0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.111 * [progress]: [Phase 2 of 3] Improving. 0.111 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.111 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.111 * * [simplify]: iters left: 6 (12 enodes) 0.118 * * [simplify]: iters left: 5 (46 enodes) 0.132 * * [simplify]: iters left: 4 (56 enodes) 0.146 * * [simplify]: Extracting #0: cost 1 inf + 0 0.146 * * [simplify]: Extracting #1: cost 4 inf + 0 0.146 * * [simplify]: Extracting #2: cost 5 inf + 1 0.146 * * [simplify]: Extracting #3: cost 10 inf + 1 0.146 * * [simplify]: Extracting #4: cost 14 inf + 2 0.147 * * [simplify]: Extracting #5: cost 13 inf + 87 0.147 * * [simplify]: Extracting #6: cost 16 inf + 87 0.147 * * [simplify]: Extracting #7: cost 18 inf + 128 0.147 * * [simplify]: Extracting #8: cost 15 inf + 211 0.148 * * [simplify]: Extracting #9: cost 6 inf + 1670 0.149 * * [simplify]: Extracting #10: cost 1 inf + 3047 0.150 * * [simplify]: Extracting #11: cost 0 inf + 3330 0.151 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.151 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.157 * * [progress]: iteration 1 / 4 0.157 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.163 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.214 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.245 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.264 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.265 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.265 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.265 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.265 * [backup-simplify]: Simplify re into re 0.265 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.265 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.265 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.265 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.267 * [taylor]: Taking taylor expansion of im in re 0.267 * [backup-simplify]: Simplify im into im 0.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.267 * [taylor]: Taking taylor expansion of re in re 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.267 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.267 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [backup-simplify]: Simplify im into im 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.268 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.268 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.269 * [taylor]: Taking taylor expansion of im in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.271 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.271 * [taylor]: Taking taylor expansion of 1/2 in im 0.271 * [backup-simplify]: Simplify 1/2 into 1/2 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.274 * [taylor]: Taking taylor expansion of 0 in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.276 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.276 * [taylor]: Taking taylor expansion of re in im 0.276 * [backup-simplify]: Simplify re into re 0.276 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.276 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [backup-simplify]: Simplify (sqrt 1) into 1 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [backup-simplify]: Simplify im into im 0.282 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.282 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.282 * [backup-simplify]: Simplify (+ 1 0) into 1 0.282 * [backup-simplify]: Simplify (sqrt 1) into 1 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.286 * [taylor]: Taking taylor expansion of im in re 0.286 * [backup-simplify]: Simplify im into im 0.286 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.287 * [backup-simplify]: Simplify (+ 1 0) into 1 0.287 * [backup-simplify]: Simplify (sqrt 1) into 1 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.289 * [taylor]: Taking taylor expansion of 1 in im 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of 0 in im 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of 1/2 in im 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in im 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.297 * [taylor]: Taking taylor expansion of re in im 0.297 * [backup-simplify]: Simplify re into re 0.297 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ 0 1) into 1 0.298 * [backup-simplify]: Simplify (sqrt 1) into 1 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.300 * [taylor]: Taking taylor expansion of re in re 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.300 * [taylor]: Taking taylor expansion of im in re 0.300 * [backup-simplify]: Simplify im into im 0.300 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.303 * [taylor]: Taking taylor expansion of im in re 0.303 * [backup-simplify]: Simplify im into im 0.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [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 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.305 * [taylor]: Taking taylor expansion of 1 in im 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of 0 in im 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.307 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.307 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.307 * [taylor]: Taking taylor expansion of 1/2 in im 0.307 * [backup-simplify]: Simplify 1/2 into 1/2 0.307 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in im 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.312 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.312 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.312 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.312 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.312 * [taylor]: Taking taylor expansion of re in im 0.312 * [backup-simplify]: Simplify re into re 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.312 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.312 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.313 * [taylor]: Taking taylor expansion of re in im 0.313 * [backup-simplify]: Simplify re into re 0.313 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.313 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.313 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.313 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.313 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.313 * [taylor]: Taking taylor expansion of re in re 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.313 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.313 * [taylor]: Taking taylor expansion of im in re 0.313 * [backup-simplify]: Simplify im into im 0.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.313 * [taylor]: Taking taylor expansion of re in re 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.313 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.313 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.314 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.314 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.314 * [taylor]: Taking taylor expansion of im in re 0.314 * [backup-simplify]: Simplify im into im 0.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.314 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.314 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 im) into im 0.317 * [taylor]: Taking taylor expansion of im in im 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [taylor]: Taking taylor expansion of 1 in im 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (+ 0 1) into 1 0.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.319 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.319 * [taylor]: Taking taylor expansion of 1/2 in im 0.319 * [backup-simplify]: Simplify 1/2 into 1/2 0.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.319 * [taylor]: Taking taylor expansion of im in im 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in im 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.323 * [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))))) 0.323 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.323 * [taylor]: Taking taylor expansion of re in im 0.323 * [backup-simplify]: Simplify re into re 0.323 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.323 * [taylor]: Taking taylor expansion of re in im 0.323 * [backup-simplify]: Simplify re into re 0.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.324 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.324 * [taylor]: Taking taylor expansion of im in im 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (sqrt 1) into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.326 * [taylor]: Taking taylor expansion of re in re 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.326 * [taylor]: Taking taylor expansion of re in re 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.327 * [taylor]: Taking taylor expansion of im in re 0.327 * [backup-simplify]: Simplify im into im 0.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (sqrt 1) into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.329 * [taylor]: Taking taylor expansion of re in re 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.330 * [taylor]: Taking taylor expansion of im in re 0.330 * [backup-simplify]: Simplify im into im 0.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [backup-simplify]: Simplify (sqrt 1) into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [backup-simplify]: Simplify (+ 1 1) into 2 0.333 * [taylor]: Taking taylor expansion of 2 in im 0.333 * [backup-simplify]: Simplify 2 into 2 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 2 into 2 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.336 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.336 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.336 * [taylor]: Taking taylor expansion of 1/2 in im 0.336 * [backup-simplify]: Simplify 1/2 into 1/2 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.346 * [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)) 0.346 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.346 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.346 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.346 * [taylor]: Taking taylor expansion of re in im 0.346 * [backup-simplify]: Simplify re into re 0.346 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.346 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ 0 1) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.351 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.351 * [taylor]: Taking taylor expansion of re in im 0.351 * [backup-simplify]: Simplify re into re 0.351 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.351 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [backup-simplify]: Simplify im into im 0.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (sqrt 1) into 1 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.355 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.357 * [taylor]: Taking taylor expansion of im in re 0.357 * [backup-simplify]: Simplify im into im 0.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (sqrt 1) into 1 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.361 * [taylor]: Taking taylor expansion of re in re 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (- 1) into -1 0.362 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.367 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.368 * [taylor]: Taking taylor expansion of 1/2 in im 0.368 * [backup-simplify]: Simplify 1/2 into 1/2 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.380 * [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)))))) 0.380 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.380 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.380 * [taylor]: Taking taylor expansion of 2.0 in im 0.380 * [backup-simplify]: Simplify 2.0 into 2.0 0.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.381 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.382 * [taylor]: Taking taylor expansion of re in im 0.382 * [backup-simplify]: Simplify re into re 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.382 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.382 * [taylor]: Taking taylor expansion of re in im 0.382 * [backup-simplify]: Simplify re into re 0.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.382 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.382 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.382 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.383 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.383 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.383 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.384 * [taylor]: Taking taylor expansion of 2.0 in re 0.384 * [backup-simplify]: Simplify 2.0 into 2.0 0.384 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.385 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.385 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [backup-simplify]: Simplify im into im 0.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.385 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 im) into im 0.386 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.387 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.387 * [taylor]: Taking taylor expansion of 2.0 in re 0.387 * [backup-simplify]: Simplify 2.0 into 2.0 0.387 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.388 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.388 * [taylor]: Taking taylor expansion of re in re 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.388 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.388 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.388 * [taylor]: Taking taylor expansion of im in re 0.388 * [backup-simplify]: Simplify im into im 0.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.388 * [taylor]: Taking taylor expansion of re in re 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.388 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.389 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.389 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 im) into im 0.389 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.390 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.390 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.390 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.390 * [taylor]: Taking taylor expansion of 2.0 in im 0.390 * [backup-simplify]: Simplify 2.0 into 2.0 0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.392 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.392 * [taylor]: Taking taylor expansion of im in im 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (sqrt 0) into 0 0.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.394 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.395 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.395 * [taylor]: Taking taylor expansion of 1/2 in im 0.395 * [backup-simplify]: Simplify 1/2 into 1/2 0.395 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.395 * [taylor]: Taking taylor expansion of 2.0 in im 0.395 * [backup-simplify]: Simplify 2.0 into 2.0 0.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.396 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.396 * [taylor]: Taking taylor expansion of im in im 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (sqrt 0) into 0 0.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.400 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.401 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.406 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.408 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.410 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.410 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (+ 0 1) into 1 0.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.412 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.413 * [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)))) 0.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.415 * [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))))) 0.415 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.415 * [taylor]: Taking taylor expansion of 1/8 in im 0.415 * [backup-simplify]: Simplify 1/8 into 1/8 0.415 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.415 * [taylor]: Taking taylor expansion of 2.0 in im 0.415 * [backup-simplify]: Simplify 2.0 into 2.0 0.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.416 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [backup-simplify]: Simplify (sqrt 0) into 0 0.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.429 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.431 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.431 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.438 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.443 * [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))))))) 0.443 * [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))))))) 0.443 * [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 0.443 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.443 * [taylor]: Taking taylor expansion of 2.0 in im 0.444 * [backup-simplify]: Simplify 2.0 into 2.0 0.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.445 * [taylor]: Taking taylor expansion of re in im 0.445 * [backup-simplify]: Simplify re into re 0.445 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.445 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.445 * [taylor]: Taking taylor expansion of re in im 0.445 * [backup-simplify]: Simplify re into re 0.445 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.445 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.445 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (sqrt 0) into 0 0.454 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.454 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.454 * [taylor]: Taking taylor expansion of 2.0 in re 0.454 * [backup-simplify]: Simplify 2.0 into 2.0 0.455 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.456 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.456 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.457 * [taylor]: Taking taylor expansion of im in re 0.458 * [backup-simplify]: Simplify im into im 0.458 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.458 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (sqrt 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.462 * [backup-simplify]: Simplify (+ 1 1) into 2 0.462 * [backup-simplify]: Simplify (sqrt 0) into 0 0.464 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.464 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.464 * [taylor]: Taking taylor expansion of 2.0 in re 0.464 * [backup-simplify]: Simplify 2.0 into 2.0 0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.467 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.467 * [taylor]: Taking taylor expansion of im in re 0.467 * [backup-simplify]: Simplify im into im 0.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.467 * [backup-simplify]: Simplify (+ 1 0) into 1 0.468 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.471 * [backup-simplify]: Simplify (+ 1 1) into 2 0.471 * [backup-simplify]: Simplify (sqrt 0) into 0 0.473 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.473 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.473 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.476 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.476 * [taylor]: Taking taylor expansion of +nan.0 in im 0.476 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.476 * [taylor]: Taking taylor expansion of 2.0 in im 0.476 * [backup-simplify]: Simplify 2.0 into 2.0 0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.486 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.486 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.486 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.486 * [taylor]: Taking taylor expansion of +nan.0 in im 0.486 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.486 * [taylor]: Taking taylor expansion of 2.0 in im 0.486 * [backup-simplify]: Simplify 2.0 into 2.0 0.486 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.488 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.488 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.489 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.492 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.492 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.493 * [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)) 0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.495 * [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)))))) 0.495 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.495 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.495 * [taylor]: Taking taylor expansion of +nan.0 in im 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.495 * [taylor]: Taking taylor expansion of 2.0 in im 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.496 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.496 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.496 * [taylor]: Taking taylor expansion of +nan.0 in im 0.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.496 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.496 * [taylor]: Taking taylor expansion of 2.0 in im 0.496 * [backup-simplify]: Simplify 2.0 into 2.0 0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.501 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.502 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.502 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.503 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [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))) 0.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.508 * [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)))))) 0.508 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.508 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.508 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.508 * [taylor]: Taking taylor expansion of +nan.0 in im 0.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.509 * [taylor]: Taking taylor expansion of 2.0 in im 0.509 * [backup-simplify]: Simplify 2.0 into 2.0 0.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.509 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.509 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.509 * [taylor]: Taking taylor expansion of +nan.0 in im 0.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.509 * [taylor]: Taking taylor expansion of 2.0 in im 0.509 * [backup-simplify]: Simplify 2.0 into 2.0 0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.520 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.521 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.524 * [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)))))))) 0.524 * [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)))) 0.525 * [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 0.525 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.525 * [taylor]: Taking taylor expansion of 2.0 in im 0.525 * [backup-simplify]: Simplify 2.0 into 2.0 0.525 * [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 (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.525 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.525 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.525 * [taylor]: Taking taylor expansion of re in im 0.525 * [backup-simplify]: Simplify re into re 0.525 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.526 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.526 * [taylor]: Taking taylor expansion of im in im 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (sqrt 1) into 1 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.528 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.528 * [taylor]: Taking taylor expansion of re in im 0.528 * [backup-simplify]: Simplify re into re 0.528 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.529 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [backup-simplify]: Simplify (sqrt 0) into 0 0.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.530 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.530 * [taylor]: Taking taylor expansion of 2.0 in re 0.530 * [backup-simplify]: Simplify 2.0 into 2.0 0.530 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.531 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.531 * [taylor]: Taking taylor expansion of im in re 0.531 * [backup-simplify]: Simplify im into im 0.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.532 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.532 * [backup-simplify]: Simplify (+ 1 0) into 1 0.532 * [backup-simplify]: Simplify (sqrt 1) into 1 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [backup-simplify]: Simplify (- 1) into -1 0.534 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.538 * [backup-simplify]: Simplify (sqrt 0) into 0 0.539 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.539 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.539 * [taylor]: Taking taylor expansion of 2.0 in re 0.539 * [backup-simplify]: Simplify 2.0 into 2.0 0.539 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.540 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.540 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.540 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.540 * [backup-simplify]: Simplify im into im 0.541 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.541 * [backup-simplify]: Simplify (+ 1 0) into 1 0.541 * [backup-simplify]: Simplify (sqrt 1) into 1 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (- 1) into -1 0.544 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.551 * [backup-simplify]: Simplify (sqrt 0) into 0 0.551 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.552 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.553 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.553 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.553 * [taylor]: Taking taylor expansion of +nan.0 in im 0.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.553 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.553 * [taylor]: Taking taylor expansion of 2.0 in im 0.553 * [backup-simplify]: Simplify 2.0 into 2.0 0.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.555 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.569 * [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)))) 0.569 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.569 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.569 * [taylor]: Taking taylor expansion of +nan.0 in im 0.569 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.569 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) 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) 0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.570 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.570 * [taylor]: Taking taylor expansion of im in im 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.572 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.586 * [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))))) 0.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.587 * [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)))))) 0.587 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.588 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.588 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.588 * [taylor]: Taking taylor expansion of +nan.0 in im 0.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.588 * [taylor]: Taking taylor expansion of 2.0 in im 0.588 * [backup-simplify]: Simplify 2.0 into 2.0 0.588 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.588 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.588 * [taylor]: Taking taylor expansion of im in im 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.589 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.590 * [taylor]: Taking taylor expansion of +nan.0 in im 0.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.590 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.590 * [taylor]: Taking taylor expansion of 2.0 in im 0.590 * [backup-simplify]: Simplify 2.0 into 2.0 0.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.590 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.590 * [taylor]: Taking taylor expansion of im in im 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.603 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.620 * [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 0) (+ (* 0 0) (* 0 1))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.631 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * * * [progress]: simplifying candidates 0.632 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 0.632 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 0.632 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 0.632 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 0.632 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 0.632 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 0.632 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 0.633 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.633 * * [simplify]: iters left: 6 (8 enodes) 0.634 * * [simplify]: iters left: 5 (26 enodes) 0.638 * * [simplify]: Extracting #0: cost 1 inf + 0 0.638 * * [simplify]: Extracting #1: cost 4 inf + 0 0.638 * * [simplify]: Extracting #2: cost 7 inf + 0 0.638 * * [simplify]: Extracting #3: cost 10 inf + 0 0.638 * * [simplify]: Extracting #4: cost 14 inf + 0 0.638 * * [simplify]: Extracting #5: cost 10 inf + 84 0.638 * * [simplify]: Extracting #6: cost 8 inf + 166 0.639 * * [simplify]: Extracting #7: cost 4 inf + 854 0.639 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.639 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.639 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.639 * [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))))) 0.640 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 0.640 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.640 * * [simplify]: iters left: 6 (7 enodes) 0.641 * * [simplify]: iters left: 5 (22 enodes) 0.644 * * [simplify]: Extracting #0: cost 1 inf + 0 0.644 * * [simplify]: Extracting #1: cost 3 inf + 0 0.644 * * [simplify]: Extracting #2: cost 5 inf + 0 0.644 * * [simplify]: Extracting #3: cost 8 inf + 0 0.644 * * [simplify]: Extracting #4: cost 12 inf + 0 0.644 * * [simplify]: Extracting #5: cost 10 inf + 2 0.644 * * [simplify]: Extracting #6: cost 1 inf + 936 0.644 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.645 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.645 * [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))))) 0.645 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 0.645 * [simplify]: Simplifying (sqrt 1) 0.645 * * [simplify]: iters left: 1 (2 enodes) 0.647 * * [simplify]: Extracting #0: cost 1 inf + 0 0.647 * * [simplify]: Extracting #1: cost 0 inf + 1 0.647 * [simplify]: Simplified to 1 0.647 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.647 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 0.647 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.647 * * [simplify]: iters left: 6 (9 enodes) 0.650 * * [simplify]: iters left: 5 (45 enodes) 0.661 * * [simplify]: iters left: 4 (100 enodes) 0.702 * * [simplify]: iters left: 3 (201 enodes) 0.761 * * [simplify]: iters left: 2 (406 enodes) 0.893 * * [simplify]: Extracting #0: cost 1 inf + 0 0.893 * * [simplify]: Extracting #1: cost 3 inf + 0 0.893 * * [simplify]: Extracting #2: cost 6 inf + 0 0.893 * * [simplify]: Extracting #3: cost 62 inf + 0 0.894 * * [simplify]: Extracting #4: cost 166 inf + 460 0.897 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.903 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.912 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.922 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.931 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.931 * [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))))) 0.931 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 0.932 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.932 * * [simplify]: iters left: 6 (8 enodes) 0.935 * * [simplify]: iters left: 5 (37 enodes) 0.946 * * [simplify]: iters left: 4 (67 enodes) 0.966 * * [simplify]: iters left: 3 (123 enodes) 0.993 * * [simplify]: iters left: 2 (278 enodes) 1.138 * * [simplify]: Extracting #0: cost 1 inf + 0 1.138 * * [simplify]: Extracting #1: cost 3 inf + 0 1.138 * * [simplify]: Extracting #2: cost 50 inf + 0 1.139 * * [simplify]: Extracting #3: cost 150 inf + 0 1.140 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.142 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.151 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.166 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.180 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.180 * [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))))) 1.181 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 1.181 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.181 * * [simplify]: iters left: 4 (5 enodes) 1.183 * * [simplify]: iters left: 3 (16 enodes) 1.187 * * [simplify]: Extracting #0: cost 1 inf + 0 1.187 * * [simplify]: Extracting #1: cost 4 inf + 0 1.188 * * [simplify]: Extracting #2: cost 8 inf + 0 1.188 * * [simplify]: Extracting #3: cost 4 inf + 84 1.188 * * [simplify]: Extracting #4: cost 0 inf + 410 1.188 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.188 * [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))))) 1.188 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 1.188 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 1.189 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.189 * * [simplify]: iters left: 5 (6 enodes) 1.192 * * [simplify]: iters left: 4 (19 enodes) 1.197 * * [simplify]: Extracting #0: cost 1 inf + 0 1.197 * * [simplify]: Extracting #1: cost 3 inf + 0 1.197 * * [simplify]: Extracting #2: cost 6 inf + 0 1.197 * * [simplify]: Extracting #3: cost 10 inf + 0 1.197 * * [simplify]: Extracting #4: cost 6 inf + 84 1.197 * * [simplify]: Extracting #5: cost 0 inf + 734 1.198 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.198 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.198 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 1.198 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.198 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 1.198 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.198 * * [simplify]: iters left: 6 (9 enodes) 1.202 * * [simplify]: iters left: 5 (31 enodes) 1.211 * * [simplify]: iters left: 4 (35 enodes) 1.220 * * [simplify]: Extracting #0: cost 1 inf + 0 1.220 * * [simplify]: Extracting #1: cost 5 inf + 0 1.220 * * [simplify]: Extracting #2: cost 10 inf + 0 1.220 * * [simplify]: Extracting #3: cost 11 inf + 1 1.220 * * [simplify]: Extracting #4: cost 12 inf + 143 1.220 * * [simplify]: Extracting #5: cost 14 inf + 184 1.220 * * [simplify]: Extracting #6: cost 10 inf + 308 1.221 * * [simplify]: Extracting #7: cost 7 inf + 794 1.221 * * [simplify]: Extracting #8: cost 1 inf + 2056 1.222 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.223 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.223 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.223 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 1.223 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 1.224 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 1.224 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 1.224 * * [simplify]: iters left: 6 (7 enodes) 1.227 * * [simplify]: iters left: 5 (23 enodes) 1.234 * * [simplify]: Extracting #0: cost 1 inf + 0 1.234 * * [simplify]: Extracting #1: cost 4 inf + 0 1.234 * * [simplify]: Extracting #2: cost 5 inf + 1 1.234 * * [simplify]: Extracting #3: cost 8 inf + 1 1.234 * * [simplify]: Extracting #4: cost 10 inf + 42 1.234 * * [simplify]: Extracting #5: cost 8 inf + 84 1.234 * * [simplify]: Extracting #6: cost 1 inf + 936 1.235 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.235 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 1.235 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 1.235 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 1.235 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 1.235 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 1.236 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 1.236 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 1.236 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 1.236 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 1.236 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 1.236 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 1.236 * [simplify]: Simplifying (sqrt 2.0) 1.236 * * [simplify]: iters left: 1 (2 enodes) 1.238 * * [simplify]: Extracting #0: cost 1 inf + 0 1.238 * * [simplify]: Extracting #1: cost 3 inf + 0 1.238 * * [simplify]: Extracting #2: cost 2 inf + 1 1.238 * * [simplify]: Extracting #3: cost 0 inf + 83 1.238 * [simplify]: Simplified to (sqrt 2.0) 1.239 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 1.239 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 1.239 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.239 * * [simplify]: iters left: 6 (13 enodes) 1.247 * * [simplify]: iters left: 5 (60 enodes) 1.261 * * [simplify]: iters left: 4 (109 enodes) 1.291 * * [simplify]: iters left: 3 (209 enodes) 1.372 * * [simplify]: iters left: 2 (444 enodes) 1.533 * * [simplify]: Extracting #0: cost 1 inf + 0 1.533 * * [simplify]: Extracting #1: cost 3 inf + 0 1.533 * * [simplify]: Extracting #2: cost 14 inf + 0 1.533 * * [simplify]: Extracting #3: cost 101 inf + 1 1.534 * * [simplify]: Extracting #4: cost 193 inf + 736 1.539 * * [simplify]: Extracting #5: cost 133 inf + 14308 1.556 * * [simplify]: Extracting #6: cost 18 inf + 66689 1.579 * * [simplify]: Extracting #7: cost 0 inf + 74616 1.602 * * [simplify]: Extracting #8: cost 0 inf + 74234 1.622 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.622 * [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))))))) 1.622 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 1.622 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.622 * * [simplify]: iters left: 6 (11 enodes) 1.625 * * [simplify]: iters left: 5 (38 enodes) 1.631 * * [simplify]: iters left: 4 (70 enodes) 1.645 * * [simplify]: iters left: 3 (163 enodes) 1.691 * * [simplify]: iters left: 2 (400 enodes) 2.006 * * [simplify]: Extracting #0: cost 1 inf + 0 2.006 * * [simplify]: Extracting #1: cost 3 inf + 0 2.007 * * [simplify]: Extracting #2: cost 60 inf + 0 2.008 * * [simplify]: Extracting #3: cost 168 inf + 44 2.010 * * [simplify]: Extracting #4: cost 209 inf + 1112 2.016 * * [simplify]: Extracting #5: cost 129 inf + 16179 2.038 * * [simplify]: Extracting #6: cost 16 inf + 47708 2.065 * * [simplify]: Extracting #7: cost 0 inf + 52863 2.091 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.091 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 2.091 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 2.092 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.092 * * [simplify]: iters left: 6 (9 enodes) 2.097 * * [simplify]: iters left: 5 (36 enodes) 2.108 * * [simplify]: iters left: 4 (46 enodes) 2.119 * * [simplify]: Extracting #0: cost 1 inf + 0 2.119 * * [simplify]: Extracting #1: cost 6 inf + 0 2.119 * * [simplify]: Extracting #2: cost 10 inf + 1 2.119 * * [simplify]: Extracting #3: cost 10 inf + 44 2.119 * * [simplify]: Extracting #4: cost 12 inf + 86 2.119 * * [simplify]: Extracting #5: cost 14 inf + 127 2.119 * * [simplify]: Extracting #6: cost 12 inf + 169 2.120 * * [simplify]: Extracting #7: cost 8 inf + 495 2.120 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.121 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.122 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.122 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.122 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 2.123 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.123 * * [simplify]: iters left: 6 (9 enodes) 2.131 * * [simplify]: iters left: 5 (36 enodes) 2.141 * * [simplify]: iters left: 4 (46 enodes) 2.146 * * [simplify]: Extracting #0: cost 1 inf + 0 2.146 * * [simplify]: Extracting #1: cost 6 inf + 0 2.146 * * [simplify]: Extracting #2: cost 10 inf + 1 2.147 * * [simplify]: Extracting #3: cost 10 inf + 44 2.147 * * [simplify]: Extracting #4: cost 12 inf + 86 2.147 * * [simplify]: Extracting #5: cost 14 inf + 127 2.147 * * [simplify]: Extracting #6: cost 12 inf + 169 2.147 * * [simplify]: Extracting #7: cost 8 inf + 495 2.147 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.148 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.148 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.148 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.148 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 2.148 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 2.148 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 2.148 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 2.149 * [simplify]: Simplifying im 2.149 * * [simplify]: iters left: 0 (1 enodes) 2.149 * * [simplify]: Extracting #0: cost 1 inf + 0 2.149 * * [simplify]: Extracting #1: cost 0 inf + 1 2.149 * [simplify]: Simplified to im 2.149 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.149 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 2.149 * [simplify]: Simplifying re 2.149 * * [simplify]: iters left: 0 (1 enodes) 2.149 * * [simplify]: Extracting #0: cost 1 inf + 0 2.149 * * [simplify]: Extracting #1: cost 0 inf + 1 2.149 * [simplify]: Simplified to re 2.149 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 2.150 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 2.150 * [simplify]: Simplifying (* -1 re) 2.150 * * [simplify]: iters left: 2 (3 enodes) 2.151 * * [simplify]: iters left: 1 (11 enodes) 2.152 * * [simplify]: Extracting #0: cost 1 inf + 0 2.152 * * [simplify]: Extracting #1: cost 4 inf + 0 2.152 * * [simplify]: Extracting #2: cost 0 inf + 84 2.152 * [simplify]: Simplified to (- re) 2.152 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 2.153 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 2.153 * [simplify]: Simplifying (+ re im) 2.153 * * [simplify]: iters left: 2 (3 enodes) 2.153 * * [simplify]: iters left: 1 (10 enodes) 2.155 * * [simplify]: Extracting #0: cost 1 inf + 0 2.155 * * [simplify]: Extracting #1: cost 4 inf + 0 2.155 * * [simplify]: Extracting #2: cost 2 inf + 2 2.155 * * [simplify]: Extracting #3: cost 0 inf + 86 2.155 * [simplify]: Simplified to (+ im re) 2.155 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.155 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 2.155 * [simplify]: Simplifying (* 2 re) 2.155 * * [simplify]: iters left: 2 (3 enodes) 2.156 * * [simplify]: iters left: 1 (10 enodes) 2.157 * * [simplify]: Extracting #0: cost 1 inf + 0 2.157 * * [simplify]: Extracting #1: cost 4 inf + 0 2.157 * * [simplify]: Extracting #2: cost 2 inf + 2 2.157 * * [simplify]: Extracting #3: cost 0 inf + 86 2.158 * [simplify]: Simplified to (* 2 re) 2.158 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 2.158 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 2.158 * [simplify]: Simplifying 0 2.158 * * [simplify]: iters left: 0 (1 enodes) 2.158 * * [simplify]: Extracting #0: cost 1 inf + 0 2.158 * * [simplify]: Extracting #1: cost 0 inf + 1 2.158 * [simplify]: Simplified to 0 2.158 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.158 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 2.159 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 2.159 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.159 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 2.159 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.159 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.159 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 2.159 * [simplify]: Simplifying 0 2.159 * * [simplify]: iters left: 0 (1 enodes) 2.160 * * [simplify]: Extracting #0: cost 1 inf + 0 2.160 * * [simplify]: Extracting #1: cost 0 inf + 1 2.160 * [simplify]: Simplified to 0 2.160 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.160 * * * [progress]: adding candidates to table 2.631 * * [progress]: iteration 2 / 4 2.631 * * * [progress]: picking best candidate 2.671 * * * * [pick]: Picked # 2.671 * * * [progress]: localizing error 2.729 * * * [progress]: generating rewritten candidates 2.729 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 2.741 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.757 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.858 * * * [progress]: generating series expansions 2.858 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 2.859 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.859 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.859 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.859 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.859 * [taylor]: Taking taylor expansion of im in im 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* re re) into (pow re 2) 2.859 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.859 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.859 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.860 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.860 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.860 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.860 * [taylor]: Taking taylor expansion of im in re 2.860 * [backup-simplify]: Simplify im into im 2.860 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.860 * [taylor]: Taking taylor expansion of re in re 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.860 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.860 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.861 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.861 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.861 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.861 * [taylor]: Taking taylor expansion of im in re 2.861 * [backup-simplify]: Simplify im into im 2.861 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.861 * [taylor]: Taking taylor expansion of re in re 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.861 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.862 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.862 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.862 * [taylor]: Taking taylor expansion of im in im 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [taylor]: Taking taylor expansion of 0 in im 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.863 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (+ 0 1) into 1 2.864 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.865 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.865 * [taylor]: Taking taylor expansion of 1/2 in im 2.865 * [backup-simplify]: Simplify 1/2 into 1/2 2.865 * [taylor]: Taking taylor expansion of im in im 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.868 * [taylor]: Taking taylor expansion of 0 in im 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.870 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.870 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.870 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.870 * [taylor]: Taking taylor expansion of re in im 2.870 * [backup-simplify]: Simplify re into re 2.870 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.870 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.870 * [taylor]: Taking taylor expansion of im in im 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 2.871 * [backup-simplify]: Simplify (/ 1 1) into 1 2.871 * [backup-simplify]: Simplify (+ 0 1) into 1 2.872 * [backup-simplify]: Simplify (sqrt 1) into 1 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (+ 0 0) into 0 2.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.874 * [taylor]: Taking taylor expansion of re in re 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.875 * [taylor]: Taking taylor expansion of im in re 2.875 * [backup-simplify]: Simplify im into im 2.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.876 * [backup-simplify]: Simplify (+ 1 0) into 1 2.876 * [backup-simplify]: Simplify (sqrt 1) into 1 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (+ 0 0) into 0 2.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.879 * [taylor]: Taking taylor expansion of re in re 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.880 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.880 * [taylor]: Taking taylor expansion of im in re 2.880 * [backup-simplify]: Simplify im into im 2.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.880 * [backup-simplify]: Simplify (+ 1 0) into 1 2.881 * [backup-simplify]: Simplify (sqrt 1) into 1 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.883 * [taylor]: Taking taylor expansion of 1 in im 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [taylor]: Taking taylor expansion of 0 in im 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.887 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.887 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.887 * [taylor]: Taking taylor expansion of 1/2 in im 2.887 * [backup-simplify]: Simplify 1/2 into 1/2 2.887 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.887 * [taylor]: Taking taylor expansion of im in im 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (* 1 1) into 1 2.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.893 * [taylor]: Taking taylor expansion of 0 in im 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.895 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.895 * [taylor]: Taking taylor expansion of re in im 2.895 * [backup-simplify]: Simplify re into re 2.895 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.895 * [taylor]: Taking taylor expansion of im in im 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (* 1 1) into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [backup-simplify]: Simplify (+ 0 1) into 1 2.897 * [backup-simplify]: Simplify (sqrt 1) into 1 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.900 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.900 * [taylor]: Taking taylor expansion of re in re 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (* 1 1) into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.901 * [taylor]: Taking taylor expansion of im in re 2.901 * [backup-simplify]: Simplify im into im 2.901 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.902 * [backup-simplify]: Simplify (+ 1 0) into 1 2.902 * [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 2.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.905 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.905 * [taylor]: Taking taylor expansion of re in re 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (* 1 1) into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.906 * [taylor]: Taking taylor expansion of im in re 2.906 * [backup-simplify]: Simplify im into im 2.906 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.906 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.907 * [backup-simplify]: Simplify (+ 1 0) into 1 2.907 * [backup-simplify]: Simplify (sqrt 1) into 1 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.910 * [taylor]: Taking taylor expansion of 1 in im 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [taylor]: Taking taylor expansion of 0 in im 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.913 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.913 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.913 * [taylor]: Taking taylor expansion of 1/2 in im 2.913 * [backup-simplify]: Simplify 1/2 into 1/2 2.913 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.913 * [taylor]: Taking taylor expansion of im in im 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (* 1 1) into 1 2.914 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.919 * [taylor]: Taking taylor expansion of 0 in im 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 2.921 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.921 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.921 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 2.921 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 2.921 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.921 * [taylor]: Taking taylor expansion of 2.0 in im 2.922 * [backup-simplify]: Simplify 2.0 into 2.0 2.922 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.923 * [taylor]: Taking taylor expansion of im in im 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.923 * [taylor]: Taking taylor expansion of 2.0 in im 2.923 * [backup-simplify]: Simplify 2.0 into 2.0 2.923 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 (* (sqrt 2.0) 0) into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.927 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.929 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.932 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.935 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.938 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.940 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.942 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 2.942 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 2.942 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.942 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.942 * [taylor]: Taking taylor expansion of 2.0 in im 2.942 * [backup-simplify]: Simplify 2.0 into 2.0 2.943 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.943 * [taylor]: Taking taylor expansion of im in im 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.944 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.944 * [taylor]: Taking taylor expansion of 2.0 in im 2.944 * [backup-simplify]: Simplify 2.0 into 2.0 2.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.954 * [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 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 2.954 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 2.954 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.954 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.954 * [taylor]: Taking taylor expansion of 2.0 in im 2.954 * [backup-simplify]: Simplify 2.0 into 2.0 2.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.955 * [taylor]: Taking taylor expansion of im in im 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.956 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.956 * [taylor]: Taking taylor expansion of 2.0 in im 2.956 * [backup-simplify]: Simplify 2.0 into 2.0 2.956 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.956 * [taylor]: Taking taylor expansion of im in im 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.957 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.966 * [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 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 2.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.967 * [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)))) 2.967 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 2.967 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 2.967 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.967 * [taylor]: Taking taylor expansion of 2.0 in re 2.967 * [backup-simplify]: Simplify 2.0 into 2.0 2.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.968 * [taylor]: Taking taylor expansion of im in re 2.968 * [backup-simplify]: Simplify im into im 2.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 2.968 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 2.968 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.968 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.968 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.968 * [taylor]: Taking taylor expansion of im in re 2.968 * [backup-simplify]: Simplify im into im 2.968 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.968 * [taylor]: Taking taylor expansion of re in re 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.968 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.968 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.968 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.969 * [taylor]: Taking taylor expansion of re in re 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (- 0) into 0 2.969 * [backup-simplify]: Simplify (+ im 0) into im 2.969 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.969 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.969 * [backup-simplify]: Simplify (- 1) into -1 2.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 2.970 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 2.970 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 2.970 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) 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 2.970 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.971 * [taylor]: Taking taylor expansion of im in im 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 2.971 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.971 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.971 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.971 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.971 * [taylor]: Taking taylor expansion of im in im 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.971 * [taylor]: Taking taylor expansion of re in im 2.971 * [backup-simplify]: Simplify re into re 2.971 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.971 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.971 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.971 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.971 * [taylor]: Taking taylor expansion of re in im 2.971 * [backup-simplify]: Simplify re into re 2.971 * [backup-simplify]: Simplify (- re) into (- re) 2.971 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.972 * [backup-simplify]: Simplify (- 0) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.972 * [backup-simplify]: Simplify (* 1 1) into 1 2.972 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.973 * [backup-simplify]: Simplify (+ 1 0) into 1 2.973 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.973 * [backup-simplify]: Simplify (- 0) into 0 2.973 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.973 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.974 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.974 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.975 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify (+ 0 0) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.976 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 2.976 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.976 * [taylor]: Taking taylor expansion of 2.0 in im 2.976 * [backup-simplify]: Simplify 2.0 into 2.0 2.976 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.977 * [taylor]: Taking taylor expansion of im in im 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 2.977 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.977 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.977 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.977 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.977 * [taylor]: Taking taylor expansion of im in im 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.978 * [taylor]: Taking taylor expansion of re in im 2.978 * [backup-simplify]: Simplify re into re 2.978 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.978 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.978 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.978 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.978 * [backup-simplify]: Simplify (+ 0 0) into 0 2.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.979 * [taylor]: Taking taylor expansion of re in im 2.979 * [backup-simplify]: Simplify re into re 2.979 * [backup-simplify]: Simplify (- re) into (- re) 2.979 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.979 * [backup-simplify]: Simplify (- 0) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.981 * [backup-simplify]: Simplify (+ 1 0) into 1 2.981 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.982 * [backup-simplify]: Simplify (- 0) into 0 2.982 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.982 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.982 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.983 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.984 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.986 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.986 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 2.986 * [taylor]: Taking taylor expansion of 0 in re 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.989 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 2.989 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 2.989 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 2.989 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.989 * [taylor]: Taking taylor expansion of 2.0 in re 2.989 * [backup-simplify]: Simplify 2.0 into 2.0 2.990 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.991 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.991 * [taylor]: Taking taylor expansion of 2 in re 2.991 * [backup-simplify]: Simplify 2 into 2 2.991 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.992 * [taylor]: Taking taylor expansion of (sqrt re) in re 2.992 * [taylor]: Taking taylor expansion of re in re 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (sqrt 0) into 0 2.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.995 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 2.996 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.998 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.999 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 3.000 * [backup-simplify]: Simplify (- 0) into 0 3.000 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 3.000 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 3.001 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 3.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.004 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 3.006 * [taylor]: Taking taylor expansion of 0 in re 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 3.012 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.015 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.015 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 3.019 * [backup-simplify]: Simplify (- 0) into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 3.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 3.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.024 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 3.026 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 3.026 * [taylor]: Taking taylor expansion of 1/4 in re 3.026 * [backup-simplify]: Simplify 1/4 into 1/4 3.026 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 3.027 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 3.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.027 * [taylor]: Taking taylor expansion of 2.0 in re 3.027 * [backup-simplify]: Simplify 2.0 into 2.0 3.027 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.028 * [taylor]: Taking taylor expansion of (sqrt 2) in re 3.028 * [taylor]: Taking taylor expansion of 2 in re 3.028 * [backup-simplify]: Simplify 2 into 2 3.028 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.030 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 3.030 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 3.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 3.030 * [taylor]: Taking taylor expansion of (pow re 3) in re 3.030 * [taylor]: Taking taylor expansion of re in re 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (* 1 1) into 1 3.031 * [backup-simplify]: Simplify (* 1 1) into 1 3.031 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [backup-simplify]: Simplify (sqrt 0) into 0 3.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.040 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 3.041 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.044 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 3.048 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.052 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.053 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 3.063 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.066 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.066 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.073 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 3.077 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.080 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.091 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 3.091 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 3.091 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 3.091 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 3.091 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 3.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.091 * [taylor]: Taking taylor expansion of 2.0 in re 3.091 * [backup-simplify]: Simplify 2.0 into 2.0 3.092 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.093 * [taylor]: Taking taylor expansion of im in re 3.093 * [backup-simplify]: Simplify im into im 3.093 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 3.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.093 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.093 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.093 * [taylor]: Taking taylor expansion of re in re 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.094 * [taylor]: Taking taylor expansion of im in re 3.094 * [backup-simplify]: Simplify im into im 3.094 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.094 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.095 * [backup-simplify]: Simplify (+ 1 0) into 1 3.095 * [backup-simplify]: Simplify (sqrt 1) into 1 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [backup-simplify]: Simplify (- 1) into -1 3.099 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (- 0) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.104 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (- 0) into 0 3.105 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.105 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 3.106 * [backup-simplify]: Simplify (sqrt 0) into 0 3.107 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 3.107 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 3.107 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.107 * [taylor]: Taking taylor expansion of 2.0 in im 3.107 * [backup-simplify]: Simplify 2.0 into 2.0 3.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.108 * [taylor]: Taking taylor expansion of im in im 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.108 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.108 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.108 * [taylor]: Taking taylor expansion of re in im 3.108 * [backup-simplify]: Simplify re into re 3.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.108 * [taylor]: Taking taylor expansion of im in im 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (* 1 1) into 1 3.109 * [backup-simplify]: Simplify (/ 1 1) into 1 3.109 * [backup-simplify]: Simplify (+ 0 1) into 1 3.109 * [backup-simplify]: Simplify (sqrt 1) into 1 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.111 * [taylor]: Taking taylor expansion of re in im 3.111 * [backup-simplify]: Simplify re into re 3.111 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.112 * [backup-simplify]: Simplify (+ 1 0) into 1 3.112 * [backup-simplify]: Simplify (/ 1 1) into 1 3.112 * [backup-simplify]: Simplify (sqrt 0) into 0 3.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.113 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 3.113 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.113 * [taylor]: Taking taylor expansion of 2.0 in im 3.113 * [backup-simplify]: Simplify 2.0 into 2.0 3.113 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.114 * [taylor]: Taking taylor expansion of im in im 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.114 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.115 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.115 * [taylor]: Taking taylor expansion of re in im 3.115 * [backup-simplify]: Simplify re into re 3.115 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.115 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.115 * [taylor]: Taking taylor expansion of im in im 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (* 1 1) into 1 3.115 * [backup-simplify]: Simplify (/ 1 1) into 1 3.115 * [backup-simplify]: Simplify (+ 0 1) into 1 3.116 * [backup-simplify]: Simplify (sqrt 1) into 1 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.117 * [taylor]: Taking taylor expansion of re in im 3.117 * [backup-simplify]: Simplify re into re 3.117 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.118 * [backup-simplify]: Simplify (+ 1 0) into 1 3.118 * [backup-simplify]: Simplify (/ 1 1) into 1 3.118 * [backup-simplify]: Simplify (sqrt 0) into 0 3.119 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.119 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.119 * [taylor]: Taking taylor expansion of 0 in re 3.119 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.121 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.121 * [taylor]: Taking taylor expansion of +nan.0 in re 3.121 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.121 * [taylor]: Taking taylor expansion of 2.0 in re 3.121 * [backup-simplify]: Simplify 2.0 into 2.0 3.122 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 3.122 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 3.123 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 3.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.125 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.125 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.125 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.125 * [taylor]: Taking taylor expansion of +nan.0 in re 3.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.125 * [taylor]: Taking taylor expansion of 2.0 in re 3.125 * [backup-simplify]: Simplify 2.0 into 2.0 3.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.126 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.126 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.126 * [taylor]: Taking taylor expansion of +nan.0 in re 3.126 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.126 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.126 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.126 * [taylor]: Taking taylor expansion of 2.0 in re 3.126 * [backup-simplify]: Simplify 2.0 into 2.0 3.126 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.127 * [taylor]: Taking taylor expansion of re in re 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.128 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.129 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.130 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.131 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.132 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.133 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.134 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.135 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.135 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.138 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.139 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.140 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.144 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 3.144 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 3.144 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.144 * [taylor]: Taking taylor expansion of +nan.0 in re 3.144 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.144 * [taylor]: Taking taylor expansion of 2.0 in re 3.144 * [backup-simplify]: Simplify 2.0 into 2.0 3.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.146 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 3.146 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 3.146 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.146 * [taylor]: Taking taylor expansion of +nan.0 in re 3.146 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.146 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.146 * [taylor]: Taking taylor expansion of 2.0 in re 3.146 * [backup-simplify]: Simplify 2.0 into 2.0 3.146 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.147 * [taylor]: Taking taylor expansion of re in re 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.148 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 3.148 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.148 * [taylor]: Taking taylor expansion of +nan.0 in re 3.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.148 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.148 * [taylor]: Taking taylor expansion of 2.0 in re 3.148 * [backup-simplify]: Simplify 2.0 into 2.0 3.148 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.149 * [taylor]: Taking taylor expansion of re in re 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.150 * [backup-simplify]: Simplify (* 1 1) into 1 3.151 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.151 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.153 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.153 * [backup-simplify]: Simplify (- 0) into 0 3.154 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.155 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.157 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.158 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.159 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.162 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 3.162 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 3.162 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 3.162 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 3.162 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 3.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.162 * [taylor]: Taking taylor expansion of 2.0 in re 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 im in re 3.163 * [backup-simplify]: Simplify im into im 3.163 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 3.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.163 * [taylor]: Taking taylor expansion of re in re 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.164 * [backup-simplify]: Simplify (/ 1 1) into 1 3.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.164 * [taylor]: Taking taylor expansion of re in re 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify 1 into 1 3.164 * [backup-simplify]: Simplify (* 1 1) into 1 3.164 * [backup-simplify]: Simplify (/ 1 1) into 1 3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.164 * [taylor]: Taking taylor expansion of im in re 3.164 * [backup-simplify]: Simplify im into im 3.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.165 * [backup-simplify]: Simplify (+ 1 0) into 1 3.165 * [backup-simplify]: Simplify (sqrt 1) into 1 3.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.167 * [backup-simplify]: Simplify (+ 1 1) into 2 3.167 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.167 * [backup-simplify]: Simplify (sqrt 0) into 0 3.168 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 3.168 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 3.168 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.168 * [taylor]: Taking taylor expansion of 2.0 in im 3.168 * [backup-simplify]: Simplify 2.0 into 2.0 3.169 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.171 * [taylor]: Taking taylor expansion of im in im 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 3.171 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 3.171 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.171 * [taylor]: Taking taylor expansion of re in im 3.171 * [backup-simplify]: Simplify re into re 3.171 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.172 * [taylor]: Taking taylor expansion of re in im 3.172 * [backup-simplify]: Simplify re into re 3.172 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.172 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.172 * [taylor]: Taking taylor expansion of im in im 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (* 1 1) into 1 3.172 * [backup-simplify]: Simplify (/ 1 1) into 1 3.172 * [backup-simplify]: Simplify (+ 0 1) into 1 3.173 * [backup-simplify]: Simplify (sqrt 1) into 1 3.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.174 * [backup-simplify]: Simplify (+ 0 1) into 1 3.175 * [backup-simplify]: Simplify (/ 1 1) into 1 3.175 * [backup-simplify]: Simplify (sqrt 0) into 0 3.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.176 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 3.176 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.176 * [taylor]: Taking taylor expansion of 2.0 in im 3.176 * [backup-simplify]: Simplify 2.0 into 2.0 3.176 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.177 * [taylor]: Taking taylor expansion of im in im 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 1 into 1 3.177 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 3.177 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 3.177 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.177 * [taylor]: Taking taylor expansion of re in im 3.177 * [backup-simplify]: Simplify re into re 3.177 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.177 * [taylor]: Taking taylor expansion of re in im 3.177 * [backup-simplify]: Simplify re into re 3.177 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.177 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.178 * [taylor]: Taking taylor expansion of im in im 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (* 1 1) into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [backup-simplify]: Simplify (+ 0 1) into 1 3.178 * [backup-simplify]: Simplify (sqrt 1) into 1 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ 0 0) into 0 3.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.181 * [backup-simplify]: Simplify (+ 0 1) into 1 3.182 * [backup-simplify]: Simplify (/ 1 1) into 1 3.182 * [backup-simplify]: Simplify (sqrt 0) into 0 3.183 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.184 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.184 * [taylor]: Taking taylor expansion of 0 in re 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.187 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.187 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.187 * [taylor]: Taking taylor expansion of +nan.0 in re 3.187 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.187 * [taylor]: Taking taylor expansion of 2.0 in re 3.187 * [backup-simplify]: Simplify 2.0 into 2.0 3.188 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.189 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.191 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.193 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 3.194 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 3.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.198 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.198 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.199 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.199 * [taylor]: Taking taylor expansion of +nan.0 in re 3.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.199 * [taylor]: Taking taylor expansion of 2.0 in re 3.199 * [backup-simplify]: Simplify 2.0 into 2.0 3.199 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.200 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.200 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.200 * [taylor]: Taking taylor expansion of +nan.0 in re 3.200 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.200 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.200 * [taylor]: Taking taylor expansion of 2.0 in re 3.200 * [backup-simplify]: Simplify 2.0 into 2.0 3.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.201 * [taylor]: Taking taylor expansion of re in re 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.202 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.203 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.207 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.209 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.211 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.212 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.212 * [backup-simplify]: Simplify (- 0) into 0 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.216 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.218 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.221 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 3.221 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 3.221 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.221 * [taylor]: Taking taylor expansion of +nan.0 in re 3.221 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.221 * [taylor]: Taking taylor expansion of 2.0 in re 3.221 * [backup-simplify]: Simplify 2.0 into 2.0 3.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.222 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 3.222 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 3.222 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.222 * [taylor]: Taking taylor expansion of +nan.0 in re 3.222 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.222 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.222 * [taylor]: Taking taylor expansion of 2.0 in re 3.222 * [backup-simplify]: Simplify 2.0 into 2.0 3.222 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.223 * [taylor]: Taking taylor expansion of re in re 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.223 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 3.223 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.223 * [taylor]: Taking taylor expansion of +nan.0 in re 3.223 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.223 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.223 * [taylor]: Taking taylor expansion of 2.0 in re 3.223 * [backup-simplify]: Simplify 2.0 into 2.0 3.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.224 * [taylor]: Taking taylor expansion of re in re 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (* 1 1) into 1 3.225 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.225 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.227 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.230 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (- 0) into 0 3.232 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.233 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.234 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.237 * [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)))))))) 3.237 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.237 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 3.237 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 3.237 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.237 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.237 * [taylor]: Taking taylor expansion of im in im 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.237 * [taylor]: Taking taylor expansion of re in im 3.237 * [backup-simplify]: Simplify re into re 3.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.237 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.237 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.237 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.237 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.238 * [taylor]: Taking taylor expansion of re in im 3.238 * [backup-simplify]: Simplify re into re 3.238 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.238 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.238 * [taylor]: Taking taylor expansion of im in re 3.238 * [backup-simplify]: Simplify im into im 3.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.238 * [taylor]: Taking taylor expansion of re in re 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.238 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.238 * [taylor]: Taking taylor expansion of re in re 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.238 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.238 * [taylor]: Taking taylor expansion of im in re 3.238 * [backup-simplify]: Simplify im into im 3.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.238 * [taylor]: Taking taylor expansion of re in re 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.239 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.239 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.239 * [backup-simplify]: Simplify (+ 0 0) into 0 3.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.239 * [taylor]: Taking taylor expansion of re in re 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (- 0) into 0 3.239 * [backup-simplify]: Simplify (+ im 0) into im 3.239 * [taylor]: Taking taylor expansion of im in im 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (- 1) into -1 3.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.240 * [taylor]: Taking taylor expansion of -1 in im 3.240 * [backup-simplify]: Simplify -1 into -1 3.240 * [backup-simplify]: Simplify -1 into -1 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (+ 0 1) into 1 3.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.241 * [backup-simplify]: Simplify (- 0) into 0 3.242 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.242 * [taylor]: Taking taylor expansion of 1/2 in im 3.242 * [backup-simplify]: Simplify 1/2 into 1/2 3.242 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.242 * [taylor]: Taking taylor expansion of im in im 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.244 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [taylor]: Taking taylor expansion of 0 in im 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.246 * [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)) 3.246 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.246 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.246 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.246 * [taylor]: Taking taylor expansion of re in im 3.246 * [backup-simplify]: Simplify re into re 3.246 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.246 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.246 * [taylor]: Taking taylor expansion of im in im 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (* 1 1) into 1 3.247 * [backup-simplify]: Simplify (/ 1 1) into 1 3.247 * [backup-simplify]: Simplify (+ 0 1) into 1 3.248 * [backup-simplify]: Simplify (sqrt 1) into 1 3.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (+ 0 0) into 0 3.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.250 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.250 * [taylor]: Taking taylor expansion of re in im 3.250 * [backup-simplify]: Simplify re into re 3.250 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.250 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.251 * [taylor]: Taking taylor expansion of re in re 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 1 into 1 3.251 * [backup-simplify]: Simplify (* 1 1) into 1 3.251 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.251 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.251 * [taylor]: Taking taylor expansion of im in re 3.251 * [backup-simplify]: Simplify im into im 3.252 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.252 * [backup-simplify]: Simplify (+ 1 0) into 1 3.252 * [backup-simplify]: Simplify (sqrt 1) into 1 3.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.255 * [taylor]: Taking taylor expansion of re in re 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.255 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.256 * [taylor]: Taking taylor expansion of re in re 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (* 1 1) into 1 3.256 * [backup-simplify]: Simplify (/ 1 1) into 1 3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.256 * [taylor]: Taking taylor expansion of im in re 3.256 * [backup-simplify]: Simplify im into im 3.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.257 * [backup-simplify]: Simplify (+ 1 0) into 1 3.257 * [backup-simplify]: Simplify (sqrt 1) into 1 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.260 * [taylor]: Taking taylor expansion of re in re 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.261 * [backup-simplify]: Simplify (- 1) into -1 3.261 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.261 * [taylor]: Taking taylor expansion of 0 in im 3.261 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- 0) into 0 3.263 * [backup-simplify]: Simplify (+ 0 0) into 0 3.263 * [taylor]: Taking taylor expansion of 0 in im 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.266 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (- 0) into 0 3.268 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.268 * [taylor]: Taking taylor expansion of 1/2 in im 3.268 * [backup-simplify]: Simplify 1/2 into 1/2 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.268 * [taylor]: Taking taylor expansion of im in im 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (* 1 1) into 1 3.269 * [backup-simplify]: Simplify (/ 1 1) into 1 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.276 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [taylor]: Taking taylor expansion of 0 in im 3.276 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [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))))) 3.279 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.280 * [taylor]: Taking taylor expansion of re in im 3.280 * [backup-simplify]: Simplify re into re 3.280 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.280 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.280 * [taylor]: Taking taylor expansion of re in im 3.280 * [backup-simplify]: Simplify re into re 3.280 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.280 * [taylor]: Taking taylor expansion of im in im 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 1 into 1 3.280 * [backup-simplify]: Simplify (* 1 1) into 1 3.281 * [backup-simplify]: Simplify (/ 1 1) into 1 3.281 * [backup-simplify]: Simplify (+ 0 1) into 1 3.282 * [backup-simplify]: Simplify (sqrt 1) into 1 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.284 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.284 * [taylor]: Taking taylor expansion of re in re 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (/ 1 1) into 1 3.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.285 * [taylor]: Taking taylor expansion of re in re 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.286 * [taylor]: Taking taylor expansion of im in re 3.286 * [backup-simplify]: Simplify im into im 3.286 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.286 * [backup-simplify]: Simplify (+ 1 0) into 1 3.287 * [backup-simplify]: Simplify (sqrt 1) into 1 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.289 * [taylor]: Taking taylor expansion of re in re 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.290 * [taylor]: Taking taylor expansion of re in re 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.293 * [backup-simplify]: Simplify (/ 1 1) into 1 3.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.293 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.293 * [taylor]: Taking taylor expansion of im in re 3.293 * [backup-simplify]: Simplify im into im 3.293 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.293 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.294 * [backup-simplify]: Simplify (+ 1 0) into 1 3.294 * [backup-simplify]: Simplify (sqrt 1) into 1 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.297 * [backup-simplify]: Simplify (+ 1 1) into 2 3.297 * [taylor]: Taking taylor expansion of 2 in im 3.297 * [backup-simplify]: Simplify 2 into 2 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [taylor]: Taking taylor expansion of 0 in im 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 2 into 2 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.302 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.303 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.303 * [taylor]: Taking taylor expansion of 1/2 in im 3.303 * [backup-simplify]: Simplify 1/2 into 1/2 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.303 * [taylor]: Taking taylor expansion of im in im 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (* 1 1) into 1 3.304 * [backup-simplify]: Simplify (/ 1 1) into 1 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.308 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.309 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [taylor]: Taking taylor expansion of 0 in im 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.311 * * * [progress]: simplifying candidates 3.311 * * * * [progress]: [ 1 / 122 ] simplifiying candidate # 3.311 * * * * [progress]: [ 2 / 122 ] simplifiying candidate # 3.311 * * * * [progress]: [ 3 / 122 ] simplifiying candidate # 3.311 * * * * [progress]: [ 4 / 122 ] simplifiying candidate # 3.311 * * * * [progress]: [ 5 / 122 ] simplifiying candidate # 3.311 * * * * [progress]: [ 6 / 122 ] simplifiying candidate # 3.311 * * * * [progress]: [ 7 / 122 ] simplifiying candidate # 3.311 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 3.311 * * [simplify]: iters left: 6 (8 enodes) 3.313 * * [simplify]: iters left: 5 (26 enodes) 3.316 * * [simplify]: Extracting #0: cost 1 inf + 0 3.317 * * [simplify]: Extracting #1: cost 4 inf + 0 3.317 * * [simplify]: Extracting #2: cost 7 inf + 0 3.317 * * [simplify]: Extracting #3: cost 10 inf + 0 3.317 * * [simplify]: Extracting #4: cost 14 inf + 0 3.317 * * [simplify]: Extracting #5: cost 10 inf + 84 3.317 * * [simplify]: Extracting #6: cost 8 inf + 166 3.317 * * [simplify]: Extracting #7: cost 4 inf + 854 3.317 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.317 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.318 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 3.318 * [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))))) 3.318 * * * * [progress]: [ 8 / 122 ] simplifiying candidate # 3.318 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.318 * * [simplify]: iters left: 6 (7 enodes) 3.320 * * [simplify]: iters left: 5 (22 enodes) 3.322 * * [simplify]: Extracting #0: cost 1 inf + 0 3.322 * * [simplify]: Extracting #1: cost 3 inf + 0 3.322 * * [simplify]: Extracting #2: cost 5 inf + 0 3.322 * * [simplify]: Extracting #3: cost 8 inf + 0 3.323 * * [simplify]: Extracting #4: cost 12 inf + 0 3.323 * * [simplify]: Extracting #5: cost 10 inf + 2 3.323 * * [simplify]: Extracting #6: cost 1 inf + 936 3.323 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.323 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.323 * [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))))) 3.323 * * * * [progress]: [ 9 / 122 ] simplifiying candidate # 3.323 * [simplify]: Simplifying (sqrt 1) 3.323 * * [simplify]: iters left: 1 (2 enodes) 3.326 * * [simplify]: Extracting #0: cost 1 inf + 0 3.326 * * [simplify]: Extracting #1: cost 0 inf + 1 3.326 * [simplify]: Simplified to 1 3.326 * [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))))) 3.326 * * * * [progress]: [ 10 / 122 ] simplifiying candidate # 3.326 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 3.326 * * [simplify]: iters left: 6 (9 enodes) 3.329 * * [simplify]: iters left: 5 (45 enodes) 3.343 * * [simplify]: iters left: 4 (100 enodes) 3.368 * * [simplify]: iters left: 3 (201 enodes) 3.441 * * [simplify]: iters left: 2 (406 enodes) 3.581 * * [simplify]: Extracting #0: cost 1 inf + 0 3.581 * * [simplify]: Extracting #1: cost 3 inf + 0 3.581 * * [simplify]: Extracting #2: cost 6 inf + 0 3.581 * * [simplify]: Extracting #3: cost 62 inf + 0 3.583 * * [simplify]: Extracting #4: cost 166 inf + 460 3.586 * * [simplify]: Extracting #5: cost 131 inf + 12951 3.593 * * [simplify]: Extracting #6: cost 49 inf + 45746 3.599 * * [simplify]: Extracting #7: cost 1 inf + 66256 3.604 * * [simplify]: Extracting #8: cost 0 inf + 65919 3.609 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 3.609 * [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))))) 3.610 * * * * [progress]: [ 11 / 122 ] simplifiying candidate # 3.610 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.610 * * [simplify]: iters left: 6 (8 enodes) 3.612 * * [simplify]: iters left: 5 (37 enodes) 3.618 * * [simplify]: iters left: 4 (67 enodes) 3.640 * * [simplify]: iters left: 3 (123 enodes) 3.692 * * [simplify]: iters left: 2 (278 enodes) 3.871 * * [simplify]: Extracting #0: cost 1 inf + 0 3.871 * * [simplify]: Extracting #1: cost 3 inf + 0 3.871 * * [simplify]: Extracting #2: cost 50 inf + 0 3.872 * * [simplify]: Extracting #3: cost 150 inf + 0 3.874 * * [simplify]: Extracting #4: cost 194 inf + 1180 3.878 * * [simplify]: Extracting #5: cost 123 inf + 12421 3.888 * * [simplify]: Extracting #6: cost 12 inf + 33804 3.901 * * [simplify]: Extracting #7: cost 0 inf + 36129 3.914 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.914 * [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))))) 3.914 * * * * [progress]: [ 12 / 122 ] simplifiying candidate # 3.915 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.915 * * [simplify]: iters left: 4 (5 enodes) 3.917 * * [simplify]: iters left: 3 (16 enodes) 3.921 * * [simplify]: Extracting #0: cost 1 inf + 0 3.921 * * [simplify]: Extracting #1: cost 4 inf + 0 3.921 * * [simplify]: Extracting #2: cost 8 inf + 0 3.921 * * [simplify]: Extracting #3: cost 4 inf + 84 3.921 * * [simplify]: Extracting #4: cost 0 inf + 410 3.921 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.921 * [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))))) 3.921 * * * * [progress]: [ 13 / 122 ] simplifiying candidate # 3.921 * * * * [progress]: [ 14 / 122 ] simplifiying candidate # 3.922 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.922 * * [simplify]: iters left: 5 (6 enodes) 3.924 * * [simplify]: iters left: 4 (19 enodes) 3.928 * * [simplify]: Extracting #0: cost 1 inf + 0 3.928 * * [simplify]: Extracting #1: cost 3 inf + 0 3.928 * * [simplify]: Extracting #2: cost 6 inf + 0 3.928 * * [simplify]: Extracting #3: cost 10 inf + 0 3.928 * * [simplify]: Extracting #4: cost 6 inf + 84 3.928 * * [simplify]: Extracting #5: cost 0 inf + 734 3.928 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.928 * [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))))) 3.928 * * * * [progress]: [ 15 / 122 ] simplifiying candidate # 3.928 * * * * [progress]: [ 16 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 3.928 * * * * [progress]: [ 17 / 122 ] simplifiying candidate # 3.929 * * * * [progress]: [ 18 / 122 ] simplifiying candidate # 3.929 * * * * [progress]: [ 19 / 122 ] simplifiying candidate # 3.929 * * * * [progress]: [ 20 / 122 ] simplifiying candidate # 3.929 * * * * [progress]: [ 21 / 122 ] simplifiying candidate # 3.929 * * * * [progress]: [ 22 / 122 ] simplifiying candidate # 3.929 * * * * [progress]: [ 23 / 122 ] simplifiying candidate # 3.929 * [simplify]: Simplifying (sqrt 2.0) 3.929 * * [simplify]: iters left: 1 (2 enodes) 3.930 * * [simplify]: Extracting #0: cost 1 inf + 0 3.930 * * [simplify]: Extracting #1: cost 3 inf + 0 3.930 * * [simplify]: Extracting #2: cost 2 inf + 1 3.930 * * [simplify]: Extracting #3: cost 0 inf + 83 3.930 * [simplify]: Simplified to (sqrt 2.0) 3.930 * [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))))) 3.931 * * * * [progress]: [ 24 / 122 ] simplifiying candidate # 3.931 * [simplify]: Simplifying (* 2.0 (* im im)) 3.931 * * [simplify]: iters left: 4 (4 enodes) 3.932 * * [simplify]: iters left: 3 (15 enodes) 3.935 * * [simplify]: iters left: 2 (19 enodes) 3.940 * * [simplify]: Extracting #0: cost 1 inf + 0 3.940 * * [simplify]: Extracting #1: cost 6 inf + 0 3.940 * * [simplify]: Extracting #2: cost 5 inf + 43 3.940 * * [simplify]: Extracting #3: cost 0 inf + 332 3.940 * [simplify]: Simplified to (* 2.0 (* im im)) 3.940 * [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))))) 3.940 * * * * [progress]: [ 25 / 122 ] simplifiying candidate # 3.940 * [simplify]: Simplifying (* 2.0 (* im im)) 3.941 * * [simplify]: iters left: 4 (4 enodes) 3.942 * * [simplify]: iters left: 3 (15 enodes) 3.944 * * [simplify]: iters left: 2 (19 enodes) 3.947 * * [simplify]: Extracting #0: cost 1 inf + 0 3.947 * * [simplify]: Extracting #1: cost 6 inf + 0 3.947 * * [simplify]: Extracting #2: cost 5 inf + 43 3.947 * * [simplify]: Extracting #3: cost 0 inf + 332 3.947 * [simplify]: Simplified to (* 2.0 (* im im)) 3.947 * [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))))) 3.948 * * * * [progress]: [ 26 / 122 ] simplifiying candidate # 3.948 * [simplify]: Simplifying (* 2.0 (* im im)) 3.948 * * [simplify]: iters left: 4 (4 enodes) 3.949 * * [simplify]: iters left: 3 (15 enodes) 3.952 * * [simplify]: iters left: 2 (19 enodes) 3.954 * * [simplify]: Extracting #0: cost 1 inf + 0 3.954 * * [simplify]: Extracting #1: cost 6 inf + 0 3.954 * * [simplify]: Extracting #2: cost 5 inf + 43 3.954 * * [simplify]: Extracting #3: cost 0 inf + 332 3.955 * [simplify]: Simplified to (* 2.0 (* im im)) 3.955 * [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))))) 3.955 * * * * [progress]: [ 27 / 122 ] simplifiying candidate # 3.955 * * * * [progress]: [ 28 / 122 ] simplifiying candidate # 3.955 * * * * [progress]: [ 29 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 3.955 * * * * [progress]: [ 30 / 122 ] simplifiying candidate # 3.955 * * * * [progress]: [ 31 / 122 ] simplifiying candidate # 3.955 * [simplify]: Simplifying (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 3.955 * * [simplify]: iters left: 6 (14 enodes) 3.961 * * [simplify]: iters left: 5 (50 enodes) 3.969 * * [simplify]: iters left: 4 (60 enodes) 3.978 * * [simplify]: Extracting #0: cost 1 inf + 0 3.978 * * [simplify]: Extracting #1: cost 5 inf + 0 3.978 * * [simplify]: Extracting #2: cost 10 inf + 0 3.978 * * [simplify]: Extracting #3: cost 14 inf + 0 3.978 * * [simplify]: Extracting #4: cost 23 inf + 0 3.978 * * [simplify]: Extracting #5: cost 24 inf + 44 3.978 * * [simplify]: Extracting #6: cost 17 inf + 729 3.978 * * [simplify]: Extracting #7: cost 13 inf + 1368 3.979 * * [simplify]: Extracting #8: cost 4 inf + 3396 3.980 * * [simplify]: Extracting #9: cost 0 inf + 4915 3.980 * [simplify]: Simplified to (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 3.980 * [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))))))) 3.981 * * * * [progress]: [ 32 / 122 ] simplifiying candidate # 3.981 * * * * [progress]: [ 33 / 122 ] simplifiying candidate # 3.981 * * * * [progress]: [ 34 / 122 ] simplifiying candidate # 3.981 * [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)))) 3.981 * * [simplify]: iters left: 6 (16 enodes) 3.985 * * [simplify]: iters left: 5 (59 enodes) 3.999 * * [simplify]: iters left: 4 (145 enodes) 4.060 * * [simplify]: iters left: 3 (477 enodes) 4.376 * * [simplify]: Extracting #0: cost 1 inf + 0 4.376 * * [simplify]: Extracting #1: cost 139 inf + 0 4.379 * * [simplify]: Extracting #2: cost 309 inf + 168 4.382 * * [simplify]: Extracting #3: cost 339 inf + 1766 4.391 * * [simplify]: Extracting #4: cost 313 inf + 5320 4.397 * * [simplify]: Extracting #5: cost 307 inf + 6547 4.403 * * [simplify]: Extracting #6: cost 286 inf + 12012 4.423 * * [simplify]: Extracting #7: cost 173 inf + 51082 4.458 * * [simplify]: Extracting #8: cost 31 inf + 108716 4.516 * * [simplify]: Extracting #9: cost 0 inf + 122824 4.551 * [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)))) 4.551 * [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))))))) 4.551 * * * * [progress]: [ 35 / 122 ] simplifiying candidate # 4.551 * * * * [progress]: [ 36 / 122 ] simplifiying candidate # 4.551 * * * * [progress]: [ 37 / 122 ] simplifiying candidate # 4.551 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 4.551 * * [simplify]: iters left: 6 (10 enodes) 4.554 * * [simplify]: iters left: 5 (38 enodes) 4.560 * * [simplify]: iters left: 4 (57 enodes) 4.569 * * [simplify]: iters left: 3 (84 enodes) 4.591 * * [simplify]: iters left: 2 (124 enodes) 4.621 * * [simplify]: iters left: 1 (145 enodes) 4.641 * * [simplify]: Extracting #0: cost 1 inf + 0 4.641 * * [simplify]: Extracting #1: cost 16 inf + 0 4.641 * * [simplify]: Extracting #2: cost 40 inf + 2 4.641 * * [simplify]: Extracting #3: cost 46 inf + 375 4.641 * * [simplify]: Extracting #4: cost 36 inf + 1320 4.642 * * [simplify]: Extracting #5: cost 23 inf + 3790 4.645 * * [simplify]: Extracting #6: cost 0 inf + 8845 4.647 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 4.647 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) 4.647 * * * * [progress]: [ 38 / 122 ] simplifiying candidate # 4.647 * * * * [progress]: [ 39 / 122 ] simplifiying candidate # 4.647 * * * * [progress]: [ 40 / 122 ] simplifiying candidate # 4.648 * [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))))) 4.648 * * [simplify]: iters left: 6 (16 enodes) 4.651 * * [simplify]: iters left: 5 (60 enodes) 4.660 * * [simplify]: iters left: 4 (82 enodes) 4.671 * * [simplify]: iters left: 3 (89 enodes) 4.691 * * [simplify]: iters left: 2 (92 enodes) 4.705 * * [simplify]: Extracting #0: cost 1 inf + 0 4.705 * * [simplify]: Extracting #1: cost 11 inf + 0 4.705 * * [simplify]: Extracting #2: cost 22 inf + 0 4.705 * * [simplify]: Extracting #3: cost 26 inf + 0 4.705 * * [simplify]: Extracting #4: cost 35 inf + 0 4.705 * * [simplify]: Extracting #5: cost 37 inf + 3 4.705 * * [simplify]: Extracting #6: cost 29 inf + 739 4.706 * * [simplify]: Extracting #7: cost 25 inf + 1588 4.706 * * [simplify]: Extracting #8: cost 23 inf + 1751 4.706 * * [simplify]: Extracting #9: cost 16 inf + 3165 4.708 * * [simplify]: Extracting #10: cost 1 inf + 10566 4.710 * * [simplify]: Extracting #11: cost 0 inf + 11049 4.712 * [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))))) 4.712 * [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))))))) 4.712 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.712 * * [simplify]: iters left: 6 (14 enodes) 4.717 * * [simplify]: iters left: 5 (48 enodes) 4.724 * * [simplify]: iters left: 4 (55 enodes) 4.739 * * [simplify]: Extracting #0: cost 1 inf + 0 4.739 * * [simplify]: Extracting #1: cost 4 inf + 0 4.739 * * [simplify]: Extracting #2: cost 8 inf + 0 4.739 * * [simplify]: Extracting #3: cost 12 inf + 0 4.739 * * [simplify]: Extracting #4: cost 21 inf + 0 4.739 * * [simplify]: Extracting #5: cost 22 inf + 44 4.740 * * [simplify]: Extracting #6: cost 14 inf + 861 4.740 * * [simplify]: Extracting #7: cost 10 inf + 1510 4.741 * * [simplify]: Extracting #8: cost 2 inf + 3526 4.742 * * [simplify]: Extracting #9: cost 0 inf + 4291 4.744 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.744 * [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))))))) 4.744 * * * * [progress]: [ 41 / 122 ] simplifiying candidate # 4.744 * [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))))) 4.745 * * [simplify]: iters left: 6 (16 enodes) 4.752 * * [simplify]: iters left: 5 (57 enodes) 4.769 * * [simplify]: iters left: 4 (68 enodes) 4.788 * * [simplify]: iters left: 3 (71 enodes) 4.807 * * [simplify]: Extracting #0: cost 1 inf + 0 4.807 * * [simplify]: Extracting #1: cost 7 inf + 0 4.807 * * [simplify]: Extracting #2: cost 15 inf + 0 4.807 * * [simplify]: Extracting #3: cost 20 inf + 0 4.807 * * [simplify]: Extracting #4: cost 29 inf + 0 4.807 * * [simplify]: Extracting #5: cost 30 inf + 44 4.808 * * [simplify]: Extracting #6: cost 22 inf + 861 4.808 * * [simplify]: Extracting #7: cost 18 inf + 1710 4.809 * * [simplify]: Extracting #8: cost 10 inf + 3205 4.811 * * [simplify]: Extracting #9: cost 3 inf + 6102 4.813 * * [simplify]: Extracting #10: cost 0 inf + 7671 4.816 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.816 * [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))))))) 4.816 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.816 * * [simplify]: iters left: 6 (14 enodes) 4.821 * * [simplify]: iters left: 5 (48 enodes) 4.828 * * [simplify]: iters left: 4 (55 enodes) 4.835 * * [simplify]: Extracting #0: cost 1 inf + 0 4.835 * * [simplify]: Extracting #1: cost 4 inf + 0 4.835 * * [simplify]: Extracting #2: cost 8 inf + 0 4.835 * * [simplify]: Extracting #3: cost 12 inf + 0 4.835 * * [simplify]: Extracting #4: cost 21 inf + 0 4.835 * * [simplify]: Extracting #5: cost 22 inf + 44 4.836 * * [simplify]: Extracting #6: cost 14 inf + 861 4.836 * * [simplify]: Extracting #7: cost 10 inf + 1510 4.836 * * [simplify]: Extracting #8: cost 2 inf + 3566 4.837 * * [simplify]: Extracting #9: cost 0 inf + 4371 4.838 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.838 * [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))))))) 4.838 * * * * [progress]: [ 42 / 122 ] simplifiying candidate # 4.838 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.838 * * [simplify]: iters left: 6 (15 enodes) 4.842 * * [simplify]: iters left: 5 (53 enodes) 4.853 * * [simplify]: iters left: 4 (64 enodes) 4.871 * * [simplify]: iters left: 3 (67 enodes) 4.889 * * [simplify]: Extracting #0: cost 1 inf + 0 4.889 * * [simplify]: Extracting #1: cost 7 inf + 0 4.889 * * [simplify]: Extracting #2: cost 14 inf + 0 4.890 * * [simplify]: Extracting #3: cost 18 inf + 0 4.890 * * [simplify]: Extracting #4: cost 27 inf + 0 4.890 * * [simplify]: Extracting #5: cost 29 inf + 3 4.890 * * [simplify]: Extracting #6: cost 20 inf + 941 4.891 * * [simplify]: Extracting #7: cost 15 inf + 1832 4.892 * * [simplify]: Extracting #8: cost 7 inf + 3407 4.893 * * [simplify]: Extracting #9: cost 2 inf + 5661 4.895 * * [simplify]: Extracting #10: cost 0 inf + 6627 4.897 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.897 * [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))))))) 4.898 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.898 * * [simplify]: iters left: 6 (14 enodes) 4.905 * * [simplify]: iters left: 5 (48 enodes) 4.919 * * [simplify]: iters left: 4 (55 enodes) 4.934 * * [simplify]: Extracting #0: cost 1 inf + 0 4.934 * * [simplify]: Extracting #1: cost 4 inf + 0 4.934 * * [simplify]: Extracting #2: cost 8 inf + 0 4.934 * * [simplify]: Extracting #3: cost 12 inf + 0 4.934 * * [simplify]: Extracting #4: cost 21 inf + 0 4.935 * * [simplify]: Extracting #5: cost 22 inf + 44 4.935 * * [simplify]: Extracting #6: cost 14 inf + 861 4.935 * * [simplify]: Extracting #7: cost 10 inf + 1510 4.936 * * [simplify]: Extracting #8: cost 2 inf + 3406 4.938 * * [simplify]: Extracting #9: cost 0 inf + 4131 4.939 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.939 * [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))))))) 4.939 * * * * [progress]: [ 43 / 122 ] simplifiying candidate # 4.940 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 4.940 * * [simplify]: iters left: 6 (10 enodes) 4.946 * * [simplify]: iters left: 5 (37 enodes) 4.957 * * [simplify]: iters left: 4 (47 enodes) 4.971 * * [simplify]: iters left: 3 (51 enodes) 4.984 * * [simplify]: iters left: 2 (52 enodes) 4.999 * * [simplify]: Extracting #0: cost 1 inf + 0 4.999 * * [simplify]: Extracting #1: cost 5 inf + 0 4.999 * * [simplify]: Extracting #2: cost 7 inf + 1 4.999 * * [simplify]: Extracting #3: cost 9 inf + 1 4.999 * * [simplify]: Extracting #4: cost 14 inf + 1 4.999 * * [simplify]: Extracting #5: cost 14 inf + 3 5.000 * * [simplify]: Extracting #6: cost 8 inf + 333 5.000 * * [simplify]: Extracting #7: cost 3 inf + 1223 5.001 * * [simplify]: Extracting #8: cost 0 inf + 1951 5.002 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 5.002 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.002 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.002 * * [simplify]: iters left: 6 (13 enodes) 5.008 * * [simplify]: iters left: 5 (45 enodes) 5.014 * * [simplify]: iters left: 4 (52 enodes) 5.021 * * [simplify]: Extracting #0: cost 1 inf + 0 5.021 * * [simplify]: Extracting #1: cost 4 inf + 0 5.021 * * [simplify]: Extracting #2: cost 8 inf + 0 5.021 * * [simplify]: Extracting #3: cost 14 inf + 0 5.021 * * [simplify]: Extracting #4: cost 20 inf + 42 5.021 * * [simplify]: Extracting #5: cost 21 inf + 85 5.022 * * [simplify]: Extracting #6: cost 13 inf + 940 5.022 * * [simplify]: Extracting #7: cost 1 inf + 3044 5.023 * * [simplify]: Extracting #8: cost 0 inf + 3487 5.023 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.023 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.023 * * * * [progress]: [ 44 / 122 ] simplifiying candidate # 5.023 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.024 * * [simplify]: iters left: 6 (16 enodes) 5.027 * * [simplify]: iters left: 5 (55 enodes) 5.035 * * [simplify]: iters left: 4 (63 enodes) 5.047 * * [simplify]: iters left: 3 (66 enodes) 5.064 * * [simplify]: Extracting #0: cost 1 inf + 0 5.065 * * [simplify]: Extracting #1: cost 7 inf + 0 5.065 * * [simplify]: Extracting #2: cost 14 inf + 0 5.065 * * [simplify]: Extracting #3: cost 19 inf + 0 5.065 * * [simplify]: Extracting #4: cost 28 inf + 0 5.065 * * [simplify]: Extracting #5: cost 28 inf + 44 5.065 * * [simplify]: Extracting #6: cost 23 inf + 615 5.066 * * [simplify]: Extracting #7: cost 16 inf + 1710 5.067 * * [simplify]: Extracting #8: cost 10 inf + 2681 5.068 * * [simplify]: Extracting #9: cost 3 inf + 5418 5.070 * * [simplify]: Extracting #10: cost 0 inf + 7027 5.073 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 5.073 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.073 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.073 * * [simplify]: iters left: 6 (15 enodes) 5.080 * * [simplify]: iters left: 5 (51 enodes) 5.095 * * [simplify]: iters left: 4 (58 enodes) 5.113 * * [simplify]: Extracting #0: cost 1 inf + 0 5.113 * * [simplify]: Extracting #1: cost 4 inf + 0 5.113 * * [simplify]: Extracting #2: cost 8 inf + 0 5.113 * * [simplify]: Extracting #3: cost 14 inf + 0 5.113 * * [simplify]: Extracting #4: cost 24 inf + 0 5.114 * * [simplify]: Extracting #5: cost 21 inf + 247 5.114 * * [simplify]: Extracting #6: cost 15 inf + 981 5.114 * * [simplify]: Extracting #7: cost 10 inf + 1672 5.115 * * [simplify]: Extracting #8: cost 3 inf + 3165 5.116 * * [simplify]: Extracting #9: cost 0 inf + 4533 5.116 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.116 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.117 * * * * [progress]: [ 45 / 122 ] simplifiying candidate # 5.117 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.117 * * [simplify]: iters left: 6 (16 enodes) 5.120 * * [simplify]: iters left: 5 (55 enodes) 5.128 * * [simplify]: iters left: 4 (63 enodes) 5.136 * * [simplify]: iters left: 3 (66 enodes) 5.145 * * [simplify]: Extracting #0: cost 1 inf + 0 5.145 * * [simplify]: Extracting #1: cost 7 inf + 0 5.145 * * [simplify]: Extracting #2: cost 14 inf + 0 5.145 * * [simplify]: Extracting #3: cost 19 inf + 0 5.145 * * [simplify]: Extracting #4: cost 28 inf + 0 5.145 * * [simplify]: Extracting #5: cost 28 inf + 44 5.145 * * [simplify]: Extracting #6: cost 23 inf + 615 5.146 * * [simplify]: Extracting #7: cost 16 inf + 1710 5.146 * * [simplify]: Extracting #8: cost 10 inf + 2681 5.147 * * [simplify]: Extracting #9: cost 3 inf + 5418 5.149 * * [simplify]: Extracting #10: cost 0 inf + 7027 5.152 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 5.152 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.152 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.152 * * [simplify]: iters left: 6 (15 enodes) 5.159 * * [simplify]: iters left: 5 (51 enodes) 5.173 * * [simplify]: iters left: 4 (58 enodes) 5.180 * * [simplify]: Extracting #0: cost 1 inf + 0 5.180 * * [simplify]: Extracting #1: cost 4 inf + 0 5.181 * * [simplify]: Extracting #2: cost 8 inf + 0 5.181 * * [simplify]: Extracting #3: cost 14 inf + 0 5.181 * * [simplify]: Extracting #4: cost 24 inf + 0 5.181 * * [simplify]: Extracting #5: cost 21 inf + 247 5.181 * * [simplify]: Extracting #6: cost 15 inf + 981 5.181 * * [simplify]: Extracting #7: cost 10 inf + 1672 5.182 * * [simplify]: Extracting #8: cost 3 inf + 3165 5.183 * * [simplify]: Extracting #9: cost 0 inf + 4533 5.183 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.183 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.183 * * * * [progress]: [ 46 / 122 ] simplifiying candidate # 5.184 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 5.184 * * [simplify]: iters left: 6 (10 enodes) 5.187 * * [simplify]: iters left: 5 (37 enodes) 5.193 * * [simplify]: iters left: 4 (47 enodes) 5.201 * * [simplify]: iters left: 3 (51 enodes) 5.208 * * [simplify]: iters left: 2 (52 enodes) 5.214 * * [simplify]: Extracting #0: cost 1 inf + 0 5.214 * * [simplify]: Extracting #1: cost 5 inf + 0 5.214 * * [simplify]: Extracting #2: cost 7 inf + 1 5.214 * * [simplify]: Extracting #3: cost 9 inf + 1 5.214 * * [simplify]: Extracting #4: cost 14 inf + 1 5.214 * * [simplify]: Extracting #5: cost 14 inf + 3 5.214 * * [simplify]: Extracting #6: cost 8 inf + 333 5.214 * * [simplify]: Extracting #7: cost 3 inf + 1223 5.215 * * [simplify]: Extracting #8: cost 0 inf + 1951 5.215 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 5.215 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.216 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.216 * * [simplify]: iters left: 6 (13 enodes) 5.218 * * [simplify]: iters left: 5 (45 enodes) 5.225 * * [simplify]: iters left: 4 (52 enodes) 5.232 * * [simplify]: Extracting #0: cost 1 inf + 0 5.233 * * [simplify]: Extracting #1: cost 4 inf + 0 5.233 * * [simplify]: Extracting #2: cost 8 inf + 0 5.233 * * [simplify]: Extracting #3: cost 14 inf + 0 5.233 * * [simplify]: Extracting #4: cost 20 inf + 42 5.233 * * [simplify]: Extracting #5: cost 21 inf + 85 5.233 * * [simplify]: Extracting #6: cost 13 inf + 940 5.234 * * [simplify]: Extracting #7: cost 1 inf + 3044 5.235 * * [simplify]: Extracting #8: cost 0 inf + 3487 5.236 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.236 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.236 * * * * [progress]: [ 47 / 122 ] simplifiying candidate # 5.237 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.237 * * [simplify]: iters left: 6 (15 enodes) 5.244 * * [simplify]: iters left: 5 (53 enodes) 5.259 * * [simplify]: iters left: 4 (64 enodes) 5.276 * * [simplify]: iters left: 3 (67 enodes) 5.290 * * [simplify]: Extracting #0: cost 1 inf + 0 5.290 * * [simplify]: Extracting #1: cost 7 inf + 0 5.290 * * [simplify]: Extracting #2: cost 14 inf + 0 5.290 * * [simplify]: Extracting #3: cost 18 inf + 0 5.291 * * [simplify]: Extracting #4: cost 27 inf + 0 5.291 * * [simplify]: Extracting #5: cost 29 inf + 3 5.291 * * [simplify]: Extracting #6: cost 20 inf + 941 5.291 * * [simplify]: Extracting #7: cost 15 inf + 1832 5.292 * * [simplify]: Extracting #8: cost 7 inf + 3407 5.292 * * [simplify]: Extracting #9: cost 2 inf + 5661 5.293 * * [simplify]: Extracting #10: cost 0 inf + 6627 5.294 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.294 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.295 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.295 * * [simplify]: iters left: 6 (14 enodes) 5.298 * * [simplify]: iters left: 5 (48 enodes) 5.307 * * [simplify]: iters left: 4 (55 enodes) 5.314 * * [simplify]: Extracting #0: cost 1 inf + 0 5.314 * * [simplify]: Extracting #1: cost 4 inf + 0 5.314 * * [simplify]: Extracting #2: cost 8 inf + 0 5.314 * * [simplify]: Extracting #3: cost 12 inf + 0 5.314 * * [simplify]: Extracting #4: cost 21 inf + 0 5.314 * * [simplify]: Extracting #5: cost 22 inf + 44 5.314 * * [simplify]: Extracting #6: cost 14 inf + 861 5.315 * * [simplify]: Extracting #7: cost 10 inf + 1510 5.315 * * [simplify]: Extracting #8: cost 2 inf + 3406 5.316 * * [simplify]: Extracting #9: cost 0 inf + 4131 5.317 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.317 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.317 * * * * [progress]: [ 48 / 122 ] simplifiying candidate # 5.317 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) 5.317 * * [simplify]: iters left: 6 (9 enodes) 5.320 * * [simplify]: iters left: 5 (32 enodes) 5.327 * * [simplify]: iters left: 4 (46 enodes) 5.340 * * [simplify]: iters left: 3 (47 enodes) 5.353 * * [simplify]: Extracting #0: cost 1 inf + 0 5.353 * * [simplify]: Extracting #1: cost 5 inf + 0 5.353 * * [simplify]: Extracting #2: cost 7 inf + 1 5.353 * * [simplify]: Extracting #3: cost 9 inf + 1 5.353 * * [simplify]: Extracting #4: cost 14 inf + 1 5.353 * * [simplify]: Extracting #5: cost 14 inf + 3 5.353 * * [simplify]: Extracting #6: cost 11 inf + 168 5.354 * * [simplify]: Extracting #7: cost 4 inf + 1022 5.354 * * [simplify]: Extracting #8: cost 0 inf + 1951 5.355 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 5.355 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.356 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.356 * * [simplify]: iters left: 6 (13 enodes) 5.362 * * [simplify]: iters left: 5 (45 enodes) 5.371 * * [simplify]: iters left: 4 (52 enodes) 5.378 * * [simplify]: Extracting #0: cost 1 inf + 0 5.378 * * [simplify]: Extracting #1: cost 4 inf + 0 5.378 * * [simplify]: Extracting #2: cost 8 inf + 0 5.378 * * [simplify]: Extracting #3: cost 14 inf + 0 5.378 * * [simplify]: Extracting #4: cost 20 inf + 42 5.378 * * [simplify]: Extracting #5: cost 21 inf + 85 5.378 * * [simplify]: Extracting #6: cost 13 inf + 940 5.379 * * [simplify]: Extracting #7: cost 1 inf + 3044 5.379 * * [simplify]: Extracting #8: cost 0 inf + 3487 5.380 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.380 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.380 * * * * [progress]: [ 49 / 122 ] simplifiying candidate # 5.380 * [simplify]: Simplifying (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.380 * * [simplify]: iters left: 6 (13 enodes) 5.383 * * [simplify]: iters left: 5 (44 enodes) 5.390 * * [simplify]: iters left: 4 (49 enodes) 5.396 * * [simplify]: Extracting #0: cost 1 inf + 0 5.397 * * [simplify]: Extracting #1: cost 6 inf + 0 5.397 * * [simplify]: Extracting #2: cost 12 inf + 0 5.397 * * [simplify]: Extracting #3: cost 13 inf + 1 5.397 * * [simplify]: Extracting #4: cost 16 inf + 42 5.397 * * [simplify]: Extracting #5: cost 16 inf + 125 5.397 * * [simplify]: Extracting #6: cost 18 inf + 166 5.397 * * [simplify]: Extracting #7: cost 20 inf + 207 5.397 * * [simplify]: Extracting #8: cost 17 inf + 290 5.397 * * [simplify]: Extracting #9: cost 10 inf + 1343 5.398 * * [simplify]: Extracting #10: cost 2 inf + 4001 5.399 * * [simplify]: Extracting #11: cost 0 inf + 4847 5.400 * [simplify]: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.400 * [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))))))) 5.400 * [simplify]: Simplifying (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.400 * * [simplify]: iters left: 6 (11 enodes) 5.407 * * [simplify]: iters left: 5 (37 enodes) 5.417 * * [simplify]: iters left: 4 (40 enodes) 5.427 * * [simplify]: Extracting #0: cost 1 inf + 0 5.427 * * [simplify]: Extracting #1: cost 4 inf + 0 5.427 * * [simplify]: Extracting #2: cost 9 inf + 0 5.427 * * [simplify]: Extracting #3: cost 11 inf + 1 5.427 * * [simplify]: Extracting #4: cost 11 inf + 165 5.427 * * [simplify]: Extracting #5: cost 13 inf + 166 5.427 * * [simplify]: Extracting #6: cost 13 inf + 248 5.428 * * [simplify]: Extracting #7: cost 11 inf + 533 5.428 * * [simplify]: Extracting #8: cost 6 inf + 1302 5.429 * * [simplify]: Extracting #9: cost 2 inf + 2430 5.430 * * [simplify]: Extracting #10: cost 1 inf + 2832 5.430 * * [simplify]: Extracting #11: cost 0 inf + 3234 5.431 * [simplify]: Simplified to (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 5.431 * [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))))))) 5.432 * * * * [progress]: [ 50 / 122 ] simplifiying candidate # 5.432 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.432 * * [simplify]: iters left: 6 (13 enodes) 5.440 * * [simplify]: iters left: 5 (43 enodes) 5.453 * * [simplify]: iters left: 4 (46 enodes) 5.462 * * [simplify]: Extracting #0: cost 1 inf + 0 5.462 * * [simplify]: Extracting #1: cost 4 inf + 0 5.462 * * [simplify]: Extracting #2: cost 9 inf + 0 5.462 * * [simplify]: Extracting #3: cost 11 inf + 1 5.462 * * [simplify]: Extracting #4: cost 13 inf + 83 5.462 * * [simplify]: Extracting #5: cost 14 inf + 125 5.463 * * [simplify]: Extracting #6: cost 16 inf + 166 5.463 * * [simplify]: Extracting #7: cost 18 inf + 207 5.463 * * [simplify]: Extracting #8: cost 14 inf + 331 5.463 * * [simplify]: Extracting #9: cost 8 inf + 1383 5.463 * * [simplify]: Extracting #10: cost 1 inf + 3558 5.464 * * [simplify]: Extracting #11: cost 0 inf + 3961 5.465 * [simplify]: Simplified to (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.465 * [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))))))) 5.465 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.465 * * [simplify]: iters left: 6 (11 enodes) 5.467 * * [simplify]: iters left: 5 (37 enodes) 5.472 * * [simplify]: iters left: 4 (40 enodes) 5.477 * * [simplify]: Extracting #0: cost 1 inf + 0 5.477 * * [simplify]: Extracting #1: cost 4 inf + 0 5.477 * * [simplify]: Extracting #2: cost 9 inf + 0 5.477 * * [simplify]: Extracting #3: cost 11 inf + 1 5.477 * * [simplify]: Extracting #4: cost 11 inf + 165 5.477 * * [simplify]: Extracting #5: cost 13 inf + 166 5.477 * * [simplify]: Extracting #6: cost 13 inf + 248 5.477 * * [simplify]: Extracting #7: cost 11 inf + 533 5.477 * * [simplify]: Extracting #8: cost 6 inf + 1302 5.478 * * [simplify]: Extracting #9: cost 2 inf + 2510 5.478 * * [simplify]: Extracting #10: cost 1 inf + 2912 5.479 * * [simplify]: Extracting #11: cost 0 inf + 3314 5.479 * [simplify]: Simplified to (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 5.479 * [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))))))) 5.479 * * * * [progress]: [ 51 / 122 ] simplifiying candidate # 5.479 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.479 * * [simplify]: iters left: 6 (12 enodes) 5.482 * * [simplify]: iters left: 5 (39 enodes) 5.488 * * [simplify]: iters left: 4 (42 enodes) 5.494 * * [simplify]: Extracting #0: cost 1 inf + 0 5.494 * * [simplify]: Extracting #1: cost 4 inf + 0 5.494 * * [simplify]: Extracting #2: cost 8 inf + 0 5.494 * * [simplify]: Extracting #3: cost 9 inf + 1 5.494 * * [simplify]: Extracting #4: cost 11 inf + 83 5.494 * * [simplify]: Extracting #5: cost 12 inf + 125 5.494 * * [simplify]: Extracting #6: cost 14 inf + 166 5.494 * * [simplify]: Extracting #7: cost 16 inf + 207 5.495 * * [simplify]: Extracting #8: cost 13 inf + 290 5.495 * * [simplify]: Extracting #9: cost 8 inf + 899 5.495 * * [simplify]: Extracting #10: cost 4 inf + 1787 5.495 * * [simplify]: Extracting #11: cost 1 inf + 2714 5.496 * * [simplify]: Extracting #12: cost 0 inf + 3077 5.496 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.496 * [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))))))) 5.497 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.497 * * [simplify]: iters left: 6 (11 enodes) 5.499 * * [simplify]: iters left: 5 (37 enodes) 5.509 * * [simplify]: iters left: 4 (40 enodes) 5.521 * * [simplify]: Extracting #0: cost 1 inf + 0 5.521 * * [simplify]: Extracting #1: cost 4 inf + 0 5.521 * * [simplify]: Extracting #2: cost 9 inf + 0 5.521 * * [simplify]: Extracting #3: cost 11 inf + 1 5.522 * * [simplify]: Extracting #4: cost 11 inf + 165 5.522 * * [simplify]: Extracting #5: cost 13 inf + 166 5.522 * * [simplify]: Extracting #6: cost 13 inf + 248 5.522 * * [simplify]: Extracting #7: cost 11 inf + 533 5.523 * * [simplify]: Extracting #8: cost 6 inf + 1302 5.524 * * [simplify]: Extracting #9: cost 2 inf + 2350 5.525 * * [simplify]: Extracting #10: cost 1 inf + 2712 5.526 * * [simplify]: Extracting #11: cost 0 inf + 3074 5.527 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 5.527 * [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))))))) 5.527 * * * * [progress]: [ 52 / 122 ] simplifiying candidate # 5.528 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 5.528 * * [simplify]: iters left: 3 (5 enodes) 5.533 * * [simplify]: iters left: 2 (17 enodes) 5.539 * * [simplify]: iters left: 1 (19 enodes) 5.545 * * [simplify]: Extracting #0: cost 1 inf + 0 5.545 * * [simplify]: Extracting #1: cost 4 inf + 0 5.545 * * [simplify]: Extracting #2: cost 2 inf + 2 5.545 * * [simplify]: Extracting #3: cost 0 inf + 84 5.545 * [simplify]: Simplified to (sqrt 2.0) 5.545 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.545 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.546 * * [simplify]: iters left: 6 (10 enodes) 5.550 * * [simplify]: iters left: 5 (34 enodes) 5.559 * * [simplify]: iters left: 4 (37 enodes) 5.569 * * [simplify]: Extracting #0: cost 1 inf + 0 5.569 * * [simplify]: Extracting #1: cost 4 inf + 0 5.569 * * [simplify]: Extracting #2: cost 9 inf + 0 5.569 * * [simplify]: Extracting #3: cost 13 inf + 1 5.569 * * [simplify]: Extracting #4: cost 10 inf + 207 5.569 * * [simplify]: Extracting #5: cost 11 inf + 248 5.569 * * [simplify]: Extracting #6: cost 9 inf + 533 5.570 * * [simplify]: Extracting #7: cost 5 inf + 1100 5.571 * * [simplify]: Extracting #8: cost 1 inf + 2108 5.571 * * [simplify]: Extracting #9: cost 0 inf + 2430 5.572 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 5.572 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 5.572 * * * * [progress]: [ 53 / 122 ] simplifiying candidate # 5.573 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.573 * * [simplify]: iters left: 6 (13 enodes) 5.579 * * [simplify]: iters left: 5 (41 enodes) 5.591 * * [simplify]: Extracting #0: cost 1 inf + 0 5.591 * * [simplify]: Extracting #1: cost 4 inf + 0 5.591 * * [simplify]: Extracting #2: cost 8 inf + 0 5.591 * * [simplify]: Extracting #3: cost 10 inf + 1 5.592 * * [simplify]: Extracting #4: cost 12 inf + 83 5.592 * * [simplify]: Extracting #5: cost 12 inf + 125 5.592 * * [simplify]: Extracting #6: cost 14 inf + 166 5.592 * * [simplify]: Extracting #7: cost 16 inf + 207 5.592 * * [simplify]: Extracting #8: cost 13 inf + 290 5.593 * * [simplify]: Extracting #9: cost 10 inf + 615 5.594 * * [simplify]: Extracting #10: cost 5 inf + 1705 5.594 * * [simplify]: Extracting #11: cost 1 inf + 2914 5.596 * * [simplify]: Extracting #12: cost 0 inf + 3317 5.597 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.597 * [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))))))) 5.597 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.598 * * [simplify]: iters left: 6 (12 enodes) 5.603 * * [simplify]: iters left: 5 (40 enodes) 5.610 * * [simplify]: iters left: 4 (43 enodes) 5.615 * * [simplify]: Extracting #0: cost 1 inf + 0 5.615 * * [simplify]: Extracting #1: cost 4 inf + 0 5.615 * * [simplify]: Extracting #2: cost 9 inf + 0 5.615 * * [simplify]: Extracting #3: cost 13 inf + 1 5.615 * * [simplify]: Extracting #4: cost 15 inf + 124 5.616 * * [simplify]: Extracting #5: cost 15 inf + 166 5.616 * * [simplify]: Extracting #6: cost 14 inf + 329 5.616 * * [simplify]: Extracting #7: cost 12 inf + 573 5.616 * * [simplify]: Extracting #8: cost 6 inf + 1544 5.617 * * [simplify]: Extracting #9: cost 0 inf + 3476 5.617 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 5.617 * [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))))))) 5.617 * * * * [progress]: [ 54 / 122 ] simplifiying candidate # 5.617 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.617 * * [simplify]: iters left: 6 (13 enodes) 5.621 * * [simplify]: iters left: 5 (41 enodes) 5.626 * * [simplify]: Extracting #0: cost 1 inf + 0 5.627 * * [simplify]: Extracting #1: cost 4 inf + 0 5.627 * * [simplify]: Extracting #2: cost 8 inf + 0 5.627 * * [simplify]: Extracting #3: cost 10 inf + 1 5.627 * * [simplify]: Extracting #4: cost 12 inf + 83 5.627 * * [simplify]: Extracting #5: cost 12 inf + 125 5.627 * * [simplify]: Extracting #6: cost 14 inf + 166 5.627 * * [simplify]: Extracting #7: cost 16 inf + 207 5.627 * * [simplify]: Extracting #8: cost 13 inf + 290 5.627 * * [simplify]: Extracting #9: cost 10 inf + 615 5.627 * * [simplify]: Extracting #10: cost 5 inf + 1705 5.628 * * [simplify]: Extracting #11: cost 1 inf + 2914 5.628 * * [simplify]: Extracting #12: cost 0 inf + 3317 5.629 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.629 * [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))))))) 5.629 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.629 * * [simplify]: iters left: 6 (12 enodes) 5.632 * * [simplify]: iters left: 5 (40 enodes) 5.638 * * [simplify]: iters left: 4 (43 enodes) 5.649 * * [simplify]: Extracting #0: cost 1 inf + 0 5.649 * * [simplify]: Extracting #1: cost 4 inf + 0 5.649 * * [simplify]: Extracting #2: cost 9 inf + 0 5.649 * * [simplify]: Extracting #3: cost 13 inf + 1 5.649 * * [simplify]: Extracting #4: cost 15 inf + 124 5.649 * * [simplify]: Extracting #5: cost 15 inf + 166 5.649 * * [simplify]: Extracting #6: cost 14 inf + 329 5.650 * * [simplify]: Extracting #7: cost 12 inf + 573 5.650 * * [simplify]: Extracting #8: cost 6 inf + 1544 5.651 * * [simplify]: Extracting #9: cost 0 inf + 3476 5.651 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 5.652 * [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))))))) 5.652 * * * * [progress]: [ 55 / 122 ] simplifiying candidate # 5.652 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 5.652 * * [simplify]: iters left: 3 (5 enodes) 5.655 * * [simplify]: iters left: 2 (17 enodes) 5.658 * * [simplify]: iters left: 1 (19 enodes) 5.662 * * [simplify]: Extracting #0: cost 1 inf + 0 5.662 * * [simplify]: Extracting #1: cost 4 inf + 0 5.662 * * [simplify]: Extracting #2: cost 2 inf + 2 5.662 * * [simplify]: Extracting #3: cost 0 inf + 84 5.662 * [simplify]: Simplified to (sqrt 2.0) 5.662 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.662 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.662 * * [simplify]: iters left: 6 (10 enodes) 5.664 * * [simplify]: iters left: 5 (34 enodes) 5.669 * * [simplify]: iters left: 4 (37 enodes) 5.674 * * [simplify]: Extracting #0: cost 1 inf + 0 5.674 * * [simplify]: Extracting #1: cost 4 inf + 0 5.674 * * [simplify]: Extracting #2: cost 9 inf + 0 5.674 * * [simplify]: Extracting #3: cost 13 inf + 1 5.674 * * [simplify]: Extracting #4: cost 10 inf + 207 5.674 * * [simplify]: Extracting #5: cost 11 inf + 248 5.674 * * [simplify]: Extracting #6: cost 9 inf + 533 5.674 * * [simplify]: Extracting #7: cost 5 inf + 1100 5.675 * * [simplify]: Extracting #8: cost 1 inf + 2108 5.675 * * [simplify]: Extracting #9: cost 0 inf + 2430 5.675 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 5.676 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 5.676 * * * * [progress]: [ 56 / 122 ] simplifiying candidate # 5.676 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.676 * * [simplify]: iters left: 6 (12 enodes) 5.679 * * [simplify]: iters left: 5 (39 enodes) 5.684 * * [simplify]: iters left: 4 (42 enodes) 5.690 * * [simplify]: Extracting #0: cost 1 inf + 0 5.690 * * [simplify]: Extracting #1: cost 4 inf + 0 5.690 * * [simplify]: Extracting #2: cost 8 inf + 0 5.690 * * [simplify]: Extracting #3: cost 9 inf + 1 5.691 * * [simplify]: Extracting #4: cost 11 inf + 83 5.691 * * [simplify]: Extracting #5: cost 12 inf + 125 5.691 * * [simplify]: Extracting #6: cost 14 inf + 166 5.691 * * [simplify]: Extracting #7: cost 16 inf + 207 5.691 * * [simplify]: Extracting #8: cost 13 inf + 290 5.691 * * [simplify]: Extracting #9: cost 8 inf + 899 5.691 * * [simplify]: Extracting #10: cost 4 inf + 1787 5.692 * * [simplify]: Extracting #11: cost 1 inf + 2714 5.692 * * [simplify]: Extracting #12: cost 0 inf + 3077 5.693 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.693 * [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))))))) 5.693 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.693 * * [simplify]: iters left: 6 (11 enodes) 5.695 * * [simplify]: iters left: 5 (37 enodes) 5.700 * * [simplify]: iters left: 4 (40 enodes) 5.705 * * [simplify]: Extracting #0: cost 1 inf + 0 5.705 * * [simplify]: Extracting #1: cost 4 inf + 0 5.705 * * [simplify]: Extracting #2: cost 9 inf + 0 5.705 * * [simplify]: Extracting #3: cost 11 inf + 1 5.705 * * [simplify]: Extracting #4: cost 11 inf + 165 5.705 * * [simplify]: Extracting #5: cost 13 inf + 166 5.706 * * [simplify]: Extracting #6: cost 13 inf + 248 5.706 * * [simplify]: Extracting #7: cost 11 inf + 533 5.706 * * [simplify]: Extracting #8: cost 6 inf + 1302 5.706 * * [simplify]: Extracting #9: cost 2 inf + 2350 5.707 * * [simplify]: Extracting #10: cost 1 inf + 2712 5.707 * * [simplify]: Extracting #11: cost 0 inf + 3074 5.708 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 5.708 * [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))))))) 5.708 * * * * [progress]: [ 57 / 122 ] simplifiying candidate # 5.708 * [simplify]: Simplifying (/ (sqrt 2.0) 1) 5.708 * * [simplify]: iters left: 3 (4 enodes) 5.710 * * [simplify]: iters left: 2 (12 enodes) 5.712 * * [simplify]: iters left: 1 (14 enodes) 5.715 * * [simplify]: Extracting #0: cost 1 inf + 0 5.715 * * [simplify]: Extracting #1: cost 4 inf + 0 5.715 * * [simplify]: Extracting #2: cost 0 inf + 84 5.715 * [simplify]: Simplified to (sqrt 2.0) 5.715 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.715 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.715 * * [simplify]: iters left: 6 (10 enodes) 5.717 * * [simplify]: iters left: 5 (34 enodes) 5.726 * * [simplify]: iters left: 4 (37 enodes) 5.736 * * [simplify]: Extracting #0: cost 1 inf + 0 5.736 * * [simplify]: Extracting #1: cost 4 inf + 0 5.736 * * [simplify]: Extracting #2: cost 9 inf + 0 5.736 * * [simplify]: Extracting #3: cost 13 inf + 1 5.736 * * [simplify]: Extracting #4: cost 10 inf + 207 5.736 * * [simplify]: Extracting #5: cost 11 inf + 248 5.737 * * [simplify]: Extracting #6: cost 9 inf + 533 5.737 * * [simplify]: Extracting #7: cost 5 inf + 1100 5.738 * * [simplify]: Extracting #8: cost 1 inf + 2108 5.738 * * [simplify]: Extracting #9: cost 0 inf + 2430 5.739 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 5.739 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 5.739 * * * * [progress]: [ 58 / 122 ] simplifiying candidate # 5.740 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.740 * * [simplify]: iters left: 6 (15 enodes) 5.748 * * [simplify]: iters left: 5 (53 enodes) 5.764 * * [simplify]: iters left: 4 (62 enodes) 5.781 * * [simplify]: Extracting #0: cost 1 inf + 0 5.781 * * [simplify]: Extracting #1: cost 6 inf + 0 5.781 * * [simplify]: Extracting #2: cost 12 inf + 0 5.781 * * [simplify]: Extracting #3: cost 16 inf + 0 5.781 * * [simplify]: Extracting #4: cost 25 inf + 0 5.781 * * [simplify]: Extracting #5: cost 27 inf + 3 5.782 * * [simplify]: Extracting #6: cost 19 inf + 819 5.782 * * [simplify]: Extracting #7: cost 14 inf + 1470 5.783 * * [simplify]: Extracting #8: cost 5 inf + 3567 5.785 * * [simplify]: Extracting #9: cost 0 inf + 5901 5.787 * [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))))) 5.787 * [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))))))) 5.787 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.787 * * [simplify]: iters left: 6 (14 enodes) 5.794 * * [simplify]: iters left: 5 (48 enodes) 5.808 * * [simplify]: iters left: 4 (55 enodes) 5.823 * * [simplify]: Extracting #0: cost 1 inf + 0 5.823 * * [simplify]: Extracting #1: cost 4 inf + 0 5.823 * * [simplify]: Extracting #2: cost 8 inf + 0 5.823 * * [simplify]: Extracting #3: cost 12 inf + 0 5.823 * * [simplify]: Extracting #4: cost 21 inf + 0 5.823 * * [simplify]: Extracting #5: cost 22 inf + 44 5.824 * * [simplify]: Extracting #6: cost 14 inf + 821 5.824 * * [simplify]: Extracting #7: cost 10 inf + 1430 5.825 * * [simplify]: Extracting #8: cost 2 inf + 3406 5.826 * * [simplify]: Extracting #9: cost 0 inf + 4131 5.828 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.828 * [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))))))) 5.828 * * * * [progress]: [ 59 / 122 ] simplifiying candidate # 5.828 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.828 * * [simplify]: iters left: 6 (15 enodes) 5.835 * * [simplify]: iters left: 5 (52 enodes) 5.850 * * [simplify]: iters left: 4 (59 enodes) 5.866 * * [simplify]: Extracting #0: cost 1 inf + 0 5.866 * * [simplify]: Extracting #1: cost 4 inf + 0 5.866 * * [simplify]: Extracting #2: cost 9 inf + 0 5.866 * * [simplify]: Extracting #3: cost 14 inf + 0 5.866 * * [simplify]: Extracting #4: cost 23 inf + 0 5.866 * * [simplify]: Extracting #5: cost 24 inf + 44 5.866 * * [simplify]: Extracting #6: cost 19 inf + 575 5.867 * * [simplify]: Extracting #7: cost 13 inf + 1308 5.868 * * [simplify]: Extracting #8: cost 5 inf + 2963 5.869 * * [simplify]: Extracting #9: cost 0 inf + 4855 5.871 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.871 * [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))))))) 5.871 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.871 * * [simplify]: iters left: 6 (14 enodes) 5.880 * * [simplify]: iters left: 5 (48 enodes) 5.893 * * [simplify]: iters left: 4 (55 enodes) 5.907 * * [simplify]: Extracting #0: cost 1 inf + 0 5.907 * * [simplify]: Extracting #1: cost 4 inf + 0 5.907 * * [simplify]: Extracting #2: cost 8 inf + 0 5.908 * * [simplify]: Extracting #3: cost 12 inf + 0 5.908 * * [simplify]: Extracting #4: cost 21 inf + 0 5.908 * * [simplify]: Extracting #5: cost 22 inf + 44 5.908 * * [simplify]: Extracting #6: cost 14 inf + 821 5.909 * * [simplify]: Extracting #7: cost 10 inf + 1430 5.910 * * [simplify]: Extracting #8: cost 2 inf + 3446 5.911 * * [simplify]: Extracting #9: cost 0 inf + 4211 5.912 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.912 * [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))))))) 5.912 * * * * [progress]: [ 60 / 122 ] simplifiying candidate # 5.913 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.913 * * [simplify]: iters left: 6 (14 enodes) 5.919 * * [simplify]: iters left: 5 (48 enodes) 5.933 * * [simplify]: iters left: 4 (55 enodes) 5.948 * * [simplify]: Extracting #0: cost 1 inf + 0 5.948 * * [simplify]: Extracting #1: cost 4 inf + 0 5.948 * * [simplify]: Extracting #2: cost 8 inf + 0 5.948 * * [simplify]: Extracting #3: cost 12 inf + 0 5.949 * * [simplify]: Extracting #4: cost 21 inf + 0 5.949 * * [simplify]: Extracting #5: cost 22 inf + 44 5.949 * * [simplify]: Extracting #6: cost 14 inf + 821 5.950 * * [simplify]: Extracting #7: cost 10 inf + 1430 5.951 * * [simplify]: Extracting #8: cost 2 inf + 3286 5.952 * * [simplify]: Extracting #9: cost 0 inf + 3971 5.953 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.953 * [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))))))) 5.954 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.954 * * [simplify]: iters left: 6 (14 enodes) 5.961 * * [simplify]: iters left: 5 (48 enodes) 5.975 * * [simplify]: iters left: 4 (55 enodes) 5.990 * * [simplify]: Extracting #0: cost 1 inf + 0 5.990 * * [simplify]: Extracting #1: cost 4 inf + 0 5.990 * * [simplify]: Extracting #2: cost 8 inf + 0 5.990 * * [simplify]: Extracting #3: cost 12 inf + 0 5.990 * * [simplify]: Extracting #4: cost 21 inf + 0 5.990 * * [simplify]: Extracting #5: cost 22 inf + 44 5.990 * * [simplify]: Extracting #6: cost 14 inf + 821 5.991 * * [simplify]: Extracting #7: cost 10 inf + 1430 5.992 * * [simplify]: Extracting #8: cost 2 inf + 3286 5.993 * * [simplify]: Extracting #9: cost 0 inf + 3971 5.994 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.995 * [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))))))) 5.995 * * * * [progress]: [ 61 / 122 ] simplifiying candidate # 5.995 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 5.995 * * [simplify]: iters left: 6 (9 enodes) 6.001 * * [simplify]: iters left: 5 (32 enodes) 6.009 * * [simplify]: iters left: 4 (38 enodes) 6.014 * * [simplify]: iters left: 3 (40 enodes) 6.021 * * [simplify]: Extracting #0: cost 1 inf + 0 6.021 * * [simplify]: Extracting #1: cost 4 inf + 0 6.021 * * [simplify]: Extracting #2: cost 5 inf + 1 6.022 * * [simplify]: Extracting #3: cost 10 inf + 1 6.022 * * [simplify]: Extracting #4: cost 10 inf + 3 6.022 * * [simplify]: Extracting #5: cost 6 inf + 209 6.022 * * [simplify]: Extracting #6: cost 1 inf + 779 6.022 * * [simplify]: Extracting #7: cost 0 inf + 901 6.022 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 6.022 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.023 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.023 * * [simplify]: iters left: 6 (13 enodes) 6.026 * * [simplify]: iters left: 5 (45 enodes) 6.032 * * [simplify]: iters left: 4 (52 enodes) 6.039 * * [simplify]: Extracting #0: cost 1 inf + 0 6.039 * * [simplify]: Extracting #1: cost 4 inf + 0 6.039 * * [simplify]: Extracting #2: cost 8 inf + 0 6.039 * * [simplify]: Extracting #3: cost 14 inf + 0 6.039 * * [simplify]: Extracting #4: cost 20 inf + 42 6.039 * * [simplify]: Extracting #5: cost 21 inf + 85 6.040 * * [simplify]: Extracting #6: cost 13 inf + 900 6.040 * * [simplify]: Extracting #7: cost 1 inf + 2924 6.041 * * [simplify]: Extracting #8: cost 0 inf + 3327 6.041 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.041 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.041 * * * * [progress]: [ 62 / 122 ] simplifiying candidate # 6.042 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.042 * * [simplify]: iters left: 6 (15 enodes) 6.048 * * [simplify]: iters left: 5 (50 enodes) 6.062 * * [simplify]: iters left: 4 (54 enodes) 6.076 * * [simplify]: Extracting #0: cost 1 inf + 0 6.076 * * [simplify]: Extracting #1: cost 4 inf + 0 6.076 * * [simplify]: Extracting #2: cost 8 inf + 0 6.076 * * [simplify]: Extracting #3: cost 13 inf + 0 6.076 * * [simplify]: Extracting #4: cost 22 inf + 0 6.076 * * [simplify]: Extracting #5: cost 22 inf + 44 6.077 * * [simplify]: Extracting #6: cost 17 inf + 575 6.077 * * [simplify]: Extracting #7: cost 11 inf + 1308 6.077 * * [simplify]: Extracting #8: cost 4 inf + 2641 6.078 * * [simplify]: Extracting #9: cost 0 inf + 4211 6.079 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 6.079 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.079 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.079 * * [simplify]: iters left: 6 (15 enodes) 6.082 * * [simplify]: iters left: 5 (51 enodes) 6.089 * * [simplify]: iters left: 4 (58 enodes) 6.097 * * [simplify]: Extracting #0: cost 1 inf + 0 6.097 * * [simplify]: Extracting #1: cost 4 inf + 0 6.097 * * [simplify]: Extracting #2: cost 8 inf + 0 6.097 * * [simplify]: Extracting #3: cost 14 inf + 0 6.097 * * [simplify]: Extracting #4: cost 24 inf + 0 6.097 * * [simplify]: Extracting #5: cost 21 inf + 247 6.097 * * [simplify]: Extracting #6: cost 15 inf + 941 6.098 * * [simplify]: Extracting #7: cost 10 inf + 1592 6.098 * * [simplify]: Extracting #8: cost 3 inf + 3085 6.099 * * [simplify]: Extracting #9: cost 0 inf + 4373 6.100 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.100 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.100 * * * * [progress]: [ 63 / 122 ] simplifiying candidate # 6.100 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.100 * * [simplify]: iters left: 6 (15 enodes) 6.104 * * [simplify]: iters left: 5 (50 enodes) 6.111 * * [simplify]: iters left: 4 (54 enodes) 6.120 * * [simplify]: Extracting #0: cost 1 inf + 0 6.120 * * [simplify]: Extracting #1: cost 4 inf + 0 6.120 * * [simplify]: Extracting #2: cost 8 inf + 0 6.120 * * [simplify]: Extracting #3: cost 13 inf + 0 6.120 * * [simplify]: Extracting #4: cost 22 inf + 0 6.120 * * [simplify]: Extracting #5: cost 22 inf + 44 6.120 * * [simplify]: Extracting #6: cost 17 inf + 575 6.120 * * [simplify]: Extracting #7: cost 11 inf + 1308 6.121 * * [simplify]: Extracting #8: cost 4 inf + 2641 6.122 * * [simplify]: Extracting #9: cost 0 inf + 4211 6.122 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 6.122 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.122 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.123 * * [simplify]: iters left: 6 (15 enodes) 6.126 * * [simplify]: iters left: 5 (51 enodes) 6.135 * * [simplify]: iters left: 4 (58 enodes) 6.150 * * [simplify]: Extracting #0: cost 1 inf + 0 6.150 * * [simplify]: Extracting #1: cost 4 inf + 0 6.150 * * [simplify]: Extracting #2: cost 8 inf + 0 6.151 * * [simplify]: Extracting #3: cost 14 inf + 0 6.151 * * [simplify]: Extracting #4: cost 24 inf + 0 6.151 * * [simplify]: Extracting #5: cost 21 inf + 247 6.151 * * [simplify]: Extracting #6: cost 15 inf + 941 6.152 * * [simplify]: Extracting #7: cost 10 inf + 1592 6.153 * * [simplify]: Extracting #8: cost 3 inf + 3085 6.154 * * [simplify]: Extracting #9: cost 0 inf + 4373 6.155 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.155 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.155 * * * * [progress]: [ 64 / 122 ] simplifiying candidate # 6.155 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 6.155 * * [simplify]: iters left: 6 (9 enodes) 6.159 * * [simplify]: iters left: 5 (32 enodes) 6.164 * * [simplify]: iters left: 4 (38 enodes) 6.169 * * [simplify]: iters left: 3 (40 enodes) 6.175 * * [simplify]: Extracting #0: cost 1 inf + 0 6.175 * * [simplify]: Extracting #1: cost 4 inf + 0 6.175 * * [simplify]: Extracting #2: cost 5 inf + 1 6.175 * * [simplify]: Extracting #3: cost 10 inf + 1 6.175 * * [simplify]: Extracting #4: cost 10 inf + 3 6.175 * * [simplify]: Extracting #5: cost 6 inf + 209 6.175 * * [simplify]: Extracting #6: cost 1 inf + 779 6.176 * * [simplify]: Extracting #7: cost 0 inf + 901 6.176 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 6.176 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.176 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.176 * * [simplify]: iters left: 6 (13 enodes) 6.179 * * [simplify]: iters left: 5 (45 enodes) 6.186 * * [simplify]: iters left: 4 (52 enodes) 6.194 * * [simplify]: Extracting #0: cost 1 inf + 0 6.194 * * [simplify]: Extracting #1: cost 4 inf + 0 6.194 * * [simplify]: Extracting #2: cost 8 inf + 0 6.194 * * [simplify]: Extracting #3: cost 14 inf + 0 6.194 * * [simplify]: Extracting #4: cost 20 inf + 42 6.194 * * [simplify]: Extracting #5: cost 21 inf + 85 6.194 * * [simplify]: Extracting #6: cost 13 inf + 900 6.195 * * [simplify]: Extracting #7: cost 1 inf + 2924 6.196 * * [simplify]: Extracting #8: cost 0 inf + 3327 6.197 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.198 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.198 * * * * [progress]: [ 65 / 122 ] simplifiying candidate # 6.198 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.198 * * [simplify]: iters left: 6 (14 enodes) 6.204 * * [simplify]: iters left: 5 (48 enodes) 6.220 * * [simplify]: iters left: 4 (55 enodes) 6.236 * * [simplify]: Extracting #0: cost 1 inf + 0 6.236 * * [simplify]: Extracting #1: cost 4 inf + 0 6.236 * * [simplify]: Extracting #2: cost 8 inf + 0 6.236 * * [simplify]: Extracting #3: cost 12 inf + 0 6.236 * * [simplify]: Extracting #4: cost 21 inf + 0 6.236 * * [simplify]: Extracting #5: cost 22 inf + 44 6.236 * * [simplify]: Extracting #6: cost 14 inf + 821 6.237 * * [simplify]: Extracting #7: cost 10 inf + 1430 6.238 * * [simplify]: Extracting #8: cost 2 inf + 3286 6.239 * * [simplify]: Extracting #9: cost 0 inf + 3971 6.240 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.240 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.241 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.241 * * [simplify]: iters left: 6 (14 enodes) 6.247 * * [simplify]: iters left: 5 (48 enodes) 6.256 * * [simplify]: iters left: 4 (55 enodes) 6.263 * * [simplify]: Extracting #0: cost 1 inf + 0 6.263 * * [simplify]: Extracting #1: cost 4 inf + 0 6.263 * * [simplify]: Extracting #2: cost 8 inf + 0 6.263 * * [simplify]: Extracting #3: cost 12 inf + 0 6.263 * * [simplify]: Extracting #4: cost 21 inf + 0 6.263 * * [simplify]: Extracting #5: cost 22 inf + 44 6.263 * * [simplify]: Extracting #6: cost 14 inf + 821 6.264 * * [simplify]: Extracting #7: cost 10 inf + 1430 6.264 * * [simplify]: Extracting #8: cost 2 inf + 3286 6.265 * * [simplify]: Extracting #9: cost 0 inf + 3971 6.265 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.266 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.266 * * * * [progress]: [ 66 / 122 ] simplifiying candidate # 6.266 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) 6.266 * * [simplify]: iters left: 6 (8 enodes) 6.268 * * [simplify]: iters left: 5 (27 enodes) 6.273 * * [simplify]: iters left: 4 (33 enodes) 6.277 * * [simplify]: Extracting #0: cost 1 inf + 0 6.277 * * [simplify]: Extracting #1: cost 4 inf + 0 6.278 * * [simplify]: Extracting #2: cost 5 inf + 1 6.278 * * [simplify]: Extracting #3: cost 10 inf + 1 6.278 * * [simplify]: Extracting #4: cost 9 inf + 44 6.278 * * [simplify]: Extracting #5: cost 5 inf + 251 6.278 * * [simplify]: Extracting #6: cost 1 inf + 739 6.278 * * [simplify]: Extracting #7: cost 0 inf + 901 6.278 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 6.278 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.279 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.279 * * [simplify]: iters left: 6 (13 enodes) 6.282 * * [simplify]: iters left: 5 (45 enodes) 6.294 * * [simplify]: iters left: 4 (52 enodes) 6.308 * * [simplify]: Extracting #0: cost 1 inf + 0 6.309 * * [simplify]: Extracting #1: cost 4 inf + 0 6.309 * * [simplify]: Extracting #2: cost 8 inf + 0 6.309 * * [simplify]: Extracting #3: cost 14 inf + 0 6.309 * * [simplify]: Extracting #4: cost 20 inf + 42 6.309 * * [simplify]: Extracting #5: cost 21 inf + 85 6.309 * * [simplify]: Extracting #6: cost 13 inf + 900 6.310 * * [simplify]: Extracting #7: cost 1 inf + 2924 6.311 * * [simplify]: Extracting #8: cost 0 inf + 3327 6.312 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.312 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.312 * * * * [progress]: [ 67 / 122 ] simplifiying candidate # 6.312 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.312 * * [simplify]: iters left: 6 (12 enodes) 6.315 * * [simplify]: iters left: 5 (43 enodes) 6.321 * * [simplify]: iters left: 4 (50 enodes) 6.329 * * [simplify]: Extracting #0: cost 1 inf + 0 6.329 * * [simplify]: Extracting #1: cost 6 inf + 0 6.329 * * [simplify]: Extracting #2: cost 9 inf + 1 6.330 * * [simplify]: Extracting #3: cost 11 inf + 1 6.330 * * [simplify]: Extracting #4: cost 15 inf + 1 6.330 * * [simplify]: Extracting #5: cost 17 inf + 2 6.330 * * [simplify]: Extracting #6: cost 18 inf + 84 6.330 * * [simplify]: Extracting #7: cost 20 inf + 125 6.330 * * [simplify]: Extracting #8: cost 15 inf + 371 6.330 * * [simplify]: Extracting #9: cost 7 inf + 2027 6.331 * * [simplify]: Extracting #10: cost 1 inf + 4243 6.331 * * [simplify]: Extracting #11: cost 0 inf + 4605 6.332 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.332 * [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))))))) 6.332 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.333 * * [simplify]: iters left: 6 (13 enodes) 6.335 * * [simplify]: iters left: 5 (45 enodes) 6.342 * * [simplify]: iters left: 4 (52 enodes) 6.355 * * [simplify]: Extracting #0: cost 1 inf + 0 6.355 * * [simplify]: Extracting #1: cost 4 inf + 0 6.355 * * [simplify]: Extracting #2: cost 8 inf + 0 6.355 * * [simplify]: Extracting #3: cost 15 inf + 0 6.355 * * [simplify]: Extracting #4: cost 19 inf + 2 6.355 * * [simplify]: Extracting #5: cost 17 inf + 209 6.355 * * [simplify]: Extracting #6: cost 14 inf + 537 6.356 * * [simplify]: Extracting #7: cost 9 inf + 1308 6.357 * * [simplify]: Extracting #8: cost 1 inf + 3284 6.358 * * [simplify]: Extracting #9: cost 0 inf + 3727 6.359 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.359 * [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))))))) 6.359 * * * * [progress]: [ 68 / 122 ] simplifiying candidate # 6.359 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.360 * * [simplify]: iters left: 6 (12 enodes) 6.362 * * [simplify]: iters left: 5 (42 enodes) 6.369 * * [simplify]: iters left: 4 (47 enodes) 6.375 * * [simplify]: Extracting #0: cost 1 inf + 0 6.375 * * [simplify]: Extracting #1: cost 4 inf + 0 6.375 * * [simplify]: Extracting #2: cost 6 inf + 1 6.375 * * [simplify]: Extracting #3: cost 9 inf + 1 6.375 * * [simplify]: Extracting #4: cost 13 inf + 1 6.375 * * [simplify]: Extracting #5: cost 14 inf + 43 6.375 * * [simplify]: Extracting #6: cost 16 inf + 84 6.375 * * [simplify]: Extracting #7: cost 18 inf + 125 6.375 * * [simplify]: Extracting #8: cost 16 inf + 167 6.375 * * [simplify]: Extracting #9: cost 13 inf + 371 6.376 * * [simplify]: Extracting #10: cost 9 inf + 1019 6.376 * * [simplify]: Extracting #11: cost 2 inf + 3114 6.377 * * [simplify]: Extracting #12: cost 0 inf + 3799 6.377 * [simplify]: Simplified to (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.377 * [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))))))) 6.377 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.378 * * [simplify]: iters left: 6 (13 enodes) 6.381 * * [simplify]: iters left: 5 (45 enodes) 6.387 * * [simplify]: iters left: 4 (52 enodes) 6.394 * * [simplify]: Extracting #0: cost 1 inf + 0 6.394 * * [simplify]: Extracting #1: cost 4 inf + 0 6.394 * * [simplify]: Extracting #2: cost 8 inf + 0 6.394 * * [simplify]: Extracting #3: cost 15 inf + 0 6.394 * * [simplify]: Extracting #4: cost 19 inf + 2 6.395 * * [simplify]: Extracting #5: cost 17 inf + 209 6.395 * * [simplify]: Extracting #6: cost 14 inf + 537 6.395 * * [simplify]: Extracting #7: cost 9 inf + 1308 6.395 * * [simplify]: Extracting #8: cost 1 inf + 3364 6.396 * * [simplify]: Extracting #9: cost 0 inf + 3807 6.397 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.397 * [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))))))) 6.397 * * * * [progress]: [ 69 / 122 ] simplifiying candidate # 6.397 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.397 * * [simplify]: iters left: 6 (11 enodes) 6.400 * * [simplify]: iters left: 5 (38 enodes) 6.406 * * [simplify]: iters left: 4 (43 enodes) 6.414 * * [simplify]: Extracting #0: cost 1 inf + 0 6.414 * * [simplify]: Extracting #1: cost 4 inf + 0 6.415 * * [simplify]: Extracting #2: cost 5 inf + 1 6.415 * * [simplify]: Extracting #3: cost 7 inf + 1 6.415 * * [simplify]: Extracting #4: cost 11 inf + 1 6.415 * * [simplify]: Extracting #5: cost 12 inf + 43 6.415 * * [simplify]: Extracting #6: cost 14 inf + 84 6.415 * * [simplify]: Extracting #7: cost 16 inf + 125 6.415 * * [simplify]: Extracting #8: cost 14 inf + 167 6.415 * * [simplify]: Extracting #9: cost 11 inf + 371 6.416 * * [simplify]: Extracting #10: cost 7 inf + 1019 6.416 * * [simplify]: Extracting #11: cost 3 inf + 1987 6.417 * * [simplify]: Extracting #12: cost 0 inf + 2915 6.418 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.418 * [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))))))) 6.419 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.419 * * [simplify]: iters left: 6 (13 enodes) 6.425 * * [simplify]: iters left: 5 (45 enodes) 6.438 * * [simplify]: iters left: 4 (52 enodes) 6.452 * * [simplify]: Extracting #0: cost 1 inf + 0 6.452 * * [simplify]: Extracting #1: cost 4 inf + 0 6.452 * * [simplify]: Extracting #2: cost 8 inf + 0 6.452 * * [simplify]: Extracting #3: cost 15 inf + 0 6.453 * * [simplify]: Extracting #4: cost 19 inf + 2 6.453 * * [simplify]: Extracting #5: cost 17 inf + 209 6.453 * * [simplify]: Extracting #6: cost 14 inf + 537 6.454 * * [simplify]: Extracting #7: cost 9 inf + 1308 6.455 * * [simplify]: Extracting #8: cost 1 inf + 3164 6.456 * * [simplify]: Extracting #9: cost 0 inf + 3567 6.457 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.457 * [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))))))) 6.457 * * * * [progress]: [ 70 / 122 ] simplifiying candidate # 6.458 * [simplify]: Simplifying (/ 1 (sqrt 1)) 6.458 * * [simplify]: iters left: 3 (3 enodes) 6.464 * * [simplify]: iters left: 2 (11 enodes) 6.467 * * [simplify]: iters left: 1 (13 enodes) 6.469 * * [simplify]: Extracting #0: cost 1 inf + 0 6.469 * * [simplify]: Extracting #1: cost 0 inf + 1 6.469 * [simplify]: Simplified to 1 6.469 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.469 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.469 * * [simplify]: iters left: 6 (12 enodes) 6.472 * * [simplify]: iters left: 5 (42 enodes) 6.478 * * [simplify]: iters left: 4 (49 enodes) 6.484 * * [simplify]: Extracting #0: cost 1 inf + 0 6.484 * * [simplify]: Extracting #1: cost 4 inf + 0 6.484 * * [simplify]: Extracting #2: cost 8 inf + 0 6.484 * * [simplify]: Extracting #3: cost 17 inf + 0 6.484 * * [simplify]: Extracting #4: cost 19 inf + 3 6.485 * * [simplify]: Extracting #5: cost 14 inf + 374 6.485 * * [simplify]: Extracting #6: cost 7 inf + 1388 6.485 * * [simplify]: Extracting #7: cost 1 inf + 2560 6.486 * * [simplify]: Extracting #8: cost 0 inf + 2923 6.486 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 6.486 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 6.486 * * * * [progress]: [ 71 / 122 ] simplifiying candidate # 6.487 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.487 * * [simplify]: iters left: 6 (12 enodes) 6.489 * * [simplify]: iters left: 5 (40 enodes) 6.495 * * [simplify]: iters left: 4 (42 enodes) 6.502 * * [simplify]: Extracting #0: cost 1 inf + 0 6.502 * * [simplify]: Extracting #1: cost 4 inf + 0 6.502 * * [simplify]: Extracting #2: cost 5 inf + 1 6.502 * * [simplify]: Extracting #3: cost 8 inf + 1 6.502 * * [simplify]: Extracting #4: cost 12 inf + 1 6.503 * * [simplify]: Extracting #5: cost 13 inf + 2 6.503 * * [simplify]: Extracting #6: cost 14 inf + 84 6.503 * * [simplify]: Extracting #7: cost 16 inf + 125 6.503 * * [simplify]: Extracting #8: cost 14 inf + 167 6.503 * * [simplify]: Extracting #9: cost 10 inf + 493 6.504 * * [simplify]: Extracting #10: cost 4 inf + 1785 6.504 * * [simplify]: Extracting #11: cost 2 inf + 2470 6.505 * * [simplify]: Extracting #12: cost 0 inf + 3155 6.506 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.506 * [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))))))) 6.507 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.507 * * [simplify]: iters left: 6 (14 enodes) 6.513 * * [simplify]: iters left: 5 (48 enodes) 6.530 * * [simplify]: iters left: 4 (55 enodes) 6.545 * * [simplify]: Extracting #0: cost 1 inf + 0 6.545 * * [simplify]: Extracting #1: cost 4 inf + 0 6.545 * * [simplify]: Extracting #2: cost 8 inf + 0 6.545 * * [simplify]: Extracting #3: cost 17 inf + 0 6.545 * * [simplify]: Extracting #4: cost 22 inf + 2 6.545 * * [simplify]: Extracting #5: cost 15 inf + 577 6.546 * * [simplify]: Extracting #6: cost 14 inf + 740 6.546 * * [simplify]: Extracting #7: cost 9 inf + 1510 6.547 * * [simplify]: Extracting #8: cost 2 inf + 3244 6.549 * * [simplify]: Extracting #9: cost 0 inf + 3969 6.550 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 6.550 * [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))))))) 6.550 * * * * [progress]: [ 72 / 122 ] simplifiying candidate # 6.551 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.551 * * [simplify]: iters left: 6 (12 enodes) 6.556 * * [simplify]: iters left: 5 (40 enodes) 6.568 * * [simplify]: iters left: 4 (42 enodes) 6.577 * * [simplify]: Extracting #0: cost 1 inf + 0 6.577 * * [simplify]: Extracting #1: cost 4 inf + 0 6.577 * * [simplify]: Extracting #2: cost 5 inf + 1 6.578 * * [simplify]: Extracting #3: cost 8 inf + 1 6.578 * * [simplify]: Extracting #4: cost 12 inf + 1 6.578 * * [simplify]: Extracting #5: cost 13 inf + 2 6.578 * * [simplify]: Extracting #6: cost 14 inf + 84 6.578 * * [simplify]: Extracting #7: cost 16 inf + 125 6.578 * * [simplify]: Extracting #8: cost 14 inf + 167 6.578 * * [simplify]: Extracting #9: cost 10 inf + 493 6.578 * * [simplify]: Extracting #10: cost 4 inf + 1785 6.579 * * [simplify]: Extracting #11: cost 2 inf + 2470 6.579 * * [simplify]: Extracting #12: cost 0 inf + 3155 6.580 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.580 * [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))))))) 6.580 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.580 * * [simplify]: iters left: 6 (14 enodes) 6.583 * * [simplify]: iters left: 5 (48 enodes) 6.590 * * [simplify]: iters left: 4 (55 enodes) 6.597 * * [simplify]: Extracting #0: cost 1 inf + 0 6.598 * * [simplify]: Extracting #1: cost 4 inf + 0 6.598 * * [simplify]: Extracting #2: cost 8 inf + 0 6.598 * * [simplify]: Extracting #3: cost 17 inf + 0 6.598 * * [simplify]: Extracting #4: cost 22 inf + 2 6.598 * * [simplify]: Extracting #5: cost 15 inf + 577 6.598 * * [simplify]: Extracting #6: cost 14 inf + 740 6.598 * * [simplify]: Extracting #7: cost 9 inf + 1510 6.599 * * [simplify]: Extracting #8: cost 2 inf + 3244 6.600 * * [simplify]: Extracting #9: cost 0 inf + 3969 6.602 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 6.602 * [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))))))) 6.602 * * * * [progress]: [ 73 / 122 ] simplifiying candidate # 6.602 * [simplify]: Simplifying (/ 1 (sqrt 1)) 6.602 * * [simplify]: iters left: 3 (3 enodes) 6.608 * * [simplify]: iters left: 2 (11 enodes) 6.611 * * [simplify]: iters left: 1 (13 enodes) 6.614 * * [simplify]: Extracting #0: cost 1 inf + 0 6.614 * * [simplify]: Extracting #1: cost 0 inf + 1 6.614 * [simplify]: Simplified to 1 6.614 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.615 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.615 * * [simplify]: iters left: 6 (12 enodes) 6.621 * * [simplify]: iters left: 5 (42 enodes) 6.634 * * [simplify]: iters left: 4 (49 enodes) 6.647 * * [simplify]: Extracting #0: cost 1 inf + 0 6.647 * * [simplify]: Extracting #1: cost 4 inf + 0 6.647 * * [simplify]: Extracting #2: cost 8 inf + 0 6.647 * * [simplify]: Extracting #3: cost 17 inf + 0 6.647 * * [simplify]: Extracting #4: cost 19 inf + 3 6.647 * * [simplify]: Extracting #5: cost 14 inf + 374 6.648 * * [simplify]: Extracting #6: cost 7 inf + 1388 6.649 * * [simplify]: Extracting #7: cost 1 inf + 2560 6.650 * * [simplify]: Extracting #8: cost 0 inf + 2923 6.651 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 6.651 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 6.651 * * * * [progress]: [ 74 / 122 ] simplifiying candidate # 6.651 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.652 * * [simplify]: iters left: 6 (11 enodes) 6.659 * * [simplify]: iters left: 5 (38 enodes) 6.670 * * [simplify]: iters left: 4 (43 enodes) 6.682 * * [simplify]: Extracting #0: cost 1 inf + 0 6.682 * * [simplify]: Extracting #1: cost 4 inf + 0 6.682 * * [simplify]: Extracting #2: cost 5 inf + 1 6.682 * * [simplify]: Extracting #3: cost 7 inf + 1 6.682 * * [simplify]: Extracting #4: cost 11 inf + 1 6.682 * * [simplify]: Extracting #5: cost 12 inf + 43 6.682 * * [simplify]: Extracting #6: cost 14 inf + 84 6.682 * * [simplify]: Extracting #7: cost 16 inf + 125 6.683 * * [simplify]: Extracting #8: cost 14 inf + 167 6.683 * * [simplify]: Extracting #9: cost 11 inf + 371 6.683 * * [simplify]: Extracting #10: cost 7 inf + 1019 6.684 * * [simplify]: Extracting #11: cost 3 inf + 1987 6.685 * * [simplify]: Extracting #12: cost 0 inf + 2915 6.686 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.686 * [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))))))) 6.686 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.686 * * [simplify]: iters left: 6 (13 enodes) 6.693 * * [simplify]: iters left: 5 (45 enodes) 6.700 * * [simplify]: iters left: 4 (52 enodes) 6.707 * * [simplify]: Extracting #0: cost 1 inf + 0 6.707 * * [simplify]: Extracting #1: cost 4 inf + 0 6.707 * * [simplify]: Extracting #2: cost 8 inf + 0 6.707 * * [simplify]: Extracting #3: cost 15 inf + 0 6.707 * * [simplify]: Extracting #4: cost 19 inf + 2 6.707 * * [simplify]: Extracting #5: cost 17 inf + 209 6.707 * * [simplify]: Extracting #6: cost 14 inf + 537 6.708 * * [simplify]: Extracting #7: cost 9 inf + 1308 6.708 * * [simplify]: Extracting #8: cost 1 inf + 3164 6.709 * * [simplify]: Extracting #9: cost 0 inf + 3567 6.709 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.709 * [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))))))) 6.709 * * * * [progress]: [ 75 / 122 ] simplifiying candidate # 6.710 * [simplify]: Simplifying (/ 1 1) 6.710 * * [simplify]: iters left: 2 (2 enodes) 6.711 * * [simplify]: iters left: 1 (6 enodes) 6.712 * * [simplify]: Extracting #0: cost 1 inf + 0 6.712 * * [simplify]: Extracting #1: cost 0 inf + 1 6.712 * [simplify]: Simplified to 1 6.712 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.712 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.712 * * [simplify]: iters left: 6 (12 enodes) 6.715 * * [simplify]: iters left: 5 (42 enodes) 6.721 * * [simplify]: iters left: 4 (49 enodes) 6.728 * * [simplify]: Extracting #0: cost 1 inf + 0 6.728 * * [simplify]: Extracting #1: cost 4 inf + 0 6.728 * * [simplify]: Extracting #2: cost 8 inf + 0 6.728 * * [simplify]: Extracting #3: cost 17 inf + 0 6.728 * * [simplify]: Extracting #4: cost 19 inf + 3 6.729 * * [simplify]: Extracting #5: cost 14 inf + 374 6.729 * * [simplify]: Extracting #6: cost 7 inf + 1388 6.730 * * [simplify]: Extracting #7: cost 1 inf + 2560 6.731 * * [simplify]: Extracting #8: cost 0 inf + 2923 6.732 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 6.732 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 6.732 * * * * [progress]: [ 76 / 122 ] simplifiying candidate # 6.732 * * * * [progress]: [ 77 / 122 ] simplifiying candidate # 6.732 * * * * [progress]: [ 78 / 122 ] simplifiying candidate # 6.732 * * * * [progress]: [ 79 / 122 ] simplifiying candidate # 6.733 * [simplify]: Simplifying (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.733 * * [simplify]: iters left: 6 (9 enodes) 6.736 * * [simplify]: iters left: 5 (30 enodes) 6.745 * * [simplify]: iters left: 4 (33 enodes) 6.753 * * [simplify]: Extracting #0: cost 1 inf + 0 6.753 * * [simplify]: Extracting #1: cost 3 inf + 0 6.753 * * [simplify]: Extracting #2: cost 5 inf + 0 6.753 * * [simplify]: Extracting #3: cost 9 inf + 0 6.753 * * [simplify]: Extracting #4: cost 11 inf + 1 6.754 * * [simplify]: Extracting #5: cost 12 inf + 83 6.754 * * [simplify]: Extracting #6: cost 14 inf + 124 6.754 * * [simplify]: Extracting #7: cost 10 inf + 248 6.754 * * [simplify]: Extracting #8: cost 8 inf + 532 6.755 * * [simplify]: Extracting #9: cost 4 inf + 1260 6.755 * * [simplify]: Extracting #10: cost 0 inf + 2348 6.756 * [simplify]: Simplified to (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.756 * [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)))))) 6.756 * * * * [progress]: [ 80 / 122 ] simplifiying candidate # 6.757 * [simplify]: Simplifying (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 6.757 * * [simplify]: iters left: 6 (9 enodes) 6.760 * * [simplify]: iters left: 5 (30 enodes) 6.765 * * [simplify]: iters left: 4 (33 enodes) 6.771 * * [simplify]: Extracting #0: cost 1 inf + 0 6.771 * * [simplify]: Extracting #1: cost 3 inf + 0 6.771 * * [simplify]: Extracting #2: cost 5 inf + 0 6.771 * * [simplify]: Extracting #3: cost 9 inf + 0 6.771 * * [simplify]: Extracting #4: cost 11 inf + 1 6.771 * * [simplify]: Extracting #5: cost 12 inf + 83 6.771 * * [simplify]: Extracting #6: cost 14 inf + 124 6.771 * * [simplify]: Extracting #7: cost 10 inf + 248 6.772 * * [simplify]: Extracting #8: cost 8 inf + 532 6.772 * * [simplify]: Extracting #9: cost 4 inf + 1300 6.772 * * [simplify]: Extracting #10: cost 0 inf + 2428 6.773 * [simplify]: Simplified to (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 6.773 * [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)))))) 6.773 * * * * [progress]: [ 81 / 122 ] simplifiying candidate # 6.773 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.773 * * [simplify]: iters left: 6 (9 enodes) 6.775 * * [simplify]: iters left: 5 (30 enodes) 6.783 * * [simplify]: iters left: 4 (33 enodes) 6.792 * * [simplify]: Extracting #0: cost 1 inf + 0 6.792 * * [simplify]: Extracting #1: cost 3 inf + 0 6.792 * * [simplify]: Extracting #2: cost 5 inf + 0 6.793 * * [simplify]: Extracting #3: cost 9 inf + 0 6.793 * * [simplify]: Extracting #4: cost 11 inf + 1 6.793 * * [simplify]: Extracting #5: cost 12 inf + 83 6.793 * * [simplify]: Extracting #6: cost 14 inf + 124 6.793 * * [simplify]: Extracting #7: cost 10 inf + 248 6.793 * * [simplify]: Extracting #8: cost 8 inf + 532 6.794 * * [simplify]: Extracting #9: cost 4 inf + 1260 6.794 * * [simplify]: Extracting #10: cost 0 inf + 2268 6.795 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.795 * [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)))))) 6.795 * * * * [progress]: [ 82 / 122 ] simplifiying candidate # 6.796 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 6.796 * * [simplify]: iters left: 6 (8 enodes) 6.799 * * [simplify]: iters left: 5 (27 enodes) 6.806 * * [simplify]: iters left: 4 (30 enodes) 6.814 * * [simplify]: Extracting #0: cost 1 inf + 0 6.814 * * [simplify]: Extracting #1: cost 3 inf + 0 6.814 * * [simplify]: Extracting #2: cost 7 inf + 0 6.814 * * [simplify]: Extracting #3: cost 9 inf + 1 6.814 * * [simplify]: Extracting #4: cost 10 inf + 83 6.814 * * [simplify]: Extracting #5: cost 12 inf + 124 6.815 * * [simplify]: Extracting #6: cost 9 inf + 207 6.815 * * [simplify]: Extracting #7: cost 5 inf + 654 6.815 * * [simplify]: Extracting #8: cost 1 inf + 1462 6.816 * * [simplify]: Extracting #9: cost 0 inf + 1704 6.816 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 6.817 * [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))))) 6.817 * * * * [progress]: [ 83 / 122 ] simplifiying candidate # 6.817 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 6.817 * * [simplify]: iters left: 6 (10 enodes) 6.821 * * [simplify]: iters left: 5 (33 enodes) 6.830 * * [simplify]: iters left: 4 (36 enodes) 6.840 * * [simplify]: Extracting #0: cost 1 inf + 0 6.840 * * [simplify]: Extracting #1: cost 3 inf + 0 6.840 * * [simplify]: Extracting #2: cost 7 inf + 0 6.840 * * [simplify]: Extracting #3: cost 12 inf + 0 6.840 * * [simplify]: Extracting #4: cost 13 inf + 1 6.840 * * [simplify]: Extracting #5: cost 14 inf + 83 6.840 * * [simplify]: Extracting #6: cost 14 inf + 286 6.840 * * [simplify]: Extracting #7: cost 11 inf + 369 6.841 * * [simplify]: Extracting #8: cost 7 inf + 816 6.842 * * [simplify]: Extracting #9: cost 0 inf + 2590 6.842 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 6.842 * [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)))))) 6.843 * * * * [progress]: [ 84 / 122 ] simplifiying candidate # 6.843 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 6.843 * * [simplify]: iters left: 6 (10 enodes) 6.847 * * [simplify]: iters left: 5 (33 enodes) 6.856 * * [simplify]: iters left: 4 (36 enodes) 6.865 * * [simplify]: Extracting #0: cost 1 inf + 0 6.865 * * [simplify]: Extracting #1: cost 3 inf + 0 6.865 * * [simplify]: Extracting #2: cost 7 inf + 0 6.866 * * [simplify]: Extracting #3: cost 12 inf + 0 6.866 * * [simplify]: Extracting #4: cost 13 inf + 1 6.866 * * [simplify]: Extracting #5: cost 14 inf + 83 6.866 * * [simplify]: Extracting #6: cost 14 inf + 286 6.866 * * [simplify]: Extracting #7: cost 11 inf + 369 6.866 * * [simplify]: Extracting #8: cost 7 inf + 816 6.867 * * [simplify]: Extracting #9: cost 0 inf + 2590 6.868 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 6.868 * [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)))))) 6.868 * * * * [progress]: [ 85 / 122 ] simplifiying candidate # 6.869 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 6.869 * * [simplify]: iters left: 6 (8 enodes) 6.872 * * [simplify]: iters left: 5 (27 enodes) 6.879 * * [simplify]: iters left: 4 (30 enodes) 6.887 * * [simplify]: Extracting #0: cost 1 inf + 0 6.887 * * [simplify]: Extracting #1: cost 3 inf + 0 6.887 * * [simplify]: Extracting #2: cost 7 inf + 0 6.888 * * [simplify]: Extracting #3: cost 9 inf + 1 6.888 * * [simplify]: Extracting #4: cost 10 inf + 83 6.888 * * [simplify]: Extracting #5: cost 12 inf + 124 6.888 * * [simplify]: Extracting #6: cost 9 inf + 207 6.888 * * [simplify]: Extracting #7: cost 5 inf + 654 6.889 * * [simplify]: Extracting #8: cost 1 inf + 1462 6.889 * * [simplify]: Extracting #9: cost 0 inf + 1704 6.890 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 6.890 * [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))))) 6.890 * * * * [progress]: [ 86 / 122 ] simplifiying candidate # 6.890 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.890 * * [simplify]: iters left: 6 (9 enodes) 6.894 * * [simplify]: iters left: 5 (30 enodes) 6.902 * * [simplify]: iters left: 4 (33 enodes) 6.911 * * [simplify]: Extracting #0: cost 1 inf + 0 6.911 * * [simplify]: Extracting #1: cost 3 inf + 0 6.911 * * [simplify]: Extracting #2: cost 5 inf + 0 6.911 * * [simplify]: Extracting #3: cost 9 inf + 0 6.912 * * [simplify]: Extracting #4: cost 11 inf + 1 6.912 * * [simplify]: Extracting #5: cost 12 inf + 83 6.912 * * [simplify]: Extracting #6: cost 14 inf + 124 6.912 * * [simplify]: Extracting #7: cost 10 inf + 248 6.913 * * [simplify]: Extracting #8: cost 8 inf + 532 6.914 * * [simplify]: Extracting #9: cost 4 inf + 1260 6.915 * * [simplify]: Extracting #10: cost 0 inf + 2268 6.915 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.915 * [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)))))) 6.916 * * * * [progress]: [ 87 / 122 ] simplifiying candidate # 6.916 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 6.916 * * [simplify]: iters left: 6 (8 enodes) 6.919 * * [simplify]: iters left: 5 (27 enodes) 6.927 * * [simplify]: iters left: 4 (30 enodes) 6.935 * * [simplify]: Extracting #0: cost 1 inf + 0 6.935 * * [simplify]: Extracting #1: cost 3 inf + 0 6.935 * * [simplify]: Extracting #2: cost 7 inf + 0 6.935 * * [simplify]: Extracting #3: cost 9 inf + 1 6.935 * * [simplify]: Extracting #4: cost 10 inf + 83 6.935 * * [simplify]: Extracting #5: cost 12 inf + 124 6.935 * * [simplify]: Extracting #6: cost 9 inf + 207 6.936 * * [simplify]: Extracting #7: cost 5 inf + 654 6.936 * * [simplify]: Extracting #8: cost 1 inf + 1462 6.937 * * [simplify]: Extracting #9: cost 0 inf + 1704 6.937 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 6.937 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) 1) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.937 * * * * [progress]: [ 88 / 122 ] simplifiying candidate # 6.938 * [simplify]: Simplifying (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 6.938 * * [simplify]: iters left: 6 (7 enodes) 6.942 * * [simplify]: iters left: 5 (24 enodes) 6.948 * * [simplify]: iters left: 4 (28 enodes) 6.952 * * [simplify]: Extracting #0: cost 1 inf + 0 6.952 * * [simplify]: Extracting #1: cost 3 inf + 0 6.952 * * [simplify]: Extracting #2: cost 5 inf + 0 6.953 * * [simplify]: Extracting #3: cost 7 inf + 0 6.953 * * [simplify]: Extracting #4: cost 12 inf + 0 6.953 * * [simplify]: Extracting #5: cost 12 inf + 2 6.953 * * [simplify]: Extracting #6: cost 6 inf + 332 6.953 * * [simplify]: Extracting #7: cost 3 inf + 778 6.953 * * [simplify]: Extracting #8: cost 1 inf + 1222 6.953 * * [simplify]: Extracting #9: cost 0 inf + 1464 6.954 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 6.954 * [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)))))))) 6.954 * * * * [progress]: [ 89 / 122 ] simplifiying candidate # 6.954 * [simplify]: Simplifying (sqrt 2.0) 6.954 * * [simplify]: iters left: 1 (2 enodes) 6.955 * * [simplify]: Extracting #0: cost 1 inf + 0 6.955 * * [simplify]: Extracting #1: cost 3 inf + 0 6.955 * * [simplify]: Extracting #2: cost 2 inf + 1 6.955 * * [simplify]: Extracting #3: cost 0 inf + 83 6.955 * [simplify]: Simplified to (sqrt 2.0) 6.955 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im)))))) 6.955 * * * * [progress]: [ 90 / 122 ] simplifiying candidate # 6.955 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 6.955 * * [simplify]: iters left: 6 (6 enodes) 6.957 * * [simplify]: iters left: 5 (21 enodes) 6.960 * * [simplify]: iters left: 4 (25 enodes) 6.964 * * [simplify]: Extracting #0: cost 1 inf + 0 6.964 * * [simplify]: Extracting #1: cost 3 inf + 0 6.964 * * [simplify]: Extracting #2: cost 5 inf + 0 6.964 * * [simplify]: Extracting #3: cost 10 inf + 0 6.964 * * [simplify]: Extracting #4: cost 10 inf + 2 6.964 * * [simplify]: Extracting #5: cost 1 inf + 738 6.965 * * [simplify]: Extracting #6: cost 0 inf + 900 6.965 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 6.965 * [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)))))))) 6.965 * * * * [progress]: [ 91 / 122 ] simplifiying candidate # 6.965 * * * * [progress]: [ 92 / 122 ] simplifiying candidate # 6.965 * [simplify]: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 6.965 * * [simplify]: iters left: 6 (11 enodes) 6.968 * * [simplify]: iters left: 5 (39 enodes) 6.973 * * [simplify]: iters left: 4 (63 enodes) 6.986 * * [simplify]: iters left: 3 (86 enodes) 7.001 * * [simplify]: iters left: 2 (104 enodes) 7.015 * * [simplify]: Extracting #0: cost 1 inf + 0 7.015 * * [simplify]: Extracting #1: cost 3 inf + 0 7.015 * * [simplify]: Extracting #2: cost 14 inf + 0 7.015 * * [simplify]: Extracting #3: cost 30 inf + 0 7.015 * * [simplify]: Extracting #4: cost 29 inf + 125 7.015 * * [simplify]: Extracting #5: cost 20 inf + 978 7.016 * * [simplify]: Extracting #6: cost 8 inf + 3642 7.018 * * [simplify]: Extracting #7: cost 0 inf + 5818 7.019 * [simplify]: Simplified to (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) 7.019 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)))))) 7.019 * * * * [progress]: [ 93 / 122 ] simplifiying candidate # 7.019 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 7.020 * * [simplify]: iters left: 6 (8 enodes) 7.021 * * [simplify]: iters left: 5 (26 enodes) 7.026 * * [simplify]: Extracting #0: cost 1 inf + 0 7.026 * * [simplify]: Extracting #1: cost 3 inf + 0 7.026 * * [simplify]: Extracting #2: cost 6 inf + 0 7.027 * * [simplify]: Extracting #3: cost 7 inf + 1 7.027 * * [simplify]: Extracting #4: cost 10 inf + 1 7.027 * * [simplify]: Extracting #5: cost 12 inf + 42 7.027 * * [simplify]: Extracting #6: cost 9 inf + 125 7.027 * * [simplify]: Extracting #7: cost 5 inf + 572 7.027 * * [simplify]: Extracting #8: cost 1 inf + 1380 7.028 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.028 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 7.028 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 7.029 * * * * [progress]: [ 94 / 122 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.029 * * * * [progress]: [ 95 / 122 ] simplifiying candidate # 7.029 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 7.029 * * [simplify]: iters left: 6 (9 enodes) 7.033 * * [simplify]: iters left: 5 (30 enodes) 7.041 * * [simplify]: iters left: 4 (34 enodes) 7.050 * * [simplify]: iters left: 3 (39 enodes) 7.060 * * [simplify]: iters left: 2 (44 enodes) 7.073 * * [simplify]: iters left: 1 (52 enodes) 7.087 * * [simplify]: Extracting #0: cost 1 inf + 0 7.087 * * [simplify]: Extracting #1: cost 9 inf + 0 7.087 * * [simplify]: Extracting #2: cost 15 inf + 1 7.088 * * [simplify]: Extracting #3: cost 17 inf + 2 7.088 * * [simplify]: Extracting #4: cost 18 inf + 114 7.088 * * [simplify]: Extracting #5: cost 15 inf + 601 7.088 * * [simplify]: Extracting #6: cost 7 inf + 1413 7.089 * * [simplify]: Extracting #7: cost 0 inf + 3047 7.090 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 7.090 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 7.091 * * * * [progress]: [ 96 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 97 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 98 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 99 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 100 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 101 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 102 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 103 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 104 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 105 / 122 ] simplifiying candidate # 7.091 * * * * [progress]: [ 106 / 122 ] simplifiying candidate # 7.092 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.092 * * [simplify]: iters left: 6 (9 enodes) 7.095 * * [simplify]: iters left: 5 (29 enodes) 7.103 * * [simplify]: Extracting #0: cost 1 inf + 0 7.103 * * [simplify]: Extracting #1: cost 4 inf + 0 7.103 * * [simplify]: Extracting #2: cost 8 inf + 0 7.103 * * [simplify]: Extracting #3: cost 9 inf + 1 7.103 * * [simplify]: Extracting #4: cost 11 inf + 42 7.103 * * [simplify]: Extracting #5: cost 12 inf + 124 7.104 * * [simplify]: Extracting #6: cost 8 inf + 248 7.104 * * [simplify]: Extracting #7: cost 5 inf + 654 7.104 * * [simplify]: Extracting #8: cost 2 inf + 1300 7.105 * * [simplify]: Extracting #9: cost 0 inf + 1784 7.105 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 7.105 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.106 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.106 * * [simplify]: iters left: 6 (9 enodes) 7.110 * * [simplify]: iters left: 5 (30 enodes) 7.118 * * [simplify]: iters left: 4 (33 enodes) 7.126 * * [simplify]: Extracting #0: cost 1 inf + 0 7.126 * * [simplify]: Extracting #1: cost 5 inf + 0 7.126 * * [simplify]: Extracting #2: cost 10 inf + 0 7.127 * * [simplify]: Extracting #3: cost 11 inf + 1 7.127 * * [simplify]: Extracting #4: cost 10 inf + 245 7.127 * * [simplify]: Extracting #5: cost 12 inf + 286 7.127 * * [simplify]: Extracting #6: cost 8 inf + 410 7.127 * * [simplify]: Extracting #7: cost 6 inf + 694 7.128 * * [simplify]: Extracting #8: cost 1 inf + 1744 7.129 * * [simplify]: Extracting #9: cost 0 inf + 1946 7.129 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.129 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.130 * * * * [progress]: [ 107 / 122 ] simplifiying candidate # 7.130 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.130 * * [simplify]: iters left: 6 (9 enodes) 7.134 * * [simplify]: iters left: 5 (29 enodes) 7.143 * * [simplify]: Extracting #0: cost 1 inf + 0 7.143 * * [simplify]: Extracting #1: cost 4 inf + 0 7.143 * * [simplify]: Extracting #2: cost 8 inf + 0 7.143 * * [simplify]: Extracting #3: cost 9 inf + 1 7.143 * * [simplify]: Extracting #4: cost 11 inf + 42 7.143 * * [simplify]: Extracting #5: cost 12 inf + 124 7.143 * * [simplify]: Extracting #6: cost 8 inf + 248 7.144 * * [simplify]: Extracting #7: cost 5 inf + 654 7.144 * * [simplify]: Extracting #8: cost 2 inf + 1300 7.145 * * [simplify]: Extracting #9: cost 0 inf + 1784 7.145 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 7.145 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.146 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.146 * * [simplify]: iters left: 6 (9 enodes) 7.149 * * [simplify]: iters left: 5 (30 enodes) 7.158 * * [simplify]: iters left: 4 (33 enodes) 7.166 * * [simplify]: Extracting #0: cost 1 inf + 0 7.166 * * [simplify]: Extracting #1: cost 5 inf + 0 7.166 * * [simplify]: Extracting #2: cost 10 inf + 0 7.166 * * [simplify]: Extracting #3: cost 11 inf + 1 7.166 * * [simplify]: Extracting #4: cost 10 inf + 245 7.167 * * [simplify]: Extracting #5: cost 12 inf + 286 7.167 * * [simplify]: Extracting #6: cost 8 inf + 410 7.167 * * [simplify]: Extracting #7: cost 6 inf + 694 7.168 * * [simplify]: Extracting #8: cost 1 inf + 1744 7.168 * * [simplify]: Extracting #9: cost 0 inf + 1946 7.169 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.169 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.169 * * * * [progress]: [ 108 / 122 ] simplifiying candidate # 7.169 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 7.170 * * [simplify]: iters left: 6 (7 enodes) 7.173 * * [simplify]: iters left: 5 (24 enodes) 7.179 * * [simplify]: iters left: 4 (27 enodes) 7.186 * * [simplify]: Extracting #0: cost 1 inf + 0 7.186 * * [simplify]: Extracting #1: cost 5 inf + 0 7.186 * * [simplify]: Extracting #2: cost 7 inf + 1 7.186 * * [simplify]: Extracting #3: cost 8 inf + 83 7.187 * * [simplify]: Extracting #4: cost 10 inf + 124 7.187 * * [simplify]: Extracting #5: cost 6 inf + 248 7.187 * * [simplify]: Extracting #6: cost 3 inf + 654 7.187 * * [simplify]: Extracting #7: cost 1 inf + 1018 7.188 * * [simplify]: Extracting #8: cost 0 inf + 1220 7.188 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 7.188 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 7.189 * * * * [progress]: [ 109 / 122 ] simplifiying candidate # 7.189 * * * * [progress]: [ 110 / 122 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.189 * * * * [progress]: [ 111 / 122 ] simplifiying candidate # 7.189 * [simplify]: Simplifying im 7.189 * * [simplify]: iters left: 0 (1 enodes) 7.190 * * [simplify]: Extracting #0: cost 1 inf + 0 7.190 * * [simplify]: Extracting #1: cost 0 inf + 1 7.190 * [simplify]: Simplified to im 7.190 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 7.190 * * * * [progress]: [ 112 / 122 ] simplifiying candidate # 7.190 * [simplify]: Simplifying re 7.190 * * [simplify]: iters left: 0 (1 enodes) 7.190 * * [simplify]: Extracting #0: cost 1 inf + 0 7.190 * * [simplify]: Extracting #1: cost 0 inf + 1 7.190 * [simplify]: Simplified to re 7.191 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- re re))))) 7.191 * * * * [progress]: [ 113 / 122 ] simplifiying candidate # 7.191 * [simplify]: Simplifying (* -1 re) 7.191 * * [simplify]: iters left: 2 (3 enodes) 7.193 * * [simplify]: iters left: 1 (11 enodes) 7.196 * * [simplify]: Extracting #0: cost 1 inf + 0 7.196 * * [simplify]: Extracting #1: cost 4 inf + 0 7.196 * * [simplify]: Extracting #2: cost 0 inf + 84 7.196 * [simplify]: Simplified to (- re) 7.197 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (- re) re))))) 7.197 * * * * [progress]: [ 114 / 122 ] simplifiying candidate # 7.197 * [simplify]: Simplifying (* (sqrt 2.0) im) 7.197 * * [simplify]: iters left: 3 (4 enodes) 7.200 * * [simplify]: iters left: 2 (13 enodes) 7.204 * * [simplify]: Extracting #0: cost 1 inf + 0 7.204 * * [simplify]: Extracting #1: cost 4 inf + 0 7.204 * * [simplify]: Extracting #2: cost 5 inf + 1 7.204 * * [simplify]: Extracting #3: cost 4 inf + 2 7.204 * * [simplify]: Extracting #4: cost 0 inf + 248 7.205 * [simplify]: Simplified to (* im (sqrt 2.0)) 7.205 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.205 * * * * [progress]: [ 115 / 122 ] simplifiying candidate # 7.205 * [simplify]: Simplifying (* (sqrt 2.0) im) 7.205 * * [simplify]: iters left: 3 (4 enodes) 7.208 * * [simplify]: iters left: 2 (13 enodes) 7.212 * * [simplify]: Extracting #0: cost 1 inf + 0 7.212 * * [simplify]: Extracting #1: cost 4 inf + 0 7.212 * * [simplify]: Extracting #2: cost 5 inf + 1 7.212 * * [simplify]: Extracting #3: cost 4 inf + 2 7.212 * * [simplify]: Extracting #4: cost 0 inf + 248 7.212 * [simplify]: Simplified to (* im (sqrt 2.0)) 7.212 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.212 * * * * [progress]: [ 116 / 122 ] simplifiying candidate # 7.213 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 7.213 * * [simplify]: iters left: 5 (6 enodes) 7.217 * * [simplify]: iters left: 4 (23 enodes) 7.224 * * [simplify]: iters left: 3 (36 enodes) 7.235 * * [simplify]: iters left: 2 (41 enodes) 7.240 * * [simplify]: Extracting #0: cost 1 inf + 0 7.240 * * [simplify]: Extracting #1: cost 8 inf + 0 7.240 * * [simplify]: Extracting #2: cost 10 inf + 43 7.240 * * [simplify]: Extracting #3: cost 8 inf + 85 7.241 * * [simplify]: Extracting #4: cost 2 inf + 534 7.241 * * [simplify]: Extracting #5: cost 0 inf + 737 7.241 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 7.241 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (- (* (sqrt 2.0) im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.241 * * * * [progress]: [ 117 / 122 ] simplifiying candidate # 7.241 * [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))))))))) 7.241 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 7.241 * * * * [progress]: [ 118 / 122 ] simplifiying candidate # 7.242 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 7.242 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 7.242 * * * * [progress]: [ 119 / 122 ] simplifiying candidate # 7.242 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 7.242 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 7.242 * * * * [progress]: [ 120 / 122 ] simplifiying candidate # 7.242 * [simplify]: Simplifying (- im re) 7.242 * * [simplify]: iters left: 2 (3 enodes) 7.243 * * [simplify]: iters left: 1 (11 enodes) 7.244 * * [simplify]: Extracting #0: cost 1 inf + 0 7.244 * * [simplify]: Extracting #1: cost 5 inf + 0 7.244 * * [simplify]: Extracting #2: cost 3 inf + 43 7.244 * * [simplify]: Extracting #3: cost 0 inf + 168 7.244 * [simplify]: Simplified to (- im re) 7.244 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 7.244 * * * * [progress]: [ 121 / 122 ] simplifiying candidate # 7.245 * [simplify]: Simplifying 0 7.245 * * [simplify]: iters left: 0 (1 enodes) 7.245 * * [simplify]: Extracting #0: cost 1 inf + 0 7.245 * * [simplify]: Extracting #1: cost 0 inf + 1 7.245 * [simplify]: Simplified to 0 7.245 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt 0)))) 7.245 * * * * [progress]: [ 122 / 122 ] simplifiying candidate # 7.246 * [simplify]: Simplifying (* -2 re) 7.246 * * [simplify]: iters left: 2 (3 enodes) 7.246 * * [simplify]: iters left: 1 (10 enodes) 7.248 * * [simplify]: Extracting #0: cost 1 inf + 0 7.248 * * [simplify]: Extracting #1: cost 4 inf + 0 7.248 * * [simplify]: Extracting #2: cost 2 inf + 2 7.248 * * [simplify]: Extracting #3: cost 0 inf + 86 7.248 * [simplify]: Simplified to (* -2 re) 7.248 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re))))) 7.248 * * * [progress]: adding candidates to table 8.733 * * [progress]: iteration 3 / 4 8.733 * * * [progress]: picking best candidate 8.775 * * * * [pick]: Picked # 8.775 * * * [progress]: localizing error 8.810 * * * [progress]: generating rewritten candidates 8.810 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 8.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 8.824 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 8.831 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 8.900 * * * [progress]: generating series expansions 8.900 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 8.900 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.900 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.900 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.900 * [taylor]: Taking taylor expansion of im in im 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 1 into 1 8.900 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.900 * [taylor]: Taking taylor expansion of re in im 8.900 * [backup-simplify]: Simplify re into re 8.900 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.900 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.900 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.900 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.901 * [backup-simplify]: Simplify (+ 0 0) into 0 8.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.901 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.901 * [taylor]: Taking taylor expansion of im in re 8.901 * [backup-simplify]: Simplify im into im 8.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.901 * [taylor]: Taking taylor expansion of re in re 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 1 into 1 8.901 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.901 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.901 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.902 * [backup-simplify]: Simplify (+ 0 0) into 0 8.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.902 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.902 * [taylor]: Taking taylor expansion of im in re 8.902 * [backup-simplify]: Simplify im into im 8.902 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.902 * [taylor]: Taking taylor expansion of re in re 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.902 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.902 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.902 * [backup-simplify]: Simplify (+ 0 0) into 0 8.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.902 * [taylor]: Taking taylor expansion of im in im 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in im 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.903 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.903 * [backup-simplify]: Simplify (* 1 1) into 1 8.903 * [backup-simplify]: Simplify (+ 0 1) into 1 8.904 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.904 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.904 * [taylor]: Taking taylor expansion of 1/2 in im 8.904 * [backup-simplify]: Simplify 1/2 into 1/2 8.904 * [taylor]: Taking taylor expansion of im in im 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.906 * [backup-simplify]: Simplify (+ 0 0) into 0 8.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.906 * [taylor]: Taking taylor expansion of 0 in im 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.907 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.907 * [taylor]: Taking taylor expansion of re in im 8.907 * [backup-simplify]: Simplify re into re 8.907 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.907 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.907 * [taylor]: Taking taylor expansion of im in im 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify 1 into 1 8.907 * [backup-simplify]: Simplify (* 1 1) into 1 8.908 * [backup-simplify]: Simplify (/ 1 1) into 1 8.908 * [backup-simplify]: Simplify (+ 0 1) into 1 8.908 * [backup-simplify]: Simplify (sqrt 1) into 1 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (+ 0 0) into 0 8.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.910 * [taylor]: Taking taylor expansion of re in re 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify (* 1 1) into 1 8.910 * [backup-simplify]: Simplify (/ 1 1) into 1 8.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.910 * [taylor]: Taking taylor expansion of im in re 8.910 * [backup-simplify]: Simplify im into im 8.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.911 * [backup-simplify]: Simplify (+ 1 0) into 1 8.911 * [backup-simplify]: Simplify (sqrt 1) into 1 8.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (+ 0 0) into 0 8.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.912 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.912 * [taylor]: Taking taylor expansion of re in re 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (* 1 1) into 1 8.913 * [backup-simplify]: Simplify (/ 1 1) into 1 8.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.913 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.913 * [taylor]: Taking taylor expansion of im in re 8.913 * [backup-simplify]: Simplify im into im 8.913 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.913 * [backup-simplify]: Simplify (+ 1 0) into 1 8.914 * [backup-simplify]: Simplify (sqrt 1) into 1 8.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.915 * [backup-simplify]: Simplify (+ 0 0) into 0 8.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.915 * [taylor]: Taking taylor expansion of 1 in im 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of 0 in im 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.917 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.917 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.917 * [taylor]: Taking taylor expansion of 1/2 in im 8.917 * [backup-simplify]: Simplify 1/2 into 1/2 8.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.917 * [taylor]: Taking taylor expansion of im in im 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.918 * [backup-simplify]: Simplify (* 1 1) into 1 8.918 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.922 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.922 * [taylor]: Taking taylor expansion of 0 in im 8.922 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.925 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.925 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.925 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.925 * [taylor]: Taking taylor expansion of re in im 8.925 * [backup-simplify]: Simplify re into re 8.926 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.926 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.926 * [taylor]: Taking taylor expansion of im in im 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [backup-simplify]: Simplify (* 1 1) into 1 8.926 * [backup-simplify]: Simplify (/ 1 1) into 1 8.927 * [backup-simplify]: Simplify (+ 0 1) into 1 8.927 * [backup-simplify]: Simplify (sqrt 1) into 1 8.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.929 * [backup-simplify]: Simplify (+ 0 0) into 0 8.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.930 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.930 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.930 * [taylor]: Taking taylor expansion of re in re 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (* 1 1) into 1 8.931 * [backup-simplify]: Simplify (/ 1 1) into 1 8.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.931 * [taylor]: Taking taylor expansion of im in re 8.931 * [backup-simplify]: Simplify im into im 8.931 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.931 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.931 * [backup-simplify]: Simplify (+ 1 0) into 1 8.932 * [backup-simplify]: Simplify (sqrt 1) into 1 8.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (+ 0 0) into 0 8.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.934 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.934 * [taylor]: Taking taylor expansion of re in re 8.934 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (* 1 1) into 1 8.935 * [backup-simplify]: Simplify (/ 1 1) into 1 8.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.935 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.935 * [taylor]: Taking taylor expansion of im in re 8.935 * [backup-simplify]: Simplify im into im 8.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.936 * [backup-simplify]: Simplify (+ 1 0) into 1 8.936 * [backup-simplify]: Simplify (sqrt 1) into 1 8.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (+ 0 0) into 0 8.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.939 * [taylor]: Taking taylor expansion of 1 in im 8.939 * [backup-simplify]: Simplify 1 into 1 8.939 * [taylor]: Taking taylor expansion of 0 in im 8.939 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify 1 into 1 8.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.942 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.943 * [taylor]: Taking taylor expansion of 1/2 in im 8.943 * [backup-simplify]: Simplify 1/2 into 1/2 8.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.943 * [taylor]: Taking taylor expansion of im in im 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (* 1 1) into 1 8.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.949 * [taylor]: Taking taylor expansion of 0 in im 8.949 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 8.951 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 8.951 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 8.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.951 * [taylor]: Taking taylor expansion of 2.0 in im 8.951 * [backup-simplify]: Simplify 2.0 into 2.0 8.952 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.952 * [taylor]: Taking taylor expansion of im in im 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 1 into 1 8.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.953 * [taylor]: Taking taylor expansion of 2.0 in im 8.953 * [backup-simplify]: Simplify 2.0 into 2.0 8.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.954 * [taylor]: Taking taylor expansion of im in im 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 1 into 1 8.954 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 8.957 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.958 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.959 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 8.959 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.962 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.965 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.969 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.972 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.976 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 8.976 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 8.977 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 8.977 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.977 * [taylor]: Taking taylor expansion of 2.0 in im 8.977 * [backup-simplify]: Simplify 2.0 into 2.0 8.977 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.983 * [taylor]: Taking taylor expansion of im in im 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.984 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.984 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.984 * [taylor]: Taking taylor expansion of 2.0 in im 8.984 * [backup-simplify]: Simplify 2.0 into 2.0 8.985 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.986 * [taylor]: Taking taylor expansion of im in im 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.987 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.987 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.988 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.996 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.999 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.002 * [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 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 9.003 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 9.003 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 9.003 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.003 * [taylor]: Taking taylor expansion of 2.0 in im 9.003 * [backup-simplify]: Simplify 2.0 into 2.0 9.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.003 * [taylor]: Taking taylor expansion of im in im 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.004 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.004 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.004 * [taylor]: Taking taylor expansion of 2.0 in im 9.004 * [backup-simplify]: Simplify 2.0 into 2.0 9.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.005 * [taylor]: Taking taylor expansion of im in im 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.006 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.006 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.009 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.014 * [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 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 9.014 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 9.014 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 9.014 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 9.014 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.014 * [taylor]: Taking taylor expansion of 2.0 in im 9.014 * [backup-simplify]: Simplify 2.0 into 2.0 9.015 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.015 * [taylor]: Taking taylor expansion of im in im 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify 1 into 1 9.015 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.015 * [taylor]: Taking taylor expansion of 2.0 in im 9.015 * [backup-simplify]: Simplify 2.0 into 2.0 9.015 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.016 * [taylor]: Taking taylor expansion of im in im 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.016 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.018 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.019 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.019 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.020 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.022 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.022 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.024 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.024 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.026 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.026 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.028 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 9.028 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 9.029 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 9.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.029 * [taylor]: Taking taylor expansion of 2.0 in im 9.029 * [backup-simplify]: Simplify 2.0 into 2.0 9.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.029 * [taylor]: Taking taylor expansion of im in im 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 1 into 1 9.030 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.030 * [taylor]: Taking taylor expansion of 2.0 in im 9.030 * [backup-simplify]: Simplify 2.0 into 2.0 9.030 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.031 * [taylor]: Taking taylor expansion of im in im 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.031 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.032 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.038 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.044 * [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 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 9.044 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 9.044 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 9.044 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.044 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.044 * [taylor]: Taking taylor expansion of 2.0 in im 9.044 * [backup-simplify]: Simplify 2.0 into 2.0 9.045 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.046 * [taylor]: Taking taylor expansion of im in im 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 1 into 1 9.047 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.047 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.047 * [taylor]: Taking taylor expansion of 2.0 in im 9.047 * [backup-simplify]: Simplify 2.0 into 2.0 9.047 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.048 * [taylor]: Taking taylor expansion of im in im 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.049 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.058 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.063 * [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 9.063 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 9.064 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 9.064 * [backup-simplify]: Simplify (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) into (sqrt (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im))) 9.065 * [approximate]: Taking taylor expansion of (sqrt (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im))) in (re im) around 0 9.065 * [taylor]: Taking taylor expansion of (sqrt (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im))) in im 9.065 * [taylor]: Taking taylor expansion of (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im)) in im 9.065 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.065 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.065 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.065 * [taylor]: Taking taylor expansion of im in im 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 1 into 1 9.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.065 * [taylor]: Taking taylor expansion of re in im 9.065 * [backup-simplify]: Simplify re into re 9.065 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.065 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.065 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.065 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.066 * [taylor]: Taking taylor expansion of re in im 9.066 * [backup-simplify]: Simplify re into re 9.066 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.066 * [taylor]: Taking taylor expansion of 2.0 in im 9.066 * [backup-simplify]: Simplify 2.0 into 2.0 9.066 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.067 * [taylor]: Taking taylor expansion of im in im 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 1 into 1 9.067 * [backup-simplify]: Simplify (- re) into (- re) 9.067 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.068 * [backup-simplify]: Simplify (- 0) into 0 9.068 * [backup-simplify]: Simplify (+ 0 0) into 0 9.069 * [backup-simplify]: Simplify (* 1 1) into 1 9.069 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.069 * [backup-simplify]: Simplify (+ 1 0) into 1 9.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.071 * [backup-simplify]: Simplify (- 0) into 0 9.071 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.071 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.073 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.074 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 re)) (sqrt 2.0)) into (/ 1/2 (* (sqrt 2.0) re)) 9.075 * [backup-simplify]: Simplify (sqrt 0) into 0 9.076 * [backup-simplify]: Simplify (/ (/ 1/2 (* (sqrt 2.0) re)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt 2.0) re)) 9.076 * [taylor]: Taking taylor expansion of (sqrt (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im))) in re 9.076 * [taylor]: Taking taylor expansion of (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im)) in re 9.076 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.076 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.076 * [taylor]: Taking taylor expansion of im in re 9.076 * [backup-simplify]: Simplify im into im 9.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.076 * [taylor]: Taking taylor expansion of re in re 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.076 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.076 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.077 * [backup-simplify]: Simplify (+ 0 0) into 0 9.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.077 * [taylor]: Taking taylor expansion of re in re 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 9.077 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.077 * [taylor]: Taking taylor expansion of 2.0 in re 9.077 * [backup-simplify]: Simplify 2.0 into 2.0 9.077 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.078 * [taylor]: Taking taylor expansion of im in re 9.078 * [backup-simplify]: Simplify im into im 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify (+ im 0) into im 9.079 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 9.080 * [backup-simplify]: Simplify (/ im (* (sqrt 2.0) im)) into (/ 1 (sqrt 2.0)) 9.081 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.082 * [backup-simplify]: Simplify (- 1) into -1 9.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.083 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 im)) into 0 9.084 * [backup-simplify]: Simplify (- (/ -1 (* (sqrt 2.0) im)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (* (sqrt 2.0) im))))) into (- (/ 1 (* (sqrt 2.0) im))) 9.087 * [backup-simplify]: Simplify (/ (- (/ 1 (* (sqrt 2.0) im))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 im))) 9.087 * [taylor]: Taking taylor expansion of (sqrt (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im))) in re 9.087 * [taylor]: Taking taylor expansion of (/ (- (sqrt (+ (pow im 2) (pow re 2))) re) (* (sqrt 2.0) im)) in re 9.087 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.087 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.087 * [taylor]: Taking taylor expansion of im in re 9.087 * [backup-simplify]: Simplify im into im 9.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.088 * [taylor]: Taking taylor expansion of re in re 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.088 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.088 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.088 * [backup-simplify]: Simplify (+ 0 0) into 0 9.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.088 * [taylor]: Taking taylor expansion of re in re 9.088 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 1 into 1 9.089 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 9.089 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.089 * [taylor]: Taking taylor expansion of 2.0 in re 9.089 * [backup-simplify]: Simplify 2.0 into 2.0 9.089 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.090 * [taylor]: Taking taylor expansion of im in re 9.090 * [backup-simplify]: Simplify im into im 9.090 * [backup-simplify]: Simplify (- 0) into 0 9.090 * [backup-simplify]: Simplify (+ im 0) into im 9.091 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 9.091 * [backup-simplify]: Simplify (/ im (* (sqrt 2.0) im)) into (/ 1 (sqrt 2.0)) 9.093 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.093 * [backup-simplify]: Simplify (- 1) into -1 9.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.094 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 im)) into 0 9.095 * [backup-simplify]: Simplify (- (/ -1 (* (sqrt 2.0) im)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (* (sqrt 2.0) im))))) into (- (/ 1 (* (sqrt 2.0) im))) 9.097 * [backup-simplify]: Simplify (/ (- (/ 1 (* (sqrt 2.0) im))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 im))) 9.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in im 9.097 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in im 9.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.097 * [taylor]: Taking taylor expansion of 2.0 in im 9.097 * [backup-simplify]: Simplify 2.0 into 2.0 9.097 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.098 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.099 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 9.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.101 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.101 * [taylor]: Taking taylor expansion of (* -1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 im))) in im 9.101 * [taylor]: Taking taylor expansion of -1/2 in im 9.101 * [backup-simplify]: Simplify -1/2 into -1/2 9.101 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 im)) in im 9.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in im 9.101 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in im 9.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.102 * [taylor]: Taking taylor expansion of 2.0 in im 9.102 * [backup-simplify]: Simplify 2.0 into 2.0 9.102 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.103 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.108 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 9.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.109 * [taylor]: Taking taylor expansion of im in im 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.110 * [backup-simplify]: Simplify (/ 1 1) into 1 9.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.111 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0 9.113 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0))) 9.113 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.114 * [backup-simplify]: Simplify (* 1 1) into 1 9.114 * [backup-simplify]: Simplify (+ 0 1) into 1 9.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.115 * [backup-simplify]: Simplify (- 0) into 0 9.115 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 9.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.116 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 im))) into 0 9.118 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 im)) (* (sqrt 2.0) im)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (* (sqrt 2.0) im))) (* (- (/ 1 (* (sqrt 2.0) im))) (/ 0 (* (sqrt 2.0) im))))) into (* 1/2 (/ 1 (* (sqrt 2.0) (pow im 2)))) 9.121 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (* (sqrt 2.0) (pow im 2)))) (pow (* -1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 im))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* 1/8 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow im 2)))) 9.121 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow im 2)))) in im 9.121 * [taylor]: Taking taylor expansion of 1/8 in im 9.121 * [backup-simplify]: Simplify 1/8 into 1/8 9.121 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow im 2))) in im 9.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in im 9.121 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in im 9.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.121 * [taylor]: Taking taylor expansion of 2.0 in im 9.121 * [backup-simplify]: Simplify 2.0 into 2.0 9.121 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.122 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.123 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 9.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.124 * [taylor]: Taking taylor expansion of im in im 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.125 * [backup-simplify]: Simplify (* 1 1) into 1 9.125 * [backup-simplify]: Simplify (/ 1 1) into 1 9.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.128 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 9.131 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.132 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 1))) into 0 9.133 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0 9.136 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0))) 9.138 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))) into 0 9.138 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 9.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.144 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 1))) into 0 9.146 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))) into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 9.150 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.152 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.152 * [backup-simplify]: Simplify (- 0) into 0 9.153 * [backup-simplify]: Simplify (+ 0 0) into 0 9.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.155 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.157 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) im)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (* (sqrt 2.0) im))) (* (- (/ 1 (* (sqrt 2.0) im))) (/ 0 (* (sqrt 2.0) im))) (* (* 1/2 (/ 1 (* (sqrt 2.0) (pow im 2)))) (/ 0 (* (sqrt 2.0) im))))) into 0 9.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 im))) (* 1/8 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow im 2)))))))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* 1/16 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow im 3)))) 9.161 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow im 3)))) in im 9.161 * [taylor]: Taking taylor expansion of 1/16 in im 9.161 * [backup-simplify]: Simplify 1/16 into 1/16 9.161 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow im 3))) in im 9.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in im 9.161 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in im 9.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.161 * [taylor]: Taking taylor expansion of 2.0 in im 9.161 * [backup-simplify]: Simplify 2.0 into 2.0 9.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.162 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.163 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 9.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 9.164 * [taylor]: Taking taylor expansion of (pow im 3) in im 9.164 * [taylor]: Taking taylor expansion of im in im 9.164 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify 1 into 1 9.165 * [backup-simplify]: Simplify (* 1 1) into 1 9.165 * [backup-simplify]: Simplify (* 1 1) into 1 9.165 * [backup-simplify]: Simplify (/ 1 1) into 1 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 9.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 9.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0 9.175 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.176 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 1))) into 0 9.176 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0 9.178 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0))) 9.179 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))))) into 0 9.179 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.180 * [backup-simplify]: Simplify (/ (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) (sqrt (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))))) into (sqrt (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0))) 9.180 * [approximate]: Taking taylor expansion of (sqrt (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0))) in (re im) around 0 9.180 * [taylor]: Taking taylor expansion of (sqrt (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0))) in im 9.180 * [taylor]: Taking taylor expansion of (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0)) in im 9.180 * [taylor]: Taking taylor expansion of (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.180 * [taylor]: Taking taylor expansion of im in im 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify 1 into 1 9.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.180 * [taylor]: Taking taylor expansion of re in im 9.180 * [backup-simplify]: Simplify re into re 9.180 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.180 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.180 * [taylor]: Taking taylor expansion of im in im 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (* 1 1) into 1 9.181 * [backup-simplify]: Simplify (/ 1 1) into 1 9.181 * [backup-simplify]: Simplify (+ 0 1) into 1 9.181 * [backup-simplify]: Simplify (sqrt 1) into 1 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (+ 0 0) into 0 9.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.183 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.183 * [taylor]: Taking taylor expansion of re in im 9.183 * [backup-simplify]: Simplify re into re 9.183 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.183 * [taylor]: Taking taylor expansion of 2.0 in im 9.183 * [backup-simplify]: Simplify 2.0 into 2.0 9.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.184 * [backup-simplify]: Simplify (+ 1 0) into 1 9.184 * [backup-simplify]: Simplify (* 0 1) into 0 9.184 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 9.185 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 9.185 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 re))) (* 1 1)) into 1 9.185 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.186 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.189 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.190 * [backup-simplify]: Simplify (- 0) into 0 9.190 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 9.191 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 1 (- (/ 1 re))) (* 0 1))) into (- (/ 1 re)) 9.192 * [backup-simplify]: Simplify (- (/ (- (/ 1 re)) (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into (- (/ 1 (* (sqrt 2.0) re))) 9.195 * [backup-simplify]: Simplify (/ (- (/ 1 (* (sqrt 2.0) re))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 re))) 9.195 * [taylor]: Taking taylor expansion of (sqrt (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0))) in re 9.195 * [taylor]: Taking taylor expansion of (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0)) in re 9.195 * [taylor]: Taking taylor expansion of (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 9.195 * [taylor]: Taking taylor expansion of im in re 9.195 * [backup-simplify]: Simplify im into im 9.195 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.195 * [taylor]: Taking taylor expansion of re in re 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (* 1 1) into 1 9.196 * [backup-simplify]: Simplify (/ 1 1) into 1 9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.196 * [taylor]: Taking taylor expansion of im in re 9.196 * [backup-simplify]: Simplify im into im 9.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.196 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.197 * [backup-simplify]: Simplify (+ 1 0) into 1 9.197 * [backup-simplify]: Simplify (sqrt 1) into 1 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.200 * [taylor]: Taking taylor expansion of re in re 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.200 * [taylor]: Taking taylor expansion of 2.0 in re 9.200 * [backup-simplify]: Simplify 2.0 into 2.0 9.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.202 * [backup-simplify]: Simplify (- 1) into -1 9.202 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.202 * [backup-simplify]: Simplify (* im 0) into 0 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.203 * [backup-simplify]: Simplify (- 0) into 0 9.204 * [backup-simplify]: Simplify (+ 0 0) into 0 9.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 0)) into 0 9.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.206 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (- 0) into 0 9.208 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.209 * [backup-simplify]: Simplify (+ (* im (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1/2 (/ 1 im)) 9.209 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 im)) (sqrt 2.0)) into (/ 1/2 (* (sqrt 2.0) im)) 9.210 * [backup-simplify]: Simplify (sqrt 0) into 0 9.216 * [backup-simplify]: Simplify (/ (/ 1/2 (* (sqrt 2.0) im)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt 2.0) im)) 9.216 * [taylor]: Taking taylor expansion of (sqrt (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0))) in re 9.216 * [taylor]: Taking taylor expansion of (/ (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (sqrt 2.0)) in re 9.216 * [taylor]: Taking taylor expansion of (* im (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 9.217 * [taylor]: Taking taylor expansion of im in re 9.217 * [backup-simplify]: Simplify im into im 9.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.217 * [taylor]: Taking taylor expansion of re in re 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.218 * [backup-simplify]: Simplify (* 1 1) into 1 9.218 * [backup-simplify]: Simplify (/ 1 1) into 1 9.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.218 * [taylor]: Taking taylor expansion of im in re 9.218 * [backup-simplify]: Simplify im into im 9.218 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.219 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.219 * [backup-simplify]: Simplify (+ 1 0) into 1 9.220 * [backup-simplify]: Simplify (sqrt 1) into 1 9.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (+ 0 0) into 0 9.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.222 * [taylor]: Taking taylor expansion of re in re 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (/ 1 1) into 1 9.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.223 * [taylor]: Taking taylor expansion of 2.0 in re 9.223 * [backup-simplify]: Simplify 2.0 into 2.0 9.223 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.224 * [backup-simplify]: Simplify (- 1) into -1 9.225 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.225 * [backup-simplify]: Simplify (* im 0) into 0 9.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.226 * [backup-simplify]: Simplify (- 0) into 0 9.226 * [backup-simplify]: Simplify (+ 0 0) into 0 9.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 0)) into 0 9.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.230 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (- 0) into 0 9.231 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.232 * [backup-simplify]: Simplify (+ (* im (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1/2 (/ 1 im)) 9.232 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 im)) (sqrt 2.0)) into (/ 1/2 (* (sqrt 2.0) im)) 9.233 * [backup-simplify]: Simplify (sqrt 0) into 0 9.234 * [backup-simplify]: Simplify (/ (/ 1/2 (* (sqrt 2.0) im)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt 2.0) im)) 9.234 * [taylor]: Taking taylor expansion of 0 in im 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [taylor]: Taking taylor expansion of (/ +nan.0 (* (sqrt 2.0) im)) in im 9.234 * [taylor]: Taking taylor expansion of +nan.0 in im 9.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.234 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.234 * [taylor]: Taking taylor expansion of 2.0 in im 9.234 * [backup-simplify]: Simplify 2.0 into 2.0 9.234 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.235 * [taylor]: Taking taylor expansion of im in im 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.236 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.238 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.238 * [backup-simplify]: Simplify (/ +nan.0 (sqrt 2.0)) into (/ +nan.0 (sqrt 2.0)) 9.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.241 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.242 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ +nan.0 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.244 * [backup-simplify]: Simplify (+ 0 0) into 0 9.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.247 * [backup-simplify]: Simplify (- 0) into 0 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.248 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 9.249 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1/2 (* (sqrt 2.0) im)) (/ 0 (sqrt 2.0))))) into 0 9.251 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (* (sqrt 2.0) im)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow (sqrt 2.0) 2) (pow im 2))) 9.251 * [taylor]: Taking taylor expansion of (/ +nan.0 (* (pow (sqrt 2.0) 2) (pow im 2))) in im 9.251 * [taylor]: Taking taylor expansion of +nan.0 in im 9.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.251 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (pow im 2)) in im 9.251 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 9.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.251 * [taylor]: Taking taylor expansion of 2.0 in im 9.251 * [backup-simplify]: Simplify 2.0 into 2.0 9.251 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.252 * [taylor]: Taking taylor expansion of im in im 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify 1 into 1 9.253 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 9.254 * [backup-simplify]: Simplify (* 1 1) into 1 9.255 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2) 9.257 * [backup-simplify]: Simplify (/ +nan.0 (pow (sqrt 2.0) 2)) into (/ +nan.0 (pow (sqrt 2.0) 2)) 9.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.259 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 9.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.261 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.263 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.264 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 2) 0) (* 0 1)) into 0 9.265 * [backup-simplify]: Simplify (- (/ 0 (pow (sqrt 2.0) 2)) (+ (* (/ +nan.0 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0 9.267 * [backup-simplify]: Simplify (- (/ 0 (pow (sqrt 2.0) 2)) (+ (* (/ +nan.0 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.269 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.270 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ +nan.0 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify (/ (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) (sqrt (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0))) 9.271 * [approximate]: Taking taylor expansion of (sqrt (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0))) in (re im) around 0 9.271 * [taylor]: Taking taylor expansion of (sqrt (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0))) in im 9.271 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0)) in im 9.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) in im 9.271 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.271 * [taylor]: Taking taylor expansion of re in im 9.271 * [backup-simplify]: Simplify re into re 9.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.272 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.272 * [taylor]: Taking taylor expansion of re in im 9.272 * [backup-simplify]: Simplify re into re 9.272 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.272 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.272 * [taylor]: Taking taylor expansion of im in im 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify (/ 1 1) into 1 9.273 * [backup-simplify]: Simplify (+ 0 1) into 1 9.273 * [backup-simplify]: Simplify (sqrt 1) into 1 9.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (+ 0 0) into 0 9.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.276 * [taylor]: Taking taylor expansion of im in im 9.276 * [backup-simplify]: Simplify 0 into 0 9.276 * [backup-simplify]: Simplify 1 into 1 9.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.276 * [taylor]: Taking taylor expansion of 2.0 in im 9.276 * [backup-simplify]: Simplify 2.0 into 2.0 9.276 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.278 * [backup-simplify]: Simplify (+ 0 1) into 1 9.278 * [backup-simplify]: Simplify (* 1 0) into 0 9.278 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 9.279 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 re) 0)) into 1 9.279 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.281 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0))) 9.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.284 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 1) (* (* 1/2 (/ 1 (pow re 2))) 0))) into (/ 1 re) 9.286 * [backup-simplify]: Simplify (- (/ (/ 1 re) (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into (/ 1 (* (sqrt 2.0) re)) 9.289 * [backup-simplify]: Simplify (/ (/ 1 (* (sqrt 2.0) re)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 re))) 9.289 * [taylor]: Taking taylor expansion of (sqrt (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0))) in re 9.289 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0)) in re 9.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) in re 9.289 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.289 * [taylor]: Taking taylor expansion of re in re 9.289 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify 1 into 1 9.290 * [backup-simplify]: Simplify (/ 1 1) into 1 9.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.290 * [taylor]: Taking taylor expansion of re in re 9.290 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify 1 into 1 9.290 * [backup-simplify]: Simplify (* 1 1) into 1 9.291 * [backup-simplify]: Simplify (/ 1 1) into 1 9.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.291 * [taylor]: Taking taylor expansion of im in re 9.291 * [backup-simplify]: Simplify im into im 9.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.291 * [backup-simplify]: Simplify (+ 1 0) into 1 9.292 * [backup-simplify]: Simplify (sqrt 1) into 1 9.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.294 * [backup-simplify]: Simplify (+ 0 0) into 0 9.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.294 * [taylor]: Taking taylor expansion of im in re 9.294 * [backup-simplify]: Simplify im into im 9.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.294 * [taylor]: Taking taylor expansion of 2.0 in re 9.294 * [backup-simplify]: Simplify 2.0 into 2.0 9.295 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.296 * [backup-simplify]: Simplify (+ 1 1) into 2 9.296 * [backup-simplify]: Simplify (* 2 im) into (* 2 im) 9.297 * [backup-simplify]: Simplify (/ (* 2 im) (sqrt 2.0)) into (* 2 (/ im (sqrt 2.0))) 9.297 * [backup-simplify]: Simplify (sqrt 0) into 0 9.298 * [backup-simplify]: Simplify (/ (* 2 (/ im (sqrt 2.0))) (* 2 (sqrt 0))) into (* +nan.0 (/ im (sqrt 2.0))) 9.298 * [taylor]: Taking taylor expansion of (sqrt (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0))) in re 9.298 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) (sqrt 2.0)) in re 9.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) im) in re 9.298 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.298 * [taylor]: Taking taylor expansion of re in re 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.299 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.299 * [taylor]: Taking taylor expansion of re in re 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (* 1 1) into 1 9.300 * [backup-simplify]: Simplify (/ 1 1) into 1 9.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.300 * [taylor]: Taking taylor expansion of im in re 9.300 * [backup-simplify]: Simplify im into im 9.300 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.301 * [backup-simplify]: Simplify (+ 1 0) into 1 9.301 * [backup-simplify]: Simplify (sqrt 1) into 1 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.303 * [backup-simplify]: Simplify (+ 0 0) into 0 9.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.304 * [taylor]: Taking taylor expansion of im in re 9.304 * [backup-simplify]: Simplify im into im 9.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.304 * [taylor]: Taking taylor expansion of 2.0 in re 9.304 * [backup-simplify]: Simplify 2.0 into 2.0 9.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.306 * [backup-simplify]: Simplify (+ 1 1) into 2 9.306 * [backup-simplify]: Simplify (* 2 im) into (* 2 im) 9.306 * [backup-simplify]: Simplify (/ (* 2 im) (sqrt 2.0)) into (* 2 (/ im (sqrt 2.0))) 9.307 * [backup-simplify]: Simplify (sqrt 0) into 0 9.307 * [backup-simplify]: Simplify (/ (* 2 (/ im (sqrt 2.0))) (* 2 (sqrt 0))) into (* +nan.0 (/ im (sqrt 2.0))) 9.308 * [taylor]: Taking taylor expansion of 0 in im 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ im (sqrt 2.0))) in im 9.308 * [taylor]: Taking taylor expansion of +nan.0 in im 9.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.308 * [taylor]: Taking taylor expansion of (/ im (sqrt 2.0)) in im 9.308 * [taylor]: Taking taylor expansion of im in im 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 1 into 1 9.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.308 * [taylor]: Taking taylor expansion of 2.0 in im 9.308 * [backup-simplify]: Simplify 2.0 into 2.0 9.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.310 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.310 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.311 * [backup-simplify]: Simplify (+ 0 0) into 0 9.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 im)) into 0 9.313 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (* 2 (/ im (sqrt 2.0))) (/ 0 (sqrt 2.0))))) into 0 9.314 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ im (sqrt 2.0))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow im 2) (pow (sqrt 2.0) 2))) 9.314 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow im 2) (pow (sqrt 2.0) 2))) in im 9.314 * [taylor]: Taking taylor expansion of +nan.0 in im 9.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.315 * [taylor]: Taking taylor expansion of (/ (pow im 2) (pow (sqrt 2.0) 2)) in im 9.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.315 * [taylor]: Taking taylor expansion of im in im 9.315 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify 1 into 1 9.315 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 9.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.315 * [taylor]: Taking taylor expansion of 2.0 in im 9.315 * [backup-simplify]: Simplify 2.0 into 2.0 9.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.316 * [backup-simplify]: Simplify (* 1 1) into 1 9.317 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 9.319 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2)) 9.321 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (sqrt 2.0))) into (/ +nan.0 (sqrt 2.0)) 9.322 * [backup-simplify]: Simplify (/ +nan.0 (sqrt 2.0)) into (/ +nan.0 (sqrt 2.0)) 9.322 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.326 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.326 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) im))) into (* 1/2 (/ 1 im)) 9.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.330 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 im)) (sqrt 2.0)) (+ (* (* 2 (/ im (sqrt 2.0))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/2 (/ 1 (* (sqrt 2.0) im))) 9.333 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (* (sqrt 2.0) im))) (+ (* 2 (* (* +nan.0 (/ im (sqrt 2.0))) (* +nan.0 (/ (pow im 2) (pow (sqrt 2.0) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (* (sqrt 2.0) im))) (* +nan.0 (/ (pow im 3) (pow (sqrt 2.0) 3))))) 9.333 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (* (sqrt 2.0) im))) (* +nan.0 (/ (pow im 3) (pow (sqrt 2.0) 3))))) in im 9.333 * [taylor]: Taking taylor expansion of +nan.0 in im 9.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.333 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (sqrt 2.0) im))) (* +nan.0 (/ (pow im 3) (pow (sqrt 2.0) 3)))) in im 9.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) im))) in im 9.333 * [taylor]: Taking taylor expansion of 1/2 in im 9.333 * [backup-simplify]: Simplify 1/2 into 1/2 9.333 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) im)) in im 9.333 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.333 * [taylor]: Taking taylor expansion of 2.0 in im 9.333 * [backup-simplify]: Simplify 2.0 into 2.0 9.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.334 * [taylor]: Taking taylor expansion of im in im 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.337 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.338 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) 9.338 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow im 3) (pow (sqrt 2.0) 3))) in im 9.338 * [taylor]: Taking taylor expansion of +nan.0 in im 9.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.338 * [taylor]: Taking taylor expansion of (/ (pow im 3) (pow (sqrt 2.0) 3)) in im 9.338 * [taylor]: Taking taylor expansion of (pow im 3) in im 9.338 * [taylor]: Taking taylor expansion of im in im 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 9.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.338 * [taylor]: Taking taylor expansion of 2.0 in im 9.338 * [backup-simplify]: Simplify 2.0 into 2.0 9.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.340 * [backup-simplify]: Simplify (* 1 1) into 1 9.340 * [backup-simplify]: Simplify (* 1 1) into 1 9.341 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 9.343 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 9.345 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 3)) into (/ 1 (pow (sqrt 2.0) 3)) 9.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.347 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 9.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0 9.350 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0)) 9.353 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 2.0)) 0) into (* 1/2 (/ 1 (sqrt 2.0))) 9.354 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* 1/2 (/ 1 (sqrt 2.0))))) into 0 9.354 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 9.357 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2.0)))) into 0 9.357 * [backup-simplify]: Simplify 0 into 0 9.357 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.367 * [backup-simplify]: Simplify (+ 0 0) into 0 9.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.368 * [backup-simplify]: Simplify (+ 0 0) into 0 9.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* (* 1/2 (/ 1 (pow im 2))) 0) (* 0 im)))) into 0 9.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.373 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (* 2 (/ im (sqrt 2.0))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (* 1/2 (/ 1 (* (sqrt 2.0) im))) (/ 0 (sqrt 2.0))))) into 0 9.377 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow im 2) (pow (sqrt 2.0) 2))) 2) (+ (* 2 (* (* +nan.0 (/ im (sqrt 2.0))) (* +nan.0 (- (* 1/2 (/ 1 (* (sqrt 2.0) im))) (* +nan.0 (/ (pow im 3) (pow (sqrt 2.0) 3))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (pow im 4) (pow (sqrt 2.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2)))))) 9.377 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow im 4) (pow (sqrt 2.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2)))))) in im 9.377 * [taylor]: Taking taylor expansion of +nan.0 in im 9.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.377 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow im 4) (pow (sqrt 2.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2))))) in im 9.377 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow im 4) (pow (sqrt 2.0) 4))) in im 9.377 * [taylor]: Taking taylor expansion of +nan.0 in im 9.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.377 * [taylor]: Taking taylor expansion of (/ (pow im 4) (pow (sqrt 2.0) 4)) in im 9.377 * [taylor]: Taking taylor expansion of (pow im 4) in im 9.377 * [taylor]: Taking taylor expansion of im in im 9.377 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 9.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.378 * [taylor]: Taking taylor expansion of 2.0 in im 9.378 * [backup-simplify]: Simplify 2.0 into 2.0 9.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.379 * [backup-simplify]: Simplify (* 1 1) into 1 9.380 * [backup-simplify]: Simplify (* 1 1) into 1 9.381 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 9.383 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 2) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 4) 9.385 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 4)) into (/ 1 (pow (sqrt 2.0) 4)) 9.385 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2)))) in im 9.385 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt 2.0) 2))) in im 9.385 * [taylor]: Taking taylor expansion of +nan.0 in im 9.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.385 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in im 9.385 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 9.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.385 * [taylor]: Taking taylor expansion of 2.0 in im 9.385 * [backup-simplify]: Simplify 2.0 into 2.0 9.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.387 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 9.389 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2)) 9.392 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (pow (sqrt 2.0) 2))) into (/ +nan.0 (pow (sqrt 2.0) 2)) 9.394 * [backup-simplify]: Simplify (- (/ +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2)))) 9.399 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2)))) 9.404 * [backup-simplify]: Simplify (* +nan.0 (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 2))))) into (/ +nan.0 (pow (sqrt 2.0) 2)) 9.406 * [backup-simplify]: Simplify (/ +nan.0 (pow (sqrt 2.0) 2)) into (/ +nan.0 (pow (sqrt 2.0) 2)) 9.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.409 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 9.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2.0))))) into 0 9.412 * [backup-simplify]: Simplify (+ 0 0) into 0 9.414 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* 1/2 (/ 1 (sqrt 2.0)))))) into 0 9.414 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (pow (sqrt 2.0) 2))) into (/ +nan.0 (pow (sqrt 2.0) 2)) 9.418 * [backup-simplify]: Simplify (/ +nan.0 (pow (sqrt 2.0) 2)) into (/ +nan.0 (pow (sqrt 2.0) 2)) 9.423 * [backup-simplify]: Simplify (+ (* (/ +nan.0 (pow (sqrt 2.0) 2)) (* (pow (/ 1 (- im)) 2) (/ 1 (- re)))) (+ (* (/ +nan.0 (pow (sqrt 2.0) 2)) (pow (* 1 (/ 1 (- re))) 3)) (* (/ +nan.0 (sqrt 2.0)) (* (/ 1 (- im)) 1)))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 2) (* re (pow im 2))))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) im))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 2) (pow re 3))))))))) 9.423 * * * [progress]: simplifying candidates 9.423 * * * * [progress]: [ 1 / 149 ] simplifiying candidate # 9.423 * * * * [progress]: [ 2 / 149 ] simplifiying candidate # 9.423 * * * * [progress]: [ 3 / 149 ] simplifiying candidate # 9.423 * * * * [progress]: [ 4 / 149 ] simplifiying candidate # 9.423 * * * * [progress]: [ 5 / 149 ] simplifiying candidate # 9.424 * * * * [progress]: [ 6 / 149 ] simplifiying candidate # 9.424 * * * * [progress]: [ 7 / 149 ] simplifiying candidate # 9.424 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 9.424 * * [simplify]: iters left: 6 (8 enodes) 9.428 * * [simplify]: iters left: 5 (26 enodes) 9.435 * * [simplify]: Extracting #0: cost 1 inf + 0 9.435 * * [simplify]: Extracting #1: cost 4 inf + 0 9.435 * * [simplify]: Extracting #2: cost 7 inf + 0 9.435 * * [simplify]: Extracting #3: cost 10 inf + 0 9.435 * * [simplify]: Extracting #4: cost 14 inf + 0 9.435 * * [simplify]: Extracting #5: cost 10 inf + 84 9.435 * * [simplify]: Extracting #6: cost 8 inf + 166 9.435 * * [simplify]: Extracting #7: cost 4 inf + 854 9.436 * * [simplify]: Extracting #8: cost 1 inf + 1540 9.437 * * [simplify]: Extracting #9: cost 0 inf + 1782 9.437 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 9.437 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.437 * * * * [progress]: [ 8 / 149 ] simplifiying candidate # 9.438 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 9.438 * * [simplify]: iters left: 6 (7 enodes) 9.441 * * [simplify]: iters left: 5 (22 enodes) 9.447 * * [simplify]: Extracting #0: cost 1 inf + 0 9.447 * * [simplify]: Extracting #1: cost 3 inf + 0 9.447 * * [simplify]: Extracting #2: cost 5 inf + 0 9.447 * * [simplify]: Extracting #3: cost 8 inf + 0 9.447 * * [simplify]: Extracting #4: cost 12 inf + 0 9.447 * * [simplify]: Extracting #5: cost 10 inf + 2 9.447 * * [simplify]: Extracting #6: cost 1 inf + 936 9.448 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.448 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.448 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.448 * * * * [progress]: [ 9 / 149 ] simplifiying candidate # 9.449 * [simplify]: Simplifying (sqrt 1) 9.449 * * [simplify]: iters left: 1 (2 enodes) 9.452 * * [simplify]: Extracting #0: cost 1 inf + 0 9.452 * * [simplify]: Extracting #1: cost 0 inf + 1 9.452 * [simplify]: Simplified to 1 9.452 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (* 1 (sqrt (+ (* re re) (* im im)))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.452 * * * * [progress]: [ 10 / 149 ] simplifiying candidate # 9.453 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 9.453 * * [simplify]: iters left: 6 (9 enodes) 9.458 * * [simplify]: iters left: 5 (45 enodes) 9.478 * * [simplify]: iters left: 4 (100 enodes) 9.527 * * [simplify]: iters left: 3 (201 enodes) 9.581 * * [simplify]: iters left: 2 (406 enodes) 9.705 * * [simplify]: Extracting #0: cost 1 inf + 0 9.705 * * [simplify]: Extracting #1: cost 3 inf + 0 9.705 * * [simplify]: Extracting #2: cost 6 inf + 0 9.705 * * [simplify]: Extracting #3: cost 62 inf + 0 9.706 * * [simplify]: Extracting #4: cost 166 inf + 460 9.707 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.711 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.716 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.721 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.727 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 9.727 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (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)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.727 * * * * [progress]: [ 11 / 149 ] simplifiying candidate # 9.727 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 9.727 * * [simplify]: iters left: 6 (8 enodes) 9.729 * * [simplify]: iters left: 5 (37 enodes) 9.735 * * [simplify]: iters left: 4 (67 enodes) 9.757 * * [simplify]: iters left: 3 (123 enodes) 9.788 * * [simplify]: iters left: 2 (278 enodes) 9.922 * * [simplify]: Extracting #0: cost 1 inf + 0 9.922 * * [simplify]: Extracting #1: cost 3 inf + 0 9.922 * * [simplify]: Extracting #2: cost 50 inf + 0 9.923 * * [simplify]: Extracting #3: cost 150 inf + 0 9.924 * * [simplify]: Extracting #4: cost 194 inf + 1180 9.926 * * [simplify]: Extracting #5: cost 123 inf + 12421 9.932 * * [simplify]: Extracting #6: cost 12 inf + 33804 9.939 * * [simplify]: Extracting #7: cost 0 inf + 36129 9.949 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 9.949 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.950 * * * * [progress]: [ 12 / 149 ] simplifiying candidate # 9.950 * [simplify]: Simplifying (+ (* re re) (* im im)) 9.950 * * [simplify]: iters left: 4 (5 enodes) 9.951 * * [simplify]: iters left: 3 (16 enodes) 9.953 * * [simplify]: Extracting #0: cost 1 inf + 0 9.953 * * [simplify]: Extracting #1: cost 4 inf + 0 9.953 * * [simplify]: Extracting #2: cost 8 inf + 0 9.953 * * [simplify]: Extracting #3: cost 4 inf + 84 9.953 * * [simplify]: Extracting #4: cost 0 inf + 410 9.953 * [simplify]: Simplified to (+ (* re re) (* im im)) 9.953 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (pow (+ (* re re) (* im im)) (/ 1 2)) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.953 * * * * [progress]: [ 13 / 149 ] simplifiying candidate # 9.954 * * * * [progress]: [ 14 / 149 ] simplifiying candidate # 9.954 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 9.954 * * [simplify]: iters left: 5 (6 enodes) 9.955 * * [simplify]: iters left: 4 (19 enodes) 9.957 * * [simplify]: Extracting #0: cost 1 inf + 0 9.957 * * [simplify]: Extracting #1: cost 3 inf + 0 9.957 * * [simplify]: Extracting #2: cost 6 inf + 0 9.957 * * [simplify]: Extracting #3: cost 10 inf + 0 9.957 * * [simplify]: Extracting #4: cost 6 inf + 84 9.957 * * [simplify]: Extracting #5: cost 0 inf + 734 9.958 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 9.958 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (fabs (sqrt (+ (* re re) (* im im)))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.958 * * * * [progress]: [ 15 / 149 ] simplifiying candidate # 9.958 * * * * [progress]: [ 16 / 149 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))> 9.958 * * * * [progress]: [ 17 / 149 ] simplifiying candidate # 9.958 * * * * [progress]: [ 18 / 149 ] simplifiying candidate # 9.958 * * * * [progress]: [ 19 / 149 ] simplifiying candidate # 9.958 * * * * [progress]: [ 20 / 149 ] simplifiying candidate # 9.958 * * * * [progress]: [ 21 / 149 ] simplifiying candidate # 9.958 * * * * [progress]: [ 22 / 149 ] simplifiying candidate # 9.958 * * * * [progress]: [ 23 / 149 ] simplifiying candidate # 9.958 * [simplify]: Simplifying (sqrt 2.0) 9.958 * * [simplify]: iters left: 1 (2 enodes) 9.960 * * [simplify]: Extracting #0: cost 1 inf + 0 9.960 * * [simplify]: Extracting #1: cost 3 inf + 0 9.960 * * [simplify]: Extracting #2: cost 2 inf + 1 9.960 * * [simplify]: Extracting #3: cost 0 inf + 83 9.960 * [simplify]: Simplified to (sqrt 2.0) 9.960 * [simplify]: Simplified (2 2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (sqrt 2.0) (sqrt (* im im)))))))) 9.960 * * * * [progress]: [ 24 / 149 ] simplifiying candidate # 9.960 * [simplify]: Simplifying (* 2.0 (* im im)) 9.960 * * [simplify]: iters left: 4 (4 enodes) 9.961 * * [simplify]: iters left: 3 (15 enodes) 9.964 * * [simplify]: iters left: 2 (19 enodes) 9.967 * * [simplify]: Extracting #0: cost 1 inf + 0 9.967 * * [simplify]: Extracting #1: cost 6 inf + 0 9.967 * * [simplify]: Extracting #2: cost 5 inf + 43 9.967 * * [simplify]: Extracting #3: cost 0 inf + 332 9.967 * [simplify]: Simplified to (* 2.0 (* im im)) 9.967 * [simplify]: Simplified (2 2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (pow (* 2.0 (* im im)) (/ 1 2))))))) 9.967 * * * * [progress]: [ 25 / 149 ] simplifiying candidate # 9.967 * [simplify]: Simplifying (* 2.0 (* im im)) 9.968 * * [simplify]: iters left: 4 (4 enodes) 9.969 * * [simplify]: iters left: 3 (15 enodes) 9.971 * * [simplify]: iters left: 2 (19 enodes) 9.974 * * [simplify]: Extracting #0: cost 1 inf + 0 9.974 * * [simplify]: Extracting #1: cost 6 inf + 0 9.974 * * [simplify]: Extracting #2: cost 5 inf + 43 9.974 * * [simplify]: Extracting #3: cost 0 inf + 332 9.974 * [simplify]: Simplified to (* 2.0 (* im im)) 9.975 * [simplify]: Simplified (2 2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (pow (* 2.0 (* im im)) (/ 1 2))))))) 9.975 * * * * [progress]: [ 26 / 149 ] simplifiying candidate # 9.975 * [simplify]: Simplifying (* 2.0 (* im im)) 9.975 * * [simplify]: iters left: 4 (4 enodes) 9.977 * * [simplify]: iters left: 3 (15 enodes) 9.982 * * [simplify]: iters left: 2 (19 enodes) 9.988 * * [simplify]: Extracting #0: cost 1 inf + 0 9.988 * * [simplify]: Extracting #1: cost 6 inf + 0 9.988 * * [simplify]: Extracting #2: cost 5 inf + 43 9.988 * * [simplify]: Extracting #3: cost 0 inf + 332 9.988 * [simplify]: Simplified to (* 2.0 (* im im)) 9.988 * [simplify]: Simplified (2 2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (pow (* 2.0 (* im im)) (/ 1 2))))))) 9.989 * * * * [progress]: [ 27 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 28 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 29 / 149 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))))))))> 9.989 * * * * [progress]: [ 30 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 31 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 32 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 33 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 34 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 35 / 149 ] simplifiying candidate # 9.989 * * * * [progress]: [ 36 / 149 ] simplifiying candidate # 9.990 * [simplify]: Simplifying (sqrt 2.0) 9.990 * * [simplify]: iters left: 1 (2 enodes) 9.991 * * [simplify]: Extracting #0: cost 1 inf + 0 9.991 * * [simplify]: Extracting #1: cost 3 inf + 0 9.991 * * [simplify]: Extracting #2: cost 2 inf + 1 9.991 * * [simplify]: Extracting #3: cost 0 inf + 83 9.992 * [simplify]: Simplified to (sqrt 2.0) 9.992 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* (sqrt 2.0) (sqrt (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 9.992 * * * * [progress]: [ 37 / 149 ] simplifiying candidate # 9.992 * [simplify]: Simplifying (* 2.0 (* im im)) 9.992 * * [simplify]: iters left: 4 (4 enodes) 9.994 * * [simplify]: iters left: 3 (15 enodes) 9.999 * * [simplify]: iters left: 2 (19 enodes) 10.005 * * [simplify]: Extracting #0: cost 1 inf + 0 10.005 * * [simplify]: Extracting #1: cost 6 inf + 0 10.005 * * [simplify]: Extracting #2: cost 5 inf + 43 10.005 * * [simplify]: Extracting #3: cost 0 inf + 332 10.006 * [simplify]: Simplified to (* 2.0 (* im im)) 10.006 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (pow (* 2.0 (* im im)) (/ 1 2))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 10.006 * * * * [progress]: [ 38 / 149 ] simplifiying candidate # 10.006 * [simplify]: Simplifying (* 2.0 (* im im)) 10.006 * * [simplify]: iters left: 4 (4 enodes) 10.009 * * [simplify]: iters left: 3 (15 enodes) 10.014 * * [simplify]: iters left: 2 (19 enodes) 10.019 * * [simplify]: Extracting #0: cost 1 inf + 0 10.019 * * [simplify]: Extracting #1: cost 6 inf + 0 10.019 * * [simplify]: Extracting #2: cost 5 inf + 43 10.020 * * [simplify]: Extracting #3: cost 0 inf + 332 10.020 * [simplify]: Simplified to (* 2.0 (* im im)) 10.020 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (pow (* 2.0 (* im im)) (/ 1 2))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 10.020 * * * * [progress]: [ 39 / 149 ] simplifiying candidate # 10.021 * [simplify]: Simplifying (* 2.0 (* im im)) 10.021 * * [simplify]: iters left: 4 (4 enodes) 10.024 * * [simplify]: iters left: 3 (15 enodes) 10.028 * * [simplify]: iters left: 2 (19 enodes) 10.034 * * [simplify]: Extracting #0: cost 1 inf + 0 10.034 * * [simplify]: Extracting #1: cost 6 inf + 0 10.034 * * [simplify]: Extracting #2: cost 5 inf + 43 10.034 * * [simplify]: Extracting #3: cost 0 inf + 332 10.034 * [simplify]: Simplified to (* 2.0 (* im im)) 10.034 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (pow (* 2.0 (* im im)) (/ 1 2))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 10.035 * * * * [progress]: [ 40 / 149 ] simplifiying candidate # 10.035 * * * * [progress]: [ 41 / 149 ] simplifiying candidate # 10.035 * * * * [progress]: [ 42 / 149 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))> 10.035 * * * * [progress]: [ 43 / 149 ] simplifiying candidate # 10.035 * * * * [progress]: [ 44 / 149 ] simplifiying candidate # 10.035 * [simplify]: Simplifying (- (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (sqrt (* 2.0 (* im im)))))) 10.036 * * [simplify]: iters left: 6 (15 enodes) 10.041 * * [simplify]: iters left: 5 (53 enodes) 10.048 * * [simplify]: iters left: 4 (63 enodes) 10.058 * * [simplify]: Extracting #0: cost 1 inf + 0 10.058 * * [simplify]: Extracting #1: cost 5 inf + 0 10.058 * * [simplify]: Extracting #2: cost 10 inf + 0 10.058 * * [simplify]: Extracting #3: cost 14 inf + 0 10.058 * * [simplify]: Extracting #4: cost 20 inf + 0 10.058 * * [simplify]: Extracting #5: cost 27 inf + 1 10.058 * * [simplify]: Extracting #6: cost 26 inf + 126 10.058 * * [simplify]: Extracting #7: cost 17 inf + 1284 10.059 * * [simplify]: Extracting #8: cost 9 inf + 2519 10.059 * * [simplify]: Extracting #9: cost 3 inf + 3841 10.060 * * [simplify]: Extracting #10: cost 0 inf + 5239 10.061 * [simplify]: Simplified to (- (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (sqrt (* (* im im) 2.0))))) 10.061 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (exp (- (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (sqrt (* (* im im) 2.0))))))))) 10.061 * * * * [progress]: [ 45 / 149 ] simplifiying candidate # 10.061 * * * * [progress]: [ 46 / 149 ] simplifiying candidate # 10.061 * * * * [progress]: [ 47 / 149 ] simplifiying candidate # 10.062 * [simplify]: Simplifying (/ (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (* 2.0 (* im im)))))) 10.062 * * [simplify]: iters left: 6 (17 enodes) 10.066 * * [simplify]: iters left: 5 (62 enodes) 10.077 * * [simplify]: iters left: 4 (123 enodes) 10.121 * * [simplify]: iters left: 3 (242 enodes) 10.184 * * [simplify]: iters left: 2 (471 enodes) 10.336 * * [simplify]: Extracting #0: cost 1 inf + 0 10.336 * * [simplify]: Extracting #1: cost 61 inf + 0 10.336 * * [simplify]: Extracting #2: cost 180 inf + 1 10.337 * * [simplify]: Extracting #3: cost 215 inf + 4 10.338 * * [simplify]: Extracting #4: cost 209 inf + 458 10.339 * * [simplify]: Extracting #5: cost 185 inf + 5640 10.345 * * [simplify]: Extracting #6: cost 125 inf + 29403 10.369 * * [simplify]: Extracting #7: cost 11 inf + 93832 10.408 * * [simplify]: Extracting #8: cost 0 inf + 100444 10.450 * [simplify]: Simplified to (/ (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.450 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (/ (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.450 * * * * [progress]: [ 48 / 149 ] simplifiying candidate # 10.451 * * * * [progress]: [ 49 / 149 ] simplifiying candidate # 10.451 * * * * [progress]: [ 50 / 149 ] simplifiying candidate # 10.451 * [simplify]: Simplifying (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (* 2.0 (* im im)))) 10.451 * * [simplify]: iters left: 6 (11 enodes) 10.457 * * [simplify]: iters left: 5 (42 enodes) 10.469 * * [simplify]: iters left: 4 (55 enodes) 10.484 * * [simplify]: iters left: 3 (59 enodes) 10.498 * * [simplify]: Extracting #0: cost 1 inf + 0 10.498 * * [simplify]: Extracting #1: cost 7 inf + 0 10.498 * * [simplify]: Extracting #2: cost 16 inf + 0 10.498 * * [simplify]: Extracting #3: cost 23 inf + 1 10.498 * * [simplify]: Extracting #4: cost 20 inf + 371 10.499 * * [simplify]: Extracting #5: cost 11 inf + 1432 10.499 * * [simplify]: Extracting #6: cost 7 inf + 1879 10.499 * * [simplify]: Extracting #7: cost 2 inf + 3051 10.500 * * [simplify]: Extracting #8: cost 0 inf + 3657 10.501 * [simplify]: Simplified to (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (* (* im im) 2.0))) 10.501 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (* (* im im) 2.0))))))) 10.501 * * * * [progress]: [ 51 / 149 ] simplifiying candidate # 10.501 * * * * [progress]: [ 52 / 149 ] simplifiying candidate # 10.501 * * * * [progress]: [ 53 / 149 ] simplifiying candidate # 10.501 * [simplify]: Simplifying (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 10.501 * * [simplify]: iters left: 6 (17 enodes) 10.505 * * [simplify]: iters left: 5 (63 enodes) 10.515 * * [simplify]: iters left: 4 (85 enodes) 10.526 * * [simplify]: iters left: 3 (92 enodes) 10.541 * * [simplify]: iters left: 2 (95 enodes) 10.565 * * [simplify]: Extracting #0: cost 1 inf + 0 10.565 * * [simplify]: Extracting #1: cost 11 inf + 0 10.566 * * [simplify]: Extracting #2: cost 22 inf + 0 10.566 * * [simplify]: Extracting #3: cost 26 inf + 0 10.566 * * [simplify]: Extracting #4: cost 32 inf + 0 10.566 * * [simplify]: Extracting #5: cost 39 inf + 1 10.566 * * [simplify]: Extracting #6: cost 34 inf + 574 10.567 * * [simplify]: Extracting #7: cost 26 inf + 1790 10.568 * * [simplify]: Extracting #8: cost 21 inf + 2559 10.569 * * [simplify]: Extracting #9: cost 12 inf + 5820 10.573 * * [simplify]: Extracting #10: cost 0 inf + 12053 10.577 * * [simplify]: Extracting #11: cost 0 inf + 12013 10.581 * [simplify]: Simplified to (* (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 10.581 * [simplify]: Simplified (2 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 (* 2.0 (* im im)))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 10.582 * [simplify]: Simplifying (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 10.582 * * [simplify]: iters left: 6 (15 enodes) 10.586 * * [simplify]: iters left: 5 (51 enodes) 10.593 * * [simplify]: iters left: 4 (58 enodes) 10.601 * * [simplify]: Extracting #0: cost 1 inf + 0 10.601 * * [simplify]: Extracting #1: cost 4 inf + 0 10.601 * * [simplify]: Extracting #2: cost 8 inf + 0 10.601 * * [simplify]: Extracting #3: cost 12 inf + 0 10.601 * * [simplify]: Extracting #4: cost 18 inf + 0 10.601 * * [simplify]: Extracting #5: cost 25 inf + 1 10.601 * * [simplify]: Extracting #6: cost 24 inf + 126 10.601 * * [simplify]: Extracting #7: cost 15 inf + 1224 10.601 * * [simplify]: Extracting #8: cost 9 inf + 1955 10.602 * * [simplify]: Extracting #9: cost 2 inf + 3649 10.602 * * [simplify]: Extracting #10: cost 0 inf + 4775 10.603 * [simplify]: Simplified to (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) 10.603 * [simplify]: Simplified (2 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 (* 2.0 (* im im)))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))))))) 10.603 * * * * [progress]: [ 54 / 149 ] simplifiying candidate # 10.604 * [simplify]: Simplifying (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 10.604 * * [simplify]: iters left: 6 (17 enodes) 10.608 * * [simplify]: iters left: 5 (60 enodes) 10.617 * * [simplify]: iters left: 4 (71 enodes) 10.637 * * [simplify]: iters left: 3 (74 enodes) 10.651 * * [simplify]: Extracting #0: cost 1 inf + 0 10.651 * * [simplify]: Extracting #1: cost 7 inf + 0 10.651 * * [simplify]: Extracting #2: cost 15 inf + 0 10.651 * * [simplify]: Extracting #3: cost 20 inf + 0 10.651 * * [simplify]: Extracting #4: cost 26 inf + 0 10.651 * * [simplify]: Extracting #5: cost 32 inf + 42 10.652 * * [simplify]: Extracting #6: cost 27 inf + 656 10.652 * * [simplify]: Extracting #7: cost 20 inf + 1830 10.652 * * [simplify]: Extracting #8: cost 16 inf + 2397 10.653 * * [simplify]: Extracting #9: cost 6 inf + 5459 10.654 * * [simplify]: Extracting #10: cost 1 inf + 7992 10.655 * * [simplify]: Extracting #11: cost 0 inf + 8635 10.657 * [simplify]: Simplified to (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (fabs (cbrt (sqrt (* im (* im 2.0)))))) 10.657 * [simplify]: Simplified (2 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)))) (fabs (cbrt (sqrt (* im (* im 2.0)))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 10.657 * [simplify]: Simplifying (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 10.657 * * [simplify]: iters left: 6 (15 enodes) 10.661 * * [simplify]: iters left: 5 (51 enodes) 10.668 * * [simplify]: iters left: 4 (58 enodes) 10.676 * * [simplify]: Extracting #0: cost 1 inf + 0 10.676 * * [simplify]: Extracting #1: cost 4 inf + 0 10.676 * * [simplify]: Extracting #2: cost 8 inf + 0 10.676 * * [simplify]: Extracting #3: cost 12 inf + 0 10.676 * * [simplify]: Extracting #4: cost 18 inf + 0 10.676 * * [simplify]: Extracting #5: cost 25 inf + 1 10.677 * * [simplify]: Extracting #6: cost 24 inf + 126 10.677 * * [simplify]: Extracting #7: cost 15 inf + 1304 10.678 * * [simplify]: Extracting #8: cost 9 inf + 2035 10.679 * * [simplify]: Extracting #9: cost 2 inf + 3729 10.680 * * [simplify]: Extracting #10: cost 0 inf + 4855 10.681 * [simplify]: Simplified to (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))) 10.681 * [simplify]: Simplified (2 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 (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))))))) 10.682 * * * * [progress]: [ 55 / 149 ] simplifiying candidate # 10.682 * [simplify]: Simplifying (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) 10.682 * * [simplify]: iters left: 6 (14 enodes) 10.689 * * [simplify]: iters left: 5 (47 enodes) 10.703 * * [simplify]: iters left: 4 (54 enodes) 10.718 * * [simplify]: iters left: 3 (57 enodes) 10.734 * * [simplify]: Extracting #0: cost 1 inf + 0 10.734 * * [simplify]: Extracting #1: cost 7 inf + 0 10.734 * * [simplify]: Extracting #2: cost 14 inf + 0 10.734 * * [simplify]: Extracting #3: cost 18 inf + 0 10.735 * * [simplify]: Extracting #4: cost 20 inf + 42 10.735 * * [simplify]: Extracting #5: cost 19 inf + 246 10.735 * * [simplify]: Extracting #6: cost 21 inf + 287 10.735 * * [simplify]: Extracting #7: cost 22 inf + 369 10.736 * * [simplify]: Extracting #8: cost 15 inf + 899 10.737 * * [simplify]: Extracting #9: cost 6 inf + 3639 10.738 * * [simplify]: Extracting #10: cost 1 inf + 5612 10.740 * * [simplify]: Extracting #11: cost 0 inf + 6055 10.742 * [simplify]: Simplified to (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) 10.742 * [simplify]: Simplified (2 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))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))))))) 10.742 * [simplify]: Simplifying (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))) 10.743 * * [simplify]: iters left: 6 (12 enodes) 10.748 * * [simplify]: iters left: 5 (40 enodes) 10.759 * * [simplify]: iters left: 4 (43 enodes) 10.772 * * [simplify]: Extracting #0: cost 1 inf + 0 10.772 * * [simplify]: Extracting #1: cost 4 inf + 0 10.772 * * [simplify]: Extracting #2: cost 8 inf + 0 10.772 * * [simplify]: Extracting #3: cost 13 inf + 0 10.773 * * [simplify]: Extracting #4: cost 15 inf + 83 10.773 * * [simplify]: Extracting #5: cost 13 inf + 328 10.773 * * [simplify]: Extracting #6: cost 14 inf + 369 10.773 * * [simplify]: Extracting #7: cost 13 inf + 451 10.774 * * [simplify]: Extracting #8: cost 9 inf + 898 10.774 * * [simplify]: Extracting #9: cost 3 inf + 2350 10.775 * * [simplify]: Extracting #10: cost 0 inf + 3476 10.776 * [simplify]: Simplified to (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))) 10.776 * [simplify]: Simplified (2 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))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))))))) 10.777 * * * * [progress]: [ 56 / 149 ] simplifiying candidate # 10.777 * [simplify]: Simplifying (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 10.777 * * [simplify]: iters left: 6 (16 enodes) 10.782 * * [simplify]: iters left: 5 (56 enodes) 10.789 * * [simplify]: iters left: 4 (67 enodes) 10.799 * * [simplify]: iters left: 3 (70 enodes) 10.809 * * [simplify]: Extracting #0: cost 1 inf + 0 10.809 * * [simplify]: Extracting #1: cost 7 inf + 0 10.809 * * [simplify]: Extracting #2: cost 14 inf + 0 10.809 * * [simplify]: Extracting #3: cost 18 inf + 0 10.809 * * [simplify]: Extracting #4: cost 24 inf + 0 10.809 * * [simplify]: Extracting #5: cost 30 inf + 42 10.809 * * [simplify]: Extracting #6: cost 24 inf + 738 10.810 * * [simplify]: Extracting #7: cost 19 inf + 1428 10.811 * * [simplify]: Extracting #8: cost 15 inf + 1875 10.812 * * [simplify]: Extracting #9: cost 6 inf + 4454 10.814 * * [simplify]: Extracting #10: cost 0 inf + 7511 10.816 * [simplify]: Simplified to (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im))))))) 10.816 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im))))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 10.816 * [simplify]: Simplifying (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 10.816 * * [simplify]: iters left: 6 (15 enodes) 10.819 * * [simplify]: iters left: 5 (51 enodes) 10.826 * * [simplify]: iters left: 4 (58 enodes) 10.834 * * [simplify]: Extracting #0: cost 1 inf + 0 10.834 * * [simplify]: Extracting #1: cost 4 inf + 0 10.834 * * [simplify]: Extracting #2: cost 8 inf + 0 10.834 * * [simplify]: Extracting #3: cost 12 inf + 0 10.834 * * [simplify]: Extracting #4: cost 18 inf + 0 10.834 * * [simplify]: Extracting #5: cost 25 inf + 1 10.835 * * [simplify]: Extracting #6: cost 24 inf + 126 10.835 * * [simplify]: Extracting #7: cost 15 inf + 1184 10.835 * * [simplify]: Extracting #8: cost 9 inf + 1875 10.836 * * [simplify]: Extracting #9: cost 2 inf + 3569 10.836 * * [simplify]: Extracting #10: cost 0 inf + 4615 10.837 * [simplify]: Simplified to (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 10.837 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im))))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 10.837 * * * * [progress]: [ 57 / 149 ] simplifiying candidate # 10.837 * [simplify]: Simplifying (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 1)) 10.837 * * [simplify]: iters left: 6 (13 enodes) 10.841 * * [simplify]: iters left: 5 (46 enodes) 10.852 * * [simplify]: iters left: 4 (55 enodes) 10.867 * * [simplify]: iters left: 3 (59 enodes) 10.874 * * [simplify]: iters left: 2 (60 enodes) 10.882 * * [simplify]: Extracting #0: cost 1 inf + 0 10.882 * * [simplify]: Extracting #1: cost 5 inf + 0 10.882 * * [simplify]: Extracting #2: cost 7 inf + 1 10.882 * * [simplify]: Extracting #3: cost 9 inf + 1 10.882 * * [simplify]: Extracting #4: cost 13 inf + 1 10.882 * * [simplify]: Extracting #5: cost 15 inf + 2 10.882 * * [simplify]: Extracting #6: cost 16 inf + 84 10.882 * * [simplify]: Extracting #7: cost 18 inf + 125 10.882 * * [simplify]: Extracting #8: cost 15 inf + 208 10.882 * * [simplify]: Extracting #9: cost 11 inf + 655 10.882 * * [simplify]: Extracting #10: cost 6 inf + 1705 10.883 * * [simplify]: Extracting #11: cost 1 inf + 3436 10.884 * * [simplify]: Extracting #12: cost 0 inf + 3799 10.884 * [simplify]: Simplified to (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.884 * [simplify]: Simplified (2 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)))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 10.885 * [simplify]: Simplifying (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 10.885 * * [simplify]: iters left: 6 (14 enodes) 10.888 * * [simplify]: iters left: 5 (48 enodes) 10.895 * * [simplify]: iters left: 4 (55 enodes) 10.902 * * [simplify]: Extracting #0: cost 1 inf + 0 10.902 * * [simplify]: Extracting #1: cost 4 inf + 0 10.902 * * [simplify]: Extracting #2: cost 8 inf + 0 10.902 * * [simplify]: Extracting #3: cost 12 inf + 0 10.903 * * [simplify]: Extracting #4: cost 21 inf + 0 10.903 * * [simplify]: Extracting #5: cost 22 inf + 44 10.903 * * [simplify]: Extracting #6: cost 15 inf + 820 10.903 * * [simplify]: Extracting #7: cost 13 inf + 1024 10.904 * * [simplify]: Extracting #8: cost 9 inf + 1471 10.905 * * [simplify]: Extracting #9: cost 2 inf + 3406 10.906 * * [simplify]: Extracting #10: cost 0 inf + 4131 10.907 * [simplify]: Simplified to (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 10.907 * [simplify]: Simplified (2 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)))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 10.908 * * * * [progress]: [ 58 / 149 ] simplifiying candidate # 10.908 * [simplify]: Simplifying (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 10.908 * * [simplify]: iters left: 6 (16 enodes) 10.915 * * [simplify]: iters left: 5 (56 enodes) 10.931 * * [simplify]: iters left: 4 (67 enodes) 10.949 * * [simplify]: iters left: 3 (70 enodes) 10.968 * * [simplify]: Extracting #0: cost 1 inf + 0 10.968 * * [simplify]: Extracting #1: cost 7 inf + 0 10.968 * * [simplify]: Extracting #2: cost 14 inf + 0 10.968 * * [simplify]: Extracting #3: cost 18 inf + 0 10.968 * * [simplify]: Extracting #4: cost 24 inf + 0 10.968 * * [simplify]: Extracting #5: cost 30 inf + 42 10.968 * * [simplify]: Extracting #6: cost 24 inf + 738 10.969 * * [simplify]: Extracting #7: cost 19 inf + 1428 10.970 * * [simplify]: Extracting #8: cost 15 inf + 1875 10.971 * * [simplify]: Extracting #9: cost 6 inf + 4454 10.973 * * [simplify]: Extracting #10: cost 0 inf + 7511 10.977 * [simplify]: Simplified to (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im))))))) 10.977 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im))))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 10.978 * [simplify]: Simplifying (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 10.978 * * [simplify]: iters left: 6 (15 enodes) 10.985 * * [simplify]: iters left: 5 (51 enodes) 11.000 * * [simplify]: iters left: 4 (58 enodes) 11.016 * * [simplify]: Extracting #0: cost 1 inf + 0 11.016 * * [simplify]: Extracting #1: cost 4 inf + 0 11.016 * * [simplify]: Extracting #2: cost 8 inf + 0 11.016 * * [simplify]: Extracting #3: cost 12 inf + 0 11.016 * * [simplify]: Extracting #4: cost 18 inf + 0 11.016 * * [simplify]: Extracting #5: cost 25 inf + 1 11.016 * * [simplify]: Extracting #6: cost 24 inf + 126 11.017 * * [simplify]: Extracting #7: cost 15 inf + 1184 11.017 * * [simplify]: Extracting #8: cost 9 inf + 1875 11.018 * * [simplify]: Extracting #9: cost 2 inf + 3569 11.019 * * [simplify]: Extracting #10: cost 0 inf + 4615 11.021 * [simplify]: Simplified to (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 11.021 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im))))))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 11.021 * * * * [progress]: [ 59 / 149 ] simplifiying candidate # 11.021 * [simplify]: Simplifying (/ (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 1) 11.022 * * [simplify]: iters left: 6 (12 enodes) 11.027 * * [simplify]: iters left: 5 (41 enodes) 11.041 * * [simplify]: iters left: 4 (54 enodes) 11.056 * * [simplify]: iters left: 3 (55 enodes) 11.071 * * [simplify]: Extracting #0: cost 1 inf + 0 11.071 * * [simplify]: Extracting #1: cost 5 inf + 0 11.071 * * [simplify]: Extracting #2: cost 7 inf + 1 11.071 * * [simplify]: Extracting #3: cost 9 inf + 1 11.071 * * [simplify]: Extracting #4: cost 13 inf + 1 11.071 * * [simplify]: Extracting #5: cost 14 inf + 43 11.071 * * [simplify]: Extracting #6: cost 16 inf + 84 11.072 * * [simplify]: Extracting #7: cost 18 inf + 125 11.072 * * [simplify]: Extracting #8: cost 14 inf + 249 11.072 * * [simplify]: Extracting #9: cost 10 inf + 817 11.073 * * [simplify]: Extracting #10: cost 6 inf + 1705 11.074 * * [simplify]: Extracting #11: cost 1 inf + 3437 11.075 * * [simplify]: Extracting #12: cost 0 inf + 3799 11.076 * [simplify]: Simplified to (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 11.076 * [simplify]: Simplified (2 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)))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 11.077 * [simplify]: Simplifying (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 11.077 * * [simplify]: iters left: 6 (14 enodes) 11.081 * * [simplify]: iters left: 5 (48 enodes) 11.088 * * [simplify]: iters left: 4 (55 enodes) 11.096 * * [simplify]: Extracting #0: cost 1 inf + 0 11.096 * * [simplify]: Extracting #1: cost 4 inf + 0 11.096 * * [simplify]: Extracting #2: cost 8 inf + 0 11.096 * * [simplify]: Extracting #3: cost 12 inf + 0 11.096 * * [simplify]: Extracting #4: cost 21 inf + 0 11.096 * * [simplify]: Extracting #5: cost 22 inf + 44 11.096 * * [simplify]: Extracting #6: cost 15 inf + 820 11.096 * * [simplify]: Extracting #7: cost 13 inf + 1024 11.097 * * [simplify]: Extracting #8: cost 9 inf + 1471 11.097 * * [simplify]: Extracting #9: cost 2 inf + 3406 11.098 * * [simplify]: Extracting #10: cost 0 inf + 4131 11.099 * [simplify]: Simplified to (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 11.099 * [simplify]: Simplified (2 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)))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 11.099 * * * * [progress]: [ 60 / 149 ] simplifiying candidate # 11.099 * [simplify]: Simplifying (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 11.099 * * [simplify]: iters left: 6 (17 enodes) 11.103 * * [simplify]: iters left: 5 (60 enodes) 11.115 * * [simplify]: iters left: 4 (69 enodes) 11.134 * * [simplify]: Extracting #0: cost 1 inf + 0 11.134 * * [simplify]: Extracting #1: cost 6 inf + 0 11.134 * * [simplify]: Extracting #2: cost 13 inf + 0 11.134 * * [simplify]: Extracting #3: cost 18 inf + 0 11.134 * * [simplify]: Extracting #4: cost 24 inf + 0 11.134 * * [simplify]: Extracting #5: cost 31 inf + 1 11.135 * * [simplify]: Extracting #6: cost 26 inf + 575 11.135 * * [simplify]: Extracting #7: cost 18 inf + 1830 11.136 * * [simplify]: Extracting #8: cost 14 inf + 2397 11.137 * * [simplify]: Extracting #9: cost 6 inf + 4293 11.139 * * [simplify]: Extracting #10: cost 2 inf + 6183 11.140 * * [simplify]: Extracting #11: cost 0 inf + 7429 11.141 * [simplify]: Simplified to (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* im (* im 2.0))))) (cbrt (sqrt (sqrt (* im (* im 2.0))))))) 11.141 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* im (* im 2.0))))) (cbrt (sqrt (sqrt (* im (* im 2.0))))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 11.141 * [simplify]: Simplifying (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.141 * * [simplify]: iters left: 6 (15 enodes) 11.145 * * [simplify]: iters left: 5 (51 enodes) 11.153 * * [simplify]: iters left: 4 (58 enodes) 11.161 * * [simplify]: Extracting #0: cost 1 inf + 0 11.161 * * [simplify]: Extracting #1: cost 4 inf + 0 11.161 * * [simplify]: Extracting #2: cost 8 inf + 0 11.161 * * [simplify]: Extracting #3: cost 12 inf + 0 11.161 * * [simplify]: Extracting #4: cost 18 inf + 0 11.161 * * [simplify]: Extracting #5: cost 25 inf + 1 11.161 * * [simplify]: Extracting #6: cost 24 inf + 126 11.161 * * [simplify]: Extracting #7: cost 15 inf + 1224 11.161 * * [simplify]: Extracting #8: cost 9 inf + 1955 11.162 * * [simplify]: Extracting #9: cost 2 inf + 3729 11.162 * * [simplify]: Extracting #10: cost 0 inf + 4855 11.163 * [simplify]: Simplified to (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) 11.163 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))))))) 11.163 * * * * [progress]: [ 61 / 149 ] simplifiying candidate # 11.164 * [simplify]: Simplifying (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 11.164 * * [simplify]: iters left: 6 (17 enodes) 11.168 * * [simplify]: iters left: 5 (59 enodes) 11.182 * * [simplify]: iters left: 4 (66 enodes) 11.200 * * [simplify]: Extracting #0: cost 1 inf + 0 11.200 * * [simplify]: Extracting #1: cost 4 inf + 0 11.200 * * [simplify]: Extracting #2: cost 10 inf + 0 11.200 * * [simplify]: Extracting #3: cost 16 inf + 0 11.200 * * [simplify]: Extracting #4: cost 22 inf + 0 11.200 * * [simplify]: Extracting #5: cost 28 inf + 42 11.200 * * [simplify]: Extracting #6: cost 25 inf + 532 11.201 * * [simplify]: Extracting #7: cost 16 inf + 1830 11.202 * * [simplify]: Extracting #8: cost 10 inf + 2681 11.203 * * [simplify]: Extracting #9: cost 2 inf + 4937 11.205 * * [simplify]: Extracting #10: cost 1 inf + 5500 11.206 * * [simplify]: Extracting #11: cost 0 inf + 6063 11.208 * [simplify]: Simplified to (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs (cbrt (sqrt (* 2.0 (* im im)))))) 11.208 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs (cbrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 11.209 * [simplify]: Simplifying (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 11.209 * * [simplify]: iters left: 6 (15 enodes) 11.216 * * [simplify]: iters left: 5 (51 enodes) 11.232 * * [simplify]: iters left: 4 (58 enodes) 11.247 * * [simplify]: Extracting #0: cost 1 inf + 0 11.247 * * [simplify]: Extracting #1: cost 4 inf + 0 11.247 * * [simplify]: Extracting #2: cost 8 inf + 0 11.248 * * [simplify]: Extracting #3: cost 12 inf + 0 11.248 * * [simplify]: Extracting #4: cost 18 inf + 0 11.248 * * [simplify]: Extracting #5: cost 25 inf + 1 11.248 * * [simplify]: Extracting #6: cost 24 inf + 126 11.248 * * [simplify]: Extracting #7: cost 15 inf + 1304 11.249 * * [simplify]: Extracting #8: cost 9 inf + 2035 11.250 * * [simplify]: Extracting #9: cost 2 inf + 3809 11.251 * * [simplify]: Extracting #10: cost 0 inf + 4935 11.253 * [simplify]: Simplified to (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))) 11.253 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs (cbrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))))))) 11.253 * * * * [progress]: [ 62 / 149 ] simplifiying candidate # 11.253 * [simplify]: Simplifying (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) 11.254 * * [simplify]: iters left: 6 (14 enodes) 11.260 * * [simplify]: iters left: 5 (46 enodes) 11.273 * * [simplify]: iters left: 4 (49 enodes) 11.287 * * [simplify]: Extracting #0: cost 1 inf + 0 11.287 * * [simplify]: Extracting #1: cost 4 inf + 0 11.287 * * [simplify]: Extracting #2: cost 9 inf + 0 11.287 * * [simplify]: Extracting #3: cost 14 inf + 0 11.287 * * [simplify]: Extracting #4: cost 15 inf + 83 11.287 * * [simplify]: Extracting #5: cost 16 inf + 165 11.287 * * [simplify]: Extracting #6: cost 17 inf + 287 11.287 * * [simplify]: Extracting #7: cost 18 inf + 369 11.288 * * [simplify]: Extracting #8: cost 13 inf + 736 11.289 * * [simplify]: Extracting #9: cost 3 inf + 3116 11.290 * * [simplify]: Extracting #10: cost 0 inf + 4203 11.291 * [simplify]: Simplified to (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))) 11.291 * [simplify]: Simplified (2 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))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))))))) 11.291 * [simplify]: Simplifying (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))) 11.292 * * [simplify]: iters left: 6 (12 enodes) 11.296 * * [simplify]: iters left: 5 (40 enodes) 11.307 * * [simplify]: iters left: 4 (43 enodes) 11.318 * * [simplify]: Extracting #0: cost 1 inf + 0 11.318 * * [simplify]: Extracting #1: cost 4 inf + 0 11.318 * * [simplify]: Extracting #2: cost 8 inf + 0 11.318 * * [simplify]: Extracting #3: cost 13 inf + 0 11.318 * * [simplify]: Extracting #4: cost 15 inf + 83 11.319 * * [simplify]: Extracting #5: cost 13 inf + 328 11.319 * * [simplify]: Extracting #6: cost 14 inf + 369 11.319 * * [simplify]: Extracting #7: cost 13 inf + 451 11.319 * * [simplify]: Extracting #8: cost 9 inf + 898 11.320 * * [simplify]: Extracting #9: cost 3 inf + 2390 11.321 * * [simplify]: Extracting #10: cost 0 inf + 3556 11.322 * [simplify]: Simplified to (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))) 11.322 * [simplify]: Simplified (2 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))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))))))) 11.322 * * * * [progress]: [ 63 / 149 ] simplifiying candidate # 11.323 * [simplify]: Simplifying (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.323 * * [simplify]: iters left: 6 (16 enodes) 11.330 * * [simplify]: iters left: 5 (55 enodes) 11.345 * * [simplify]: iters left: 4 (62 enodes) 11.361 * * [simplify]: Extracting #0: cost 1 inf + 0 11.361 * * [simplify]: Extracting #1: cost 4 inf + 0 11.361 * * [simplify]: Extracting #2: cost 9 inf + 0 11.361 * * [simplify]: Extracting #3: cost 14 inf + 0 11.361 * * [simplify]: Extracting #4: cost 20 inf + 0 11.361 * * [simplify]: Extracting #5: cost 27 inf + 1 11.361 * * [simplify]: Extracting #6: cost 20 inf + 778 11.361 * * [simplify]: Extracting #7: cost 15 inf + 1428 11.362 * * [simplify]: Extracting #8: cost 11 inf + 1915 11.362 * * [simplify]: Extracting #9: cost 3 inf + 3971 11.363 * * [simplify]: Extracting #10: cost 1 inf + 4816 11.364 * * [simplify]: Extracting #11: cost 0 inf + 5339 11.366 * [simplify]: Simplified to (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.366 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 11.366 * [simplify]: Simplifying (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.366 * * [simplify]: iters left: 6 (15 enodes) 11.370 * * [simplify]: iters left: 5 (51 enodes) 11.377 * * [simplify]: iters left: 4 (58 enodes) 11.384 * * [simplify]: Extracting #0: cost 1 inf + 0 11.384 * * [simplify]: Extracting #1: cost 4 inf + 0 11.384 * * [simplify]: Extracting #2: cost 8 inf + 0 11.384 * * [simplify]: Extracting #3: cost 12 inf + 0 11.384 * * [simplify]: Extracting #4: cost 18 inf + 0 11.384 * * [simplify]: Extracting #5: cost 25 inf + 1 11.384 * * [simplify]: Extracting #6: cost 24 inf + 126 11.385 * * [simplify]: Extracting #7: cost 15 inf + 1184 11.385 * * [simplify]: Extracting #8: cost 9 inf + 1875 11.385 * * [simplify]: Extracting #9: cost 2 inf + 3649 11.386 * * [simplify]: Extracting #10: cost 0 inf + 4695 11.387 * [simplify]: Simplified to (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 11.387 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 11.387 * * * * [progress]: [ 64 / 149 ] simplifiying candidate # 11.387 * [simplify]: Simplifying (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 1)) 11.387 * * [simplify]: iters left: 6 (13 enodes) 11.391 * * [simplify]: iters left: 5 (45 enodes) 11.397 * * [simplify]: iters left: 4 (50 enodes) 11.404 * * [simplify]: iters left: 3 (52 enodes) 11.410 * * [simplify]: Extracting #0: cost 1 inf + 0 11.410 * * [simplify]: Extracting #1: cost 5 inf + 0 11.410 * * [simplify]: Extracting #2: cost 7 inf + 1 11.410 * * [simplify]: Extracting #3: cost 11 inf + 1 11.410 * * [simplify]: Extracting #4: cost 12 inf + 43 11.410 * * [simplify]: Extracting #5: cost 14 inf + 84 11.410 * * [simplify]: Extracting #6: cost 16 inf + 125 11.411 * * [simplify]: Extracting #7: cost 13 inf + 208 11.411 * * [simplify]: Extracting #8: cost 9 inf + 655 11.411 * * [simplify]: Extracting #9: cost 5 inf + 1503 11.411 * * [simplify]: Extracting #10: cost 0 inf + 3073 11.412 * [simplify]: Simplified to (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 11.412 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 11.412 * [simplify]: Simplifying (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 11.412 * * [simplify]: iters left: 6 (14 enodes) 11.415 * * [simplify]: iters left: 5 (48 enodes) 11.425 * * [simplify]: iters left: 4 (55 enodes) 11.440 * * [simplify]: Extracting #0: cost 1 inf + 0 11.440 * * [simplify]: Extracting #1: cost 4 inf + 0 11.440 * * [simplify]: Extracting #2: cost 8 inf + 0 11.440 * * [simplify]: Extracting #3: cost 12 inf + 0 11.440 * * [simplify]: Extracting #4: cost 21 inf + 0 11.440 * * [simplify]: Extracting #5: cost 22 inf + 44 11.441 * * [simplify]: Extracting #6: cost 15 inf + 820 11.441 * * [simplify]: Extracting #7: cost 13 inf + 1024 11.442 * * [simplify]: Extracting #8: cost 9 inf + 1471 11.443 * * [simplify]: Extracting #9: cost 2 inf + 3446 11.444 * * [simplify]: Extracting #10: cost 0 inf + 4211 11.445 * [simplify]: Simplified to (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 11.445 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 11.445 * * * * [progress]: [ 65 / 149 ] simplifiying candidate # 11.446 * [simplify]: Simplifying (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.446 * * [simplify]: iters left: 6 (16 enodes) 11.454 * * [simplify]: iters left: 5 (55 enodes) 11.471 * * [simplify]: iters left: 4 (62 enodes) 11.488 * * [simplify]: Extracting #0: cost 1 inf + 0 11.488 * * [simplify]: Extracting #1: cost 4 inf + 0 11.488 * * [simplify]: Extracting #2: cost 9 inf + 0 11.489 * * [simplify]: Extracting #3: cost 14 inf + 0 11.489 * * [simplify]: Extracting #4: cost 20 inf + 0 11.489 * * [simplify]: Extracting #5: cost 27 inf + 1 11.489 * * [simplify]: Extracting #6: cost 20 inf + 778 11.489 * * [simplify]: Extracting #7: cost 15 inf + 1428 11.490 * * [simplify]: Extracting #8: cost 11 inf + 1915 11.491 * * [simplify]: Extracting #9: cost 3 inf + 3971 11.493 * * [simplify]: Extracting #10: cost 1 inf + 4816 11.494 * * [simplify]: Extracting #11: cost 0 inf + 5339 11.495 * [simplify]: Simplified to (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.495 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 11.495 * [simplify]: Simplifying (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.496 * * [simplify]: iters left: 6 (15 enodes) 11.499 * * [simplify]: iters left: 5 (51 enodes) 11.506 * * [simplify]: iters left: 4 (58 enodes) 11.514 * * [simplify]: Extracting #0: cost 1 inf + 0 11.514 * * [simplify]: Extracting #1: cost 4 inf + 0 11.514 * * [simplify]: Extracting #2: cost 8 inf + 0 11.514 * * [simplify]: Extracting #3: cost 12 inf + 0 11.514 * * [simplify]: Extracting #4: cost 18 inf + 0 11.514 * * [simplify]: Extracting #5: cost 25 inf + 1 11.514 * * [simplify]: Extracting #6: cost 24 inf + 126 11.514 * * [simplify]: Extracting #7: cost 15 inf + 1184 11.514 * * [simplify]: Extracting #8: cost 9 inf + 1875 11.515 * * [simplify]: Extracting #9: cost 2 inf + 3649 11.516 * * [simplify]: Extracting #10: cost 0 inf + 4695 11.516 * [simplify]: Simplified to (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 11.517 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 11.517 * * * * [progress]: [ 66 / 149 ] simplifiying candidate # 11.517 * [simplify]: Simplifying (/ (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 1) 11.517 * * [simplify]: iters left: 6 (12 enodes) 11.520 * * [simplify]: iters left: 5 (40 enodes) 11.526 * * [simplify]: iters left: 4 (47 enodes) 11.536 * * [simplify]: Extracting #0: cost 1 inf + 0 11.536 * * [simplify]: Extracting #1: cost 5 inf + 0 11.536 * * [simplify]: Extracting #2: cost 7 inf + 1 11.536 * * [simplify]: Extracting #3: cost 11 inf + 1 11.537 * * [simplify]: Extracting #4: cost 13 inf + 2 11.537 * * [simplify]: Extracting #5: cost 15 inf + 43 11.537 * * [simplify]: Extracting #6: cost 16 inf + 125 11.537 * * [simplify]: Extracting #7: cost 13 inf + 208 11.537 * * [simplify]: Extracting #8: cost 9 inf + 655 11.538 * * [simplify]: Extracting #9: cost 4 inf + 1825 11.539 * * [simplify]: Extracting #10: cost 0 inf + 3073 11.540 * [simplify]: Simplified to (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 11.540 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 11.540 * [simplify]: Simplifying (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 11.540 * * [simplify]: iters left: 6 (14 enodes) 11.546 * * [simplify]: iters left: 5 (48 enodes) 11.560 * * [simplify]: iters left: 4 (55 enodes) 11.575 * * [simplify]: Extracting #0: cost 1 inf + 0 11.575 * * [simplify]: Extracting #1: cost 4 inf + 0 11.575 * * [simplify]: Extracting #2: cost 8 inf + 0 11.575 * * [simplify]: Extracting #3: cost 12 inf + 0 11.575 * * [simplify]: Extracting #4: cost 21 inf + 0 11.575 * * [simplify]: Extracting #5: cost 22 inf + 44 11.576 * * [simplify]: Extracting #6: cost 15 inf + 820 11.576 * * [simplify]: Extracting #7: cost 13 inf + 1024 11.577 * * [simplify]: Extracting #8: cost 9 inf + 1471 11.578 * * [simplify]: Extracting #9: cost 2 inf + 3446 11.581 * * [simplify]: Extracting #10: cost 0 inf + 4211 11.582 * [simplify]: Simplified to (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 11.582 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 11.582 * * * * [progress]: [ 67 / 149 ] simplifiying candidate # 11.583 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 11.583 * * [simplify]: iters left: 6 (16 enodes) 11.590 * * [simplify]: iters left: 5 (56 enodes) 11.606 * * [simplify]: iters left: 4 (65 enodes) 11.623 * * [simplify]: Extracting #0: cost 1 inf + 0 11.623 * * [simplify]: Extracting #1: cost 6 inf + 0 11.623 * * [simplify]: Extracting #2: cost 12 inf + 0 11.624 * * [simplify]: Extracting #3: cost 16 inf + 0 11.624 * * [simplify]: Extracting #4: cost 22 inf + 0 11.624 * * [simplify]: Extracting #5: cost 28 inf + 42 11.624 * * [simplify]: Extracting #6: cost 28 inf + 126 11.624 * * [simplify]: Extracting #7: cost 18 inf + 1266 11.625 * * [simplify]: Extracting #8: cost 11 inf + 2519 11.626 * * [simplify]: Extracting #9: cost 4 inf + 4133 11.628 * * [simplify]: Extracting #10: cost 0 inf + 6305 11.630 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* (* im im) 2.0)))) (cbrt (sqrt (sqrt (* (* im im) 2.0)))))) 11.630 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* (* im im) 2.0)))) (cbrt (sqrt (sqrt (* (* im im) 2.0)))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 11.630 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.631 * * [simplify]: iters left: 6 (15 enodes) 11.637 * * [simplify]: iters left: 5 (51 enodes) 11.652 * * [simplify]: iters left: 4 (58 enodes) 11.669 * * [simplify]: Extracting #0: cost 1 inf + 0 11.669 * * [simplify]: Extracting #1: cost 4 inf + 0 11.669 * * [simplify]: Extracting #2: cost 8 inf + 0 11.669 * * [simplify]: Extracting #3: cost 12 inf + 0 11.669 * * [simplify]: Extracting #4: cost 18 inf + 0 11.669 * * [simplify]: Extracting #5: cost 25 inf + 1 11.669 * * [simplify]: Extracting #6: cost 24 inf + 126 11.670 * * [simplify]: Extracting #7: cost 15 inf + 1224 11.670 * * [simplify]: Extracting #8: cost 9 inf + 1955 11.671 * * [simplify]: Extracting #9: cost 2 inf + 3569 11.673 * * [simplify]: Extracting #10: cost 0 inf + 4615 11.674 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) 11.674 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))))))) 11.674 * * * * [progress]: [ 68 / 149 ] simplifiying candidate # 11.675 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 11.675 * * [simplify]: iters left: 6 (16 enodes) 11.682 * * [simplify]: iters left: 5 (55 enodes) 11.697 * * [simplify]: iters left: 4 (62 enodes) 11.714 * * [simplify]: Extracting #0: cost 1 inf + 0 11.714 * * [simplify]: Extracting #1: cost 4 inf + 0 11.714 * * [simplify]: Extracting #2: cost 9 inf + 0 11.714 * * [simplify]: Extracting #3: cost 14 inf + 0 11.714 * * [simplify]: Extracting #4: cost 20 inf + 0 11.715 * * [simplify]: Extracting #5: cost 27 inf + 1 11.715 * * [simplify]: Extracting #6: cost 26 inf + 126 11.715 * * [simplify]: Extracting #7: cost 16 inf + 1386 11.716 * * [simplify]: Extracting #8: cost 9 inf + 2559 11.717 * * [simplify]: Extracting #9: cost 3 inf + 3851 11.718 * * [simplify]: Extracting #10: cost 1 inf + 4656 11.720 * * [simplify]: Extracting #11: cost 0 inf + 5179 11.721 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs (cbrt (sqrt (* (* im im) 2.0))))) 11.721 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs (cbrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 11.722 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 11.722 * * [simplify]: iters left: 6 (15 enodes) 11.731 * * [simplify]: iters left: 5 (51 enodes) 11.745 * * [simplify]: iters left: 4 (58 enodes) 11.761 * * [simplify]: Extracting #0: cost 1 inf + 0 11.761 * * [simplify]: Extracting #1: cost 4 inf + 0 11.761 * * [simplify]: Extracting #2: cost 8 inf + 0 11.762 * * [simplify]: Extracting #3: cost 12 inf + 0 11.762 * * [simplify]: Extracting #4: cost 18 inf + 0 11.762 * * [simplify]: Extracting #5: cost 25 inf + 1 11.762 * * [simplify]: Extracting #6: cost 24 inf + 126 11.762 * * [simplify]: Extracting #7: cost 15 inf + 1304 11.763 * * [simplify]: Extracting #8: cost 9 inf + 2035 11.764 * * [simplify]: Extracting #9: cost 2 inf + 3649 11.765 * * [simplify]: Extracting #10: cost 0 inf + 4695 11.767 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))) 11.767 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))))))) 11.767 * * * * [progress]: [ 69 / 149 ] simplifiying candidate # 11.767 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))) 11.767 * * [simplify]: iters left: 6 (13 enodes) 11.773 * * [simplify]: iters left: 5 (42 enodes) 11.785 * * [simplify]: iters left: 4 (45 enodes) 11.797 * * [simplify]: Extracting #0: cost 1 inf + 0 11.798 * * [simplify]: Extracting #1: cost 4 inf + 0 11.798 * * [simplify]: Extracting #2: cost 8 inf + 0 11.798 * * [simplify]: Extracting #3: cost 12 inf + 0 11.798 * * [simplify]: Extracting #4: cost 12 inf + 164 11.798 * * [simplify]: Extracting #5: cost 13 inf + 246 11.798 * * [simplify]: Extracting #6: cost 15 inf + 287 11.798 * * [simplify]: Extracting #7: cost 16 inf + 369 11.799 * * [simplify]: Extracting #8: cost 10 inf + 777 11.799 * * [simplify]: Extracting #9: cost 4 inf + 2190 11.800 * * [simplify]: Extracting #10: cost 0 inf + 3319 11.801 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))) 11.801 * [simplify]: Simplified (2 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))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))))))) 11.802 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))) 11.802 * * [simplify]: iters left: 6 (12 enodes) 11.807 * * [simplify]: iters left: 5 (40 enodes) 11.818 * * [simplify]: iters left: 4 (43 enodes) 11.829 * * [simplify]: Extracting #0: cost 1 inf + 0 11.829 * * [simplify]: Extracting #1: cost 4 inf + 0 11.829 * * [simplify]: Extracting #2: cost 8 inf + 0 11.829 * * [simplify]: Extracting #3: cost 13 inf + 0 11.829 * * [simplify]: Extracting #4: cost 15 inf + 83 11.829 * * [simplify]: Extracting #5: cost 13 inf + 328 11.829 * * [simplify]: Extracting #6: cost 14 inf + 369 11.830 * * [simplify]: Extracting #7: cost 13 inf + 451 11.830 * * [simplify]: Extracting #8: cost 9 inf + 898 11.831 * * [simplify]: Extracting #9: cost 3 inf + 2270 11.831 * * [simplify]: Extracting #10: cost 0 inf + 3316 11.832 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))) 11.832 * [simplify]: Simplified (2 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))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))))))) 11.833 * * * * [progress]: [ 70 / 149 ] simplifiying candidate # 11.833 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.833 * * [simplify]: iters left: 6 (15 enodes) 11.840 * * [simplify]: iters left: 5 (51 enodes) 11.855 * * [simplify]: iters left: 4 (58 enodes) 11.870 * * [simplify]: Extracting #0: cost 1 inf + 0 11.870 * * [simplify]: Extracting #1: cost 4 inf + 0 11.871 * * [simplify]: Extracting #2: cost 8 inf + 0 11.871 * * [simplify]: Extracting #3: cost 12 inf + 0 11.871 * * [simplify]: Extracting #4: cost 18 inf + 0 11.871 * * [simplify]: Extracting #5: cost 25 inf + 1 11.871 * * [simplify]: Extracting #6: cost 24 inf + 126 11.871 * * [simplify]: Extracting #7: cost 15 inf + 1184 11.872 * * [simplify]: Extracting #8: cost 9 inf + 1875 11.873 * * [simplify]: Extracting #9: cost 2 inf + 3489 11.874 * * [simplify]: Extracting #10: cost 0 inf + 4455 11.875 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 11.875 * [simplify]: Simplified (2 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 (sqrt (* (* im im) 2.0))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 11.876 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 11.876 * * [simplify]: iters left: 6 (15 enodes) 11.885 * * [simplify]: iters left: 5 (51 enodes) 11.899 * * [simplify]: iters left: 4 (58 enodes) 11.915 * * [simplify]: Extracting #0: cost 1 inf + 0 11.915 * * [simplify]: Extracting #1: cost 4 inf + 0 11.915 * * [simplify]: Extracting #2: cost 8 inf + 0 11.915 * * [simplify]: Extracting #3: cost 12 inf + 0 11.915 * * [simplify]: Extracting #4: cost 18 inf + 0 11.915 * * [simplify]: Extracting #5: cost 25 inf + 1 11.916 * * [simplify]: Extracting #6: cost 24 inf + 126 11.916 * * [simplify]: Extracting #7: cost 15 inf + 1184 11.917 * * [simplify]: Extracting #8: cost 9 inf + 1875 11.918 * * [simplify]: Extracting #9: cost 2 inf + 3489 11.919 * * [simplify]: Extracting #10: cost 0 inf + 4455 11.920 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 11.920 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 11.921 * * * * [progress]: [ 71 / 149 ] simplifiying candidate # 11.921 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 1)) 11.921 * * [simplify]: iters left: 6 (12 enodes) 11.928 * * [simplify]: iters left: 5 (41 enodes) 11.940 * * [simplify]: iters left: 4 (46 enodes) 11.952 * * [simplify]: iters left: 3 (48 enodes) 11.964 * * [simplify]: Extracting #0: cost 1 inf + 0 11.964 * * [simplify]: Extracting #1: cost 4 inf + 0 11.964 * * [simplify]: Extracting #2: cost 5 inf + 1 11.964 * * [simplify]: Extracting #3: cost 9 inf + 1 11.964 * * [simplify]: Extracting #4: cost 11 inf + 2 11.964 * * [simplify]: Extracting #5: cost 13 inf + 43 11.965 * * [simplify]: Extracting #6: cost 14 inf + 125 11.965 * * [simplify]: Extracting #7: cost 10 inf + 249 11.965 * * [simplify]: Extracting #8: cost 6 inf + 817 11.966 * * [simplify]: Extracting #9: cost 1 inf + 1987 11.966 * * [simplify]: Extracting #10: cost 0 inf + 2269 11.967 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.967 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 11.968 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 11.968 * * [simplify]: iters left: 6 (14 enodes) 11.974 * * [simplify]: iters left: 5 (48 enodes) 11.988 * * [simplify]: iters left: 4 (55 enodes) 12.002 * * [simplify]: Extracting #0: cost 1 inf + 0 12.002 * * [simplify]: Extracting #1: cost 4 inf + 0 12.003 * * [simplify]: Extracting #2: cost 8 inf + 0 12.003 * * [simplify]: Extracting #3: cost 12 inf + 0 12.003 * * [simplify]: Extracting #4: cost 21 inf + 0 12.003 * * [simplify]: Extracting #5: cost 22 inf + 44 12.003 * * [simplify]: Extracting #6: cost 15 inf + 820 12.004 * * [simplify]: Extracting #7: cost 13 inf + 1024 12.004 * * [simplify]: Extracting #8: cost 9 inf + 1471 12.005 * * [simplify]: Extracting #9: cost 2 inf + 3286 12.006 * * [simplify]: Extracting #10: cost 0 inf + 3971 12.007 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 12.007 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 12.008 * * * * [progress]: [ 72 / 149 ] simplifiying candidate # 12.008 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.008 * * [simplify]: iters left: 6 (15 enodes) 12.015 * * [simplify]: iters left: 5 (51 enodes) 12.031 * * [simplify]: iters left: 4 (58 enodes) 12.038 * * [simplify]: Extracting #0: cost 1 inf + 0 12.038 * * [simplify]: Extracting #1: cost 4 inf + 0 12.039 * * [simplify]: Extracting #2: cost 8 inf + 0 12.039 * * [simplify]: Extracting #3: cost 12 inf + 0 12.039 * * [simplify]: Extracting #4: cost 18 inf + 0 12.039 * * [simplify]: Extracting #5: cost 25 inf + 1 12.039 * * [simplify]: Extracting #6: cost 24 inf + 126 12.039 * * [simplify]: Extracting #7: cost 15 inf + 1184 12.039 * * [simplify]: Extracting #8: cost 9 inf + 1875 12.040 * * [simplify]: Extracting #9: cost 2 inf + 3489 12.040 * * [simplify]: Extracting #10: cost 0 inf + 4455 12.041 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 12.041 * [simplify]: Simplified (2 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 (sqrt (* (* im im) 2.0))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.041 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.041 * * [simplify]: iters left: 6 (15 enodes) 12.045 * * [simplify]: iters left: 5 (51 enodes) 12.052 * * [simplify]: iters left: 4 (58 enodes) 12.059 * * [simplify]: Extracting #0: cost 1 inf + 0 12.059 * * [simplify]: Extracting #1: cost 4 inf + 0 12.059 * * [simplify]: Extracting #2: cost 8 inf + 0 12.059 * * [simplify]: Extracting #3: cost 12 inf + 0 12.059 * * [simplify]: Extracting #4: cost 18 inf + 0 12.059 * * [simplify]: Extracting #5: cost 25 inf + 1 12.060 * * [simplify]: Extracting #6: cost 24 inf + 126 12.060 * * [simplify]: Extracting #7: cost 15 inf + 1184 12.060 * * [simplify]: Extracting #8: cost 9 inf + 1875 12.061 * * [simplify]: Extracting #9: cost 2 inf + 3489 12.061 * * [simplify]: Extracting #10: cost 0 inf + 4455 12.062 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 12.062 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 12.062 * * * * [progress]: [ 73 / 149 ] simplifiying candidate # 12.062 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 1) 12.062 * * [simplify]: iters left: 6 (11 enodes) 12.067 * * [simplify]: iters left: 5 (36 enodes) 12.078 * * [simplify]: iters left: 4 (41 enodes) 12.089 * * [simplify]: Extracting #0: cost 1 inf + 0 12.089 * * [simplify]: Extracting #1: cost 4 inf + 0 12.089 * * [simplify]: Extracting #2: cost 5 inf + 1 12.089 * * [simplify]: Extracting #3: cost 9 inf + 1 12.089 * * [simplify]: Extracting #4: cost 11 inf + 2 12.089 * * [simplify]: Extracting #5: cost 13 inf + 43 12.089 * * [simplify]: Extracting #6: cost 14 inf + 125 12.090 * * [simplify]: Extracting #7: cost 11 inf + 208 12.090 * * [simplify]: Extracting #8: cost 7 inf + 655 12.090 * * [simplify]: Extracting #9: cost 3 inf + 1463 12.091 * * [simplify]: Extracting #10: cost 0 inf + 2269 12.092 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.092 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.092 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 12.092 * * [simplify]: iters left: 6 (14 enodes) 12.099 * * [simplify]: iters left: 5 (48 enodes) 12.112 * * [simplify]: iters left: 4 (55 enodes) 12.128 * * [simplify]: Extracting #0: cost 1 inf + 0 12.128 * * [simplify]: Extracting #1: cost 4 inf + 0 12.128 * * [simplify]: Extracting #2: cost 8 inf + 0 12.128 * * [simplify]: Extracting #3: cost 12 inf + 0 12.128 * * [simplify]: Extracting #4: cost 21 inf + 0 12.128 * * [simplify]: Extracting #5: cost 22 inf + 44 12.128 * * [simplify]: Extracting #6: cost 15 inf + 820 12.129 * * [simplify]: Extracting #7: cost 13 inf + 1024 12.129 * * [simplify]: Extracting #8: cost 9 inf + 1471 12.130 * * [simplify]: Extracting #9: cost 2 inf + 3286 12.132 * * [simplify]: Extracting #10: cost 0 inf + 3971 12.133 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 12.133 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 12.133 * * * * [progress]: [ 74 / 149 ] simplifiying candidate # 12.134 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 12.134 * * [simplify]: iters left: 6 (11 enodes) 12.140 * * [simplify]: iters left: 5 (40 enodes) 12.154 * * [simplify]: iters left: 4 (51 enodes) 12.168 * * [simplify]: iters left: 3 (53 enodes) 12.178 * * [simplify]: Extracting #0: cost 1 inf + 0 12.178 * * [simplify]: Extracting #1: cost 7 inf + 0 12.178 * * [simplify]: Extracting #2: cost 11 inf + 1 12.178 * * [simplify]: Extracting #3: cost 13 inf + 1 12.178 * * [simplify]: Extracting #4: cost 15 inf + 1 12.178 * * [simplify]: Extracting #5: cost 20 inf + 1 12.178 * * [simplify]: Extracting #6: cost 19 inf + 45 12.178 * * [simplify]: Extracting #7: cost 15 inf + 251 12.178 * * [simplify]: Extracting #8: cost 11 inf + 739 12.179 * * [simplify]: Extracting #9: cost 3 inf + 2839 12.179 * * [simplify]: Extracting #10: cost 0 inf + 3727 12.180 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (* (* im im) 2.0))))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) 12.180 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (/ 1 (cbrt (sqrt (sqrt (* (* im im) 2.0))))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.180 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.180 * * [simplify]: iters left: 6 (14 enodes) 12.183 * * [simplify]: iters left: 5 (48 enodes) 12.191 * * [simplify]: iters left: 4 (55 enodes) 12.198 * * [simplify]: Extracting #0: cost 1 inf + 0 12.198 * * [simplify]: Extracting #1: cost 4 inf + 0 12.198 * * [simplify]: Extracting #2: cost 8 inf + 0 12.198 * * [simplify]: Extracting #3: cost 14 inf + 0 12.198 * * [simplify]: Extracting #4: cost 18 inf + 1 12.199 * * [simplify]: Extracting #5: cost 23 inf + 83 12.199 * * [simplify]: Extracting #6: cost 21 inf + 249 12.199 * * [simplify]: Extracting #7: cost 8 inf + 1793 12.200 * * [simplify]: Extracting #8: cost 2 inf + 3246 12.202 * * [simplify]: Extracting #9: cost 0 inf + 3971 12.203 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.203 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.203 * * * * [progress]: [ 75 / 149 ] simplifiying candidate # 12.204 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 12.204 * * [simplify]: iters left: 6 (11 enodes) 12.210 * * [simplify]: iters left: 5 (39 enodes) 12.222 * * [simplify]: iters left: 4 (45 enodes) 12.235 * * [simplify]: Extracting #0: cost 1 inf + 0 12.235 * * [simplify]: Extracting #1: cost 4 inf + 0 12.235 * * [simplify]: Extracting #2: cost 6 inf + 1 12.235 * * [simplify]: Extracting #3: cost 9 inf + 1 12.235 * * [simplify]: Extracting #4: cost 11 inf + 1 12.235 * * [simplify]: Extracting #5: cost 16 inf + 1 12.235 * * [simplify]: Extracting #6: cost 16 inf + 3 12.235 * * [simplify]: Extracting #7: cost 11 inf + 291 12.236 * * [simplify]: Extracting #8: cost 4 inf + 1465 12.237 * * [simplify]: Extracting #9: cost 1 inf + 2232 12.238 * * [simplify]: Extracting #10: cost 0 inf + 2515 12.238 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt (* (* 2.0 im) im))))) 12.238 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (fabs (cbrt (sqrt (* (* 2.0 im) im))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 12.239 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 12.239 * * [simplify]: iters left: 6 (14 enodes) 12.246 * * [simplify]: iters left: 5 (48 enodes) 12.260 * * [simplify]: iters left: 4 (55 enodes) 12.267 * * [simplify]: Extracting #0: cost 1 inf + 0 12.267 * * [simplify]: Extracting #1: cost 4 inf + 0 12.267 * * [simplify]: Extracting #2: cost 8 inf + 0 12.267 * * [simplify]: Extracting #3: cost 14 inf + 0 12.267 * * [simplify]: Extracting #4: cost 18 inf + 1 12.267 * * [simplify]: Extracting #5: cost 23 inf + 83 12.267 * * [simplify]: Extracting #6: cost 21 inf + 249 12.268 * * [simplify]: Extracting #7: cost 8 inf + 1833 12.268 * * [simplify]: Extracting #8: cost 2 inf + 3326 12.270 * * [simplify]: Extracting #9: cost 0 inf + 4051 12.271 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 12.271 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 12.271 * * * * [progress]: [ 76 / 149 ] simplifiying candidate # 12.271 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 2.0))) 12.272 * * [simplify]: iters left: 4 (6 enodes) 12.274 * * [simplify]: iters left: 3 (20 enodes) 12.277 * * [simplify]: iters left: 2 (22 enodes) 12.281 * * [simplify]: Extracting #0: cost 1 inf + 0 12.281 * * [simplify]: Extracting #1: cost 4 inf + 0 12.281 * * [simplify]: Extracting #2: cost 5 inf + 1 12.281 * * [simplify]: Extracting #3: cost 7 inf + 1 12.281 * * [simplify]: Extracting #4: cost 1 inf + 368 12.281 * * [simplify]: Extracting #5: cost 0 inf + 490 12.281 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2.0))) 12.281 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im im)))))))) 12.281 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im im)))) 12.281 * * [simplify]: iters left: 6 (11 enodes) 12.283 * * [simplify]: iters left: 5 (37 enodes) 12.289 * * [simplify]: iters left: 4 (40 enodes) 12.294 * * [simplify]: Extracting #0: cost 1 inf + 0 12.294 * * [simplify]: Extracting #1: cost 4 inf + 0 12.294 * * [simplify]: Extracting #2: cost 8 inf + 0 12.294 * * [simplify]: Extracting #3: cost 15 inf + 0 12.294 * * [simplify]: Extracting #4: cost 12 inf + 287 12.294 * * [simplify]: Extracting #5: cost 11 inf + 410 12.294 * * [simplify]: Extracting #6: cost 11 inf + 451 12.294 * * [simplify]: Extracting #7: cost 6 inf + 1060 12.295 * * [simplify]: Extracting #8: cost 2 inf + 1948 12.295 * * [simplify]: Extracting #9: cost 1 inf + 2310 12.296 * * [simplify]: Extracting #10: cost 0 inf + 2672 12.297 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) 12.297 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))))))) 12.297 * * * * [progress]: [ 77 / 149 ] simplifiying candidate # 12.298 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.298 * * [simplify]: iters left: 6 (10 enodes) 12.303 * * [simplify]: iters left: 5 (35 enodes) 12.314 * * [simplify]: iters left: 4 (41 enodes) 12.325 * * [simplify]: Extracting #0: cost 1 inf + 0 12.325 * * [simplify]: Extracting #1: cost 4 inf + 0 12.325 * * [simplify]: Extracting #2: cost 5 inf + 1 12.325 * * [simplify]: Extracting #3: cost 7 inf + 1 12.325 * * [simplify]: Extracting #4: cost 9 inf + 1 12.325 * * [simplify]: Extracting #5: cost 14 inf + 1 12.325 * * [simplify]: Extracting #6: cost 14 inf + 3 12.325 * * [simplify]: Extracting #7: cost 9 inf + 291 12.326 * * [simplify]: Extracting #8: cost 4 inf + 901 12.326 * * [simplify]: Extracting #9: cost 0 inf + 1791 12.327 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 12.327 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.327 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.328 * * [simplify]: iters left: 6 (14 enodes) 12.334 * * [simplify]: iters left: 5 (48 enodes) 12.347 * * [simplify]: iters left: 4 (55 enodes) 12.363 * * [simplify]: Extracting #0: cost 1 inf + 0 12.363 * * [simplify]: Extracting #1: cost 4 inf + 0 12.363 * * [simplify]: Extracting #2: cost 8 inf + 0 12.363 * * [simplify]: Extracting #3: cost 14 inf + 0 12.363 * * [simplify]: Extracting #4: cost 18 inf + 1 12.364 * * [simplify]: Extracting #5: cost 23 inf + 83 12.364 * * [simplify]: Extracting #6: cost 21 inf + 249 12.364 * * [simplify]: Extracting #7: cost 8 inf + 1713 12.365 * * [simplify]: Extracting #8: cost 2 inf + 3126 12.367 * * [simplify]: Extracting #9: cost 0 inf + 3811 12.368 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.368 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.368 * * * * [progress]: [ 78 / 149 ] simplifiying candidate # 12.369 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 12.369 * * [simplify]: iters left: 3 (3 enodes) 12.372 * * [simplify]: iters left: 2 (9 enodes) 12.375 * * [simplify]: iters left: 1 (11 enodes) 12.377 * * [simplify]: Extracting #0: cost 1 inf + 0 12.378 * * [simplify]: Extracting #1: cost 0 inf + 1 12.378 * [simplify]: Simplified to 1 12.378 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.378 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 12.378 * * [simplify]: iters left: 6 (13 enodes) 12.384 * * [simplify]: iters left: 5 (45 enodes) 12.398 * * [simplify]: iters left: 4 (52 enodes) 12.415 * * [simplify]: Extracting #0: cost 1 inf + 0 12.415 * * [simplify]: Extracting #1: cost 4 inf + 0 12.415 * * [simplify]: Extracting #2: cost 8 inf + 0 12.415 * * [simplify]: Extracting #3: cost 14 inf + 0 12.415 * * [simplify]: Extracting #4: cost 21 inf + 1 12.416 * * [simplify]: Extracting #5: cost 18 inf + 291 12.416 * * [simplify]: Extracting #6: cost 11 inf + 1024 12.417 * * [simplify]: Extracting #7: cost 8 inf + 1349 12.418 * * [simplify]: Extracting #8: cost 1 inf + 2924 12.419 * * [simplify]: Extracting #9: cost 0 inf + 3327 12.420 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 12.420 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.420 * * * * [progress]: [ 79 / 149 ] simplifiying candidate # 12.421 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.421 * * [simplify]: iters left: 6 (10 enodes) 12.427 * * [simplify]: iters left: 5 (35 enodes) 12.438 * * [simplify]: iters left: 4 (41 enodes) 12.450 * * [simplify]: Extracting #0: cost 1 inf + 0 12.450 * * [simplify]: Extracting #1: cost 4 inf + 0 12.450 * * [simplify]: Extracting #2: cost 5 inf + 1 12.450 * * [simplify]: Extracting #3: cost 7 inf + 1 12.450 * * [simplify]: Extracting #4: cost 9 inf + 1 12.450 * * [simplify]: Extracting #5: cost 14 inf + 1 12.450 * * [simplify]: Extracting #6: cost 14 inf + 3 12.450 * * [simplify]: Extracting #7: cost 9 inf + 291 12.451 * * [simplify]: Extracting #8: cost 4 inf + 901 12.452 * * [simplify]: Extracting #9: cost 0 inf + 1791 12.452 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 12.452 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.453 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.453 * * [simplify]: iters left: 6 (14 enodes) 12.457 * * [simplify]: iters left: 5 (48 enodes) 12.464 * * [simplify]: iters left: 4 (55 enodes) 12.471 * * [simplify]: Extracting #0: cost 1 inf + 0 12.471 * * [simplify]: Extracting #1: cost 4 inf + 0 12.471 * * [simplify]: Extracting #2: cost 8 inf + 0 12.471 * * [simplify]: Extracting #3: cost 14 inf + 0 12.471 * * [simplify]: Extracting #4: cost 18 inf + 1 12.471 * * [simplify]: Extracting #5: cost 23 inf + 83 12.472 * * [simplify]: Extracting #6: cost 21 inf + 249 12.472 * * [simplify]: Extracting #7: cost 8 inf + 1713 12.472 * * [simplify]: Extracting #8: cost 2 inf + 3126 12.473 * * [simplify]: Extracting #9: cost 0 inf + 3811 12.474 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.474 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.474 * * * * [progress]: [ 80 / 149 ] simplifiying candidate # 12.474 * [simplify]: Simplifying (/ (sqrt 1) 1) 12.474 * * [simplify]: iters left: 3 (3 enodes) 12.476 * * [simplify]: iters left: 2 (9 enodes) 12.477 * * [simplify]: iters left: 1 (11 enodes) 12.479 * * [simplify]: Extracting #0: cost 1 inf + 0 12.479 * * [simplify]: Extracting #1: cost 0 inf + 1 12.479 * [simplify]: Simplified to 1 12.479 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.479 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 12.479 * * [simplify]: iters left: 6 (13 enodes) 12.482 * * [simplify]: iters left: 5 (45 enodes) 12.489 * * [simplify]: iters left: 4 (52 enodes) 12.500 * * [simplify]: Extracting #0: cost 1 inf + 0 12.501 * * [simplify]: Extracting #1: cost 4 inf + 0 12.501 * * [simplify]: Extracting #2: cost 8 inf + 0 12.501 * * [simplify]: Extracting #3: cost 14 inf + 0 12.501 * * [simplify]: Extracting #4: cost 21 inf + 1 12.501 * * [simplify]: Extracting #5: cost 18 inf + 291 12.501 * * [simplify]: Extracting #6: cost 11 inf + 1024 12.502 * * [simplify]: Extracting #7: cost 8 inf + 1349 12.503 * * [simplify]: Extracting #8: cost 1 inf + 2924 12.504 * * [simplify]: Extracting #9: cost 0 inf + 3327 12.505 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 12.505 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.505 * * * * [progress]: [ 81 / 149 ] simplifiying candidate # 12.506 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 12.506 * * [simplify]: iters left: 6 (17 enodes) 12.513 * * [simplify]: iters left: 5 (58 enodes) 12.531 * * [simplify]: iters left: 4 (64 enodes) 12.540 * * [simplify]: Extracting #0: cost 1 inf + 0 12.540 * * [simplify]: Extracting #1: cost 6 inf + 0 12.540 * * [simplify]: Extracting #2: cost 12 inf + 0 12.540 * * [simplify]: Extracting #3: cost 17 inf + 0 12.540 * * [simplify]: Extracting #4: cost 23 inf + 0 12.540 * * [simplify]: Extracting #5: cost 29 inf + 1 12.540 * * [simplify]: Extracting #6: cost 23 inf + 616 12.540 * * [simplify]: Extracting #7: cost 15 inf + 2072 12.541 * * [simplify]: Extracting #8: cost 12 inf + 2397 12.541 * * [simplify]: Extracting #9: cost 6 inf + 3689 12.542 * * [simplify]: Extracting #10: cost 0 inf + 6625 12.543 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 12.544 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.544 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.544 * * [simplify]: iters left: 6 (16 enodes) 12.547 * * [simplify]: iters left: 5 (54 enodes) 12.555 * * [simplify]: iters left: 4 (61 enodes) 12.567 * * [simplify]: Extracting #0: cost 1 inf + 0 12.567 * * [simplify]: Extracting #1: cost 4 inf + 0 12.567 * * [simplify]: Extracting #2: cost 8 inf + 0 12.567 * * [simplify]: Extracting #3: cost 14 inf + 0 12.568 * * [simplify]: Extracting #4: cost 21 inf + 0 12.568 * * [simplify]: Extracting #5: cost 26 inf + 42 12.568 * * [simplify]: Extracting #6: cost 20 inf + 696 12.568 * * [simplify]: Extracting #7: cost 13 inf + 1670 12.568 * * [simplify]: Extracting #8: cost 10 inf + 1995 12.569 * * [simplify]: Extracting #9: cost 4 inf + 3287 12.570 * * [simplify]: Extracting #10: cost 1 inf + 4454 12.570 * * [simplify]: Extracting #11: cost 0 inf + 5017 12.571 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.571 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.571 * * * * [progress]: [ 82 / 149 ] simplifiying candidate # 12.572 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 12.572 * * [simplify]: iters left: 6 (17 enodes) 12.575 * * [simplify]: iters left: 5 (57 enodes) 12.583 * * [simplify]: iters left: 4 (61 enodes) 12.591 * * [simplify]: Extracting #0: cost 1 inf + 0 12.591 * * [simplify]: Extracting #1: cost 4 inf + 0 12.591 * * [simplify]: Extracting #2: cost 9 inf + 0 12.591 * * [simplify]: Extracting #3: cost 15 inf + 0 12.591 * * [simplify]: Extracting #4: cost 21 inf + 0 12.591 * * [simplify]: Extracting #5: cost 26 inf + 42 12.591 * * [simplify]: Extracting #6: cost 21 inf + 656 12.592 * * [simplify]: Extracting #7: cost 13 inf + 2072 12.592 * * [simplify]: Extracting #8: cost 10 inf + 2397 12.593 * * [simplify]: Extracting #9: cost 4 inf + 3689 12.593 * * [simplify]: Extracting #10: cost 1 inf + 4896 12.594 * * [simplify]: Extracting #11: cost 0 inf + 5499 12.595 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (* im (* im 2.0)))))) 12.595 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (* im (* im 2.0)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 12.595 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 12.595 * * [simplify]: iters left: 6 (16 enodes) 12.599 * * [simplify]: iters left: 5 (54 enodes) 12.609 * * [simplify]: iters left: 4 (61 enodes) 12.617 * * [simplify]: Extracting #0: cost 1 inf + 0 12.617 * * [simplify]: Extracting #1: cost 4 inf + 0 12.617 * * [simplify]: Extracting #2: cost 8 inf + 0 12.617 * * [simplify]: Extracting #3: cost 14 inf + 0 12.617 * * [simplify]: Extracting #4: cost 21 inf + 0 12.617 * * [simplify]: Extracting #5: cost 26 inf + 42 12.617 * * [simplify]: Extracting #6: cost 20 inf + 736 12.617 * * [simplify]: Extracting #7: cost 13 inf + 1750 12.618 * * [simplify]: Extracting #8: cost 10 inf + 2075 12.618 * * [simplify]: Extracting #9: cost 4 inf + 3367 12.619 * * [simplify]: Extracting #10: cost 1 inf + 4534 12.619 * * [simplify]: Extracting #11: cost 0 inf + 5097 12.620 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 12.620 * [simplify]: Simplified (2 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 (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 12.620 * * * * [progress]: [ 83 / 149 ] simplifiying candidate # 12.621 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt 2.0))) 12.621 * * [simplify]: iters left: 6 (14 enodes) 12.624 * * [simplify]: iters left: 5 (44 enodes) 12.630 * * [simplify]: Extracting #0: cost 1 inf + 0 12.630 * * [simplify]: Extracting #1: cost 4 inf + 0 12.630 * * [simplify]: Extracting #2: cost 8 inf + 0 12.630 * * [simplify]: Extracting #3: cost 13 inf + 0 12.630 * * [simplify]: Extracting #4: cost 15 inf + 42 12.630 * * [simplify]: Extracting #5: cost 11 inf + 328 12.630 * * [simplify]: Extracting #6: cost 14 inf + 328 12.630 * * [simplify]: Extracting #7: cost 16 inf + 369 12.631 * * [simplify]: Extracting #8: cost 9 inf + 899 12.631 * * [simplify]: Extracting #9: cost 2 inf + 2794 12.632 * * [simplify]: Extracting #10: cost 0 inf + 3559 12.632 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt 2.0))) 12.632 * [simplify]: Simplified (2 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))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* im im)))))))) 12.632 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* im im)))) 12.633 * * [simplify]: iters left: 6 (13 enodes) 12.635 * * [simplify]: iters left: 5 (43 enodes) 12.641 * * [simplify]: iters left: 4 (46 enodes) 12.647 * * [simplify]: Extracting #0: cost 1 inf + 0 12.647 * * [simplify]: Extracting #1: cost 4 inf + 0 12.647 * * [simplify]: Extracting #2: cost 8 inf + 0 12.647 * * [simplify]: Extracting #3: cost 15 inf + 0 12.647 * * [simplify]: Extracting #4: cost 16 inf + 205 12.647 * * [simplify]: Extracting #5: cost 15 inf + 328 12.647 * * [simplify]: Extracting #6: cost 16 inf + 369 12.647 * * [simplify]: Extracting #7: cost 13 inf + 613 12.647 * * [simplify]: Extracting #8: cost 9 inf + 1100 12.648 * * [simplify]: Extracting #9: cost 4 inf + 2230 12.648 * * [simplify]: Extracting #10: cost 1 inf + 3276 12.649 * * [simplify]: Extracting #11: cost 0 inf + 3718 12.650 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (fabs im))) 12.650 * [simplify]: Simplified (2 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))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (fabs im))))))) 12.650 * * * * [progress]: [ 84 / 149 ] simplifiying candidate # 12.650 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.650 * * [simplify]: iters left: 6 (16 enodes) 12.654 * * [simplify]: iters left: 5 (53 enodes) 12.661 * * [simplify]: iters left: 4 (57 enodes) 12.673 * * [simplify]: Extracting #0: cost 1 inf + 0 12.674 * * [simplify]: Extracting #1: cost 4 inf + 0 12.674 * * [simplify]: Extracting #2: cost 8 inf + 0 12.674 * * [simplify]: Extracting #3: cost 13 inf + 0 12.674 * * [simplify]: Extracting #4: cost 19 inf + 0 12.674 * * [simplify]: Extracting #5: cost 24 inf + 42 12.674 * * [simplify]: Extracting #6: cost 18 inf + 738 12.675 * * [simplify]: Extracting #7: cost 13 inf + 1428 12.675 * * [simplify]: Extracting #8: cost 9 inf + 1875 12.676 * * [simplify]: Extracting #9: cost 3 inf + 3327 12.678 * * [simplify]: Extracting #10: cost 0 inf + 4695 12.679 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.679 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.680 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.680 * * [simplify]: iters left: 6 (16 enodes) 12.687 * * [simplify]: iters left: 5 (54 enodes) 12.704 * * [simplify]: iters left: 4 (61 enodes) 12.721 * * [simplify]: Extracting #0: cost 1 inf + 0 12.721 * * [simplify]: Extracting #1: cost 4 inf + 0 12.721 * * [simplify]: Extracting #2: cost 8 inf + 0 12.721 * * [simplify]: Extracting #3: cost 14 inf + 0 12.721 * * [simplify]: Extracting #4: cost 21 inf + 0 12.721 * * [simplify]: Extracting #5: cost 26 inf + 42 12.721 * * [simplify]: Extracting #6: cost 20 inf + 696 12.722 * * [simplify]: Extracting #7: cost 13 inf + 1590 12.723 * * [simplify]: Extracting #8: cost 10 inf + 1915 12.724 * * [simplify]: Extracting #9: cost 4 inf + 3207 12.725 * * [simplify]: Extracting #10: cost 1 inf + 4334 12.727 * * [simplify]: Extracting #11: cost 0 inf + 4857 12.728 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.728 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.729 * * * * [progress]: [ 85 / 149 ] simplifiying candidate # 12.729 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt 1)) 12.729 * * [simplify]: iters left: 6 (13 enodes) 12.735 * * [simplify]: iters left: 5 (43 enodes) 12.743 * * [simplify]: iters left: 4 (45 enodes) 12.749 * * [simplify]: iters left: 3 (47 enodes) 12.755 * * [simplify]: Extracting #0: cost 1 inf + 0 12.755 * * [simplify]: Extracting #1: cost 4 inf + 0 12.755 * * [simplify]: Extracting #2: cost 6 inf + 1 12.755 * * [simplify]: Extracting #3: cost 10 inf + 1 12.755 * * [simplify]: Extracting #4: cost 11 inf + 2 12.755 * * [simplify]: Extracting #5: cost 13 inf + 43 12.755 * * [simplify]: Extracting #6: cost 14 inf + 125 12.755 * * [simplify]: Extracting #7: cost 11 inf + 208 12.755 * * [simplify]: Extracting #8: cost 8 inf + 533 12.756 * * [simplify]: Extracting #9: cost 3 inf + 1623 12.756 * * [simplify]: Extracting #10: cost 0 inf + 2429 12.756 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 12.757 * [simplify]: Simplified (2 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 (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.757 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 12.757 * * [simplify]: iters left: 6 (15 enodes) 12.760 * * [simplify]: iters left: 5 (51 enodes) 12.770 * * [simplify]: iters left: 4 (58 enodes) 12.778 * * [simplify]: Extracting #0: cost 1 inf + 0 12.778 * * [simplify]: Extracting #1: cost 4 inf + 0 12.778 * * [simplify]: Extracting #2: cost 8 inf + 0 12.778 * * [simplify]: Extracting #3: cost 14 inf + 0 12.778 * * [simplify]: Extracting #4: cost 24 inf + 0 12.778 * * [simplify]: Extracting #5: cost 18 inf + 656 12.778 * * [simplify]: Extracting #6: cost 13 inf + 1145 12.778 * * [simplify]: Extracting #7: cost 13 inf + 1186 12.779 * * [simplify]: Extracting #8: cost 9 inf + 1633 12.779 * * [simplify]: Extracting #9: cost 3 inf + 3085 12.780 * * [simplify]: Extracting #10: cost 0 inf + 4373 12.780 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 12.781 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.781 * * * * [progress]: [ 86 / 149 ] simplifiying candidate # 12.781 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.781 * * [simplify]: iters left: 6 (16 enodes) 12.784 * * [simplify]: iters left: 5 (53 enodes) 12.792 * * [simplify]: iters left: 4 (57 enodes) 12.801 * * [simplify]: Extracting #0: cost 1 inf + 0 12.801 * * [simplify]: Extracting #1: cost 4 inf + 0 12.801 * * [simplify]: Extracting #2: cost 8 inf + 0 12.801 * * [simplify]: Extracting #3: cost 13 inf + 0 12.802 * * [simplify]: Extracting #4: cost 19 inf + 0 12.802 * * [simplify]: Extracting #5: cost 24 inf + 42 12.802 * * [simplify]: Extracting #6: cost 18 inf + 738 12.802 * * [simplify]: Extracting #7: cost 13 inf + 1428 12.802 * * [simplify]: Extracting #8: cost 9 inf + 1875 12.803 * * [simplify]: Extracting #9: cost 3 inf + 3327 12.804 * * [simplify]: Extracting #10: cost 0 inf + 4695 12.804 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.804 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.805 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.805 * * [simplify]: iters left: 6 (16 enodes) 12.810 * * [simplify]: iters left: 5 (54 enodes) 12.825 * * [simplify]: iters left: 4 (61 enodes) 12.841 * * [simplify]: Extracting #0: cost 1 inf + 0 12.841 * * [simplify]: Extracting #1: cost 4 inf + 0 12.841 * * [simplify]: Extracting #2: cost 8 inf + 0 12.841 * * [simplify]: Extracting #3: cost 14 inf + 0 12.841 * * [simplify]: Extracting #4: cost 21 inf + 0 12.841 * * [simplify]: Extracting #5: cost 26 inf + 42 12.842 * * [simplify]: Extracting #6: cost 20 inf + 696 12.842 * * [simplify]: Extracting #7: cost 13 inf + 1590 12.843 * * [simplify]: Extracting #8: cost 10 inf + 1915 12.843 * * [simplify]: Extracting #9: cost 4 inf + 3207 12.844 * * [simplify]: Extracting #10: cost 1 inf + 4334 12.845 * * [simplify]: Extracting #11: cost 0 inf + 4857 12.845 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.845 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.846 * * * * [progress]: [ 87 / 149 ] simplifiying candidate # 12.846 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 1) 12.846 * * [simplify]: iters left: 6 (12 enodes) 12.849 * * [simplify]: iters left: 5 (38 enodes) 12.854 * * [simplify]: iters left: 4 (40 enodes) 12.859 * * [simplify]: Extracting #0: cost 1 inf + 0 12.859 * * [simplify]: Extracting #1: cost 4 inf + 0 12.859 * * [simplify]: Extracting #2: cost 6 inf + 1 12.860 * * [simplify]: Extracting #3: cost 10 inf + 1 12.860 * * [simplify]: Extracting #4: cost 10 inf + 43 12.860 * * [simplify]: Extracting #5: cost 12 inf + 84 12.860 * * [simplify]: Extracting #6: cost 14 inf + 125 12.860 * * [simplify]: Extracting #7: cost 11 inf + 208 12.860 * * [simplify]: Extracting #8: cost 6 inf + 817 12.860 * * [simplify]: Extracting #9: cost 1 inf + 2107 12.861 * * [simplify]: Extracting #10: cost 0 inf + 2429 12.861 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 12.861 * [simplify]: Simplified (2 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 (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.861 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 12.861 * * [simplify]: iters left: 6 (15 enodes) 12.865 * * [simplify]: iters left: 5 (51 enodes) 12.872 * * [simplify]: iters left: 4 (58 enodes) 12.880 * * [simplify]: Extracting #0: cost 1 inf + 0 12.880 * * [simplify]: Extracting #1: cost 4 inf + 0 12.880 * * [simplify]: Extracting #2: cost 8 inf + 0 12.880 * * [simplify]: Extracting #3: cost 14 inf + 0 12.880 * * [simplify]: Extracting #4: cost 24 inf + 0 12.880 * * [simplify]: Extracting #5: cost 18 inf + 656 12.880 * * [simplify]: Extracting #6: cost 13 inf + 1145 12.881 * * [simplify]: Extracting #7: cost 13 inf + 1186 12.881 * * [simplify]: Extracting #8: cost 9 inf + 1633 12.881 * * [simplify]: Extracting #9: cost 3 inf + 3085 12.882 * * [simplify]: Extracting #10: cost 0 inf + 4373 12.883 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 12.883 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 12.883 * * * * [progress]: [ 88 / 149 ] simplifiying candidate # 12.883 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 12.883 * * [simplify]: iters left: 6 (17 enodes) 12.887 * * [simplify]: iters left: 5 (58 enodes) 12.897 * * [simplify]: iters left: 4 (64 enodes) 12.914 * * [simplify]: Extracting #0: cost 1 inf + 0 12.914 * * [simplify]: Extracting #1: cost 6 inf + 0 12.914 * * [simplify]: Extracting #2: cost 12 inf + 0 12.914 * * [simplify]: Extracting #3: cost 17 inf + 0 12.915 * * [simplify]: Extracting #4: cost 23 inf + 0 12.915 * * [simplify]: Extracting #5: cost 29 inf + 1 12.915 * * [simplify]: Extracting #6: cost 23 inf + 616 12.916 * * [simplify]: Extracting #7: cost 15 inf + 2072 12.916 * * [simplify]: Extracting #8: cost 12 inf + 2397 12.917 * * [simplify]: Extracting #9: cost 6 inf + 3689 12.919 * * [simplify]: Extracting #10: cost 0 inf + 6625 12.921 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 12.921 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.922 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.922 * * [simplify]: iters left: 6 (16 enodes) 12.926 * * [simplify]: iters left: 5 (54 enodes) 12.933 * * [simplify]: iters left: 4 (61 enodes) 12.941 * * [simplify]: Extracting #0: cost 1 inf + 0 12.941 * * [simplify]: Extracting #1: cost 4 inf + 0 12.941 * * [simplify]: Extracting #2: cost 8 inf + 0 12.941 * * [simplify]: Extracting #3: cost 14 inf + 0 12.941 * * [simplify]: Extracting #4: cost 21 inf + 0 12.941 * * [simplify]: Extracting #5: cost 26 inf + 42 12.941 * * [simplify]: Extracting #6: cost 20 inf + 696 12.942 * * [simplify]: Extracting #7: cost 13 inf + 1670 12.942 * * [simplify]: Extracting #8: cost 10 inf + 1995 12.943 * * [simplify]: Extracting #9: cost 4 inf + 3287 12.943 * * [simplify]: Extracting #10: cost 1 inf + 4454 12.944 * * [simplify]: Extracting #11: cost 0 inf + 5017 12.945 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 12.945 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 12.945 * * * * [progress]: [ 89 / 149 ] simplifiying candidate # 12.945 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 12.945 * * [simplify]: iters left: 6 (17 enodes) 12.949 * * [simplify]: iters left: 5 (57 enodes) 12.957 * * [simplify]: iters left: 4 (61 enodes) 12.970 * * [simplify]: Extracting #0: cost 1 inf + 0 12.970 * * [simplify]: Extracting #1: cost 4 inf + 0 12.971 * * [simplify]: Extracting #2: cost 9 inf + 0 12.972 * * [simplify]: Extracting #3: cost 15 inf + 0 12.972 * * [simplify]: Extracting #4: cost 21 inf + 0 12.972 * * [simplify]: Extracting #5: cost 26 inf + 42 12.972 * * [simplify]: Extracting #6: cost 21 inf + 656 12.973 * * [simplify]: Extracting #7: cost 13 inf + 2072 12.974 * * [simplify]: Extracting #8: cost 10 inf + 2397 12.975 * * [simplify]: Extracting #9: cost 4 inf + 3689 12.976 * * [simplify]: Extracting #10: cost 1 inf + 4896 12.978 * * [simplify]: Extracting #11: cost 0 inf + 5499 12.979 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (* im (* im 2.0)))))) 12.980 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (* im (* im 2.0)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 12.980 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 12.980 * * [simplify]: iters left: 6 (16 enodes) 12.987 * * [simplify]: iters left: 5 (54 enodes) 13.004 * * [simplify]: iters left: 4 (61 enodes) 13.012 * * [simplify]: Extracting #0: cost 1 inf + 0 13.012 * * [simplify]: Extracting #1: cost 4 inf + 0 13.012 * * [simplify]: Extracting #2: cost 8 inf + 0 13.012 * * [simplify]: Extracting #3: cost 14 inf + 0 13.012 * * [simplify]: Extracting #4: cost 21 inf + 0 13.012 * * [simplify]: Extracting #5: cost 26 inf + 42 13.012 * * [simplify]: Extracting #6: cost 20 inf + 736 13.013 * * [simplify]: Extracting #7: cost 13 inf + 1750 13.013 * * [simplify]: Extracting #8: cost 10 inf + 2075 13.013 * * [simplify]: Extracting #9: cost 4 inf + 3367 13.014 * * [simplify]: Extracting #10: cost 1 inf + 4534 13.015 * * [simplify]: Extracting #11: cost 0 inf + 5097 13.016 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 13.016 * [simplify]: Simplified (2 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 (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 13.016 * * * * [progress]: [ 90 / 149 ] simplifiying candidate # 13.016 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt 2.0))) 13.016 * * [simplify]: iters left: 6 (14 enodes) 13.019 * * [simplify]: iters left: 5 (44 enodes) 13.025 * * [simplify]: Extracting #0: cost 1 inf + 0 13.026 * * [simplify]: Extracting #1: cost 4 inf + 0 13.026 * * [simplify]: Extracting #2: cost 8 inf + 0 13.026 * * [simplify]: Extracting #3: cost 13 inf + 0 13.026 * * [simplify]: Extracting #4: cost 15 inf + 42 13.026 * * [simplify]: Extracting #5: cost 11 inf + 328 13.026 * * [simplify]: Extracting #6: cost 14 inf + 328 13.026 * * [simplify]: Extracting #7: cost 16 inf + 369 13.026 * * [simplify]: Extracting #8: cost 9 inf + 899 13.026 * * [simplify]: Extracting #9: cost 2 inf + 2794 13.027 * * [simplify]: Extracting #10: cost 0 inf + 3559 13.028 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt 2.0))) 13.028 * [simplify]: Simplified (2 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))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* im im)))))))) 13.028 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* im im)))) 13.028 * * [simplify]: iters left: 6 (13 enodes) 13.030 * * [simplify]: iters left: 5 (43 enodes) 13.037 * * [simplify]: iters left: 4 (46 enodes) 13.049 * * [simplify]: Extracting #0: cost 1 inf + 0 13.049 * * [simplify]: Extracting #1: cost 4 inf + 0 13.049 * * [simplify]: Extracting #2: cost 8 inf + 0 13.049 * * [simplify]: Extracting #3: cost 15 inf + 0 13.049 * * [simplify]: Extracting #4: cost 16 inf + 205 13.049 * * [simplify]: Extracting #5: cost 15 inf + 328 13.049 * * [simplify]: Extracting #6: cost 16 inf + 369 13.050 * * [simplify]: Extracting #7: cost 13 inf + 613 13.050 * * [simplify]: Extracting #8: cost 9 inf + 1100 13.051 * * [simplify]: Extracting #9: cost 4 inf + 2230 13.052 * * [simplify]: Extracting #10: cost 1 inf + 3276 13.053 * * [simplify]: Extracting #11: cost 0 inf + 3718 13.054 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (fabs im))) 13.054 * [simplify]: Simplified (2 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))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (fabs im))))))) 13.055 * * * * [progress]: [ 91 / 149 ] simplifiying candidate # 13.055 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.055 * * [simplify]: iters left: 6 (16 enodes) 13.062 * * [simplify]: iters left: 5 (53 enodes) 13.077 * * [simplify]: iters left: 4 (57 enodes) 13.092 * * [simplify]: Extracting #0: cost 1 inf + 0 13.092 * * [simplify]: Extracting #1: cost 4 inf + 0 13.092 * * [simplify]: Extracting #2: cost 8 inf + 0 13.092 * * [simplify]: Extracting #3: cost 13 inf + 0 13.092 * * [simplify]: Extracting #4: cost 19 inf + 0 13.092 * * [simplify]: Extracting #5: cost 24 inf + 42 13.093 * * [simplify]: Extracting #6: cost 18 inf + 738 13.093 * * [simplify]: Extracting #7: cost 13 inf + 1428 13.094 * * [simplify]: Extracting #8: cost 9 inf + 1875 13.095 * * [simplify]: Extracting #9: cost 3 inf + 3327 13.096 * * [simplify]: Extracting #10: cost 0 inf + 4695 13.098 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.098 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.098 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.098 * * [simplify]: iters left: 6 (16 enodes) 13.106 * * [simplify]: iters left: 5 (54 enodes) 13.123 * * [simplify]: iters left: 4 (61 enodes) 13.139 * * [simplify]: Extracting #0: cost 1 inf + 0 13.139 * * [simplify]: Extracting #1: cost 4 inf + 0 13.139 * * [simplify]: Extracting #2: cost 8 inf + 0 13.139 * * [simplify]: Extracting #3: cost 14 inf + 0 13.139 * * [simplify]: Extracting #4: cost 21 inf + 0 13.139 * * [simplify]: Extracting #5: cost 26 inf + 42 13.139 * * [simplify]: Extracting #6: cost 20 inf + 696 13.140 * * [simplify]: Extracting #7: cost 13 inf + 1590 13.141 * * [simplify]: Extracting #8: cost 10 inf + 1915 13.142 * * [simplify]: Extracting #9: cost 4 inf + 3207 13.143 * * [simplify]: Extracting #10: cost 1 inf + 4334 13.145 * * [simplify]: Extracting #11: cost 0 inf + 4857 13.146 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.147 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.147 * * * * [progress]: [ 92 / 149 ] simplifiying candidate # 13.147 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt 1)) 13.147 * * [simplify]: iters left: 6 (13 enodes) 13.154 * * [simplify]: iters left: 5 (43 enodes) 13.166 * * [simplify]: iters left: 4 (45 enodes) 13.178 * * [simplify]: iters left: 3 (47 enodes) 13.189 * * [simplify]: Extracting #0: cost 1 inf + 0 13.190 * * [simplify]: Extracting #1: cost 4 inf + 0 13.190 * * [simplify]: Extracting #2: cost 6 inf + 1 13.190 * * [simplify]: Extracting #3: cost 10 inf + 1 13.190 * * [simplify]: Extracting #4: cost 11 inf + 2 13.190 * * [simplify]: Extracting #5: cost 13 inf + 43 13.190 * * [simplify]: Extracting #6: cost 14 inf + 125 13.190 * * [simplify]: Extracting #7: cost 11 inf + 208 13.190 * * [simplify]: Extracting #8: cost 8 inf + 533 13.191 * * [simplify]: Extracting #9: cost 3 inf + 1623 13.192 * * [simplify]: Extracting #10: cost 0 inf + 2429 13.193 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 13.193 * [simplify]: Simplified (2 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 (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.193 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 13.193 * * [simplify]: iters left: 6 (15 enodes) 13.200 * * [simplify]: iters left: 5 (51 enodes) 13.215 * * [simplify]: iters left: 4 (58 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 8 inf + 0 13.232 * * [simplify]: Extracting #3: cost 14 inf + 0 13.232 * * [simplify]: Extracting #4: cost 24 inf + 0 13.232 * * [simplify]: Extracting #5: cost 18 inf + 656 13.232 * * [simplify]: Extracting #6: cost 13 inf + 1145 13.233 * * [simplify]: Extracting #7: cost 13 inf + 1186 13.234 * * [simplify]: Extracting #8: cost 9 inf + 1633 13.234 * * [simplify]: Extracting #9: cost 3 inf + 3085 13.236 * * [simplify]: Extracting #10: cost 0 inf + 4373 13.237 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 13.237 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.237 * * * * [progress]: [ 93 / 149 ] simplifiying candidate # 13.238 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.238 * * [simplify]: iters left: 6 (16 enodes) 13.245 * * [simplify]: iters left: 5 (53 enodes) 13.260 * * [simplify]: iters left: 4 (57 enodes) 13.277 * * [simplify]: Extracting #0: cost 1 inf + 0 13.277 * * [simplify]: Extracting #1: cost 4 inf + 0 13.278 * * [simplify]: Extracting #2: cost 8 inf + 0 13.278 * * [simplify]: Extracting #3: cost 13 inf + 0 13.278 * * [simplify]: Extracting #4: cost 19 inf + 0 13.278 * * [simplify]: Extracting #5: cost 24 inf + 42 13.278 * * [simplify]: Extracting #6: cost 18 inf + 738 13.279 * * [simplify]: Extracting #7: cost 13 inf + 1428 13.279 * * [simplify]: Extracting #8: cost 9 inf + 1875 13.280 * * [simplify]: Extracting #9: cost 3 inf + 3327 13.282 * * [simplify]: Extracting #10: cost 0 inf + 4695 13.283 * [simplify]: Simplified to (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.283 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.284 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.284 * * [simplify]: iters left: 6 (16 enodes) 13.291 * * [simplify]: iters left: 5 (54 enodes) 13.305 * * [simplify]: iters left: 4 (61 enodes) 13.322 * * [simplify]: Extracting #0: cost 1 inf + 0 13.322 * * [simplify]: Extracting #1: cost 4 inf + 0 13.322 * * [simplify]: Extracting #2: cost 8 inf + 0 13.322 * * [simplify]: Extracting #3: cost 14 inf + 0 13.322 * * [simplify]: Extracting #4: cost 21 inf + 0 13.322 * * [simplify]: Extracting #5: cost 26 inf + 42 13.323 * * [simplify]: Extracting #6: cost 20 inf + 696 13.323 * * [simplify]: Extracting #7: cost 13 inf + 1590 13.324 * * [simplify]: Extracting #8: cost 10 inf + 1915 13.325 * * [simplify]: Extracting #9: cost 4 inf + 3207 13.326 * * [simplify]: Extracting #10: cost 1 inf + 4334 13.328 * * [simplify]: Extracting #11: cost 0 inf + 4857 13.329 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.329 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.330 * * * * [progress]: [ 94 / 149 ] simplifiying candidate # 13.330 * [simplify]: Simplifying (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 1) 13.330 * * [simplify]: iters left: 6 (12 enodes) 13.336 * * [simplify]: iters left: 5 (38 enodes) 13.343 * * [simplify]: iters left: 4 (40 enodes) 13.348 * * [simplify]: Extracting #0: cost 1 inf + 0 13.348 * * [simplify]: Extracting #1: cost 4 inf + 0 13.348 * * [simplify]: Extracting #2: cost 6 inf + 1 13.348 * * [simplify]: Extracting #3: cost 10 inf + 1 13.348 * * [simplify]: Extracting #4: cost 10 inf + 43 13.348 * * [simplify]: Extracting #5: cost 12 inf + 84 13.348 * * [simplify]: Extracting #6: cost 14 inf + 125 13.348 * * [simplify]: Extracting #7: cost 11 inf + 208 13.348 * * [simplify]: Extracting #8: cost 6 inf + 817 13.349 * * [simplify]: Extracting #9: cost 1 inf + 2107 13.349 * * [simplify]: Extracting #10: cost 0 inf + 2429 13.350 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 13.350 * [simplify]: Simplified (2 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 (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.350 * [simplify]: Simplifying (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 13.350 * * [simplify]: iters left: 6 (15 enodes) 13.354 * * [simplify]: iters left: 5 (51 enodes) 13.361 * * [simplify]: iters left: 4 (58 enodes) 13.368 * * [simplify]: Extracting #0: cost 1 inf + 0 13.368 * * [simplify]: Extracting #1: cost 4 inf + 0 13.368 * * [simplify]: Extracting #2: cost 8 inf + 0 13.368 * * [simplify]: Extracting #3: cost 14 inf + 0 13.368 * * [simplify]: Extracting #4: cost 24 inf + 0 13.369 * * [simplify]: Extracting #5: cost 18 inf + 656 13.369 * * [simplify]: Extracting #6: cost 13 inf + 1145 13.369 * * [simplify]: Extracting #7: cost 13 inf + 1186 13.369 * * [simplify]: Extracting #8: cost 9 inf + 1633 13.370 * * [simplify]: Extracting #9: cost 3 inf + 3085 13.370 * * [simplify]: Extracting #10: cost 0 inf + 4373 13.371 * [simplify]: Simplified to (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))) 13.371 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.371 * * * * [progress]: [ 95 / 149 ] simplifiying candidate # 13.371 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 13.372 * * [simplify]: iters left: 6 (11 enodes) 13.375 * * [simplify]: iters left: 5 (40 enodes) 13.382 * * [simplify]: iters left: 4 (51 enodes) 13.389 * * [simplify]: iters left: 3 (53 enodes) 13.397 * * [simplify]: Extracting #0: cost 1 inf + 0 13.397 * * [simplify]: Extracting #1: cost 7 inf + 0 13.397 * * [simplify]: Extracting #2: cost 11 inf + 1 13.397 * * [simplify]: Extracting #3: cost 13 inf + 1 13.397 * * [simplify]: Extracting #4: cost 15 inf + 1 13.397 * * [simplify]: Extracting #5: cost 20 inf + 1 13.397 * * [simplify]: Extracting #6: cost 19 inf + 45 13.397 * * [simplify]: Extracting #7: cost 15 inf + 251 13.397 * * [simplify]: Extracting #8: cost 11 inf + 739 13.398 * * [simplify]: Extracting #9: cost 3 inf + 2839 13.398 * * [simplify]: Extracting #10: cost 0 inf + 3727 13.399 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (* (* im im) 2.0))))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) 13.399 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (/ 1 (cbrt (sqrt (sqrt (* (* im im) 2.0))))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.399 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.399 * * [simplify]: iters left: 6 (14 enodes) 13.402 * * [simplify]: iters left: 5 (48 enodes) 13.409 * * [simplify]: iters left: 4 (55 enodes) 13.418 * * [simplify]: Extracting #0: cost 1 inf + 0 13.418 * * [simplify]: Extracting #1: cost 4 inf + 0 13.418 * * [simplify]: Extracting #2: cost 8 inf + 0 13.418 * * [simplify]: Extracting #3: cost 14 inf + 0 13.418 * * [simplify]: Extracting #4: cost 18 inf + 1 13.418 * * [simplify]: Extracting #5: cost 23 inf + 83 13.418 * * [simplify]: Extracting #6: cost 21 inf + 249 13.419 * * [simplify]: Extracting #7: cost 8 inf + 1793 13.420 * * [simplify]: Extracting #8: cost 2 inf + 3246 13.421 * * [simplify]: Extracting #9: cost 0 inf + 3971 13.422 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.422 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.423 * * * * [progress]: [ 96 / 149 ] simplifiying candidate # 13.423 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 13.423 * * [simplify]: iters left: 6 (11 enodes) 13.429 * * [simplify]: iters left: 5 (39 enodes) 13.441 * * [simplify]: iters left: 4 (45 enodes) 13.454 * * [simplify]: Extracting #0: cost 1 inf + 0 13.454 * * [simplify]: Extracting #1: cost 4 inf + 0 13.454 * * [simplify]: Extracting #2: cost 6 inf + 1 13.454 * * [simplify]: Extracting #3: cost 9 inf + 1 13.454 * * [simplify]: Extracting #4: cost 11 inf + 1 13.454 * * [simplify]: Extracting #5: cost 16 inf + 1 13.454 * * [simplify]: Extracting #6: cost 16 inf + 3 13.454 * * [simplify]: Extracting #7: cost 11 inf + 291 13.455 * * [simplify]: Extracting #8: cost 4 inf + 1465 13.456 * * [simplify]: Extracting #9: cost 1 inf + 2232 13.456 * * [simplify]: Extracting #10: cost 0 inf + 2515 13.457 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt (* (* 2.0 im) im))))) 13.457 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (fabs (cbrt (sqrt (* (* 2.0 im) im))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 13.458 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 13.458 * * [simplify]: iters left: 6 (14 enodes) 13.464 * * [simplify]: iters left: 5 (48 enodes) 13.475 * * [simplify]: iters left: 4 (55 enodes) 13.482 * * [simplify]: Extracting #0: cost 1 inf + 0 13.482 * * [simplify]: Extracting #1: cost 4 inf + 0 13.482 * * [simplify]: Extracting #2: cost 8 inf + 0 13.482 * * [simplify]: Extracting #3: cost 14 inf + 0 13.482 * * [simplify]: Extracting #4: cost 18 inf + 1 13.482 * * [simplify]: Extracting #5: cost 23 inf + 83 13.484 * * [simplify]: Extracting #6: cost 21 inf + 249 13.484 * * [simplify]: Extracting #7: cost 8 inf + 1833 13.485 * * [simplify]: Extracting #8: cost 2 inf + 3326 13.486 * * [simplify]: Extracting #9: cost 0 inf + 4051 13.486 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 13.486 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 13.487 * * * * [progress]: [ 97 / 149 ] simplifiying candidate # 13.487 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 2.0))) 13.487 * * [simplify]: iters left: 4 (6 enodes) 13.490 * * [simplify]: iters left: 3 (20 enodes) 13.493 * * [simplify]: iters left: 2 (22 enodes) 13.496 * * [simplify]: Extracting #0: cost 1 inf + 0 13.497 * * [simplify]: Extracting #1: cost 4 inf + 0 13.497 * * [simplify]: Extracting #2: cost 5 inf + 1 13.497 * * [simplify]: Extracting #3: cost 7 inf + 1 13.497 * * [simplify]: Extracting #4: cost 1 inf + 368 13.497 * * [simplify]: Extracting #5: cost 0 inf + 490 13.497 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2.0))) 13.497 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im im)))))))) 13.497 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im im)))) 13.497 * * [simplify]: iters left: 6 (11 enodes) 13.499 * * [simplify]: iters left: 5 (37 enodes) 13.504 * * [simplify]: iters left: 4 (40 enodes) 13.509 * * [simplify]: Extracting #0: cost 1 inf + 0 13.509 * * [simplify]: Extracting #1: cost 4 inf + 0 13.509 * * [simplify]: Extracting #2: cost 8 inf + 0 13.509 * * [simplify]: Extracting #3: cost 15 inf + 0 13.509 * * [simplify]: Extracting #4: cost 12 inf + 287 13.509 * * [simplify]: Extracting #5: cost 11 inf + 410 13.509 * * [simplify]: Extracting #6: cost 11 inf + 451 13.510 * * [simplify]: Extracting #7: cost 6 inf + 1060 13.510 * * [simplify]: Extracting #8: cost 2 inf + 1948 13.510 * * [simplify]: Extracting #9: cost 1 inf + 2310 13.511 * * [simplify]: Extracting #10: cost 0 inf + 2672 13.511 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) 13.511 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))))))) 13.511 * * * * [progress]: [ 98 / 149 ] simplifiying candidate # 13.511 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.512 * * [simplify]: iters left: 6 (10 enodes) 13.515 * * [simplify]: iters left: 5 (35 enodes) 13.520 * * [simplify]: iters left: 4 (41 enodes) 13.526 * * [simplify]: Extracting #0: cost 1 inf + 0 13.526 * * [simplify]: Extracting #1: cost 4 inf + 0 13.526 * * [simplify]: Extracting #2: cost 5 inf + 1 13.526 * * [simplify]: Extracting #3: cost 7 inf + 1 13.526 * * [simplify]: Extracting #4: cost 9 inf + 1 13.526 * * [simplify]: Extracting #5: cost 14 inf + 1 13.526 * * [simplify]: Extracting #6: cost 14 inf + 3 13.526 * * [simplify]: Extracting #7: cost 9 inf + 291 13.526 * * [simplify]: Extracting #8: cost 4 inf + 901 13.527 * * [simplify]: Extracting #9: cost 0 inf + 1791 13.527 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 13.527 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.527 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.527 * * [simplify]: iters left: 6 (14 enodes) 13.530 * * [simplify]: iters left: 5 (48 enodes) 13.545 * * [simplify]: iters left: 4 (55 enodes) 13.560 * * [simplify]: Extracting #0: cost 1 inf + 0 13.560 * * [simplify]: Extracting #1: cost 4 inf + 0 13.560 * * [simplify]: Extracting #2: cost 8 inf + 0 13.560 * * [simplify]: Extracting #3: cost 14 inf + 0 13.560 * * [simplify]: Extracting #4: cost 18 inf + 1 13.560 * * [simplify]: Extracting #5: cost 23 inf + 83 13.560 * * [simplify]: Extracting #6: cost 21 inf + 249 13.561 * * [simplify]: Extracting #7: cost 8 inf + 1713 13.562 * * [simplify]: Extracting #8: cost 2 inf + 3126 13.563 * * [simplify]: Extracting #9: cost 0 inf + 3811 13.564 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.564 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.564 * * * * [progress]: [ 99 / 149 ] simplifiying candidate # 13.564 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 13.565 * * [simplify]: iters left: 3 (3 enodes) 13.568 * * [simplify]: iters left: 2 (9 enodes) 13.570 * * [simplify]: iters left: 1 (11 enodes) 13.572 * * [simplify]: Extracting #0: cost 1 inf + 0 13.572 * * [simplify]: Extracting #1: cost 0 inf + 1 13.572 * [simplify]: Simplified to 1 13.572 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.573 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 13.573 * * [simplify]: iters left: 6 (13 enodes) 13.578 * * [simplify]: iters left: 5 (45 enodes) 13.593 * * [simplify]: iters left: 4 (52 enodes) 13.606 * * [simplify]: Extracting #0: cost 1 inf + 0 13.606 * * [simplify]: Extracting #1: cost 4 inf + 0 13.606 * * [simplify]: Extracting #2: cost 8 inf + 0 13.606 * * [simplify]: Extracting #3: cost 14 inf + 0 13.606 * * [simplify]: Extracting #4: cost 21 inf + 1 13.607 * * [simplify]: Extracting #5: cost 18 inf + 291 13.607 * * [simplify]: Extracting #6: cost 11 inf + 1024 13.607 * * [simplify]: Extracting #7: cost 8 inf + 1349 13.608 * * [simplify]: Extracting #8: cost 1 inf + 2924 13.609 * * [simplify]: Extracting #9: cost 0 inf + 3327 13.610 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 13.610 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.610 * * * * [progress]: [ 100 / 149 ] simplifiying candidate # 13.611 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.611 * * [simplify]: iters left: 6 (10 enodes) 13.616 * * [simplify]: iters left: 5 (35 enodes) 13.625 * * [simplify]: iters left: 4 (41 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 5 inf + 1 13.636 * * [simplify]: Extracting #3: cost 7 inf + 1 13.636 * * [simplify]: Extracting #4: cost 9 inf + 1 13.636 * * [simplify]: Extracting #5: cost 14 inf + 1 13.636 * * [simplify]: Extracting #6: cost 14 inf + 3 13.636 * * [simplify]: Extracting #7: cost 9 inf + 291 13.636 * * [simplify]: Extracting #8: cost 4 inf + 901 13.637 * * [simplify]: Extracting #9: cost 0 inf + 1791 13.637 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 13.637 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.638 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.638 * * [simplify]: iters left: 6 (14 enodes) 13.644 * * [simplify]: iters left: 5 (48 enodes) 13.656 * * [simplify]: iters left: 4 (55 enodes) 13.664 * * [simplify]: Extracting #0: cost 1 inf + 0 13.664 * * [simplify]: Extracting #1: cost 4 inf + 0 13.665 * * [simplify]: Extracting #2: cost 8 inf + 0 13.665 * * [simplify]: Extracting #3: cost 14 inf + 0 13.665 * * [simplify]: Extracting #4: cost 18 inf + 1 13.665 * * [simplify]: Extracting #5: cost 23 inf + 83 13.665 * * [simplify]: Extracting #6: cost 21 inf + 249 13.665 * * [simplify]: Extracting #7: cost 8 inf + 1713 13.666 * * [simplify]: Extracting #8: cost 2 inf + 3126 13.666 * * [simplify]: Extracting #9: cost 0 inf + 3811 13.667 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.667 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.667 * * * * [progress]: [ 101 / 149 ] simplifiying candidate # 13.667 * [simplify]: Simplifying (/ (sqrt 1) 1) 13.667 * * [simplify]: iters left: 3 (3 enodes) 13.669 * * [simplify]: iters left: 2 (9 enodes) 13.671 * * [simplify]: iters left: 1 (11 enodes) 13.672 * * [simplify]: Extracting #0: cost 1 inf + 0 13.672 * * [simplify]: Extracting #1: cost 0 inf + 1 13.672 * [simplify]: Simplified to 1 13.672 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.673 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 13.673 * * [simplify]: iters left: 6 (13 enodes) 13.676 * * [simplify]: iters left: 5 (45 enodes) 13.682 * * [simplify]: iters left: 4 (52 enodes) 13.689 * * [simplify]: Extracting #0: cost 1 inf + 0 13.689 * * [simplify]: Extracting #1: cost 4 inf + 0 13.690 * * [simplify]: Extracting #2: cost 8 inf + 0 13.690 * * [simplify]: Extracting #3: cost 14 inf + 0 13.690 * * [simplify]: Extracting #4: cost 21 inf + 1 13.690 * * [simplify]: Extracting #5: cost 18 inf + 291 13.690 * * [simplify]: Extracting #6: cost 11 inf + 1024 13.690 * * [simplify]: Extracting #7: cost 8 inf + 1349 13.691 * * [simplify]: Extracting #8: cost 1 inf + 2924 13.691 * * [simplify]: Extracting #9: cost 0 inf + 3327 13.692 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 13.692 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 13.692 * * * * [progress]: [ 102 / 149 ] simplifiying candidate # 13.692 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 13.692 * * [simplify]: iters left: 6 (16 enodes) 13.696 * * [simplify]: iters left: 5 (56 enodes) 13.706 * * [simplify]: iters left: 4 (65 enodes) 13.714 * * [simplify]: Extracting #0: cost 1 inf + 0 13.714 * * [simplify]: Extracting #1: cost 6 inf + 0 13.715 * * [simplify]: Extracting #2: cost 12 inf + 0 13.715 * * [simplify]: Extracting #3: cost 16 inf + 0 13.715 * * [simplify]: Extracting #4: cost 22 inf + 0 13.715 * * [simplify]: Extracting #5: cost 28 inf + 42 13.715 * * [simplify]: Extracting #6: cost 28 inf + 126 13.715 * * [simplify]: Extracting #7: cost 18 inf + 1266 13.715 * * [simplify]: Extracting #8: cost 11 inf + 2519 13.716 * * [simplify]: Extracting #9: cost 4 inf + 4133 13.717 * * [simplify]: Extracting #10: cost 0 inf + 6305 13.718 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* (* im im) 2.0)))) (cbrt (sqrt (sqrt (* (* im im) 2.0)))))) 13.718 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* (* im im) 2.0)))) (cbrt (sqrt (sqrt (* (* im im) 2.0)))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.718 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.718 * * [simplify]: iters left: 6 (15 enodes) 13.721 * * [simplify]: iters left: 5 (51 enodes) 13.728 * * [simplify]: iters left: 4 (58 enodes) 13.737 * * [simplify]: Extracting #0: cost 1 inf + 0 13.737 * * [simplify]: Extracting #1: cost 4 inf + 0 13.737 * * [simplify]: Extracting #2: cost 8 inf + 0 13.737 * * [simplify]: Extracting #3: cost 12 inf + 0 13.737 * * [simplify]: Extracting #4: cost 18 inf + 0 13.737 * * [simplify]: Extracting #5: cost 25 inf + 1 13.737 * * [simplify]: Extracting #6: cost 24 inf + 126 13.738 * * [simplify]: Extracting #7: cost 15 inf + 1224 13.738 * * [simplify]: Extracting #8: cost 9 inf + 1955 13.739 * * [simplify]: Extracting #9: cost 2 inf + 3569 13.741 * * [simplify]: Extracting #10: cost 0 inf + 4615 13.742 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))) 13.742 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* (* im im) 2.0))))))))) 13.742 * * * * [progress]: [ 103 / 149 ] simplifiying candidate # 13.743 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 13.743 * * [simplify]: iters left: 6 (16 enodes) 13.750 * * [simplify]: iters left: 5 (55 enodes) 13.766 * * [simplify]: iters left: 4 (62 enodes) 13.775 * * [simplify]: Extracting #0: cost 1 inf + 0 13.775 * * [simplify]: Extracting #1: cost 4 inf + 0 13.775 * * [simplify]: Extracting #2: cost 9 inf + 0 13.775 * * [simplify]: Extracting #3: cost 14 inf + 0 13.775 * * [simplify]: Extracting #4: cost 20 inf + 0 13.775 * * [simplify]: Extracting #5: cost 27 inf + 1 13.775 * * [simplify]: Extracting #6: cost 26 inf + 126 13.775 * * [simplify]: Extracting #7: cost 16 inf + 1386 13.776 * * [simplify]: Extracting #8: cost 9 inf + 2559 13.776 * * [simplify]: Extracting #9: cost 3 inf + 3851 13.777 * * [simplify]: Extracting #10: cost 1 inf + 4656 13.777 * * [simplify]: Extracting #11: cost 0 inf + 5179 13.778 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs (cbrt (sqrt (* (* im im) 2.0))))) 13.778 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs (cbrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 13.779 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 13.779 * * [simplify]: iters left: 6 (15 enodes) 13.782 * * [simplify]: iters left: 5 (51 enodes) 13.791 * * [simplify]: iters left: 4 (58 enodes) 13.799 * * [simplify]: Extracting #0: cost 1 inf + 0 13.800 * * [simplify]: Extracting #1: cost 4 inf + 0 13.800 * * [simplify]: Extracting #2: cost 8 inf + 0 13.800 * * [simplify]: Extracting #3: cost 12 inf + 0 13.800 * * [simplify]: Extracting #4: cost 18 inf + 0 13.800 * * [simplify]: Extracting #5: cost 25 inf + 1 13.800 * * [simplify]: Extracting #6: cost 24 inf + 126 13.800 * * [simplify]: Extracting #7: cost 15 inf + 1304 13.801 * * [simplify]: Extracting #8: cost 9 inf + 2035 13.802 * * [simplify]: Extracting #9: cost 2 inf + 3649 13.803 * * [simplify]: Extracting #10: cost 0 inf + 4695 13.804 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))) 13.804 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* (* im im) 2.0))))))))) 13.805 * * * * [progress]: [ 104 / 149 ] simplifiying candidate # 13.806 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))) 13.806 * * [simplify]: iters left: 6 (13 enodes) 13.812 * * [simplify]: iters left: 5 (42 enodes) 13.824 * * [simplify]: iters left: 4 (45 enodes) 13.837 * * [simplify]: Extracting #0: cost 1 inf + 0 13.837 * * [simplify]: Extracting #1: cost 4 inf + 0 13.837 * * [simplify]: Extracting #2: cost 8 inf + 0 13.837 * * [simplify]: Extracting #3: cost 12 inf + 0 13.838 * * [simplify]: Extracting #4: cost 12 inf + 164 13.838 * * [simplify]: Extracting #5: cost 13 inf + 246 13.838 * * [simplify]: Extracting #6: cost 15 inf + 287 13.838 * * [simplify]: Extracting #7: cost 16 inf + 369 13.838 * * [simplify]: Extracting #8: cost 10 inf + 777 13.839 * * [simplify]: Extracting #9: cost 4 inf + 2190 13.840 * * [simplify]: Extracting #10: cost 0 inf + 3319 13.841 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))) 13.841 * [simplify]: Simplified (2 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))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))))))) 13.842 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* im im)))) 13.842 * * [simplify]: iters left: 6 (12 enodes) 13.847 * * [simplify]: iters left: 5 (40 enodes) 13.858 * * [simplify]: iters left: 4 (43 enodes) 13.869 * * [simplify]: Extracting #0: cost 1 inf + 0 13.869 * * [simplify]: Extracting #1: cost 4 inf + 0 13.869 * * [simplify]: Extracting #2: cost 8 inf + 0 13.869 * * [simplify]: Extracting #3: cost 13 inf + 0 13.870 * * [simplify]: Extracting #4: cost 15 inf + 83 13.870 * * [simplify]: Extracting #5: cost 13 inf + 328 13.870 * * [simplify]: Extracting #6: cost 14 inf + 369 13.870 * * [simplify]: Extracting #7: cost 13 inf + 451 13.870 * * [simplify]: Extracting #8: cost 9 inf + 898 13.871 * * [simplify]: Extracting #9: cost 3 inf + 2270 13.872 * * [simplify]: Extracting #10: cost 0 inf + 3316 13.873 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))) 13.873 * [simplify]: Simplified (2 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))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))))))) 13.873 * * * * [progress]: [ 105 / 149 ] simplifiying candidate # 13.873 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.873 * * [simplify]: iters left: 6 (15 enodes) 13.879 * * [simplify]: iters left: 5 (51 enodes) 13.892 * * [simplify]: iters left: 4 (58 enodes) 13.907 * * [simplify]: Extracting #0: cost 1 inf + 0 13.907 * * [simplify]: Extracting #1: cost 4 inf + 0 13.907 * * [simplify]: Extracting #2: cost 8 inf + 0 13.907 * * [simplify]: Extracting #3: cost 12 inf + 0 13.907 * * [simplify]: Extracting #4: cost 18 inf + 0 13.907 * * [simplify]: Extracting #5: cost 25 inf + 1 13.907 * * [simplify]: Extracting #6: cost 24 inf + 126 13.908 * * [simplify]: Extracting #7: cost 15 inf + 1184 13.908 * * [simplify]: Extracting #8: cost 9 inf + 1875 13.909 * * [simplify]: Extracting #9: cost 2 inf + 3489 13.911 * * [simplify]: Extracting #10: cost 0 inf + 4455 13.912 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 13.912 * [simplify]: Simplified (2 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 (sqrt (* (* im im) 2.0))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 13.913 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 13.913 * * [simplify]: iters left: 6 (15 enodes) 13.920 * * [simplify]: iters left: 5 (51 enodes) 13.937 * * [simplify]: iters left: 4 (58 enodes) 13.952 * * [simplify]: Extracting #0: cost 1 inf + 0 13.952 * * [simplify]: Extracting #1: cost 4 inf + 0 13.953 * * [simplify]: Extracting #2: cost 8 inf + 0 13.953 * * [simplify]: Extracting #3: cost 12 inf + 0 13.953 * * [simplify]: Extracting #4: cost 18 inf + 0 13.953 * * [simplify]: Extracting #5: cost 25 inf + 1 13.953 * * [simplify]: Extracting #6: cost 24 inf + 126 13.953 * * [simplify]: Extracting #7: cost 15 inf + 1184 13.954 * * [simplify]: Extracting #8: cost 9 inf + 1875 13.955 * * [simplify]: Extracting #9: cost 2 inf + 3489 13.956 * * [simplify]: Extracting #10: cost 0 inf + 4455 13.958 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 13.958 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 13.958 * * * * [progress]: [ 106 / 149 ] simplifiying candidate # 13.959 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 1)) 13.959 * * [simplify]: iters left: 6 (12 enodes) 13.966 * * [simplify]: iters left: 5 (41 enodes) 13.978 * * [simplify]: iters left: 4 (46 enodes) 13.990 * * [simplify]: iters left: 3 (48 enodes) 14.001 * * [simplify]: Extracting #0: cost 1 inf + 0 14.001 * * [simplify]: Extracting #1: cost 4 inf + 0 14.001 * * [simplify]: Extracting #2: cost 5 inf + 1 14.001 * * [simplify]: Extracting #3: cost 9 inf + 1 14.002 * * [simplify]: Extracting #4: cost 11 inf + 2 14.002 * * [simplify]: Extracting #5: cost 13 inf + 43 14.002 * * [simplify]: Extracting #6: cost 14 inf + 125 14.002 * * [simplify]: Extracting #7: cost 10 inf + 249 14.002 * * [simplify]: Extracting #8: cost 6 inf + 817 14.003 * * [simplify]: Extracting #9: cost 1 inf + 1987 14.004 * * [simplify]: Extracting #10: cost 0 inf + 2269 14.004 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.004 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 14.005 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 14.005 * * [simplify]: iters left: 6 (14 enodes) 14.011 * * [simplify]: iters left: 5 (48 enodes) 14.020 * * [simplify]: iters left: 4 (55 enodes) 14.027 * * [simplify]: Extracting #0: cost 1 inf + 0 14.027 * * [simplify]: Extracting #1: cost 4 inf + 0 14.027 * * [simplify]: Extracting #2: cost 8 inf + 0 14.027 * * [simplify]: Extracting #3: cost 12 inf + 0 14.028 * * [simplify]: Extracting #4: cost 21 inf + 0 14.028 * * [simplify]: Extracting #5: cost 22 inf + 44 14.028 * * [simplify]: Extracting #6: cost 15 inf + 820 14.028 * * [simplify]: Extracting #7: cost 13 inf + 1024 14.028 * * [simplify]: Extracting #8: cost 9 inf + 1471 14.029 * * [simplify]: Extracting #9: cost 2 inf + 3286 14.029 * * [simplify]: Extracting #10: cost 0 inf + 3971 14.030 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 14.030 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 14.030 * * * * [progress]: [ 107 / 149 ] simplifiying candidate # 14.030 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.030 * * [simplify]: iters left: 6 (15 enodes) 14.034 * * [simplify]: iters left: 5 (51 enodes) 14.041 * * [simplify]: iters left: 4 (58 enodes) 14.052 * * [simplify]: Extracting #0: cost 1 inf + 0 14.052 * * [simplify]: Extracting #1: cost 4 inf + 0 14.052 * * [simplify]: Extracting #2: cost 8 inf + 0 14.052 * * [simplify]: Extracting #3: cost 12 inf + 0 14.052 * * [simplify]: Extracting #4: cost 18 inf + 0 14.052 * * [simplify]: Extracting #5: cost 25 inf + 1 14.053 * * [simplify]: Extracting #6: cost 24 inf + 126 14.053 * * [simplify]: Extracting #7: cost 15 inf + 1184 14.054 * * [simplify]: Extracting #8: cost 9 inf + 1875 14.055 * * [simplify]: Extracting #9: cost 2 inf + 3489 14.055 * * [simplify]: Extracting #10: cost 0 inf + 4455 14.056 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 14.056 * [simplify]: Simplified (2 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 (sqrt (* (* im im) 2.0))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 14.057 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.057 * * [simplify]: iters left: 6 (15 enodes) 14.060 * * [simplify]: iters left: 5 (51 enodes) 14.068 * * [simplify]: iters left: 4 (58 enodes) 14.075 * * [simplify]: Extracting #0: cost 1 inf + 0 14.075 * * [simplify]: Extracting #1: cost 4 inf + 0 14.075 * * [simplify]: Extracting #2: cost 8 inf + 0 14.075 * * [simplify]: Extracting #3: cost 12 inf + 0 14.075 * * [simplify]: Extracting #4: cost 18 inf + 0 14.076 * * [simplify]: Extracting #5: cost 25 inf + 1 14.076 * * [simplify]: Extracting #6: cost 24 inf + 126 14.076 * * [simplify]: Extracting #7: cost 15 inf + 1184 14.076 * * [simplify]: Extracting #8: cost 9 inf + 1875 14.077 * * [simplify]: Extracting #9: cost 2 inf + 3489 14.077 * * [simplify]: Extracting #10: cost 0 inf + 4455 14.078 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))) 14.078 * [simplify]: Simplified (2 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 (sqrt (* 2.0 (* im im)))))) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (sqrt (* (* im im) 2.0))))))))) 14.078 * * * * [progress]: [ 108 / 149 ] simplifiying candidate # 14.078 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 1) 14.078 * * [simplify]: iters left: 6 (11 enodes) 14.081 * * [simplify]: iters left: 5 (36 enodes) 14.086 * * [simplify]: iters left: 4 (41 enodes) 14.091 * * [simplify]: Extracting #0: cost 1 inf + 0 14.091 * * [simplify]: Extracting #1: cost 4 inf + 0 14.092 * * [simplify]: Extracting #2: cost 5 inf + 1 14.092 * * [simplify]: Extracting #3: cost 9 inf + 1 14.092 * * [simplify]: Extracting #4: cost 11 inf + 2 14.092 * * [simplify]: Extracting #5: cost 13 inf + 43 14.092 * * [simplify]: Extracting #6: cost 14 inf + 125 14.092 * * [simplify]: Extracting #7: cost 11 inf + 208 14.092 * * [simplify]: Extracting #8: cost 7 inf + 655 14.092 * * [simplify]: Extracting #9: cost 3 inf + 1463 14.093 * * [simplify]: Extracting #10: cost 0 inf + 2269 14.093 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.093 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))))))) 14.093 * [simplify]: Simplifying (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im))))) 14.093 * * [simplify]: iters left: 6 (14 enodes) 14.096 * * [simplify]: iters left: 5 (48 enodes) 14.103 * * [simplify]: iters left: 4 (55 enodes) 14.110 * * [simplify]: Extracting #0: cost 1 inf + 0 14.110 * * [simplify]: Extracting #1: cost 4 inf + 0 14.110 * * [simplify]: Extracting #2: cost 8 inf + 0 14.110 * * [simplify]: Extracting #3: cost 12 inf + 0 14.110 * * [simplify]: Extracting #4: cost 21 inf + 0 14.110 * * [simplify]: Extracting #5: cost 22 inf + 44 14.110 * * [simplify]: Extracting #6: cost 15 inf + 820 14.111 * * [simplify]: Extracting #7: cost 13 inf + 1024 14.111 * * [simplify]: Extracting #8: cost 9 inf + 1471 14.112 * * [simplify]: Extracting #9: cost 2 inf + 3286 14.112 * * [simplify]: Extracting #10: cost 0 inf + 3971 14.113 * [simplify]: Simplified to (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))) 14.113 * [simplify]: Simplified (2 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 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* (* im im) 2.0)))))))) 14.113 * * * * [progress]: [ 109 / 149 ] simplifiying candidate # 14.113 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) 14.114 * * [simplify]: iters left: 6 (10 enodes) 14.116 * * [simplify]: iters left: 5 (37 enodes) 14.122 * * [simplify]: iters left: 4 (45 enodes) 14.130 * * [simplify]: Extracting #0: cost 1 inf + 0 14.131 * * [simplify]: Extracting #1: cost 6 inf + 0 14.131 * * [simplify]: Extracting #2: cost 9 inf + 1 14.131 * * [simplify]: Extracting #3: cost 11 inf + 1 14.131 * * [simplify]: Extracting #4: cost 13 inf + 1 14.131 * * [simplify]: Extracting #5: cost 18 inf + 1 14.131 * * [simplify]: Extracting #6: cost 17 inf + 44 14.131 * * [simplify]: Extracting #7: cost 10 inf + 577 14.131 * * [simplify]: Extracting #8: cost 6 inf + 1385 14.132 * * [simplify]: Extracting #9: cost 2 inf + 2515 14.132 * * [simplify]: Extracting #10: cost 0 inf + 3161 14.132 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (* (* im im) 2.0)))) (cbrt (sqrt (sqrt (* (* im im) 2.0)))))) 14.132 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (* (cbrt (sqrt (sqrt (* (* im im) 2.0)))) (cbrt (sqrt (sqrt (* (* im im) 2.0)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 14.133 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.133 * * [simplify]: iters left: 6 (14 enodes) 14.136 * * [simplify]: iters left: 5 (48 enodes) 14.143 * * [simplify]: iters left: 4 (55 enodes) 14.150 * * [simplify]: Extracting #0: cost 1 inf + 0 14.150 * * [simplify]: Extracting #1: cost 4 inf + 0 14.150 * * [simplify]: Extracting #2: cost 8 inf + 0 14.150 * * [simplify]: Extracting #3: cost 14 inf + 0 14.150 * * [simplify]: Extracting #4: cost 18 inf + 1 14.151 * * [simplify]: Extracting #5: cost 23 inf + 83 14.151 * * [simplify]: Extracting #6: cost 21 inf + 249 14.151 * * [simplify]: Extracting #7: cost 8 inf + 1793 14.151 * * [simplify]: Extracting #8: cost 2 inf + 3246 14.152 * * [simplify]: Extracting #9: cost 0 inf + 3971 14.153 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.153 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 14.153 * * * * [progress]: [ 110 / 149 ] simplifiying candidate # 14.153 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) 14.153 * * [simplify]: iters left: 6 (10 enodes) 14.156 * * [simplify]: iters left: 5 (36 enodes) 14.161 * * [simplify]: iters left: 4 (42 enodes) 14.168 * * [simplify]: Extracting #0: cost 1 inf + 0 14.168 * * [simplify]: Extracting #1: cost 4 inf + 0 14.168 * * [simplify]: Extracting #2: cost 6 inf + 1 14.168 * * [simplify]: Extracting #3: cost 9 inf + 1 14.168 * * [simplify]: Extracting #4: cost 11 inf + 1 14.168 * * [simplify]: Extracting #5: cost 16 inf + 1 14.168 * * [simplify]: Extracting #6: cost 14 inf + 86 14.168 * * [simplify]: Extracting #7: cost 9 inf + 455 14.169 * * [simplify]: Extracting #8: cost 2 inf + 1990 14.170 * * [simplify]: Extracting #9: cost 0 inf + 2515 14.170 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt (* (* im im) 2.0))))) 14.171 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (fabs (cbrt (sqrt (* (* im im) 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 14.171 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 14.171 * * [simplify]: iters left: 6 (14 enodes) 14.177 * * [simplify]: iters left: 5 (48 enodes) 14.191 * * [simplify]: iters left: 4 (55 enodes) 14.206 * * [simplify]: Extracting #0: cost 1 inf + 0 14.206 * * [simplify]: Extracting #1: cost 4 inf + 0 14.206 * * [simplify]: Extracting #2: cost 8 inf + 0 14.206 * * [simplify]: Extracting #3: cost 14 inf + 0 14.206 * * [simplify]: Extracting #4: cost 18 inf + 1 14.206 * * [simplify]: Extracting #5: cost 23 inf + 83 14.206 * * [simplify]: Extracting #6: cost 21 inf + 249 14.207 * * [simplify]: Extracting #7: cost 8 inf + 1833 14.208 * * [simplify]: Extracting #8: cost 2 inf + 3326 14.209 * * [simplify]: Extracting #9: cost 0 inf + 4051 14.210 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))) 14.210 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (sqrt (* 2.0 (* im im)))))))))) 14.211 * * * * [progress]: [ 111 / 149 ] simplifiying candidate # 14.211 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2.0))) 14.211 * * [simplify]: iters left: 4 (5 enodes) 14.214 * * [simplify]: iters left: 3 (17 enodes) 14.220 * * [simplify]: iters left: 2 (19 enodes) 14.227 * * [simplify]: Extracting #0: cost 1 inf + 0 14.227 * * [simplify]: Extracting #1: cost 4 inf + 0 14.227 * * [simplify]: Extracting #2: cost 5 inf + 1 14.227 * * [simplify]: Extracting #3: cost 7 inf + 1 14.227 * * [simplify]: Extracting #4: cost 0 inf + 490 14.227 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2.0))) 14.227 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im im)))))))) 14.228 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im im)))) 14.228 * * [simplify]: iters left: 6 (11 enodes) 14.233 * * [simplify]: iters left: 5 (37 enodes) 14.242 * * [simplify]: iters left: 4 (40 enodes) 14.247 * * [simplify]: Extracting #0: cost 1 inf + 0 14.247 * * [simplify]: Extracting #1: cost 4 inf + 0 14.247 * * [simplify]: Extracting #2: cost 8 inf + 0 14.247 * * [simplify]: Extracting #3: cost 15 inf + 0 14.247 * * [simplify]: Extracting #4: cost 12 inf + 287 14.247 * * [simplify]: Extracting #5: cost 11 inf + 410 14.248 * * [simplify]: Extracting #6: cost 11 inf + 451 14.248 * * [simplify]: Extracting #7: cost 6 inf + 1060 14.248 * * [simplify]: Extracting #8: cost 2 inf + 1948 14.248 * * [simplify]: Extracting #9: cost 1 inf + 2310 14.249 * * [simplify]: Extracting #10: cost 0 inf + 2672 14.249 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) 14.249 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))))))) 14.249 * * * * [progress]: [ 112 / 149 ] simplifiying candidate # 14.250 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.250 * * [simplify]: iters left: 6 (9 enodes) 14.252 * * [simplify]: iters left: 5 (32 enodes) 14.258 * * [simplify]: iters left: 4 (38 enodes) 14.263 * * [simplify]: Extracting #0: cost 1 inf + 0 14.263 * * [simplify]: Extracting #1: cost 4 inf + 0 14.263 * * [simplify]: Extracting #2: cost 5 inf + 1 14.263 * * [simplify]: Extracting #3: cost 7 inf + 1 14.263 * * [simplify]: Extracting #4: cost 9 inf + 1 14.263 * * [simplify]: Extracting #5: cost 14 inf + 1 14.263 * * [simplify]: Extracting #6: cost 12 inf + 86 14.263 * * [simplify]: Extracting #7: cost 8 inf + 373 14.263 * * [simplify]: Extracting #8: cost 3 inf + 1103 14.264 * * [simplify]: Extracting #9: cost 0 inf + 1791 14.264 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt (* (* im 2.0) im))))) 14.264 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* (* im 2.0) im))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 14.264 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.264 * * [simplify]: iters left: 6 (14 enodes) 14.268 * * [simplify]: iters left: 5 (48 enodes) 14.274 * * [simplify]: iters left: 4 (55 enodes) 14.288 * * [simplify]: Extracting #0: cost 1 inf + 0 14.288 * * [simplify]: Extracting #1: cost 4 inf + 0 14.289 * * [simplify]: Extracting #2: cost 8 inf + 0 14.289 * * [simplify]: Extracting #3: cost 14 inf + 0 14.289 * * [simplify]: Extracting #4: cost 18 inf + 1 14.289 * * [simplify]: Extracting #5: cost 23 inf + 83 14.289 * * [simplify]: Extracting #6: cost 21 inf + 249 14.289 * * [simplify]: Extracting #7: cost 8 inf + 1713 14.290 * * [simplify]: Extracting #8: cost 2 inf + 3126 14.292 * * [simplify]: Extracting #9: cost 0 inf + 3811 14.293 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.293 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 14.293 * * * * [progress]: [ 113 / 149 ] simplifiying candidate # 14.293 * [simplify]: Simplifying (/ 1 (sqrt 1)) 14.294 * * [simplify]: iters left: 3 (3 enodes) 14.299 * * [simplify]: iters left: 2 (11 enodes) 14.302 * * [simplify]: iters left: 1 (13 enodes) 14.304 * * [simplify]: Extracting #0: cost 1 inf + 0 14.304 * * [simplify]: Extracting #1: cost 0 inf + 1 14.304 * [simplify]: Simplified to 1 14.304 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 14.304 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 14.304 * * [simplify]: iters left: 6 (13 enodes) 14.307 * * [simplify]: iters left: 5 (45 enodes) 14.314 * * [simplify]: iters left: 4 (52 enodes) 14.320 * * [simplify]: Extracting #0: cost 1 inf + 0 14.321 * * [simplify]: Extracting #1: cost 4 inf + 0 14.321 * * [simplify]: Extracting #2: cost 8 inf + 0 14.321 * * [simplify]: Extracting #3: cost 14 inf + 0 14.321 * * [simplify]: Extracting #4: cost 21 inf + 1 14.321 * * [simplify]: Extracting #5: cost 18 inf + 291 14.321 * * [simplify]: Extracting #6: cost 11 inf + 1024 14.321 * * [simplify]: Extracting #7: cost 8 inf + 1349 14.322 * * [simplify]: Extracting #8: cost 1 inf + 2924 14.322 * * [simplify]: Extracting #9: cost 0 inf + 3327 14.323 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 14.323 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 14.323 * * * * [progress]: [ 114 / 149 ] simplifiying candidate # 14.323 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.323 * * [simplify]: iters left: 6 (9 enodes) 14.326 * * [simplify]: iters left: 5 (32 enodes) 14.333 * * [simplify]: iters left: 4 (38 enodes) 14.338 * * [simplify]: Extracting #0: cost 1 inf + 0 14.339 * * [simplify]: Extracting #1: cost 4 inf + 0 14.339 * * [simplify]: Extracting #2: cost 5 inf + 1 14.339 * * [simplify]: Extracting #3: cost 7 inf + 1 14.339 * * [simplify]: Extracting #4: cost 9 inf + 1 14.339 * * [simplify]: Extracting #5: cost 14 inf + 1 14.339 * * [simplify]: Extracting #6: cost 12 inf + 86 14.339 * * [simplify]: Extracting #7: cost 8 inf + 373 14.340 * * [simplify]: Extracting #8: cost 3 inf + 1103 14.340 * * [simplify]: Extracting #9: cost 0 inf + 1791 14.341 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt (* (* im 2.0) im))))) 14.341 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* (* im 2.0) im))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 14.341 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.341 * * [simplify]: iters left: 6 (14 enodes) 14.348 * * [simplify]: iters left: 5 (48 enodes) 14.358 * * [simplify]: iters left: 4 (55 enodes) 14.366 * * [simplify]: Extracting #0: cost 1 inf + 0 14.366 * * [simplify]: Extracting #1: cost 4 inf + 0 14.366 * * [simplify]: Extracting #2: cost 8 inf + 0 14.366 * * [simplify]: Extracting #3: cost 14 inf + 0 14.366 * * [simplify]: Extracting #4: cost 18 inf + 1 14.366 * * [simplify]: Extracting #5: cost 23 inf + 83 14.366 * * [simplify]: Extracting #6: cost 21 inf + 249 14.367 * * [simplify]: Extracting #7: cost 8 inf + 1713 14.367 * * [simplify]: Extracting #8: cost 2 inf + 3126 14.368 * * [simplify]: Extracting #9: cost 0 inf + 3811 14.369 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) 14.369 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (/ 1 (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))))))) 14.369 * * * * [progress]: [ 115 / 149 ] simplifiying candidate # 14.369 * [simplify]: Simplifying (/ 1 1) 14.369 * * [simplify]: iters left: 2 (2 enodes) 14.370 * * [simplify]: iters left: 1 (6 enodes) 14.371 * * [simplify]: Extracting #0: cost 1 inf + 0 14.371 * * [simplify]: Extracting #1: cost 0 inf + 1 14.371 * [simplify]: Simplified to 1 14.371 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 14.371 * [simplify]: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 14.372 * * [simplify]: iters left: 6 (13 enodes) 14.375 * * [simplify]: iters left: 5 (45 enodes) 14.381 * * [simplify]: iters left: 4 (52 enodes) 14.394 * * [simplify]: Extracting #0: cost 1 inf + 0 14.394 * * [simplify]: Extracting #1: cost 4 inf + 0 14.394 * * [simplify]: Extracting #2: cost 8 inf + 0 14.395 * * [simplify]: Extracting #3: cost 14 inf + 0 14.395 * * [simplify]: Extracting #4: cost 21 inf + 1 14.395 * * [simplify]: Extracting #5: cost 18 inf + 291 14.395 * * [simplify]: Extracting #6: cost 11 inf + 1024 14.396 * * [simplify]: Extracting #7: cost 8 inf + 1349 14.397 * * [simplify]: Extracting #8: cost 1 inf + 2924 14.398 * * [simplify]: Extracting #9: cost 0 inf + 3327 14.399 * [simplify]: Simplified to (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) 14.399 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (* 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))) 14.399 * * * * [progress]: [ 116 / 149 ] simplifiying candidate # 14.399 * * * * [progress]: [ 117 / 149 ] simplifiying candidate # 14.399 * * * * [progress]: [ 118 / 149 ] simplifiying candidate # 14.399 * * * * [progress]: [ 119 / 149 ] simplifiying candidate # 14.400 * [simplify]: Simplifying (cbrt (sqrt (sqrt (* 2.0 (* im im))))) 14.400 * * [simplify]: iters left: 6 (7 enodes) 14.403 * * [simplify]: iters left: 5 (24 enodes) 14.411 * * [simplify]: iters left: 4 (28 enodes) 14.415 * * [simplify]: Extracting #0: cost 1 inf + 0 14.415 * * [simplify]: Extracting #1: cost 3 inf + 0 14.415 * * [simplify]: Extracting #2: cost 5 inf + 0 14.415 * * [simplify]: Extracting #3: cost 7 inf + 0 14.415 * * [simplify]: Extracting #4: cost 12 inf + 0 14.415 * * [simplify]: Extracting #5: cost 12 inf + 2 14.415 * * [simplify]: Extracting #6: cost 6 inf + 332 14.415 * * [simplify]: Extracting #7: cost 3 inf + 738 14.415 * * [simplify]: Extracting #8: cost 1 inf + 1142 14.415 * * [simplify]: Extracting #9: cost 0 inf + 1384 14.416 * [simplify]: Simplified to (cbrt (sqrt (sqrt (* 2.0 (* im im))))) 14.416 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (sqrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))) (cbrt (sqrt (sqrt (* 2.0 (* im im))))))))) 14.416 * * * * [progress]: [ 120 / 149 ] simplifiying candidate # 14.416 * [simplify]: Simplifying (sqrt (cbrt (sqrt (* 2.0 (* im im))))) 14.416 * * [simplify]: iters left: 6 (7 enodes) 14.418 * * [simplify]: iters left: 5 (24 enodes) 14.421 * * [simplify]: iters left: 4 (28 enodes) 14.425 * * [simplify]: Extracting #0: cost 1 inf + 0 14.425 * * [simplify]: Extracting #1: cost 3 inf + 0 14.425 * * [simplify]: Extracting #2: cost 5 inf + 0 14.425 * * [simplify]: Extracting #3: cost 7 inf + 0 14.425 * * [simplify]: Extracting #4: cost 12 inf + 0 14.425 * * [simplify]: Extracting #5: cost 12 inf + 2 14.425 * * [simplify]: Extracting #6: cost 6 inf + 332 14.426 * * [simplify]: Extracting #7: cost 3 inf + 778 14.426 * * [simplify]: Extracting #8: cost 1 inf + 1222 14.426 * * [simplify]: Extracting #9: cost 0 inf + 1464 14.426 * [simplify]: Simplified to (sqrt (cbrt (sqrt (* 2.0 (* im im))))) 14.426 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))))) (sqrt (cbrt (sqrt (* 2.0 (* im im))))))))) 14.426 * * * * [progress]: [ 121 / 149 ] simplifiying candidate # 14.427 * [simplify]: Simplifying (sqrt (sqrt (* im im))) 14.427 * * [simplify]: iters left: 4 (4 enodes) 14.427 * * [simplify]: iters left: 3 (13 enodes) 14.429 * * [simplify]: Extracting #0: cost 1 inf + 0 14.429 * * [simplify]: Extracting #1: cost 3 inf + 0 14.429 * * [simplify]: Extracting #2: cost 6 inf + 0 14.429 * * [simplify]: Extracting #3: cost 6 inf + 1 14.429 * * [simplify]: Extracting #4: cost 0 inf + 327 14.429 * [simplify]: Simplified to (sqrt (fabs im)) 14.429 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt 2.0))) (sqrt (fabs im)))))) 14.429 * * * * [progress]: [ 122 / 149 ] simplifiying candidate # 14.430 * [simplify]: Simplifying (sqrt (sqrt (sqrt (* 2.0 (* im im))))) 14.430 * * [simplify]: iters left: 6 (7 enodes) 14.431 * * [simplify]: iters left: 5 (24 enodes) 14.437 * * [simplify]: iters left: 4 (28 enodes) 14.440 * * [simplify]: Extracting #0: cost 1 inf + 0 14.441 * * [simplify]: Extracting #1: cost 3 inf + 0 14.441 * * [simplify]: Extracting #2: cost 5 inf + 0 14.441 * * [simplify]: Extracting #3: cost 7 inf + 0 14.441 * * [simplify]: Extracting #4: cost 12 inf + 0 14.441 * * [simplify]: Extracting #5: cost 12 inf + 2 14.441 * * [simplify]: Extracting #6: cost 6 inf + 332 14.441 * * [simplify]: Extracting #7: cost 3 inf + 738 14.441 * * [simplify]: Extracting #8: cost 1 inf + 1102 14.441 * * [simplify]: Extracting #9: cost 0 inf + 1304 14.442 * [simplify]: Simplified to (sqrt (sqrt (sqrt (* 2.0 (* im im))))) 14.442 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (sqrt (sqrt (sqrt (* 2.0 (* im im))))))))) 14.442 * * * * [progress]: [ 123 / 149 ] simplifiying candidate # 14.442 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 14.442 * * [simplify]: iters left: 6 (6 enodes) 14.444 * * [simplify]: iters left: 5 (21 enodes) 14.448 * * [simplify]: iters left: 4 (25 enodes) 14.454 * * [simplify]: Extracting #0: cost 1 inf + 0 14.455 * * [simplify]: Extracting #1: cost 3 inf + 0 14.455 * * [simplify]: Extracting #2: cost 5 inf + 0 14.455 * * [simplify]: Extracting #3: cost 10 inf + 0 14.455 * * [simplify]: Extracting #4: cost 10 inf + 2 14.455 * * [simplify]: Extracting #5: cost 1 inf + 738 14.455 * * [simplify]: Extracting #6: cost 0 inf + 900 14.456 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 14.456 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 1)) (sqrt (sqrt (* 2.0 (* im im)))))))) 14.456 * * * * [progress]: [ 124 / 149 ] simplifiying candidate # 14.456 * [simplify]: Simplifying (sqrt (sqrt (sqrt (* 2.0 (* im im))))) 14.456 * * [simplify]: iters left: 6 (7 enodes) 14.460 * * [simplify]: iters left: 5 (24 enodes) 14.467 * * [simplify]: iters left: 4 (28 enodes) 14.474 * * [simplify]: Extracting #0: cost 1 inf + 0 14.475 * * [simplify]: Extracting #1: cost 3 inf + 0 14.475 * * [simplify]: Extracting #2: cost 5 inf + 0 14.475 * * [simplify]: Extracting #3: cost 7 inf + 0 14.475 * * [simplify]: Extracting #4: cost 12 inf + 0 14.475 * * [simplify]: Extracting #5: cost 12 inf + 2 14.475 * * [simplify]: Extracting #6: cost 6 inf + 332 14.475 * * [simplify]: Extracting #7: cost 3 inf + 738 14.476 * * [simplify]: Extracting #8: cost 1 inf + 1102 14.476 * * [simplify]: Extracting #9: cost 0 inf + 1304 14.477 * [simplify]: Simplified to (sqrt (sqrt (sqrt (* 2.0 (* im im))))) 14.477 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (sqrt (* 2.0 (* im im)))))) (sqrt (sqrt (sqrt (* 2.0 (* im im))))))))) 14.477 * * * * [progress]: [ 125 / 149 ] simplifiying candidate # 14.477 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 14.477 * * [simplify]: iters left: 6 (6 enodes) 14.480 * * [simplify]: iters left: 5 (21 enodes) 14.487 * * [simplify]: iters left: 4 (25 enodes) 14.494 * * [simplify]: Extracting #0: cost 1 inf + 0 14.494 * * [simplify]: Extracting #1: cost 3 inf + 0 14.494 * * [simplify]: Extracting #2: cost 5 inf + 0 14.494 * * [simplify]: Extracting #3: cost 10 inf + 0 14.494 * * [simplify]: Extracting #4: cost 10 inf + 2 14.495 * * [simplify]: Extracting #5: cost 1 inf + 738 14.495 * * [simplify]: Extracting #6: cost 0 inf + 900 14.495 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 14.495 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1) (sqrt (sqrt (* 2.0 (* im im)))))))) 14.496 * * * * [progress]: [ 126 / 149 ] simplifiying candidate # 14.496 * [simplify]: Simplifying (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.496 * * [simplify]: iters left: 6 (10 enodes) 14.500 * * [simplify]: iters left: 5 (33 enodes) 14.509 * * [simplify]: iters left: 4 (36 enodes) 14.518 * * [simplify]: Extracting #0: cost 1 inf + 0 14.519 * * [simplify]: Extracting #1: cost 3 inf + 0 14.519 * * [simplify]: Extracting #2: cost 5 inf + 0 14.519 * * [simplify]: Extracting #3: cost 7 inf + 0 14.519 * * [simplify]: Extracting #4: cost 11 inf + 0 14.519 * * [simplify]: Extracting #5: cost 13 inf + 1 14.519 * * [simplify]: Extracting #6: cost 14 inf + 83 14.519 * * [simplify]: Extracting #7: cost 16 inf + 124 14.519 * * [simplify]: Extracting #8: cost 13 inf + 207 14.519 * * [simplify]: Extracting #9: cost 9 inf + 654 14.520 * * [simplify]: Extracting #10: cost 4 inf + 1704 14.521 * * [simplify]: Extracting #11: cost 0 inf + 3072 14.522 * [simplify]: Simplified to (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.522 * [simplify]: Simplified (2 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)))))))) 14.522 * * * * [progress]: [ 127 / 149 ] simplifiying candidate # 14.522 * [simplify]: Simplifying (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 14.522 * * [simplify]: iters left: 6 (10 enodes) 14.527 * * [simplify]: iters left: 5 (34 enodes) 14.536 * * [simplify]: iters left: 4 (37 enodes) 14.545 * * [simplify]: Extracting #0: cost 1 inf + 0 14.545 * * [simplify]: Extracting #1: cost 4 inf + 0 14.546 * * [simplify]: Extracting #2: cost 7 inf + 0 14.546 * * [simplify]: Extracting #3: cost 11 inf + 0 14.546 * * [simplify]: Extracting #4: cost 13 inf + 1 14.546 * * [simplify]: Extracting #5: cost 15 inf + 42 14.546 * * [simplify]: Extracting #6: cost 16 inf + 124 14.546 * * [simplify]: Extracting #7: cost 13 inf + 207 14.546 * * [simplify]: Extracting #8: cost 10 inf + 532 14.547 * * [simplify]: Extracting #9: cost 4 inf + 1824 14.548 * * [simplify]: Extracting #10: cost 0 inf + 3072 14.549 * [simplify]: Simplified to (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 14.549 * [simplify]: Simplified (2 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)))))))) 14.549 * * * * [progress]: [ 128 / 149 ] simplifiying candidate # 14.549 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.549 * * [simplify]: iters left: 6 (9 enodes) 14.553 * * [simplify]: iters left: 5 (30 enodes) 14.561 * * [simplify]: iters left: 4 (33 enodes) 14.570 * * [simplify]: Extracting #0: cost 1 inf + 0 14.570 * * [simplify]: Extracting #1: cost 3 inf + 0 14.570 * * [simplify]: Extracting #2: cost 5 inf + 0 14.570 * * [simplify]: Extracting #3: cost 9 inf + 0 14.572 * * [simplify]: Extracting #4: cost 11 inf + 1 14.572 * * [simplify]: Extracting #5: cost 12 inf + 83 14.572 * * [simplify]: Extracting #6: cost 14 inf + 124 14.573 * * [simplify]: Extracting #7: cost 10 inf + 248 14.573 * * [simplify]: Extracting #8: cost 8 inf + 532 14.573 * * [simplify]: Extracting #9: cost 4 inf + 1260 14.574 * * [simplify]: Extracting #10: cost 0 inf + 2268 14.575 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.575 * [simplify]: Simplified (2 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)))))))) 14.575 * * * * [progress]: [ 129 / 149 ] simplifiying candidate # 14.575 * [simplify]: Simplifying (sqrt 1) 14.575 * * [simplify]: iters left: 1 (2 enodes) 14.579 * * [simplify]: Extracting #0: cost 1 inf + 0 14.579 * * [simplify]: Extracting #1: cost 0 inf + 1 14.579 * [simplify]: Simplified to 1 14.579 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ 1 (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 14.579 * * * * [progress]: [ 130 / 149 ] simplifiying candidate # 14.579 * [simplify]: Simplifying (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 14.579 * * [simplify]: iters left: 6 (10 enodes) 14.583 * * [simplify]: iters left: 5 (32 enodes) 14.592 * * [simplify]: Extracting #0: cost 1 inf + 0 14.592 * * [simplify]: Extracting #1: cost 3 inf + 0 14.592 * * [simplify]: Extracting #2: cost 6 inf + 0 14.592 * * [simplify]: Extracting #3: cost 10 inf + 0 14.592 * * [simplify]: Extracting #4: cost 11 inf + 1 14.592 * * [simplify]: Extracting #5: cost 12 inf + 83 14.593 * * [simplify]: Extracting #6: cost 14 inf + 124 14.593 * * [simplify]: Extracting #7: cost 11 inf + 207 14.593 * * [simplify]: Extracting #8: cost 7 inf + 654 14.594 * * [simplify]: Extracting #9: cost 0 inf + 2428 14.595 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 14.595 * [simplify]: Simplified (2 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)))))))) 14.595 * * * * [progress]: [ 131 / 149 ] simplifiying candidate # 14.595 * [simplify]: Simplifying (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 14.595 * * [simplify]: iters left: 6 (10 enodes) 14.600 * * [simplify]: iters left: 5 (32 enodes) 14.608 * * [simplify]: Extracting #0: cost 1 inf + 0 14.608 * * [simplify]: Extracting #1: cost 3 inf + 0 14.608 * * [simplify]: Extracting #2: cost 6 inf + 0 14.608 * * [simplify]: Extracting #3: cost 10 inf + 0 14.608 * * [simplify]: Extracting #4: cost 11 inf + 1 14.608 * * [simplify]: Extracting #5: cost 12 inf + 83 14.608 * * [simplify]: Extracting #6: cost 14 inf + 124 14.609 * * [simplify]: Extracting #7: cost 11 inf + 207 14.609 * * [simplify]: Extracting #8: cost 7 inf + 654 14.609 * * [simplify]: Extracting #9: cost 0 inf + 2428 14.610 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 14.610 * [simplify]: Simplified (2 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)))))))) 14.610 * * * * [progress]: [ 132 / 149 ] simplifiying candidate # 14.611 * [simplify]: Simplifying (sqrt 1) 14.611 * * [simplify]: iters left: 1 (2 enodes) 14.614 * * [simplify]: Extracting #0: cost 1 inf + 0 14.614 * * [simplify]: Extracting #1: cost 0 inf + 1 14.614 * [simplify]: Simplified to 1 14.614 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ 1 (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 14.614 * * * * [progress]: [ 133 / 149 ] simplifiying candidate # 14.615 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.615 * * [simplify]: iters left: 6 (9 enodes) 14.619 * * [simplify]: iters left: 5 (30 enodes) 14.627 * * [simplify]: iters left: 4 (33 enodes) 14.636 * * [simplify]: Extracting #0: cost 1 inf + 0 14.636 * * [simplify]: Extracting #1: cost 3 inf + 0 14.636 * * [simplify]: Extracting #2: cost 5 inf + 0 14.636 * * [simplify]: Extracting #3: cost 9 inf + 0 14.636 * * [simplify]: Extracting #4: cost 11 inf + 1 14.636 * * [simplify]: Extracting #5: cost 12 inf + 83 14.636 * * [simplify]: Extracting #6: cost 14 inf + 124 14.636 * * [simplify]: Extracting #7: cost 10 inf + 248 14.637 * * [simplify]: Extracting #8: cost 8 inf + 532 14.637 * * [simplify]: Extracting #9: cost 4 inf + 1260 14.638 * * [simplify]: Extracting #10: cost 0 inf + 2268 14.638 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 14.639 * [simplify]: Simplified (2 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)))))))) 14.639 * * * * [progress]: [ 134 / 149 ] simplifiying candidate # 14.639 * * * * [progress]: [ 135 / 149 ] simplifiying candidate # 14.639 * [simplify]: Simplifying (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) 14.639 * * [simplify]: iters left: 6 (11 enodes) 14.646 * * [simplify]: iters left: 5 (48 enodes) 14.665 * * [simplify]: iters left: 4 (86 enodes) 14.698 * * [simplify]: iters left: 3 (166 enodes) 14.740 * * [simplify]: iters left: 2 (333 enodes) 14.861 * * [simplify]: Extracting #0: cost 1 inf + 0 14.861 * * [simplify]: Extracting #1: cost 3 inf + 0 14.861 * * [simplify]: Extracting #2: cost 25 inf + 0 14.861 * * [simplify]: Extracting #3: cost 120 inf + 0 14.862 * * [simplify]: Extracting #4: cost 165 inf + 1500 14.864 * * [simplify]: Extracting #5: cost 132 inf + 10126 14.868 * * [simplify]: Extracting #6: cost 78 inf + 39544 14.881 * * [simplify]: Extracting #7: cost 10 inf + 88116 14.898 * * [simplify]: Extracting #8: cost 0 inf + 92736 14.907 * [simplify]: Simplified to (sqrt (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))) 14.907 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))) (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))) 14.908 * * * * [progress]: [ 136 / 149 ] simplifiying candidate # 14.908 * [simplify]: Simplifying (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) 14.908 * * [simplify]: iters left: 6 (9 enodes) 14.910 * * [simplify]: iters left: 5 (31 enodes) 14.919 * * [simplify]: iters left: 4 (53 enodes) 14.940 * * [simplify]: iters left: 3 (83 enodes) 14.968 * * [simplify]: iters left: 2 (148 enodes) 15.047 * * [simplify]: iters left: 1 (363 enodes) 15.446 * * [simplify]: Extracting #0: cost 1 inf + 0 15.447 * * [simplify]: Extracting #1: cost 4 inf + 0 15.447 * * [simplify]: Extracting #2: cost 83 inf + 83 15.448 * * [simplify]: Extracting #3: cost 372 inf + 166 15.450 * * [simplify]: Extracting #4: cost 355 inf + 2568 15.456 * * [simplify]: Extracting #5: cost 205 inf + 36020 15.477 * * [simplify]: Extracting #6: cost 20 inf + 95617 15.524 * * [simplify]: Extracting #7: cost 0 inf + 102779 15.574 * [simplify]: Simplified to (fabs im) 15.574 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (fabs im) (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.574 * * * * [progress]: [ 137 / 149 ] simplifiying candidate #real (real->posit16 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))))> 15.574 * * * * [progress]: [ 138 / 149 ] simplifiying candidate # 15.575 * [simplify]: Simplifying im 15.575 * * [simplify]: iters left: 0 (1 enodes) 15.575 * * [simplify]: Extracting #0: cost 1 inf + 0 15.575 * * [simplify]: Extracting #1: cost 0 inf + 1 15.575 * [simplify]: Simplified to im 15.575 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- im re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 15.575 * * * * [progress]: [ 139 / 149 ] simplifiying candidate # 15.576 * [simplify]: Simplifying re 15.576 * * [simplify]: iters left: 0 (1 enodes) 15.576 * * [simplify]: Extracting #0: cost 1 inf + 0 15.576 * * [simplify]: Extracting #1: cost 0 inf + 1 15.576 * [simplify]: Simplified to re 15.576 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- re re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 15.576 * * * * [progress]: [ 140 / 149 ] simplifiying candidate # 15.577 * [simplify]: Simplifying (* -1 re) 15.577 * * [simplify]: iters left: 2 (3 enodes) 15.579 * * [simplify]: iters left: 1 (11 enodes) 15.582 * * [simplify]: Extracting #0: cost 1 inf + 0 15.582 * * [simplify]: Extracting #1: cost 4 inf + 0 15.582 * * [simplify]: Extracting #2: cost 0 inf + 84 15.582 * [simplify]: Simplified to (- re) 15.582 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (- re) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 15.583 * * * * [progress]: [ 141 / 149 ] simplifiying candidate # 15.583 * [simplify]: Simplifying (* (sqrt 2.0) im) 15.583 * * [simplify]: iters left: 3 (4 enodes) 15.586 * * [simplify]: iters left: 2 (13 enodes) 15.590 * * [simplify]: Extracting #0: cost 1 inf + 0 15.590 * * [simplify]: Extracting #1: cost 4 inf + 0 15.590 * * [simplify]: Extracting #2: cost 5 inf + 1 15.590 * * [simplify]: Extracting #3: cost 4 inf + 2 15.590 * * [simplify]: Extracting #4: cost 0 inf + 248 15.590 * [simplify]: Simplified to (* im (sqrt 2.0)) 15.590 * [simplify]: Simplified (2 2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im (sqrt 2.0))))))) 15.591 * * * * [progress]: [ 142 / 149 ] simplifiying candidate # 15.591 * [simplify]: Simplifying (* (sqrt 2.0) im) 15.591 * * [simplify]: iters left: 3 (4 enodes) 15.594 * * [simplify]: iters left: 2 (13 enodes) 15.598 * * [simplify]: Extracting #0: cost 1 inf + 0 15.598 * * [simplify]: Extracting #1: cost 4 inf + 0 15.598 * * [simplify]: Extracting #2: cost 5 inf + 1 15.598 * * [simplify]: Extracting #3: cost 4 inf + 2 15.598 * * [simplify]: Extracting #4: cost 0 inf + 248 15.599 * [simplify]: Simplified to (* im (sqrt 2.0)) 15.599 * [simplify]: Simplified (2 2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im (sqrt 2.0))))))) 15.599 * * * * [progress]: [ 143 / 149 ] simplifiying candidate # 15.599 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 15.599 * * [simplify]: iters left: 5 (6 enodes) 15.603 * * [simplify]: iters left: 4 (23 enodes) 15.611 * * [simplify]: iters left: 3 (36 enodes) 15.617 * * [simplify]: iters left: 2 (41 enodes) 15.622 * * [simplify]: Extracting #0: cost 1 inf + 0 15.622 * * [simplify]: Extracting #1: cost 8 inf + 0 15.622 * * [simplify]: Extracting #2: cost 10 inf + 43 15.622 * * [simplify]: Extracting #3: cost 8 inf + 85 15.622 * * [simplify]: Extracting #4: cost 2 inf + 534 15.623 * * [simplify]: Extracting #5: cost 0 inf + 737 15.623 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 15.623 * [simplify]: Simplified (2 2 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))))))) 15.623 * * * * [progress]: [ 144 / 149 ] simplifiying candidate # 15.623 * [simplify]: Simplifying (* (sqrt 2.0) im) 15.623 * * [simplify]: iters left: 3 (4 enodes) 15.624 * * [simplify]: iters left: 2 (13 enodes) 15.627 * * [simplify]: Extracting #0: cost 1 inf + 0 15.627 * * [simplify]: Extracting #1: cost 4 inf + 0 15.627 * * [simplify]: Extracting #2: cost 5 inf + 1 15.627 * * [simplify]: Extracting #3: cost 4 inf + 2 15.627 * * [simplify]: Extracting #4: cost 0 inf + 248 15.627 * [simplify]: Simplified to (* im (sqrt 2.0)) 15.627 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* im (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 15.627 * * * * [progress]: [ 145 / 149 ] simplifiying candidate # 15.627 * [simplify]: Simplifying (* (sqrt 2.0) im) 15.628 * * [simplify]: iters left: 3 (4 enodes) 15.629 * * [simplify]: iters left: 2 (13 enodes) 15.631 * * [simplify]: Extracting #0: cost 1 inf + 0 15.631 * * [simplify]: Extracting #1: cost 4 inf + 0 15.631 * * [simplify]: Extracting #2: cost 5 inf + 1 15.631 * * [simplify]: Extracting #3: cost 4 inf + 2 15.632 * * [simplify]: Extracting #4: cost 0 inf + 248 15.632 * [simplify]: Simplified to (* im (sqrt 2.0)) 15.632 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* im (sqrt 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 15.632 * * * * [progress]: [ 146 / 149 ] simplifiying candidate # 15.632 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 15.632 * * [simplify]: iters left: 5 (6 enodes) 15.634 * * [simplify]: iters left: 4 (23 enodes) 15.638 * * [simplify]: iters left: 3 (36 enodes) 15.648 * * [simplify]: iters left: 2 (41 enodes) 15.657 * * [simplify]: Extracting #0: cost 1 inf + 0 15.657 * * [simplify]: Extracting #1: cost 8 inf + 0 15.657 * * [simplify]: Extracting #2: cost 10 inf + 43 15.657 * * [simplify]: Extracting #3: cost 8 inf + 85 15.657 * * [simplify]: Extracting #4: cost 2 inf + 534 15.658 * * [simplify]: Extracting #5: cost 0 inf + 737 15.658 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 15.658 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (- (* (sqrt 2.0) im))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 15.658 * * * * [progress]: [ 147 / 149 ] simplifiying candidate # 15.658 * [simplify]: Simplifying (sqrt (/ 1 (sqrt 2.0))) 15.658 * * [simplify]: iters left: 4 (5 enodes) 15.660 * * [simplify]: iters left: 3 (17 enodes) 15.663 * * [simplify]: iters left: 2 (19 enodes) 15.668 * * [simplify]: Extracting #0: cost 1 inf + 0 15.668 * * [simplify]: Extracting #1: cost 3 inf + 0 15.668 * * [simplify]: Extracting #2: cost 6 inf + 0 15.668 * * [simplify]: Extracting #3: cost 7 inf + 1 15.668 * * [simplify]: Extracting #4: cost 0 inf + 492 15.668 * [simplify]: Simplified to (sqrt (/ 1 (sqrt 2.0))) 15.668 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (/ 1 (sqrt 2.0)))))) 15.669 * * * * [progress]: [ 148 / 149 ] simplifiying candidate # 15.669 * [simplify]: Simplifying 0 15.669 * * [simplify]: iters left: 0 (1 enodes) 15.669 * * [simplify]: Extracting #0: cost 1 inf + 0 15.669 * * [simplify]: Extracting #1: cost 0 inf + 1 15.669 * [simplify]: Simplified to 0 15.669 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) 0))) 15.669 * * * * [progress]: [ 149 / 149 ] simplifiying candidate # 15.670 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 2) (* re (pow im 2))))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) im))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 2) (pow re 3))))))))) 15.670 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) +nan.0))) 15.670 * * * [progress]: adding candidates to table 17.754 * * [progress]: iteration 4 / 4 17.755 * * * [progress]: picking best candidate 17.775 * * * * [pick]: Picked # 17.775 * * * [progress]: localizing error 17.812 * * * [progress]: generating rewritten candidates 17.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 17.818 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 17.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 18.312 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 18.370 * * * [progress]: generating series expansions 18.370 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 18.370 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 18.371 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 18.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.371 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.371 * [taylor]: Taking taylor expansion of im in im 18.371 * [backup-simplify]: Simplify 0 into 0 18.371 * [backup-simplify]: Simplify 1 into 1 18.371 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.371 * [taylor]: Taking taylor expansion of re in im 18.371 * [backup-simplify]: Simplify re into re 18.371 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.371 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.371 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.371 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.372 * [backup-simplify]: Simplify (+ 0 0) into 0 18.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.372 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.372 * [taylor]: Taking taylor expansion of im in re 18.372 * [backup-simplify]: Simplify im into im 18.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.372 * [taylor]: Taking taylor expansion of re in re 18.372 * [backup-simplify]: Simplify 0 into 0 18.372 * [backup-simplify]: Simplify 1 into 1 18.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.372 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.372 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.373 * [backup-simplify]: Simplify (+ 0 0) into 0 18.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.373 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.373 * [taylor]: Taking taylor expansion of im in re 18.373 * [backup-simplify]: Simplify im into im 18.373 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.373 * [taylor]: Taking taylor expansion of re in re 18.373 * [backup-simplify]: Simplify 0 into 0 18.373 * [backup-simplify]: Simplify 1 into 1 18.373 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.373 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.373 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.373 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.374 * [backup-simplify]: Simplify (+ 0 0) into 0 18.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.374 * [taylor]: Taking taylor expansion of im in im 18.374 * [backup-simplify]: Simplify 0 into 0 18.374 * [backup-simplify]: Simplify 1 into 1 18.374 * [backup-simplify]: Simplify 0 into 0 18.374 * [taylor]: Taking taylor expansion of 0 in im 18.374 * [backup-simplify]: Simplify 0 into 0 18.374 * [backup-simplify]: Simplify 0 into 0 18.374 * [backup-simplify]: Simplify 1 into 1 18.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 18.375 * [backup-simplify]: Simplify (* 1 1) into 1 18.375 * [backup-simplify]: Simplify (+ 0 1) into 1 18.376 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 18.376 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 18.376 * [taylor]: Taking taylor expansion of 1/2 in im 18.376 * [backup-simplify]: Simplify 1/2 into 1/2 18.376 * [taylor]: Taking taylor expansion of im in im 18.376 * [backup-simplify]: Simplify 0 into 0 18.376 * [backup-simplify]: Simplify 1 into 1 18.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 18.378 * [backup-simplify]: Simplify 0 into 0 18.378 * [backup-simplify]: Simplify 0 into 0 18.378 * [backup-simplify]: Simplify 0 into 0 18.379 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 18.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.380 * [backup-simplify]: Simplify (+ 0 0) into 0 18.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 18.380 * [taylor]: Taking taylor expansion of 0 in im 18.380 * [backup-simplify]: Simplify 0 into 0 18.380 * [backup-simplify]: Simplify 0 into 0 18.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.381 * [backup-simplify]: Simplify 0 into 0 18.381 * [backup-simplify]: Simplify 0 into 0 18.381 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 18.381 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 18.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 18.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.381 * [taylor]: Taking taylor expansion of re in im 18.381 * [backup-simplify]: Simplify re into re 18.381 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.382 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.382 * [taylor]: Taking taylor expansion of im in im 18.382 * [backup-simplify]: Simplify 0 into 0 18.382 * [backup-simplify]: Simplify 1 into 1 18.382 * [backup-simplify]: Simplify (* 1 1) into 1 18.382 * [backup-simplify]: Simplify (/ 1 1) into 1 18.383 * [backup-simplify]: Simplify (+ 0 1) into 1 18.383 * [backup-simplify]: Simplify (sqrt 1) into 1 18.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.385 * [backup-simplify]: Simplify (+ 0 0) into 0 18.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.386 * [taylor]: Taking taylor expansion of re in re 18.386 * [backup-simplify]: Simplify 0 into 0 18.386 * [backup-simplify]: Simplify 1 into 1 18.386 * [backup-simplify]: Simplify (* 1 1) into 1 18.387 * [backup-simplify]: Simplify (/ 1 1) into 1 18.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.387 * [taylor]: Taking taylor expansion of im in re 18.387 * [backup-simplify]: Simplify im into im 18.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.388 * [backup-simplify]: Simplify (+ 1 0) into 1 18.388 * [backup-simplify]: Simplify (sqrt 1) into 1 18.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.390 * [backup-simplify]: Simplify (+ 0 0) into 0 18.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.390 * [taylor]: Taking taylor expansion of re in re 18.390 * [backup-simplify]: Simplify 0 into 0 18.390 * [backup-simplify]: Simplify 1 into 1 18.391 * [backup-simplify]: Simplify (* 1 1) into 1 18.391 * [backup-simplify]: Simplify (/ 1 1) into 1 18.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.391 * [taylor]: Taking taylor expansion of im in re 18.391 * [backup-simplify]: Simplify im into im 18.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.392 * [backup-simplify]: Simplify (+ 1 0) into 1 18.392 * [backup-simplify]: Simplify (sqrt 1) into 1 18.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.394 * [backup-simplify]: Simplify (+ 0 0) into 0 18.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.395 * [taylor]: Taking taylor expansion of 1 in im 18.395 * [backup-simplify]: Simplify 1 into 1 18.395 * [taylor]: Taking taylor expansion of 0 in im 18.395 * [backup-simplify]: Simplify 0 into 0 18.395 * [backup-simplify]: Simplify 1 into 1 18.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.397 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.398 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.398 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 18.398 * [taylor]: Taking taylor expansion of 1/2 in im 18.398 * [backup-simplify]: Simplify 1/2 into 1/2 18.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.398 * [taylor]: Taking taylor expansion of im in im 18.398 * [backup-simplify]: Simplify 0 into 0 18.398 * [backup-simplify]: Simplify 1 into 1 18.399 * [backup-simplify]: Simplify (* 1 1) into 1 18.399 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 18.401 * [backup-simplify]: Simplify 0 into 0 18.401 * [backup-simplify]: Simplify 0 into 0 18.401 * [backup-simplify]: Simplify 0 into 0 18.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.403 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.403 * [backup-simplify]: Simplify (+ 0 0) into 0 18.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.404 * [taylor]: Taking taylor expansion of 0 in im 18.404 * [backup-simplify]: Simplify 0 into 0 18.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.406 * [backup-simplify]: Simplify 0 into 0 18.406 * [backup-simplify]: Simplify 0 into 0 18.406 * [backup-simplify]: Simplify 0 into 0 18.406 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 18.406 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 18.406 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 18.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.407 * [taylor]: Taking taylor expansion of re in im 18.407 * [backup-simplify]: Simplify re into re 18.407 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.407 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.407 * [taylor]: Taking taylor expansion of im in im 18.407 * [backup-simplify]: Simplify 0 into 0 18.407 * [backup-simplify]: Simplify 1 into 1 18.407 * [backup-simplify]: Simplify (* 1 1) into 1 18.408 * [backup-simplify]: Simplify (/ 1 1) into 1 18.408 * [backup-simplify]: Simplify (+ 0 1) into 1 18.413 * [backup-simplify]: Simplify (sqrt 1) into 1 18.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.415 * [backup-simplify]: Simplify (+ 0 0) into 0 18.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.416 * [taylor]: Taking taylor expansion of re in re 18.416 * [backup-simplify]: Simplify 0 into 0 18.416 * [backup-simplify]: Simplify 1 into 1 18.416 * [backup-simplify]: Simplify (* 1 1) into 1 18.416 * [backup-simplify]: Simplify (/ 1 1) into 1 18.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.416 * [taylor]: Taking taylor expansion of im in re 18.417 * [backup-simplify]: Simplify im into im 18.417 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.417 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.417 * [backup-simplify]: Simplify (+ 1 0) into 1 18.418 * [backup-simplify]: Simplify (sqrt 1) into 1 18.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.419 * [backup-simplify]: Simplify (+ 0 0) into 0 18.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.420 * [taylor]: Taking taylor expansion of re in re 18.420 * [backup-simplify]: Simplify 0 into 0 18.420 * [backup-simplify]: Simplify 1 into 1 18.420 * [backup-simplify]: Simplify (* 1 1) into 1 18.420 * [backup-simplify]: Simplify (/ 1 1) into 1 18.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.420 * [taylor]: Taking taylor expansion of im in re 18.420 * [backup-simplify]: Simplify im into im 18.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.420 * [backup-simplify]: Simplify (+ 1 0) into 1 18.421 * [backup-simplify]: Simplify (sqrt 1) into 1 18.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.422 * [backup-simplify]: Simplify (+ 0 0) into 0 18.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.422 * [taylor]: Taking taylor expansion of 1 in im 18.422 * [backup-simplify]: Simplify 1 into 1 18.422 * [taylor]: Taking taylor expansion of 0 in im 18.422 * [backup-simplify]: Simplify 0 into 0 18.422 * [backup-simplify]: Simplify 1 into 1 18.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.424 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.424 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.424 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 18.424 * [taylor]: Taking taylor expansion of 1/2 in im 18.424 * [backup-simplify]: Simplify 1/2 into 1/2 18.424 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.424 * [taylor]: Taking taylor expansion of im in im 18.424 * [backup-simplify]: Simplify 0 into 0 18.424 * [backup-simplify]: Simplify 1 into 1 18.425 * [backup-simplify]: Simplify (* 1 1) into 1 18.425 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 18.426 * [backup-simplify]: Simplify 0 into 0 18.426 * [backup-simplify]: Simplify 0 into 0 18.426 * [backup-simplify]: Simplify 0 into 0 18.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.427 * [backup-simplify]: Simplify (+ 0 0) into 0 18.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.428 * [taylor]: Taking taylor expansion of 0 in im 18.428 * [backup-simplify]: Simplify 0 into 0 18.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.429 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 18.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 18.429 * [backup-simplify]: Simplify (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) into (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) 18.429 * [approximate]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (im re) around 0 18.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 18.429 * [taylor]: Taking taylor expansion of 2.0 in re 18.429 * [backup-simplify]: Simplify 2.0 into 2.0 18.429 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 18.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.430 * [taylor]: Taking taylor expansion of im in re 18.430 * [backup-simplify]: Simplify im into im 18.430 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 18.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.430 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.430 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.430 * [taylor]: Taking taylor expansion of im in re 18.430 * [backup-simplify]: Simplify im into im 18.430 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.430 * [taylor]: Taking taylor expansion of re in re 18.430 * [backup-simplify]: Simplify 0 into 0 18.430 * [backup-simplify]: Simplify 1 into 1 18.430 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.430 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.430 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.430 * [backup-simplify]: Simplify (+ 0 0) into 0 18.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.430 * [taylor]: Taking taylor expansion of re in re 18.430 * [backup-simplify]: Simplify 0 into 0 18.430 * [backup-simplify]: Simplify 1 into 1 18.430 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.430 * [backup-simplify]: Simplify (- 0) into 0 18.431 * [backup-simplify]: Simplify (+ im 0) into im 18.431 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 18.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 18.431 * [taylor]: Taking taylor expansion of 2.0 in im 18.431 * [backup-simplify]: Simplify 2.0 into 2.0 18.431 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 18.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.431 * [taylor]: Taking taylor expansion of im in im 18.431 * [backup-simplify]: Simplify 0 into 0 18.431 * [backup-simplify]: Simplify 1 into 1 18.431 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.431 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.431 * [taylor]: Taking taylor expansion of im in im 18.431 * [backup-simplify]: Simplify 0 into 0 18.431 * [backup-simplify]: Simplify 1 into 1 18.431 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.431 * [taylor]: Taking taylor expansion of re in im 18.431 * [backup-simplify]: Simplify re into re 18.431 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.431 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.431 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.431 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.431 * [backup-simplify]: Simplify (+ 0 0) into 0 18.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.431 * [taylor]: Taking taylor expansion of re in im 18.431 * [backup-simplify]: Simplify re into re 18.432 * [backup-simplify]: Simplify (* 1 1) into 1 18.432 * [backup-simplify]: Simplify (- re) into (- re) 18.432 * [backup-simplify]: Simplify (+ re (- re)) into 0 18.432 * [backup-simplify]: Simplify (- 0) into 0 18.432 * [backup-simplify]: Simplify (+ 0 0) into 0 18.432 * [backup-simplify]: Simplify (* 1 1) into 1 18.433 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.433 * [backup-simplify]: Simplify (+ 1 0) into 1 18.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 18.434 * [backup-simplify]: Simplify (- 0) into 0 18.434 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 18.434 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 18.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 18.434 * [taylor]: Taking taylor expansion of 2.0 in im 18.434 * [backup-simplify]: Simplify 2.0 into 2.0 18.434 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 18.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.434 * [taylor]: Taking taylor expansion of im in im 18.434 * [backup-simplify]: Simplify 0 into 0 18.434 * [backup-simplify]: Simplify 1 into 1 18.434 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.434 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.434 * [taylor]: Taking taylor expansion of im in im 18.434 * [backup-simplify]: Simplify 0 into 0 18.434 * [backup-simplify]: Simplify 1 into 1 18.434 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.434 * [taylor]: Taking taylor expansion of re in im 18.434 * [backup-simplify]: Simplify re into re 18.434 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.434 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.434 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.434 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.434 * [backup-simplify]: Simplify (+ 0 0) into 0 18.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.435 * [taylor]: Taking taylor expansion of re in im 18.435 * [backup-simplify]: Simplify re into re 18.435 * [backup-simplify]: Simplify (* 1 1) into 1 18.435 * [backup-simplify]: Simplify (- re) into (- re) 18.435 * [backup-simplify]: Simplify (+ re (- re)) into 0 18.435 * [backup-simplify]: Simplify (- 0) into 0 18.435 * [backup-simplify]: Simplify (+ 0 0) into 0 18.436 * [backup-simplify]: Simplify (* 1 1) into 1 18.436 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.436 * [backup-simplify]: Simplify (+ 1 0) into 1 18.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 18.437 * [backup-simplify]: Simplify (- 0) into 0 18.437 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 18.437 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 18.437 * [backup-simplify]: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) 18.437 * [taylor]: Taking taylor expansion of (* 4.0 re) in re 18.437 * [taylor]: Taking taylor expansion of 4.0 in re 18.437 * [backup-simplify]: Simplify 4.0 into 4.0 18.437 * [taylor]: Taking taylor expansion of re in re 18.437 * [backup-simplify]: Simplify 0 into 0 18.437 * [backup-simplify]: Simplify 1 into 1 18.438 * [backup-simplify]: Simplify (* 4.0 0) into 0 18.438 * [backup-simplify]: Simplify 0 into 0 18.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.439 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 18.439 * [backup-simplify]: Simplify (+ 0 0) into 0 18.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 18.440 * [backup-simplify]: Simplify (- 0) into 0 18.440 * [backup-simplify]: Simplify (+ 0 0) into 0 18.440 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 18.440 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0 18.441 * [taylor]: Taking taylor expansion of 0 in re 18.441 * [backup-simplify]: Simplify 0 into 0 18.441 * [backup-simplify]: Simplify 0 into 0 18.441 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 18.441 * [backup-simplify]: Simplify 4.0 into 4.0 18.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.443 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 18.444 * [backup-simplify]: Simplify (+ 0 0) into 0 18.444 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 18.444 * [backup-simplify]: Simplify (- 0) into 0 18.444 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 18.445 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 18.445 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re)))) into (* 1.0 (/ 1 re)) 18.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 re)) in re 18.445 * [taylor]: Taking taylor expansion of 1.0 in re 18.445 * [backup-simplify]: Simplify 1.0 into 1.0 18.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.445 * [taylor]: Taking taylor expansion of re in re 18.445 * [backup-simplify]: Simplify 0 into 0 18.445 * [backup-simplify]: Simplify 1 into 1 18.445 * [backup-simplify]: Simplify (/ 1 1) into 1 18.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.446 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 18.446 * [backup-simplify]: Simplify 0 into 0 18.446 * [backup-simplify]: Simplify 0 into 0 18.447 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 18.447 * [backup-simplify]: Simplify 0 into 0 18.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.449 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 18.449 * [backup-simplify]: Simplify (+ 0 0) into 0 18.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 18.450 * [backup-simplify]: Simplify (- 0) into 0 18.450 * [backup-simplify]: Simplify (+ 0 0) into 0 18.450 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 18.451 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re))))) into 0 18.451 * [taylor]: Taking taylor expansion of 0 in re 18.451 * [backup-simplify]: Simplify 0 into 0 18.451 * [backup-simplify]: Simplify 0 into 0 18.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.452 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 18.452 * [backup-simplify]: Simplify 0 into 0 18.452 * [backup-simplify]: Simplify 0 into 0 18.452 * [backup-simplify]: Simplify (* 4.0 (* re 1)) into (* 4.0 re) 18.452 * [backup-simplify]: Simplify (/ (* 2.0 (* (/ 1 im) (/ 1 im))) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 18.452 * [approximate]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 18.452 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 18.452 * [taylor]: Taking taylor expansion of 2.0 in re 18.452 * [backup-simplify]: Simplify 2.0 into 2.0 18.452 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 18.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.452 * [taylor]: Taking taylor expansion of im in re 18.452 * [backup-simplify]: Simplify im into im 18.452 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 18.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.453 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.453 * [taylor]: Taking taylor expansion of re in re 18.453 * [backup-simplify]: Simplify 0 into 0 18.453 * [backup-simplify]: Simplify 1 into 1 18.453 * [backup-simplify]: Simplify (* 1 1) into 1 18.453 * [backup-simplify]: Simplify (/ 1 1) into 1 18.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.453 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.453 * [taylor]: Taking taylor expansion of im in re 18.453 * [backup-simplify]: Simplify im into im 18.453 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.453 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.454 * [backup-simplify]: Simplify (+ 1 0) into 1 18.454 * [backup-simplify]: Simplify (sqrt 1) into 1 18.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.455 * [backup-simplify]: Simplify (+ 0 0) into 0 18.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.455 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.455 * [taylor]: Taking taylor expansion of re in re 18.455 * [backup-simplify]: Simplify 0 into 0 18.455 * [backup-simplify]: Simplify 1 into 1 18.456 * [backup-simplify]: Simplify (/ 1 1) into 1 18.456 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.456 * [backup-simplify]: Simplify (- 1) into -1 18.456 * [backup-simplify]: Simplify (+ 1 -1) into 0 18.456 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 18.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.457 * [backup-simplify]: Simplify (- 0) into 0 18.457 * [backup-simplify]: Simplify (+ 0 0) into 0 18.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.457 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 18.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.459 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.459 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.460 * [backup-simplify]: Simplify (- 0) into 0 18.460 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 18.460 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 18.461 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 18.461 * [backup-simplify]: Simplify (/ 2.0 1/2) into 4.0 18.461 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 18.461 * [taylor]: Taking taylor expansion of 2.0 in im 18.461 * [backup-simplify]: Simplify 2.0 into 2.0 18.461 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 18.461 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.461 * [taylor]: Taking taylor expansion of im in im 18.462 * [backup-simplify]: Simplify 0 into 0 18.462 * [backup-simplify]: Simplify 1 into 1 18.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.462 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.462 * [taylor]: Taking taylor expansion of re in im 18.462 * [backup-simplify]: Simplify re into re 18.462 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.462 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.462 * [taylor]: Taking taylor expansion of im in im 18.462 * [backup-simplify]: Simplify 0 into 0 18.462 * [backup-simplify]: Simplify 1 into 1 18.462 * [backup-simplify]: Simplify (* 1 1) into 1 18.462 * [backup-simplify]: Simplify (/ 1 1) into 1 18.463 * [backup-simplify]: Simplify (+ 0 1) into 1 18.463 * [backup-simplify]: Simplify (sqrt 1) into 1 18.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.464 * [backup-simplify]: Simplify (+ 0 0) into 0 18.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.464 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.464 * [taylor]: Taking taylor expansion of re in im 18.464 * [backup-simplify]: Simplify re into re 18.464 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.465 * [backup-simplify]: Simplify (* 1 1) into 1 18.465 * [backup-simplify]: Simplify (+ 1 0) into 1 18.465 * [backup-simplify]: Simplify (* 1 1) into 1 18.465 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 18.465 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 18.465 * [taylor]: Taking taylor expansion of 2.0 in im 18.466 * [backup-simplify]: Simplify 2.0 into 2.0 18.466 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 18.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.466 * [taylor]: Taking taylor expansion of im in im 18.466 * [backup-simplify]: Simplify 0 into 0 18.466 * [backup-simplify]: Simplify 1 into 1 18.466 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.466 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.466 * [taylor]: Taking taylor expansion of re in im 18.466 * [backup-simplify]: Simplify re into re 18.466 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.466 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.466 * [taylor]: Taking taylor expansion of im in im 18.466 * [backup-simplify]: Simplify 0 into 0 18.466 * [backup-simplify]: Simplify 1 into 1 18.466 * [backup-simplify]: Simplify (* 1 1) into 1 18.466 * [backup-simplify]: Simplify (/ 1 1) into 1 18.467 * [backup-simplify]: Simplify (+ 0 1) into 1 18.467 * [backup-simplify]: Simplify (sqrt 1) into 1 18.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.468 * [backup-simplify]: Simplify (+ 0 0) into 0 18.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.468 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.468 * [taylor]: Taking taylor expansion of re in im 18.468 * [backup-simplify]: Simplify re into re 18.469 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.469 * [backup-simplify]: Simplify (* 1 1) into 1 18.469 * [backup-simplify]: Simplify (+ 1 0) into 1 18.469 * [backup-simplify]: Simplify (* 1 1) into 1 18.470 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 18.470 * [taylor]: Taking taylor expansion of 2.0 in re 18.470 * [backup-simplify]: Simplify 2.0 into 2.0 18.470 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 18.470 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 18.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.471 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 18.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (- (/ 1 re)) 1)))) into (* 2.0 (/ 1 re)) 18.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 18.471 * [taylor]: Taking taylor expansion of 2.0 in re 18.471 * [backup-simplify]: Simplify 2.0 into 2.0 18.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.471 * [taylor]: Taking taylor expansion of re in re 18.471 * [backup-simplify]: Simplify 0 into 0 18.471 * [backup-simplify]: Simplify 1 into 1 18.472 * [backup-simplify]: Simplify (/ 1 1) into 1 18.472 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 18.472 * [backup-simplify]: Simplify 2.0 into 2.0 18.472 * [backup-simplify]: Simplify 2.0 into 2.0 18.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.474 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 18.476 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 18.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 18.476 * [backup-simplify]: Simplify (- 0) into 0 18.476 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 18.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.478 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 18.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 2.0 (/ 1 re)) (/ (- (/ 1 re)) 1)))) into (* 1.0 (/ 1 (pow re 2))) 18.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 18.479 * [taylor]: Taking taylor expansion of 1.0 in re 18.479 * [backup-simplify]: Simplify 1.0 into 1.0 18.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.479 * [taylor]: Taking taylor expansion of re in re 18.479 * [backup-simplify]: Simplify 0 into 0 18.479 * [backup-simplify]: Simplify 1 into 1 18.479 * [backup-simplify]: Simplify (* 1 1) into 1 18.479 * [backup-simplify]: Simplify (/ 1 1) into 1 18.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.481 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 18.482 * [backup-simplify]: Simplify 0 into 0 18.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 18.483 * [backup-simplify]: Simplify 0 into 0 18.483 * [backup-simplify]: Simplify 0 into 0 18.483 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 18.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.486 * [backup-simplify]: Simplify (+ 0 0) into 0 18.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 18.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 18.487 * [backup-simplify]: Simplify (- 0) into 0 18.488 * [backup-simplify]: Simplify (+ 0 0) into 0 18.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 18.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* (* 2.0 (/ 1 re)) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1.0 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 18.491 * [taylor]: Taking taylor expansion of 0 in re 18.491 * [backup-simplify]: Simplify 0 into 0 18.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.494 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 18.494 * [backup-simplify]: Simplify 0 into 0 18.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.496 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 18.496 * [backup-simplify]: Simplify 0 into 0 18.496 * [backup-simplify]: Simplify 0 into 0 18.496 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 im)))) (* 2.0 (* (/ 1 (/ 1 re)) 1))) into (+ (* 2.0 re) (* 2.0 im)) 18.497 * [backup-simplify]: Simplify (/ (* 2.0 (* (/ 1 (- im)) (/ 1 (- im)))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 18.497 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 18.497 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 18.497 * [taylor]: Taking taylor expansion of 2.0 in re 18.497 * [backup-simplify]: Simplify 2.0 into 2.0 18.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 18.497 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.497 * [taylor]: Taking taylor expansion of re in re 18.497 * [backup-simplify]: Simplify 0 into 0 18.497 * [backup-simplify]: Simplify 1 into 1 18.497 * [backup-simplify]: Simplify (/ 1 1) into 1 18.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.497 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.498 * [taylor]: Taking taylor expansion of re in re 18.498 * [backup-simplify]: Simplify 0 into 0 18.498 * [backup-simplify]: Simplify 1 into 1 18.498 * [backup-simplify]: Simplify (* 1 1) into 1 18.498 * [backup-simplify]: Simplify (/ 1 1) into 1 18.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.498 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.498 * [taylor]: Taking taylor expansion of im in re 18.498 * [backup-simplify]: Simplify im into im 18.498 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.499 * [backup-simplify]: Simplify (+ 1 0) into 1 18.499 * [backup-simplify]: Simplify (sqrt 1) into 1 18.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.501 * [backup-simplify]: Simplify (+ 0 0) into 0 18.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.502 * [taylor]: Taking taylor expansion of im in re 18.502 * [backup-simplify]: Simplify im into im 18.502 * [backup-simplify]: Simplify (+ 1 1) into 2 18.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.502 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 18.503 * [backup-simplify]: Simplify (/ 2.0 (* 2 (pow im 2))) into (/ 1.0 (pow im 2)) 18.503 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 18.503 * [taylor]: Taking taylor expansion of 2.0 in im 18.503 * [backup-simplify]: Simplify 2.0 into 2.0 18.503 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 18.503 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.503 * [taylor]: Taking taylor expansion of re in im 18.503 * [backup-simplify]: Simplify re into re 18.503 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.503 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.503 * [taylor]: Taking taylor expansion of re in im 18.503 * [backup-simplify]: Simplify re into re 18.503 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.503 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.503 * [taylor]: Taking taylor expansion of im in im 18.503 * [backup-simplify]: Simplify 0 into 0 18.503 * [backup-simplify]: Simplify 1 into 1 18.504 * [backup-simplify]: Simplify (* 1 1) into 1 18.504 * [backup-simplify]: Simplify (/ 1 1) into 1 18.504 * [backup-simplify]: Simplify (+ 0 1) into 1 18.505 * [backup-simplify]: Simplify (sqrt 1) into 1 18.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.507 * [backup-simplify]: Simplify (+ 0 0) into 0 18.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.507 * [taylor]: Taking taylor expansion of im in im 18.507 * [backup-simplify]: Simplify 0 into 0 18.508 * [backup-simplify]: Simplify 1 into 1 18.508 * [backup-simplify]: Simplify (+ 0 1) into 1 18.508 * [backup-simplify]: Simplify (* 1 1) into 1 18.509 * [backup-simplify]: Simplify (* 1 1) into 1 18.509 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 18.509 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 18.509 * [taylor]: Taking taylor expansion of 2.0 in im 18.509 * [backup-simplify]: Simplify 2.0 into 2.0 18.509 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 18.509 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.509 * [taylor]: Taking taylor expansion of re in im 18.509 * [backup-simplify]: Simplify re into re 18.509 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.510 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.510 * [taylor]: Taking taylor expansion of re in im 18.510 * [backup-simplify]: Simplify re into re 18.510 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.510 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.510 * [taylor]: Taking taylor expansion of im in im 18.510 * [backup-simplify]: Simplify 0 into 0 18.510 * [backup-simplify]: Simplify 1 into 1 18.510 * [backup-simplify]: Simplify (* 1 1) into 1 18.511 * [backup-simplify]: Simplify (/ 1 1) into 1 18.511 * [backup-simplify]: Simplify (+ 0 1) into 1 18.511 * [backup-simplify]: Simplify (sqrt 1) into 1 18.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.513 * [backup-simplify]: Simplify (+ 0 0) into 0 18.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.514 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.514 * [taylor]: Taking taylor expansion of im in im 18.514 * [backup-simplify]: Simplify 0 into 0 18.514 * [backup-simplify]: Simplify 1 into 1 18.514 * [backup-simplify]: Simplify (+ 0 1) into 1 18.515 * [backup-simplify]: Simplify (* 1 1) into 1 18.515 * [backup-simplify]: Simplify (* 1 1) into 1 18.515 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 18.516 * [taylor]: Taking taylor expansion of 2.0 in re 18.516 * [backup-simplify]: Simplify 2.0 into 2.0 18.516 * [backup-simplify]: Simplify 0 into 0 18.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.516 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 18.517 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 18.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (/ 1 re) 1)))) into (- (* 2.0 (/ 1 re))) 18.517 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 re))) in re 18.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 18.518 * [taylor]: Taking taylor expansion of 2.0 in re 18.518 * [backup-simplify]: Simplify 2.0 into 2.0 18.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.518 * [taylor]: Taking taylor expansion of re in re 18.518 * [backup-simplify]: Simplify 0 into 0 18.518 * [backup-simplify]: Simplify 1 into 1 18.518 * [backup-simplify]: Simplify (/ 1 1) into 1 18.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.521 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 18.521 * [backup-simplify]: Simplify (- 0) into 0 18.521 * [backup-simplify]: Simplify 0 into 0 18.521 * [backup-simplify]: Simplify 0 into 0 18.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 18.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.526 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 18.527 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 18.527 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 18.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 18.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (* 2.0 (/ 1 re))) (/ (/ 1 re) 1)))) into (* 1.0 (/ 1 (pow re 2))) 18.529 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 18.529 * [taylor]: Taking taylor expansion of 1.0 in re 18.529 * [backup-simplify]: Simplify 1.0 into 1.0 18.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.529 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.529 * [taylor]: Taking taylor expansion of re in re 18.529 * [backup-simplify]: Simplify 0 into 0 18.529 * [backup-simplify]: Simplify 1 into 1 18.529 * [backup-simplify]: Simplify (* 1 1) into 1 18.530 * [backup-simplify]: Simplify (/ 1 1) into 1 18.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.536 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.536 * [backup-simplify]: Simplify 0 into 0 18.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.538 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.539 * [backup-simplify]: Simplify (- 0) into 0 18.539 * [backup-simplify]: Simplify 0 into 0 18.539 * [backup-simplify]: Simplify 0 into 0 18.539 * [backup-simplify]: Simplify 0 into 0 18.539 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 18.539 * [backup-simplify]: Simplify (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 18.539 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 18.539 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 18.539 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 18.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.539 * [taylor]: Taking taylor expansion of 2.0 in re 18.539 * [backup-simplify]: Simplify 2.0 into 2.0 18.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.540 * [taylor]: Taking taylor expansion of im in re 18.541 * [backup-simplify]: Simplify im into im 18.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 18.541 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 18.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 18.541 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.541 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.541 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.541 * [taylor]: Taking taylor expansion of im in re 18.541 * [backup-simplify]: Simplify im into im 18.541 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.541 * [taylor]: Taking taylor expansion of re in re 18.541 * [backup-simplify]: Simplify 0 into 0 18.541 * [backup-simplify]: Simplify 1 into 1 18.541 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.541 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.541 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.541 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.542 * [backup-simplify]: Simplify (+ 0 0) into 0 18.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.542 * [taylor]: Taking taylor expansion of re in re 18.542 * [backup-simplify]: Simplify 0 into 0 18.542 * [backup-simplify]: Simplify 1 into 1 18.542 * [backup-simplify]: Simplify (- 0) into 0 18.542 * [backup-simplify]: Simplify (+ im 0) into im 18.542 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 18.542 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 18.543 * [backup-simplify]: Simplify (- 1) into -1 18.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 18.543 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 18.543 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 18.543 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 18.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.543 * [taylor]: Taking taylor expansion of 2.0 in im 18.544 * [backup-simplify]: Simplify 2.0 into 2.0 18.544 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.545 * [taylor]: Taking taylor expansion of im in im 18.545 * [backup-simplify]: Simplify 0 into 0 18.545 * [backup-simplify]: Simplify 1 into 1 18.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 18.545 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 18.545 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.545 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.545 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.545 * [taylor]: Taking taylor expansion of im in im 18.545 * [backup-simplify]: Simplify 0 into 0 18.545 * [backup-simplify]: Simplify 1 into 1 18.545 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.545 * [taylor]: Taking taylor expansion of re in im 18.545 * [backup-simplify]: Simplify re into re 18.545 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.545 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.545 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.545 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.546 * [backup-simplify]: Simplify (+ 0 0) into 0 18.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.546 * [taylor]: Taking taylor expansion of re in im 18.546 * [backup-simplify]: Simplify re into re 18.546 * [backup-simplify]: Simplify (- re) into (- re) 18.546 * [backup-simplify]: Simplify (+ re (- re)) into 0 18.546 * [backup-simplify]: Simplify (- 0) into 0 18.547 * [backup-simplify]: Simplify (+ 0 0) into 0 18.547 * [backup-simplify]: Simplify (* 1 1) into 1 18.548 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.548 * [backup-simplify]: Simplify (+ 1 0) into 1 18.549 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 18.549 * [backup-simplify]: Simplify (- 0) into 0 18.549 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 18.550 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 18.550 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 18.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.551 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 18.551 * [backup-simplify]: Simplify (+ 0 0) into 0 18.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 18.552 * [backup-simplify]: Simplify (- 0) into 0 18.552 * [backup-simplify]: Simplify (+ 0 0) into 0 18.552 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 18.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 18.553 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 18.553 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 18.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.553 * [taylor]: Taking taylor expansion of 2.0 in im 18.553 * [backup-simplify]: Simplify 2.0 into 2.0 18.553 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.554 * [taylor]: Taking taylor expansion of im in im 18.554 * [backup-simplify]: Simplify 0 into 0 18.554 * [backup-simplify]: Simplify 1 into 1 18.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 18.554 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 18.554 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.554 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.554 * [taylor]: Taking taylor expansion of im in im 18.554 * [backup-simplify]: Simplify 0 into 0 18.554 * [backup-simplify]: Simplify 1 into 1 18.554 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.554 * [taylor]: Taking taylor expansion of re in im 18.554 * [backup-simplify]: Simplify re into re 18.554 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.554 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.554 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.555 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.555 * [backup-simplify]: Simplify (+ 0 0) into 0 18.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.555 * [taylor]: Taking taylor expansion of re in im 18.555 * [backup-simplify]: Simplify re into re 18.555 * [backup-simplify]: Simplify (- re) into (- re) 18.555 * [backup-simplify]: Simplify (+ re (- re)) into 0 18.556 * [backup-simplify]: Simplify (- 0) into 0 18.556 * [backup-simplify]: Simplify (+ 0 0) into 0 18.556 * [backup-simplify]: Simplify (* 1 1) into 1 18.557 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 18.557 * [backup-simplify]: Simplify (+ 1 0) into 1 18.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 18.558 * [backup-simplify]: Simplify (- 0) into 0 18.558 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 18.558 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 18.559 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 18.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.560 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 18.561 * [backup-simplify]: Simplify (+ 0 0) into 0 18.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 18.561 * [backup-simplify]: Simplify (- 0) into 0 18.561 * [backup-simplify]: Simplify (+ 0 0) into 0 18.562 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 18.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 18.562 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 18.563 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 18.563 * [taylor]: Taking taylor expansion of 0 in re 18.563 * [backup-simplify]: Simplify 0 into 0 18.563 * [backup-simplify]: Simplify 0 into 0 18.565 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 18.566 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 18.566 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 18.566 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 18.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.566 * [taylor]: Taking taylor expansion of 2.0 in re 18.566 * [backup-simplify]: Simplify 2.0 into 2.0 18.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.567 * [taylor]: Taking taylor expansion of (sqrt 2) in re 18.567 * [taylor]: Taking taylor expansion of 2 in re 18.567 * [backup-simplify]: Simplify 2 into 2 18.568 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 18.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 18.568 * [taylor]: Taking taylor expansion of (sqrt re) in re 18.568 * [taylor]: Taking taylor expansion of re in re 18.568 * [backup-simplify]: Simplify 0 into 0 18.569 * [backup-simplify]: Simplify 1 into 1 18.569 * [backup-simplify]: Simplify (sqrt 0) into 0 18.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.572 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 18.573 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 18.573 * [backup-simplify]: Simplify 0 into 0 18.573 * [backup-simplify]: Simplify 0 into 0 18.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.575 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 18.575 * [backup-simplify]: Simplify (+ 0 0) into 0 18.576 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 18.576 * [backup-simplify]: Simplify (- 0) into 0 18.576 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 18.577 * [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)) 18.578 * [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))))) 18.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.580 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 18.582 * [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 18.582 * [taylor]: Taking taylor expansion of 0 in re 18.582 * [backup-simplify]: Simplify 0 into 0 18.582 * [backup-simplify]: Simplify 0 into 0 18.583 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 18.587 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.590 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.590 * [backup-simplify]: Simplify 0 into 0 18.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.593 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 18.593 * [backup-simplify]: Simplify (+ 0 0) into 0 18.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 18.594 * [backup-simplify]: Simplify (- 0) into 0 18.594 * [backup-simplify]: Simplify (+ 0 0) into 0 18.595 * [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 18.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 18.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.599 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.602 * [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))))) 18.602 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 18.602 * [taylor]: Taking taylor expansion of 1/4 in re 18.602 * [backup-simplify]: Simplify 1/4 into 1/4 18.602 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 18.602 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 18.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.602 * [taylor]: Taking taylor expansion of 2.0 in re 18.602 * [backup-simplify]: Simplify 2.0 into 2.0 18.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.603 * [taylor]: Taking taylor expansion of (sqrt 2) in re 18.603 * [taylor]: Taking taylor expansion of 2 in re 18.603 * [backup-simplify]: Simplify 2 into 2 18.604 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 18.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 18.606 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 18.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 18.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 18.606 * [taylor]: Taking taylor expansion of (pow re 3) in re 18.606 * [taylor]: Taking taylor expansion of re in re 18.606 * [backup-simplify]: Simplify 0 into 0 18.606 * [backup-simplify]: Simplify 1 into 1 18.606 * [backup-simplify]: Simplify (* 1 1) into 1 18.607 * [backup-simplify]: Simplify (* 1 1) into 1 18.607 * [backup-simplify]: Simplify (/ 1 1) into 1 18.607 * [backup-simplify]: Simplify (sqrt 0) into 0 18.609 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.614 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.615 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 18.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 18.619 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 18.623 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 18.626 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 18.627 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 18.633 * [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)))) 18.635 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 18.635 * [backup-simplify]: Simplify 0 into 0 18.637 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 18.638 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.639 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 18.641 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.643 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 18.649 * [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))))))))) 18.649 * [backup-simplify]: Simplify (sqrt (/ (* 2.0 (* (/ 1 im) (/ 1 im))) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 18.649 * [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 18.649 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 18.649 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 18.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.649 * [taylor]: Taking taylor expansion of 2.0 in re 18.649 * [backup-simplify]: Simplify 2.0 into 2.0 18.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.652 * [taylor]: Taking taylor expansion of im in re 18.652 * [backup-simplify]: Simplify im into im 18.652 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 18.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 18.652 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 18.652 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 18.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.652 * [taylor]: Taking taylor expansion of re in re 18.652 * [backup-simplify]: Simplify 0 into 0 18.652 * [backup-simplify]: Simplify 1 into 1 18.652 * [backup-simplify]: Simplify (* 1 1) into 1 18.652 * [backup-simplify]: Simplify (/ 1 1) into 1 18.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.652 * [taylor]: Taking taylor expansion of im in re 18.653 * [backup-simplify]: Simplify im into im 18.653 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.653 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.653 * [backup-simplify]: Simplify (+ 1 0) into 1 18.653 * [backup-simplify]: Simplify (sqrt 1) into 1 18.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.654 * [backup-simplify]: Simplify (+ 0 0) into 0 18.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.655 * [taylor]: Taking taylor expansion of re in re 18.655 * [backup-simplify]: Simplify 0 into 0 18.655 * [backup-simplify]: Simplify 1 into 1 18.655 * [backup-simplify]: Simplify (/ 1 1) into 1 18.655 * [backup-simplify]: Simplify (- 1) into -1 18.656 * [backup-simplify]: Simplify (+ 1 -1) into 0 18.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.657 * [backup-simplify]: Simplify (- 0) into 0 18.657 * [backup-simplify]: Simplify (+ 0 0) into 0 18.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.659 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.660 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.662 * [backup-simplify]: Simplify (- 0) into 0 18.662 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 18.662 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 18.662 * [backup-simplify]: Simplify (sqrt 0) into 0 18.663 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 18.663 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 18.663 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.663 * [taylor]: Taking taylor expansion of 2.0 in im 18.663 * [backup-simplify]: Simplify 2.0 into 2.0 18.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.664 * [taylor]: Taking taylor expansion of im in im 18.664 * [backup-simplify]: Simplify 0 into 0 18.664 * [backup-simplify]: Simplify 1 into 1 18.665 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 18.665 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 18.665 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.665 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.665 * [taylor]: Taking taylor expansion of re in im 18.665 * [backup-simplify]: Simplify re into re 18.665 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.666 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.666 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.666 * [taylor]: Taking taylor expansion of im in im 18.666 * [backup-simplify]: Simplify 0 into 0 18.666 * [backup-simplify]: Simplify 1 into 1 18.666 * [backup-simplify]: Simplify (* 1 1) into 1 18.666 * [backup-simplify]: Simplify (/ 1 1) into 1 18.667 * [backup-simplify]: Simplify (+ 0 1) into 1 18.667 * [backup-simplify]: Simplify (sqrt 1) into 1 18.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.669 * [backup-simplify]: Simplify (+ 0 0) into 0 18.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.670 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.670 * [taylor]: Taking taylor expansion of re in im 18.670 * [backup-simplify]: Simplify re into re 18.670 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.670 * [backup-simplify]: Simplify (+ 1 0) into 1 18.671 * [backup-simplify]: Simplify (/ 1 1) into 1 18.671 * [backup-simplify]: Simplify (sqrt 0) into 0 18.673 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.673 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 18.673 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.673 * [taylor]: Taking taylor expansion of 2.0 in im 18.673 * [backup-simplify]: Simplify 2.0 into 2.0 18.673 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.674 * [taylor]: Taking taylor expansion of im in im 18.674 * [backup-simplify]: Simplify 0 into 0 18.674 * [backup-simplify]: Simplify 1 into 1 18.675 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 18.675 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 18.675 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.675 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.675 * [taylor]: Taking taylor expansion of re in im 18.675 * [backup-simplify]: Simplify re into re 18.675 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.675 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.675 * [taylor]: Taking taylor expansion of im in im 18.675 * [backup-simplify]: Simplify 0 into 0 18.675 * [backup-simplify]: Simplify 1 into 1 18.675 * [backup-simplify]: Simplify (* 1 1) into 1 18.676 * [backup-simplify]: Simplify (/ 1 1) into 1 18.676 * [backup-simplify]: Simplify (+ 0 1) into 1 18.676 * [backup-simplify]: Simplify (sqrt 1) into 1 18.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.677 * [backup-simplify]: Simplify (+ 0 0) into 0 18.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.678 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.678 * [taylor]: Taking taylor expansion of re in im 18.678 * [backup-simplify]: Simplify re into re 18.678 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.678 * [backup-simplify]: Simplify (+ 1 0) into 1 18.678 * [backup-simplify]: Simplify (/ 1 1) into 1 18.678 * [backup-simplify]: Simplify (sqrt 0) into 0 18.679 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.680 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 18.680 * [taylor]: Taking taylor expansion of 0 in re 18.680 * [backup-simplify]: Simplify 0 into 0 18.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.682 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 18.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 18.682 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.682 * [taylor]: Taking taylor expansion of +nan.0 in re 18.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.682 * [taylor]: Taking taylor expansion of 2.0 in re 18.682 * [backup-simplify]: Simplify 2.0 into 2.0 18.682 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.683 * [backup-simplify]: Simplify 0 into 0 18.683 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 18.683 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 18.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 18.684 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 18.684 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.686 * [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))))) 18.686 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 18.686 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 18.686 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.686 * [taylor]: Taking taylor expansion of +nan.0 in re 18.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.686 * [taylor]: Taking taylor expansion of 2.0 in re 18.686 * [backup-simplify]: Simplify 2.0 into 2.0 18.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 18.686 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.686 * [taylor]: Taking taylor expansion of +nan.0 in re 18.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.686 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.686 * [taylor]: Taking taylor expansion of 2.0 in re 18.686 * [backup-simplify]: Simplify 2.0 into 2.0 18.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.687 * [taylor]: Taking taylor expansion of re in re 18.687 * [backup-simplify]: Simplify 0 into 0 18.687 * [backup-simplify]: Simplify 1 into 1 18.688 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.688 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.689 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.690 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.692 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.693 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.693 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.694 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.695 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.695 * [backup-simplify]: Simplify 0 into 0 18.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.696 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 18.697 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 18.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 18.697 * [backup-simplify]: Simplify (- 0) into 0 18.697 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 18.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 18.698 * [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)))) 18.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.701 * [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)))))))) 18.701 * [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 18.701 * [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 18.701 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.701 * [taylor]: Taking taylor expansion of +nan.0 in re 18.701 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.701 * [taylor]: Taking taylor expansion of 2.0 in re 18.701 * [backup-simplify]: Simplify 2.0 into 2.0 18.701 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.702 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 18.702 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 18.702 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.702 * [taylor]: Taking taylor expansion of +nan.0 in re 18.702 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.702 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.702 * [taylor]: Taking taylor expansion of 2.0 in re 18.702 * [backup-simplify]: Simplify 2.0 into 2.0 18.702 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.702 * [taylor]: Taking taylor expansion of re in re 18.702 * [backup-simplify]: Simplify 0 into 0 18.702 * [backup-simplify]: Simplify 1 into 1 18.703 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 18.703 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 18.703 * [taylor]: Taking taylor expansion of +nan.0 in re 18.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.703 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 18.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.703 * [taylor]: Taking taylor expansion of 2.0 in re 18.703 * [backup-simplify]: Simplify 2.0 into 2.0 18.703 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.704 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.704 * [taylor]: Taking taylor expansion of re in re 18.704 * [backup-simplify]: Simplify 0 into 0 18.704 * [backup-simplify]: Simplify 1 into 1 18.704 * [backup-simplify]: Simplify (* 1 1) into 1 18.705 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.705 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.707 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.707 * [backup-simplify]: Simplify (- 0) into 0 18.709 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 18.711 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.713 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.715 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.717 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.721 * [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))))))) 18.722 * [backup-simplify]: Simplify (sqrt (/ (* 2.0 (* (/ 1 (- im)) (/ 1 (- im)))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 18.722 * [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 18.722 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 18.722 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 18.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.722 * [taylor]: Taking taylor expansion of 2.0 in re 18.722 * [backup-simplify]: Simplify 2.0 into 2.0 18.723 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.723 * [taylor]: Taking taylor expansion of im in re 18.723 * [backup-simplify]: Simplify im into im 18.724 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 18.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 18.724 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 18.724 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.724 * [taylor]: Taking taylor expansion of re in re 18.724 * [backup-simplify]: Simplify 0 into 0 18.724 * [backup-simplify]: Simplify 1 into 1 18.724 * [backup-simplify]: Simplify (/ 1 1) into 1 18.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.724 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.724 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.725 * [taylor]: Taking taylor expansion of re in re 18.725 * [backup-simplify]: Simplify 0 into 0 18.725 * [backup-simplify]: Simplify 1 into 1 18.725 * [backup-simplify]: Simplify (* 1 1) into 1 18.725 * [backup-simplify]: Simplify (/ 1 1) into 1 18.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.725 * [taylor]: Taking taylor expansion of im in re 18.725 * [backup-simplify]: Simplify im into im 18.725 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.726 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.726 * [backup-simplify]: Simplify (+ 1 0) into 1 18.726 * [backup-simplify]: Simplify (sqrt 1) into 1 18.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.728 * [backup-simplify]: Simplify (+ 0 0) into 0 18.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.729 * [backup-simplify]: Simplify (+ 1 1) into 2 18.730 * [backup-simplify]: Simplify (/ 1 2) into 1/2 18.730 * [backup-simplify]: Simplify (sqrt 0) into 0 18.732 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 18.732 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 18.732 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.732 * [taylor]: Taking taylor expansion of 2.0 in im 18.732 * [backup-simplify]: Simplify 2.0 into 2.0 18.732 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.733 * [taylor]: Taking taylor expansion of im in im 18.733 * [backup-simplify]: Simplify 0 into 0 18.733 * [backup-simplify]: Simplify 1 into 1 18.734 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.734 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 18.734 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 18.734 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.734 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.734 * [taylor]: Taking taylor expansion of re in im 18.734 * [backup-simplify]: Simplify re into re 18.734 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.734 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.734 * [taylor]: Taking taylor expansion of re in im 18.734 * [backup-simplify]: Simplify re into re 18.734 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.734 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.735 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.735 * [taylor]: Taking taylor expansion of im in im 18.735 * [backup-simplify]: Simplify 0 into 0 18.735 * [backup-simplify]: Simplify 1 into 1 18.735 * [backup-simplify]: Simplify (* 1 1) into 1 18.735 * [backup-simplify]: Simplify (/ 1 1) into 1 18.736 * [backup-simplify]: Simplify (+ 0 1) into 1 18.736 * [backup-simplify]: Simplify (sqrt 1) into 1 18.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.738 * [backup-simplify]: Simplify (+ 0 0) into 0 18.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.739 * [backup-simplify]: Simplify (+ 0 1) into 1 18.739 * [backup-simplify]: Simplify (/ 1 1) into 1 18.740 * [backup-simplify]: Simplify (sqrt 0) into 0 18.741 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.741 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 18.741 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 18.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 18.742 * [taylor]: Taking taylor expansion of 2.0 in im 18.742 * [backup-simplify]: Simplify 2.0 into 2.0 18.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.743 * [taylor]: Taking taylor expansion of im in im 18.743 * [backup-simplify]: Simplify 0 into 0 18.743 * [backup-simplify]: Simplify 1 into 1 18.744 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 18.744 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 18.744 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.744 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.744 * [taylor]: Taking taylor expansion of re in im 18.744 * [backup-simplify]: Simplify re into re 18.744 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.744 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.744 * [taylor]: Taking taylor expansion of re in im 18.744 * [backup-simplify]: Simplify re into re 18.744 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.744 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.745 * [taylor]: Taking taylor expansion of im in im 18.745 * [backup-simplify]: Simplify 0 into 0 18.745 * [backup-simplify]: Simplify 1 into 1 18.745 * [backup-simplify]: Simplify (* 1 1) into 1 18.745 * [backup-simplify]: Simplify (/ 1 1) into 1 18.746 * [backup-simplify]: Simplify (+ 0 1) into 1 18.746 * [backup-simplify]: Simplify (sqrt 1) into 1 18.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.748 * [backup-simplify]: Simplify (+ 0 0) into 0 18.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.749 * [backup-simplify]: Simplify (+ 0 1) into 1 18.750 * [backup-simplify]: Simplify (/ 1 1) into 1 18.750 * [backup-simplify]: Simplify (sqrt 0) into 0 18.752 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 18.752 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 18.752 * [taylor]: Taking taylor expansion of 0 in re 18.752 * [backup-simplify]: Simplify 0 into 0 18.752 * [backup-simplify]: Simplify 0 into 0 18.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 18.756 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 18.756 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.756 * [taylor]: Taking taylor expansion of +nan.0 in re 18.756 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.756 * [taylor]: Taking taylor expansion of 2.0 in re 18.756 * [backup-simplify]: Simplify 2.0 into 2.0 18.756 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.758 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.759 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.761 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.761 * [backup-simplify]: Simplify 0 into 0 18.761 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 18.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 18.762 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 18.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.766 * [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))))) 18.766 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 18.766 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 18.766 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.766 * [taylor]: Taking taylor expansion of +nan.0 in re 18.766 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.766 * [taylor]: Taking taylor expansion of 2.0 in re 18.766 * [backup-simplify]: Simplify 2.0 into 2.0 18.767 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.768 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 18.768 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.768 * [taylor]: Taking taylor expansion of +nan.0 in re 18.768 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.768 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.768 * [taylor]: Taking taylor expansion of 2.0 in re 18.768 * [backup-simplify]: Simplify 2.0 into 2.0 18.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.771 * [taylor]: Taking taylor expansion of re in re 18.771 * [backup-simplify]: Simplify 0 into 0 18.771 * [backup-simplify]: Simplify 1 into 1 18.772 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.773 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.775 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.775 * [backup-simplify]: Simplify (- 0) into 0 18.777 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 18.779 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.781 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.782 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.782 * [backup-simplify]: Simplify (- 0) into 0 18.782 * [backup-simplify]: Simplify 0 into 0 18.782 * [backup-simplify]: Simplify 0 into 0 18.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 18.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.784 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 18.785 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 18.786 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 18.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 18.787 * [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)))) 18.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 18.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.792 * [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)))))))) 18.792 * [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 18.792 * [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 18.792 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 18.792 * [taylor]: Taking taylor expansion of +nan.0 in re 18.792 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.792 * [taylor]: Taking taylor expansion of 2.0 in re 18.792 * [backup-simplify]: Simplify 2.0 into 2.0 18.792 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.793 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 18.793 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 18.793 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 18.793 * [taylor]: Taking taylor expansion of +nan.0 in re 18.793 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 18.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.793 * [taylor]: Taking taylor expansion of 2.0 in re 18.793 * [backup-simplify]: Simplify 2.0 into 2.0 18.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.794 * [taylor]: Taking taylor expansion of re in re 18.794 * [backup-simplify]: Simplify 0 into 0 18.795 * [backup-simplify]: Simplify 1 into 1 18.795 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 18.796 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 18.796 * [taylor]: Taking taylor expansion of +nan.0 in re 18.796 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.796 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 18.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 18.796 * [taylor]: Taking taylor expansion of 2.0 in re 18.796 * [backup-simplify]: Simplify 2.0 into 2.0 18.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 18.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 18.797 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.797 * [taylor]: Taking taylor expansion of re in re 18.797 * [backup-simplify]: Simplify 0 into 0 18.797 * [backup-simplify]: Simplify 1 into 1 18.797 * [backup-simplify]: Simplify (* 1 1) into 1 18.798 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 18.799 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 18.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.801 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 18.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 18.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 18.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.807 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 18.807 * [backup-simplify]: Simplify (- 0) into 0 18.808 * [backup-simplify]: Simplify (+ 0 0) into 0 18.808 * [backup-simplify]: Simplify (- 0) into 0 18.810 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 18.812 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 18.813 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 18.818 * [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)))))))) 18.818 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 18.818 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 18.818 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 18.819 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 18.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 18.819 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 18.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.819 * [taylor]: Taking taylor expansion of im in im 18.819 * [backup-simplify]: Simplify 0 into 0 18.819 * [backup-simplify]: Simplify 1 into 1 18.819 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.819 * [taylor]: Taking taylor expansion of re in im 18.819 * [backup-simplify]: Simplify re into re 18.819 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.819 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 18.819 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 18.819 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 18.819 * [backup-simplify]: Simplify (+ 0 0) into 0 18.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 18.820 * [taylor]: Taking taylor expansion of re in im 18.820 * [backup-simplify]: Simplify re into re 18.820 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 18.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.820 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.820 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.820 * [taylor]: Taking taylor expansion of im in re 18.820 * [backup-simplify]: Simplify im into im 18.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.820 * [taylor]: Taking taylor expansion of re in re 18.820 * [backup-simplify]: Simplify 0 into 0 18.820 * [backup-simplify]: Simplify 1 into 1 18.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.820 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.820 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.820 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.821 * [backup-simplify]: Simplify (+ 0 0) into 0 18.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.821 * [taylor]: Taking taylor expansion of re in re 18.821 * [backup-simplify]: Simplify 0 into 0 18.821 * [backup-simplify]: Simplify 1 into 1 18.821 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 18.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 18.821 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 18.821 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.821 * [taylor]: Taking taylor expansion of im in re 18.821 * [backup-simplify]: Simplify im into im 18.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.821 * [taylor]: Taking taylor expansion of re in re 18.821 * [backup-simplify]: Simplify 0 into 0 18.821 * [backup-simplify]: Simplify 1 into 1 18.821 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.821 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 18.821 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 18.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.822 * [backup-simplify]: Simplify (+ 0 0) into 0 18.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 18.822 * [taylor]: Taking taylor expansion of re in re 18.822 * [backup-simplify]: Simplify 0 into 0 18.822 * [backup-simplify]: Simplify 1 into 1 18.822 * [backup-simplify]: Simplify (- 0) into 0 18.822 * [backup-simplify]: Simplify (+ im 0) into im 18.822 * [taylor]: Taking taylor expansion of im in im 18.822 * [backup-simplify]: Simplify 0 into 0 18.822 * [backup-simplify]: Simplify 1 into 1 18.822 * [backup-simplify]: Simplify 0 into 0 18.823 * [backup-simplify]: Simplify (- 1) into -1 18.823 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.823 * [taylor]: Taking taylor expansion of -1 in im 18.823 * [backup-simplify]: Simplify -1 into -1 18.823 * [backup-simplify]: Simplify -1 into -1 18.823 * [backup-simplify]: Simplify 1 into 1 18.824 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 18.824 * [backup-simplify]: Simplify (* 1 1) into 1 18.825 * [backup-simplify]: Simplify (+ 0 1) into 1 18.825 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 18.826 * [backup-simplify]: Simplify (- 0) into 0 18.826 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 18.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 18.826 * [taylor]: Taking taylor expansion of 1/2 in im 18.826 * [backup-simplify]: Simplify 1/2 into 1/2 18.826 * [taylor]: Taking taylor expansion of (/ 1 im) in im 18.826 * [taylor]: Taking taylor expansion of im in im 18.826 * [backup-simplify]: Simplify 0 into 0 18.826 * [backup-simplify]: Simplify 1 into 1 18.826 * [backup-simplify]: Simplify (/ 1 1) into 1 18.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.828 * [backup-simplify]: Simplify 0 into 0 18.828 * [backup-simplify]: Simplify 0 into 0 18.828 * [backup-simplify]: Simplify 0 into 0 18.829 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 18.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.830 * [backup-simplify]: Simplify (+ 0 0) into 0 18.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 18.830 * [backup-simplify]: Simplify (- 0) into 0 18.831 * [backup-simplify]: Simplify (+ 0 0) into 0 18.831 * [taylor]: Taking taylor expansion of 0 in im 18.831 * [backup-simplify]: Simplify 0 into 0 18.831 * [backup-simplify]: Simplify 0 into 0 18.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.833 * [backup-simplify]: Simplify 0 into 0 18.833 * [backup-simplify]: Simplify 0 into 0 18.833 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 18.833 * [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)) 18.833 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 18.833 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 18.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.833 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.833 * [taylor]: Taking taylor expansion of re in im 18.833 * [backup-simplify]: Simplify re into re 18.833 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.834 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.834 * [taylor]: Taking taylor expansion of im in im 18.834 * [backup-simplify]: Simplify 0 into 0 18.834 * [backup-simplify]: Simplify 1 into 1 18.834 * [backup-simplify]: Simplify (* 1 1) into 1 18.834 * [backup-simplify]: Simplify (/ 1 1) into 1 18.835 * [backup-simplify]: Simplify (+ 0 1) into 1 18.835 * [backup-simplify]: Simplify (sqrt 1) into 1 18.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.837 * [backup-simplify]: Simplify (+ 0 0) into 0 18.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.838 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.838 * [taylor]: Taking taylor expansion of re in im 18.838 * [backup-simplify]: Simplify re into re 18.838 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.838 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 18.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.838 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.838 * [taylor]: Taking taylor expansion of re in re 18.838 * [backup-simplify]: Simplify 0 into 0 18.838 * [backup-simplify]: Simplify 1 into 1 18.838 * [backup-simplify]: Simplify (* 1 1) into 1 18.839 * [backup-simplify]: Simplify (/ 1 1) into 1 18.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.839 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.839 * [taylor]: Taking taylor expansion of im in re 18.839 * [backup-simplify]: Simplify im into im 18.839 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.839 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.840 * [backup-simplify]: Simplify (+ 1 0) into 1 18.840 * [backup-simplify]: Simplify (sqrt 1) into 1 18.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.842 * [backup-simplify]: Simplify (+ 0 0) into 0 18.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.842 * [taylor]: Taking taylor expansion of re in re 18.842 * [backup-simplify]: Simplify 0 into 0 18.842 * [backup-simplify]: Simplify 1 into 1 18.843 * [backup-simplify]: Simplify (/ 1 1) into 1 18.843 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 18.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.843 * [taylor]: Taking taylor expansion of re in re 18.843 * [backup-simplify]: Simplify 0 into 0 18.843 * [backup-simplify]: Simplify 1 into 1 18.843 * [backup-simplify]: Simplify (* 1 1) into 1 18.844 * [backup-simplify]: Simplify (/ 1 1) into 1 18.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.844 * [taylor]: Taking taylor expansion of im in re 18.844 * [backup-simplify]: Simplify im into im 18.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.844 * [backup-simplify]: Simplify (+ 1 0) into 1 18.845 * [backup-simplify]: Simplify (sqrt 1) into 1 18.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.846 * [backup-simplify]: Simplify (+ 0 0) into 0 18.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.847 * [taylor]: Taking taylor expansion of re in re 18.847 * [backup-simplify]: Simplify 0 into 0 18.847 * [backup-simplify]: Simplify 1 into 1 18.848 * [backup-simplify]: Simplify (/ 1 1) into 1 18.848 * [backup-simplify]: Simplify (- 1) into -1 18.848 * [backup-simplify]: Simplify (+ 1 -1) into 0 18.848 * [taylor]: Taking taylor expansion of 0 in im 18.848 * [backup-simplify]: Simplify 0 into 0 18.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.850 * [backup-simplify]: Simplify (- 0) into 0 18.850 * [backup-simplify]: Simplify (+ 0 0) into 0 18.850 * [taylor]: Taking taylor expansion of 0 in im 18.850 * [backup-simplify]: Simplify 0 into 0 18.850 * [backup-simplify]: Simplify 0 into 0 18.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.852 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.853 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.854 * [backup-simplify]: Simplify (- 0) into 0 18.855 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 18.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 18.855 * [taylor]: Taking taylor expansion of 1/2 in im 18.855 * [backup-simplify]: Simplify 1/2 into 1/2 18.855 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.855 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.855 * [taylor]: Taking taylor expansion of im in im 18.855 * [backup-simplify]: Simplify 0 into 0 18.855 * [backup-simplify]: Simplify 1 into 1 18.855 * [backup-simplify]: Simplify (* 1 1) into 1 18.856 * [backup-simplify]: Simplify (/ 1 1) into 1 18.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.858 * [backup-simplify]: Simplify 0 into 0 18.858 * [backup-simplify]: Simplify 0 into 0 18.858 * [backup-simplify]: Simplify 0 into 0 18.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.861 * [backup-simplify]: Simplify (+ 0 0) into 0 18.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.863 * [backup-simplify]: Simplify (- 0) into 0 18.863 * [backup-simplify]: Simplify (+ 0 0) into 0 18.863 * [taylor]: Taking taylor expansion of 0 in im 18.863 * [backup-simplify]: Simplify 0 into 0 18.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.866 * [backup-simplify]: Simplify 0 into 0 18.866 * [backup-simplify]: Simplify 0 into 0 18.866 * [backup-simplify]: Simplify 0 into 0 18.866 * [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))))) 18.866 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 18.866 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 18.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im 18.867 * [taylor]: Taking taylor expansion of re in im 18.867 * [backup-simplify]: Simplify re into re 18.867 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 18.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 18.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 18.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 18.867 * [taylor]: Taking taylor expansion of (pow re 2) in im 18.867 * [taylor]: Taking taylor expansion of re in im 18.867 * [backup-simplify]: Simplify re into re 18.867 * [backup-simplify]: Simplify (* re re) into (pow re 2) 18.867 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 18.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.867 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.867 * [taylor]: Taking taylor expansion of im in im 18.867 * [backup-simplify]: Simplify 0 into 0 18.867 * [backup-simplify]: Simplify 1 into 1 18.867 * [backup-simplify]: Simplify (* 1 1) into 1 18.868 * [backup-simplify]: Simplify (/ 1 1) into 1 18.868 * [backup-simplify]: Simplify (+ 0 1) into 1 18.869 * [backup-simplify]: Simplify (sqrt 1) into 1 18.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.870 * [backup-simplify]: Simplify (+ 0 0) into 0 18.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.871 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.871 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.871 * [taylor]: Taking taylor expansion of re in re 18.871 * [backup-simplify]: Simplify 0 into 0 18.871 * [backup-simplify]: Simplify 1 into 1 18.872 * [backup-simplify]: Simplify (/ 1 1) into 1 18.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.872 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.872 * [taylor]: Taking taylor expansion of re in re 18.872 * [backup-simplify]: Simplify 0 into 0 18.872 * [backup-simplify]: Simplify 1 into 1 18.872 * [backup-simplify]: Simplify (* 1 1) into 1 18.873 * [backup-simplify]: Simplify (/ 1 1) into 1 18.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.873 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.873 * [taylor]: Taking taylor expansion of im in re 18.873 * [backup-simplify]: Simplify im into im 18.873 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.873 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.873 * [backup-simplify]: Simplify (+ 1 0) into 1 18.874 * [backup-simplify]: Simplify (sqrt 1) into 1 18.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.875 * [backup-simplify]: Simplify (+ 0 0) into 0 18.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.876 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 18.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re 18.876 * [taylor]: Taking taylor expansion of re in re 18.876 * [backup-simplify]: Simplify 0 into 0 18.876 * [backup-simplify]: Simplify 1 into 1 18.877 * [backup-simplify]: Simplify (/ 1 1) into 1 18.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 18.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 18.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 18.877 * [taylor]: Taking taylor expansion of (pow re 2) in re 18.877 * [taylor]: Taking taylor expansion of re in re 18.877 * [backup-simplify]: Simplify 0 into 0 18.877 * [backup-simplify]: Simplify 1 into 1 18.877 * [backup-simplify]: Simplify (* 1 1) into 1 18.878 * [backup-simplify]: Simplify (/ 1 1) into 1 18.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 18.878 * [taylor]: Taking taylor expansion of (pow im 2) in re 18.878 * [taylor]: Taking taylor expansion of im in re 18.878 * [backup-simplify]: Simplify im into im 18.878 * [backup-simplify]: Simplify (* im im) into (pow im 2) 18.878 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 18.878 * [backup-simplify]: Simplify (+ 1 0) into 1 18.879 * [backup-simplify]: Simplify (sqrt 1) into 1 18.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.880 * [backup-simplify]: Simplify (+ 0 0) into 0 18.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.882 * [backup-simplify]: Simplify (+ 1 1) into 2 18.882 * [taylor]: Taking taylor expansion of 2 in im 18.882 * [backup-simplify]: Simplify 2 into 2 18.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.883 * [backup-simplify]: Simplify (+ 0 0) into 0 18.883 * [taylor]: Taking taylor expansion of 0 in im 18.883 * [backup-simplify]: Simplify 0 into 0 18.883 * [backup-simplify]: Simplify 2 into 2 18.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.886 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 18.887 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 18.887 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 18.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 18.887 * [taylor]: Taking taylor expansion of 1/2 in im 18.887 * [backup-simplify]: Simplify 1/2 into 1/2 18.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 18.887 * [taylor]: Taking taylor expansion of (pow im 2) in im 18.887 * [taylor]: Taking taylor expansion of im in im 18.887 * [backup-simplify]: Simplify 0 into 0 18.887 * [backup-simplify]: Simplify 1 into 1 18.888 * [backup-simplify]: Simplify (* 1 1) into 1 18.888 * [backup-simplify]: Simplify (/ 1 1) into 1 18.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.890 * [backup-simplify]: Simplify 0 into 0 18.890 * [backup-simplify]: Simplify 0 into 0 18.890 * [backup-simplify]: Simplify 0 into 0 18.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.893 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 18.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 18.894 * [backup-simplify]: Simplify (+ 0 0) into 0 18.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 18.895 * [backup-simplify]: Simplify (+ 0 0) into 0 18.895 * [taylor]: Taking taylor expansion of 0 in im 18.895 * [backup-simplify]: Simplify 0 into 0 18.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.898 * [backup-simplify]: Simplify 0 into 0 18.898 * [backup-simplify]: Simplify 0 into 0 18.898 * [backup-simplify]: Simplify 0 into 0 18.898 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 18.898 * * * [progress]: simplifying candidates 18.898 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 18.898 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 18.898 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 18.898 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 18.898 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 18.899 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 18.899 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 18.899 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 18.899 * * [simplify]: iters left: 6 (8 enodes) 18.902 * * [simplify]: iters left: 5 (26 enodes) 18.909 * * [simplify]: Extracting #0: cost 1 inf + 0 18.910 * * [simplify]: Extracting #1: cost 4 inf + 0 18.910 * * [simplify]: Extracting #2: cost 7 inf + 0 18.910 * * [simplify]: Extracting #3: cost 10 inf + 0 18.910 * * [simplify]: Extracting #4: cost 14 inf + 0 18.910 * * [simplify]: Extracting #5: cost 10 inf + 84 18.910 * * [simplify]: Extracting #6: cost 8 inf + 166 18.911 * * [simplify]: Extracting #7: cost 4 inf + 854 18.911 * * [simplify]: Extracting #8: cost 1 inf + 1540 18.912 * * [simplify]: Extracting #9: cost 0 inf + 1782 18.912 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 18.912 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 18.912 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 18.913 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 18.913 * * [simplify]: iters left: 6 (7 enodes) 18.916 * * [simplify]: iters left: 5 (22 enodes) 18.922 * * [simplify]: Extracting #0: cost 1 inf + 0 18.922 * * [simplify]: Extracting #1: cost 3 inf + 0 18.922 * * [simplify]: Extracting #2: cost 5 inf + 0 18.922 * * [simplify]: Extracting #3: cost 8 inf + 0 18.922 * * [simplify]: Extracting #4: cost 12 inf + 0 18.922 * * [simplify]: Extracting #5: cost 10 inf + 2 18.922 * * [simplify]: Extracting #6: cost 1 inf + 936 18.923 * * [simplify]: Extracting #7: cost 0 inf + 1138 18.923 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 18.923 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 18.923 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 18.924 * [simplify]: Simplifying (sqrt 1) 18.924 * * [simplify]: iters left: 1 (2 enodes) 18.929 * * [simplify]: Extracting #0: cost 1 inf + 0 18.929 * * [simplify]: Extracting #1: cost 0 inf + 1 18.929 * [simplify]: Simplified to 1 18.929 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 18.929 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 18.930 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 18.930 * * [simplify]: iters left: 6 (9 enodes) 18.935 * * [simplify]: iters left: 5 (45 enodes) 18.955 * * [simplify]: iters left: 4 (100 enodes) 18.992 * * [simplify]: iters left: 3 (201 enodes) 19.056 * * [simplify]: iters left: 2 (406 enodes) 19.171 * * [simplify]: Extracting #0: cost 1 inf + 0 19.171 * * [simplify]: Extracting #1: cost 3 inf + 0 19.171 * * [simplify]: Extracting #2: cost 6 inf + 0 19.171 * * [simplify]: Extracting #3: cost 62 inf + 0 19.172 * * [simplify]: Extracting #4: cost 166 inf + 460 19.173 * * [simplify]: Extracting #5: cost 131 inf + 12951 19.177 * * [simplify]: Extracting #6: cost 49 inf + 45746 19.183 * * [simplify]: Extracting #7: cost 1 inf + 66256 19.188 * * [simplify]: Extracting #8: cost 0 inf + 65919 19.193 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 19.193 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 19.194 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 19.194 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 19.194 * * [simplify]: iters left: 6 (8 enodes) 19.199 * * [simplify]: iters left: 5 (37 enodes) 19.205 * * [simplify]: iters left: 4 (67 enodes) 19.216 * * [simplify]: iters left: 3 (123 enodes) 19.240 * * [simplify]: iters left: 2 (278 enodes) 19.366 * * [simplify]: Extracting #0: cost 1 inf + 0 19.366 * * [simplify]: Extracting #1: cost 3 inf + 0 19.366 * * [simplify]: Extracting #2: cost 50 inf + 0 19.366 * * [simplify]: Extracting #3: cost 150 inf + 0 19.367 * * [simplify]: Extracting #4: cost 194 inf + 1180 19.370 * * [simplify]: Extracting #5: cost 123 inf + 12421 19.376 * * [simplify]: Extracting #6: cost 12 inf + 33804 19.383 * * [simplify]: Extracting #7: cost 0 inf + 36129 19.391 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 19.391 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 19.391 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 19.391 * [simplify]: Simplifying (+ (* re re) (* im im)) 19.391 * * [simplify]: iters left: 4 (5 enodes) 19.392 * * [simplify]: iters left: 3 (16 enodes) 19.394 * * [simplify]: Extracting #0: cost 1 inf + 0 19.394 * * [simplify]: Extracting #1: cost 4 inf + 0 19.394 * * [simplify]: Extracting #2: cost 8 inf + 0 19.394 * * [simplify]: Extracting #3: cost 4 inf + 84 19.394 * * [simplify]: Extracting #4: cost 0 inf + 410 19.395 * [simplify]: Simplified to (+ (* re re) (* im im)) 19.395 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 19.395 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 19.395 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 19.395 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 19.395 * * [simplify]: iters left: 5 (6 enodes) 19.396 * * [simplify]: iters left: 4 (19 enodes) 19.399 * * [simplify]: Extracting #0: cost 1 inf + 0 19.399 * * [simplify]: Extracting #1: cost 3 inf + 0 19.399 * * [simplify]: Extracting #2: cost 6 inf + 0 19.399 * * [simplify]: Extracting #3: cost 10 inf + 0 19.399 * * [simplify]: Extracting #4: cost 6 inf + 84 19.399 * * [simplify]: Extracting #5: cost 0 inf + 734 19.399 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 19.399 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 19.400 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 19.400 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 19.400 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 19.400 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 19.400 * [simplify]: Simplifying (- (+ (log 2.0) (+ (log im) (log im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 19.400 * * [simplify]: iters left: 6 (14 enodes) 19.403 * * [simplify]: iters left: 5 (52 enodes) 19.411 * * [simplify]: iters left: 4 (76 enodes) 19.423 * * [simplify]: iters left: 3 (103 enodes) 19.442 * * [simplify]: iters left: 2 (119 enodes) 19.471 * * [simplify]: iters left: 1 (141 enodes) 19.511 * * [simplify]: Extracting #0: cost 1 inf + 0 19.511 * * [simplify]: Extracting #1: cost 24 inf + 0 19.511 * * [simplify]: Extracting #2: cost 49 inf + 0 19.511 * * [simplify]: Extracting #3: cost 43 inf + 810 19.511 * * [simplify]: Extracting #4: cost 35 inf + 2618 19.512 * * [simplify]: Extracting #5: cost 33 inf + 3295 19.512 * * [simplify]: Extracting #6: cost 32 inf + 3499 19.513 * * [simplify]: Extracting #7: cost 16 inf + 7953 19.516 * * [simplify]: Extracting #8: cost 2 inf + 13738 19.519 * * [simplify]: Extracting #9: cost 0 inf + 14694 19.522 * [simplify]: Simplified to (- (+ (log 2.0) (+ (log im) (log im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 19.523 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (exp (- (+ (log 2.0) (+ (log im) (log im))) (log (- (sqrt (+ (* re re) (* im im))) re))))))) 19.523 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 19.523 * [simplify]: Simplifying (- (+ (log 2.0) (log (* im im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 19.523 * * [simplify]: iters left: 6 (13 enodes) 19.526 * * [simplify]: iters left: 5 (49 enodes) 19.534 * * [simplify]: iters left: 4 (72 enodes) 19.555 * * [simplify]: iters left: 3 (107 enodes) 19.570 * * [simplify]: iters left: 2 (137 enodes) 19.591 * * [simplify]: iters left: 1 (159 enodes) 19.614 * * [simplify]: Extracting #0: cost 1 inf + 0 19.614 * * [simplify]: Extracting #1: cost 29 inf + 0 19.614 * * [simplify]: Extracting #2: cost 55 inf + 0 19.615 * * [simplify]: Extracting #3: cost 50 inf + 740 19.615 * * [simplify]: Extracting #4: cost 39 inf + 2639 19.616 * * [simplify]: Extracting #5: cost 36 inf + 3426 19.618 * * [simplify]: Extracting #6: cost 35 inf + 3589 19.618 * * [simplify]: Extracting #7: cost 32 inf + 3914 19.620 * * [simplify]: Extracting #8: cost 19 inf + 8416 19.623 * * [simplify]: Extracting #9: cost 1 inf + 15910 19.626 * * [simplify]: Extracting #10: cost 0 inf + 16373 19.632 * [simplify]: Simplified to (- (log 2.0) (- (log (- (sqrt (+ (* im im) (* re re))) re)) (log (* im im)))) 19.633 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (exp (- (log 2.0) (- (log (- (sqrt (+ (* im im) (* re re))) re)) (log (* im im)))))))) 19.633 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 19.633 * [simplify]: Simplifying (- (log (* 2.0 (* im im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 19.633 * * [simplify]: iters left: 6 (12 enodes) 19.639 * * [simplify]: iters left: 5 (47 enodes) 19.646 * * [simplify]: iters left: 4 (70 enodes) 19.656 * * [simplify]: iters left: 3 (95 enodes) 19.671 * * [simplify]: iters left: 2 (128 enodes) 19.694 * * [simplify]: iters left: 1 (157 enodes) 19.719 * * [simplify]: Extracting #0: cost 1 inf + 0 19.719 * * [simplify]: Extracting #1: cost 19 inf + 0 19.719 * * [simplify]: Extracting #2: cost 47 inf + 0 19.720 * * [simplify]: Extracting #3: cost 52 inf + 2 19.720 * * [simplify]: Extracting #4: cost 41 inf + 1030 19.721 * * [simplify]: Extracting #5: cost 32 inf + 2236 19.722 * * [simplify]: Extracting #6: cost 31 inf + 2399 19.723 * * [simplify]: Extracting #7: cost 26 inf + 3088 19.726 * * [simplify]: Extracting #8: cost 11 inf + 8583 19.731 * * [simplify]: Extracting #9: cost 1 inf + 12429 19.737 * * [simplify]: Extracting #10: cost 0 inf + 12852 19.742 * [simplify]: Simplified to (- (log (* 2.0 (* im im))) (log (- (sqrt (+ (* im im) (* re re))) re))) 19.742 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (exp (- (log (* 2.0 (* im im))) (log (- (sqrt (+ (* im im) (* re re))) re))))))) 19.742 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 19.742 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 19.742 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 19.743 * [simplify]: Simplifying (/ (* (* (* 2.0 2.0) 2.0) (* (* (* im im) im) (* (* im im) im))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) 19.743 * * [simplify]: iters left: 6 (16 enodes) 19.752 * * [simplify]: iters left: 5 (72 enodes) 19.782 * * [simplify]: iters left: 4 (233 enodes) 19.928 * * [simplify]: Extracting #0: cost 1 inf + 0 19.929 * * [simplify]: Extracting #1: cost 139 inf + 0 19.931 * * [simplify]: Extracting #2: cost 302 inf + 811 19.936 * * [simplify]: Extracting #3: cost 309 inf + 4952 19.943 * * [simplify]: Extracting #4: cost 286 inf + 8246 19.950 * * [simplify]: Extracting #5: cost 284 inf + 8621 19.964 * * [simplify]: Extracting #6: cost 212 inf + 33047 19.998 * * [simplify]: Extracting #7: cost 29 inf + 99180 20.029 * * [simplify]: Extracting #8: cost 0 inf + 107098 20.072 * * [simplify]: Extracting #9: cost 0 inf + 106858 20.106 * [simplify]: Simplified to (/ (* 2.0 2.0) (/ (* (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))) (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))) 20.106 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (cbrt (/ (* 2.0 2.0) (/ (* (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))) (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))))) 20.107 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 20.107 * [simplify]: Simplifying (/ (* (* (* 2.0 2.0) 2.0) (* (* (* im im) (* im im)) (* im im))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) 20.107 * * [simplify]: iters left: 6 (16 enodes) 20.112 * * [simplify]: iters left: 5 (73 enodes) 20.143 * * [simplify]: iters left: 4 (230 enodes) 20.283 * * [simplify]: Extracting #0: cost 1 inf + 0 20.283 * * [simplify]: Extracting #1: cost 136 inf + 0 20.284 * * [simplify]: Extracting #2: cost 308 inf + 811 20.286 * * [simplify]: Extracting #3: cost 312 inf + 5236 20.290 * * [simplify]: Extracting #4: cost 290 inf + 8400 20.294 * * [simplify]: Extracting #5: cost 282 inf + 9807 20.303 * * [simplify]: Extracting #6: cost 183 inf + 43860 20.334 * * [simplify]: Extracting #7: cost 19 inf + 102788 20.374 * * [simplify]: Extracting #8: cost 0 inf + 107640 20.429 * * [simplify]: Extracting #9: cost 0 inf + 106320 20.463 * [simplify]: Simplified to (/ (* (* (* im im) 2.0) (* (* (* im im) 2.0) (* (* im im) 2.0))) (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))) 20.463 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (cbrt (/ (* (* (* im im) 2.0) (* (* (* im im) 2.0) (* (* im im) 2.0))) (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))))))) 20.463 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 20.464 * [simplify]: Simplifying (/ (* (* (* 2.0 (* im im)) (* 2.0 (* im im))) (* 2.0 (* im im))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) 20.464 * * [simplify]: iters left: 6 (14 enodes) 20.468 * * [simplify]: iters left: 5 (66 enodes) 20.490 * * [simplify]: iters left: 4 (236 enodes) 20.624 * * [simplify]: Extracting #0: cost 1 inf + 0 20.625 * * [simplify]: Extracting #1: cost 183 inf + 0 20.626 * * [simplify]: Extracting #2: cost 413 inf + 858 20.629 * * [simplify]: Extracting #3: cost 410 inf + 6702 20.633 * * [simplify]: Extracting #4: cost 388 inf + 9876 20.648 * * [simplify]: Extracting #5: cost 197 inf + 74129 20.697 * * [simplify]: Extracting #6: cost 7 inf + 141264 20.736 * * [simplify]: Extracting #7: cost 0 inf + 143324 20.782 * * [simplify]: Extracting #8: cost 0 inf + 143284 20.833 * [simplify]: Simplified to (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 20.833 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (cbrt (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))))) 20.834 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 20.834 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 20.834 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 20.834 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 20.834 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 20.834 * [simplify]: Simplifying (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.834 * * [simplify]: iters left: 6 (11 enodes) 20.837 * * [simplify]: iters left: 5 (38 enodes) 20.844 * * [simplify]: iters left: 4 (43 enodes) 20.850 * * [simplify]: Extracting #0: cost 1 inf + 0 20.850 * * [simplify]: Extracting #1: cost 6 inf + 0 20.850 * * [simplify]: Extracting #2: cost 9 inf + 1 20.850 * * [simplify]: Extracting #3: cost 13 inf + 1 20.850 * * [simplify]: Extracting #4: cost 14 inf + 43 20.850 * * [simplify]: Extracting #5: cost 16 inf + 84 20.850 * * [simplify]: Extracting #6: cost 18 inf + 125 20.850 * * [simplify]: Extracting #7: cost 16 inf + 167 20.850 * * [simplify]: Extracting #8: cost 12 inf + 493 20.850 * * [simplify]: Extracting #9: cost 9 inf + 1019 20.851 * * [simplify]: Extracting #10: cost 5 inf + 2148 20.851 * * [simplify]: Extracting #11: cost 0 inf + 3801 20.852 * [simplify]: Simplified to (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 20.852 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.852 * [simplify]: Simplifying (/ (* im im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 20.852 * * [simplify]: iters left: 6 (9 enodes) 20.854 * * [simplify]: iters left: 5 (32 enodes) 20.858 * * [simplify]: iters left: 4 (39 enodes) 20.863 * * [simplify]: iters left: 3 (42 enodes) 20.870 * * [simplify]: Extracting #0: cost 1 inf + 0 20.871 * * [simplify]: Extracting #1: cost 7 inf + 0 20.871 * * [simplify]: Extracting #2: cost 11 inf + 1 20.871 * * [simplify]: Extracting #3: cost 13 inf + 83 20.871 * * [simplify]: Extracting #4: cost 14 inf + 125 20.871 * * [simplify]: Extracting #5: cost 15 inf + 166 20.871 * * [simplify]: Extracting #6: cost 15 inf + 207 20.871 * * [simplify]: Extracting #7: cost 12 inf + 532 20.872 * * [simplify]: Extracting #8: cost 7 inf + 1502 20.873 * * [simplify]: Extracting #9: cost 1 inf + 3394 20.874 * * [simplify]: Extracting #10: cost 0 inf + 3716 20.875 * [simplify]: Simplified to (/ (* im im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) 20.875 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 20.875 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 20.876 * [simplify]: Simplifying (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.876 * * [simplify]: iters left: 6 (10 enodes) 20.881 * * [simplify]: iters left: 5 (33 enodes) 20.891 * * [simplify]: iters left: 4 (36 enodes) 20.901 * * [simplify]: Extracting #0: cost 1 inf + 0 20.901 * * [simplify]: Extracting #1: cost 4 inf + 0 20.901 * * [simplify]: Extracting #2: cost 5 inf + 1 20.901 * * [simplify]: Extracting #3: cost 9 inf + 1 20.901 * * [simplify]: Extracting #4: cost 10 inf + 43 20.902 * * [simplify]: Extracting #5: cost 12 inf + 84 20.902 * * [simplify]: Extracting #6: cost 14 inf + 125 20.902 * * [simplify]: Extracting #7: cost 12 inf + 167 20.902 * * [simplify]: Extracting #8: cost 9 inf + 371 20.902 * * [simplify]: Extracting #9: cost 4 inf + 1221 20.903 * * [simplify]: Extracting #10: cost 0 inf + 2271 20.904 * [simplify]: Simplified to (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.904 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 20.904 * [simplify]: Simplifying (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 20.904 * * [simplify]: iters left: 6 (9 enodes) 20.908 * * [simplify]: iters left: 5 (32 enodes) 20.917 * * [simplify]: iters left: 4 (39 enodes) 20.927 * * [simplify]: iters left: 3 (42 enodes) 20.938 * * [simplify]: Extracting #0: cost 1 inf + 0 20.938 * * [simplify]: Extracting #1: cost 7 inf + 0 20.938 * * [simplify]: Extracting #2: cost 11 inf + 1 20.938 * * [simplify]: Extracting #3: cost 13 inf + 83 20.938 * * [simplify]: Extracting #4: cost 14 inf + 125 20.939 * * [simplify]: Extracting #5: cost 15 inf + 166 20.939 * * [simplify]: Extracting #6: cost 15 inf + 207 20.939 * * [simplify]: Extracting #7: cost 12 inf + 532 20.940 * * [simplify]: Extracting #8: cost 7 inf + 1462 20.941 * * [simplify]: Extracting #9: cost 1 inf + 3114 20.942 * * [simplify]: Extracting #10: cost 0 inf + 3396 20.943 * [simplify]: Simplified to (/ (* im im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 20.943 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 20.943 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 20.944 * [simplify]: Simplifying (/ 2.0 1) 20.944 * * [simplify]: iters left: 2 (3 enodes) 20.946 * * [simplify]: iters left: 1 (9 enodes) 20.949 * * [simplify]: Extracting #0: cost 1 inf + 0 20.949 * * [simplify]: Extracting #1: cost 0 inf + 1 20.949 * [simplify]: Simplified to 2.0 20.949 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 20.950 * [simplify]: Simplifying (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) 20.950 * * [simplify]: iters left: 6 (8 enodes) 20.953 * * [simplify]: iters left: 5 (29 enodes) 20.962 * * [simplify]: iters left: 4 (39 enodes) 20.975 * * [simplify]: iters left: 3 (48 enodes) 20.987 * * [simplify]: iters left: 2 (52 enodes) 21.001 * * [simplify]: Extracting #0: cost 1 inf + 0 21.001 * * [simplify]: Extracting #1: cost 7 inf + 0 21.001 * * [simplify]: Extracting #2: cost 16 inf + 1 21.001 * * [simplify]: Extracting #3: cost 17 inf + 208 21.002 * * [simplify]: Extracting #4: cost 15 inf + 414 21.002 * * [simplify]: Extracting #5: cost 13 inf + 739 21.003 * * [simplify]: Extracting #6: cost 2 inf + 2840 21.003 * * [simplify]: Extracting #7: cost 0 inf + 3324 21.004 * [simplify]: Simplified to (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 21.004 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))) 21.004 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 21.004 * [simplify]: Simplifying (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 21.004 * * [simplify]: iters left: 6 (11 enodes) 21.007 * * [simplify]: iters left: 5 (35 enodes) 21.012 * * [simplify]: Extracting #0: cost 1 inf + 0 21.012 * * [simplify]: Extracting #1: cost 4 inf + 0 21.012 * * [simplify]: Extracting #2: cost 6 inf + 1 21.012 * * [simplify]: Extracting #3: cost 10 inf + 1 21.012 * * [simplify]: Extracting #4: cost 10 inf + 43 21.012 * * [simplify]: Extracting #5: cost 12 inf + 84 21.012 * * [simplify]: Extracting #6: cost 14 inf + 125 21.012 * * [simplify]: Extracting #7: cost 12 inf + 167 21.013 * * [simplify]: Extracting #8: cost 10 inf + 330 21.013 * * [simplify]: Extracting #9: cost 5 inf + 1139 21.013 * * [simplify]: Extracting #10: cost 0 inf + 2431 21.014 * [simplify]: Simplified to (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 21.014 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.014 * [simplify]: Simplifying (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 21.014 * * [simplify]: iters left: 6 (10 enodes) 21.016 * * [simplify]: iters left: 5 (35 enodes) 21.021 * * [simplify]: iters left: 4 (45 enodes) 21.027 * * [simplify]: iters left: 3 (54 enodes) 21.038 * * [simplify]: iters left: 2 (58 enodes) 21.051 * * [simplify]: Extracting #0: cost 1 inf + 0 21.051 * * [simplify]: Extracting #1: cost 7 inf + 0 21.051 * * [simplify]: Extracting #2: cost 16 inf + 1 21.051 * * [simplify]: Extracting #3: cost 23 inf + 42 21.051 * * [simplify]: Extracting #4: cost 20 inf + 247 21.051 * * [simplify]: Extracting #5: cost 17 inf + 736 21.051 * * [simplify]: Extracting #6: cost 14 inf + 1183 21.052 * * [simplify]: Extracting #7: cost 6 inf + 2918 21.053 * * [simplify]: Extracting #8: cost 2 inf + 4126 21.053 * * [simplify]: Extracting #9: cost 0 inf + 4770 21.054 * [simplify]: Simplified to (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 21.054 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 21.055 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 21.055 * [simplify]: Simplifying (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 21.055 * * [simplify]: iters left: 6 (11 enodes) 21.058 * * [simplify]: iters left: 5 (35 enodes) 21.062 * * [simplify]: Extracting #0: cost 1 inf + 0 21.062 * * [simplify]: Extracting #1: cost 4 inf + 0 21.063 * * [simplify]: Extracting #2: cost 6 inf + 1 21.063 * * [simplify]: Extracting #3: cost 10 inf + 1 21.063 * * [simplify]: Extracting #4: cost 10 inf + 43 21.063 * * [simplify]: Extracting #5: cost 12 inf + 84 21.063 * * [simplify]: Extracting #6: cost 14 inf + 125 21.063 * * [simplify]: Extracting #7: cost 12 inf + 167 21.063 * * [simplify]: Extracting #8: cost 10 inf + 330 21.063 * * [simplify]: Extracting #9: cost 5 inf + 1139 21.064 * * [simplify]: Extracting #10: cost 0 inf + 2431 21.064 * [simplify]: Simplified to (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 21.064 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.064 * [simplify]: Simplifying (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 21.064 * * [simplify]: iters left: 6 (10 enodes) 21.067 * * [simplify]: iters left: 5 (35 enodes) 21.072 * * [simplify]: iters left: 4 (45 enodes) 21.082 * * [simplify]: iters left: 3 (54 enodes) 21.094 * * [simplify]: iters left: 2 (58 enodes) 21.101 * * [simplify]: Extracting #0: cost 1 inf + 0 21.101 * * [simplify]: Extracting #1: cost 7 inf + 0 21.101 * * [simplify]: Extracting #2: cost 16 inf + 1 21.101 * * [simplify]: Extracting #3: cost 23 inf + 42 21.101 * * [simplify]: Extracting #4: cost 20 inf + 247 21.102 * * [simplify]: Extracting #5: cost 17 inf + 736 21.102 * * [simplify]: Extracting #6: cost 14 inf + 1183 21.102 * * [simplify]: Extracting #7: cost 6 inf + 2918 21.103 * * [simplify]: Extracting #8: cost 2 inf + 4126 21.104 * * [simplify]: Extracting #9: cost 0 inf + 4770 21.105 * [simplify]: Simplified to (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 21.105 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 21.105 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 21.105 * [simplify]: Simplifying (/ 2.0 1) 21.105 * * [simplify]: iters left: 2 (3 enodes) 21.107 * * [simplify]: iters left: 1 (9 enodes) 21.108 * * [simplify]: Extracting #0: cost 1 inf + 0 21.109 * * [simplify]: Extracting #1: cost 0 inf + 1 21.109 * [simplify]: Simplified to 2.0 21.109 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 21.109 * [simplify]: Simplifying (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) 21.109 * * [simplify]: iters left: 6 (8 enodes) 21.111 * * [simplify]: iters left: 5 (29 enodes) 21.114 * * [simplify]: iters left: 4 (39 enodes) 21.121 * * [simplify]: iters left: 3 (48 enodes) 21.134 * * [simplify]: iters left: 2 (52 enodes) 21.148 * * [simplify]: Extracting #0: cost 1 inf + 0 21.148 * * [simplify]: Extracting #1: cost 7 inf + 0 21.148 * * [simplify]: Extracting #2: cost 16 inf + 1 21.148 * * [simplify]: Extracting #3: cost 17 inf + 208 21.149 * * [simplify]: Extracting #4: cost 15 inf + 414 21.149 * * [simplify]: Extracting #5: cost 13 inf + 739 21.150 * * [simplify]: Extracting #6: cost 2 inf + 2840 21.151 * * [simplify]: Extracting #7: cost 0 inf + 3324 21.152 * [simplify]: Simplified to (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 21.152 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))) 21.152 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 21.152 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 21.153 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 21.153 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 21.153 * [simplify]: Simplifying (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 21.153 * * [simplify]: iters left: 6 (8 enodes) 21.157 * * [simplify]: iters left: 5 (27 enodes) 21.164 * * [simplify]: iters left: 4 (30 enodes) 21.172 * * [simplify]: Extracting #0: cost 1 inf + 0 21.172 * * [simplify]: Extracting #1: cost 3 inf + 0 21.172 * * [simplify]: Extracting #2: cost 7 inf + 0 21.172 * * [simplify]: Extracting #3: cost 9 inf + 1 21.172 * * [simplify]: Extracting #4: cost 10 inf + 83 21.173 * * [simplify]: Extracting #5: cost 12 inf + 124 21.173 * * [simplify]: Extracting #6: cost 9 inf + 207 21.173 * * [simplify]: Extracting #7: cost 5 inf + 654 21.173 * * [simplify]: Extracting #8: cost 1 inf + 1502 21.174 * * [simplify]: Extracting #9: cost 0 inf + 1784 21.175 * [simplify]: Simplified to (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 21.175 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.175 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 21.175 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 21.175 * * [simplify]: iters left: 6 (8 enodes) 21.179 * * [simplify]: iters left: 5 (27 enodes) 21.183 * * [simplify]: iters left: 4 (30 enodes) 21.187 * * [simplify]: Extracting #0: cost 1 inf + 0 21.187 * * [simplify]: Extracting #1: cost 3 inf + 0 21.187 * * [simplify]: Extracting #2: cost 7 inf + 0 21.187 * * [simplify]: Extracting #3: cost 9 inf + 1 21.187 * * [simplify]: Extracting #4: cost 10 inf + 83 21.188 * * [simplify]: Extracting #5: cost 12 inf + 124 21.188 * * [simplify]: Extracting #6: cost 9 inf + 207 21.188 * * [simplify]: Extracting #7: cost 5 inf + 654 21.188 * * [simplify]: Extracting #8: cost 1 inf + 1462 21.188 * * [simplify]: Extracting #9: cost 0 inf + 1704 21.189 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 21.189 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 21.189 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 21.189 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 21.189 * * [simplify]: iters left: 6 (7 enodes) 21.190 * * [simplify]: iters left: 5 (24 enodes) 21.193 * * [simplify]: iters left: 4 (27 enodes) 21.197 * * [simplify]: Extracting #0: cost 1 inf + 0 21.197 * * [simplify]: Extracting #1: cost 5 inf + 0 21.197 * * [simplify]: Extracting #2: cost 7 inf + 1 21.197 * * [simplify]: Extracting #3: cost 8 inf + 83 21.197 * * [simplify]: Extracting #4: cost 10 inf + 124 21.197 * * [simplify]: Extracting #5: cost 6 inf + 248 21.198 * * [simplify]: Extracting #6: cost 3 inf + 654 21.198 * * [simplify]: Extracting #7: cost 1 inf + 1018 21.198 * * [simplify]: Extracting #8: cost 0 inf + 1220 21.198 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 21.198 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) 1) (- (sqrt (+ (* re re) (* im im))) re))))) 21.198 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 21.199 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 21.199 * * [simplify]: iters left: 6 (9 enodes) 21.202 * * [simplify]: iters left: 5 (30 enodes) 21.211 * * [simplify]: iters left: 4 (33 enodes) 21.219 * * [simplify]: Extracting #0: cost 1 inf + 0 21.219 * * [simplify]: Extracting #1: cost 5 inf + 0 21.220 * * [simplify]: Extracting #2: cost 10 inf + 0 21.220 * * [simplify]: Extracting #3: cost 11 inf + 1 21.220 * * [simplify]: Extracting #4: cost 10 inf + 245 21.220 * * [simplify]: Extracting #5: cost 12 inf + 286 21.220 * * [simplify]: Extracting #6: cost 8 inf + 410 21.220 * * [simplify]: Extracting #7: cost 6 inf + 694 21.221 * * [simplify]: Extracting #8: cost 1 inf + 1744 21.222 * * [simplify]: Extracting #9: cost 0 inf + 1946 21.222 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 21.222 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 21.223 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 21.223 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 21.223 * * [simplify]: iters left: 6 (9 enodes) 21.227 * * [simplify]: iters left: 5 (30 enodes) 21.235 * * [simplify]: iters left: 4 (33 enodes) 21.244 * * [simplify]: Extracting #0: cost 1 inf + 0 21.244 * * [simplify]: Extracting #1: cost 5 inf + 0 21.244 * * [simplify]: Extracting #2: cost 10 inf + 0 21.244 * * [simplify]: Extracting #3: cost 11 inf + 1 21.245 * * [simplify]: Extracting #4: cost 10 inf + 245 21.245 * * [simplify]: Extracting #5: cost 12 inf + 286 21.245 * * [simplify]: Extracting #6: cost 8 inf + 410 21.246 * * [simplify]: Extracting #7: cost 6 inf + 694 21.246 * * [simplify]: Extracting #8: cost 1 inf + 1744 21.247 * * [simplify]: Extracting #9: cost 0 inf + 1946 21.248 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 21.248 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 21.248 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 21.248 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 21.248 * * [simplify]: iters left: 6 (7 enodes) 21.252 * * [simplify]: iters left: 5 (24 enodes) 21.258 * * [simplify]: iters left: 4 (27 enodes) 21.265 * * [simplify]: Extracting #0: cost 1 inf + 0 21.266 * * [simplify]: Extracting #1: cost 5 inf + 0 21.266 * * [simplify]: Extracting #2: cost 7 inf + 1 21.266 * * [simplify]: Extracting #3: cost 8 inf + 83 21.266 * * [simplify]: Extracting #4: cost 10 inf + 124 21.266 * * [simplify]: Extracting #5: cost 6 inf + 248 21.266 * * [simplify]: Extracting #6: cost 3 inf + 654 21.267 * * [simplify]: Extracting #7: cost 1 inf + 1018 21.267 * * [simplify]: Extracting #8: cost 0 inf + 1220 21.268 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 21.268 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) 1) (- (sqrt (+ (* re re) (* im im))) re))))) 21.268 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 21.268 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 21.268 * [simplify]: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) 21.268 * * [simplify]: iters left: 6 (10 enodes) 21.273 * * [simplify]: iters left: 5 (36 enodes) 21.284 * * [simplify]: iters left: 4 (60 enodes) 21.303 * * [simplify]: iters left: 3 (83 enodes) 21.316 * * [simplify]: iters left: 2 (101 enodes) 21.329 * * [simplify]: Extracting #0: cost 1 inf + 0 21.329 * * [simplify]: Extracting #1: cost 12 inf + 0 21.329 * * [simplify]: Extracting #2: cost 28 inf + 0 21.329 * * [simplify]: Extracting #3: cost 26 inf + 206 21.330 * * [simplify]: Extracting #4: cost 18 inf + 978 21.330 * * [simplify]: Extracting #5: cost 4 inf + 4126 21.332 * * [simplify]: Extracting #6: cost 0 inf + 5174 21.333 * [simplify]: Simplified to (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (* re re) (+ (* re re) (* im im)))) 21.333 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* 2.0 (* im im)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (* re re) (+ (* re re) (* im im)))))))) 21.333 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 21.333 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 21.333 * * [simplify]: iters left: 6 (7 enodes) 21.336 * * [simplify]: iters left: 5 (23 enodes) 21.342 * * [simplify]: Extracting #0: cost 1 inf + 0 21.342 * * [simplify]: Extracting #1: cost 4 inf + 0 21.342 * * [simplify]: Extracting #2: cost 5 inf + 1 21.342 * * [simplify]: Extracting #3: cost 8 inf + 1 21.342 * * [simplify]: Extracting #4: cost 10 inf + 42 21.342 * * [simplify]: Extracting #5: cost 8 inf + 84 21.342 * * [simplify]: Extracting #6: cost 1 inf + 936 21.343 * * [simplify]: Extracting #7: cost 0 inf + 1138 21.343 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 21.343 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* 2.0 (* im im)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (+ (sqrt (+ (* re re) (* im im))) re))))) 21.344 * * * * [progress]: [ 48 / 100 ] simplifiying candidate #real (real->posit16 (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))))> 21.344 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 21.344 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 21.344 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 21.344 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 21.344 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 21.344 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 21.344 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 21.344 * [simplify]: Simplifying (sqrt (* (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) 21.345 * * [simplify]: iters left: 6 (13 enodes) 21.352 * * [simplify]: iters left: 5 (48 enodes) 21.366 * * [simplify]: iters left: 4 (67 enodes) 21.385 * * [simplify]: iters left: 3 (94 enodes) 21.398 * * [simplify]: iters left: 2 (134 enodes) 21.419 * * [simplify]: iters left: 1 (157 enodes) 21.461 * * [simplify]: Extracting #0: cost 1 inf + 0 21.461 * * [simplify]: Extracting #1: cost 4 inf + 0 21.461 * * [simplify]: Extracting #2: cost 7 inf + 0 21.461 * * [simplify]: Extracting #3: cost 22 inf + 0 21.461 * * [simplify]: Extracting #4: cost 47 inf + 2 21.462 * * [simplify]: Extracting #5: cost 54 inf + 375 21.462 * * [simplify]: Extracting #6: cost 42 inf + 1444 21.464 * * [simplify]: Extracting #7: cost 32 inf + 3188 21.467 * * [simplify]: Extracting #8: cost 3 inf + 10661 21.472 * * [simplify]: Extracting #9: cost 0 inf + 11429 21.477 * [simplify]: Simplified to (fabs (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 21.477 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (fabs (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))))) 21.477 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 21.477 * [simplify]: Simplifying (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 21.478 * * [simplify]: iters left: 6 (12 enodes) 21.483 * * [simplify]: iters left: 5 (44 enodes) 21.497 * * [simplify]: iters left: 4 (63 enodes) 21.515 * * [simplify]: iters left: 3 (90 enodes) 21.543 * * [simplify]: iters left: 2 (130 enodes) 21.569 * * [simplify]: iters left: 1 (151 enodes) 21.589 * * [simplify]: Extracting #0: cost 1 inf + 0 21.589 * * [simplify]: Extracting #1: cost 3 inf + 0 21.589 * * [simplify]: Extracting #2: cost 5 inf + 0 21.589 * * [simplify]: Extracting #3: cost 20 inf + 0 21.589 * * [simplify]: Extracting #4: cost 44 inf + 2 21.589 * * [simplify]: Extracting #5: cost 48 inf + 578 21.590 * * [simplify]: Extracting #6: cost 40 inf + 1279 21.590 * * [simplify]: Extracting #7: cost 28 inf + 3428 21.593 * * [simplify]: Extracting #8: cost 7 inf + 8561 21.598 * * [simplify]: Extracting #9: cost 0 inf + 10217 21.602 * [simplify]: Simplified to (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 21.602 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))))) 21.602 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 21.602 * [simplify]: Simplifying (sqrt (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 21.603 * * [simplify]: iters left: 6 (12 enodes) 21.608 * * [simplify]: iters left: 5 (41 enodes) 21.621 * * [simplify]: iters left: 4 (46 enodes) 21.633 * * [simplify]: Extracting #0: cost 1 inf + 0 21.633 * * [simplify]: Extracting #1: cost 3 inf + 0 21.633 * * [simplify]: Extracting #2: cost 8 inf + 0 21.634 * * [simplify]: Extracting #3: cost 11 inf + 1 21.634 * * [simplify]: Extracting #4: cost 15 inf + 1 21.634 * * [simplify]: Extracting #5: cost 17 inf + 2 21.634 * * [simplify]: Extracting #6: cost 19 inf + 43 21.634 * * [simplify]: Extracting #7: cost 20 inf + 125 21.634 * * [simplify]: Extracting #8: cost 15 inf + 452 21.635 * * [simplify]: Extracting #9: cost 5 inf + 2793 21.636 * * [simplify]: Extracting #10: cost 1 inf + 4204 21.637 * * [simplify]: Extracting #11: cost 0 inf + 4607 21.639 * [simplify]: Simplified to (sqrt (/ (/ 2.0 (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.639 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ (/ 2.0 (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.639 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 21.639 * [simplify]: Simplifying (sqrt (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.640 * * [simplify]: iters left: 6 (11 enodes) 21.645 * * [simplify]: iters left: 5 (36 enodes) 21.655 * * [simplify]: iters left: 4 (39 enodes) 21.668 * * [simplify]: Extracting #0: cost 1 inf + 0 21.668 * * [simplify]: Extracting #1: cost 3 inf + 0 21.669 * * [simplify]: Extracting #2: cost 6 inf + 0 21.669 * * [simplify]: Extracting #3: cost 7 inf + 1 21.669 * * [simplify]: Extracting #4: cost 11 inf + 1 21.669 * * [simplify]: Extracting #5: cost 13 inf + 2 21.669 * * [simplify]: Extracting #6: cost 15 inf + 43 21.669 * * [simplify]: Extracting #7: cost 16 inf + 125 21.669 * * [simplify]: Extracting #8: cost 14 inf + 167 21.669 * * [simplify]: Extracting #9: cost 12 inf + 330 21.670 * * [simplify]: Extracting #10: cost 7 inf + 1019 21.670 * * [simplify]: Extracting #11: cost 3 inf + 1988 21.671 * * [simplify]: Extracting #12: cost 0 inf + 2917 21.672 * [simplify]: Simplified to (sqrt (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 21.672 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 21.672 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 21.673 * [simplify]: Simplifying (sqrt (/ 2.0 1)) 21.673 * * [simplify]: iters left: 3 (4 enodes) 21.676 * * [simplify]: iters left: 2 (12 enodes) 21.680 * * [simplify]: iters left: 1 (14 enodes) 21.685 * * [simplify]: Extracting #0: cost 1 inf + 0 21.685 * * [simplify]: Extracting #1: cost 3 inf + 0 21.685 * * [simplify]: Extracting #2: cost 0 inf + 83 21.685 * [simplify]: Simplified to (sqrt 2.0) 21.685 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 21.685 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 21.686 * [simplify]: Simplifying (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.686 * * [simplify]: iters left: 6 (12 enodes) 21.691 * * [simplify]: iters left: 5 (38 enodes) 21.702 * * [simplify]: Extracting #0: cost 1 inf + 0 21.702 * * [simplify]: Extracting #1: cost 3 inf + 0 21.702 * * [simplify]: Extracting #2: cost 6 inf + 0 21.702 * * [simplify]: Extracting #3: cost 8 inf + 1 21.702 * * [simplify]: Extracting #4: cost 12 inf + 1 21.702 * * [simplify]: Extracting #5: cost 13 inf + 2 21.702 * * [simplify]: Extracting #6: cost 14 inf + 84 21.702 * * [simplify]: Extracting #7: cost 16 inf + 125 21.702 * * [simplify]: Extracting #8: cost 14 inf + 167 21.703 * * [simplify]: Extracting #9: cost 11 inf + 371 21.703 * * [simplify]: Extracting #10: cost 4 inf + 1785 21.704 * * [simplify]: Extracting #11: cost 0 inf + 3157 21.705 * [simplify]: Simplified to (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.705 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.705 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 21.706 * [simplify]: Simplifying (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.706 * * [simplify]: iters left: 6 (12 enodes) 21.711 * * [simplify]: iters left: 5 (38 enodes) 21.721 * * [simplify]: Extracting #0: cost 1 inf + 0 21.721 * * [simplify]: Extracting #1: cost 3 inf + 0 21.721 * * [simplify]: Extracting #2: cost 6 inf + 0 21.721 * * [simplify]: Extracting #3: cost 8 inf + 1 21.721 * * [simplify]: Extracting #4: cost 12 inf + 1 21.721 * * [simplify]: Extracting #5: cost 13 inf + 2 21.721 * * [simplify]: Extracting #6: cost 14 inf + 84 21.721 * * [simplify]: Extracting #7: cost 16 inf + 125 21.721 * * [simplify]: Extracting #8: cost 14 inf + 167 21.721 * * [simplify]: Extracting #9: cost 11 inf + 371 21.721 * * [simplify]: Extracting #10: cost 4 inf + 1785 21.722 * * [simplify]: Extracting #11: cost 0 inf + 3157 21.722 * [simplify]: Simplified to (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 21.722 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 21.723 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 21.723 * [simplify]: Simplifying (sqrt (/ 2.0 1)) 21.723 * * [simplify]: iters left: 3 (4 enodes) 21.725 * * [simplify]: iters left: 2 (12 enodes) 21.727 * * [simplify]: iters left: 1 (14 enodes) 21.729 * * [simplify]: Extracting #0: cost 1 inf + 0 21.729 * * [simplify]: Extracting #1: cost 3 inf + 0 21.730 * * [simplify]: Extracting #2: cost 0 inf + 83 21.730 * [simplify]: Simplified to (sqrt 2.0) 21.730 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 21.730 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 21.730 * [simplify]: Simplifying (sqrt 1) 21.730 * * [simplify]: iters left: 1 (2 enodes) 21.732 * * [simplify]: Extracting #0: cost 1 inf + 0 21.732 * * [simplify]: Extracting #1: cost 0 inf + 1 21.732 * [simplify]: Simplified to 1 21.732 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))) 21.732 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 21.732 * [simplify]: Simplifying (sqrt (* 2.0 (* im im))) 21.732 * * [simplify]: iters left: 5 (5 enodes) 21.734 * * [simplify]: iters left: 4 (18 enodes) 21.737 * * [simplify]: iters left: 3 (22 enodes) 21.740 * * [simplify]: Extracting #0: cost 1 inf + 0 21.740 * * [simplify]: Extracting #1: cost 3 inf + 0 21.740 * * [simplify]: Extracting #2: cost 8 inf + 0 21.740 * * [simplify]: Extracting #3: cost 7 inf + 43 21.740 * * [simplify]: Extracting #4: cost 0 inf + 576 21.740 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 21.740 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (* 2.0 (* im im))) (sqrt (/ 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 21.740 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 21.741 * [simplify]: Simplifying (sqrt (/ (* 2.0 (* im im)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 21.741 * * [simplify]: iters left: 6 (14 enodes) 21.745 * * [simplify]: iters left: 5 (62 enodes) 21.760 * * [simplify]: iters left: 4 (116 enodes) 21.808 * * [simplify]: iters left: 3 (268 enodes) 21.917 * * [simplify]: Extracting #0: cost 1 inf + 0 21.917 * * [simplify]: Extracting #1: cost 3 inf + 0 21.917 * * [simplify]: Extracting #2: cost 42 inf + 0 21.918 * * [simplify]: Extracting #3: cost 112 inf + 2 21.923 * * [simplify]: Extracting #4: cost 203 inf + 167 21.926 * * [simplify]: Extracting #5: cost 186 inf + 8333 21.937 * * [simplify]: Extracting #6: cost 64 inf + 50220 21.957 * * [simplify]: Extracting #7: cost 3 inf + 81117 21.977 * * [simplify]: Extracting #8: cost 0 inf + 82747 21.998 * [simplify]: Simplified to (sqrt (* (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))) 2.0)) 21.998 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (* (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))) 2.0)) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 21.998 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 21.999 * [simplify]: Simplifying (sqrt (/ (* 2.0 (* im im)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 21.999 * * [simplify]: iters left: 6 (12 enodes) 22.005 * * [simplify]: iters left: 5 (45 enodes) 22.020 * * [simplify]: iters left: 4 (98 enodes) 22.042 * * [simplify]: iters left: 3 (228 enodes) 22.100 * * [simplify]: Extracting #0: cost 1 inf + 0 22.100 * * [simplify]: Extracting #1: cost 3 inf + 0 22.100 * * [simplify]: Extracting #2: cost 53 inf + 0 22.101 * * [simplify]: Extracting #3: cost 131 inf + 43 22.101 * * [simplify]: Extracting #4: cost 144 inf + 2409 22.102 * * [simplify]: Extracting #5: cost 129 inf + 3842 22.104 * * [simplify]: Extracting #6: cost 99 inf + 7344 22.107 * * [simplify]: Extracting #7: cost 51 inf + 18818 22.117 * * [simplify]: Extracting #8: cost 0 inf + 33023 22.131 * [simplify]: Simplified to (sqrt (/ 2.0 (/ (* im im) (* im im)))) 22.131 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (/ (* im im) (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 22.131 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 22.132 * [simplify]: Simplifying (sqrt (* 2.0 (* im im))) 22.132 * * [simplify]: iters left: 5 (5 enodes) 22.133 * * [simplify]: iters left: 4 (18 enodes) 22.136 * * [simplify]: iters left: 3 (22 enodes) 22.141 * * [simplify]: Extracting #0: cost 1 inf + 0 22.141 * * [simplify]: Extracting #1: cost 3 inf + 0 22.141 * * [simplify]: Extracting #2: cost 8 inf + 0 22.141 * * [simplify]: Extracting #3: cost 7 inf + 43 22.141 * * [simplify]: Extracting #4: cost 0 inf + 576 22.141 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 22.141 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 22.141 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 22.142 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 22.142 * * [simplify]: iters left: 6 (10 enodes) 22.144 * * [simplify]: iters left: 5 (38 enodes) 22.151 * * [simplify]: iters left: 4 (57 enodes) 22.159 * * [simplify]: iters left: 3 (84 enodes) 22.171 * * [simplify]: iters left: 2 (124 enodes) 22.196 * * [simplify]: iters left: 1 (145 enodes) 22.215 * * [simplify]: Extracting #0: cost 1 inf + 0 22.215 * * [simplify]: Extracting #1: cost 16 inf + 0 22.215 * * [simplify]: Extracting #2: cost 40 inf + 2 22.215 * * [simplify]: Extracting #3: cost 46 inf + 375 22.216 * * [simplify]: Extracting #4: cost 36 inf + 1320 22.216 * * [simplify]: Extracting #5: cost 23 inf + 3790 22.218 * * [simplify]: Extracting #6: cost 0 inf + 8845 22.221 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 22.221 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2)))) 22.221 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 22.221 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 22.222 * [simplify]: Simplifying (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) 22.222 * * [simplify]: iters left: 6 (11 enodes) 22.226 * * [simplify]: iters left: 5 (41 enodes) 22.240 * * [simplify]: iters left: 4 (60 enodes) 22.258 * * [simplify]: iters left: 3 (87 enodes) 22.284 * * [simplify]: iters left: 2 (127 enodes) 22.320 * * [simplify]: iters left: 1 (148 enodes) 22.359 * * [simplify]: Extracting #0: cost 1 inf + 0 22.359 * * [simplify]: Extracting #1: cost 3 inf + 0 22.360 * * [simplify]: Extracting #2: cost 18 inf + 0 22.360 * * [simplify]: Extracting #3: cost 42 inf + 2 22.360 * * [simplify]: Extracting #4: cost 49 inf + 373 22.361 * * [simplify]: Extracting #5: cost 40 inf + 1156 22.362 * * [simplify]: Extracting #6: cost 29 inf + 2741 22.366 * * [simplify]: Extracting #7: cost 5 inf + 8360 22.370 * * [simplify]: Extracting #8: cost 0 inf + 9491 22.374 * [simplify]: Simplified to (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) 22.374 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (fabs (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))) 22.374 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 22.374 * * * * [progress]: [ 72 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))))> 22.374 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 22.375 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 22.375 * * [simplify]: iters left: 6 (9 enodes) 22.377 * * [simplify]: iters left: 5 (30 enodes) 22.381 * * [simplify]: iters left: 4 (34 enodes) 22.385 * * [simplify]: iters left: 3 (39 enodes) 22.390 * * [simplify]: iters left: 2 (44 enodes) 22.398 * * [simplify]: iters left: 1 (52 enodes) 22.412 * * [simplify]: Extracting #0: cost 1 inf + 0 22.412 * * [simplify]: Extracting #1: cost 9 inf + 0 22.413 * * [simplify]: Extracting #2: cost 15 inf + 1 22.413 * * [simplify]: Extracting #3: cost 17 inf + 2 22.413 * * [simplify]: Extracting #4: cost 18 inf + 114 22.413 * * [simplify]: Extracting #5: cost 15 inf + 601 22.414 * * [simplify]: Extracting #6: cost 7 inf + 1413 22.414 * * [simplify]: Extracting #7: cost 0 inf + 3047 22.415 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 22.416 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 22.416 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 22.416 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 22.417 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 22.417 * * [simplify]: iters left: 6 (9 enodes) 22.421 * * [simplify]: iters left: 5 (29 enodes) 22.428 * * [simplify]: Extracting #0: cost 1 inf + 0 22.428 * * [simplify]: Extracting #1: cost 4 inf + 0 22.428 * * [simplify]: Extracting #2: cost 8 inf + 0 22.428 * * [simplify]: Extracting #3: cost 9 inf + 1 22.429 * * [simplify]: Extracting #4: cost 11 inf + 42 22.429 * * [simplify]: Extracting #5: cost 12 inf + 124 22.429 * * [simplify]: Extracting #6: cost 8 inf + 248 22.429 * * [simplify]: Extracting #7: cost 5 inf + 654 22.429 * * [simplify]: Extracting #8: cost 2 inf + 1300 22.430 * * [simplify]: Extracting #9: cost 0 inf + 1784 22.431 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 22.431 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 22.431 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 22.431 * * [simplify]: iters left: 6 (9 enodes) 22.435 * * [simplify]: iters left: 5 (30 enodes) 22.444 * * [simplify]: iters left: 4 (33 enodes) 22.452 * * [simplify]: Extracting #0: cost 1 inf + 0 22.452 * * [simplify]: Extracting #1: cost 5 inf + 0 22.452 * * [simplify]: Extracting #2: cost 10 inf + 0 22.452 * * [simplify]: Extracting #3: cost 11 inf + 1 22.452 * * [simplify]: Extracting #4: cost 10 inf + 245 22.452 * * [simplify]: Extracting #5: cost 12 inf + 286 22.452 * * [simplify]: Extracting #6: cost 8 inf + 410 22.452 * * [simplify]: Extracting #7: cost 6 inf + 694 22.453 * * [simplify]: Extracting #8: cost 1 inf + 1744 22.453 * * [simplify]: Extracting #9: cost 0 inf + 1946 22.453 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 22.453 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 22.453 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 22.454 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 22.454 * * [simplify]: iters left: 6 (9 enodes) 22.455 * * [simplify]: iters left: 5 (29 enodes) 22.459 * * [simplify]: Extracting #0: cost 1 inf + 0 22.459 * * [simplify]: Extracting #1: cost 4 inf + 0 22.459 * * [simplify]: Extracting #2: cost 8 inf + 0 22.459 * * [simplify]: Extracting #3: cost 9 inf + 1 22.459 * * [simplify]: Extracting #4: cost 11 inf + 42 22.459 * * [simplify]: Extracting #5: cost 12 inf + 124 22.459 * * [simplify]: Extracting #6: cost 8 inf + 248 22.460 * * [simplify]: Extracting #7: cost 5 inf + 654 22.460 * * [simplify]: Extracting #8: cost 2 inf + 1300 22.460 * * [simplify]: Extracting #9: cost 0 inf + 1784 22.460 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 22.460 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 22.461 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 22.461 * * [simplify]: iters left: 6 (9 enodes) 22.463 * * [simplify]: iters left: 5 (30 enodes) 22.467 * * [simplify]: iters left: 4 (33 enodes) 22.471 * * [simplify]: Extracting #0: cost 1 inf + 0 22.471 * * [simplify]: Extracting #1: cost 5 inf + 0 22.471 * * [simplify]: Extracting #2: cost 10 inf + 0 22.471 * * [simplify]: Extracting #3: cost 11 inf + 1 22.471 * * [simplify]: Extracting #4: cost 10 inf + 245 22.472 * * [simplify]: Extracting #5: cost 12 inf + 286 22.472 * * [simplify]: Extracting #6: cost 8 inf + 410 22.473 * * [simplify]: Extracting #7: cost 6 inf + 694 22.474 * * [simplify]: Extracting #8: cost 1 inf + 1744 22.475 * * [simplify]: Extracting #9: cost 0 inf + 1946 22.475 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 22.475 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 22.476 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 22.476 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 22.476 * * [simplify]: iters left: 6 (7 enodes) 22.479 * * [simplify]: iters left: 5 (24 enodes) 22.486 * * [simplify]: iters left: 4 (27 enodes) 22.493 * * [simplify]: Extracting #0: cost 1 inf + 0 22.493 * * [simplify]: Extracting #1: cost 5 inf + 0 22.493 * * [simplify]: Extracting #2: cost 7 inf + 1 22.493 * * [simplify]: Extracting #3: cost 8 inf + 83 22.493 * * [simplify]: Extracting #4: cost 10 inf + 124 22.493 * * [simplify]: Extracting #5: cost 6 inf + 248 22.493 * * [simplify]: Extracting #6: cost 3 inf + 654 22.494 * * [simplify]: Extracting #7: cost 1 inf + 1018 22.494 * * [simplify]: Extracting #8: cost 0 inf + 1220 22.495 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 22.495 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 22.495 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 22.495 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 22.495 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 22.495 * [simplify]: Simplifying im 22.496 * * [simplify]: iters left: 0 (1 enodes) 22.496 * * [simplify]: Extracting #0: cost 1 inf + 0 22.496 * * [simplify]: Extracting #1: cost 0 inf + 1 22.496 * [simplify]: Simplified to im 22.496 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- im re))))) 22.496 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 22.496 * [simplify]: Simplifying re 22.496 * * [simplify]: iters left: 0 (1 enodes) 22.497 * * [simplify]: Extracting #0: cost 1 inf + 0 22.497 * * [simplify]: Extracting #1: cost 0 inf + 1 22.497 * [simplify]: Simplified to re 22.497 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- re re))))) 22.497 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 22.497 * [simplify]: Simplifying (* -1 re) 22.497 * * [simplify]: iters left: 2 (3 enodes) 22.499 * * [simplify]: iters left: 1 (11 enodes) 22.502 * * [simplify]: Extracting #0: cost 1 inf + 0 22.502 * * [simplify]: Extracting #1: cost 4 inf + 0 22.503 * * [simplify]: Extracting #2: cost 0 inf + 84 22.503 * [simplify]: Simplified to (- re) 22.503 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (- re) re))))) 22.503 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 22.503 * [simplify]: Simplifying (* 4.0 re) 22.503 * * [simplify]: iters left: 2 (3 enodes) 22.505 * * [simplify]: iters left: 1 (10 enodes) 22.508 * * [simplify]: Extracting #0: cost 1 inf + 0 22.508 * * [simplify]: Extracting #1: cost 4 inf + 0 22.508 * * [simplify]: Extracting #2: cost 2 inf + 2 22.508 * * [simplify]: Extracting #3: cost 0 inf + 86 22.508 * [simplify]: Simplified to (* 4.0 re) 22.508 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 4.0 re)))) 22.508 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 22.509 * [simplify]: Simplifying (+ (* 2.0 re) (* 2.0 im)) 22.509 * * [simplify]: iters left: 4 (6 enodes) 22.512 * * [simplify]: iters left: 3 (23 enodes) 22.519 * * [simplify]: iters left: 2 (28 enodes) 22.527 * * [simplify]: Extracting #0: cost 1 inf + 0 22.527 * * [simplify]: Extracting #1: cost 6 inf + 0 22.527 * * [simplify]: Extracting #2: cost 10 inf + 1 22.527 * * [simplify]: Extracting #3: cost 8 inf + 3 22.527 * * [simplify]: Extracting #4: cost 0 inf + 501 22.527 * * [simplify]: Extracting #5: cost 0 inf + 421 22.528 * [simplify]: Simplified to (* 2.0 (+ re im)) 22.528 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im))))) 22.528 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 22.528 * [simplify]: Simplifying 0 22.528 * * [simplify]: iters left: 0 (1 enodes) 22.529 * * [simplify]: Extracting #0: cost 1 inf + 0 22.529 * * [simplify]: Extracting #1: cost 0 inf + 1 22.529 * [simplify]: Simplified to 0 22.529 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt 0))) 22.529 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 22.530 * [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))))))))) 22.530 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 22.530 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 22.530 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 22.530 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 22.530 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 22.531 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 22.531 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 22.531 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 22.531 * [simplify]: Simplifying (- im re) 22.531 * * [simplify]: iters left: 2 (3 enodes) 22.532 * * [simplify]: iters left: 1 (11 enodes) 22.535 * * [simplify]: Extracting #0: cost 1 inf + 0 22.536 * * [simplify]: Extracting #1: cost 5 inf + 0 22.536 * * [simplify]: Extracting #2: cost 3 inf + 43 22.536 * * [simplify]: Extracting #3: cost 0 inf + 168 22.536 * [simplify]: Simplified to (- im re) 22.536 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- im re))))) 22.536 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 22.536 * [simplify]: Simplifying 0 22.536 * * [simplify]: iters left: 0 (1 enodes) 22.537 * * [simplify]: Extracting #0: cost 1 inf + 0 22.537 * * [simplify]: Extracting #1: cost 0 inf + 1 22.537 * [simplify]: Simplified to 0 22.537 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) 0)))) 22.538 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 22.538 * [simplify]: Simplifying (* -2 re) 22.538 * * [simplify]: iters left: 2 (3 enodes) 22.540 * * [simplify]: iters left: 1 (10 enodes) 22.542 * * [simplify]: Extracting #0: cost 1 inf + 0 22.543 * * [simplify]: Extracting #1: cost 4 inf + 0 22.543 * * [simplify]: Extracting #2: cost 2 inf + 2 22.543 * * [simplify]: Extracting #3: cost 0 inf + 86 22.543 * [simplify]: Simplified to (* -2 re) 22.543 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* -2 re))))) 22.543 * * * [progress]: adding candidates to table 23.669 * [progress]: [Phase 3 of 3] Extracting. 23.669 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 23.670 * * * [regime-changes]: Trying 6 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)))) 23.670 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 23.790 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 23.871 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 23.951 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 24.049 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #) 24.130 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # #) 24.205 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # #) 24.277 * * * [regime]: Found split indices: #