0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.096 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.096 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.096 * * [simplify]: iters left: 6 (12 enodes) 0.103 * * [simplify]: iters left: 5 (46 enodes) 0.137 * * [simplify]: iters left: 4 (56 enodes) 0.145 * * [simplify]: Extracting #0: cost 1 inf + 0 0.145 * * [simplify]: Extracting #1: cost 4 inf + 0 0.145 * * [simplify]: Extracting #2: cost 5 inf + 1 0.145 * * [simplify]: Extracting #3: cost 10 inf + 1 0.145 * * [simplify]: Extracting #4: cost 14 inf + 2 0.145 * * [simplify]: Extracting #5: cost 13 inf + 87 0.145 * * [simplify]: Extracting #6: cost 16 inf + 87 0.145 * * [simplify]: Extracting #7: cost 18 inf + 128 0.145 * * [simplify]: Extracting #8: cost 15 inf + 211 0.147 * * [simplify]: Extracting #9: cost 6 inf + 1670 0.147 * * [simplify]: Extracting #10: cost 1 inf + 3047 0.148 * * [simplify]: Extracting #11: cost 0 inf + 3330 0.148 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.148 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.183 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.193 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.219 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.254 * * * [progress]: generating series expansions 0.254 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.254 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.254 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.255 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.255 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.255 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.255 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.256 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.256 * [taylor]: Taking taylor expansion of re in re 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.256 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.256 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.257 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.257 * [backup-simplify]: Simplify im into im 0.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.257 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 0 into 0 0.258 * [taylor]: Taking taylor expansion of 0 in im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.260 * [backup-simplify]: Simplify (+ 0 1) into 1 0.260 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.260 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.260 * [taylor]: Taking taylor expansion of 1/2 in im 0.260 * [backup-simplify]: Simplify 1/2 into 1/2 0.260 * [taylor]: Taking taylor expansion of im in im 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.265 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.265 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.266 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [backup-simplify]: Simplify re into re 0.266 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.266 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (+ 0 1) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [backup-simplify]: Simplify im into im 0.271 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (sqrt 1) into 1 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.275 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.275 * [taylor]: Taking taylor expansion of im in re 0.275 * [backup-simplify]: Simplify im into im 0.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.276 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (sqrt 1) into 1 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.279 * [taylor]: Taking taylor expansion of 1 in im 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of 0 in im 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.283 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.283 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.283 * [taylor]: Taking taylor expansion of 1/2 in im 0.283 * [backup-simplify]: Simplify 1/2 into 1/2 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.289 * [taylor]: Taking taylor expansion of 0 in im 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.291 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.291 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [backup-simplify]: Simplify re into re 0.292 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.292 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.294 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.297 * [taylor]: Taking taylor expansion of im in re 0.297 * [backup-simplify]: Simplify im into im 0.297 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (sqrt 1) into 1 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.301 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.302 * [taylor]: Taking taylor expansion of im in re 0.302 * [backup-simplify]: Simplify im into im 0.302 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (sqrt 1) into 1 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.306 * [taylor]: Taking taylor expansion of 1 in im 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of 0 in im 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.309 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.309 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.309 * [taylor]: Taking taylor expansion of 1/2 in im 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.316 * [taylor]: Taking taylor expansion of 0 in im 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.318 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.318 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.318 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.318 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.318 * [taylor]: Taking taylor expansion of re in im 0.318 * [backup-simplify]: Simplify re into re 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.318 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.318 * [taylor]: Taking taylor expansion of im in im 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.319 * [taylor]: Taking taylor expansion of re in im 0.319 * [backup-simplify]: Simplify re into re 0.319 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.319 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.319 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.319 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.319 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.319 * [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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.320 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.320 * [taylor]: Taking taylor expansion of im in re 0.320 * [backup-simplify]: Simplify im into im 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 (* im im) into (pow im 2) 0.320 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.321 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.321 * [taylor]: Taking taylor expansion of re in re 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.321 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.321 * [taylor]: Taking taylor expansion of re in re 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.321 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 im) into im 0.322 * [taylor]: Taking taylor expansion of im in im 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ 1 0) into 1 0.322 * [taylor]: Taking taylor expansion of 1 in im 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.325 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.325 * [taylor]: Taking taylor expansion of 1/2 in im 0.325 * [backup-simplify]: Simplify 1/2 into 1/2 0.325 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.325 * [taylor]: Taking taylor expansion of im in im 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 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.332 * [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))))) 0.332 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.333 * [taylor]: Taking taylor expansion of re in im 0.333 * [backup-simplify]: Simplify re into re 0.333 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.333 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.333 * [taylor]: Taking taylor expansion of re in im 0.333 * [backup-simplify]: Simplify re into re 0.333 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.333 * [taylor]: Taking taylor expansion of im in im 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.339 * [taylor]: Taking taylor expansion of im in re 0.339 * [backup-simplify]: Simplify im into im 0.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.339 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [backup-simplify]: Simplify (sqrt 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.342 * [taylor]: Taking taylor expansion of re in re 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.343 * [taylor]: Taking taylor expansion of re in re 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [backup-simplify]: Simplify im into im 0.344 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.345 * [backup-simplify]: Simplify (sqrt 1) into 1 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.348 * [backup-simplify]: Simplify (+ 1 1) into 2 0.348 * [taylor]: Taking taylor expansion of 2 in im 0.348 * [backup-simplify]: Simplify 2 into 2 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 2 into 2 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.353 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.353 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.353 * [taylor]: Taking taylor expansion of 1/2 in im 0.353 * [backup-simplify]: Simplify 1/2 into 1/2 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.368 * [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)) 0.369 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.369 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.369 * [taylor]: Taking taylor expansion of re in im 0.369 * [backup-simplify]: Simplify re into re 0.369 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.369 * [taylor]: Taking taylor expansion of im in im 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 0 1) into 1 0.371 * [backup-simplify]: Simplify (sqrt 1) into 1 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.373 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.373 * [taylor]: Taking taylor expansion of re in im 0.373 * [backup-simplify]: Simplify re into re 0.373 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.373 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.374 * [taylor]: Taking taylor expansion of re in re 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.374 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.374 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.375 * [backup-simplify]: Simplify (+ 1 0) into 1 0.376 * [backup-simplify]: Simplify (sqrt 1) into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.378 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.380 * [taylor]: Taking taylor expansion of im in re 0.380 * [backup-simplify]: Simplify im into im 0.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.381 * [backup-simplify]: Simplify (sqrt 1) into 1 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [backup-simplify]: Simplify (- 1) into -1 0.385 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.385 * [taylor]: Taking taylor expansion of 0 in im 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in im 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.391 * [taylor]: Taking taylor expansion of 1/2 in im 0.391 * [backup-simplify]: Simplify 1/2 into 1/2 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.391 * [taylor]: Taking taylor expansion of im in im 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.403 * [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)))))) 0.403 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.404 * [taylor]: Taking taylor expansion of 2.0 in im 0.404 * [backup-simplify]: Simplify 2.0 into 2.0 0.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.405 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.405 * [taylor]: Taking taylor expansion of re in im 0.405 * [backup-simplify]: Simplify re into re 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.405 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.405 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.405 * [taylor]: Taking taylor expansion of re in im 0.405 * [backup-simplify]: Simplify re into re 0.405 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.405 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.405 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.405 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.406 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.406 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.407 * [taylor]: Taking taylor expansion of 2.0 in re 0.407 * [backup-simplify]: Simplify 2.0 into 2.0 0.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.408 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.408 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.408 * [taylor]: Taking taylor expansion of im in re 0.408 * [backup-simplify]: Simplify im into im 0.408 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.408 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.409 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.409 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 im) into im 0.409 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.410 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.410 * [taylor]: Taking taylor expansion of 2.0 in re 0.410 * [backup-simplify]: Simplify 2.0 into 2.0 0.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.411 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.412 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [backup-simplify]: Simplify im into im 0.412 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.412 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.412 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 im) into im 0.413 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.414 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.414 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.414 * [taylor]: Taking taylor expansion of 2.0 in im 0.414 * [backup-simplify]: Simplify 2.0 into 2.0 0.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.415 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.415 * [taylor]: Taking taylor expansion of im in im 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (sqrt 0) into 0 0.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.418 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.418 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.418 * [taylor]: Taking taylor expansion of 1/2 in im 0.418 * [backup-simplify]: Simplify 1/2 into 1/2 0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.418 * [taylor]: Taking taylor expansion of 2.0 in im 0.418 * [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 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.420 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (sqrt 0) into 0 0.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.424 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.424 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.430 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.432 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.433 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.434 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ 0 1) into 1 0.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.436 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.436 * [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)))) 0.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.438 * [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))))) 0.438 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.438 * [taylor]: Taking taylor expansion of 1/8 in im 0.438 * [backup-simplify]: Simplify 1/8 into 1/8 0.438 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.438 * [taylor]: Taking taylor expansion of 2.0 in im 0.439 * [backup-simplify]: Simplify 2.0 into 2.0 0.439 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.440 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (sqrt 0) into 0 0.443 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.452 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.454 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.454 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.461 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.465 * [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))))))) 0.466 * [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))))))) 0.466 * [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 0.466 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.466 * [taylor]: Taking taylor expansion of 2.0 in im 0.466 * [backup-simplify]: Simplify 2.0 into 2.0 0.467 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.467 * [taylor]: Taking taylor expansion of re in im 0.467 * [backup-simplify]: Simplify re into re 0.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.468 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.468 * [taylor]: Taking taylor expansion of re in im 0.468 * [backup-simplify]: Simplify re into re 0.468 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.468 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.468 * [taylor]: Taking taylor expansion of im in im 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 1) into 1 0.473 * [backup-simplify]: Simplify (sqrt 0) into 0 0.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.474 * [taylor]: Taking taylor expansion of 2.0 in re 0.474 * [backup-simplify]: Simplify 2.0 into 2.0 0.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.475 * [taylor]: Taking taylor expansion of re in re 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.476 * [taylor]: Taking taylor expansion of re in re 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.477 * [backup-simplify]: Simplify im into im 0.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [backup-simplify]: Simplify (sqrt 1) into 1 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [backup-simplify]: Simplify (+ 1 1) into 2 0.482 * [backup-simplify]: Simplify (sqrt 0) into 0 0.483 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.483 * [taylor]: Taking taylor expansion of 2.0 in re 0.483 * [backup-simplify]: Simplify 2.0 into 2.0 0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.486 * [taylor]: Taking taylor expansion of im in re 0.486 * [backup-simplify]: Simplify im into im 0.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.486 * [backup-simplify]: Simplify (+ 1 0) into 1 0.487 * [backup-simplify]: Simplify (sqrt 1) into 1 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [backup-simplify]: Simplify (+ 1 1) into 2 0.490 * [backup-simplify]: Simplify (sqrt 0) into 0 0.491 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.492 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.492 * [taylor]: Taking taylor expansion of 0 in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.494 * [taylor]: Taking taylor expansion of +nan.0 in im 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.494 * [taylor]: Taking taylor expansion of 2.0 in im 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.504 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.504 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.504 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.504 * [taylor]: Taking taylor expansion of +nan.0 in im 0.504 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.504 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.504 * [taylor]: Taking taylor expansion of 2.0 in im 0.504 * [backup-simplify]: Simplify 2.0 into 2.0 0.505 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.506 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.510 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.512 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.517 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.519 * [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)) 0.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.522 * [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)))))) 0.522 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.522 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.522 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.522 * [taylor]: Taking taylor expansion of +nan.0 in im 0.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.522 * [taylor]: Taking taylor expansion of 2.0 in im 0.522 * [backup-simplify]: Simplify 2.0 into 2.0 0.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.523 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.523 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.523 * [taylor]: Taking taylor expansion of +nan.0 in im 0.524 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.524 * [taylor]: Taking taylor expansion of 2.0 in im 0.524 * [backup-simplify]: Simplify 2.0 into 2.0 0.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.525 * [taylor]: Taking taylor expansion of im in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.532 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.534 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.535 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [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))) 0.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.545 * [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)))))) 0.545 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.545 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.545 * [taylor]: Taking taylor expansion of +nan.0 in im 0.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.545 * [taylor]: Taking taylor expansion of 2.0 in im 0.545 * [backup-simplify]: Simplify 2.0 into 2.0 0.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.546 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.546 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.546 * [taylor]: Taking taylor expansion of +nan.0 in im 0.546 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.546 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.546 * [taylor]: Taking taylor expansion of 2.0 in im 0.546 * [backup-simplify]: Simplify 2.0 into 2.0 0.547 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.562 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.564 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.569 * [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)))))))) 0.569 * [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)))) 0.569 * [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 0.570 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.570 * [taylor]: Taking taylor expansion of 2.0 in im 0.570 * [backup-simplify]: Simplify 2.0 into 2.0 0.570 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.571 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.571 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.571 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.571 * [taylor]: Taking taylor expansion of re in im 0.571 * [backup-simplify]: Simplify re into re 0.571 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.571 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [backup-simplify]: Simplify (+ 0 1) into 1 0.573 * [backup-simplify]: Simplify (sqrt 1) into 1 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.575 * [taylor]: Taking taylor expansion of re in im 0.575 * [backup-simplify]: Simplify re into re 0.575 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.576 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (sqrt 0) into 0 0.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.578 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.578 * [taylor]: Taking taylor expansion of 2.0 in re 0.578 * [backup-simplify]: Simplify 2.0 into 2.0 0.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.579 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.579 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.579 * [taylor]: Taking taylor expansion of re in re 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.580 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.580 * [taylor]: Taking taylor expansion of im in re 0.580 * [backup-simplify]: Simplify im into im 0.580 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.580 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.581 * [backup-simplify]: Simplify (+ 1 0) into 1 0.581 * [backup-simplify]: Simplify (sqrt 1) into 1 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [backup-simplify]: Simplify (- 1) into -1 0.585 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.589 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.591 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.591 * [backup-simplify]: Simplify (sqrt 0) into 0 0.592 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.592 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.592 * [taylor]: Taking taylor expansion of 2.0 in re 0.592 * [backup-simplify]: Simplify 2.0 into 2.0 0.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.593 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.593 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.593 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.593 * [taylor]: Taking taylor expansion of re in re 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.594 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.594 * [taylor]: Taking taylor expansion of im in re 0.594 * [backup-simplify]: Simplify im into im 0.594 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.594 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.595 * [backup-simplify]: Simplify (+ 1 0) into 1 0.595 * [backup-simplify]: Simplify (sqrt 1) into 1 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.598 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.598 * [taylor]: Taking taylor expansion of re in re 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [backup-simplify]: Simplify (- 1) into -1 0.599 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.603 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.604 * [backup-simplify]: Simplify (sqrt 0) into 0 0.605 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.605 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.605 * [taylor]: Taking taylor expansion of 0 in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.606 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.606 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.606 * [taylor]: Taking taylor expansion of +nan.0 in im 0.606 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.606 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.606 * [taylor]: Taking taylor expansion of 2.0 in im 0.606 * [backup-simplify]: Simplify 2.0 into 2.0 0.606 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.607 * [taylor]: Taking taylor expansion of im in im 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.614 * [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)))) 0.614 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.614 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.614 * [taylor]: Taking taylor expansion of +nan.0 in im 0.614 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.614 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.614 * [taylor]: Taking taylor expansion of 2.0 in im 0.614 * [backup-simplify]: Simplify 2.0 into 2.0 0.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.615 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.630 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.631 * [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))))) 0.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.634 * [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)))))) 0.634 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.634 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.634 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.634 * [taylor]: Taking taylor expansion of +nan.0 in im 0.634 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.634 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.634 * [taylor]: Taking taylor expansion of 2.0 in im 0.634 * [backup-simplify]: Simplify 2.0 into 2.0 0.637 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.638 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.638 * [taylor]: Taking taylor expansion of im in im 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.639 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.640 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.640 * [taylor]: Taking taylor expansion of +nan.0 in im 0.640 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.640 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.640 * [taylor]: Taking taylor expansion of 2.0 in im 0.640 * [backup-simplify]: Simplify 2.0 into 2.0 0.640 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.641 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.643 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * * * [progress]: simplifying candidates 0.684 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 0.685 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 0.685 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 0.685 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 0.685 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 0.685 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 0.685 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 0.685 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.685 * * [simplify]: iters left: 6 (8 enodes) 0.689 * * [simplify]: iters left: 5 (26 enodes) 0.695 * * [simplify]: Extracting #0: cost 1 inf + 0 0.695 * * [simplify]: Extracting #1: cost 4 inf + 0 0.695 * * [simplify]: Extracting #2: cost 7 inf + 0 0.696 * * [simplify]: Extracting #3: cost 10 inf + 0 0.696 * * [simplify]: Extracting #4: cost 14 inf + 0 0.696 * * [simplify]: Extracting #5: cost 10 inf + 84 0.696 * * [simplify]: Extracting #6: cost 8 inf + 166 0.696 * * [simplify]: Extracting #7: cost 4 inf + 854 0.697 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.697 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.698 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.698 * [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))))) 0.698 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 0.698 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.698 * * [simplify]: iters left: 6 (7 enodes) 0.701 * * [simplify]: iters left: 5 (22 enodes) 0.707 * * [simplify]: Extracting #0: cost 1 inf + 0 0.707 * * [simplify]: Extracting #1: cost 3 inf + 0 0.707 * * [simplify]: Extracting #2: cost 5 inf + 0 0.707 * * [simplify]: Extracting #3: cost 8 inf + 0 0.707 * * [simplify]: Extracting #4: cost 12 inf + 0 0.707 * * [simplify]: Extracting #5: cost 10 inf + 2 0.707 * * [simplify]: Extracting #6: cost 1 inf + 936 0.708 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.708 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.708 * [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))))) 0.708 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 0.709 * [simplify]: Simplifying (sqrt 1) 0.709 * * [simplify]: iters left: 1 (2 enodes) 0.712 * * [simplify]: Extracting #0: cost 1 inf + 0 0.712 * * [simplify]: Extracting #1: cost 0 inf + 1 0.712 * [simplify]: Simplified to 1 0.712 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.712 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 0.712 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.712 * * [simplify]: iters left: 6 (9 enodes) 0.717 * * [simplify]: iters left: 5 (45 enodes) 0.737 * * [simplify]: iters left: 4 (100 enodes) 0.782 * * [simplify]: iters left: 3 (201 enodes) 0.840 * * [simplify]: iters left: 2 (406 enodes) 0.976 * * [simplify]: Extracting #0: cost 1 inf + 0 0.976 * * [simplify]: Extracting #1: cost 3 inf + 0 0.976 * * [simplify]: Extracting #2: cost 6 inf + 0 0.976 * * [simplify]: Extracting #3: cost 62 inf + 0 0.976 * * [simplify]: Extracting #4: cost 166 inf + 460 0.978 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.981 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.987 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.992 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.997 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.997 * [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))))) 0.997 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 0.997 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.998 * * [simplify]: iters left: 6 (8 enodes) 1.000 * * [simplify]: iters left: 5 (37 enodes) 1.010 * * [simplify]: iters left: 4 (67 enodes) 1.022 * * [simplify]: iters left: 3 (123 enodes) 1.060 * * [simplify]: iters left: 2 (278 enodes) 1.194 * * [simplify]: Extracting #0: cost 1 inf + 0 1.194 * * [simplify]: Extracting #1: cost 3 inf + 0 1.194 * * [simplify]: Extracting #2: cost 50 inf + 0 1.195 * * [simplify]: Extracting #3: cost 150 inf + 0 1.196 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.198 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.204 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.212 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.219 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.219 * [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))))) 1.222 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 1.222 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.222 * * [simplify]: iters left: 4 (5 enodes) 1.223 * * [simplify]: iters left: 3 (16 enodes) 1.226 * * [simplify]: Extracting #0: cost 1 inf + 0 1.226 * * [simplify]: Extracting #1: cost 4 inf + 0 1.226 * * [simplify]: Extracting #2: cost 8 inf + 0 1.226 * * [simplify]: Extracting #3: cost 4 inf + 84 1.226 * * [simplify]: Extracting #4: cost 0 inf + 410 1.226 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.226 * [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))))) 1.226 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 1.226 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 1.226 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.226 * * [simplify]: iters left: 5 (6 enodes) 1.228 * * [simplify]: iters left: 4 (19 enodes) 1.230 * * [simplify]: Extracting #0: cost 1 inf + 0 1.230 * * [simplify]: Extracting #1: cost 3 inf + 0 1.230 * * [simplify]: Extracting #2: cost 6 inf + 0 1.230 * * [simplify]: Extracting #3: cost 10 inf + 0 1.230 * * [simplify]: Extracting #4: cost 6 inf + 84 1.230 * * [simplify]: Extracting #5: cost 0 inf + 734 1.231 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.231 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.231 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 1.231 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.231 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 1.231 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.231 * * [simplify]: iters left: 6 (9 enodes) 1.235 * * [simplify]: iters left: 5 (31 enodes) 1.243 * * [simplify]: iters left: 4 (35 enodes) 1.251 * * [simplify]: Extracting #0: cost 1 inf + 0 1.251 * * [simplify]: Extracting #1: cost 5 inf + 0 1.251 * * [simplify]: Extracting #2: cost 10 inf + 0 1.252 * * [simplify]: Extracting #3: cost 11 inf + 1 1.252 * * [simplify]: Extracting #4: cost 12 inf + 143 1.252 * * [simplify]: Extracting #5: cost 14 inf + 184 1.252 * * [simplify]: Extracting #6: cost 10 inf + 308 1.252 * * [simplify]: Extracting #7: cost 7 inf + 794 1.253 * * [simplify]: Extracting #8: cost 1 inf + 2056 1.254 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.254 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.254 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.255 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 1.255 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 1.255 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 1.256 * * [simplify]: iters left: 6 (7 enodes) 1.259 * * [simplify]: iters left: 5 (23 enodes) 1.261 * * [simplify]: Extracting #0: cost 1 inf + 0 1.262 * * [simplify]: Extracting #1: cost 4 inf + 0 1.262 * * [simplify]: Extracting #2: cost 5 inf + 1 1.262 * * [simplify]: Extracting #3: cost 8 inf + 1 1.262 * * [simplify]: Extracting #4: cost 10 inf + 42 1.262 * * [simplify]: Extracting #5: cost 8 inf + 84 1.262 * * [simplify]: Extracting #6: cost 1 inf + 936 1.262 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.263 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 1.263 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 1.263 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 1.263 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 1.263 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 1.263 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 1.263 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 1.263 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 1.263 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 1.263 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 1.263 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 1.263 * [simplify]: Simplifying (sqrt 2.0) 1.263 * * [simplify]: iters left: 1 (2 enodes) 1.264 * * [simplify]: Extracting #0: cost 1 inf + 0 1.264 * * [simplify]: Extracting #1: cost 3 inf + 0 1.264 * * [simplify]: Extracting #2: cost 2 inf + 1 1.264 * * [simplify]: Extracting #3: cost 0 inf + 83 1.264 * [simplify]: Simplified to (sqrt 2.0) 1.264 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 1.265 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 1.265 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.265 * * [simplify]: iters left: 6 (13 enodes) 1.268 * * [simplify]: iters left: 5 (60 enodes) 1.281 * * [simplify]: iters left: 4 (109 enodes) 1.311 * * [simplify]: iters left: 3 (209 enodes) 1.369 * * [simplify]: iters left: 2 (444 enodes) 1.519 * * [simplify]: Extracting #0: cost 1 inf + 0 1.519 * * [simplify]: Extracting #1: cost 3 inf + 0 1.519 * * [simplify]: Extracting #2: cost 14 inf + 0 1.519 * * [simplify]: Extracting #3: cost 101 inf + 1 1.521 * * [simplify]: Extracting #4: cost 193 inf + 736 1.526 * * [simplify]: Extracting #5: cost 133 inf + 14308 1.543 * * [simplify]: Extracting #6: cost 18 inf + 66689 1.565 * * [simplify]: Extracting #7: cost 0 inf + 74616 1.587 * * [simplify]: Extracting #8: cost 0 inf + 74234 1.611 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.611 * [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))))))) 1.611 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 1.611 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.612 * * [simplify]: iters left: 6 (11 enodes) 1.617 * * [simplify]: iters left: 5 (38 enodes) 1.629 * * [simplify]: iters left: 4 (70 enodes) 1.654 * * [simplify]: iters left: 3 (163 enodes) 1.715 * * [simplify]: iters left: 2 (400 enodes) 1.965 * * [simplify]: Extracting #0: cost 1 inf + 0 1.965 * * [simplify]: Extracting #1: cost 3 inf + 0 1.966 * * [simplify]: Extracting #2: cost 60 inf + 0 1.967 * * [simplify]: Extracting #3: cost 168 inf + 44 1.969 * * [simplify]: Extracting #4: cost 209 inf + 1112 1.975 * * [simplify]: Extracting #5: cost 129 inf + 16179 1.986 * * [simplify]: Extracting #6: cost 16 inf + 47708 1.999 * * [simplify]: Extracting #7: cost 0 inf + 52863 2.014 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.015 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 2.015 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 2.015 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.015 * * [simplify]: iters left: 6 (9 enodes) 2.021 * * [simplify]: iters left: 5 (36 enodes) 2.032 * * [simplify]: iters left: 4 (46 enodes) 2.044 * * [simplify]: Extracting #0: cost 1 inf + 0 2.044 * * [simplify]: Extracting #1: cost 6 inf + 0 2.044 * * [simplify]: Extracting #2: cost 10 inf + 1 2.044 * * [simplify]: Extracting #3: cost 10 inf + 44 2.044 * * [simplify]: Extracting #4: cost 12 inf + 86 2.044 * * [simplify]: Extracting #5: cost 14 inf + 127 2.045 * * [simplify]: Extracting #6: cost 12 inf + 169 2.045 * * [simplify]: Extracting #7: cost 8 inf + 495 2.045 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.046 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.047 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.047 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.047 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 2.048 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.048 * * [simplify]: iters left: 6 (9 enodes) 2.053 * * [simplify]: iters left: 5 (36 enodes) 2.064 * * [simplify]: iters left: 4 (46 enodes) 2.075 * * [simplify]: Extracting #0: cost 1 inf + 0 2.076 * * [simplify]: Extracting #1: cost 6 inf + 0 2.076 * * [simplify]: Extracting #2: cost 10 inf + 1 2.076 * * [simplify]: Extracting #3: cost 10 inf + 44 2.076 * * [simplify]: Extracting #4: cost 12 inf + 86 2.076 * * [simplify]: Extracting #5: cost 14 inf + 127 2.076 * * [simplify]: Extracting #6: cost 12 inf + 169 2.077 * * [simplify]: Extracting #7: cost 8 inf + 495 2.077 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.078 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.079 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.079 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.079 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 2.079 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 2.079 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 2.079 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 2.080 * [simplify]: Simplifying im 2.080 * * [simplify]: iters left: 0 (1 enodes) 2.080 * * [simplify]: Extracting #0: cost 1 inf + 0 2.080 * * [simplify]: Extracting #1: cost 0 inf + 1 2.080 * [simplify]: Simplified to im 2.080 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.080 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 2.081 * [simplify]: Simplifying re 2.081 * * [simplify]: iters left: 0 (1 enodes) 2.081 * * [simplify]: Extracting #0: cost 1 inf + 0 2.081 * * [simplify]: Extracting #1: cost 0 inf + 1 2.081 * [simplify]: Simplified to re 2.081 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 2.081 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 2.082 * [simplify]: Simplifying (* -1 re) 2.082 * * [simplify]: iters left: 2 (3 enodes) 2.084 * * [simplify]: iters left: 1 (11 enodes) 2.088 * * [simplify]: Extracting #0: cost 1 inf + 0 2.088 * * [simplify]: Extracting #1: cost 4 inf + 0 2.088 * * [simplify]: Extracting #2: cost 0 inf + 84 2.088 * [simplify]: Simplified to (- re) 2.088 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 2.088 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 2.088 * [simplify]: Simplifying (+ re im) 2.088 * * [simplify]: iters left: 2 (3 enodes) 2.089 * * [simplify]: iters left: 1 (10 enodes) 2.090 * * [simplify]: Extracting #0: cost 1 inf + 0 2.090 * * [simplify]: Extracting #1: cost 4 inf + 0 2.090 * * [simplify]: Extracting #2: cost 2 inf + 2 2.090 * * [simplify]: Extracting #3: cost 0 inf + 86 2.090 * [simplify]: Simplified to (+ im re) 2.090 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.090 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 2.090 * [simplify]: Simplifying (* 2 re) 2.090 * * [simplify]: iters left: 2 (3 enodes) 2.091 * * [simplify]: iters left: 1 (10 enodes) 2.093 * * [simplify]: Extracting #0: cost 1 inf + 0 2.093 * * [simplify]: Extracting #1: cost 4 inf + 0 2.093 * * [simplify]: Extracting #2: cost 2 inf + 2 2.093 * * [simplify]: Extracting #3: cost 0 inf + 86 2.093 * [simplify]: Simplified to (* 2 re) 2.093 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 2.093 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 2.093 * [simplify]: Simplifying 0 2.093 * * [simplify]: iters left: 0 (1 enodes) 2.094 * * [simplify]: Extracting #0: cost 1 inf + 0 2.094 * * [simplify]: Extracting #1: cost 0 inf + 1 2.094 * [simplify]: Simplified to 0 2.094 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.094 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 2.094 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 2.094 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.094 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 2.094 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.095 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.095 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 2.095 * [simplify]: Simplifying 0 2.095 * * [simplify]: iters left: 0 (1 enodes) 2.095 * * [simplify]: Extracting #0: cost 1 inf + 0 2.095 * * [simplify]: Extracting #1: cost 0 inf + 1 2.095 * [simplify]: Simplified to 0 2.095 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.095 * * * [progress]: adding candidates to table 2.630 * * [progress]: iteration 2 / 4 2.630 * * * [progress]: picking best candidate 2.640 * * * * [pick]: Picked # 2.640 * * * [progress]: localizing error 2.685 * * * [progress]: generating rewritten candidates 2.686 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.697 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.762 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 2.776 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.802 * * * [progress]: generating series expansions 2.802 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 2.802 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.802 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.802 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.802 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.802 * [taylor]: Taking taylor expansion of im in im 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.802 * [taylor]: Taking taylor expansion of re in im 2.802 * [backup-simplify]: Simplify re into re 2.802 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.803 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.803 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.803 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.803 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.803 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.803 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.803 * [taylor]: Taking taylor expansion of im in re 2.803 * [backup-simplify]: Simplify im into im 2.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.803 * [taylor]: Taking taylor expansion of re in re 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.803 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.803 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.804 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.804 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.804 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.804 * [taylor]: Taking taylor expansion of im in re 2.804 * [backup-simplify]: Simplify im into im 2.804 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.804 * [taylor]: Taking taylor expansion of re in re 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.804 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.804 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.805 * [taylor]: Taking taylor expansion of im in im 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [taylor]: Taking taylor expansion of 0 in im 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (+ 0 1) into 1 2.806 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.806 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.806 * [taylor]: Taking taylor expansion of 1/2 in im 2.806 * [backup-simplify]: Simplify 1/2 into 1/2 2.806 * [taylor]: Taking taylor expansion of im in im 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.808 * [taylor]: Taking taylor expansion of 0 in im 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.809 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.809 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.809 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.809 * [taylor]: Taking taylor expansion of re in im 2.809 * [backup-simplify]: Simplify re into re 2.809 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.809 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.810 * [taylor]: Taking taylor expansion of im in im 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.810 * [backup-simplify]: Simplify (+ 0 1) into 1 2.811 * [backup-simplify]: Simplify (sqrt 1) into 1 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.812 * [taylor]: Taking taylor expansion of re in re 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (* 1 1) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.813 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.813 * [taylor]: Taking taylor expansion of im in re 2.813 * [backup-simplify]: Simplify im into im 2.813 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.813 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.813 * [backup-simplify]: Simplify (+ 1 0) into 1 2.813 * [backup-simplify]: Simplify (sqrt 1) into 1 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.815 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.815 * [taylor]: Taking taylor expansion of re in re 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (* 1 1) into 1 2.816 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.816 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.816 * [taylor]: Taking taylor expansion of im in re 2.816 * [backup-simplify]: Simplify im into im 2.816 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.816 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.816 * [backup-simplify]: Simplify (+ 1 0) into 1 2.816 * [backup-simplify]: Simplify (sqrt 1) into 1 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.818 * [taylor]: Taking taylor expansion of 1 in im 2.818 * [backup-simplify]: Simplify 1 into 1 2.818 * [taylor]: Taking taylor expansion of 0 in im 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.822 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.822 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.822 * [taylor]: Taking taylor expansion of 1/2 in im 2.822 * [backup-simplify]: Simplify 1/2 into 1/2 2.822 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.822 * [taylor]: Taking taylor expansion of im in im 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.826 * [taylor]: Taking taylor expansion of 0 in im 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.827 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.827 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.827 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.827 * [taylor]: Taking taylor expansion of re in im 2.827 * [backup-simplify]: Simplify re into re 2.827 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.827 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.827 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.827 * [taylor]: Taking taylor expansion of im in im 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [backup-simplify]: Simplify (+ 0 1) into 1 2.828 * [backup-simplify]: Simplify (sqrt 1) into 1 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.830 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.830 * [taylor]: Taking taylor expansion of re in re 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (* 1 1) into 1 2.830 * [backup-simplify]: Simplify (/ 1 1) into 1 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.830 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.830 * [taylor]: Taking taylor expansion of im in re 2.830 * [backup-simplify]: Simplify im into im 2.830 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.831 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.831 * [backup-simplify]: Simplify (+ 1 0) into 1 2.831 * [backup-simplify]: Simplify (sqrt 1) into 1 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.833 * [taylor]: Taking taylor expansion of re in re 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (* 1 1) into 1 2.833 * [backup-simplify]: Simplify (/ 1 1) into 1 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.833 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.833 * [taylor]: Taking taylor expansion of im in re 2.833 * [backup-simplify]: Simplify im into im 2.833 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.833 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.834 * [backup-simplify]: Simplify (+ 1 0) into 1 2.834 * [backup-simplify]: Simplify (sqrt 1) into 1 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ 0 0) into 0 2.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.835 * [taylor]: Taking taylor expansion of 1 in im 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [taylor]: Taking taylor expansion of 0 in im 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.837 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.837 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.837 * [taylor]: Taking taylor expansion of 1/2 in im 2.837 * [backup-simplify]: Simplify 1/2 into 1/2 2.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.837 * [taylor]: Taking taylor expansion of im in im 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.842 * [taylor]: Taking taylor expansion of 0 in im 2.842 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.845 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.845 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 2.845 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 2.845 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 2.845 * [taylor]: Taking taylor expansion of re in im 2.845 * [backup-simplify]: Simplify re into re 2.845 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.845 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.845 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.845 * [taylor]: Taking taylor expansion of im in im 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.845 * [taylor]: Taking taylor expansion of re in im 2.845 * [backup-simplify]: Simplify re into re 2.845 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.846 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.846 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.846 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.846 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 2.846 * [taylor]: Taking taylor expansion of re in re 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.846 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.846 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.846 * [taylor]: Taking taylor expansion of im in re 2.846 * [backup-simplify]: Simplify im into im 2.846 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.846 * [taylor]: Taking taylor expansion of re in re 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.847 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.847 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.847 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.847 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 2.847 * [taylor]: Taking taylor expansion of re in re 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.848 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.848 * [taylor]: Taking taylor expansion of im in re 2.848 * [backup-simplify]: Simplify im into im 2.848 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.848 * [taylor]: Taking taylor expansion of re in re 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.848 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.848 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.848 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.849 * [backup-simplify]: Simplify (+ 0 im) into im 2.849 * [taylor]: Taking taylor expansion of im in im 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ 1 0) into 1 2.849 * [taylor]: Taking taylor expansion of 1 in im 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.850 * [backup-simplify]: Simplify (* 1 1) into 1 2.851 * [backup-simplify]: Simplify (+ 0 1) into 1 2.852 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.852 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.852 * [taylor]: Taking taylor expansion of 1/2 in im 2.852 * [backup-simplify]: Simplify 1/2 into 1/2 2.852 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.852 * [taylor]: Taking taylor expansion of im in im 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (/ 1 1) into 1 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.856 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.857 * [taylor]: Taking taylor expansion of 0 in im 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.859 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 2.859 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 2.859 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.859 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.859 * [taylor]: Taking taylor expansion of re in im 2.859 * [backup-simplify]: Simplify re into re 2.859 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.860 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.860 * [taylor]: Taking taylor expansion of re in im 2.860 * [backup-simplify]: Simplify re into re 2.860 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.860 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.860 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.860 * [taylor]: Taking taylor expansion of im in im 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* 1 1) into 1 2.861 * [backup-simplify]: Simplify (/ 1 1) into 1 2.861 * [backup-simplify]: Simplify (+ 0 1) into 1 2.862 * [backup-simplify]: Simplify (sqrt 1) into 1 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.864 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.864 * [taylor]: Taking taylor expansion of re in re 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ 1 1) into 1 2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.865 * [taylor]: Taking taylor expansion of re in re 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.866 * [taylor]: Taking taylor expansion of im in re 2.866 * [backup-simplify]: Simplify im into im 2.866 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.867 * [backup-simplify]: Simplify (+ 1 0) into 1 2.867 * [backup-simplify]: Simplify (sqrt 1) into 1 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.870 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.870 * [taylor]: Taking taylor expansion of re in re 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify (/ 1 1) into 1 2.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.870 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.870 * [taylor]: Taking taylor expansion of re in re 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.871 * [backup-simplify]: Simplify (/ 1 1) into 1 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.871 * [taylor]: Taking taylor expansion of im in re 2.871 * [backup-simplify]: Simplify im into im 2.871 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.872 * [backup-simplify]: Simplify (+ 1 0) into 1 2.872 * [backup-simplify]: Simplify (sqrt 1) into 1 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.875 * [backup-simplify]: Simplify (+ 1 1) into 2 2.875 * [taylor]: Taking taylor expansion of 2 in im 2.875 * [backup-simplify]: Simplify 2 into 2 2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [taylor]: Taking taylor expansion of 0 in im 2.876 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 2 into 2 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.881 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.881 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.881 * [taylor]: Taking taylor expansion of 1/2 in im 2.881 * [backup-simplify]: Simplify 1/2 into 1/2 2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.881 * [taylor]: Taking taylor expansion of im in im 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (* 1 1) into 1 2.882 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [taylor]: Taking taylor expansion of 0 in im 2.888 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.892 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 2.892 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 2.892 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.892 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.892 * [taylor]: Taking taylor expansion of re in im 2.892 * [backup-simplify]: Simplify re into re 2.892 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.892 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.892 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.892 * [taylor]: Taking taylor expansion of im in im 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (* 1 1) into 1 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.893 * [backup-simplify]: Simplify (+ 0 1) into 1 2.894 * [backup-simplify]: Simplify (sqrt 1) into 1 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.896 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.896 * [taylor]: Taking taylor expansion of re in im 2.896 * [backup-simplify]: Simplify re into re 2.896 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.896 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.896 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.896 * [taylor]: Taking taylor expansion of re in re 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (* 1 1) into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.897 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.897 * [taylor]: Taking taylor expansion of im in re 2.897 * [backup-simplify]: Simplify im into im 2.897 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.897 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.898 * [backup-simplify]: Simplify (+ 1 0) into 1 2.898 * [backup-simplify]: Simplify (sqrt 1) into 1 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.901 * [taylor]: Taking taylor expansion of re in re 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.901 * [taylor]: Taking taylor expansion of re in re 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.902 * [taylor]: Taking taylor expansion of im in re 2.902 * [backup-simplify]: Simplify im into im 2.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.902 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.903 * [backup-simplify]: Simplify (+ 1 0) into 1 2.903 * [backup-simplify]: Simplify (sqrt 1) into 1 2.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.904 * [taylor]: Taking taylor expansion of re in re 2.904 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (/ 1 1) into 1 2.905 * [backup-simplify]: Simplify (- 1) into -1 2.905 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.905 * [taylor]: Taking taylor expansion of 0 in im 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [taylor]: Taking taylor expansion of 0 in im 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.909 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.910 * [taylor]: Taking taylor expansion of 1/2 in im 2.910 * [backup-simplify]: Simplify 1/2 into 1/2 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.910 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.910 * [taylor]: Taking taylor expansion of im in im 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- 0) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [taylor]: Taking taylor expansion of 0 in im 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 2.917 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 2.917 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.917 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.917 * [taylor]: Taking taylor expansion of im in im 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.917 * [taylor]: Taking taylor expansion of re in im 2.917 * [backup-simplify]: Simplify re into re 2.917 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.917 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.917 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.917 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.917 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.918 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.918 * [taylor]: Taking taylor expansion of im in re 2.918 * [backup-simplify]: Simplify im into im 2.918 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.918 * [taylor]: Taking taylor expansion of re in re 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.918 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.918 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.918 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.918 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.918 * [taylor]: Taking taylor expansion of im in re 2.918 * [backup-simplify]: Simplify im into im 2.918 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.918 * [taylor]: Taking taylor expansion of re in re 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.918 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.918 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.919 * [taylor]: Taking taylor expansion of im in im 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [taylor]: Taking taylor expansion of 0 in im 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.920 * [backup-simplify]: Simplify (* 1 1) into 1 2.920 * [backup-simplify]: Simplify (+ 0 1) into 1 2.920 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.920 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.920 * [taylor]: Taking taylor expansion of 1/2 in im 2.920 * [backup-simplify]: Simplify 1/2 into 1/2 2.920 * [taylor]: Taking taylor expansion of im in im 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.923 * [taylor]: Taking taylor expansion of 0 in im 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.923 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.923 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.924 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.924 * [taylor]: Taking taylor expansion of re in im 2.924 * [backup-simplify]: Simplify re into re 2.924 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.924 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.924 * [taylor]: Taking taylor expansion of im in im 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (* 1 1) into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.925 * [backup-simplify]: Simplify (+ 0 1) into 1 2.925 * [backup-simplify]: Simplify (sqrt 1) into 1 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.926 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.926 * [taylor]: Taking taylor expansion of re in re 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (* 1 1) into 1 2.927 * [backup-simplify]: Simplify (/ 1 1) into 1 2.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.927 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.927 * [taylor]: Taking taylor expansion of im in re 2.927 * [backup-simplify]: Simplify im into im 2.927 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.927 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.927 * [backup-simplify]: Simplify (+ 1 0) into 1 2.927 * [backup-simplify]: Simplify (sqrt 1) into 1 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.929 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.929 * [taylor]: Taking taylor expansion of re in re 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (* 1 1) into 1 2.930 * [backup-simplify]: Simplify (/ 1 1) into 1 2.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.930 * [taylor]: Taking taylor expansion of im in re 2.930 * [backup-simplify]: Simplify im into im 2.930 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.930 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.930 * [backup-simplify]: Simplify (+ 1 0) into 1 2.930 * [backup-simplify]: Simplify (sqrt 1) into 1 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.932 * [taylor]: Taking taylor expansion of 1 in im 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of 0 in im 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.934 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.934 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.934 * [taylor]: Taking taylor expansion of 1/2 in im 2.934 * [backup-simplify]: Simplify 1/2 into 1/2 2.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.934 * [taylor]: Taking taylor expansion of im in im 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.935 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.942 * [taylor]: Taking taylor expansion of 0 in im 2.942 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.944 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.944 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.945 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.945 * [taylor]: Taking taylor expansion of re in im 2.945 * [backup-simplify]: Simplify re into re 2.945 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.945 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.945 * [taylor]: Taking taylor expansion of im in im 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (* 1 1) into 1 2.946 * [backup-simplify]: Simplify (/ 1 1) into 1 2.946 * [backup-simplify]: Simplify (+ 0 1) into 1 2.947 * [backup-simplify]: Simplify (sqrt 1) into 1 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.949 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.949 * [taylor]: Taking taylor expansion of re in re 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (* 1 1) into 1 2.950 * [backup-simplify]: Simplify (/ 1 1) into 1 2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.950 * [taylor]: Taking taylor expansion of im in re 2.950 * [backup-simplify]: Simplify im into im 2.950 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.950 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.951 * [backup-simplify]: Simplify (+ 1 0) into 1 2.951 * [backup-simplify]: Simplify (sqrt 1) into 1 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.954 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.954 * [taylor]: Taking taylor expansion of re in re 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (* 1 1) into 1 2.955 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.955 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.955 * [taylor]: Taking taylor expansion of im in re 2.955 * [backup-simplify]: Simplify im into im 2.955 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.955 * [backup-simplify]: Simplify (+ 1 0) into 1 2.956 * [backup-simplify]: Simplify (sqrt 1) into 1 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.958 * [taylor]: Taking taylor expansion of 1 in im 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [taylor]: Taking taylor expansion of 0 in im 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.962 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.962 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.962 * [taylor]: Taking taylor expansion of 1/2 in im 2.962 * [backup-simplify]: Simplify 1/2 into 1/2 2.962 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.962 * [taylor]: Taking taylor expansion of im in im 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* 1 1) into 1 2.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.967 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.968 * [taylor]: Taking taylor expansion of 0 in im 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.970 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.970 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 2.970 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 2.970 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 2.970 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.970 * [taylor]: Taking taylor expansion of 2.0 in im 2.970 * [backup-simplify]: Simplify 2.0 into 2.0 2.971 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.972 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 2.972 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 2.972 * [taylor]: Taking taylor expansion of re in im 2.972 * [backup-simplify]: Simplify re into re 2.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.972 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.972 * [taylor]: Taking taylor expansion of im in im 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.972 * [taylor]: Taking taylor expansion of re in im 2.972 * [backup-simplify]: Simplify re into re 2.972 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.972 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.972 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.972 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.973 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.973 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.974 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 2.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.974 * [taylor]: Taking taylor expansion of 2.0 in re 2.974 * [backup-simplify]: Simplify 2.0 into 2.0 2.974 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.975 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 2.975 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 2.975 * [taylor]: Taking taylor expansion of re in re 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.975 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.975 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.975 * [taylor]: Taking taylor expansion of im in re 2.975 * [backup-simplify]: Simplify im into im 2.975 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.975 * [taylor]: Taking taylor expansion of re in re 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.975 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.975 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.976 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.976 * [backup-simplify]: Simplify (+ 0 0) into 0 2.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.976 * [backup-simplify]: Simplify (+ 0 im) into im 2.976 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.977 * [backup-simplify]: Simplify (+ 1 0) into 1 2.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.977 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 2.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.977 * [taylor]: Taking taylor expansion of 2.0 in re 2.977 * [backup-simplify]: Simplify 2.0 into 2.0 2.977 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.978 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 2.978 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.978 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.978 * [taylor]: Taking taylor expansion of im in re 2.978 * [backup-simplify]: Simplify im into im 2.978 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.979 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.979 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.979 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.979 * [backup-simplify]: Simplify (+ 0 im) into im 2.979 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.980 * [backup-simplify]: Simplify (+ 1 0) into 1 2.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.980 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 2.980 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.980 * [taylor]: Taking taylor expansion of 2.0 in im 2.980 * [backup-simplify]: Simplify 2.0 into 2.0 2.981 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.982 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.982 * [taylor]: Taking taylor expansion of im in im 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (sqrt 0) into 0 2.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.984 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.984 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 2.985 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.985 * [taylor]: Taking taylor expansion of 1/2 in im 2.985 * [backup-simplify]: Simplify 1/2 into 1/2 2.985 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.985 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.985 * [taylor]: Taking taylor expansion of 2.0 in im 2.985 * [backup-simplify]: Simplify 2.0 into 2.0 2.985 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.986 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.986 * [taylor]: Taking taylor expansion of im in im 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [backup-simplify]: Simplify (sqrt 0) into 0 2.988 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.990 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.991 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.995 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.996 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.998 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.000 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.000 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.001 * [backup-simplify]: Simplify (* 1 1) into 1 3.001 * [backup-simplify]: Simplify (+ 0 1) into 1 3.002 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.002 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.002 * [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)))) 3.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.004 * [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))))) 3.004 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 3.004 * [taylor]: Taking taylor expansion of 1/8 in im 3.004 * [backup-simplify]: Simplify 1/8 into 1/8 3.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 3.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.005 * [taylor]: Taking taylor expansion of 2.0 in im 3.005 * [backup-simplify]: Simplify 2.0 into 2.0 3.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.006 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.006 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.006 * [taylor]: Taking taylor expansion of im in im 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [backup-simplify]: Simplify (sqrt 0) into 0 3.009 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.015 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.018 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.020 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.020 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.026 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.027 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.032 * [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))))))) 3.033 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (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))))))) 3.033 * [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 3.033 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 3.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.033 * [taylor]: Taking taylor expansion of 2.0 in im 3.033 * [backup-simplify]: Simplify 2.0 into 2.0 3.033 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 3.035 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.035 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.035 * [taylor]: Taking taylor expansion of re in im 3.035 * [backup-simplify]: Simplify re into re 3.035 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.035 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.035 * [taylor]: Taking taylor expansion of re in im 3.035 * [backup-simplify]: Simplify re into re 3.035 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.035 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.035 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.035 * [taylor]: Taking taylor expansion of im in im 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify (* 1 1) into 1 3.036 * [backup-simplify]: Simplify (/ 1 1) into 1 3.036 * [backup-simplify]: Simplify (+ 0 1) into 1 3.037 * [backup-simplify]: Simplify (sqrt 1) into 1 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.040 * [backup-simplify]: Simplify (+ 0 1) into 1 3.040 * [backup-simplify]: Simplify (sqrt 0) into 0 3.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.042 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.042 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.042 * [taylor]: Taking taylor expansion of 2.0 in re 3.042 * [backup-simplify]: Simplify 2.0 into 2.0 3.042 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.043 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.043 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.043 * [taylor]: Taking taylor expansion of re in re 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (/ 1 1) into 1 3.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.044 * [taylor]: Taking taylor expansion of re in re 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [backup-simplify]: Simplify (* 1 1) into 1 3.044 * [backup-simplify]: Simplify (/ 1 1) into 1 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.044 * [taylor]: Taking taylor expansion of im in re 3.044 * [backup-simplify]: Simplify im into im 3.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.045 * [backup-simplify]: Simplify (+ 1 0) into 1 3.045 * [backup-simplify]: Simplify (sqrt 1) into 1 3.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.048 * [backup-simplify]: Simplify (+ 1 1) into 2 3.049 * [backup-simplify]: Simplify (sqrt 0) into 0 3.050 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.050 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.050 * [taylor]: Taking taylor expansion of 2.0 in re 3.050 * [backup-simplify]: Simplify 2.0 into 2.0 3.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.051 * [taylor]: Taking taylor expansion of re in re 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (/ 1 1) into 1 3.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.052 * [taylor]: Taking taylor expansion of re in re 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (* 1 1) into 1 3.053 * [backup-simplify]: Simplify (/ 1 1) into 1 3.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.053 * [taylor]: Taking taylor expansion of im in re 3.053 * [backup-simplify]: Simplify im into im 3.053 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.053 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.053 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (sqrt 1) into 1 3.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ 0 0) into 0 3.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.057 * [backup-simplify]: Simplify (+ 1 1) into 2 3.057 * [backup-simplify]: Simplify (sqrt 0) into 0 3.058 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.059 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.059 * [taylor]: Taking taylor expansion of 0 in im 3.059 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.061 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.061 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.061 * [taylor]: Taking taylor expansion of +nan.0 in im 3.061 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.061 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.061 * [taylor]: Taking taylor expansion of 2.0 in im 3.061 * [backup-simplify]: Simplify 2.0 into 2.0 3.061 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (+ 0 0) into 0 3.067 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.071 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.071 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.071 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.071 * [taylor]: Taking taylor expansion of +nan.0 in im 3.071 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.071 * [taylor]: Taking taylor expansion of 2.0 in im 3.071 * [backup-simplify]: Simplify 2.0 into 2.0 3.072 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.073 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.075 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.076 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.076 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.080 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.084 * [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)) 3.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.087 * [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)))))) 3.087 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.087 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.087 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.087 * [taylor]: Taking taylor expansion of +nan.0 in im 3.087 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.087 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.087 * [taylor]: Taking taylor expansion of 2.0 in im 3.087 * [backup-simplify]: Simplify 2.0 into 2.0 3.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.088 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.088 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.088 * [taylor]: Taking taylor expansion of +nan.0 in im 3.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.088 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.088 * [taylor]: Taking taylor expansion of 2.0 in im 3.089 * [backup-simplify]: Simplify 2.0 into 2.0 3.089 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.090 * [taylor]: Taking taylor expansion of im in im 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (* 1 1) into 1 3.091 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.094 * [backup-simplify]: Simplify (- 0) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.094 * [backup-simplify]: Simplify (- 0) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.097 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.098 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.099 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.099 * [backup-simplify]: Simplify (- 0) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.103 * [backup-simplify]: Simplify (+ 0 0) into 0 3.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.104 * [backup-simplify]: Simplify (+ 0 0) into 0 3.105 * [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))) 3.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.108 * [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)))))) 3.108 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.108 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.108 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.109 * [taylor]: Taking taylor expansion of +nan.0 in im 3.109 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.109 * [taylor]: Taking taylor expansion of 2.0 in im 3.109 * [backup-simplify]: Simplify 2.0 into 2.0 3.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.110 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.110 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.110 * [taylor]: Taking taylor expansion of +nan.0 in im 3.110 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.110 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.110 * [taylor]: Taking taylor expansion of 2.0 in im 3.110 * [backup-simplify]: Simplify 2.0 into 2.0 3.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.111 * [taylor]: Taking taylor expansion of im in im 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (* 1 1) into 1 3.112 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.113 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.115 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.117 * [backup-simplify]: Simplify (- 0) into 0 3.118 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.120 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.121 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.123 * [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)))))))) 3.124 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (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)))) 3.124 * [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 3.124 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.124 * [taylor]: Taking taylor expansion of 2.0 in im 3.124 * [backup-simplify]: Simplify 2.0 into 2.0 3.124 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.125 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.125 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.125 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.125 * [taylor]: Taking taylor expansion of re in im 3.125 * [backup-simplify]: Simplify re into re 3.125 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.125 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.125 * [taylor]: Taking taylor expansion of im in im 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (* 1 1) into 1 3.125 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [backup-simplify]: Simplify (+ 0 1) into 1 3.126 * [backup-simplify]: Simplify (sqrt 1) into 1 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.127 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.127 * [taylor]: Taking taylor expansion of re in im 3.127 * [backup-simplify]: Simplify re into re 3.127 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.128 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (sqrt 0) into 0 3.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.129 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.129 * [taylor]: Taking taylor expansion of 2.0 in re 3.129 * [backup-simplify]: Simplify 2.0 into 2.0 3.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.130 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.130 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.130 * [taylor]: Taking taylor expansion of re in re 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (* 1 1) into 1 3.130 * [backup-simplify]: Simplify (/ 1 1) into 1 3.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.130 * [taylor]: Taking taylor expansion of im in re 3.130 * [backup-simplify]: Simplify im into im 3.130 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.130 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.131 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (sqrt 1) into 1 3.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ 0 0) into 0 3.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.132 * [taylor]: Taking taylor expansion of re in re 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.133 * [backup-simplify]: Simplify (/ 1 1) into 1 3.133 * [backup-simplify]: Simplify (- 1) into -1 3.133 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.136 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.137 * [backup-simplify]: Simplify (sqrt 0) into 0 3.137 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.138 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.138 * [taylor]: Taking taylor expansion of 2.0 in re 3.138 * [backup-simplify]: Simplify 2.0 into 2.0 3.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.138 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.139 * [taylor]: Taking taylor expansion of re in re 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (* 1 1) into 1 3.139 * [backup-simplify]: Simplify (/ 1 1) into 1 3.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.139 * [taylor]: Taking taylor expansion of im in re 3.139 * [backup-simplify]: Simplify im into im 3.139 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.139 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.140 * [backup-simplify]: Simplify (+ 1 0) into 1 3.140 * [backup-simplify]: Simplify (sqrt 1) into 1 3.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.141 * [taylor]: Taking taylor expansion of re in re 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify (/ 1 1) into 1 3.142 * [backup-simplify]: Simplify (- 1) into -1 3.142 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.147 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (- 0) into 0 3.148 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.149 * [backup-simplify]: Simplify (sqrt 0) into 0 3.149 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.150 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.150 * [taylor]: Taking taylor expansion of 0 in im 3.150 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 3.151 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.151 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.151 * [taylor]: Taking taylor expansion of +nan.0 in im 3.151 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.151 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.151 * [taylor]: Taking taylor expansion of 2.0 in im 3.151 * [backup-simplify]: Simplify 2.0 into 2.0 3.151 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.152 * [taylor]: Taking taylor expansion of im in im 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.156 * [backup-simplify]: Simplify (- 0) into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.159 * [backup-simplify]: Simplify (+ 0 0) into 0 3.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.161 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 3.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.162 * [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)))) 3.162 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.162 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.162 * [taylor]: Taking taylor expansion of +nan.0 in im 3.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.162 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.162 * [taylor]: Taking taylor expansion of 2.0 in im 3.162 * [backup-simplify]: Simplify 2.0 into 2.0 3.163 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.163 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.163 * [taylor]: Taking taylor expansion of im in im 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.163 * [backup-simplify]: Simplify (* 1 1) into 1 3.163 * [backup-simplify]: Simplify (* 1 1) into 1 3.164 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.165 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.172 * [backup-simplify]: Simplify (- 0) into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.179 * [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))))) 3.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.180 * [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)))))) 3.180 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.180 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.180 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.180 * [taylor]: Taking taylor expansion of +nan.0 in im 3.180 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.180 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.180 * [taylor]: Taking taylor expansion of 2.0 in im 3.180 * [backup-simplify]: Simplify 2.0 into 2.0 3.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.181 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.181 * [taylor]: Taking taylor expansion of im in im 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [backup-simplify]: Simplify (* 1 1) into 1 3.182 * [backup-simplify]: Simplify (* 1 1) into 1 3.182 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.182 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.182 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.182 * [taylor]: Taking taylor expansion of +nan.0 in im 3.182 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.182 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.182 * [taylor]: Taking taylor expansion of 2.0 in im 3.182 * [backup-simplify]: Simplify 2.0 into 2.0 3.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.183 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.183 * [taylor]: Taking taylor expansion of im in im 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (* 1 1) into 1 3.184 * [backup-simplify]: Simplify (* 1 1) into 1 3.184 * [backup-simplify]: Simplify (* 1 1) into 1 3.184 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 3.226 * [backup-simplify]: Simplify (- 0) into 0 3.226 * [backup-simplify]: Simplify (+ 0 0) into 0 3.227 * [backup-simplify]: Simplify (- 0) into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * * * [progress]: simplifying candidates 3.227 * * * * [progress]: [ 1 / 78 ] simplifiying candidate # 3.227 * * * * [progress]: [ 2 / 78 ] simplifiying candidate # 3.227 * * * * [progress]: [ 3 / 78 ] simplifiying candidate # 3.227 * * * * [progress]: [ 4 / 78 ] simplifiying candidate # 3.227 * * * * [progress]: [ 5 / 78 ] simplifiying candidate # 3.227 * * * * [progress]: [ 6 / 78 ] simplifiying candidate # 3.227 * * * * [progress]: [ 7 / 78 ] simplifiying candidate # 3.228 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 3.228 * * [simplify]: iters left: 6 (8 enodes) 3.230 * * [simplify]: iters left: 5 (26 enodes) 3.233 * * [simplify]: Extracting #0: cost 1 inf + 0 3.233 * * [simplify]: Extracting #1: cost 4 inf + 0 3.233 * * [simplify]: Extracting #2: cost 7 inf + 0 3.233 * * [simplify]: Extracting #3: cost 10 inf + 0 3.233 * * [simplify]: Extracting #4: cost 14 inf + 0 3.233 * * [simplify]: Extracting #5: cost 10 inf + 84 3.233 * * [simplify]: Extracting #6: cost 8 inf + 166 3.234 * * [simplify]: Extracting #7: cost 4 inf + 854 3.234 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.234 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.234 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 3.234 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 3.235 * * * * [progress]: [ 8 / 78 ] simplifiying candidate # 3.235 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.235 * * [simplify]: iters left: 6 (7 enodes) 3.236 * * [simplify]: iters left: 5 (22 enodes) 3.239 * * [simplify]: Extracting #0: cost 1 inf + 0 3.239 * * [simplify]: Extracting #1: cost 3 inf + 0 3.239 * * [simplify]: Extracting #2: cost 5 inf + 0 3.239 * * [simplify]: Extracting #3: cost 8 inf + 0 3.239 * * [simplify]: Extracting #4: cost 12 inf + 0 3.239 * * [simplify]: Extracting #5: cost 10 inf + 2 3.240 * * [simplify]: Extracting #6: cost 1 inf + 936 3.240 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.240 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.240 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 3.240 * * * * [progress]: [ 9 / 78 ] simplifiying candidate # 3.240 * [simplify]: Simplifying (sqrt 1) 3.240 * * [simplify]: iters left: 1 (2 enodes) 3.242 * * [simplify]: Extracting #0: cost 1 inf + 0 3.243 * * [simplify]: Extracting #1: cost 0 inf + 1 3.243 * [simplify]: Simplified to 1 3.243 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 3.243 * * * * [progress]: [ 10 / 78 ] simplifiying candidate # 3.243 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 3.243 * * [simplify]: iters left: 6 (9 enodes) 3.246 * * [simplify]: iters left: 5 (45 enodes) 3.258 * * [simplify]: iters left: 4 (100 enodes) 3.304 * * [simplify]: iters left: 3 (201 enodes) 3.391 * * [simplify]: iters left: 2 (406 enodes) 3.539 * * [simplify]: Extracting #0: cost 1 inf + 0 3.539 * * [simplify]: Extracting #1: cost 3 inf + 0 3.539 * * [simplify]: Extracting #2: cost 6 inf + 0 3.539 * * [simplify]: Extracting #3: cost 62 inf + 0 3.540 * * [simplify]: Extracting #4: cost 166 inf + 460 3.543 * * [simplify]: Extracting #5: cost 131 inf + 12951 3.551 * * [simplify]: Extracting #6: cost 49 inf + 45746 3.561 * * [simplify]: Extracting #7: cost 1 inf + 66256 3.571 * * [simplify]: Extracting #8: cost 0 inf + 65919 3.581 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 3.582 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (/ (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))))) 3.582 * * * * [progress]: [ 11 / 78 ] simplifiying candidate # 3.582 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.582 * * [simplify]: iters left: 6 (8 enodes) 3.586 * * [simplify]: iters left: 5 (37 enodes) 3.600 * * [simplify]: iters left: 4 (67 enodes) 3.622 * * [simplify]: iters left: 3 (123 enodes) 3.650 * * [simplify]: iters left: 2 (278 enodes) 3.804 * * [simplify]: Extracting #0: cost 1 inf + 0 3.804 * * [simplify]: Extracting #1: cost 3 inf + 0 3.805 * * [simplify]: Extracting #2: cost 50 inf + 0 3.805 * * [simplify]: Extracting #3: cost 150 inf + 0 3.806 * * [simplify]: Extracting #4: cost 194 inf + 1180 3.808 * * [simplify]: Extracting #5: cost 123 inf + 12421 3.814 * * [simplify]: Extracting #6: cost 12 inf + 33804 3.821 * * [simplify]: Extracting #7: cost 0 inf + 36129 3.833 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.834 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))) 3.834 * * * * [progress]: [ 12 / 78 ] simplifiying candidate # 3.834 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.834 * * [simplify]: iters left: 4 (5 enodes) 3.835 * * [simplify]: iters left: 3 (16 enodes) 3.837 * * [simplify]: Extracting #0: cost 1 inf + 0 3.837 * * [simplify]: Extracting #1: cost 4 inf + 0 3.837 * * [simplify]: Extracting #2: cost 8 inf + 0 3.837 * * [simplify]: Extracting #3: cost 4 inf + 84 3.841 * * [simplify]: Extracting #4: cost 0 inf + 410 3.841 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.841 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))) 3.841 * * * * [progress]: [ 13 / 78 ] simplifiying candidate # 3.841 * * * * [progress]: [ 14 / 78 ] simplifiying candidate # 3.841 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.841 * * [simplify]: iters left: 5 (6 enodes) 3.843 * * [simplify]: iters left: 4 (19 enodes) 3.845 * * [simplify]: Extracting #0: cost 1 inf + 0 3.845 * * [simplify]: Extracting #1: cost 3 inf + 0 3.845 * * [simplify]: Extracting #2: cost 6 inf + 0 3.845 * * [simplify]: Extracting #3: cost 10 inf + 0 3.845 * * [simplify]: Extracting #4: cost 6 inf + 84 3.846 * * [simplify]: Extracting #5: cost 0 inf + 734 3.846 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.846 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (fabs (sqrt (+ (* re re) (* im im)))))) re))))) 3.846 * * * * [progress]: [ 15 / 78 ] simplifiying candidate # 3.846 * * * * [progress]: [ 16 / 78 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 3.846 * * * * [progress]: [ 17 / 78 ] simplifiying candidate # 3.846 * [simplify]: Simplifying (* (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) 3.846 * * [simplify]: iters left: 6 (11 enodes) 3.848 * * [simplify]: iters left: 5 (35 enodes) 3.853 * * [simplify]: iters left: 4 (39 enodes) 3.858 * * [simplify]: Extracting #0: cost 1 inf + 0 3.858 * * [simplify]: Extracting #1: cost 5 inf + 0 3.858 * * [simplify]: Extracting #2: cost 10 inf + 0 3.858 * * [simplify]: Extracting #3: cost 12 inf + 1 3.858 * * [simplify]: Extracting #4: cost 15 inf + 72 3.858 * * [simplify]: Extracting #5: cost 16 inf + 184 3.858 * * [simplify]: Extracting #6: cost 13 inf + 267 3.859 * * [simplify]: Extracting #7: cost 9 inf + 794 3.859 * * [simplify]: Extracting #8: cost 1 inf + 2520 3.859 * * [simplify]: Extracting #9: cost 0 inf + 2752 3.860 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im))))) 3.860 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im)))))))))) 3.860 * * * * [progress]: [ 18 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 19 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 20 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 21 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 22 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 23 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 24 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 25 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 26 / 78 ] simplifiying candidate # 3.860 * * * * [progress]: [ 27 / 78 ] simplifiying candidate # 3.861 * [simplify]: Simplifying (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) 3.861 * * [simplify]: iters left: 6 (9 enodes) 3.862 * * [simplify]: iters left: 5 (27 enodes) 3.866 * * [simplify]: Extracting #0: cost 1 inf + 0 3.866 * * [simplify]: Extracting #1: cost 4 inf + 0 3.866 * * [simplify]: Extracting #2: cost 6 inf + 1 3.866 * * [simplify]: Extracting #3: cost 10 inf + 1 3.866 * * [simplify]: Extracting #4: cost 12 inf + 42 3.866 * * [simplify]: Extracting #5: cost 8 inf + 166 3.866 * * [simplify]: Extracting #6: cost 5 inf + 572 3.866 * * [simplify]: Extracting #7: cost 2 inf + 1168 3.867 * * [simplify]: Extracting #8: cost 0 inf + 1602 3.867 * [simplify]: Simplified to (+ re (sqrt (+ (* re re) (* im im)))) 3.867 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (sqrt (+ (* re re) (* im im))))))))) 3.868 * * * * [progress]: [ 28 / 78 ] simplifiying candidate #real (real->posit16 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))> 3.868 * * * * [progress]: [ 29 / 78 ] simplifiying candidate # 3.868 * * * * [progress]: [ 30 / 78 ] simplifiying candidate # 3.868 * * * * [progress]: [ 31 / 78 ] simplifiying candidate # 3.868 * [simplify]: Simplifying (exp 1/2) 3.868 * * [simplify]: iters left: 1 (2 enodes) 3.870 * * [simplify]: Extracting #0: cost 1 inf + 0 3.870 * * [simplify]: Extracting #1: cost 3 inf + 0 3.870 * * [simplify]: Extracting #2: cost 2 inf + 1 3.870 * * [simplify]: Extracting #3: cost 0 inf + 143 3.870 * [simplify]: Simplified to (exp 1/2) 3.870 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re))))) 3.870 * * * * [progress]: [ 32 / 78 ] simplifiying candidate # 3.871 * [simplify]: Simplifying (exp 1) 3.871 * * [simplify]: iters left: 1 (2 enodes) 3.872 * * [simplify]: Extracting #0: cost 1 inf + 0 3.872 * * [simplify]: Extracting #1: cost 0 inf + 1 3.872 * [simplify]: Simplified to E 3.872 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))) 3.872 * * * * [progress]: [ 33 / 78 ] simplifiying candidate # 3.873 * [simplify]: Simplifying (exp (/ 1 2)) 3.873 * * [simplify]: iters left: 3 (4 enodes) 3.877 * * [simplify]: iters left: 2 (17 enodes) 3.882 * * [simplify]: iters left: 1 (20 enodes) 3.888 * * [simplify]: Extracting #0: cost 1 inf + 0 3.889 * * [simplify]: Extracting #1: cost 4 inf + 0 3.889 * * [simplify]: Extracting #2: cost 0 inf + 84 3.889 * [simplify]: Simplified to (sqrt E) 3.889 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt E) (log (+ (* re re) (* im im)))) re))))) 3.889 * * * * [progress]: [ 34 / 78 ] simplifiying candidate # 3.889 * [simplify]: Simplifying (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 3.889 * * [simplify]: iters left: 6 (10 enodes) 3.894 * * [simplify]: iters left: 5 (33 enodes) 3.903 * * [simplify]: iters left: 4 (39 enodes) 3.913 * * [simplify]: iters left: 3 (50 enodes) 3.921 * * [simplify]: iters left: 2 (74 enodes) 3.934 * * [simplify]: iters left: 1 (127 enodes) 3.980 * * [simplify]: Extracting #0: cost 1 inf + 0 3.980 * * [simplify]: Extracting #1: cost 14 inf + 0 3.980 * * [simplify]: Extracting #2: cost 52 inf + 1 3.980 * * [simplify]: Extracting #3: cost 70 inf + 4 3.981 * * [simplify]: Extracting #4: cost 73 inf + 5 3.981 * * [simplify]: Extracting #5: cost 76 inf + 5 3.982 * * [simplify]: Extracting #6: cost 80 inf + 5 3.982 * * [simplify]: Extracting #7: cost 75 inf + 130 3.983 * * [simplify]: Extracting #8: cost 63 inf + 3306 3.987 * * [simplify]: Extracting #9: cost 31 inf + 16431 3.997 * * [simplify]: Extracting #10: cost 2 inf + 39399 4.010 * * [simplify]: Extracting #11: cost 0 inf + 41064 4.023 * [simplify]: Simplified to (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 4.023 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) re))))) 4.023 * * * * [progress]: [ 35 / 78 ] simplifiying candidate # 4.023 * [simplify]: Simplifying (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) 4.024 * * [simplify]: iters left: 6 (9 enodes) 4.027 * * [simplify]: iters left: 5 (28 enodes) 4.035 * * [simplify]: Extracting #0: cost 1 inf + 0 4.035 * * [simplify]: Extracting #1: cost 3 inf + 0 4.035 * * [simplify]: Extracting #2: cost 5 inf + 0 4.035 * * [simplify]: Extracting #3: cost 7 inf + 0 4.035 * * [simplify]: Extracting #4: cost 9 inf + 0 4.035 * * [simplify]: Extracting #5: cost 12 inf + 0 4.035 * * [simplify]: Extracting #6: cost 16 inf + 0 4.035 * * [simplify]: Extracting #7: cost 12 inf + 84 4.035 * * [simplify]: Extracting #8: cost 10 inf + 166 4.036 * * [simplify]: Extracting #9: cost 7 inf + 572 4.036 * * [simplify]: Extracting #10: cost 4 inf + 1238 4.037 * * [simplify]: Extracting #11: cost 1 inf + 2084 4.037 * * [simplify]: Extracting #12: cost 0 inf + 2426 4.038 * [simplify]: Simplified to (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) 4.038 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (sqrt (log (sqrt (+ (* re re) (* im im)))))) re))))) 4.038 * * * * [progress]: [ 36 / 78 ] simplifiying candidate # 4.038 * [simplify]: Simplifying (exp 1) 4.038 * * [simplify]: iters left: 1 (2 enodes) 4.040 * * [simplify]: Extracting #0: cost 1 inf + 0 4.040 * * [simplify]: Extracting #1: cost 0 inf + 1 4.040 * [simplify]: Simplified to E 4.040 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))) 4.040 * * * * [progress]: [ 37 / 78 ] simplifiying candidate # 4.041 * [simplify]: Simplifying (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 4.041 * * [simplify]: iters left: 6 (10 enodes) 4.045 * * [simplify]: iters left: 5 (31 enodes) 4.053 * * [simplify]: iters left: 4 (35 enodes) 4.063 * * [simplify]: Extracting #0: cost 1 inf + 0 4.063 * * [simplify]: Extracting #1: cost 4 inf + 0 4.063 * * [simplify]: Extracting #2: cost 8 inf + 0 4.063 * * [simplify]: Extracting #3: cost 11 inf + 0 4.063 * * [simplify]: Extracting #4: cost 14 inf + 0 4.063 * * [simplify]: Extracting #5: cost 18 inf + 0 4.063 * * [simplify]: Extracting #6: cost 15 inf + 43 4.063 * * [simplify]: Extracting #7: cost 13 inf + 125 4.064 * * [simplify]: Extracting #8: cost 9 inf + 572 4.064 * * [simplify]: Extracting #9: cost 2 inf + 2406 4.065 * * [simplify]: Extracting #10: cost 0 inf + 3110 4.066 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 4.066 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 4.066 * * * * [progress]: [ 38 / 78 ] simplifiying candidate # 4.067 * [simplify]: Simplifying (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 4.067 * * [simplify]: iters left: 6 (10 enodes) 4.071 * * [simplify]: iters left: 5 (30 enodes) 4.079 * * [simplify]: Extracting #0: cost 1 inf + 0 4.079 * * [simplify]: Extracting #1: cost 5 inf + 0 4.079 * * [simplify]: Extracting #2: cost 9 inf + 0 4.079 * * [simplify]: Extracting #3: cost 12 inf + 0 4.079 * * [simplify]: Extracting #4: cost 16 inf + 0 4.079 * * [simplify]: Extracting #5: cost 12 inf + 84 4.079 * * [simplify]: Extracting #6: cost 10 inf + 166 4.079 * * [simplify]: Extracting #7: cost 7 inf + 732 4.080 * * [simplify]: Extracting #8: cost 2 inf + 1852 4.081 * * [simplify]: Extracting #9: cost 0 inf + 2406 4.081 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 4.081 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 4.082 * * * * [progress]: [ 39 / 78 ] simplifiying candidate # 4.082 * [simplify]: Simplifying (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) 4.082 * * [simplify]: iters left: 6 (9 enodes) 4.086 * * [simplify]: iters left: 5 (26 enodes) 4.093 * * [simplify]: Extracting #0: cost 1 inf + 0 4.093 * * [simplify]: Extracting #1: cost 4 inf + 0 4.093 * * [simplify]: Extracting #2: cost 7 inf + 0 4.093 * * [simplify]: Extracting #3: cost 10 inf + 0 4.093 * * [simplify]: Extracting #4: cost 14 inf + 0 4.093 * * [simplify]: Extracting #5: cost 10 inf + 84 4.093 * * [simplify]: Extracting #6: cost 8 inf + 166 4.093 * * [simplify]: Extracting #7: cost 5 inf + 572 4.094 * * [simplify]: Extracting #8: cost 2 inf + 1208 4.094 * * [simplify]: Extracting #9: cost 0 inf + 1682 4.095 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.095 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 4.095 * * * * [progress]: [ 40 / 78 ] simplifiying candidate # 4.095 * [simplify]: Simplifying (exp (log (sqrt 1))) 4.096 * * [simplify]: iters left: 3 (4 enodes) 4.102 * * [simplify]: iters left: 2 (12 enodes) 4.107 * * [simplify]: iters left: 1 (14 enodes) 4.110 * * [simplify]: Extracting #0: cost 1 inf + 0 4.110 * * [simplify]: Extracting #1: cost 0 inf + 1 4.110 * [simplify]: Simplified to 1 4.110 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (exp (log (sqrt (+ (* re re) (* im im)))))) re))))) 4.110 * * * * [progress]: [ 41 / 78 ] simplifiying candidate # 4.111 * [simplify]: Simplifying (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) 4.111 * * [simplify]: iters left: 6 (9 enodes) 4.115 * * [simplify]: iters left: 5 (26 enodes) 4.121 * * [simplify]: Extracting #0: cost 1 inf + 0 4.121 * * [simplify]: Extracting #1: cost 4 inf + 0 4.122 * * [simplify]: Extracting #2: cost 7 inf + 0 4.122 * * [simplify]: Extracting #3: cost 10 inf + 0 4.122 * * [simplify]: Extracting #4: cost 14 inf + 0 4.122 * * [simplify]: Extracting #5: cost 10 inf + 84 4.122 * * [simplify]: Extracting #6: cost 8 inf + 166 4.122 * * [simplify]: Extracting #7: cost 5 inf + 572 4.122 * * [simplify]: Extracting #8: cost 2 inf + 1208 4.123 * * [simplify]: Extracting #9: cost 0 inf + 1682 4.124 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.124 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 4.124 * * * * [progress]: [ 42 / 78 ] simplifiying candidate # 4.124 * [simplify]: Simplifying (exp (log 1)) 4.124 * * [simplify]: iters left: 2 (3 enodes) 4.127 * * [simplify]: iters left: 1 (9 enodes) 4.129 * * [simplify]: Extracting #0: cost 1 inf + 0 4.129 * * [simplify]: Extracting #1: cost 0 inf + 1 4.129 * [simplify]: Simplified to 1 4.129 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (exp (log (sqrt (+ (* re re) (* im im)))))) re))))) 4.129 * * * * [progress]: [ 43 / 78 ] simplifiying candidate # 4.130 * [simplify]: Simplifying (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 4.130 * * [simplify]: iters left: 6 (11 enodes) 4.136 * * [simplify]: iters left: 5 (49 enodes) 4.153 * * [simplify]: iters left: 4 (104 enodes) 4.178 * * [simplify]: iters left: 3 (203 enodes) 4.263 * * [simplify]: iters left: 2 (402 enodes) 4.416 * * [simplify]: Extracting #0: cost 1 inf + 0 4.416 * * [simplify]: Extracting #1: cost 4 inf + 0 4.416 * * [simplify]: Extracting #2: cost 8 inf + 0 4.416 * * [simplify]: Extracting #3: cost 63 inf + 0 4.418 * * [simplify]: Extracting #4: cost 159 inf + 702 4.420 * * [simplify]: Extracting #5: cost 150 inf + 5367 4.426 * * [simplify]: Extracting #6: cost 76 inf + 30661 4.435 * * [simplify]: Extracting #7: cost 5 inf + 61831 4.451 * * [simplify]: Extracting #8: cost 0 inf + 64346 4.460 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 4.460 * [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))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 4.460 * * * * [progress]: [ 44 / 78 ] simplifiying candidate # 4.461 * [simplify]: Simplifying (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 4.461 * * [simplify]: iters left: 6 (10 enodes) 4.463 * * [simplify]: iters left: 5 (41 enodes) 4.470 * * [simplify]: iters left: 4 (71 enodes) 4.482 * * [simplify]: iters left: 3 (127 enodes) 4.509 * * [simplify]: iters left: 2 (282 enodes) 4.628 * * [simplify]: Extracting #0: cost 1 inf + 0 4.628 * * [simplify]: Extracting #1: cost 4 inf + 0 4.628 * * [simplify]: Extracting #2: cost 52 inf + 0 4.629 * * [simplify]: Extracting #3: cost 152 inf + 0 4.630 * * [simplify]: Extracting #4: cost 197 inf + 858 4.634 * * [simplify]: Extracting #5: cost 139 inf + 9708 4.647 * * [simplify]: Extracting #6: cost 14 inf + 33426 4.661 * * [simplify]: Extracting #7: cost 0 inf + 36965 4.675 * * [simplify]: Extracting #8: cost 0 inf + 36925 4.683 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.683 * [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)))) (exp (log (sqrt (- (* re re) (* im im)))))) re))))) 4.683 * * * * [progress]: [ 45 / 78 ] simplifiying candidate # 4.684 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.684 * * [simplify]: iters left: 4 (5 enodes) 4.685 * * [simplify]: iters left: 3 (16 enodes) 4.687 * * [simplify]: Extracting #0: cost 1 inf + 0 4.687 * * [simplify]: Extracting #1: cost 4 inf + 0 4.687 * * [simplify]: Extracting #2: cost 8 inf + 0 4.687 * * [simplify]: Extracting #3: cost 4 inf + 84 4.687 * * [simplify]: Extracting #4: cost 0 inf + 410 4.687 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.687 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 4.687 * * * * [progress]: [ 46 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 47 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 48 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 49 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 50 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 51 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 52 / 78 ] simplifiying candidate #real (real->posit16 (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 4.688 * * * * [progress]: [ 53 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 54 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 55 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 56 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 57 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 58 / 78 ] simplifiying candidate # 4.688 * * * * [progress]: [ 59 / 78 ] simplifiying candidate # 4.688 * [simplify]: Simplifying (sqrt 2.0) 4.688 * * [simplify]: iters left: 1 (2 enodes) 4.689 * * [simplify]: Extracting #0: cost 1 inf + 0 4.689 * * [simplify]: Extracting #1: cost 3 inf + 0 4.689 * * [simplify]: Extracting #2: cost 2 inf + 1 4.689 * * [simplify]: Extracting #3: cost 0 inf + 83 4.690 * [simplify]: Simplified to (sqrt 2.0) 4.690 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))) 4.690 * * * * [progress]: [ 60 / 78 ] simplifiying candidate # 4.690 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) 4.690 * * [simplify]: iters left: 6 (15 enodes) 4.695 * * [simplify]: iters left: 5 (64 enodes) 4.711 * * [simplify]: iters left: 4 (123 enodes) 4.736 * * [simplify]: iters left: 3 (249 enodes) 4.834 * * [simplify]: Extracting #0: cost 1 inf + 0 4.834 * * [simplify]: Extracting #1: cost 3 inf + 0 4.834 * * [simplify]: Extracting #2: cost 14 inf + 0 4.835 * * [simplify]: Extracting #3: cost 61 inf + 1 4.835 * * [simplify]: Extracting #4: cost 115 inf + 126 4.835 * * [simplify]: Extracting #5: cost 107 inf + 674 4.836 * * [simplify]: Extracting #6: cost 79 inf + 7402 4.839 * * [simplify]: Extracting #7: cost 34 inf + 20355 4.843 * * [simplify]: Extracting #8: cost 5 inf + 32100 4.848 * * [simplify]: Extracting #9: cost 0 inf + 35174 4.854 * [simplify]: Simplified to (sqrt (* (+ (* (* re re) re) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))) 2.0)) 4.854 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (+ (* (* re re) re) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))) 2.0)) (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))))))) 4.854 * * * * [progress]: [ 61 / 78 ] simplifiying candidate # 4.854 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) 4.854 * * [simplify]: iters left: 6 (13 enodes) 4.858 * * [simplify]: iters left: 5 (46 enodes) 4.866 * * [simplify]: iters left: 4 (71 enodes) 4.882 * * [simplify]: iters left: 3 (151 enodes) 4.931 * * [simplify]: iters left: 2 (380 enodes) 5.110 * * [simplify]: Extracting #0: cost 1 inf + 0 5.110 * * [simplify]: Extracting #1: cost 3 inf + 0 5.110 * * [simplify]: Extracting #2: cost 67 inf + 0 5.111 * * [simplify]: Extracting #3: cost 131 inf + 45 5.111 * * [simplify]: Extracting #4: cost 141 inf + 1478 5.113 * * [simplify]: Extracting #5: cost 111 inf + 5262 5.117 * * [simplify]: Extracting #6: cost 39 inf + 24209 5.127 * * [simplify]: Extracting #7: cost 3 inf + 34263 5.143 * * [simplify]: Extracting #8: cost 0 inf + 35149 5.159 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 5.160 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) 5.160 * * * * [progress]: [ 62 / 78 ] simplifiying candidate # 5.160 * [simplify]: Simplifying (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) 5.160 * * [simplify]: iters left: 6 (11 enodes) 5.166 * * [simplify]: iters left: 5 (40 enodes) 5.178 * * [simplify]: iters left: 4 (50 enodes) 5.189 * * [simplify]: Extracting #0: cost 1 inf + 0 5.189 * * [simplify]: Extracting #1: cost 6 inf + 0 5.189 * * [simplify]: Extracting #2: cost 10 inf + 1 5.190 * * [simplify]: Extracting #3: cost 11 inf + 44 5.190 * * [simplify]: Extracting #4: cost 14 inf + 86 5.190 * * [simplify]: Extracting #5: cost 16 inf + 127 5.190 * * [simplify]: Extracting #6: cost 14 inf + 169 5.190 * * [simplify]: Extracting #7: cost 11 inf + 373 5.191 * * [simplify]: Extracting #8: cost 5 inf + 1456 5.192 * * [simplify]: Extracting #9: cost 1 inf + 2336 5.193 * * [simplify]: Extracting #10: cost 0 inf + 2579 5.194 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.194 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 5.194 * * * * [progress]: [ 63 / 78 ] simplifiying candidate # 5.194 * [simplify]: Simplifying (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) 5.194 * * [simplify]: iters left: 6 (11 enodes) 5.199 * * [simplify]: iters left: 5 (40 enodes) 5.215 * * [simplify]: iters left: 4 (50 enodes) 5.227 * * [simplify]: Extracting #0: cost 1 inf + 0 5.227 * * [simplify]: Extracting #1: cost 6 inf + 0 5.227 * * [simplify]: Extracting #2: cost 10 inf + 1 5.227 * * [simplify]: Extracting #3: cost 11 inf + 44 5.227 * * [simplify]: Extracting #4: cost 14 inf + 86 5.227 * * [simplify]: Extracting #5: cost 16 inf + 127 5.227 * * [simplify]: Extracting #6: cost 14 inf + 169 5.227 * * [simplify]: Extracting #7: cost 11 inf + 373 5.227 * * [simplify]: Extracting #8: cost 5 inf + 1456 5.228 * * [simplify]: Extracting #9: cost 1 inf + 2336 5.228 * * [simplify]: Extracting #10: cost 0 inf + 2579 5.229 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 5.229 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 5.229 * * * * [progress]: [ 64 / 78 ] simplifiying candidate # 5.229 * * * * [progress]: [ 65 / 78 ] simplifiying candidate # 5.229 * * * * [progress]: [ 66 / 78 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))> 5.229 * * * * [progress]: [ 67 / 78 ] simplifiying candidate # 5.229 * [simplify]: Simplifying im 5.229 * * [simplify]: iters left: 0 (1 enodes) 5.230 * * [simplify]: Extracting #0: cost 1 inf + 0 5.230 * * [simplify]: Extracting #1: cost 0 inf + 1 5.230 * [simplify]: Simplified to im 5.230 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log im)) re))))) 5.230 * * * * [progress]: [ 68 / 78 ] simplifiying candidate # 5.230 * [simplify]: Simplifying re 5.230 * * [simplify]: iters left: 0 (1 enodes) 5.230 * * [simplify]: Extracting #0: cost 1 inf + 0 5.230 * * [simplify]: Extracting #1: cost 0 inf + 1 5.230 * [simplify]: Simplified to re 5.230 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re))))) 5.230 * * * * [progress]: [ 69 / 78 ] simplifiying candidate # 5.231 * [simplify]: Simplifying (* -1 re) 5.231 * * [simplify]: iters left: 2 (3 enodes) 5.232 * * [simplify]: iters left: 1 (11 enodes) 5.233 * * [simplify]: Extracting #0: cost 1 inf + 0 5.233 * * [simplify]: Extracting #1: cost 4 inf + 0 5.233 * * [simplify]: Extracting #2: cost 0 inf + 84 5.233 * [simplify]: Simplified to (- re) 5.233 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re))))) 5.234 * * * * [progress]: [ 70 / 78 ] simplifiying candidate # 5.234 * [simplify]: Simplifying (+ re im) 5.234 * * [simplify]: iters left: 2 (3 enodes) 5.234 * * [simplify]: iters left: 1 (10 enodes) 5.236 * * [simplify]: Extracting #0: cost 1 inf + 0 5.236 * * [simplify]: Extracting #1: cost 4 inf + 0 5.236 * * [simplify]: Extracting #2: cost 2 inf + 2 5.236 * * [simplify]: Extracting #3: cost 0 inf + 86 5.236 * [simplify]: Simplified to (+ im re) 5.236 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 5.236 * * * * [progress]: [ 71 / 78 ] simplifiying candidate # 5.236 * [simplify]: Simplifying (* 2 re) 5.236 * * [simplify]: iters left: 2 (3 enodes) 5.237 * * [simplify]: iters left: 1 (10 enodes) 5.238 * * [simplify]: Extracting #0: cost 1 inf + 0 5.239 * * [simplify]: Extracting #1: cost 4 inf + 0 5.239 * * [simplify]: Extracting #2: cost 2 inf + 2 5.239 * * [simplify]: Extracting #3: cost 0 inf + 86 5.239 * [simplify]: Simplified to (* 2 re) 5.239 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 5.239 * * * * [progress]: [ 72 / 78 ] simplifiying candidate # 5.239 * [simplify]: Simplifying 0 5.239 * * [simplify]: iters left: 0 (1 enodes) 5.239 * * [simplify]: Extracting #0: cost 1 inf + 0 5.239 * * [simplify]: Extracting #1: cost 0 inf + 1 5.239 * [simplify]: Simplified to 0 5.240 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 5.240 * * * * [progress]: [ 73 / 78 ] simplifiying candidate # 5.240 * [simplify]: Simplifying im 5.240 * * [simplify]: iters left: 0 (1 enodes) 5.240 * * [simplify]: Extracting #0: cost 1 inf + 0 5.240 * * [simplify]: Extracting #1: cost 0 inf + 1 5.240 * [simplify]: Simplified to im 5.240 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 5.240 * * * * [progress]: [ 74 / 78 ] simplifiying candidate # 5.240 * [simplify]: Simplifying re 5.240 * * [simplify]: iters left: 0 (1 enodes) 5.240 * * [simplify]: Extracting #0: cost 1 inf + 0 5.241 * * [simplify]: Extracting #1: cost 0 inf + 1 5.241 * [simplify]: Simplified to re 5.241 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 5.241 * * * * [progress]: [ 75 / 78 ] simplifiying candidate # 5.241 * [simplify]: Simplifying (* -1 re) 5.241 * * [simplify]: iters left: 2 (3 enodes) 5.242 * * [simplify]: iters left: 1 (11 enodes) 5.243 * * [simplify]: Extracting #0: cost 1 inf + 0 5.243 * * [simplify]: Extracting #1: cost 4 inf + 0 5.243 * * [simplify]: Extracting #2: cost 0 inf + 84 5.243 * [simplify]: Simplified to (- re) 5.243 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 5.243 * * * * [progress]: [ 76 / 78 ] simplifiying candidate # 5.244 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 5.244 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 5.244 * * * * [progress]: [ 77 / 78 ] simplifiying candidate # 5.244 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 5.244 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 5.244 * * * * [progress]: [ 78 / 78 ] simplifiying candidate # 5.244 * [simplify]: Simplifying 0 5.244 * * [simplify]: iters left: 0 (1 enodes) 5.245 * * [simplify]: Extracting #0: cost 1 inf + 0 5.245 * * [simplify]: Extracting #1: cost 0 inf + 1 5.245 * [simplify]: Simplified to 0 5.245 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 5.245 * * * [progress]: adding candidates to table 6.242 * * [progress]: iteration 3 / 4 6.242 * * * [progress]: picking best candidate 6.289 * * * * [pick]: Picked # 6.289 * * * [progress]: localizing error 6.340 * * * [progress]: generating rewritten candidates 6.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 6.353 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 6.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1) 6.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.520 * * * [progress]: generating series expansions 6.520 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 6.520 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.520 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.520 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.520 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.520 * [taylor]: Taking taylor expansion of im in im 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.520 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.520 * [taylor]: Taking taylor expansion of re in im 6.520 * [backup-simplify]: Simplify re into re 6.520 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.520 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.520 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.520 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.521 * [backup-simplify]: Simplify (+ 0 0) into 0 6.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.521 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.521 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.521 * [taylor]: Taking taylor expansion of im in re 6.521 * [backup-simplify]: Simplify im into im 6.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.521 * [taylor]: Taking taylor expansion of re in re 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.521 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.521 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.521 * [backup-simplify]: Simplify (+ 0 0) into 0 6.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.522 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.522 * [taylor]: Taking taylor expansion of im in re 6.522 * [backup-simplify]: Simplify im into im 6.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.522 * [taylor]: Taking taylor expansion of re in re 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.522 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.522 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.522 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.522 * [backup-simplify]: Simplify (+ 0 0) into 0 6.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.522 * [taylor]: Taking taylor expansion of im in im 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [taylor]: Taking taylor expansion of 0 in im 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.523 * [backup-simplify]: Simplify (* 1 1) into 1 6.523 * [backup-simplify]: Simplify (+ 0 1) into 1 6.524 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.524 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.524 * [taylor]: Taking taylor expansion of 1/2 in im 6.524 * [backup-simplify]: Simplify 1/2 into 1/2 6.524 * [taylor]: Taking taylor expansion of im in im 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.526 * [taylor]: Taking taylor expansion of 0 in im 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.527 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.527 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.527 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.527 * [taylor]: Taking taylor expansion of re in im 6.527 * [backup-simplify]: Simplify re into re 6.527 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.528 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.528 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.528 * [taylor]: Taking taylor expansion of im in im 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (* 1 1) into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [backup-simplify]: Simplify (+ 0 1) into 1 6.529 * [backup-simplify]: Simplify (sqrt 1) into 1 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.530 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.530 * [taylor]: Taking taylor expansion of re in re 6.530 * [backup-simplify]: Simplify 0 into 0 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [backup-simplify]: Simplify (* 1 1) into 1 6.531 * [backup-simplify]: Simplify (/ 1 1) into 1 6.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.531 * [taylor]: Taking taylor expansion of im in re 6.531 * [backup-simplify]: Simplify im into im 6.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.532 * [backup-simplify]: Simplify (+ 1 0) into 1 6.532 * [backup-simplify]: Simplify (sqrt 1) into 1 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.535 * [taylor]: Taking taylor expansion of re in re 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (* 1 1) into 1 6.535 * [backup-simplify]: Simplify (/ 1 1) into 1 6.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.535 * [taylor]: Taking taylor expansion of im in re 6.535 * [backup-simplify]: Simplify im into im 6.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.536 * [backup-simplify]: Simplify (+ 1 0) into 1 6.536 * [backup-simplify]: Simplify (sqrt 1) into 1 6.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.538 * [backup-simplify]: Simplify (+ 0 0) into 0 6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.539 * [taylor]: Taking taylor expansion of 1 in im 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [taylor]: Taking taylor expansion of 0 in im 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.542 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.542 * [taylor]: Taking taylor expansion of 1/2 in im 6.542 * [backup-simplify]: Simplify 1/2 into 1/2 6.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.542 * [taylor]: Taking taylor expansion of im in im 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify 1 into 1 6.543 * [backup-simplify]: Simplify (* 1 1) into 1 6.543 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.548 * [backup-simplify]: Simplify (+ 0 0) into 0 6.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.548 * [taylor]: Taking taylor expansion of 0 in im 6.548 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.551 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.551 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.551 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.551 * [taylor]: Taking taylor expansion of re in im 6.551 * [backup-simplify]: Simplify re into re 6.551 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.551 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.551 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.551 * [taylor]: Taking taylor expansion of im in im 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (* 1 1) into 1 6.552 * [backup-simplify]: Simplify (/ 1 1) into 1 6.552 * [backup-simplify]: Simplify (+ 0 1) into 1 6.553 * [backup-simplify]: Simplify (sqrt 1) into 1 6.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.555 * [backup-simplify]: Simplify (+ 0 0) into 0 6.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.555 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.555 * [taylor]: Taking taylor expansion of re in re 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [backup-simplify]: Simplify (* 1 1) into 1 6.556 * [backup-simplify]: Simplify (/ 1 1) into 1 6.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.556 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.556 * [taylor]: Taking taylor expansion of im in re 6.556 * [backup-simplify]: Simplify im into im 6.556 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.557 * [backup-simplify]: Simplify (+ 1 0) into 1 6.557 * [backup-simplify]: Simplify (sqrt 1) into 1 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (+ 0 0) into 0 6.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.560 * [taylor]: Taking taylor expansion of re in re 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify 1 into 1 6.560 * [backup-simplify]: Simplify (* 1 1) into 1 6.561 * [backup-simplify]: Simplify (/ 1 1) into 1 6.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.561 * [taylor]: Taking taylor expansion of im in re 6.561 * [backup-simplify]: Simplify im into im 6.561 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.561 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.562 * [backup-simplify]: Simplify (+ 1 0) into 1 6.562 * [backup-simplify]: Simplify (sqrt 1) into 1 6.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.564 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.565 * [taylor]: Taking taylor expansion of 1 in im 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [taylor]: Taking taylor expansion of 0 in im 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.567 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.568 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.568 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.568 * [taylor]: Taking taylor expansion of 1/2 in im 6.568 * [backup-simplify]: Simplify 1/2 into 1/2 6.568 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.568 * [taylor]: Taking taylor expansion of im in im 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 1 into 1 6.568 * [backup-simplify]: Simplify (* 1 1) into 1 6.569 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.573 * [backup-simplify]: Simplify (+ 0 0) into 0 6.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.574 * [taylor]: Taking taylor expansion of 0 in im 6.574 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.576 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 6.577 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.577 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.577 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.577 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.577 * [taylor]: Taking taylor expansion of im in im 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.577 * [taylor]: Taking taylor expansion of re in im 6.577 * [backup-simplify]: Simplify re into re 6.577 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.577 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.577 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.577 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.578 * [backup-simplify]: Simplify (+ 0 0) into 0 6.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.578 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.578 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.578 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.578 * [taylor]: Taking taylor expansion of im in re 6.578 * [backup-simplify]: Simplify im into im 6.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.578 * [taylor]: Taking taylor expansion of re in re 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.578 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.578 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.579 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.579 * [backup-simplify]: Simplify (+ 0 0) into 0 6.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.579 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.579 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.579 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.579 * [taylor]: Taking taylor expansion of im in re 6.579 * [backup-simplify]: Simplify im into im 6.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.579 * [taylor]: Taking taylor expansion of re in re 6.579 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify 1 into 1 6.579 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.579 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.579 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.580 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.580 * [taylor]: Taking taylor expansion of im in im 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [taylor]: Taking taylor expansion of 0 in im 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.581 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.581 * [backup-simplify]: Simplify (* 1 1) into 1 6.582 * [backup-simplify]: Simplify (+ 0 1) into 1 6.582 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.582 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.582 * [taylor]: Taking taylor expansion of 1/2 in im 6.582 * [backup-simplify]: Simplify 1/2 into 1/2 6.583 * [taylor]: Taking taylor expansion of im in im 6.583 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.590 * [backup-simplify]: Simplify (+ 0 0) into 0 6.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.590 * [taylor]: Taking taylor expansion of 0 in im 6.590 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.591 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.591 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.591 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.591 * [taylor]: Taking taylor expansion of re in im 6.591 * [backup-simplify]: Simplify re into re 6.591 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.592 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.592 * [taylor]: Taking taylor expansion of im in im 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify 1 into 1 6.592 * [backup-simplify]: Simplify (* 1 1) into 1 6.592 * [backup-simplify]: Simplify (/ 1 1) into 1 6.593 * [backup-simplify]: Simplify (+ 0 1) into 1 6.593 * [backup-simplify]: Simplify (sqrt 1) into 1 6.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.595 * [backup-simplify]: Simplify (+ 0 0) into 0 6.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.596 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.596 * [taylor]: Taking taylor expansion of re in re 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [backup-simplify]: Simplify (* 1 1) into 1 6.597 * [backup-simplify]: Simplify (/ 1 1) into 1 6.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.597 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.597 * [taylor]: Taking taylor expansion of im in re 6.597 * [backup-simplify]: Simplify im into im 6.597 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.597 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.597 * [backup-simplify]: Simplify (+ 1 0) into 1 6.598 * [backup-simplify]: Simplify (sqrt 1) into 1 6.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.599 * [backup-simplify]: Simplify (+ 0 0) into 0 6.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.600 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.600 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.600 * [taylor]: Taking taylor expansion of re in re 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 1 into 1 6.601 * [backup-simplify]: Simplify (* 1 1) into 1 6.601 * [backup-simplify]: Simplify (/ 1 1) into 1 6.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.601 * [taylor]: Taking taylor expansion of im in re 6.601 * [backup-simplify]: Simplify im into im 6.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.602 * [backup-simplify]: Simplify (+ 1 0) into 1 6.602 * [backup-simplify]: Simplify (sqrt 1) into 1 6.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.604 * [backup-simplify]: Simplify (+ 0 0) into 0 6.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.605 * [taylor]: Taking taylor expansion of 1 in im 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [taylor]: Taking taylor expansion of 0 in im 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.607 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.608 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.608 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.608 * [taylor]: Taking taylor expansion of 1/2 in im 6.608 * [backup-simplify]: Simplify 1/2 into 1/2 6.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.608 * [taylor]: Taking taylor expansion of im in im 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.608 * [backup-simplify]: Simplify (* 1 1) into 1 6.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.613 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.613 * [taylor]: Taking taylor expansion of 0 in im 6.613 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.616 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.616 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.616 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.616 * [taylor]: Taking taylor expansion of re in im 6.616 * [backup-simplify]: Simplify re into re 6.616 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.616 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.616 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.616 * [taylor]: Taking taylor expansion of im in im 6.616 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify 1 into 1 6.617 * [backup-simplify]: Simplify (* 1 1) into 1 6.617 * [backup-simplify]: Simplify (/ 1 1) into 1 6.618 * [backup-simplify]: Simplify (+ 0 1) into 1 6.618 * [backup-simplify]: Simplify (sqrt 1) into 1 6.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.620 * [backup-simplify]: Simplify (+ 0 0) into 0 6.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.621 * [taylor]: Taking taylor expansion of re in re 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify (* 1 1) into 1 6.622 * [backup-simplify]: Simplify (/ 1 1) into 1 6.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.622 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.622 * [taylor]: Taking taylor expansion of im in re 6.622 * [backup-simplify]: Simplify im into im 6.622 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.622 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.622 * [backup-simplify]: Simplify (+ 1 0) into 1 6.623 * [backup-simplify]: Simplify (sqrt 1) into 1 6.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.624 * [backup-simplify]: Simplify (+ 0 0) into 0 6.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.625 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.625 * [taylor]: Taking taylor expansion of re in re 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 1 into 1 6.626 * [backup-simplify]: Simplify (* 1 1) into 1 6.626 * [backup-simplify]: Simplify (/ 1 1) into 1 6.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.626 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.626 * [taylor]: Taking taylor expansion of im in re 6.626 * [backup-simplify]: Simplify im into im 6.626 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.626 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.627 * [backup-simplify]: Simplify (+ 1 0) into 1 6.627 * [backup-simplify]: Simplify (sqrt 1) into 1 6.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.629 * [backup-simplify]: Simplify (+ 0 0) into 0 6.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.629 * [taylor]: Taking taylor expansion of 1 in im 6.629 * [backup-simplify]: Simplify 1 into 1 6.630 * [taylor]: Taking taylor expansion of 0 in im 6.630 * [backup-simplify]: Simplify 0 into 0 6.630 * [backup-simplify]: Simplify 1 into 1 6.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.633 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.633 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.633 * [taylor]: Taking taylor expansion of 1/2 in im 6.633 * [backup-simplify]: Simplify 1/2 into 1/2 6.633 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.633 * [taylor]: Taking taylor expansion of im in im 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 1 into 1 6.633 * [backup-simplify]: Simplify (* 1 1) into 1 6.634 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.637 * [backup-simplify]: Simplify (+ 0 0) into 0 6.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.637 * [taylor]: Taking taylor expansion of 0 in im 6.637 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.639 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1) 6.639 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.639 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.639 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.639 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.639 * [taylor]: Taking taylor expansion of im in im 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 1 into 1 6.639 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.639 * [taylor]: Taking taylor expansion of re in im 6.639 * [backup-simplify]: Simplify re into re 6.639 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.639 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.639 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.639 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.640 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.640 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.640 * [taylor]: Taking taylor expansion of im in re 6.640 * [backup-simplify]: Simplify im into im 6.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.640 * [taylor]: Taking taylor expansion of re in re 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.640 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.640 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.640 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.640 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.640 * [taylor]: Taking taylor expansion of im in re 6.641 * [backup-simplify]: Simplify im into im 6.641 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.641 * [taylor]: Taking taylor expansion of re in re 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.641 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.641 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.641 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.641 * [taylor]: Taking taylor expansion of im in im 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [taylor]: Taking taylor expansion of 0 in im 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 1 into 1 6.642 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.642 * [backup-simplify]: Simplify (* 1 1) into 1 6.642 * [backup-simplify]: Simplify (+ 0 1) into 1 6.643 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.643 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.643 * [taylor]: Taking taylor expansion of 1/2 in im 6.643 * [backup-simplify]: Simplify 1/2 into 1/2 6.643 * [taylor]: Taking taylor expansion of im in im 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify 1 into 1 6.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.645 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.645 * [taylor]: Taking taylor expansion of 0 in im 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.646 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.646 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.646 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.646 * [taylor]: Taking taylor expansion of re in im 6.646 * [backup-simplify]: Simplify re into re 6.646 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.646 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.646 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.646 * [taylor]: Taking taylor expansion of im in im 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 1 into 1 6.646 * [backup-simplify]: Simplify (* 1 1) into 1 6.647 * [backup-simplify]: Simplify (/ 1 1) into 1 6.647 * [backup-simplify]: Simplify (+ 0 1) into 1 6.647 * [backup-simplify]: Simplify (sqrt 1) into 1 6.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (+ 0 0) into 0 6.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.649 * [taylor]: Taking taylor expansion of re in re 6.649 * [backup-simplify]: Simplify 0 into 0 6.649 * [backup-simplify]: Simplify 1 into 1 6.649 * [backup-simplify]: Simplify (* 1 1) into 1 6.649 * [backup-simplify]: Simplify (/ 1 1) into 1 6.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.649 * [taylor]: Taking taylor expansion of im in re 6.649 * [backup-simplify]: Simplify im into im 6.650 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.650 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.650 * [backup-simplify]: Simplify (+ 1 0) into 1 6.650 * [backup-simplify]: Simplify (sqrt 1) into 1 6.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.651 * [backup-simplify]: Simplify (+ 0 0) into 0 6.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.652 * [taylor]: Taking taylor expansion of re in re 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.652 * [backup-simplify]: Simplify (* 1 1) into 1 6.652 * [backup-simplify]: Simplify (/ 1 1) into 1 6.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.652 * [taylor]: Taking taylor expansion of im in re 6.652 * [backup-simplify]: Simplify im into im 6.652 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.653 * [backup-simplify]: Simplify (+ 1 0) into 1 6.653 * [backup-simplify]: Simplify (sqrt 1) into 1 6.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.654 * [backup-simplify]: Simplify (+ 0 0) into 0 6.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.654 * [taylor]: Taking taylor expansion of 1 in im 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [taylor]: Taking taylor expansion of 0 in im 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.656 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.657 * [taylor]: Taking taylor expansion of 1/2 in im 6.657 * [backup-simplify]: Simplify 1/2 into 1/2 6.657 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.657 * [taylor]: Taking taylor expansion of im in im 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (* 1 1) into 1 6.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.658 * [backup-simplify]: Simplify 0 into 0 6.658 * [backup-simplify]: Simplify 0 into 0 6.658 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.660 * [backup-simplify]: Simplify (+ 0 0) into 0 6.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.660 * [taylor]: Taking taylor expansion of 0 in im 6.660 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.662 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.662 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.662 * [taylor]: Taking taylor expansion of re in im 6.662 * [backup-simplify]: Simplify re into re 6.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.662 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.662 * [taylor]: Taking taylor expansion of im in im 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify (* 1 1) into 1 6.662 * [backup-simplify]: Simplify (/ 1 1) into 1 6.663 * [backup-simplify]: Simplify (+ 0 1) into 1 6.663 * [backup-simplify]: Simplify (sqrt 1) into 1 6.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.664 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.665 * [taylor]: Taking taylor expansion of re in re 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 1 into 1 6.665 * [backup-simplify]: Simplify (* 1 1) into 1 6.665 * [backup-simplify]: Simplify (/ 1 1) into 1 6.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.665 * [taylor]: Taking taylor expansion of im in re 6.665 * [backup-simplify]: Simplify im into im 6.665 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.665 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.665 * [backup-simplify]: Simplify (+ 1 0) into 1 6.666 * [backup-simplify]: Simplify (sqrt 1) into 1 6.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify (+ 0 0) into 0 6.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.667 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.667 * [taylor]: Taking taylor expansion of re in re 6.667 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify (* 1 1) into 1 6.668 * [backup-simplify]: Simplify (/ 1 1) into 1 6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.668 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.668 * [taylor]: Taking taylor expansion of im in re 6.668 * [backup-simplify]: Simplify im into im 6.668 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.668 * [backup-simplify]: Simplify (+ 1 0) into 1 6.669 * [backup-simplify]: Simplify (sqrt 1) into 1 6.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.670 * [taylor]: Taking taylor expansion of 1 in im 6.670 * [backup-simplify]: Simplify 1 into 1 6.670 * [taylor]: Taking taylor expansion of 0 in im 6.670 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify 1 into 1 6.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.672 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.672 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.672 * [taylor]: Taking taylor expansion of 1/2 in im 6.672 * [backup-simplify]: Simplify 1/2 into 1/2 6.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.672 * [taylor]: Taking taylor expansion of im in im 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (* 1 1) into 1 6.673 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.676 * [backup-simplify]: Simplify (+ 0 0) into 0 6.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.676 * [taylor]: Taking taylor expansion of 0 in im 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.677 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 6.678 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 6.678 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 6.678 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 6.678 * [taylor]: Taking taylor expansion of re in im 6.678 * [backup-simplify]: Simplify re into re 6.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.678 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.678 * [taylor]: Taking taylor expansion of im in im 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.678 * [taylor]: Taking taylor expansion of re in im 6.678 * [backup-simplify]: Simplify re into re 6.678 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.678 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.678 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.678 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.678 * [backup-simplify]: Simplify (+ 0 0) into 0 6.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.679 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 6.679 * [taylor]: Taking taylor expansion of re in re 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.679 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.679 * [taylor]: Taking taylor expansion of im in re 6.679 * [backup-simplify]: Simplify im into im 6.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.679 * [taylor]: Taking taylor expansion of re in re 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.679 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.679 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.679 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 6.679 * [taylor]: Taking taylor expansion of re in re 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.679 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.679 * [taylor]: Taking taylor expansion of im in re 6.679 * [backup-simplify]: Simplify im into im 6.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.679 * [taylor]: Taking taylor expansion of re in re 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.680 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.680 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.680 * [backup-simplify]: Simplify (+ 0 0) into 0 6.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.680 * [backup-simplify]: Simplify (+ 0 im) into im 6.680 * [taylor]: Taking taylor expansion of im in im 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify (+ 1 0) into 1 6.680 * [taylor]: Taking taylor expansion of 1 in im 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.681 * [backup-simplify]: Simplify (* 1 1) into 1 6.681 * [backup-simplify]: Simplify (+ 0 1) into 1 6.682 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.682 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 6.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.682 * [taylor]: Taking taylor expansion of 1/2 in im 6.682 * [backup-simplify]: Simplify 1/2 into 1/2 6.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.682 * [taylor]: Taking taylor expansion of im in im 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (/ 1 1) into 1 6.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.684 * [backup-simplify]: Simplify (+ 0 0) into 0 6.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.685 * [backup-simplify]: Simplify (+ 0 0) into 0 6.685 * [taylor]: Taking taylor expansion of 0 in im 6.685 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 6.687 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 6.687 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 6.687 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.687 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.687 * [taylor]: Taking taylor expansion of re in im 6.687 * [backup-simplify]: Simplify re into re 6.687 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.687 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.687 * [taylor]: Taking taylor expansion of re in im 6.687 * [backup-simplify]: Simplify re into re 6.687 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.687 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.687 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.687 * [taylor]: Taking taylor expansion of im in im 6.687 * [backup-simplify]: Simplify 0 into 0 6.687 * [backup-simplify]: Simplify 1 into 1 6.688 * [backup-simplify]: Simplify (* 1 1) into 1 6.688 * [backup-simplify]: Simplify (/ 1 1) into 1 6.688 * [backup-simplify]: Simplify (+ 0 1) into 1 6.688 * [backup-simplify]: Simplify (sqrt 1) into 1 6.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.689 * [backup-simplify]: Simplify (+ 0 0) into 0 6.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.690 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.690 * [taylor]: Taking taylor expansion of re in re 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (/ 1 1) into 1 6.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.690 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.690 * [taylor]: Taking taylor expansion of re in re 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.691 * [backup-simplify]: Simplify (* 1 1) into 1 6.691 * [backup-simplify]: Simplify (/ 1 1) into 1 6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.691 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.691 * [taylor]: Taking taylor expansion of im in re 6.691 * [backup-simplify]: Simplify im into im 6.691 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.691 * [backup-simplify]: Simplify (+ 1 0) into 1 6.692 * [backup-simplify]: Simplify (sqrt 1) into 1 6.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.693 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.693 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.693 * [taylor]: Taking taylor expansion of re in re 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.694 * [backup-simplify]: Simplify (/ 1 1) into 1 6.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.694 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.694 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.694 * [taylor]: Taking taylor expansion of re in re 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 1 into 1 6.694 * [backup-simplify]: Simplify (* 1 1) into 1 6.694 * [backup-simplify]: Simplify (/ 1 1) into 1 6.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.694 * [taylor]: Taking taylor expansion of im in re 6.694 * [backup-simplify]: Simplify im into im 6.694 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.694 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.695 * [backup-simplify]: Simplify (+ 1 0) into 1 6.695 * [backup-simplify]: Simplify (sqrt 1) into 1 6.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.700 * [backup-simplify]: Simplify (+ 0 0) into 0 6.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.701 * [backup-simplify]: Simplify (+ 1 1) into 2 6.701 * [taylor]: Taking taylor expansion of 2 in im 6.701 * [backup-simplify]: Simplify 2 into 2 6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.702 * [taylor]: Taking taylor expansion of 0 in im 6.702 * [backup-simplify]: Simplify 0 into 0 6.702 * [backup-simplify]: Simplify 2 into 2 6.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.704 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.704 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.704 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.704 * [taylor]: Taking taylor expansion of 1/2 in im 6.704 * [backup-simplify]: Simplify 1/2 into 1/2 6.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.704 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.705 * [taylor]: Taking taylor expansion of im in im 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 1 into 1 6.705 * [backup-simplify]: Simplify (* 1 1) into 1 6.705 * [backup-simplify]: Simplify (/ 1 1) into 1 6.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.709 * [taylor]: Taking taylor expansion of 0 in im 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 6.712 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 6.712 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 6.712 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 6.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.712 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.712 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.712 * [taylor]: Taking taylor expansion of re in im 6.712 * [backup-simplify]: Simplify re into re 6.712 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.712 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.712 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.712 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.712 * [taylor]: Taking taylor expansion of im in im 6.712 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (* 1 1) into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.713 * [backup-simplify]: Simplify (+ 0 1) into 1 6.713 * [backup-simplify]: Simplify (sqrt 1) into 1 6.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.714 * [backup-simplify]: Simplify (+ 0 0) into 0 6.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.715 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.715 * [taylor]: Taking taylor expansion of re in im 6.715 * [backup-simplify]: Simplify re into re 6.715 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.715 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.715 * [taylor]: Taking taylor expansion of re in re 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (* 1 1) into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.716 * [taylor]: Taking taylor expansion of im in re 6.716 * [backup-simplify]: Simplify im into im 6.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.716 * [backup-simplify]: Simplify (+ 1 0) into 1 6.716 * [backup-simplify]: Simplify (sqrt 1) into 1 6.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (+ 0 0) into 0 6.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.718 * [taylor]: Taking taylor expansion of re in re 6.718 * [backup-simplify]: Simplify 0 into 0 6.718 * [backup-simplify]: Simplify 1 into 1 6.718 * [backup-simplify]: Simplify (/ 1 1) into 1 6.718 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.718 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.718 * [taylor]: Taking taylor expansion of re in re 6.718 * [backup-simplify]: Simplify 0 into 0 6.718 * [backup-simplify]: Simplify 1 into 1 6.718 * [backup-simplify]: Simplify (* 1 1) into 1 6.719 * [backup-simplify]: Simplify (/ 1 1) into 1 6.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.719 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.719 * [taylor]: Taking taylor expansion of im in re 6.719 * [backup-simplify]: Simplify im into im 6.719 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.719 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.719 * [backup-simplify]: Simplify (+ 1 0) into 1 6.719 * [backup-simplify]: Simplify (sqrt 1) into 1 6.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify (+ 0 0) into 0 6.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.721 * [taylor]: Taking taylor expansion of re in re 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 1 into 1 6.721 * [backup-simplify]: Simplify (/ 1 1) into 1 6.721 * [backup-simplify]: Simplify (- 1) into -1 6.722 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.722 * [taylor]: Taking taylor expansion of 0 in im 6.722 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (- 0) into 0 6.723 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [taylor]: Taking taylor expansion of 0 in im 6.723 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.724 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.725 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.726 * [backup-simplify]: Simplify (- 0) into 0 6.726 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.726 * [taylor]: Taking taylor expansion of 1/2 in im 6.726 * [backup-simplify]: Simplify 1/2 into 1/2 6.726 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.726 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.726 * [taylor]: Taking taylor expansion of im in im 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (* 1 1) into 1 6.726 * [backup-simplify]: Simplify (/ 1 1) into 1 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.729 * [backup-simplify]: Simplify (+ 0 0) into 0 6.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.730 * [backup-simplify]: Simplify (- 0) into 0 6.731 * [backup-simplify]: Simplify (+ 0 0) into 0 6.731 * [taylor]: Taking taylor expansion of 0 in im 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.732 * * * [progress]: simplifying candidates 6.732 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 6.733 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 6.733 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 6.733 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 6.733 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 6.733 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 6.733 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 6.733 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 6.733 * * [simplify]: iters left: 6 (8 enodes) 6.735 * * [simplify]: iters left: 5 (26 enodes) 6.738 * * [simplify]: Extracting #0: cost 1 inf + 0 6.738 * * [simplify]: Extracting #1: cost 4 inf + 0 6.738 * * [simplify]: Extracting #2: cost 7 inf + 0 6.739 * * [simplify]: Extracting #3: cost 10 inf + 0 6.739 * * [simplify]: Extracting #4: cost 14 inf + 0 6.739 * * [simplify]: Extracting #5: cost 10 inf + 84 6.739 * * [simplify]: Extracting #6: cost 8 inf + 166 6.739 * * [simplify]: Extracting #7: cost 4 inf + 854 6.739 * * [simplify]: Extracting #8: cost 1 inf + 1540 6.739 * * [simplify]: Extracting #9: cost 0 inf + 1782 6.740 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 6.740 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) re))))) 6.740 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 6.740 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 6.740 * * [simplify]: iters left: 6 (7 enodes) 6.742 * * [simplify]: iters left: 5 (22 enodes) 6.745 * * [simplify]: Extracting #0: cost 1 inf + 0 6.745 * * [simplify]: Extracting #1: cost 3 inf + 0 6.745 * * [simplify]: Extracting #2: cost 5 inf + 0 6.745 * * [simplify]: Extracting #3: cost 8 inf + 0 6.745 * * [simplify]: Extracting #4: cost 12 inf + 0 6.745 * * [simplify]: Extracting #5: cost 10 inf + 2 6.745 * * [simplify]: Extracting #6: cost 1 inf + 936 6.745 * * [simplify]: Extracting #7: cost 0 inf + 1138 6.746 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.746 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) re))))) 6.746 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 6.746 * [simplify]: Simplifying (sqrt 1) 6.746 * * [simplify]: iters left: 1 (2 enodes) 6.748 * * [simplify]: Extracting #0: cost 1 inf + 0 6.748 * * [simplify]: Extracting #1: cost 0 inf + 1 6.748 * [simplify]: Simplified to 1 6.748 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (* 1 (sqrt (+ (* re re) (* im im)))))))) re))))) 6.749 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 6.749 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 6.749 * * [simplify]: iters left: 6 (9 enodes) 6.752 * * [simplify]: iters left: 5 (45 enodes) 6.767 * * [simplify]: iters left: 4 (100 enodes) 6.794 * * [simplify]: iters left: 3 (201 enodes) 6.848 * * [simplify]: iters left: 2 (406 enodes) 6.976 * * [simplify]: Extracting #0: cost 1 inf + 0 6.976 * * [simplify]: Extracting #1: cost 3 inf + 0 6.976 * * [simplify]: Extracting #2: cost 6 inf + 0 6.976 * * [simplify]: Extracting #3: cost 62 inf + 0 6.976 * * [simplify]: Extracting #4: cost 166 inf + 460 6.978 * * [simplify]: Extracting #5: cost 131 inf + 12951 6.981 * * [simplify]: Extracting #6: cost 49 inf + 45746 6.987 * * [simplify]: Extracting #7: cost 1 inf + 66256 6.992 * * [simplify]: Extracting #8: cost 0 inf + 65919 6.997 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 6.997 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (/ (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))))) 6.997 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 6.998 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.998 * * [simplify]: iters left: 6 (8 enodes) 7.000 * * [simplify]: iters left: 5 (37 enodes) 7.006 * * [simplify]: iters left: 4 (67 enodes) 7.018 * * [simplify]: iters left: 3 (123 enodes) 7.072 * * [simplify]: iters left: 2 (278 enodes) 7.188 * * [simplify]: Extracting #0: cost 1 inf + 0 7.188 * * [simplify]: Extracting #1: cost 3 inf + 0 7.188 * * [simplify]: Extracting #2: cost 50 inf + 0 7.189 * * [simplify]: Extracting #3: cost 150 inf + 0 7.190 * * [simplify]: Extracting #4: cost 194 inf + 1180 7.195 * * [simplify]: Extracting #5: cost 123 inf + 12421 7.208 * * [simplify]: Extracting #6: cost 12 inf + 33804 7.222 * * [simplify]: Extracting #7: cost 0 inf + 36129 7.237 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 7.237 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) re))))) 7.238 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 7.238 * [simplify]: Simplifying (+ (* re re) (* im im)) 7.238 * * [simplify]: iters left: 4 (5 enodes) 7.239 * * [simplify]: iters left: 3 (16 enodes) 7.241 * * [simplify]: Extracting #0: cost 1 inf + 0 7.241 * * [simplify]: Extracting #1: cost 4 inf + 0 7.241 * * [simplify]: Extracting #2: cost 8 inf + 0 7.241 * * [simplify]: Extracting #3: cost 4 inf + 84 7.241 * * [simplify]: Extracting #4: cost 0 inf + 410 7.242 * [simplify]: Simplified to (+ (* re re) (* im im)) 7.242 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (pow (+ (* re re) (* im im)) (/ 1 2)))))) re))))) 7.242 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 7.242 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 7.242 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.242 * * [simplify]: iters left: 5 (6 enodes) 7.243 * * [simplify]: iters left: 4 (19 enodes) 7.246 * * [simplify]: Extracting #0: cost 1 inf + 0 7.246 * * [simplify]: Extracting #1: cost 3 inf + 0 7.246 * * [simplify]: Extracting #2: cost 6 inf + 0 7.246 * * [simplify]: Extracting #3: cost 10 inf + 0 7.246 * * [simplify]: Extracting #4: cost 6 inf + 84 7.246 * * [simplify]: Extracting #5: cost 0 inf + 734 7.246 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.246 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (fabs (sqrt (+ (* re re) (* im im)))))))) re))))) 7.246 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 7.247 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re)))))> 7.247 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 7.247 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 7.247 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 7.247 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 7.247 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 7.247 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 7.247 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 7.247 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 7.247 * * [simplify]: iters left: 6 (8 enodes) 7.249 * * [simplify]: iters left: 5 (26 enodes) 7.252 * * [simplify]: Extracting #0: cost 1 inf + 0 7.253 * * [simplify]: Extracting #1: cost 4 inf + 0 7.253 * * [simplify]: Extracting #2: cost 7 inf + 0 7.253 * * [simplify]: Extracting #3: cost 10 inf + 0 7.253 * * [simplify]: Extracting #4: cost 14 inf + 0 7.253 * * [simplify]: Extracting #5: cost 10 inf + 84 7.253 * * [simplify]: Extracting #6: cost 8 inf + 166 7.253 * * [simplify]: Extracting #7: cost 4 inf + 854 7.253 * * [simplify]: Extracting #8: cost 1 inf + 1540 7.253 * * [simplify]: Extracting #9: cost 0 inf + 1782 7.254 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 7.254 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.254 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 7.254 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.254 * * [simplify]: iters left: 6 (7 enodes) 7.256 * * [simplify]: iters left: 5 (22 enodes) 7.259 * * [simplify]: Extracting #0: cost 1 inf + 0 7.259 * * [simplify]: Extracting #1: cost 3 inf + 0 7.259 * * [simplify]: Extracting #2: cost 5 inf + 0 7.259 * * [simplify]: Extracting #3: cost 8 inf + 0 7.259 * * [simplify]: Extracting #4: cost 12 inf + 0 7.259 * * [simplify]: Extracting #5: cost 10 inf + 2 7.259 * * [simplify]: Extracting #6: cost 1 inf + 936 7.260 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.260 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.260 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.261 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 7.261 * [simplify]: Simplifying (sqrt 1) 7.261 * * [simplify]: iters left: 1 (2 enodes) 7.264 * * [simplify]: Extracting #0: cost 1 inf + 0 7.264 * * [simplify]: Extracting #1: cost 0 inf + 1 7.264 * [simplify]: Simplified to 1 7.264 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (* 1 (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.264 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 7.265 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 7.265 * * [simplify]: iters left: 6 (9 enodes) 7.270 * * [simplify]: iters left: 5 (45 enodes) 7.289 * * [simplify]: iters left: 4 (100 enodes) 7.332 * * [simplify]: iters left: 3 (201 enodes) 7.416 * * [simplify]: iters left: 2 (406 enodes) 7.601 * * [simplify]: Extracting #0: cost 1 inf + 0 7.601 * * [simplify]: Extracting #1: cost 3 inf + 0 7.601 * * [simplify]: Extracting #2: cost 6 inf + 0 7.602 * * [simplify]: Extracting #3: cost 62 inf + 0 7.603 * * [simplify]: Extracting #4: cost 166 inf + 460 7.606 * * [simplify]: Extracting #5: cost 131 inf + 12951 7.618 * * [simplify]: Extracting #6: cost 49 inf + 45746 7.628 * * [simplify]: Extracting #7: cost 1 inf + 66256 7.639 * * [simplify]: Extracting #8: cost 0 inf + 65919 7.649 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 7.649 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (/ (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)))))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.650 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 7.650 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 7.650 * * [simplify]: iters left: 6 (8 enodes) 7.654 * * [simplify]: iters left: 5 (37 enodes) 7.667 * * [simplify]: iters left: 4 (67 enodes) 7.690 * * [simplify]: iters left: 3 (123 enodes) 7.740 * * [simplify]: iters left: 2 (278 enodes) 7.831 * * [simplify]: Extracting #0: cost 1 inf + 0 7.831 * * [simplify]: Extracting #1: cost 3 inf + 0 7.832 * * [simplify]: Extracting #2: cost 50 inf + 0 7.832 * * [simplify]: Extracting #3: cost 150 inf + 0 7.834 * * [simplify]: Extracting #4: cost 194 inf + 1180 7.839 * * [simplify]: Extracting #5: cost 123 inf + 12421 7.850 * * [simplify]: Extracting #6: cost 12 inf + 33804 7.866 * * [simplify]: Extracting #7: cost 0 inf + 36129 7.880 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 7.880 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.881 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 7.881 * [simplify]: Simplifying (+ (* re re) (* im im)) 7.881 * * [simplify]: iters left: 4 (5 enodes) 7.883 * * [simplify]: iters left: 3 (16 enodes) 7.888 * * [simplify]: Extracting #0: cost 1 inf + 0 7.888 * * [simplify]: Extracting #1: cost 4 inf + 0 7.888 * * [simplify]: Extracting #2: cost 8 inf + 0 7.888 * * [simplify]: Extracting #3: cost 4 inf + 84 7.888 * * [simplify]: Extracting #4: cost 0 inf + 410 7.888 * [simplify]: Simplified to (+ (* re re) (* im im)) 7.888 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (pow (+ (* re re) (* im im)) (/ 1 2)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.889 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 7.889 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 7.889 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.889 * * [simplify]: iters left: 5 (6 enodes) 7.892 * * [simplify]: iters left: 4 (19 enodes) 7.897 * * [simplify]: Extracting #0: cost 1 inf + 0 7.897 * * [simplify]: Extracting #1: cost 3 inf + 0 7.897 * * [simplify]: Extracting #2: cost 6 inf + 0 7.897 * * [simplify]: Extracting #3: cost 10 inf + 0 7.897 * * [simplify]: Extracting #4: cost 6 inf + 84 7.897 * * [simplify]: Extracting #5: cost 0 inf + 734 7.898 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.898 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (fabs (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.898 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 7.898 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 7.898 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 7.898 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 7.898 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 7.898 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 7.898 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 7.899 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 7.899 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 7.899 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 7.899 * * [simplify]: iters left: 6 (8 enodes) 7.902 * * [simplify]: iters left: 5 (26 enodes) 7.908 * * [simplify]: Extracting #0: cost 1 inf + 0 7.909 * * [simplify]: Extracting #1: cost 4 inf + 0 7.909 * * [simplify]: Extracting #2: cost 7 inf + 0 7.909 * * [simplify]: Extracting #3: cost 10 inf + 0 7.909 * * [simplify]: Extracting #4: cost 14 inf + 0 7.909 * * [simplify]: Extracting #5: cost 10 inf + 84 7.909 * * [simplify]: Extracting #6: cost 8 inf + 166 7.909 * * [simplify]: Extracting #7: cost 4 inf + 854 7.909 * * [simplify]: Extracting #8: cost 1 inf + 1540 7.909 * * [simplify]: Extracting #9: cost 0 inf + 1782 7.912 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 7.913 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.913 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 7.913 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.913 * * [simplify]: iters left: 6 (7 enodes) 7.915 * * [simplify]: iters left: 5 (22 enodes) 7.918 * * [simplify]: Extracting #0: cost 1 inf + 0 7.918 * * [simplify]: Extracting #1: cost 3 inf + 0 7.918 * * [simplify]: Extracting #2: cost 5 inf + 0 7.918 * * [simplify]: Extracting #3: cost 8 inf + 0 7.918 * * [simplify]: Extracting #4: cost 12 inf + 0 7.918 * * [simplify]: Extracting #5: cost 10 inf + 2 7.918 * * [simplify]: Extracting #6: cost 1 inf + 936 7.918 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.918 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.918 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.919 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 7.919 * [simplify]: Simplifying (sqrt 1) 7.919 * * [simplify]: iters left: 1 (2 enodes) 7.921 * * [simplify]: Extracting #0: cost 1 inf + 0 7.921 * * [simplify]: Extracting #1: cost 0 inf + 1 7.921 * [simplify]: Simplified to 1 7.921 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (* 1 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 7.921 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 7.921 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 7.921 * * [simplify]: iters left: 6 (9 enodes) 7.924 * * [simplify]: iters left: 5 (45 enodes) 7.936 * * [simplify]: iters left: 4 (100 enodes) 7.967 * * [simplify]: iters left: 3 (201 enodes) 8.039 * * [simplify]: iters left: 2 (406 enodes) 8.169 * * [simplify]: Extracting #0: cost 1 inf + 0 8.169 * * [simplify]: Extracting #1: cost 3 inf + 0 8.170 * * [simplify]: Extracting #2: cost 6 inf + 0 8.170 * * [simplify]: Extracting #3: cost 62 inf + 0 8.170 * * [simplify]: Extracting #4: cost 166 inf + 460 8.173 * * [simplify]: Extracting #5: cost 131 inf + 12951 8.180 * * [simplify]: Extracting #6: cost 49 inf + 45746 8.191 * * [simplify]: Extracting #7: cost 1 inf + 66256 8.201 * * [simplify]: Extracting #8: cost 0 inf + 65919 8.212 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 8.213 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (/ (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))))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.213 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 8.213 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 8.213 * * [simplify]: iters left: 6 (8 enodes) 8.215 * * [simplify]: iters left: 5 (37 enodes) 8.222 * * [simplify]: iters left: 4 (67 enodes) 8.240 * * [simplify]: iters left: 3 (123 enodes) 8.288 * * [simplify]: iters left: 2 (278 enodes) 8.438 * * [simplify]: Extracting #0: cost 1 inf + 0 8.438 * * [simplify]: Extracting #1: cost 3 inf + 0 8.438 * * [simplify]: Extracting #2: cost 50 inf + 0 8.439 * * [simplify]: Extracting #3: cost 150 inf + 0 8.441 * * [simplify]: Extracting #4: cost 194 inf + 1180 8.446 * * [simplify]: Extracting #5: cost 123 inf + 12421 8.457 * * [simplify]: Extracting #6: cost 12 inf + 33804 8.464 * * [simplify]: Extracting #7: cost 0 inf + 36129 8.471 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 8.471 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.472 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 8.472 * [simplify]: Simplifying (+ (* re re) (* im im)) 8.472 * * [simplify]: iters left: 4 (5 enodes) 8.473 * * [simplify]: iters left: 3 (16 enodes) 8.475 * * [simplify]: Extracting #0: cost 1 inf + 0 8.475 * * [simplify]: Extracting #1: cost 4 inf + 0 8.475 * * [simplify]: Extracting #2: cost 8 inf + 0 8.475 * * [simplify]: Extracting #3: cost 4 inf + 84 8.475 * * [simplify]: Extracting #4: cost 0 inf + 410 8.475 * [simplify]: Simplified to (+ (* re re) (* im im)) 8.475 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (pow (+ (* re re) (* im im)) (/ 1 2))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.476 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 8.476 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 8.476 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 8.476 * * [simplify]: iters left: 5 (6 enodes) 8.477 * * [simplify]: iters left: 4 (19 enodes) 8.480 * * [simplify]: Extracting #0: cost 1 inf + 0 8.480 * * [simplify]: Extracting #1: cost 3 inf + 0 8.480 * * [simplify]: Extracting #2: cost 6 inf + 0 8.480 * * [simplify]: Extracting #3: cost 10 inf + 0 8.480 * * [simplify]: Extracting #4: cost 6 inf + 84 8.480 * * [simplify]: Extracting #5: cost 0 inf + 734 8.480 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.480 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (fabs (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.480 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 8.480 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 8.481 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 8.481 * [simplify]: Simplifying (* (exp (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (exp re)) 8.481 * * [simplify]: iters left: 6 (14 enodes) 8.485 * * [simplify]: iters left: 5 (47 enodes) 8.498 * * [simplify]: iters left: 4 (62 enodes) 8.517 * * [simplify]: iters left: 3 (87 enodes) 8.549 * * [simplify]: iters left: 2 (150 enodes) 8.593 * * [simplify]: iters left: 1 (310 enodes) 8.690 * * [simplify]: Extracting #0: cost 1 inf + 0 8.690 * * [simplify]: Extracting #1: cost 33 inf + 0 8.691 * * [simplify]: Extracting #2: cost 117 inf + 0 8.692 * * [simplify]: Extracting #3: cost 172 inf + 3 8.693 * * [simplify]: Extracting #4: cost 203 inf + 220 8.695 * * [simplify]: Extracting #5: cost 203 inf + 547 8.697 * * [simplify]: Extracting #6: cost 192 inf + 1854 8.700 * * [simplify]: Extracting #7: cost 172 inf + 7363 8.708 * * [simplify]: Extracting #8: cost 124 inf + 27371 8.729 * * [simplify]: Extracting #9: cost 43 inf + 84594 8.767 * * [simplify]: Extracting #10: cost 2 inf + 123173 8.804 * * [simplify]: Extracting #11: cost 0 inf + 124679 8.829 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im))))) 8.829 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im)))))))))) 8.830 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 8.830 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> 8.830 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 8.831 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 8.831 * [simplify]: Simplifying im 8.831 * * [simplify]: iters left: 0 (1 enodes) 8.831 * * [simplify]: Extracting #0: cost 1 inf + 0 8.831 * * [simplify]: Extracting #1: cost 0 inf + 1 8.832 * [simplify]: Simplified to im 8.832 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log im)))) re))))) 8.832 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 8.832 * [simplify]: Simplifying re 8.832 * * [simplify]: iters left: 0 (1 enodes) 8.833 * * [simplify]: Extracting #0: cost 1 inf + 0 8.833 * * [simplify]: Extracting #1: cost 0 inf + 1 8.833 * [simplify]: Simplified to re 8.833 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log re)))) re))))) 8.833 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 8.833 * [simplify]: Simplifying (* -1 re) 8.833 * * [simplify]: iters left: 2 (3 enodes) 8.835 * * [simplify]: iters left: 1 (11 enodes) 8.838 * * [simplify]: Extracting #0: cost 1 inf + 0 8.838 * * [simplify]: Extracting #1: cost 4 inf + 0 8.838 * * [simplify]: Extracting #2: cost 0 inf + 84 8.838 * [simplify]: Simplified to (- re) 8.839 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (- re))))) re))))) 8.839 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 8.839 * [simplify]: Simplifying im 8.839 * * [simplify]: iters left: 0 (1 enodes) 8.839 * * [simplify]: Extracting #0: cost 1 inf + 0 8.839 * * [simplify]: Extracting #1: cost 0 inf + 1 8.839 * [simplify]: Simplified to im 8.839 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log im)))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.839 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 8.840 * [simplify]: Simplifying re 8.840 * * [simplify]: iters left: 0 (1 enodes) 8.840 * * [simplify]: Extracting #0: cost 1 inf + 0 8.840 * * [simplify]: Extracting #1: cost 0 inf + 1 8.840 * [simplify]: Simplified to re 8.840 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log re)))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.840 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 8.840 * [simplify]: Simplifying (* -1 re) 8.840 * * [simplify]: iters left: 2 (3 enodes) 8.841 * * [simplify]: iters left: 1 (11 enodes) 8.843 * * [simplify]: Extracting #0: cost 1 inf + 0 8.843 * * [simplify]: Extracting #1: cost 4 inf + 0 8.843 * * [simplify]: Extracting #2: cost 0 inf + 84 8.843 * [simplify]: Simplified to (- re) 8.843 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (- re))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.843 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 8.843 * [simplify]: Simplifying im 8.843 * * [simplify]: iters left: 0 (1 enodes) 8.844 * * [simplify]: Extracting #0: cost 1 inf + 0 8.844 * * [simplify]: Extracting #1: cost 0 inf + 1 8.844 * [simplify]: Simplified to im 8.844 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log im))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.844 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 8.844 * [simplify]: Simplifying re 8.844 * * [simplify]: iters left: 0 (1 enodes) 8.844 * * [simplify]: Extracting #0: cost 1 inf + 0 8.844 * * [simplify]: Extracting #1: cost 0 inf + 1 8.844 * [simplify]: Simplified to re 8.844 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log re))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.845 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 8.845 * [simplify]: Simplifying (* -1 re) 8.845 * * [simplify]: iters left: 2 (3 enodes) 8.846 * * [simplify]: iters left: 1 (11 enodes) 8.847 * * [simplify]: Extracting #0: cost 1 inf + 0 8.847 * * [simplify]: Extracting #1: cost 4 inf + 0 8.847 * * [simplify]: Extracting #2: cost 0 inf + 84 8.847 * [simplify]: Simplified to (- re) 8.847 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (- re)))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))))) 8.848 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 8.848 * [simplify]: Simplifying (+ re im) 8.848 * * [simplify]: iters left: 2 (3 enodes) 8.848 * * [simplify]: iters left: 1 (10 enodes) 8.850 * * [simplify]: Extracting #0: cost 1 inf + 0 8.850 * * [simplify]: Extracting #1: cost 4 inf + 0 8.850 * * [simplify]: Extracting #2: cost 2 inf + 2 8.850 * * [simplify]: Extracting #3: cost 0 inf + 86 8.850 * [simplify]: Simplified to (+ im re) 8.850 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 8.850 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 8.850 * [simplify]: Simplifying (* 2 re) 8.850 * * [simplify]: iters left: 2 (3 enodes) 8.851 * * [simplify]: iters left: 1 (10 enodes) 8.853 * * [simplify]: Extracting #0: cost 1 inf + 0 8.853 * * [simplify]: Extracting #1: cost 4 inf + 0 8.853 * * [simplify]: Extracting #2: cost 2 inf + 2 8.853 * * [simplify]: Extracting #3: cost 0 inf + 86 8.853 * [simplify]: Simplified to (* 2 re) 8.853 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 8.853 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 8.853 * [simplify]: Simplifying 0 8.853 * * [simplify]: iters left: 0 (1 enodes) 8.854 * * [simplify]: Extracting #0: cost 1 inf + 0 8.854 * * [simplify]: Extracting #1: cost 0 inf + 1 8.854 * [simplify]: Simplified to 0 8.854 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 8.854 * * * [progress]: adding candidates to table 10.049 * * [progress]: iteration 4 / 4 10.049 * * * [progress]: picking best candidate 10.081 * * * * [pick]: Picked # 10.081 * * * [progress]: localizing error 10.112 * * * [progress]: generating rewritten candidates 10.112 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 10.118 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 10.127 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.177 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 10.222 * * * [progress]: generating series expansions 10.222 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 10.222 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.222 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.222 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.222 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.222 * [taylor]: Taking taylor expansion of im in im 10.222 * [backup-simplify]: Simplify 0 into 0 10.222 * [backup-simplify]: Simplify 1 into 1 10.222 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.222 * [taylor]: Taking taylor expansion of re in im 10.222 * [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 (sqrt (+ (pow im 2) (pow re 2))) in re 10.223 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.223 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.223 * [taylor]: Taking taylor expansion of im in re 10.223 * [backup-simplify]: Simplify im into im 10.223 * [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 (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 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 10.225 * [taylor]: Taking taylor expansion of 0 in im 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.225 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.226 * [backup-simplify]: Simplify (* 1 1) into 1 10.226 * [backup-simplify]: Simplify (+ 0 1) into 1 10.226 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.226 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.226 * [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 im in im 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.227 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.229 * [backup-simplify]: Simplify (+ 0 0) into 0 10.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.229 * [taylor]: Taking taylor expansion of 0 in im 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 0 into 0 10.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.230 * [backup-simplify]: Simplify 0 into 0 10.230 * [backup-simplify]: Simplify 0 into 0 10.230 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.230 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.230 * [taylor]: Taking taylor expansion of re in im 10.230 * [backup-simplify]: Simplify re into re 10.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.230 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.230 * [taylor]: Taking taylor expansion of im in im 10.230 * [backup-simplify]: Simplify 0 into 0 10.230 * [backup-simplify]: Simplify 1 into 1 10.231 * [backup-simplify]: Simplify (* 1 1) into 1 10.231 * [backup-simplify]: Simplify (/ 1 1) into 1 10.231 * [backup-simplify]: Simplify (+ 0 1) into 1 10.231 * [backup-simplify]: Simplify (sqrt 1) into 1 10.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.232 * [backup-simplify]: Simplify (+ 0 0) into 0 10.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.233 * [taylor]: Taking taylor expansion of re in re 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.236 * [backup-simplify]: Simplify (* 1 1) into 1 10.236 * [backup-simplify]: Simplify (/ 1 1) into 1 10.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.236 * [taylor]: Taking taylor expansion of im in re 10.237 * [backup-simplify]: Simplify im into im 10.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.237 * [backup-simplify]: Simplify (+ 1 0) into 1 10.238 * [backup-simplify]: Simplify (sqrt 1) into 1 10.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.239 * [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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.240 * [taylor]: Taking taylor expansion of (pow re 2) 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 1) into 1 10.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.241 * [taylor]: Taking taylor expansion of im in re 10.241 * [backup-simplify]: Simplify im into im 10.241 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.242 * [backup-simplify]: Simplify (+ 1 0) into 1 10.242 * [backup-simplify]: Simplify (sqrt 1) into 1 10.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.244 * [backup-simplify]: Simplify (+ 0 0) into 0 10.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.245 * [taylor]: Taking taylor expansion of 1 in im 10.245 * [backup-simplify]: Simplify 1 into 1 10.245 * [taylor]: Taking taylor expansion of 0 in im 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 1 into 1 10.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.247 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.249 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.249 * [taylor]: Taking taylor expansion of 1/2 in im 10.249 * [backup-simplify]: Simplify 1/2 into 1/2 10.249 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.249 * [taylor]: Taking taylor expansion of im in im 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [backup-simplify]: Simplify (* 1 1) into 1 10.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.252 * [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 10.253 * [taylor]: Taking taylor expansion of 0 in im 10.253 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.255 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.255 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.255 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.255 * [taylor]: Taking taylor expansion of re in im 10.255 * [backup-simplify]: Simplify re into re 10.255 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.255 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.255 * [taylor]: Taking taylor expansion of im in im 10.255 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (* 1 1) into 1 10.255 * [backup-simplify]: Simplify (/ 1 1) into 1 10.256 * [backup-simplify]: Simplify (+ 0 1) into 1 10.256 * [backup-simplify]: Simplify (sqrt 1) into 1 10.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.257 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.258 * [taylor]: Taking taylor expansion of re in re 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 1 into 1 10.258 * [backup-simplify]: Simplify (* 1 1) into 1 10.258 * [backup-simplify]: Simplify (/ 1 1) into 1 10.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.258 * [taylor]: Taking taylor expansion of im in re 10.258 * [backup-simplify]: Simplify im into im 10.258 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.258 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.259 * [backup-simplify]: Simplify (+ 1 0) into 1 10.259 * [backup-simplify]: Simplify (sqrt 1) into 1 10.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.260 * [backup-simplify]: Simplify (+ 0 0) into 0 10.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.260 * [taylor]: Taking taylor expansion of re in re 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify 1 into 1 10.261 * [backup-simplify]: Simplify (* 1 1) into 1 10.261 * [backup-simplify]: Simplify (/ 1 1) into 1 10.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.261 * [taylor]: Taking taylor expansion of im in re 10.261 * [backup-simplify]: Simplify im into im 10.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.261 * [backup-simplify]: Simplify (+ 1 0) into 1 10.262 * [backup-simplify]: Simplify (sqrt 1) into 1 10.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.263 * [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 in im 10.263 * [backup-simplify]: Simplify 1 into 1 10.263 * [taylor]: Taking taylor expansion of 0 in im 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.265 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.265 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.265 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.265 * [taylor]: Taking taylor expansion of 1/2 in im 10.265 * [backup-simplify]: Simplify 1/2 into 1/2 10.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.265 * [taylor]: Taking taylor expansion of im in im 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 1 into 1 10.266 * [backup-simplify]: Simplify (* 1 1) into 1 10.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.268 * [backup-simplify]: Simplify (+ 0 0) into 0 10.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.269 * [taylor]: Taking taylor expansion of 0 in im 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 10.270 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 10.270 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 10.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 10.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.270 * [taylor]: Taking taylor expansion of 2.0 in im 10.270 * [backup-simplify]: Simplify 2.0 into 2.0 10.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.271 * [taylor]: Taking taylor expansion of im in im 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 1 into 1 10.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 10.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.271 * [taylor]: Taking taylor expansion of 2.0 in im 10.271 * [backup-simplify]: Simplify 2.0 into 2.0 10.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.272 * [taylor]: Taking taylor expansion of im in im 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 1 into 1 10.272 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 10.274 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.275 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 10.275 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.277 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.277 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.279 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.280 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.282 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.282 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.285 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 10.286 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 10.286 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 10.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.286 * [taylor]: Taking taylor expansion of 2.0 in im 10.286 * [backup-simplify]: Simplify 2.0 into 2.0 10.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.288 * [taylor]: Taking taylor expansion of im in im 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 1 into 1 10.289 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.289 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.289 * [taylor]: Taking taylor expansion of 2.0 in im 10.289 * [backup-simplify]: Simplify 2.0 into 2.0 10.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.290 * [taylor]: Taking taylor expansion of im in im 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 1 into 1 10.291 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.291 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.292 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.295 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.297 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.303 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.306 * [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 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 10.306 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 10.306 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 10.307 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.307 * [taylor]: Taking taylor expansion of 2.0 in im 10.307 * [backup-simplify]: Simplify 2.0 into 2.0 10.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.308 * [taylor]: Taking taylor expansion of im in im 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify 1 into 1 10.309 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.309 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.309 * [taylor]: Taking taylor expansion of 2.0 in im 10.309 * [backup-simplify]: Simplify 2.0 into 2.0 10.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.310 * [taylor]: Taking taylor expansion of im in im 10.310 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify 1 into 1 10.311 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.312 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.313 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.315 * [backup-simplify]: Simplify 0 into 0 10.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.316 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.318 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.319 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.321 * [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 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 10.321 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 10.322 * [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)))) 10.322 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 10.322 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 10.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 10.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.322 * [taylor]: Taking taylor expansion of 2.0 in re 10.322 * [backup-simplify]: Simplify 2.0 into 2.0 10.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.322 * [taylor]: Taking taylor expansion of im in re 10.322 * [backup-simplify]: Simplify im into im 10.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 10.323 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 10.323 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 10.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.323 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.323 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.323 * [taylor]: Taking taylor expansion of im in re 10.323 * [backup-simplify]: Simplify im into im 10.323 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.323 * [taylor]: Taking taylor expansion of re in re 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify 1 into 1 10.323 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.323 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.323 * [backup-simplify]: Simplify (+ 0 0) into 0 10.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.323 * [taylor]: Taking taylor expansion of re in re 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify 1 into 1 10.324 * [backup-simplify]: Simplify (- 0) into 0 10.324 * [backup-simplify]: Simplify (+ im 0) into im 10.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.324 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 10.324 * [backup-simplify]: Simplify (- 1) into -1 10.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 10.325 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 10.325 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 10.325 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 10.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.325 * [taylor]: Taking taylor expansion of 2.0 in im 10.325 * [backup-simplify]: Simplify 2.0 into 2.0 10.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.325 * [taylor]: Taking taylor expansion of im in im 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 1 into 1 10.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 10.325 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 10.325 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 10.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.325 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.326 * [taylor]: Taking taylor expansion of im in im 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.326 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.326 * [taylor]: Taking taylor expansion of re in im 10.326 * [backup-simplify]: Simplify re into re 10.326 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.326 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.326 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.326 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.326 * [backup-simplify]: Simplify (+ 0 0) into 0 10.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.326 * [taylor]: Taking taylor expansion of re in im 10.326 * [backup-simplify]: Simplify re into re 10.326 * [backup-simplify]: Simplify (- re) into (- re) 10.326 * [backup-simplify]: Simplify (+ re (- re)) into 0 10.326 * [backup-simplify]: Simplify (- 0) into 0 10.327 * [backup-simplify]: Simplify (+ 0 0) into 0 10.327 * [backup-simplify]: Simplify (* 1 1) into 1 10.327 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.328 * [backup-simplify]: Simplify (+ 1 0) into 1 10.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 10.328 * [backup-simplify]: Simplify (- 0) into 0 10.329 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 10.329 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 10.329 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 10.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.330 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 10.330 * [backup-simplify]: Simplify (+ 0 0) into 0 10.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 10.330 * [backup-simplify]: Simplify (- 0) into 0 10.330 * [backup-simplify]: Simplify (+ 0 0) into 0 10.330 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 10.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 10.331 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 10.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 10.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.331 * [taylor]: Taking taylor expansion of 2.0 in im 10.331 * [backup-simplify]: Simplify 2.0 into 2.0 10.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.331 * [taylor]: Taking taylor expansion of im in im 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 1 into 1 10.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 10.331 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 10.331 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 10.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.331 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.331 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.331 * [taylor]: Taking taylor expansion of im in im 10.331 * [backup-simplify]: Simplify 0 into 0 10.332 * [backup-simplify]: Simplify 1 into 1 10.332 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.332 * [taylor]: Taking taylor expansion of re in im 10.332 * [backup-simplify]: Simplify re into re 10.332 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.332 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.332 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.332 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.332 * [backup-simplify]: Simplify (+ 0 0) into 0 10.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.332 * [taylor]: Taking taylor expansion of re in im 10.332 * [backup-simplify]: Simplify re into re 10.332 * [backup-simplify]: Simplify (- re) into (- re) 10.332 * [backup-simplify]: Simplify (+ re (- re)) into 0 10.332 * [backup-simplify]: Simplify (- 0) into 0 10.333 * [backup-simplify]: Simplify (+ 0 0) into 0 10.333 * [backup-simplify]: Simplify (* 1 1) into 1 10.333 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.333 * [backup-simplify]: Simplify (+ 1 0) into 1 10.334 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 10.334 * [backup-simplify]: Simplify (- 0) into 0 10.334 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 10.334 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 10.334 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 10.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.335 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 10.335 * [backup-simplify]: Simplify (+ 0 0) into 0 10.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 10.336 * [backup-simplify]: Simplify (- 0) into 0 10.336 * [backup-simplify]: Simplify (+ 0 0) into 0 10.336 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 10.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 10.337 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.337 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 10.337 * [taylor]: Taking taylor expansion of 0 in re 10.337 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 10.339 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 10.339 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 10.339 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 10.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.339 * [taylor]: Taking taylor expansion of 2.0 in re 10.339 * [backup-simplify]: Simplify 2.0 into 2.0 10.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.340 * [taylor]: Taking taylor expansion of (sqrt 2) in re 10.340 * [taylor]: Taking taylor expansion of 2 in re 10.340 * [backup-simplify]: Simplify 2 into 2 10.340 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 10.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 10.340 * [taylor]: Taking taylor expansion of (sqrt re) in re 10.341 * [taylor]: Taking taylor expansion of re in re 10.341 * [backup-simplify]: Simplify 0 into 0 10.341 * [backup-simplify]: Simplify 1 into 1 10.341 * [backup-simplify]: Simplify (sqrt 0) into 0 10.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.349 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 10.350 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.353 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 10.353 * [backup-simplify]: Simplify (+ 0 0) into 0 10.354 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 10.354 * [backup-simplify]: Simplify (- 0) into 0 10.354 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 10.355 * [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)) 10.356 * [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))))) 10.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.358 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 10.361 * [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 10.361 * [taylor]: Taking taylor expansion of 0 in re 10.361 * [backup-simplify]: Simplify 0 into 0 10.361 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 10.366 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.369 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.369 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.372 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 10.372 * [backup-simplify]: Simplify (+ 0 0) into 0 10.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 10.373 * [backup-simplify]: Simplify (- 0) into 0 10.373 * [backup-simplify]: Simplify (+ 0 0) into 0 10.373 * [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 10.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 10.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.378 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.380 * [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))))) 10.380 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 10.380 * [taylor]: Taking taylor expansion of 1/4 in re 10.380 * [backup-simplify]: Simplify 1/4 into 1/4 10.380 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 10.380 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 10.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.380 * [taylor]: Taking taylor expansion of 2.0 in re 10.380 * [backup-simplify]: Simplify 2.0 into 2.0 10.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.381 * [taylor]: Taking taylor expansion of (sqrt 2) in re 10.381 * [taylor]: Taking taylor expansion of 2 in re 10.381 * [backup-simplify]: Simplify 2 into 2 10.381 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 10.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 10.382 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 10.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 10.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 10.382 * [taylor]: Taking taylor expansion of (pow re 3) in re 10.383 * [taylor]: Taking taylor expansion of re in re 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify 1 into 1 10.383 * [backup-simplify]: Simplify (* 1 1) into 1 10.383 * [backup-simplify]: Simplify (* 1 1) into 1 10.383 * [backup-simplify]: Simplify (/ 1 1) into 1 10.383 * [backup-simplify]: Simplify (sqrt 0) into 0 10.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.387 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.388 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 10.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 10.390 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 10.393 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 10.395 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 10.396 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 10.400 * [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)))) 10.402 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 10.402 * [backup-simplify]: Simplify 0 into 0 10.404 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 10.405 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.406 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 10.410 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.413 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.423 * [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))))))))) 10.423 * [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))))) 10.423 * [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 10.423 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 10.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 10.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.423 * [taylor]: Taking taylor expansion of 2.0 in re 10.423 * [backup-simplify]: Simplify 2.0 into 2.0 10.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.424 * [taylor]: Taking taylor expansion of im in re 10.424 * [backup-simplify]: Simplify im into im 10.424 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 10.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 10.425 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 10.425 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.425 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.425 * [taylor]: Taking taylor expansion of re in re 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.425 * [backup-simplify]: Simplify (* 1 1) into 1 10.425 * [backup-simplify]: Simplify (/ 1 1) into 1 10.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.425 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.425 * [taylor]: Taking taylor expansion of im in re 10.425 * [backup-simplify]: Simplify im into im 10.425 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.425 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.426 * [backup-simplify]: Simplify (+ 1 0) into 1 10.426 * [backup-simplify]: Simplify (sqrt 1) into 1 10.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.427 * [backup-simplify]: Simplify (+ 0 0) into 0 10.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.427 * [taylor]: Taking taylor expansion of re in re 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify 1 into 1 10.428 * [backup-simplify]: Simplify (/ 1 1) into 1 10.428 * [backup-simplify]: Simplify (- 1) into -1 10.428 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.429 * [backup-simplify]: Simplify (- 0) into 0 10.429 * [backup-simplify]: Simplify (+ 0 0) into 0 10.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.430 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.431 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.432 * [backup-simplify]: Simplify (- 0) into 0 10.432 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.432 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 10.432 * [backup-simplify]: Simplify (sqrt 0) into 0 10.433 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 10.433 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 10.433 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.433 * [taylor]: Taking taylor expansion of 2.0 in im 10.433 * [backup-simplify]: Simplify 2.0 into 2.0 10.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.433 * [taylor]: Taking taylor expansion of im in im 10.433 * [backup-simplify]: Simplify 0 into 0 10.433 * [backup-simplify]: Simplify 1 into 1 10.434 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 10.434 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 10.434 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.434 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.434 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.434 * [taylor]: Taking taylor expansion of re in im 10.434 * [backup-simplify]: Simplify re into re 10.434 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.434 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.434 * [taylor]: Taking taylor expansion of im in im 10.434 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify 1 into 1 10.435 * [backup-simplify]: Simplify (* 1 1) into 1 10.435 * [backup-simplify]: Simplify (/ 1 1) into 1 10.435 * [backup-simplify]: Simplify (+ 0 1) into 1 10.435 * [backup-simplify]: Simplify (sqrt 1) into 1 10.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.436 * [backup-simplify]: Simplify (+ 0 0) into 0 10.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.437 * [taylor]: Taking taylor expansion of re in im 10.437 * [backup-simplify]: Simplify re into re 10.437 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.437 * [backup-simplify]: Simplify (+ 1 0) into 1 10.438 * [backup-simplify]: Simplify (/ 1 1) into 1 10.438 * [backup-simplify]: Simplify (sqrt 0) into 0 10.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.439 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 10.439 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.439 * [taylor]: Taking taylor expansion of 2.0 in im 10.439 * [backup-simplify]: Simplify 2.0 into 2.0 10.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.440 * [taylor]: Taking taylor expansion of im in im 10.440 * [backup-simplify]: Simplify 0 into 0 10.440 * [backup-simplify]: Simplify 1 into 1 10.441 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 10.441 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 10.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.441 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.441 * [taylor]: Taking taylor expansion of re in im 10.441 * [backup-simplify]: Simplify re into re 10.441 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.441 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.441 * [taylor]: Taking taylor expansion of im in im 10.441 * [backup-simplify]: Simplify 0 into 0 10.441 * [backup-simplify]: Simplify 1 into 1 10.441 * [backup-simplify]: Simplify (* 1 1) into 1 10.441 * [backup-simplify]: Simplify (/ 1 1) into 1 10.442 * [backup-simplify]: Simplify (+ 0 1) into 1 10.442 * [backup-simplify]: Simplify (sqrt 1) into 1 10.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.443 * [backup-simplify]: Simplify (+ 0 0) into 0 10.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.443 * [taylor]: Taking taylor expansion of re in im 10.443 * [backup-simplify]: Simplify re into re 10.444 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.444 * [backup-simplify]: Simplify (+ 1 0) into 1 10.444 * [backup-simplify]: Simplify (/ 1 1) into 1 10.444 * [backup-simplify]: Simplify (sqrt 0) into 0 10.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.445 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.445 * [taylor]: Taking taylor expansion of 0 in re 10.446 * [backup-simplify]: Simplify 0 into 0 10.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.447 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.447 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 10.447 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.447 * [taylor]: Taking taylor expansion of +nan.0 in re 10.447 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.447 * [taylor]: Taking taylor expansion of 2.0 in re 10.447 * [backup-simplify]: Simplify 2.0 into 2.0 10.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 10.448 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 10.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 10.449 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 10.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.451 * [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))))) 10.451 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.451 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.451 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.451 * [taylor]: Taking taylor expansion of +nan.0 in re 10.451 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.451 * [taylor]: Taking taylor expansion of 2.0 in re 10.451 * [backup-simplify]: Simplify 2.0 into 2.0 10.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.458 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.458 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.458 * [taylor]: Taking taylor expansion of +nan.0 in re 10.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.458 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.458 * [taylor]: Taking taylor expansion of 2.0 in re 10.458 * [backup-simplify]: Simplify 2.0 into 2.0 10.458 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.458 * [taylor]: Taking taylor expansion of re in re 10.458 * [backup-simplify]: Simplify 0 into 0 10.458 * [backup-simplify]: Simplify 1 into 1 10.459 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.460 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.461 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.462 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.463 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.464 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.465 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.466 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.467 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.467 * [backup-simplify]: Simplify 0 into 0 10.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.468 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.469 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.469 * [backup-simplify]: Simplify (- 0) into 0 10.469 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 10.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.470 * [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)))) 10.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.473 * [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)))))))) 10.473 * [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 10.473 * [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 10.473 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.473 * [taylor]: Taking taylor expansion of +nan.0 in re 10.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.473 * [taylor]: Taking taylor expansion of 2.0 in re 10.473 * [backup-simplify]: Simplify 2.0 into 2.0 10.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.474 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 10.474 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 10.474 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.474 * [taylor]: Taking taylor expansion of +nan.0 in re 10.474 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.474 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.474 * [taylor]: Taking taylor expansion of 2.0 in re 10.474 * [backup-simplify]: Simplify 2.0 into 2.0 10.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.475 * [taylor]: Taking taylor expansion of re in re 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 1 into 1 10.475 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 10.476 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 10.476 * [taylor]: Taking taylor expansion of +nan.0 in re 10.476 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.476 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 10.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.476 * [taylor]: Taking taylor expansion of 2.0 in re 10.476 * [backup-simplify]: Simplify 2.0 into 2.0 10.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.477 * [taylor]: Taking taylor expansion of re in re 10.477 * [backup-simplify]: Simplify 0 into 0 10.477 * [backup-simplify]: Simplify 1 into 1 10.477 * [backup-simplify]: Simplify (* 1 1) into 1 10.478 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.479 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.482 * [backup-simplify]: Simplify (- 0) into 0 10.483 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.486 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.488 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.490 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.491 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.496 * [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))))))) 10.497 * [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)))))))) 10.497 * [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 10.497 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 10.497 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 10.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.497 * [taylor]: Taking taylor expansion of 2.0 in re 10.497 * [backup-simplify]: Simplify 2.0 into 2.0 10.497 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.499 * [taylor]: Taking taylor expansion of im in re 10.499 * [backup-simplify]: Simplify im into im 10.499 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 10.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 10.499 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.499 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.499 * [taylor]: Taking taylor expansion of re in re 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.500 * [backup-simplify]: Simplify (/ 1 1) into 1 10.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.500 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.500 * [taylor]: Taking taylor expansion of re in re 10.500 * [backup-simplify]: Simplify 0 into 0 10.500 * [backup-simplify]: Simplify 1 into 1 10.500 * [backup-simplify]: Simplify (* 1 1) into 1 10.501 * [backup-simplify]: Simplify (/ 1 1) into 1 10.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.501 * [taylor]: Taking taylor expansion of im in re 10.501 * [backup-simplify]: Simplify im into im 10.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.501 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.501 * [backup-simplify]: Simplify (+ 1 0) into 1 10.502 * [backup-simplify]: Simplify (sqrt 1) into 1 10.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.503 * [backup-simplify]: Simplify (+ 0 0) into 0 10.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.505 * [backup-simplify]: Simplify (+ 1 1) into 2 10.505 * [backup-simplify]: Simplify (/ 1 2) into 1/2 10.506 * [backup-simplify]: Simplify (sqrt 0) into 0 10.507 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 10.507 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 10.507 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.507 * [taylor]: Taking taylor expansion of 2.0 in im 10.507 * [backup-simplify]: Simplify 2.0 into 2.0 10.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.508 * [taylor]: Taking taylor expansion of im in im 10.508 * [backup-simplify]: Simplify 0 into 0 10.508 * [backup-simplify]: Simplify 1 into 1 10.508 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 10.509 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.509 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.509 * [taylor]: Taking taylor expansion of re in im 10.509 * [backup-simplify]: Simplify re into re 10.509 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.509 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.509 * [taylor]: Taking taylor expansion of re in im 10.509 * [backup-simplify]: Simplify re into re 10.509 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.509 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.509 * [taylor]: Taking taylor expansion of im in im 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 1 into 1 10.509 * [backup-simplify]: Simplify (* 1 1) into 1 10.509 * [backup-simplify]: Simplify (/ 1 1) into 1 10.510 * [backup-simplify]: Simplify (+ 0 1) into 1 10.510 * [backup-simplify]: Simplify (sqrt 1) into 1 10.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.511 * [backup-simplify]: Simplify (+ 0 0) into 0 10.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.512 * [backup-simplify]: Simplify (+ 0 1) into 1 10.512 * [backup-simplify]: Simplify (/ 1 1) into 1 10.512 * [backup-simplify]: Simplify (sqrt 0) into 0 10.513 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.513 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 10.513 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.513 * [taylor]: Taking taylor expansion of 2.0 in im 10.513 * [backup-simplify]: Simplify 2.0 into 2.0 10.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.514 * [taylor]: Taking taylor expansion of im in im 10.514 * [backup-simplify]: Simplify 0 into 0 10.514 * [backup-simplify]: Simplify 1 into 1 10.514 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 10.514 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.514 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.514 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.515 * [taylor]: Taking taylor expansion of re in im 10.515 * [backup-simplify]: Simplify re into re 10.515 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.515 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.515 * [taylor]: Taking taylor expansion of re in im 10.515 * [backup-simplify]: Simplify re into re 10.515 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.515 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.515 * [taylor]: Taking taylor expansion of im in im 10.515 * [backup-simplify]: Simplify 0 into 0 10.515 * [backup-simplify]: Simplify 1 into 1 10.515 * [backup-simplify]: Simplify (* 1 1) into 1 10.515 * [backup-simplify]: Simplify (/ 1 1) into 1 10.516 * [backup-simplify]: Simplify (+ 0 1) into 1 10.516 * [backup-simplify]: Simplify (sqrt 1) into 1 10.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.517 * [backup-simplify]: Simplify (+ 0 0) into 0 10.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.518 * [backup-simplify]: Simplify (+ 0 1) into 1 10.518 * [backup-simplify]: Simplify (/ 1 1) into 1 10.518 * [backup-simplify]: Simplify (sqrt 0) into 0 10.519 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.519 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.519 * [taylor]: Taking taylor expansion of 0 in re 10.519 * [backup-simplify]: Simplify 0 into 0 10.519 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.521 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 10.521 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.521 * [taylor]: Taking taylor expansion of +nan.0 in re 10.521 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.521 * [taylor]: Taking taylor expansion of 2.0 in re 10.521 * [backup-simplify]: Simplify 2.0 into 2.0 10.522 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.523 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.524 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.524 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 10.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 10.525 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 10.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.528 * [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))))) 10.528 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.528 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.528 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.528 * [taylor]: Taking taylor expansion of +nan.0 in re 10.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.528 * [taylor]: Taking taylor expansion of 2.0 in re 10.528 * [backup-simplify]: Simplify 2.0 into 2.0 10.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.529 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.529 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.529 * [taylor]: Taking taylor expansion of +nan.0 in re 10.529 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.529 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.529 * [taylor]: Taking taylor expansion of 2.0 in re 10.529 * [backup-simplify]: Simplify 2.0 into 2.0 10.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.529 * [taylor]: Taking taylor expansion of re in re 10.529 * [backup-simplify]: Simplify 0 into 0 10.529 * [backup-simplify]: Simplify 1 into 1 10.530 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.531 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.532 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.532 * [backup-simplify]: Simplify (- 0) into 0 10.533 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.534 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.535 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.536 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.537 * [backup-simplify]: Simplify (- 0) into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.539 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.540 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.540 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 10.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.542 * [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)))) 10.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.546 * [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)))))))) 10.546 * [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 10.546 * [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 10.547 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.547 * [taylor]: Taking taylor expansion of +nan.0 in re 10.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.547 * [taylor]: Taking taylor expansion of 2.0 in re 10.547 * [backup-simplify]: Simplify 2.0 into 2.0 10.547 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.548 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 10.548 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 10.548 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.548 * [taylor]: Taking taylor expansion of +nan.0 in re 10.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.548 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.548 * [taylor]: Taking taylor expansion of 2.0 in re 10.548 * [backup-simplify]: Simplify 2.0 into 2.0 10.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.550 * [taylor]: Taking taylor expansion of re in re 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify 1 into 1 10.551 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.551 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 10.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 10.551 * [taylor]: Taking taylor expansion of +nan.0 in re 10.551 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.551 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 10.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.551 * [taylor]: Taking taylor expansion of 2.0 in re 10.551 * [backup-simplify]: Simplify 2.0 into 2.0 10.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.552 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.552 * [taylor]: Taking taylor expansion of re in re 10.552 * [backup-simplify]: Simplify 0 into 0 10.552 * [backup-simplify]: Simplify 1 into 1 10.552 * [backup-simplify]: Simplify (* 1 1) into 1 10.553 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.554 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.556 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.562 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.562 * [backup-simplify]: Simplify (- 0) into 0 10.563 * [backup-simplify]: Simplify (+ 0 0) into 0 10.563 * [backup-simplify]: Simplify (- 0) into 0 10.565 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.568 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.931 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.937 * [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)))))))) 10.937 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 10.937 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 10.937 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 10.937 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 10.937 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.937 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.937 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.937 * [taylor]: Taking taylor expansion of im in im 10.937 * [backup-simplify]: Simplify 0 into 0 10.937 * [backup-simplify]: Simplify 1 into 1 10.937 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.937 * [taylor]: Taking taylor expansion of re in im 10.937 * [backup-simplify]: Simplify re into re 10.937 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.937 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.938 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.938 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.938 * [backup-simplify]: Simplify (+ 0 0) into 0 10.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.938 * [taylor]: Taking taylor expansion of re in im 10.938 * [backup-simplify]: Simplify re into re 10.938 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 10.938 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.938 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.938 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.938 * [taylor]: Taking taylor expansion of im in re 10.938 * [backup-simplify]: Simplify im into im 10.938 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.938 * [taylor]: Taking taylor expansion of re in re 10.938 * [backup-simplify]: Simplify 0 into 0 10.938 * [backup-simplify]: Simplify 1 into 1 10.939 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.939 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.939 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.939 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.939 * [backup-simplify]: Simplify (+ 0 0) into 0 10.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.939 * [taylor]: Taking taylor expansion of re in re 10.939 * [backup-simplify]: Simplify 0 into 0 10.939 * [backup-simplify]: Simplify 1 into 1 10.939 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 10.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.939 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.940 * [taylor]: Taking taylor expansion of im in re 10.940 * [backup-simplify]: Simplify im into im 10.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.940 * [taylor]: Taking taylor expansion of re in re 10.940 * [backup-simplify]: Simplify 0 into 0 10.940 * [backup-simplify]: Simplify 1 into 1 10.940 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.940 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.941 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.941 * [backup-simplify]: Simplify (+ 0 0) into 0 10.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.941 * [taylor]: Taking taylor expansion of re in re 10.941 * [backup-simplify]: Simplify 0 into 0 10.941 * [backup-simplify]: Simplify 1 into 1 10.942 * [backup-simplify]: Simplify (- 0) into 0 10.942 * [backup-simplify]: Simplify (+ im 0) into im 10.942 * [taylor]: Taking taylor expansion of im in im 10.942 * [backup-simplify]: Simplify 0 into 0 10.942 * [backup-simplify]: Simplify 1 into 1 10.942 * [backup-simplify]: Simplify 0 into 0 10.942 * [backup-simplify]: Simplify (- 1) into -1 10.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.943 * [taylor]: Taking taylor expansion of -1 in im 10.943 * [backup-simplify]: Simplify -1 into -1 10.943 * [backup-simplify]: Simplify -1 into -1 10.943 * [backup-simplify]: Simplify 1 into 1 10.943 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.944 * [backup-simplify]: Simplify (* 1 1) into 1 10.944 * [backup-simplify]: Simplify (+ 0 1) into 1 10.945 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.945 * [backup-simplify]: Simplify (- 0) into 0 10.945 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 10.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.945 * [taylor]: Taking taylor expansion of 1/2 in im 10.945 * [backup-simplify]: Simplify 1/2 into 1/2 10.945 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.945 * [taylor]: Taking taylor expansion of im in im 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify 1 into 1 10.946 * [backup-simplify]: Simplify (/ 1 1) into 1 10.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.947 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.949 * [backup-simplify]: Simplify (+ 0 0) into 0 10.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.950 * [backup-simplify]: Simplify (- 0) into 0 10.950 * [backup-simplify]: Simplify (+ 0 0) into 0 10.950 * [taylor]: Taking taylor expansion of 0 in im 10.950 * [backup-simplify]: Simplify 0 into 0 10.950 * [backup-simplify]: Simplify 0 into 0 10.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.953 * [backup-simplify]: Simplify 0 into 0 10.953 * [backup-simplify]: Simplify 0 into 0 10.953 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 10.953 * [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)) 10.953 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 10.953 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.953 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.953 * [taylor]: Taking taylor expansion of re in im 10.953 * [backup-simplify]: Simplify re into re 10.953 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.953 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.954 * [taylor]: Taking taylor expansion of im in im 10.954 * [backup-simplify]: Simplify 0 into 0 10.954 * [backup-simplify]: Simplify 1 into 1 10.954 * [backup-simplify]: Simplify (* 1 1) into 1 10.954 * [backup-simplify]: Simplify (/ 1 1) into 1 10.955 * [backup-simplify]: Simplify (+ 0 1) into 1 10.955 * [backup-simplify]: Simplify (sqrt 1) into 1 10.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.957 * [backup-simplify]: Simplify (+ 0 0) into 0 10.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.958 * [taylor]: Taking taylor expansion of re in im 10.958 * [backup-simplify]: Simplify re into re 10.958 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.958 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.958 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.958 * [taylor]: Taking taylor expansion of re in re 10.958 * [backup-simplify]: Simplify 0 into 0 10.958 * [backup-simplify]: Simplify 1 into 1 10.959 * [backup-simplify]: Simplify (* 1 1) into 1 10.959 * [backup-simplify]: Simplify (/ 1 1) into 1 10.959 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.959 * [taylor]: Taking taylor expansion of im in re 10.959 * [backup-simplify]: Simplify im into im 10.959 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.959 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.960 * [backup-simplify]: Simplify (+ 1 0) into 1 10.960 * [backup-simplify]: Simplify (sqrt 1) into 1 10.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.962 * [backup-simplify]: Simplify (+ 0 0) into 0 10.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.963 * [taylor]: Taking taylor expansion of re in re 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 1 into 1 10.963 * [backup-simplify]: Simplify (/ 1 1) into 1 10.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.963 * [taylor]: Taking taylor expansion of re in re 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 1 into 1 10.964 * [backup-simplify]: Simplify (* 1 1) into 1 10.964 * [backup-simplify]: Simplify (/ 1 1) into 1 10.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.964 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.964 * [taylor]: Taking taylor expansion of im in re 10.964 * [backup-simplify]: Simplify im into im 10.964 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.965 * [backup-simplify]: Simplify (+ 1 0) into 1 10.965 * [backup-simplify]: Simplify (sqrt 1) into 1 10.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.967 * [backup-simplify]: Simplify (+ 0 0) into 0 10.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.968 * [taylor]: Taking taylor expansion of re in re 10.968 * [backup-simplify]: Simplify 0 into 0 10.968 * [backup-simplify]: Simplify 1 into 1 10.969 * [backup-simplify]: Simplify (/ 1 1) into 1 10.969 * [backup-simplify]: Simplify (- 1) into -1 10.969 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.969 * [taylor]: Taking taylor expansion of 0 in im 10.969 * [backup-simplify]: Simplify 0 into 0 10.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.971 * [backup-simplify]: Simplify (- 0) into 0 10.971 * [backup-simplify]: Simplify (+ 0 0) into 0 10.971 * [taylor]: Taking taylor expansion of 0 in im 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.973 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.974 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.976 * [backup-simplify]: Simplify (- 0) into 0 10.976 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.976 * [taylor]: Taking taylor expansion of 1/2 in im 10.976 * [backup-simplify]: Simplify 1/2 into 1/2 10.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.976 * [taylor]: Taking taylor expansion of im in im 10.976 * [backup-simplify]: Simplify 0 into 0 10.976 * [backup-simplify]: Simplify 1 into 1 10.976 * [backup-simplify]: Simplify (* 1 1) into 1 10.977 * [backup-simplify]: Simplify (/ 1 1) into 1 10.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.979 * [backup-simplify]: Simplify 0 into 0 10.979 * [backup-simplify]: Simplify 0 into 0 10.979 * [backup-simplify]: Simplify 0 into 0 10.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.982 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.983 * [backup-simplify]: Simplify (+ 0 0) into 0 10.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.985 * [backup-simplify]: Simplify (- 0) into 0 10.985 * [backup-simplify]: Simplify (+ 0 0) into 0 10.985 * [taylor]: Taking taylor expansion of 0 in im 10.985 * [backup-simplify]: Simplify 0 into 0 10.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.987 * [backup-simplify]: Simplify 0 into 0 10.987 * [backup-simplify]: Simplify 0 into 0 10.987 * [backup-simplify]: Simplify 0 into 0 10.988 * [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))))) 10.988 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 10.988 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.988 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.988 * [taylor]: Taking taylor expansion of re in im 10.988 * [backup-simplify]: Simplify re into re 10.988 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.988 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.988 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.988 * [taylor]: Taking taylor expansion of re in im 10.988 * [backup-simplify]: Simplify re into re 10.988 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.988 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.988 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.988 * [taylor]: Taking taylor expansion of im in im 10.988 * [backup-simplify]: Simplify 0 into 0 10.988 * [backup-simplify]: Simplify 1 into 1 10.988 * [backup-simplify]: Simplify (* 1 1) into 1 10.989 * [backup-simplify]: Simplify (/ 1 1) into 1 10.989 * [backup-simplify]: Simplify (+ 0 1) into 1 10.989 * [backup-simplify]: Simplify (sqrt 1) into 1 10.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.990 * [backup-simplify]: Simplify (+ 0 0) into 0 10.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.991 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.991 * [taylor]: Taking taylor expansion of re in re 10.991 * [backup-simplify]: Simplify 0 into 0 10.991 * [backup-simplify]: Simplify 1 into 1 10.991 * [backup-simplify]: Simplify (/ 1 1) into 1 10.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.991 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.991 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.991 * [taylor]: Taking taylor expansion of re in re 10.991 * [backup-simplify]: Simplify 0 into 0 10.991 * [backup-simplify]: Simplify 1 into 1 10.991 * [backup-simplify]: Simplify (* 1 1) into 1 10.991 * [backup-simplify]: Simplify (/ 1 1) into 1 10.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.992 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.992 * [taylor]: Taking taylor expansion of im in re 10.992 * [backup-simplify]: Simplify im into im 10.992 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.992 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.992 * [backup-simplify]: Simplify (+ 1 0) into 1 10.992 * [backup-simplify]: Simplify (sqrt 1) into 1 10.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.993 * [backup-simplify]: Simplify (+ 0 0) into 0 10.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.994 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.994 * [taylor]: Taking taylor expansion of re in re 10.994 * [backup-simplify]: Simplify 0 into 0 10.994 * [backup-simplify]: Simplify 1 into 1 10.994 * [backup-simplify]: Simplify (/ 1 1) into 1 10.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.994 * [taylor]: Taking taylor expansion of re in re 10.994 * [backup-simplify]: Simplify 0 into 0 10.994 * [backup-simplify]: Simplify 1 into 1 10.994 * [backup-simplify]: Simplify (* 1 1) into 1 10.995 * [backup-simplify]: Simplify (/ 1 1) into 1 10.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.995 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.995 * [taylor]: Taking taylor expansion of im in re 10.995 * [backup-simplify]: Simplify im into im 10.995 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.995 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.995 * [backup-simplify]: Simplify (+ 1 0) into 1 10.995 * [backup-simplify]: Simplify (sqrt 1) into 1 10.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.997 * [backup-simplify]: Simplify (+ 0 0) into 0 10.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.997 * [backup-simplify]: Simplify (+ 1 1) into 2 10.997 * [taylor]: Taking taylor expansion of 2 in im 10.997 * [backup-simplify]: Simplify 2 into 2 10.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.998 * [backup-simplify]: Simplify (+ 0 0) into 0 10.998 * [taylor]: Taking taylor expansion of 0 in im 10.998 * [backup-simplify]: Simplify 0 into 0 10.998 * [backup-simplify]: Simplify 2 into 2 10.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.000 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.001 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.001 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 11.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.001 * [taylor]: Taking taylor expansion of 1/2 in im 11.001 * [backup-simplify]: Simplify 1/2 into 1/2 11.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.001 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.001 * [taylor]: Taking taylor expansion of im in im 11.001 * [backup-simplify]: Simplify 0 into 0 11.001 * [backup-simplify]: Simplify 1 into 1 11.001 * [backup-simplify]: Simplify (* 1 1) into 1 11.001 * [backup-simplify]: Simplify (/ 1 1) into 1 11.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.005 * [backup-simplify]: Simplify (+ 0 0) into 0 11.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.006 * [backup-simplify]: Simplify (+ 0 0) into 0 11.006 * [taylor]: Taking taylor expansion of 0 in im 11.006 * [backup-simplify]: Simplify 0 into 0 11.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.007 * [backup-simplify]: Simplify 0 into 0 11.007 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 11.008 * * * [progress]: simplifying candidates 11.008 * * * * [progress]: [ 1 / 122 ] simplifiying candidate # 11.008 * * * * [progress]: [ 2 / 122 ] simplifiying candidate # 11.008 * * * * [progress]: [ 3 / 122 ] simplifiying candidate # 11.008 * * * * [progress]: [ 4 / 122 ] simplifiying candidate # 11.008 * * * * [progress]: [ 5 / 122 ] simplifiying candidate # 11.008 * * * * [progress]: [ 6 / 122 ] simplifiying candidate # 11.008 * * * * [progress]: [ 7 / 122 ] simplifiying candidate # 11.008 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 11.008 * * [simplify]: iters left: 6 (8 enodes) 11.010 * * [simplify]: iters left: 5 (26 enodes) 11.014 * * [simplify]: Extracting #0: cost 1 inf + 0 11.014 * * [simplify]: Extracting #1: cost 4 inf + 0 11.014 * * [simplify]: Extracting #2: cost 7 inf + 0 11.014 * * [simplify]: Extracting #3: cost 10 inf + 0 11.014 * * [simplify]: Extracting #4: cost 14 inf + 0 11.014 * * [simplify]: Extracting #5: cost 10 inf + 84 11.014 * * [simplify]: Extracting #6: cost 8 inf + 166 11.014 * * [simplify]: Extracting #7: cost 4 inf + 854 11.014 * * [simplify]: Extracting #8: cost 1 inf + 1540 11.015 * * [simplify]: Extracting #9: cost 0 inf + 1782 11.015 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 11.015 * [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))))) 11.015 * * * * [progress]: [ 8 / 122 ] simplifiying candidate # 11.015 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 11.015 * * [simplify]: iters left: 6 (7 enodes) 11.017 * * [simplify]: iters left: 5 (22 enodes) 11.019 * * [simplify]: Extracting #0: cost 1 inf + 0 11.020 * * [simplify]: Extracting #1: cost 3 inf + 0 11.020 * * [simplify]: Extracting #2: cost 5 inf + 0 11.020 * * [simplify]: Extracting #3: cost 8 inf + 0 11.020 * * [simplify]: Extracting #4: cost 12 inf + 0 11.020 * * [simplify]: Extracting #5: cost 10 inf + 2 11.020 * * [simplify]: Extracting #6: cost 1 inf + 936 11.020 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.020 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 11.020 * [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))))) 11.020 * * * * [progress]: [ 9 / 122 ] simplifiying candidate # 11.021 * [simplify]: Simplifying (sqrt 1) 11.021 * * [simplify]: iters left: 1 (2 enodes) 11.022 * * [simplify]: Extracting #0: cost 1 inf + 0 11.023 * * [simplify]: Extracting #1: cost 0 inf + 1 11.023 * [simplify]: Simplified to 1 11.023 * [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))))) 11.023 * * * * [progress]: [ 10 / 122 ] simplifiying candidate # 11.023 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 11.023 * * [simplify]: iters left: 6 (9 enodes) 11.026 * * [simplify]: iters left: 5 (45 enodes) 11.036 * * [simplify]: iters left: 4 (100 enodes) 11.063 * * [simplify]: iters left: 3 (201 enodes) 11.110 * * [simplify]: iters left: 2 (406 enodes) 11.241 * * [simplify]: Extracting #0: cost 1 inf + 0 11.242 * * [simplify]: Extracting #1: cost 3 inf + 0 11.242 * * [simplify]: Extracting #2: cost 6 inf + 0 11.242 * * [simplify]: Extracting #3: cost 62 inf + 0 11.243 * * [simplify]: Extracting #4: cost 166 inf + 460 11.246 * * [simplify]: Extracting #5: cost 131 inf + 12951 11.253 * * [simplify]: Extracting #6: cost 49 inf + 45746 11.263 * * [simplify]: Extracting #7: cost 1 inf + 66256 11.268 * * [simplify]: Extracting #8: cost 0 inf + 65919 11.273 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 11.273 * [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))))) 11.274 * * * * [progress]: [ 11 / 122 ] simplifiying candidate # 11.274 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 11.274 * * [simplify]: iters left: 6 (8 enodes) 11.276 * * [simplify]: iters left: 5 (37 enodes) 11.282 * * [simplify]: iters left: 4 (67 enodes) 11.296 * * [simplify]: iters left: 3 (123 enodes) 11.321 * * [simplify]: iters left: 2 (278 enodes) 11.416 * * [simplify]: Extracting #0: cost 1 inf + 0 11.416 * * [simplify]: Extracting #1: cost 3 inf + 0 11.416 * * [simplify]: Extracting #2: cost 50 inf + 0 11.417 * * [simplify]: Extracting #3: cost 150 inf + 0 11.419 * * [simplify]: Extracting #4: cost 194 inf + 1180 11.424 * * [simplify]: Extracting #5: cost 123 inf + 12421 11.439 * * [simplify]: Extracting #6: cost 12 inf + 33804 11.454 * * [simplify]: Extracting #7: cost 0 inf + 36129 11.468 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 11.468 * [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))))) 11.469 * * * * [progress]: [ 12 / 122 ] simplifiying candidate # 11.469 * [simplify]: Simplifying (+ (* re re) (* im im)) 11.469 * * [simplify]: iters left: 4 (5 enodes) 11.471 * * [simplify]: iters left: 3 (16 enodes) 11.476 * * [simplify]: Extracting #0: cost 1 inf + 0 11.476 * * [simplify]: Extracting #1: cost 4 inf + 0 11.476 * * [simplify]: Extracting #2: cost 8 inf + 0 11.476 * * [simplify]: Extracting #3: cost 4 inf + 84 11.476 * * [simplify]: Extracting #4: cost 0 inf + 410 11.477 * [simplify]: Simplified to (+ (* re re) (* im im)) 11.477 * [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))))) 11.477 * * * * [progress]: [ 13 / 122 ] simplifiying candidate # 11.477 * * * * [progress]: [ 14 / 122 ] simplifiying candidate # 11.477 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 11.477 * * [simplify]: iters left: 5 (6 enodes) 11.480 * * [simplify]: iters left: 4 (19 enodes) 11.485 * * [simplify]: Extracting #0: cost 1 inf + 0 11.485 * * [simplify]: Extracting #1: cost 3 inf + 0 11.485 * * [simplify]: Extracting #2: cost 6 inf + 0 11.485 * * [simplify]: Extracting #3: cost 10 inf + 0 11.485 * * [simplify]: Extracting #4: cost 6 inf + 84 11.485 * * [simplify]: Extracting #5: cost 0 inf + 734 11.486 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 11.486 * [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))))) 11.486 * * * * [progress]: [ 15 / 122 ] simplifiying candidate # 11.486 * * * * [progress]: [ 16 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 11.486 * * * * [progress]: [ 17 / 122 ] simplifiying candidate # 11.486 * * * * [progress]: [ 18 / 122 ] simplifiying candidate # 11.486 * * * * [progress]: [ 19 / 122 ] simplifiying candidate # 11.486 * * * * [progress]: [ 20 / 122 ] simplifiying candidate # 11.486 * * * * [progress]: [ 21 / 122 ] simplifiying candidate # 11.487 * * * * [progress]: [ 22 / 122 ] simplifiying candidate # 11.487 * * * * [progress]: [ 23 / 122 ] simplifiying candidate # 11.487 * [simplify]: Simplifying (sqrt 2.0) 11.487 * * [simplify]: iters left: 1 (2 enodes) 11.489 * * [simplify]: Extracting #0: cost 1 inf + 0 11.489 * * [simplify]: Extracting #1: cost 3 inf + 0 11.489 * * [simplify]: Extracting #2: cost 2 inf + 1 11.489 * * [simplify]: Extracting #3: cost 0 inf + 83 11.489 * [simplify]: Simplified to (sqrt 2.0) 11.489 * [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))))) 11.489 * * * * [progress]: [ 24 / 122 ] simplifiying candidate # 11.490 * [simplify]: Simplifying (* 2.0 (* im im)) 11.490 * * [simplify]: iters left: 4 (4 enodes) 11.492 * * [simplify]: iters left: 3 (15 enodes) 11.497 * * [simplify]: iters left: 2 (19 enodes) 11.503 * * [simplify]: Extracting #0: cost 1 inf + 0 11.503 * * [simplify]: Extracting #1: cost 6 inf + 0 11.503 * * [simplify]: Extracting #2: cost 5 inf + 43 11.503 * * [simplify]: Extracting #3: cost 0 inf + 332 11.503 * [simplify]: Simplified to (* 2.0 (* im im)) 11.503 * [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))))) 11.504 * * * * [progress]: [ 25 / 122 ] simplifiying candidate # 11.504 * [simplify]: Simplifying (* 2.0 (* im im)) 11.504 * * [simplify]: iters left: 4 (4 enodes) 11.506 * * [simplify]: iters left: 3 (15 enodes) 11.511 * * [simplify]: iters left: 2 (19 enodes) 11.517 * * [simplify]: Extracting #0: cost 1 inf + 0 11.517 * * [simplify]: Extracting #1: cost 6 inf + 0 11.517 * * [simplify]: Extracting #2: cost 5 inf + 43 11.517 * * [simplify]: Extracting #3: cost 0 inf + 332 11.518 * [simplify]: Simplified to (* 2.0 (* im im)) 11.518 * [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))))) 11.518 * * * * [progress]: [ 26 / 122 ] simplifiying candidate # 11.518 * [simplify]: Simplifying (* 2.0 (* im im)) 11.518 * * [simplify]: iters left: 4 (4 enodes) 11.521 * * [simplify]: iters left: 3 (15 enodes) 11.524 * * [simplify]: iters left: 2 (19 enodes) 11.527 * * [simplify]: Extracting #0: cost 1 inf + 0 11.527 * * [simplify]: Extracting #1: cost 6 inf + 0 11.527 * * [simplify]: Extracting #2: cost 5 inf + 43 11.527 * * [simplify]: Extracting #3: cost 0 inf + 332 11.527 * [simplify]: Simplified to (* 2.0 (* im im)) 11.527 * [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))))) 11.527 * * * * [progress]: [ 27 / 122 ] simplifiying candidate # 11.527 * * * * [progress]: [ 28 / 122 ] simplifiying candidate # 11.528 * * * * [progress]: [ 29 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 11.528 * * * * [progress]: [ 30 / 122 ] simplifiying candidate # 11.528 * * * * [progress]: [ 31 / 122 ] simplifiying candidate # 11.528 * [simplify]: Simplifying (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 11.528 * * [simplify]: iters left: 6 (14 enodes) 11.531 * * [simplify]: iters left: 5 (50 enodes) 11.539 * * [simplify]: iters left: 4 (60 enodes) 11.547 * * [simplify]: Extracting #0: cost 1 inf + 0 11.547 * * [simplify]: Extracting #1: cost 5 inf + 0 11.548 * * [simplify]: Extracting #2: cost 10 inf + 0 11.548 * * [simplify]: Extracting #3: cost 14 inf + 0 11.548 * * [simplify]: Extracting #4: cost 23 inf + 0 11.548 * * [simplify]: Extracting #5: cost 24 inf + 44 11.548 * * [simplify]: Extracting #6: cost 17 inf + 729 11.548 * * [simplify]: Extracting #7: cost 13 inf + 1368 11.549 * * [simplify]: Extracting #8: cost 4 inf + 3396 11.549 * * [simplify]: Extracting #9: cost 0 inf + 4915 11.550 * [simplify]: Simplified to (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 11.550 * [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))))))) 11.550 * * * * [progress]: [ 32 / 122 ] simplifiying candidate # 11.550 * * * * [progress]: [ 33 / 122 ] simplifiying candidate # 11.550 * * * * [progress]: [ 34 / 122 ] simplifiying candidate # 11.551 * [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)))) 11.551 * * [simplify]: iters left: 6 (16 enodes) 11.559 * * [simplify]: iters left: 5 (59 enodes) 11.582 * * [simplify]: iters left: 4 (145 enodes) 11.653 * * [simplify]: iters left: 3 (477 enodes) 11.983 * * [simplify]: Extracting #0: cost 1 inf + 0 11.983 * * [simplify]: Extracting #1: cost 139 inf + 0 11.985 * * [simplify]: Extracting #2: cost 309 inf + 168 11.989 * * [simplify]: Extracting #3: cost 339 inf + 1766 11.994 * * [simplify]: Extracting #4: cost 313 inf + 5320 11.999 * * [simplify]: Extracting #5: cost 307 inf + 6547 12.002 * * [simplify]: Extracting #6: cost 286 inf + 12012 12.013 * * [simplify]: Extracting #7: cost 173 inf + 51082 12.045 * * [simplify]: Extracting #8: cost 31 inf + 108716 12.101 * * [simplify]: Extracting #9: cost 0 inf + 122824 12.140 * [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)))) 12.140 * [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))))))) 12.140 * * * * [progress]: [ 35 / 122 ] simplifiying candidate # 12.140 * * * * [progress]: [ 36 / 122 ] simplifiying candidate # 12.140 * * * * [progress]: [ 37 / 122 ] simplifiying candidate # 12.141 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 12.141 * * [simplify]: iters left: 6 (10 enodes) 12.146 * * [simplify]: iters left: 5 (38 enodes) 12.158 * * [simplify]: iters left: 4 (57 enodes) 12.175 * * [simplify]: iters left: 3 (84 enodes) 12.202 * * [simplify]: iters left: 2 (124 enodes) 12.237 * * [simplify]: iters left: 1 (145 enodes) 12.274 * * [simplify]: Extracting #0: cost 1 inf + 0 12.274 * * [simplify]: Extracting #1: cost 16 inf + 0 12.274 * * [simplify]: Extracting #2: cost 40 inf + 2 12.275 * * [simplify]: Extracting #3: cost 46 inf + 375 12.275 * * [simplify]: Extracting #4: cost 36 inf + 1320 12.277 * * [simplify]: Extracting #5: cost 23 inf + 3790 12.281 * * [simplify]: Extracting #6: cost 0 inf + 8845 12.285 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 12.285 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) 12.285 * * * * [progress]: [ 38 / 122 ] simplifiying candidate # 12.285 * * * * [progress]: [ 39 / 122 ] simplifiying candidate # 12.285 * * * * [progress]: [ 40 / 122 ] simplifiying candidate # 12.285 * [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))))) 12.286 * * [simplify]: iters left: 6 (16 enodes) 12.293 * * [simplify]: iters left: 5 (60 enodes) 12.311 * * [simplify]: iters left: 4 (82 enodes) 12.329 * * [simplify]: iters left: 3 (89 enodes) 12.341 * * [simplify]: iters left: 2 (92 enodes) 12.353 * * [simplify]: Extracting #0: cost 1 inf + 0 12.353 * * [simplify]: Extracting #1: cost 11 inf + 0 12.353 * * [simplify]: Extracting #2: cost 22 inf + 0 12.353 * * [simplify]: Extracting #3: cost 26 inf + 0 12.353 * * [simplify]: Extracting #4: cost 35 inf + 0 12.353 * * [simplify]: Extracting #5: cost 37 inf + 3 12.354 * * [simplify]: Extracting #6: cost 29 inf + 739 12.354 * * [simplify]: Extracting #7: cost 25 inf + 1588 12.354 * * [simplify]: Extracting #8: cost 23 inf + 1751 12.355 * * [simplify]: Extracting #9: cost 16 inf + 3165 12.356 * * [simplify]: Extracting #10: cost 1 inf + 10566 12.359 * * [simplify]: Extracting #11: cost 0 inf + 11049 12.363 * [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))))) 12.363 * [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))))))) 12.364 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.364 * * [simplify]: iters left: 6 (14 enodes) 12.370 * * [simplify]: iters left: 5 (48 enodes) 12.383 * * [simplify]: iters left: 4 (55 enodes) 12.391 * * [simplify]: Extracting #0: cost 1 inf + 0 12.391 * * [simplify]: Extracting #1: cost 4 inf + 0 12.391 * * [simplify]: Extracting #2: cost 8 inf + 0 12.391 * * [simplify]: Extracting #3: cost 12 inf + 0 12.392 * * [simplify]: Extracting #4: cost 21 inf + 0 12.392 * * [simplify]: Extracting #5: cost 22 inf + 44 12.392 * * [simplify]: Extracting #6: cost 14 inf + 861 12.392 * * [simplify]: Extracting #7: cost 10 inf + 1510 12.393 * * [simplify]: Extracting #8: cost 2 inf + 3526 12.393 * * [simplify]: Extracting #9: cost 0 inf + 4291 12.394 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.394 * [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))))))) 12.394 * * * * [progress]: [ 41 / 122 ] simplifiying candidate # 12.394 * [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))))) 12.394 * * [simplify]: iters left: 6 (16 enodes) 12.398 * * [simplify]: iters left: 5 (57 enodes) 12.407 * * [simplify]: iters left: 4 (68 enodes) 12.417 * * [simplify]: iters left: 3 (71 enodes) 12.437 * * [simplify]: Extracting #0: cost 1 inf + 0 12.437 * * [simplify]: Extracting #1: cost 7 inf + 0 12.437 * * [simplify]: Extracting #2: cost 15 inf + 0 12.437 * * [simplify]: Extracting #3: cost 20 inf + 0 12.437 * * [simplify]: Extracting #4: cost 29 inf + 0 12.437 * * [simplify]: Extracting #5: cost 30 inf + 44 12.438 * * [simplify]: Extracting #6: cost 22 inf + 861 12.438 * * [simplify]: Extracting #7: cost 18 inf + 1710 12.439 * * [simplify]: Extracting #8: cost 10 inf + 3205 12.441 * * [simplify]: Extracting #9: cost 3 inf + 6102 12.443 * * [simplify]: Extracting #10: cost 0 inf + 7671 12.445 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.445 * [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))))))) 12.446 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.446 * * [simplify]: iters left: 6 (14 enodes) 12.452 * * [simplify]: iters left: 5 (48 enodes) 12.466 * * [simplify]: iters left: 4 (55 enodes) 12.480 * * [simplify]: Extracting #0: cost 1 inf + 0 12.480 * * [simplify]: Extracting #1: cost 4 inf + 0 12.480 * * [simplify]: Extracting #2: cost 8 inf + 0 12.480 * * [simplify]: Extracting #3: cost 12 inf + 0 12.480 * * [simplify]: Extracting #4: cost 21 inf + 0 12.480 * * [simplify]: Extracting #5: cost 22 inf + 44 12.480 * * [simplify]: Extracting #6: cost 14 inf + 861 12.481 * * [simplify]: Extracting #7: cost 10 inf + 1510 12.481 * * [simplify]: Extracting #8: cost 2 inf + 3566 12.482 * * [simplify]: Extracting #9: cost 0 inf + 4371 12.483 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.483 * [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))))))) 12.483 * * * * [progress]: [ 42 / 122 ] simplifiying candidate # 12.483 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.483 * * [simplify]: iters left: 6 (15 enodes) 12.486 * * [simplify]: iters left: 5 (53 enodes) 12.494 * * [simplify]: iters left: 4 (64 enodes) 12.504 * * [simplify]: iters left: 3 (67 enodes) 12.521 * * [simplify]: Extracting #0: cost 1 inf + 0 12.521 * * [simplify]: Extracting #1: cost 7 inf + 0 12.521 * * [simplify]: Extracting #2: cost 14 inf + 0 12.521 * * [simplify]: Extracting #3: cost 18 inf + 0 12.521 * * [simplify]: Extracting #4: cost 27 inf + 0 12.521 * * [simplify]: Extracting #5: cost 29 inf + 3 12.522 * * [simplify]: Extracting #6: cost 20 inf + 941 12.523 * * [simplify]: Extracting #7: cost 15 inf + 1832 12.524 * * [simplify]: Extracting #8: cost 7 inf + 3407 12.525 * * [simplify]: Extracting #9: cost 2 inf + 5661 12.527 * * [simplify]: Extracting #10: cost 0 inf + 6627 12.529 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.529 * [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))))))) 12.530 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.530 * * [simplify]: iters left: 6 (14 enodes) 12.536 * * [simplify]: iters left: 5 (48 enodes) 12.551 * * [simplify]: iters left: 4 (55 enodes) 12.566 * * [simplify]: Extracting #0: cost 1 inf + 0 12.566 * * [simplify]: Extracting #1: cost 4 inf + 0 12.566 * * [simplify]: Extracting #2: cost 8 inf + 0 12.566 * * [simplify]: Extracting #3: cost 12 inf + 0 12.566 * * [simplify]: Extracting #4: cost 21 inf + 0 12.566 * * [simplify]: Extracting #5: cost 22 inf + 44 12.567 * * [simplify]: Extracting #6: cost 14 inf + 861 12.567 * * [simplify]: Extracting #7: cost 10 inf + 1510 12.568 * * [simplify]: Extracting #8: cost 2 inf + 3406 12.569 * * [simplify]: Extracting #9: cost 0 inf + 4131 12.571 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.571 * [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))))))) 12.571 * * * * [progress]: [ 43 / 122 ] simplifiying candidate # 12.571 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 12.571 * * [simplify]: iters left: 6 (10 enodes) 12.578 * * [simplify]: iters left: 5 (37 enodes) 12.589 * * [simplify]: iters left: 4 (47 enodes) 12.602 * * [simplify]: iters left: 3 (51 enodes) 12.615 * * [simplify]: iters left: 2 (52 enodes) 12.628 * * [simplify]: Extracting #0: cost 1 inf + 0 12.628 * * [simplify]: Extracting #1: cost 5 inf + 0 12.628 * * [simplify]: Extracting #2: cost 7 inf + 1 12.628 * * [simplify]: Extracting #3: cost 9 inf + 1 12.628 * * [simplify]: Extracting #4: cost 14 inf + 1 12.628 * * [simplify]: Extracting #5: cost 14 inf + 3 12.629 * * [simplify]: Extracting #6: cost 8 inf + 333 12.629 * * [simplify]: Extracting #7: cost 3 inf + 1223 12.630 * * [simplify]: Extracting #8: cost 0 inf + 1951 12.630 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 12.630 * [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)))))) 12.631 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.631 * * [simplify]: iters left: 6 (13 enodes) 12.637 * * [simplify]: iters left: 5 (45 enodes) 12.649 * * [simplify]: iters left: 4 (52 enodes) 12.663 * * [simplify]: Extracting #0: cost 1 inf + 0 12.663 * * [simplify]: Extracting #1: cost 4 inf + 0 12.663 * * [simplify]: Extracting #2: cost 8 inf + 0 12.663 * * [simplify]: Extracting #3: cost 14 inf + 0 12.664 * * [simplify]: Extracting #4: cost 20 inf + 42 12.664 * * [simplify]: Extracting #5: cost 21 inf + 85 12.664 * * [simplify]: Extracting #6: cost 13 inf + 940 12.665 * * [simplify]: Extracting #7: cost 1 inf + 3044 12.666 * * [simplify]: Extracting #8: cost 0 inf + 3487 12.667 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.667 * [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)))))) 12.667 * * * * [progress]: [ 44 / 122 ] simplifiying candidate # 12.668 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 12.668 * * [simplify]: iters left: 6 (16 enodes) 12.675 * * [simplify]: iters left: 5 (55 enodes) 12.691 * * [simplify]: iters left: 4 (63 enodes) 12.710 * * [simplify]: iters left: 3 (66 enodes) 12.727 * * [simplify]: Extracting #0: cost 1 inf + 0 12.727 * * [simplify]: Extracting #1: cost 7 inf + 0 12.727 * * [simplify]: Extracting #2: cost 14 inf + 0 12.727 * * [simplify]: Extracting #3: cost 19 inf + 0 12.727 * * [simplify]: Extracting #4: cost 28 inf + 0 12.728 * * [simplify]: Extracting #5: cost 28 inf + 44 12.728 * * [simplify]: Extracting #6: cost 23 inf + 615 12.728 * * [simplify]: Extracting #7: cost 16 inf + 1710 12.729 * * [simplify]: Extracting #8: cost 10 inf + 2681 12.731 * * [simplify]: Extracting #9: cost 3 inf + 5418 12.733 * * [simplify]: Extracting #10: cost 0 inf + 7027 12.735 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 12.735 * [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))))))) 12.736 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 12.736 * * [simplify]: iters left: 6 (15 enodes) 12.742 * * [simplify]: iters left: 5 (51 enodes) 12.757 * * [simplify]: iters left: 4 (58 enodes) 12.772 * * [simplify]: Extracting #0: cost 1 inf + 0 12.772 * * [simplify]: Extracting #1: cost 4 inf + 0 12.772 * * [simplify]: Extracting #2: cost 8 inf + 0 12.773 * * [simplify]: Extracting #3: cost 14 inf + 0 12.773 * * [simplify]: Extracting #4: cost 24 inf + 0 12.773 * * [simplify]: Extracting #5: cost 21 inf + 247 12.773 * * [simplify]: Extracting #6: cost 15 inf + 981 12.774 * * [simplify]: Extracting #7: cost 10 inf + 1672 12.775 * * [simplify]: Extracting #8: cost 3 inf + 3165 12.776 * * [simplify]: Extracting #9: cost 0 inf + 4533 12.777 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 12.777 * [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))))))) 12.778 * * * * [progress]: [ 45 / 122 ] simplifiying candidate # 12.778 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 12.778 * * [simplify]: iters left: 6 (16 enodes) 12.785 * * [simplify]: iters left: 5 (55 enodes) 12.800 * * [simplify]: iters left: 4 (63 enodes) 12.817 * * [simplify]: iters left: 3 (66 enodes) 12.834 * * [simplify]: Extracting #0: cost 1 inf + 0 12.834 * * [simplify]: Extracting #1: cost 7 inf + 0 12.834 * * [simplify]: Extracting #2: cost 14 inf + 0 12.834 * * [simplify]: Extracting #3: cost 19 inf + 0 12.835 * * [simplify]: Extracting #4: cost 28 inf + 0 12.835 * * [simplify]: Extracting #5: cost 28 inf + 44 12.835 * * [simplify]: Extracting #6: cost 23 inf + 615 12.836 * * [simplify]: Extracting #7: cost 16 inf + 1710 12.837 * * [simplify]: Extracting #8: cost 10 inf + 2681 12.838 * * [simplify]: Extracting #9: cost 3 inf + 5418 12.839 * * [simplify]: Extracting #10: cost 0 inf + 7027 12.841 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 12.841 * [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))))))) 12.841 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 12.841 * * [simplify]: iters left: 6 (15 enodes) 12.846 * * [simplify]: iters left: 5 (51 enodes) 12.853 * * [simplify]: iters left: 4 (58 enodes) 12.861 * * [simplify]: Extracting #0: cost 1 inf + 0 12.861 * * [simplify]: Extracting #1: cost 4 inf + 0 12.861 * * [simplify]: Extracting #2: cost 8 inf + 0 12.861 * * [simplify]: Extracting #3: cost 14 inf + 0 12.861 * * [simplify]: Extracting #4: cost 24 inf + 0 12.861 * * [simplify]: Extracting #5: cost 21 inf + 247 12.861 * * [simplify]: Extracting #6: cost 15 inf + 981 12.862 * * [simplify]: Extracting #7: cost 10 inf + 1672 12.862 * * [simplify]: Extracting #8: cost 3 inf + 3165 12.863 * * [simplify]: Extracting #9: cost 0 inf + 4533 12.864 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 12.864 * [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))))))) 12.864 * * * * [progress]: [ 46 / 122 ] simplifiying candidate # 12.864 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 12.864 * * [simplify]: iters left: 6 (10 enodes) 12.868 * * [simplify]: iters left: 5 (37 enodes) 12.879 * * [simplify]: iters left: 4 (47 enodes) 12.888 * * [simplify]: iters left: 3 (51 enodes) 12.895 * * [simplify]: iters left: 2 (52 enodes) 12.901 * * [simplify]: Extracting #0: cost 1 inf + 0 12.901 * * [simplify]: Extracting #1: cost 5 inf + 0 12.901 * * [simplify]: Extracting #2: cost 7 inf + 1 12.901 * * [simplify]: Extracting #3: cost 9 inf + 1 12.902 * * [simplify]: Extracting #4: cost 14 inf + 1 12.902 * * [simplify]: Extracting #5: cost 14 inf + 3 12.902 * * [simplify]: Extracting #6: cost 8 inf + 333 12.902 * * [simplify]: Extracting #7: cost 3 inf + 1223 12.902 * * [simplify]: Extracting #8: cost 0 inf + 1951 12.903 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 12.903 * [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)))))) 12.903 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.903 * * [simplify]: iters left: 6 (13 enodes) 12.906 * * [simplify]: iters left: 5 (45 enodes) 12.915 * * [simplify]: iters left: 4 (52 enodes) 12.928 * * [simplify]: Extracting #0: cost 1 inf + 0 12.928 * * [simplify]: Extracting #1: cost 4 inf + 0 12.928 * * [simplify]: Extracting #2: cost 8 inf + 0 12.928 * * [simplify]: Extracting #3: cost 14 inf + 0 12.928 * * [simplify]: Extracting #4: cost 20 inf + 42 12.928 * * [simplify]: Extracting #5: cost 21 inf + 85 12.928 * * [simplify]: Extracting #6: cost 13 inf + 940 12.929 * * [simplify]: Extracting #7: cost 1 inf + 3044 12.929 * * [simplify]: Extracting #8: cost 0 inf + 3487 12.930 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.930 * [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)))))) 12.930 * * * * [progress]: [ 47 / 122 ] simplifiying candidate # 12.930 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.930 * * [simplify]: iters left: 6 (15 enodes) 12.934 * * [simplify]: iters left: 5 (53 enodes) 12.944 * * [simplify]: iters left: 4 (64 enodes) 12.953 * * [simplify]: iters left: 3 (67 enodes) 12.962 * * [simplify]: Extracting #0: cost 1 inf + 0 12.962 * * [simplify]: Extracting #1: cost 7 inf + 0 12.962 * * [simplify]: Extracting #2: cost 14 inf + 0 12.962 * * [simplify]: Extracting #3: cost 18 inf + 0 12.962 * * [simplify]: Extracting #4: cost 27 inf + 0 12.962 * * [simplify]: Extracting #5: cost 29 inf + 3 12.962 * * [simplify]: Extracting #6: cost 20 inf + 941 12.963 * * [simplify]: Extracting #7: cost 15 inf + 1832 12.963 * * [simplify]: Extracting #8: cost 7 inf + 3407 12.964 * * [simplify]: Extracting #9: cost 2 inf + 5661 12.965 * * [simplify]: Extracting #10: cost 0 inf + 6627 12.966 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.966 * [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))))))) 12.967 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.967 * * [simplify]: iters left: 6 (14 enodes) 12.973 * * [simplify]: iters left: 5 (48 enodes) 12.987 * * [simplify]: iters left: 4 (55 enodes) 13.001 * * [simplify]: Extracting #0: cost 1 inf + 0 13.001 * * [simplify]: Extracting #1: cost 4 inf + 0 13.001 * * [simplify]: Extracting #2: cost 8 inf + 0 13.001 * * [simplify]: Extracting #3: cost 12 inf + 0 13.001 * * [simplify]: Extracting #4: cost 21 inf + 0 13.001 * * [simplify]: Extracting #5: cost 22 inf + 44 13.001 * * [simplify]: Extracting #6: cost 14 inf + 861 13.001 * * [simplify]: Extracting #7: cost 10 inf + 1510 13.002 * * [simplify]: Extracting #8: cost 2 inf + 3406 13.003 * * [simplify]: Extracting #9: cost 0 inf + 4131 13.003 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.003 * [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))))))) 13.003 * * * * [progress]: [ 48 / 122 ] simplifiying candidate # 13.004 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) 13.004 * * [simplify]: iters left: 6 (9 enodes) 13.006 * * [simplify]: iters left: 5 (32 enodes) 13.012 * * [simplify]: iters left: 4 (46 enodes) 13.018 * * [simplify]: iters left: 3 (47 enodes) 13.025 * * [simplify]: Extracting #0: cost 1 inf + 0 13.025 * * [simplify]: Extracting #1: cost 5 inf + 0 13.025 * * [simplify]: Extracting #2: cost 7 inf + 1 13.025 * * [simplify]: Extracting #3: cost 9 inf + 1 13.025 * * [simplify]: Extracting #4: cost 14 inf + 1 13.025 * * [simplify]: Extracting #5: cost 14 inf + 3 13.025 * * [simplify]: Extracting #6: cost 11 inf + 168 13.025 * * [simplify]: Extracting #7: cost 4 inf + 1022 13.026 * * [simplify]: Extracting #8: cost 0 inf + 1951 13.026 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 13.026 * [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)))))) 13.026 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.027 * * [simplify]: iters left: 6 (13 enodes) 13.032 * * [simplify]: iters left: 5 (45 enodes) 13.048 * * [simplify]: iters left: 4 (52 enodes) 13.062 * * [simplify]: Extracting #0: cost 1 inf + 0 13.062 * * [simplify]: Extracting #1: cost 4 inf + 0 13.062 * * [simplify]: Extracting #2: cost 8 inf + 0 13.062 * * [simplify]: Extracting #3: cost 14 inf + 0 13.062 * * [simplify]: Extracting #4: cost 20 inf + 42 13.063 * * [simplify]: Extracting #5: cost 21 inf + 85 13.063 * * [simplify]: Extracting #6: cost 13 inf + 940 13.064 * * [simplify]: Extracting #7: cost 1 inf + 3044 13.065 * * [simplify]: Extracting #8: cost 0 inf + 3487 13.066 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.066 * [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)))))) 13.066 * * * * [progress]: [ 49 / 122 ] simplifiying candidate # 13.067 * [simplify]: Simplifying (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.067 * * [simplify]: iters left: 6 (13 enodes) 13.073 * * [simplify]: iters left: 5 (44 enodes) 13.086 * * [simplify]: iters left: 4 (49 enodes) 13.093 * * [simplify]: Extracting #0: cost 1 inf + 0 13.093 * * [simplify]: Extracting #1: cost 6 inf + 0 13.093 * * [simplify]: Extracting #2: cost 12 inf + 0 13.093 * * [simplify]: Extracting #3: cost 13 inf + 1 13.093 * * [simplify]: Extracting #4: cost 16 inf + 42 13.093 * * [simplify]: Extracting #5: cost 16 inf + 125 13.093 * * [simplify]: Extracting #6: cost 18 inf + 166 13.093 * * [simplify]: Extracting #7: cost 20 inf + 207 13.094 * * [simplify]: Extracting #8: cost 17 inf + 290 13.094 * * [simplify]: Extracting #9: cost 10 inf + 1343 13.094 * * [simplify]: Extracting #10: cost 2 inf + 4001 13.095 * * [simplify]: Extracting #11: cost 0 inf + 4847 13.096 * [simplify]: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.096 * [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))))))) 13.096 * [simplify]: Simplifying (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.096 * * [simplify]: iters left: 6 (11 enodes) 13.099 * * [simplify]: iters left: 5 (37 enodes) 13.104 * * [simplify]: iters left: 4 (40 enodes) 13.109 * * [simplify]: Extracting #0: cost 1 inf + 0 13.109 * * [simplify]: Extracting #1: cost 4 inf + 0 13.109 * * [simplify]: Extracting #2: cost 9 inf + 0 13.109 * * [simplify]: Extracting #3: cost 11 inf + 1 13.109 * * [simplify]: Extracting #4: cost 11 inf + 165 13.109 * * [simplify]: Extracting #5: cost 13 inf + 166 13.109 * * [simplify]: Extracting #6: cost 13 inf + 248 13.109 * * [simplify]: Extracting #7: cost 11 inf + 533 13.110 * * [simplify]: Extracting #8: cost 6 inf + 1302 13.110 * * [simplify]: Extracting #9: cost 2 inf + 2430 13.110 * * [simplify]: Extracting #10: cost 1 inf + 2832 13.111 * * [simplify]: Extracting #11: cost 0 inf + 3234 13.111 * [simplify]: Simplified to (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 13.112 * [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))))))) 13.112 * * * * [progress]: [ 50 / 122 ] simplifiying candidate # 13.112 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.112 * * [simplify]: iters left: 6 (13 enodes) 13.116 * * [simplify]: iters left: 5 (43 enodes) 13.128 * * [simplify]: iters left: 4 (46 enodes) 13.141 * * [simplify]: Extracting #0: cost 1 inf + 0 13.141 * * [simplify]: Extracting #1: cost 4 inf + 0 13.141 * * [simplify]: Extracting #2: cost 9 inf + 0 13.141 * * [simplify]: Extracting #3: cost 11 inf + 1 13.141 * * [simplify]: Extracting #4: cost 13 inf + 83 13.141 * * [simplify]: Extracting #5: cost 14 inf + 125 13.142 * * [simplify]: Extracting #6: cost 16 inf + 166 13.142 * * [simplify]: Extracting #7: cost 18 inf + 207 13.142 * * [simplify]: Extracting #8: cost 14 inf + 331 13.143 * * [simplify]: Extracting #9: cost 8 inf + 1383 13.144 * * [simplify]: Extracting #10: cost 1 inf + 3558 13.145 * * [simplify]: Extracting #11: cost 0 inf + 3961 13.146 * [simplify]: Simplified to (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.146 * [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))))))) 13.147 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.147 * * [simplify]: iters left: 6 (11 enodes) 13.149 * * [simplify]: iters left: 5 (37 enodes) 13.154 * * [simplify]: iters left: 4 (40 enodes) 13.161 * * [simplify]: Extracting #0: cost 1 inf + 0 13.161 * * [simplify]: Extracting #1: cost 4 inf + 0 13.161 * * [simplify]: Extracting #2: cost 9 inf + 0 13.161 * * [simplify]: Extracting #3: cost 11 inf + 1 13.161 * * [simplify]: Extracting #4: cost 11 inf + 165 13.161 * * [simplify]: Extracting #5: cost 13 inf + 166 13.161 * * [simplify]: Extracting #6: cost 13 inf + 248 13.161 * * [simplify]: Extracting #7: cost 11 inf + 533 13.161 * * [simplify]: Extracting #8: cost 6 inf + 1302 13.162 * * [simplify]: Extracting #9: cost 2 inf + 2510 13.162 * * [simplify]: Extracting #10: cost 1 inf + 2912 13.163 * * [simplify]: Extracting #11: cost 0 inf + 3314 13.163 * [simplify]: Simplified to (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 13.163 * [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))))))) 13.163 * * * * [progress]: [ 51 / 122 ] simplifiying candidate # 13.164 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.164 * * [simplify]: iters left: 6 (12 enodes) 13.167 * * [simplify]: iters left: 5 (39 enodes) 13.173 * * [simplify]: iters left: 4 (42 enodes) 13.179 * * [simplify]: Extracting #0: cost 1 inf + 0 13.179 * * [simplify]: Extracting #1: cost 4 inf + 0 13.179 * * [simplify]: Extracting #2: cost 8 inf + 0 13.179 * * [simplify]: Extracting #3: cost 9 inf + 1 13.179 * * [simplify]: Extracting #4: cost 11 inf + 83 13.179 * * [simplify]: Extracting #5: cost 12 inf + 125 13.179 * * [simplify]: Extracting #6: cost 14 inf + 166 13.179 * * [simplify]: Extracting #7: cost 16 inf + 207 13.180 * * [simplify]: Extracting #8: cost 13 inf + 290 13.180 * * [simplify]: Extracting #9: cost 8 inf + 899 13.180 * * [simplify]: Extracting #10: cost 4 inf + 1787 13.181 * * [simplify]: Extracting #11: cost 1 inf + 2714 13.182 * * [simplify]: Extracting #12: cost 0 inf + 3077 13.183 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.183 * [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))))))) 13.184 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.184 * * [simplify]: iters left: 6 (11 enodes) 13.188 * * [simplify]: iters left: 5 (37 enodes) 13.198 * * [simplify]: iters left: 4 (40 enodes) 13.209 * * [simplify]: Extracting #0: cost 1 inf + 0 13.209 * * [simplify]: Extracting #1: cost 4 inf + 0 13.210 * * [simplify]: Extracting #2: cost 9 inf + 0 13.210 * * [simplify]: Extracting #3: cost 11 inf + 1 13.210 * * [simplify]: Extracting #4: cost 11 inf + 165 13.210 * * [simplify]: Extracting #5: cost 13 inf + 166 13.210 * * [simplify]: Extracting #6: cost 13 inf + 248 13.210 * * [simplify]: Extracting #7: cost 11 inf + 533 13.211 * * [simplify]: Extracting #8: cost 6 inf + 1302 13.212 * * [simplify]: Extracting #9: cost 2 inf + 2350 13.212 * * [simplify]: Extracting #10: cost 1 inf + 2712 13.213 * * [simplify]: Extracting #11: cost 0 inf + 3074 13.214 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 13.214 * [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))))))) 13.215 * * * * [progress]: [ 52 / 122 ] simplifiying candidate # 13.215 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 13.215 * * [simplify]: iters left: 3 (5 enodes) 13.220 * * [simplify]: iters left: 2 (17 enodes) 13.226 * * [simplify]: iters left: 1 (19 enodes) 13.231 * * [simplify]: Extracting #0: cost 1 inf + 0 13.231 * * [simplify]: Extracting #1: cost 4 inf + 0 13.231 * * [simplify]: Extracting #2: cost 2 inf + 2 13.232 * * [simplify]: Extracting #3: cost 0 inf + 84 13.232 * [simplify]: Simplified to (sqrt 2.0) 13.232 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 13.232 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.232 * * [simplify]: iters left: 6 (10 enodes) 13.236 * * [simplify]: iters left: 5 (34 enodes) 13.245 * * [simplify]: iters left: 4 (37 enodes) 13.255 * * [simplify]: Extracting #0: cost 1 inf + 0 13.255 * * [simplify]: Extracting #1: cost 4 inf + 0 13.255 * * [simplify]: Extracting #2: cost 9 inf + 0 13.255 * * [simplify]: Extracting #3: cost 13 inf + 1 13.255 * * [simplify]: Extracting #4: cost 10 inf + 207 13.255 * * [simplify]: Extracting #5: cost 11 inf + 248 13.256 * * [simplify]: Extracting #6: cost 9 inf + 533 13.256 * * [simplify]: Extracting #7: cost 5 inf + 1100 13.257 * * [simplify]: Extracting #8: cost 1 inf + 2108 13.258 * * [simplify]: Extracting #9: cost 0 inf + 2430 13.258 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 13.258 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 13.259 * * * * [progress]: [ 53 / 122 ] simplifiying candidate # 13.259 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.259 * * [simplify]: iters left: 6 (13 enodes) 13.265 * * [simplify]: iters left: 5 (41 enodes) 13.277 * * [simplify]: Extracting #0: cost 1 inf + 0 13.277 * * [simplify]: Extracting #1: cost 4 inf + 0 13.277 * * [simplify]: Extracting #2: cost 8 inf + 0 13.277 * * [simplify]: Extracting #3: cost 10 inf + 1 13.277 * * [simplify]: Extracting #4: cost 12 inf + 83 13.277 * * [simplify]: Extracting #5: cost 12 inf + 125 13.277 * * [simplify]: Extracting #6: cost 14 inf + 166 13.278 * * [simplify]: Extracting #7: cost 16 inf + 207 13.278 * * [simplify]: Extracting #8: cost 13 inf + 290 13.278 * * [simplify]: Extracting #9: cost 10 inf + 615 13.279 * * [simplify]: Extracting #10: cost 5 inf + 1705 13.280 * * [simplify]: Extracting #11: cost 1 inf + 2914 13.281 * * [simplify]: Extracting #12: cost 0 inf + 3317 13.282 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.282 * [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))))))) 13.282 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.282 * * [simplify]: iters left: 6 (12 enodes) 13.286 * * [simplify]: iters left: 5 (40 enodes) 13.291 * * [simplify]: iters left: 4 (43 enodes) 13.297 * * [simplify]: Extracting #0: cost 1 inf + 0 13.297 * * [simplify]: Extracting #1: cost 4 inf + 0 13.297 * * [simplify]: Extracting #2: cost 9 inf + 0 13.298 * * [simplify]: Extracting #3: cost 13 inf + 1 13.298 * * [simplify]: Extracting #4: cost 15 inf + 124 13.298 * * [simplify]: Extracting #5: cost 15 inf + 166 13.298 * * [simplify]: Extracting #6: cost 14 inf + 329 13.298 * * [simplify]: Extracting #7: cost 12 inf + 573 13.298 * * [simplify]: Extracting #8: cost 6 inf + 1544 13.299 * * [simplify]: Extracting #9: cost 0 inf + 3476 13.299 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 13.299 * [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))))))) 13.299 * * * * [progress]: [ 54 / 122 ] simplifiying candidate # 13.300 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.300 * * [simplify]: iters left: 6 (13 enodes) 13.303 * * [simplify]: iters left: 5 (41 enodes) 13.309 * * [simplify]: Extracting #0: cost 1 inf + 0 13.309 * * [simplify]: Extracting #1: cost 4 inf + 0 13.309 * * [simplify]: Extracting #2: cost 8 inf + 0 13.309 * * [simplify]: Extracting #3: cost 10 inf + 1 13.310 * * [simplify]: Extracting #4: cost 12 inf + 83 13.310 * * [simplify]: Extracting #5: cost 12 inf + 125 13.310 * * [simplify]: Extracting #6: cost 14 inf + 166 13.310 * * [simplify]: Extracting #7: cost 16 inf + 207 13.310 * * [simplify]: Extracting #8: cost 13 inf + 290 13.310 * * [simplify]: Extracting #9: cost 10 inf + 615 13.310 * * [simplify]: Extracting #10: cost 5 inf + 1705 13.311 * * [simplify]: Extracting #11: cost 1 inf + 2914 13.311 * * [simplify]: Extracting #12: cost 0 inf + 3317 13.312 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.312 * [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))))))) 13.312 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.312 * * [simplify]: iters left: 6 (12 enodes) 13.315 * * [simplify]: iters left: 5 (40 enodes) 13.320 * * [simplify]: iters left: 4 (43 enodes) 13.327 * * [simplify]: Extracting #0: cost 1 inf + 0 13.327 * * [simplify]: Extracting #1: cost 4 inf + 0 13.328 * * [simplify]: Extracting #2: cost 9 inf + 0 13.328 * * [simplify]: Extracting #3: cost 13 inf + 1 13.328 * * [simplify]: Extracting #4: cost 15 inf + 124 13.328 * * [simplify]: Extracting #5: cost 15 inf + 166 13.328 * * [simplify]: Extracting #6: cost 14 inf + 329 13.328 * * [simplify]: Extracting #7: cost 12 inf + 573 13.329 * * [simplify]: Extracting #8: cost 6 inf + 1544 13.330 * * [simplify]: Extracting #9: cost 0 inf + 3476 13.331 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 13.331 * [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))))))) 13.331 * * * * [progress]: [ 55 / 122 ] simplifiying candidate # 13.332 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 13.332 * * [simplify]: iters left: 3 (5 enodes) 13.337 * * [simplify]: iters left: 2 (17 enodes) 13.342 * * [simplify]: iters left: 1 (19 enodes) 13.348 * * [simplify]: Extracting #0: cost 1 inf + 0 13.348 * * [simplify]: Extracting #1: cost 4 inf + 0 13.349 * * [simplify]: Extracting #2: cost 2 inf + 2 13.349 * * [simplify]: Extracting #3: cost 0 inf + 84 13.349 * [simplify]: Simplified to (sqrt 2.0) 13.349 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 13.349 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.349 * * [simplify]: iters left: 6 (10 enodes) 13.354 * * [simplify]: iters left: 5 (34 enodes) 13.362 * * [simplify]: iters left: 4 (37 enodes) 13.372 * * [simplify]: Extracting #0: cost 1 inf + 0 13.372 * * [simplify]: Extracting #1: cost 4 inf + 0 13.372 * * [simplify]: Extracting #2: cost 9 inf + 0 13.372 * * [simplify]: Extracting #3: cost 13 inf + 1 13.372 * * [simplify]: Extracting #4: cost 10 inf + 207 13.372 * * [simplify]: Extracting #5: cost 11 inf + 248 13.372 * * [simplify]: Extracting #6: cost 9 inf + 533 13.373 * * [simplify]: Extracting #7: cost 5 inf + 1100 13.373 * * [simplify]: Extracting #8: cost 1 inf + 2108 13.374 * * [simplify]: Extracting #9: cost 0 inf + 2430 13.375 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 13.375 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 13.375 * * * * [progress]: [ 56 / 122 ] simplifiying candidate # 13.376 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.376 * * [simplify]: iters left: 6 (12 enodes) 13.381 * * [simplify]: iters left: 5 (39 enodes) 13.393 * * [simplify]: iters left: 4 (42 enodes) 13.408 * * [simplify]: Extracting #0: cost 1 inf + 0 13.408 * * [simplify]: Extracting #1: cost 4 inf + 0 13.408 * * [simplify]: Extracting #2: cost 8 inf + 0 13.408 * * [simplify]: Extracting #3: cost 9 inf + 1 13.408 * * [simplify]: Extracting #4: cost 11 inf + 83 13.408 * * [simplify]: Extracting #5: cost 12 inf + 125 13.408 * * [simplify]: Extracting #6: cost 14 inf + 166 13.408 * * [simplify]: Extracting #7: cost 16 inf + 207 13.409 * * [simplify]: Extracting #8: cost 13 inf + 290 13.409 * * [simplify]: Extracting #9: cost 8 inf + 899 13.410 * * [simplify]: Extracting #10: cost 4 inf + 1787 13.410 * * [simplify]: Extracting #11: cost 1 inf + 2714 13.411 * * [simplify]: Extracting #12: cost 0 inf + 3077 13.411 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.412 * [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))))))) 13.412 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.412 * * [simplify]: iters left: 6 (11 enodes) 13.414 * * [simplify]: iters left: 5 (37 enodes) 13.419 * * [simplify]: iters left: 4 (40 enodes) 13.424 * * [simplify]: Extracting #0: cost 1 inf + 0 13.425 * * [simplify]: Extracting #1: cost 4 inf + 0 13.425 * * [simplify]: Extracting #2: cost 9 inf + 0 13.425 * * [simplify]: Extracting #3: cost 11 inf + 1 13.425 * * [simplify]: Extracting #4: cost 11 inf + 165 13.425 * * [simplify]: Extracting #5: cost 13 inf + 166 13.425 * * [simplify]: Extracting #6: cost 13 inf + 248 13.425 * * [simplify]: Extracting #7: cost 11 inf + 533 13.425 * * [simplify]: Extracting #8: cost 6 inf + 1302 13.426 * * [simplify]: Extracting #9: cost 2 inf + 2350 13.426 * * [simplify]: Extracting #10: cost 1 inf + 2712 13.427 * * [simplify]: Extracting #11: cost 0 inf + 3074 13.427 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 13.427 * [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))))))) 13.427 * * * * [progress]: [ 57 / 122 ] simplifiying candidate # 13.427 * [simplify]: Simplifying (/ (sqrt 2.0) 1) 13.427 * * [simplify]: iters left: 3 (4 enodes) 13.429 * * [simplify]: iters left: 2 (12 enodes) 13.431 * * [simplify]: iters left: 1 (14 enodes) 13.434 * * [simplify]: Extracting #0: cost 1 inf + 0 13.434 * * [simplify]: Extracting #1: cost 4 inf + 0 13.434 * * [simplify]: Extracting #2: cost 0 inf + 84 13.434 * [simplify]: Simplified to (sqrt 2.0) 13.434 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 13.434 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.434 * * [simplify]: iters left: 6 (10 enodes) 13.437 * * [simplify]: iters left: 5 (34 enodes) 13.441 * * [simplify]: iters left: 4 (37 enodes) 13.449 * * [simplify]: Extracting #0: cost 1 inf + 0 13.449 * * [simplify]: Extracting #1: cost 4 inf + 0 13.449 * * [simplify]: Extracting #2: cost 9 inf + 0 13.449 * * [simplify]: Extracting #3: cost 13 inf + 1 13.449 * * [simplify]: Extracting #4: cost 10 inf + 207 13.449 * * [simplify]: Extracting #5: cost 11 inf + 248 13.449 * * [simplify]: Extracting #6: cost 9 inf + 533 13.450 * * [simplify]: Extracting #7: cost 5 inf + 1100 13.451 * * [simplify]: Extracting #8: cost 1 inf + 2108 13.451 * * [simplify]: Extracting #9: cost 0 inf + 2430 13.452 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 13.452 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 13.452 * * * * [progress]: [ 58 / 122 ] simplifiying candidate # 13.453 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.453 * * [simplify]: iters left: 6 (15 enodes) 13.460 * * [simplify]: iters left: 5 (53 enodes) 13.475 * * [simplify]: iters left: 4 (62 enodes) 13.492 * * [simplify]: Extracting #0: cost 1 inf + 0 13.492 * * [simplify]: Extracting #1: cost 6 inf + 0 13.492 * * [simplify]: Extracting #2: cost 12 inf + 0 13.492 * * [simplify]: Extracting #3: cost 16 inf + 0 13.492 * * [simplify]: Extracting #4: cost 25 inf + 0 13.492 * * [simplify]: Extracting #5: cost 27 inf + 3 13.493 * * [simplify]: Extracting #6: cost 19 inf + 819 13.493 * * [simplify]: Extracting #7: cost 14 inf + 1470 13.494 * * [simplify]: Extracting #8: cost 5 inf + 3567 13.496 * * [simplify]: Extracting #9: cost 0 inf + 5901 13.498 * [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))))) 13.498 * [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))))))) 13.499 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.499 * * [simplify]: iters left: 6 (14 enodes) 13.505 * * [simplify]: iters left: 5 (48 enodes) 13.513 * * [simplify]: iters left: 4 (55 enodes) 13.522 * * [simplify]: Extracting #0: cost 1 inf + 0 13.522 * * [simplify]: Extracting #1: cost 4 inf + 0 13.522 * * [simplify]: Extracting #2: cost 8 inf + 0 13.522 * * [simplify]: Extracting #3: cost 12 inf + 0 13.522 * * [simplify]: Extracting #4: cost 21 inf + 0 13.523 * * [simplify]: Extracting #5: cost 22 inf + 44 13.523 * * [simplify]: Extracting #6: cost 14 inf + 821 13.523 * * [simplify]: Extracting #7: cost 10 inf + 1430 13.523 * * [simplify]: Extracting #8: cost 2 inf + 3406 13.524 * * [simplify]: Extracting #9: cost 0 inf + 4131 13.525 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.525 * [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))))))) 13.525 * * * * [progress]: [ 59 / 122 ] simplifiying candidate # 13.525 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.525 * * [simplify]: iters left: 6 (15 enodes) 13.529 * * [simplify]: iters left: 5 (52 enodes) 13.537 * * [simplify]: iters left: 4 (59 enodes) 13.553 * * [simplify]: Extracting #0: cost 1 inf + 0 13.553 * * [simplify]: Extracting #1: cost 4 inf + 0 13.553 * * [simplify]: Extracting #2: cost 9 inf + 0 13.553 * * [simplify]: Extracting #3: cost 14 inf + 0 13.553 * * [simplify]: Extracting #4: cost 23 inf + 0 13.554 * * [simplify]: Extracting #5: cost 24 inf + 44 13.554 * * [simplify]: Extracting #6: cost 19 inf + 575 13.554 * * [simplify]: Extracting #7: cost 13 inf + 1308 13.555 * * [simplify]: Extracting #8: cost 5 inf + 2963 13.557 * * [simplify]: Extracting #9: cost 0 inf + 4855 13.558 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.559 * [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))))))) 13.559 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.559 * * [simplify]: iters left: 6 (14 enodes) 13.565 * * [simplify]: iters left: 5 (48 enodes) 13.579 * * [simplify]: iters left: 4 (55 enodes) 13.594 * * [simplify]: Extracting #0: cost 1 inf + 0 13.594 * * [simplify]: Extracting #1: cost 4 inf + 0 13.594 * * [simplify]: Extracting #2: cost 8 inf + 0 13.594 * * [simplify]: Extracting #3: cost 12 inf + 0 13.594 * * [simplify]: Extracting #4: cost 21 inf + 0 13.594 * * [simplify]: Extracting #5: cost 22 inf + 44 13.594 * * [simplify]: Extracting #6: cost 14 inf + 821 13.595 * * [simplify]: Extracting #7: cost 10 inf + 1430 13.596 * * [simplify]: Extracting #8: cost 2 inf + 3446 13.597 * * [simplify]: Extracting #9: cost 0 inf + 4211 13.598 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.599 * [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))))))) 13.599 * * * * [progress]: [ 60 / 122 ] simplifiying candidate # 13.599 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.599 * * [simplify]: iters left: 6 (14 enodes) 13.606 * * [simplify]: iters left: 5 (48 enodes) 13.620 * * [simplify]: iters left: 4 (55 enodes) 13.635 * * [simplify]: Extracting #0: cost 1 inf + 0 13.635 * * [simplify]: Extracting #1: cost 4 inf + 0 13.635 * * [simplify]: Extracting #2: cost 8 inf + 0 13.635 * * [simplify]: Extracting #3: cost 12 inf + 0 13.635 * * [simplify]: Extracting #4: cost 21 inf + 0 13.635 * * [simplify]: Extracting #5: cost 22 inf + 44 13.636 * * [simplify]: Extracting #6: cost 14 inf + 821 13.636 * * [simplify]: Extracting #7: cost 10 inf + 1430 13.637 * * [simplify]: Extracting #8: cost 2 inf + 3286 13.639 * * [simplify]: Extracting #9: cost 0 inf + 3971 13.640 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.640 * [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))))))) 13.640 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.640 * * [simplify]: iters left: 6 (14 enodes) 13.649 * * [simplify]: iters left: 5 (48 enodes) 13.663 * * [simplify]: iters left: 4 (55 enodes) 13.671 * * [simplify]: Extracting #0: cost 1 inf + 0 13.671 * * [simplify]: Extracting #1: cost 4 inf + 0 13.671 * * [simplify]: Extracting #2: cost 8 inf + 0 13.671 * * [simplify]: Extracting #3: cost 12 inf + 0 13.671 * * [simplify]: Extracting #4: cost 21 inf + 0 13.671 * * [simplify]: Extracting #5: cost 22 inf + 44 13.671 * * [simplify]: Extracting #6: cost 14 inf + 821 13.671 * * [simplify]: Extracting #7: cost 10 inf + 1430 13.672 * * [simplify]: Extracting #8: cost 2 inf + 3286 13.673 * * [simplify]: Extracting #9: cost 0 inf + 3971 13.673 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.673 * [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))))))) 13.673 * * * * [progress]: [ 61 / 122 ] simplifiying candidate # 13.674 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 13.674 * * [simplify]: iters left: 6 (9 enodes) 13.677 * * [simplify]: iters left: 5 (32 enodes) 13.683 * * [simplify]: iters left: 4 (38 enodes) 13.688 * * [simplify]: iters left: 3 (40 enodes) 13.694 * * [simplify]: Extracting #0: cost 1 inf + 0 13.694 * * [simplify]: Extracting #1: cost 4 inf + 0 13.694 * * [simplify]: Extracting #2: cost 5 inf + 1 13.694 * * [simplify]: Extracting #3: cost 10 inf + 1 13.694 * * [simplify]: Extracting #4: cost 10 inf + 3 13.694 * * [simplify]: Extracting #5: cost 6 inf + 209 13.694 * * [simplify]: Extracting #6: cost 1 inf + 779 13.694 * * [simplify]: Extracting #7: cost 0 inf + 901 13.695 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 13.695 * [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)))))) 13.695 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.695 * * [simplify]: iters left: 6 (13 enodes) 13.701 * * [simplify]: iters left: 5 (45 enodes) 13.714 * * [simplify]: iters left: 4 (52 enodes) 13.724 * * [simplify]: Extracting #0: cost 1 inf + 0 13.724 * * [simplify]: Extracting #1: cost 4 inf + 0 13.724 * * [simplify]: Extracting #2: cost 8 inf + 0 13.724 * * [simplify]: Extracting #3: cost 14 inf + 0 13.724 * * [simplify]: Extracting #4: cost 20 inf + 42 13.724 * * [simplify]: Extracting #5: cost 21 inf + 85 13.725 * * [simplify]: Extracting #6: cost 13 inf + 900 13.725 * * [simplify]: Extracting #7: cost 1 inf + 2924 13.726 * * [simplify]: Extracting #8: cost 0 inf + 3327 13.726 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.726 * [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)))))) 13.726 * * * * [progress]: [ 62 / 122 ] simplifiying candidate # 13.727 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.727 * * [simplify]: iters left: 6 (15 enodes) 13.730 * * [simplify]: iters left: 5 (50 enodes) 13.737 * * [simplify]: iters left: 4 (54 enodes) 13.747 * * [simplify]: Extracting #0: cost 1 inf + 0 13.747 * * [simplify]: Extracting #1: cost 4 inf + 0 13.747 * * [simplify]: Extracting #2: cost 8 inf + 0 13.747 * * [simplify]: Extracting #3: cost 13 inf + 0 13.747 * * [simplify]: Extracting #4: cost 22 inf + 0 13.747 * * [simplify]: Extracting #5: cost 22 inf + 44 13.747 * * [simplify]: Extracting #6: cost 17 inf + 575 13.748 * * [simplify]: Extracting #7: cost 11 inf + 1308 13.749 * * [simplify]: Extracting #8: cost 4 inf + 2641 13.750 * * [simplify]: Extracting #9: cost 0 inf + 4211 13.753 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 13.753 * [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))))))) 13.754 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.754 * * [simplify]: iters left: 6 (15 enodes) 13.760 * * [simplify]: iters left: 5 (51 enodes) 13.768 * * [simplify]: iters left: 4 (58 enodes) 13.777 * * [simplify]: Extracting #0: cost 1 inf + 0 13.777 * * [simplify]: Extracting #1: cost 4 inf + 0 13.777 * * [simplify]: Extracting #2: cost 8 inf + 0 13.777 * * [simplify]: Extracting #3: cost 14 inf + 0 13.777 * * [simplify]: Extracting #4: cost 24 inf + 0 13.777 * * [simplify]: Extracting #5: cost 21 inf + 247 13.777 * * [simplify]: Extracting #6: cost 15 inf + 941 13.777 * * [simplify]: Extracting #7: cost 10 inf + 1592 13.778 * * [simplify]: Extracting #8: cost 3 inf + 3085 13.779 * * [simplify]: Extracting #9: cost 0 inf + 4373 13.779 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.779 * [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))))))) 13.780 * * * * [progress]: [ 63 / 122 ] simplifiying candidate # 13.780 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.780 * * [simplify]: iters left: 6 (15 enodes) 13.783 * * [simplify]: iters left: 5 (50 enodes) 13.794 * * [simplify]: iters left: 4 (54 enodes) 13.809 * * [simplify]: Extracting #0: cost 1 inf + 0 13.809 * * [simplify]: Extracting #1: cost 4 inf + 0 13.809 * * [simplify]: Extracting #2: cost 8 inf + 0 13.809 * * [simplify]: Extracting #3: cost 13 inf + 0 13.809 * * [simplify]: Extracting #4: cost 22 inf + 0 13.810 * * [simplify]: Extracting #5: cost 22 inf + 44 13.810 * * [simplify]: Extracting #6: cost 17 inf + 575 13.810 * * [simplify]: Extracting #7: cost 11 inf + 1308 13.811 * * [simplify]: Extracting #8: cost 4 inf + 2641 13.813 * * [simplify]: Extracting #9: cost 0 inf + 4211 13.814 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 13.814 * [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))))))) 13.814 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.815 * * [simplify]: iters left: 6 (15 enodes) 13.820 * * [simplify]: iters left: 5 (51 enodes) 13.828 * * [simplify]: iters left: 4 (58 enodes) 13.836 * * [simplify]: Extracting #0: cost 1 inf + 0 13.836 * * [simplify]: Extracting #1: cost 4 inf + 0 13.836 * * [simplify]: Extracting #2: cost 8 inf + 0 13.836 * * [simplify]: Extracting #3: cost 14 inf + 0 13.836 * * [simplify]: Extracting #4: cost 24 inf + 0 13.836 * * [simplify]: Extracting #5: cost 21 inf + 247 13.836 * * [simplify]: Extracting #6: cost 15 inf + 941 13.836 * * [simplify]: Extracting #7: cost 10 inf + 1592 13.837 * * [simplify]: Extracting #8: cost 3 inf + 3085 13.838 * * [simplify]: Extracting #9: cost 0 inf + 4373 13.838 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.838 * [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))))))) 13.838 * * * * [progress]: [ 64 / 122 ] simplifiying candidate # 13.839 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 13.839 * * [simplify]: iters left: 6 (9 enodes) 13.842 * * [simplify]: iters left: 5 (32 enodes) 13.847 * * [simplify]: iters left: 4 (38 enodes) 13.854 * * [simplify]: iters left: 3 (40 enodes) 13.859 * * [simplify]: Extracting #0: cost 1 inf + 0 13.859 * * [simplify]: Extracting #1: cost 4 inf + 0 13.859 * * [simplify]: Extracting #2: cost 5 inf + 1 13.859 * * [simplify]: Extracting #3: cost 10 inf + 1 13.859 * * [simplify]: Extracting #4: cost 10 inf + 3 13.859 * * [simplify]: Extracting #5: cost 6 inf + 209 13.859 * * [simplify]: Extracting #6: cost 1 inf + 779 13.860 * * [simplify]: Extracting #7: cost 0 inf + 901 13.860 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 13.860 * [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)))))) 13.860 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.860 * * [simplify]: iters left: 6 (13 enodes) 13.863 * * [simplify]: iters left: 5 (45 enodes) 13.870 * * [simplify]: iters left: 4 (52 enodes) 13.877 * * [simplify]: Extracting #0: cost 1 inf + 0 13.878 * * [simplify]: Extracting #1: cost 4 inf + 0 13.878 * * [simplify]: Extracting #2: cost 8 inf + 0 13.878 * * [simplify]: Extracting #3: cost 14 inf + 0 13.878 * * [simplify]: Extracting #4: cost 20 inf + 42 13.878 * * [simplify]: Extracting #5: cost 21 inf + 85 13.878 * * [simplify]: Extracting #6: cost 13 inf + 900 13.878 * * [simplify]: Extracting #7: cost 1 inf + 2924 13.879 * * [simplify]: Extracting #8: cost 0 inf + 3327 13.880 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.880 * [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)))))) 13.880 * * * * [progress]: [ 65 / 122 ] simplifiying candidate # 13.880 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.880 * * [simplify]: iters left: 6 (14 enodes) 13.883 * * [simplify]: iters left: 5 (48 enodes) 13.890 * * [simplify]: iters left: 4 (55 enodes) 13.905 * * [simplify]: Extracting #0: cost 1 inf + 0 13.905 * * [simplify]: Extracting #1: cost 4 inf + 0 13.905 * * [simplify]: Extracting #2: cost 8 inf + 0 13.905 * * [simplify]: Extracting #3: cost 12 inf + 0 13.905 * * [simplify]: Extracting #4: cost 21 inf + 0 13.906 * * [simplify]: Extracting #5: cost 22 inf + 44 13.906 * * [simplify]: Extracting #6: cost 14 inf + 821 13.906 * * [simplify]: Extracting #7: cost 10 inf + 1430 13.907 * * [simplify]: Extracting #8: cost 2 inf + 3286 13.909 * * [simplify]: Extracting #9: cost 0 inf + 3971 13.910 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.910 * [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))))))) 13.910 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.911 * * [simplify]: iters left: 6 (14 enodes) 13.917 * * [simplify]: iters left: 5 (48 enodes) 13.931 * * [simplify]: iters left: 4 (55 enodes) 13.943 * * [simplify]: Extracting #0: cost 1 inf + 0 13.943 * * [simplify]: Extracting #1: cost 4 inf + 0 13.943 * * [simplify]: Extracting #2: cost 8 inf + 0 13.943 * * [simplify]: Extracting #3: cost 12 inf + 0 13.943 * * [simplify]: Extracting #4: cost 21 inf + 0 13.943 * * [simplify]: Extracting #5: cost 22 inf + 44 13.943 * * [simplify]: Extracting #6: cost 14 inf + 821 13.944 * * [simplify]: Extracting #7: cost 10 inf + 1430 13.944 * * [simplify]: Extracting #8: cost 2 inf + 3286 13.945 * * [simplify]: Extracting #9: cost 0 inf + 3971 13.945 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.945 * [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))))))) 13.946 * * * * [progress]: [ 66 / 122 ] simplifiying candidate # 13.946 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) 13.946 * * [simplify]: iters left: 6 (8 enodes) 13.948 * * [simplify]: iters left: 5 (27 enodes) 13.953 * * [simplify]: iters left: 4 (33 enodes) 13.960 * * [simplify]: Extracting #0: cost 1 inf + 0 13.960 * * [simplify]: Extracting #1: cost 4 inf + 0 13.960 * * [simplify]: Extracting #2: cost 5 inf + 1 13.960 * * [simplify]: Extracting #3: cost 10 inf + 1 13.960 * * [simplify]: Extracting #4: cost 9 inf + 44 13.960 * * [simplify]: Extracting #5: cost 5 inf + 251 13.960 * * [simplify]: Extracting #6: cost 1 inf + 739 13.960 * * [simplify]: Extracting #7: cost 0 inf + 901 13.960 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 13.961 * [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)))))) 13.961 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.961 * * [simplify]: iters left: 6 (13 enodes) 13.964 * * [simplify]: iters left: 5 (45 enodes) 13.971 * * [simplify]: iters left: 4 (52 enodes) 13.978 * * [simplify]: Extracting #0: cost 1 inf + 0 13.978 * * [simplify]: Extracting #1: cost 4 inf + 0 13.978 * * [simplify]: Extracting #2: cost 8 inf + 0 13.978 * * [simplify]: Extracting #3: cost 14 inf + 0 13.978 * * [simplify]: Extracting #4: cost 20 inf + 42 13.979 * * [simplify]: Extracting #5: cost 21 inf + 85 13.979 * * [simplify]: Extracting #6: cost 13 inf + 900 13.979 * * [simplify]: Extracting #7: cost 1 inf + 2924 13.980 * * [simplify]: Extracting #8: cost 0 inf + 3327 13.980 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 13.980 * [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)))))) 13.981 * * * * [progress]: [ 67 / 122 ] simplifiying candidate # 13.981 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.981 * * [simplify]: iters left: 6 (12 enodes) 13.984 * * [simplify]: iters left: 5 (43 enodes) 13.994 * * [simplify]: iters left: 4 (50 enodes) 14.008 * * [simplify]: Extracting #0: cost 1 inf + 0 14.008 * * [simplify]: Extracting #1: cost 6 inf + 0 14.008 * * [simplify]: Extracting #2: cost 9 inf + 1 14.008 * * [simplify]: Extracting #3: cost 11 inf + 1 14.008 * * [simplify]: Extracting #4: cost 15 inf + 1 14.008 * * [simplify]: Extracting #5: cost 17 inf + 2 14.008 * * [simplify]: Extracting #6: cost 18 inf + 84 14.009 * * [simplify]: Extracting #7: cost 20 inf + 125 14.009 * * [simplify]: Extracting #8: cost 15 inf + 371 14.010 * * [simplify]: Extracting #9: cost 7 inf + 2027 14.011 * * [simplify]: Extracting #10: cost 1 inf + 4243 14.012 * * [simplify]: Extracting #11: cost 0 inf + 4605 14.014 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.014 * [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))))))) 14.014 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.014 * * [simplify]: iters left: 6 (13 enodes) 14.021 * * [simplify]: iters left: 5 (45 enodes) 14.034 * * [simplify]: iters left: 4 (52 enodes) 14.048 * * [simplify]: Extracting #0: cost 1 inf + 0 14.048 * * [simplify]: Extracting #1: cost 4 inf + 0 14.048 * * [simplify]: Extracting #2: cost 8 inf + 0 14.048 * * [simplify]: Extracting #3: cost 15 inf + 0 14.048 * * [simplify]: Extracting #4: cost 19 inf + 2 14.048 * * [simplify]: Extracting #5: cost 17 inf + 209 14.048 * * [simplify]: Extracting #6: cost 14 inf + 537 14.049 * * [simplify]: Extracting #7: cost 9 inf + 1308 14.049 * * [simplify]: Extracting #8: cost 1 inf + 3284 14.050 * * [simplify]: Extracting #9: cost 0 inf + 3727 14.050 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 14.051 * [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))))))) 14.051 * * * * [progress]: [ 68 / 122 ] simplifiying candidate # 14.051 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 14.051 * * [simplify]: iters left: 6 (12 enodes) 14.054 * * [simplify]: iters left: 5 (42 enodes) 14.060 * * [simplify]: iters left: 4 (47 enodes) 14.068 * * [simplify]: Extracting #0: cost 1 inf + 0 14.068 * * [simplify]: Extracting #1: cost 4 inf + 0 14.069 * * [simplify]: Extracting #2: cost 6 inf + 1 14.069 * * [simplify]: Extracting #3: cost 9 inf + 1 14.069 * * [simplify]: Extracting #4: cost 13 inf + 1 14.069 * * [simplify]: Extracting #5: cost 14 inf + 43 14.069 * * [simplify]: Extracting #6: cost 16 inf + 84 14.069 * * [simplify]: Extracting #7: cost 18 inf + 125 14.069 * * [simplify]: Extracting #8: cost 16 inf + 167 14.069 * * [simplify]: Extracting #9: cost 13 inf + 371 14.069 * * [simplify]: Extracting #10: cost 9 inf + 1019 14.070 * * [simplify]: Extracting #11: cost 2 inf + 3114 14.070 * * [simplify]: Extracting #12: cost 0 inf + 3799 14.071 * [simplify]: Simplified to (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.071 * [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))))))) 14.071 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.071 * * [simplify]: iters left: 6 (13 enodes) 14.074 * * [simplify]: iters left: 5 (45 enodes) 14.081 * * [simplify]: iters left: 4 (52 enodes) 14.088 * * [simplify]: Extracting #0: cost 1 inf + 0 14.088 * * [simplify]: Extracting #1: cost 4 inf + 0 14.088 * * [simplify]: Extracting #2: cost 8 inf + 0 14.088 * * [simplify]: Extracting #3: cost 15 inf + 0 14.088 * * [simplify]: Extracting #4: cost 19 inf + 2 14.088 * * [simplify]: Extracting #5: cost 17 inf + 209 14.089 * * [simplify]: Extracting #6: cost 14 inf + 537 14.089 * * [simplify]: Extracting #7: cost 9 inf + 1308 14.089 * * [simplify]: Extracting #8: cost 1 inf + 3364 14.090 * * [simplify]: Extracting #9: cost 0 inf + 3807 14.091 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 14.091 * [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))))))) 14.091 * * * * [progress]: [ 69 / 122 ] simplifiying candidate # 14.091 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.091 * * [simplify]: iters left: 6 (11 enodes) 14.094 * * [simplify]: iters left: 5 (38 enodes) 14.100 * * [simplify]: iters left: 4 (43 enodes) 14.106 * * [simplify]: Extracting #0: cost 1 inf + 0 14.106 * * [simplify]: Extracting #1: cost 4 inf + 0 14.106 * * [simplify]: Extracting #2: cost 5 inf + 1 14.106 * * [simplify]: Extracting #3: cost 7 inf + 1 14.106 * * [simplify]: Extracting #4: cost 11 inf + 1 14.106 * * [simplify]: Extracting #5: cost 12 inf + 43 14.106 * * [simplify]: Extracting #6: cost 14 inf + 84 14.106 * * [simplify]: Extracting #7: cost 16 inf + 125 14.106 * * [simplify]: Extracting #8: cost 14 inf + 167 14.106 * * [simplify]: Extracting #9: cost 11 inf + 371 14.107 * * [simplify]: Extracting #10: cost 7 inf + 1019 14.107 * * [simplify]: Extracting #11: cost 3 inf + 1987 14.108 * * [simplify]: Extracting #12: cost 0 inf + 2915 14.108 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.108 * [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))))))) 14.108 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.108 * * [simplify]: iters left: 6 (13 enodes) 14.112 * * [simplify]: iters left: 5 (45 enodes) 14.122 * * [simplify]: iters left: 4 (52 enodes) 14.136 * * [simplify]: Extracting #0: cost 1 inf + 0 14.136 * * [simplify]: Extracting #1: cost 4 inf + 0 14.136 * * [simplify]: Extracting #2: cost 8 inf + 0 14.136 * * [simplify]: Extracting #3: cost 15 inf + 0 14.136 * * [simplify]: Extracting #4: cost 19 inf + 2 14.136 * * [simplify]: Extracting #5: cost 17 inf + 209 14.137 * * [simplify]: Extracting #6: cost 14 inf + 537 14.137 * * [simplify]: Extracting #7: cost 9 inf + 1308 14.138 * * [simplify]: Extracting #8: cost 1 inf + 3164 14.139 * * [simplify]: Extracting #9: cost 0 inf + 3567 14.140 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 14.140 * [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))))))) 14.141 * * * * [progress]: [ 70 / 122 ] simplifiying candidate # 14.141 * [simplify]: Simplifying (/ 1 (sqrt 1)) 14.141 * * [simplify]: iters left: 3 (3 enodes) 14.147 * * [simplify]: iters left: 2 (11 enodes) 14.150 * * [simplify]: iters left: 1 (13 enodes) 14.153 * * [simplify]: Extracting #0: cost 1 inf + 0 14.153 * * [simplify]: Extracting #1: cost 0 inf + 1 14.153 * [simplify]: Simplified to 1 14.153 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 14.154 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.154 * * [simplify]: iters left: 6 (12 enodes) 14.159 * * [simplify]: iters left: 5 (42 enodes) 14.172 * * [simplify]: iters left: 4 (49 enodes) 14.185 * * [simplify]: Extracting #0: cost 1 inf + 0 14.185 * * [simplify]: Extracting #1: cost 4 inf + 0 14.185 * * [simplify]: Extracting #2: cost 8 inf + 0 14.185 * * [simplify]: Extracting #3: cost 17 inf + 0 14.185 * * [simplify]: Extracting #4: cost 19 inf + 3 14.186 * * [simplify]: Extracting #5: cost 14 inf + 374 14.186 * * [simplify]: Extracting #6: cost 7 inf + 1388 14.186 * * [simplify]: Extracting #7: cost 1 inf + 2560 14.187 * * [simplify]: Extracting #8: cost 0 inf + 2923 14.187 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 14.187 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 14.188 * * * * [progress]: [ 71 / 122 ] simplifiying candidate # 14.188 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 14.188 * * [simplify]: iters left: 6 (12 enodes) 14.191 * * [simplify]: iters left: 5 (40 enodes) 14.196 * * [simplify]: iters left: 4 (42 enodes) 14.202 * * [simplify]: Extracting #0: cost 1 inf + 0 14.202 * * [simplify]: Extracting #1: cost 4 inf + 0 14.202 * * [simplify]: Extracting #2: cost 5 inf + 1 14.202 * * [simplify]: Extracting #3: cost 8 inf + 1 14.202 * * [simplify]: Extracting #4: cost 12 inf + 1 14.202 * * [simplify]: Extracting #5: cost 13 inf + 2 14.202 * * [simplify]: Extracting #6: cost 14 inf + 84 14.202 * * [simplify]: Extracting #7: cost 16 inf + 125 14.202 * * [simplify]: Extracting #8: cost 14 inf + 167 14.203 * * [simplify]: Extracting #9: cost 10 inf + 493 14.203 * * [simplify]: Extracting #10: cost 4 inf + 1785 14.203 * * [simplify]: Extracting #11: cost 2 inf + 2470 14.204 * * [simplify]: Extracting #12: cost 0 inf + 3155 14.204 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 14.204 * [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))))))) 14.204 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 14.205 * * [simplify]: iters left: 6 (14 enodes) 14.208 * * [simplify]: iters left: 5 (48 enodes) 14.214 * * [simplify]: iters left: 4 (55 enodes) 14.229 * * [simplify]: Extracting #0: cost 1 inf + 0 14.229 * * [simplify]: Extracting #1: cost 4 inf + 0 14.229 * * [simplify]: Extracting #2: cost 8 inf + 0 14.229 * * [simplify]: Extracting #3: cost 17 inf + 0 14.229 * * [simplify]: Extracting #4: cost 22 inf + 2 14.230 * * [simplify]: Extracting #5: cost 15 inf + 577 14.230 * * [simplify]: Extracting #6: cost 14 inf + 740 14.231 * * [simplify]: Extracting #7: cost 9 inf + 1510 14.232 * * [simplify]: Extracting #8: cost 2 inf + 3244 14.233 * * [simplify]: Extracting #9: cost 0 inf + 3969 14.234 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 14.234 * [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))))))) 14.235 * * * * [progress]: [ 72 / 122 ] simplifiying candidate # 14.235 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 14.235 * * [simplify]: iters left: 6 (12 enodes) 14.241 * * [simplify]: iters left: 5 (40 enodes) 14.247 * * [simplify]: iters left: 4 (42 enodes) 14.253 * * [simplify]: Extracting #0: cost 1 inf + 0 14.253 * * [simplify]: Extracting #1: cost 4 inf + 0 14.253 * * [simplify]: Extracting #2: cost 5 inf + 1 14.253 * * [simplify]: Extracting #3: cost 8 inf + 1 14.253 * * [simplify]: Extracting #4: cost 12 inf + 1 14.253 * * [simplify]: Extracting #5: cost 13 inf + 2 14.254 * * [simplify]: Extracting #6: cost 14 inf + 84 14.254 * * [simplify]: Extracting #7: cost 16 inf + 125 14.254 * * [simplify]: Extracting #8: cost 14 inf + 167 14.254 * * [simplify]: Extracting #9: cost 10 inf + 493 14.254 * * [simplify]: Extracting #10: cost 4 inf + 1785 14.254 * * [simplify]: Extracting #11: cost 2 inf + 2470 14.255 * * [simplify]: Extracting #12: cost 0 inf + 3155 14.255 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 14.256 * [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))))))) 14.256 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 14.256 * * [simplify]: iters left: 6 (14 enodes) 14.259 * * [simplify]: iters left: 5 (48 enodes) 14.266 * * [simplify]: iters left: 4 (55 enodes) 14.275 * * [simplify]: Extracting #0: cost 1 inf + 0 14.275 * * [simplify]: Extracting #1: cost 4 inf + 0 14.275 * * [simplify]: Extracting #2: cost 8 inf + 0 14.275 * * [simplify]: Extracting #3: cost 17 inf + 0 14.275 * * [simplify]: Extracting #4: cost 22 inf + 2 14.275 * * [simplify]: Extracting #5: cost 15 inf + 577 14.275 * * [simplify]: Extracting #6: cost 14 inf + 740 14.275 * * [simplify]: Extracting #7: cost 9 inf + 1510 14.276 * * [simplify]: Extracting #8: cost 2 inf + 3244 14.277 * * [simplify]: Extracting #9: cost 0 inf + 3969 14.277 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 14.277 * [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))))))) 14.277 * * * * [progress]: [ 73 / 122 ] simplifiying candidate # 14.278 * [simplify]: Simplifying (/ 1 (sqrt 1)) 14.278 * * [simplify]: iters left: 3 (3 enodes) 14.281 * * [simplify]: iters left: 2 (11 enodes) 14.283 * * [simplify]: iters left: 1 (13 enodes) 14.285 * * [simplify]: Extracting #0: cost 1 inf + 0 14.285 * * [simplify]: Extracting #1: cost 0 inf + 1 14.285 * [simplify]: Simplified to 1 14.285 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 14.285 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.285 * * [simplify]: iters left: 6 (12 enodes) 14.288 * * [simplify]: iters left: 5 (42 enodes) 14.294 * * [simplify]: iters left: 4 (49 enodes) 14.302 * * [simplify]: Extracting #0: cost 1 inf + 0 14.303 * * [simplify]: Extracting #1: cost 4 inf + 0 14.303 * * [simplify]: Extracting #2: cost 8 inf + 0 14.303 * * [simplify]: Extracting #3: cost 17 inf + 0 14.303 * * [simplify]: Extracting #4: cost 19 inf + 3 14.303 * * [simplify]: Extracting #5: cost 14 inf + 374 14.304 * * [simplify]: Extracting #6: cost 7 inf + 1388 14.304 * * [simplify]: Extracting #7: cost 1 inf + 2560 14.305 * * [simplify]: Extracting #8: cost 0 inf + 2923 14.306 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 14.306 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 14.307 * * * * [progress]: [ 74 / 122 ] simplifiying candidate # 14.307 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.307 * * [simplify]: iters left: 6 (11 enodes) 14.312 * * [simplify]: iters left: 5 (38 enodes) 14.323 * * [simplify]: iters left: 4 (43 enodes) 14.335 * * [simplify]: Extracting #0: cost 1 inf + 0 14.335 * * [simplify]: Extracting #1: cost 4 inf + 0 14.335 * * [simplify]: Extracting #2: cost 5 inf + 1 14.335 * * [simplify]: Extracting #3: cost 7 inf + 1 14.335 * * [simplify]: Extracting #4: cost 11 inf + 1 14.335 * * [simplify]: Extracting #5: cost 12 inf + 43 14.335 * * [simplify]: Extracting #6: cost 14 inf + 84 14.335 * * [simplify]: Extracting #7: cost 16 inf + 125 14.336 * * [simplify]: Extracting #8: cost 14 inf + 167 14.336 * * [simplify]: Extracting #9: cost 11 inf + 371 14.336 * * [simplify]: Extracting #10: cost 7 inf + 1019 14.337 * * [simplify]: Extracting #11: cost 3 inf + 1987 14.338 * * [simplify]: Extracting #12: cost 0 inf + 2915 14.339 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.339 * [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))))))) 14.339 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.339 * * [simplify]: iters left: 6 (13 enodes) 14.345 * * [simplify]: iters left: 5 (45 enodes) 14.358 * * [simplify]: iters left: 4 (52 enodes) 14.372 * * [simplify]: Extracting #0: cost 1 inf + 0 14.372 * * [simplify]: Extracting #1: cost 4 inf + 0 14.372 * * [simplify]: Extracting #2: cost 8 inf + 0 14.372 * * [simplify]: Extracting #3: cost 15 inf + 0 14.372 * * [simplify]: Extracting #4: cost 19 inf + 2 14.372 * * [simplify]: Extracting #5: cost 17 inf + 209 14.372 * * [simplify]: Extracting #6: cost 14 inf + 537 14.373 * * [simplify]: Extracting #7: cost 9 inf + 1308 14.374 * * [simplify]: Extracting #8: cost 1 inf + 3164 14.375 * * [simplify]: Extracting #9: cost 0 inf + 3567 14.376 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 14.376 * [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))))))) 14.377 * * * * [progress]: [ 75 / 122 ] simplifiying candidate # 14.377 * [simplify]: Simplifying (/ 1 1) 14.377 * * [simplify]: iters left: 2 (2 enodes) 14.378 * * [simplify]: iters left: 1 (6 enodes) 14.380 * * [simplify]: Extracting #0: cost 1 inf + 0 14.380 * * [simplify]: Extracting #1: cost 0 inf + 1 14.380 * [simplify]: Simplified to 1 14.380 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 14.380 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.380 * * [simplify]: iters left: 6 (12 enodes) 14.383 * * [simplify]: iters left: 5 (42 enodes) 14.391 * * [simplify]: iters left: 4 (49 enodes) 14.397 * * [simplify]: Extracting #0: cost 1 inf + 0 14.397 * * [simplify]: Extracting #1: cost 4 inf + 0 14.397 * * [simplify]: Extracting #2: cost 8 inf + 0 14.397 * * [simplify]: Extracting #3: cost 17 inf + 0 14.398 * * [simplify]: Extracting #4: cost 19 inf + 3 14.398 * * [simplify]: Extracting #5: cost 14 inf + 374 14.398 * * [simplify]: Extracting #6: cost 7 inf + 1388 14.398 * * [simplify]: Extracting #7: cost 1 inf + 2560 14.399 * * [simplify]: Extracting #8: cost 0 inf + 2923 14.399 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 14.399 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 14.400 * * * * [progress]: [ 76 / 122 ] simplifiying candidate # 14.400 * * * * [progress]: [ 77 / 122 ] simplifiying candidate # 14.400 * * * * [progress]: [ 78 / 122 ] simplifiying candidate # 14.400 * * * * [progress]: [ 79 / 122 ] simplifiying candidate # 14.400 * [simplify]: Simplifying (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.400 * * [simplify]: iters left: 6 (9 enodes) 14.402 * * [simplify]: iters left: 5 (30 enodes) 14.406 * * [simplify]: iters left: 4 (33 enodes) 14.410 * * [simplify]: Extracting #0: cost 1 inf + 0 14.410 * * [simplify]: Extracting #1: cost 3 inf + 0 14.410 * * [simplify]: Extracting #2: cost 5 inf + 0 14.410 * * [simplify]: Extracting #3: cost 9 inf + 0 14.410 * * [simplify]: Extracting #4: cost 11 inf + 1 14.410 * * [simplify]: Extracting #5: cost 12 inf + 83 14.410 * * [simplify]: Extracting #6: cost 14 inf + 124 14.410 * * [simplify]: Extracting #7: cost 10 inf + 248 14.410 * * [simplify]: Extracting #8: cost 8 inf + 532 14.411 * * [simplify]: Extracting #9: cost 4 inf + 1260 14.411 * * [simplify]: Extracting #10: cost 0 inf + 2348 14.412 * [simplify]: Simplified to (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.412 * [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)))))) 14.412 * * * * [progress]: [ 80 / 122 ] simplifiying candidate # 14.413 * [simplify]: Simplifying (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 14.413 * * [simplify]: iters left: 6 (9 enodes) 14.417 * * [simplify]: iters left: 5 (30 enodes) 14.425 * * [simplify]: iters left: 4 (33 enodes) 14.433 * * [simplify]: Extracting #0: cost 1 inf + 0 14.434 * * [simplify]: Extracting #1: cost 3 inf + 0 14.434 * * [simplify]: Extracting #2: cost 5 inf + 0 14.434 * * [simplify]: Extracting #3: cost 9 inf + 0 14.434 * * [simplify]: Extracting #4: cost 11 inf + 1 14.434 * * [simplify]: Extracting #5: cost 12 inf + 83 14.434 * * [simplify]: Extracting #6: cost 14 inf + 124 14.434 * * [simplify]: Extracting #7: cost 10 inf + 248 14.434 * * [simplify]: Extracting #8: cost 8 inf + 532 14.435 * * [simplify]: Extracting #9: cost 4 inf + 1300 14.436 * * [simplify]: Extracting #10: cost 0 inf + 2428 14.436 * [simplify]: Simplified to (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 14.436 * [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)))))) 14.437 * * * * [progress]: [ 81 / 122 ] simplifiying candidate # 14.437 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.437 * * [simplify]: iters left: 6 (9 enodes) 14.441 * * [simplify]: iters left: 5 (30 enodes) 14.449 * * [simplify]: iters left: 4 (33 enodes) 14.457 * * [simplify]: Extracting #0: cost 1 inf + 0 14.457 * * [simplify]: Extracting #1: cost 3 inf + 0 14.457 * * [simplify]: Extracting #2: cost 5 inf + 0 14.457 * * [simplify]: Extracting #3: cost 9 inf + 0 14.458 * * [simplify]: Extracting #4: cost 11 inf + 1 14.458 * * [simplify]: Extracting #5: cost 12 inf + 83 14.458 * * [simplify]: Extracting #6: cost 14 inf + 124 14.458 * * [simplify]: Extracting #7: cost 10 inf + 248 14.458 * * [simplify]: Extracting #8: cost 8 inf + 532 14.459 * * [simplify]: Extracting #9: cost 4 inf + 1260 14.459 * * [simplify]: Extracting #10: cost 0 inf + 2268 14.460 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.460 * [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)))))) 14.460 * * * * [progress]: [ 82 / 122 ] simplifiying candidate # 14.461 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 14.461 * * [simplify]: iters left: 6 (8 enodes) 14.464 * * [simplify]: iters left: 5 (27 enodes) 14.472 * * [simplify]: iters left: 4 (30 enodes) 14.480 * * [simplify]: Extracting #0: cost 1 inf + 0 14.480 * * [simplify]: Extracting #1: cost 3 inf + 0 14.480 * * [simplify]: Extracting #2: cost 7 inf + 0 14.480 * * [simplify]: Extracting #3: cost 9 inf + 1 14.480 * * [simplify]: Extracting #4: cost 10 inf + 83 14.480 * * [simplify]: Extracting #5: cost 12 inf + 124 14.480 * * [simplify]: Extracting #6: cost 9 inf + 207 14.481 * * [simplify]: Extracting #7: cost 5 inf + 654 14.481 * * [simplify]: Extracting #8: cost 1 inf + 1462 14.482 * * [simplify]: Extracting #9: cost 0 inf + 1704 14.482 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 14.482 * [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))))) 14.482 * * * * [progress]: [ 83 / 122 ] simplifiying candidate # 14.483 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 14.483 * * [simplify]: iters left: 6 (10 enodes) 14.487 * * [simplify]: iters left: 5 (33 enodes) 14.496 * * [simplify]: iters left: 4 (36 enodes) 14.505 * * [simplify]: Extracting #0: cost 1 inf + 0 14.505 * * [simplify]: Extracting #1: cost 3 inf + 0 14.505 * * [simplify]: Extracting #2: cost 7 inf + 0 14.506 * * [simplify]: Extracting #3: cost 12 inf + 0 14.506 * * [simplify]: Extracting #4: cost 13 inf + 1 14.506 * * [simplify]: Extracting #5: cost 14 inf + 83 14.506 * * [simplify]: Extracting #6: cost 14 inf + 286 14.506 * * [simplify]: Extracting #7: cost 11 inf + 369 14.506 * * [simplify]: Extracting #8: cost 7 inf + 816 14.507 * * [simplify]: Extracting #9: cost 0 inf + 2590 14.508 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 14.508 * [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)))))) 14.508 * * * * [progress]: [ 84 / 122 ] simplifiying candidate # 14.509 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 14.509 * * [simplify]: iters left: 6 (10 enodes) 14.514 * * [simplify]: iters left: 5 (33 enodes) 14.523 * * [simplify]: iters left: 4 (36 enodes) 14.533 * * [simplify]: Extracting #0: cost 1 inf + 0 14.533 * * [simplify]: Extracting #1: cost 3 inf + 0 14.533 * * [simplify]: Extracting #2: cost 7 inf + 0 14.533 * * [simplify]: Extracting #3: cost 12 inf + 0 14.533 * * [simplify]: Extracting #4: cost 13 inf + 1 14.533 * * [simplify]: Extracting #5: cost 14 inf + 83 14.533 * * [simplify]: Extracting #6: cost 14 inf + 286 14.534 * * [simplify]: Extracting #7: cost 11 inf + 369 14.534 * * [simplify]: Extracting #8: cost 7 inf + 816 14.535 * * [simplify]: Extracting #9: cost 0 inf + 2590 14.535 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 14.536 * [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)))))) 14.536 * * * * [progress]: [ 85 / 122 ] simplifiying candidate # 14.536 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 14.536 * * [simplify]: iters left: 6 (8 enodes) 14.540 * * [simplify]: iters left: 5 (27 enodes) 14.547 * * [simplify]: iters left: 4 (30 enodes) 14.555 * * [simplify]: Extracting #0: cost 1 inf + 0 14.555 * * [simplify]: Extracting #1: cost 3 inf + 0 14.555 * * [simplify]: Extracting #2: cost 7 inf + 0 14.555 * * [simplify]: Extracting #3: cost 9 inf + 1 14.555 * * [simplify]: Extracting #4: cost 10 inf + 83 14.555 * * [simplify]: Extracting #5: cost 12 inf + 124 14.556 * * [simplify]: Extracting #6: cost 9 inf + 207 14.556 * * [simplify]: Extracting #7: cost 5 inf + 654 14.556 * * [simplify]: Extracting #8: cost 1 inf + 1462 14.557 * * [simplify]: Extracting #9: cost 0 inf + 1704 14.557 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 14.558 * [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))))) 14.558 * * * * [progress]: [ 86 / 122 ] simplifiying candidate # 14.558 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.558 * * [simplify]: iters left: 6 (9 enodes) 14.562 * * [simplify]: iters left: 5 (30 enodes) 14.566 * * [simplify]: iters left: 4 (33 enodes) 14.570 * * [simplify]: Extracting #0: cost 1 inf + 0 14.571 * * [simplify]: Extracting #1: cost 3 inf + 0 14.571 * * [simplify]: Extracting #2: cost 5 inf + 0 14.571 * * [simplify]: Extracting #3: cost 9 inf + 0 14.571 * * [simplify]: Extracting #4: cost 11 inf + 1 14.571 * * [simplify]: Extracting #5: cost 12 inf + 83 14.571 * * [simplify]: Extracting #6: cost 14 inf + 124 14.571 * * [simplify]: Extracting #7: cost 10 inf + 248 14.571 * * [simplify]: Extracting #8: cost 8 inf + 532 14.571 * * [simplify]: Extracting #9: cost 4 inf + 1260 14.572 * * [simplify]: Extracting #10: cost 0 inf + 2268 14.572 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.572 * [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)))))) 14.572 * * * * [progress]: [ 87 / 122 ] simplifiying candidate # 14.572 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 14.572 * * [simplify]: iters left: 6 (8 enodes) 14.574 * * [simplify]: iters left: 5 (27 enodes) 14.578 * * [simplify]: iters left: 4 (30 enodes) 14.582 * * [simplify]: Extracting #0: cost 1 inf + 0 14.582 * * [simplify]: Extracting #1: cost 3 inf + 0 14.582 * * [simplify]: Extracting #2: cost 7 inf + 0 14.582 * * [simplify]: Extracting #3: cost 9 inf + 1 14.582 * * [simplify]: Extracting #4: cost 10 inf + 83 14.582 * * [simplify]: Extracting #5: cost 12 inf + 124 14.582 * * [simplify]: Extracting #6: cost 9 inf + 207 14.582 * * [simplify]: Extracting #7: cost 5 inf + 654 14.582 * * [simplify]: Extracting #8: cost 1 inf + 1462 14.583 * * [simplify]: Extracting #9: cost 0 inf + 1704 14.583 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 14.583 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) 1) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 14.583 * * * * [progress]: [ 88 / 122 ] simplifiying candidate # 14.583 * [simplify]: Simplifying (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 14.584 * * [simplify]: iters left: 6 (7 enodes) 14.586 * * [simplify]: iters left: 5 (24 enodes) 14.592 * * [simplify]: iters left: 4 (28 enodes) 14.600 * * [simplify]: Extracting #0: cost 1 inf + 0 14.600 * * [simplify]: Extracting #1: cost 3 inf + 0 14.600 * * [simplify]: Extracting #2: cost 5 inf + 0 14.600 * * [simplify]: Extracting #3: cost 7 inf + 0 14.600 * * [simplify]: Extracting #4: cost 12 inf + 0 14.600 * * [simplify]: Extracting #5: cost 12 inf + 2 14.600 * * [simplify]: Extracting #6: cost 6 inf + 332 14.601 * * [simplify]: Extracting #7: cost 3 inf + 778 14.601 * * [simplify]: Extracting #8: cost 1 inf + 1222 14.602 * * [simplify]: Extracting #9: cost 0 inf + 1464 14.602 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 14.602 * [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)))))))) 14.602 * * * * [progress]: [ 89 / 122 ] simplifiying candidate # 14.603 * [simplify]: Simplifying (sqrt 2.0) 14.603 * * [simplify]: iters left: 1 (2 enodes) 14.605 * * [simplify]: Extracting #0: cost 1 inf + 0 14.605 * * [simplify]: Extracting #1: cost 3 inf + 0 14.605 * * [simplify]: Extracting #2: cost 2 inf + 1 14.605 * * [simplify]: Extracting #3: cost 0 inf + 83 14.605 * [simplify]: Simplified to (sqrt 2.0) 14.605 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im)))))) 14.605 * * * * [progress]: [ 90 / 122 ] simplifiying candidate # 14.606 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 14.606 * * [simplify]: iters left: 6 (6 enodes) 14.609 * * [simplify]: iters left: 5 (21 enodes) 14.615 * * [simplify]: iters left: 4 (25 enodes) 14.623 * * [simplify]: Extracting #0: cost 1 inf + 0 14.623 * * [simplify]: Extracting #1: cost 3 inf + 0 14.623 * * [simplify]: Extracting #2: cost 5 inf + 0 14.623 * * [simplify]: Extracting #3: cost 10 inf + 0 14.623 * * [simplify]: Extracting #4: cost 10 inf + 2 14.623 * * [simplify]: Extracting #5: cost 1 inf + 738 14.624 * * [simplify]: Extracting #6: cost 0 inf + 900 14.624 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 14.624 * [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)))))))) 14.624 * * * * [progress]: [ 91 / 122 ] simplifiying candidate # 14.624 * * * * [progress]: [ 92 / 122 ] simplifiying candidate # 14.625 * [simplify]: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 14.625 * * [simplify]: iters left: 6 (11 enodes) 14.630 * * [simplify]: iters left: 5 (39 enodes) 14.644 * * [simplify]: iters left: 4 (63 enodes) 14.664 * * [simplify]: iters left: 3 (86 enodes) 14.680 * * [simplify]: iters left: 2 (104 enodes) 14.694 * * [simplify]: Extracting #0: cost 1 inf + 0 14.694 * * [simplify]: Extracting #1: cost 3 inf + 0 14.694 * * [simplify]: Extracting #2: cost 14 inf + 0 14.694 * * [simplify]: Extracting #3: cost 30 inf + 0 14.695 * * [simplify]: Extracting #4: cost 29 inf + 125 14.695 * * [simplify]: Extracting #5: cost 20 inf + 978 14.696 * * [simplify]: Extracting #6: cost 8 inf + 3642 14.697 * * [simplify]: Extracting #7: cost 0 inf + 5818 14.698 * [simplify]: Simplified to (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) 14.698 * [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)))))) 14.698 * * * * [progress]: [ 93 / 122 ] simplifiying candidate # 14.699 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 14.699 * * [simplify]: iters left: 6 (8 enodes) 14.700 * * [simplify]: iters left: 5 (26 enodes) 14.705 * * [simplify]: Extracting #0: cost 1 inf + 0 14.705 * * [simplify]: Extracting #1: cost 3 inf + 0 14.705 * * [simplify]: Extracting #2: cost 6 inf + 0 14.705 * * [simplify]: Extracting #3: cost 7 inf + 1 14.705 * * [simplify]: Extracting #4: cost 10 inf + 1 14.705 * * [simplify]: Extracting #5: cost 12 inf + 42 14.705 * * [simplify]: Extracting #6: cost 9 inf + 125 14.706 * * [simplify]: Extracting #7: cost 5 inf + 572 14.706 * * [simplify]: Extracting #8: cost 1 inf + 1380 14.707 * * [simplify]: Extracting #9: cost 0 inf + 1622 14.707 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 14.707 * [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))))) 14.707 * * * * [progress]: [ 94 / 122 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 14.708 * * * * [progress]: [ 95 / 122 ] simplifiying candidate # 14.708 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 14.708 * * [simplify]: iters left: 6 (9 enodes) 14.712 * * [simplify]: iters left: 5 (30 enodes) 14.720 * * [simplify]: iters left: 4 (34 enodes) 14.730 * * [simplify]: iters left: 3 (39 enodes) 14.740 * * [simplify]: iters left: 2 (44 enodes) 14.752 * * [simplify]: iters left: 1 (52 enodes) 14.768 * * [simplify]: Extracting #0: cost 1 inf + 0 14.769 * * [simplify]: Extracting #1: cost 9 inf + 0 14.769 * * [simplify]: Extracting #2: cost 15 inf + 1 14.769 * * [simplify]: Extracting #3: cost 17 inf + 2 14.769 * * [simplify]: Extracting #4: cost 18 inf + 114 14.769 * * [simplify]: Extracting #5: cost 15 inf + 601 14.770 * * [simplify]: Extracting #6: cost 7 inf + 1413 14.771 * * [simplify]: Extracting #7: cost 0 inf + 3047 14.772 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 14.772 * [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))))))) 14.772 * * * * [progress]: [ 96 / 122 ] simplifiying candidate # 14.772 * * * * [progress]: [ 97 / 122 ] simplifiying candidate # 14.772 * * * * [progress]: [ 98 / 122 ] simplifiying candidate # 14.772 * * * * [progress]: [ 99 / 122 ] simplifiying candidate # 14.772 * * * * [progress]: [ 100 / 122 ] simplifiying candidate # 14.772 * * * * [progress]: [ 101 / 122 ] simplifiying candidate # 14.772 * * * * [progress]: [ 102 / 122 ] simplifiying candidate # 14.772 * * * * [progress]: [ 103 / 122 ] simplifiying candidate # 14.773 * * * * [progress]: [ 104 / 122 ] simplifiying candidate # 14.773 * * * * [progress]: [ 105 / 122 ] simplifiying candidate # 14.773 * * * * [progress]: [ 106 / 122 ] simplifiying candidate # 14.773 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.773 * * [simplify]: iters left: 6 (9 enodes) 14.777 * * [simplify]: iters left: 5 (29 enodes) 14.784 * * [simplify]: Extracting #0: cost 1 inf + 0 14.784 * * [simplify]: Extracting #1: cost 4 inf + 0 14.784 * * [simplify]: Extracting #2: cost 8 inf + 0 14.784 * * [simplify]: Extracting #3: cost 9 inf + 1 14.785 * * [simplify]: Extracting #4: cost 11 inf + 42 14.785 * * [simplify]: Extracting #5: cost 12 inf + 124 14.785 * * [simplify]: Extracting #6: cost 8 inf + 248 14.785 * * [simplify]: Extracting #7: cost 5 inf + 654 14.786 * * [simplify]: Extracting #8: cost 2 inf + 1300 14.786 * * [simplify]: Extracting #9: cost 0 inf + 1784 14.787 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 14.787 * [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))))))) 14.787 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.788 * * [simplify]: iters left: 6 (9 enodes) 14.791 * * [simplify]: iters left: 5 (30 enodes) 14.799 * * [simplify]: iters left: 4 (33 enodes) 14.807 * * [simplify]: Extracting #0: cost 1 inf + 0 14.807 * * [simplify]: Extracting #1: cost 5 inf + 0 14.807 * * [simplify]: Extracting #2: cost 10 inf + 0 14.807 * * [simplify]: Extracting #3: cost 11 inf + 1 14.807 * * [simplify]: Extracting #4: cost 10 inf + 245 14.808 * * [simplify]: Extracting #5: cost 12 inf + 286 14.808 * * [simplify]: Extracting #6: cost 8 inf + 410 14.808 * * [simplify]: Extracting #7: cost 6 inf + 694 14.809 * * [simplify]: Extracting #8: cost 1 inf + 1744 14.809 * * [simplify]: Extracting #9: cost 0 inf + 1946 14.810 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.810 * [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))))))) 14.810 * * * * [progress]: [ 107 / 122 ] simplifiying candidate # 14.811 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.811 * * [simplify]: iters left: 6 (9 enodes) 14.814 * * [simplify]: iters left: 5 (29 enodes) 14.821 * * [simplify]: Extracting #0: cost 1 inf + 0 14.821 * * [simplify]: Extracting #1: cost 4 inf + 0 14.822 * * [simplify]: Extracting #2: cost 8 inf + 0 14.822 * * [simplify]: Extracting #3: cost 9 inf + 1 14.822 * * [simplify]: Extracting #4: cost 11 inf + 42 14.822 * * [simplify]: Extracting #5: cost 12 inf + 124 14.822 * * [simplify]: Extracting #6: cost 8 inf + 248 14.822 * * [simplify]: Extracting #7: cost 5 inf + 654 14.823 * * [simplify]: Extracting #8: cost 2 inf + 1300 14.823 * * [simplify]: Extracting #9: cost 0 inf + 1784 14.824 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 14.824 * [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))))))) 14.824 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.824 * * [simplify]: iters left: 6 (9 enodes) 14.828 * * [simplify]: iters left: 5 (30 enodes) 14.833 * * [simplify]: iters left: 4 (33 enodes) 14.838 * * [simplify]: Extracting #0: cost 1 inf + 0 14.838 * * [simplify]: Extracting #1: cost 5 inf + 0 14.838 * * [simplify]: Extracting #2: cost 10 inf + 0 14.838 * * [simplify]: Extracting #3: cost 11 inf + 1 14.838 * * [simplify]: Extracting #4: cost 10 inf + 245 14.838 * * [simplify]: Extracting #5: cost 12 inf + 286 14.838 * * [simplify]: Extracting #6: cost 8 inf + 410 14.838 * * [simplify]: Extracting #7: cost 6 inf + 694 14.838 * * [simplify]: Extracting #8: cost 1 inf + 1744 14.839 * * [simplify]: Extracting #9: cost 0 inf + 1946 14.839 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.839 * [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))))))) 14.839 * * * * [progress]: [ 108 / 122 ] simplifiying candidate # 14.839 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 14.840 * * [simplify]: iters left: 6 (7 enodes) 14.841 * * [simplify]: iters left: 5 (24 enodes) 14.844 * * [simplify]: iters left: 4 (27 enodes) 14.847 * * [simplify]: Extracting #0: cost 1 inf + 0 14.848 * * [simplify]: Extracting #1: cost 5 inf + 0 14.848 * * [simplify]: Extracting #2: cost 7 inf + 1 14.848 * * [simplify]: Extracting #3: cost 8 inf + 83 14.848 * * [simplify]: Extracting #4: cost 10 inf + 124 14.848 * * [simplify]: Extracting #5: cost 6 inf + 248 14.848 * * [simplify]: Extracting #6: cost 3 inf + 654 14.848 * * [simplify]: Extracting #7: cost 1 inf + 1018 14.848 * * [simplify]: Extracting #8: cost 0 inf + 1220 14.849 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 14.849 * [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)))))) 14.849 * * * * [progress]: [ 109 / 122 ] simplifiying candidate # 14.849 * * * * [progress]: [ 110 / 122 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 14.849 * * * * [progress]: [ 111 / 122 ] simplifiying candidate # 14.849 * [simplify]: Simplifying im 14.849 * * [simplify]: iters left: 0 (1 enodes) 14.849 * * [simplify]: Extracting #0: cost 1 inf + 0 14.849 * * [simplify]: Extracting #1: cost 0 inf + 1 14.849 * [simplify]: Simplified to im 14.849 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 14.849 * * * * [progress]: [ 112 / 122 ] simplifiying candidate # 14.850 * [simplify]: Simplifying re 14.850 * * [simplify]: iters left: 0 (1 enodes) 14.850 * * [simplify]: Extracting #0: cost 1 inf + 0 14.850 * * [simplify]: Extracting #1: cost 0 inf + 1 14.850 * [simplify]: Simplified to re 14.850 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- re re))))) 14.850 * * * * [progress]: [ 113 / 122 ] simplifiying candidate # 14.850 * [simplify]: Simplifying (* -1 re) 14.850 * * [simplify]: iters left: 2 (3 enodes) 14.851 * * [simplify]: iters left: 1 (11 enodes) 14.853 * * [simplify]: Extracting #0: cost 1 inf + 0 14.853 * * [simplify]: Extracting #1: cost 4 inf + 0 14.853 * * [simplify]: Extracting #2: cost 0 inf + 84 14.853 * [simplify]: Simplified to (- re) 14.853 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (- re) re))))) 14.853 * * * * [progress]: [ 114 / 122 ] simplifiying candidate # 14.853 * [simplify]: Simplifying (* (sqrt 2.0) im) 14.853 * * [simplify]: iters left: 3 (4 enodes) 14.855 * * [simplify]: iters left: 2 (13 enodes) 14.857 * * [simplify]: Extracting #0: cost 1 inf + 0 14.857 * * [simplify]: Extracting #1: cost 4 inf + 0 14.857 * * [simplify]: Extracting #2: cost 5 inf + 1 14.857 * * [simplify]: Extracting #3: cost 4 inf + 2 14.857 * * [simplify]: Extracting #4: cost 0 inf + 248 14.857 * [simplify]: Simplified to (* im (sqrt 2.0)) 14.857 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 14.857 * * * * [progress]: [ 115 / 122 ] simplifiying candidate # 14.858 * [simplify]: Simplifying (* (sqrt 2.0) im) 14.858 * * [simplify]: iters left: 3 (4 enodes) 14.859 * * [simplify]: iters left: 2 (13 enodes) 14.861 * * [simplify]: Extracting #0: cost 1 inf + 0 14.861 * * [simplify]: Extracting #1: cost 4 inf + 0 14.861 * * [simplify]: Extracting #2: cost 5 inf + 1 14.861 * * [simplify]: Extracting #3: cost 4 inf + 2 14.862 * * [simplify]: Extracting #4: cost 0 inf + 248 14.862 * [simplify]: Simplified to (* im (sqrt 2.0)) 14.862 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 14.862 * * * * [progress]: [ 116 / 122 ] simplifiying candidate # 14.862 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 14.862 * * [simplify]: iters left: 5 (6 enodes) 14.864 * * [simplify]: iters left: 4 (23 enodes) 14.868 * * [simplify]: iters left: 3 (36 enodes) 14.875 * * [simplify]: iters left: 2 (41 enodes) 14.881 * * [simplify]: Extracting #0: cost 1 inf + 0 14.881 * * [simplify]: Extracting #1: cost 8 inf + 0 14.881 * * [simplify]: Extracting #2: cost 10 inf + 43 14.881 * * [simplify]: Extracting #3: cost 8 inf + 85 14.881 * * [simplify]: Extracting #4: cost 2 inf + 534 14.881 * * [simplify]: Extracting #5: cost 0 inf + 737 14.882 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 14.882 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (- (* (sqrt 2.0) im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 14.882 * * * * [progress]: [ 117 / 122 ] simplifiying candidate # 14.882 * [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))))))))) 14.882 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 14.882 * * * * [progress]: [ 118 / 122 ] simplifiying candidate # 14.882 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 14.882 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 14.882 * * * * [progress]: [ 119 / 122 ] simplifiying candidate # 14.882 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 14.883 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 14.883 * * * * [progress]: [ 120 / 122 ] simplifiying candidate # 14.883 * [simplify]: Simplifying (- im re) 14.883 * * [simplify]: iters left: 2 (3 enodes) 14.884 * * [simplify]: iters left: 1 (11 enodes) 14.887 * * [simplify]: Extracting #0: cost 1 inf + 0 14.887 * * [simplify]: Extracting #1: cost 5 inf + 0 14.887 * * [simplify]: Extracting #2: cost 3 inf + 43 14.888 * * [simplify]: Extracting #3: cost 0 inf + 168 14.888 * [simplify]: Simplified to (- im re) 14.888 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 14.888 * * * * [progress]: [ 121 / 122 ] simplifiying candidate # 14.888 * [simplify]: Simplifying 0 14.888 * * [simplify]: iters left: 0 (1 enodes) 14.889 * * [simplify]: Extracting #0: cost 1 inf + 0 14.889 * * [simplify]: Extracting #1: cost 0 inf + 1 14.889 * [simplify]: Simplified to 0 14.889 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt 0)))) 14.889 * * * * [progress]: [ 122 / 122 ] simplifiying candidate # 14.890 * [simplify]: Simplifying (* -2 re) 14.890 * * [simplify]: iters left: 2 (3 enodes) 14.891 * * [simplify]: iters left: 1 (10 enodes) 14.894 * * [simplify]: Extracting #0: cost 1 inf + 0 14.894 * * [simplify]: Extracting #1: cost 4 inf + 0 14.894 * * [simplify]: Extracting #2: cost 2 inf + 2 14.894 * * [simplify]: Extracting #3: cost 0 inf + 86 14.894 * [simplify]: Simplified to (* -2 re) 14.894 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re))))) 14.895 * * * [progress]: adding candidates to table 16.405 * [progress]: [Phase 3 of 3] Extracting. 16.405 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 16.406 * * * [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))))) 16.406 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 16.557 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # #) 16.682 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 16.743 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 16.870 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # # #) 16.953 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # # #) 17.061 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # # # #) 17.175 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # # # #) 17.295 * * * [regime]: Found split indices: #