36.793 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: Extracting # 1 : cost 0 0.059 * * [simplify]: Extracting # 2 : cost 0 0.059 * * [simplify]: Extracting # 3 : cost 0 0.059 * * [simplify]: Extracting # 4 : cost 0 0.059 * * [simplify]: Extracting # 5 : cost 0 0.059 * * [simplify]: Extracting # 6 : cost 0 0.059 * * [simplify]: Extracting # 7 : cost 0 0.059 * * [simplify]: Extracting # 8 : cost 0 0.059 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.063 * * [simplify]: Extracting # 0 : cost 0 0.063 * * [simplify]: Extracting # 1 : cost 0 0.063 * * [simplify]: Extracting # 2 : cost 0 0.063 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.069 * * [simplify]: Extracting # 0 : cost 0 0.069 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: iteration done: 24 enodes (cost 15 ) 0.075 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.134 * * * [progress]: generating rewritten candidates 0.134 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.149 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.204 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.275 * * * [progress]: generating series expansions 0.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.275 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.275 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.275 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.275 * [taylor]: Taking taylor expansion of re in im 0.275 * [backup-simplify]: Simplify re into re 0.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.276 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.276 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.276 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.277 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [backup-simplify]: Simplify im into im 0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.277 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.278 * [taylor]: Taking taylor expansion of re in re 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [backup-simplify]: Simplify im into im 0.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.278 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [taylor]: Taking taylor expansion of 0 in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.282 * [backup-simplify]: Simplify (+ 1 0) into 1 0.282 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.283 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.283 * [taylor]: Taking taylor expansion of 1/2 in im 0.283 * [backup-simplify]: Simplify 1/2 into 1/2 0.283 * [taylor]: Taking taylor expansion of im in im 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in im 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.289 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.290 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.290 * [taylor]: Taking taylor expansion of re in im 0.291 * [backup-simplify]: Simplify re into re 0.291 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [backup-simplify]: Simplify im into im 0.295 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (+ 0 1) into 1 0.297 * [backup-simplify]: Simplify (sqrt 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.299 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [backup-simplify]: Simplify im into im 0.299 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.304 * [taylor]: Taking taylor expansion of 1 in im 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of 0 in im 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) 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 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [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 0.309 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in im 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.315 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.315 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.316 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.316 * [taylor]: Taking taylor expansion of re in im 0.316 * [backup-simplify]: Simplify re into re 0.316 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.317 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (sqrt 1) into 1 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.320 * [taylor]: Taking taylor expansion of im in re 0.320 * [backup-simplify]: Simplify im into im 0.320 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.320 * [taylor]: Taking taylor expansion of re in re 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (+ 0 1) into 1 0.321 * [backup-simplify]: Simplify (sqrt 1) into 1 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.324 * [taylor]: Taking taylor expansion of im in re 0.324 * [backup-simplify]: Simplify im into im 0.324 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.324 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.328 * [taylor]: Taking taylor expansion of 1 in im 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of 0 in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.331 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.331 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.331 * [taylor]: Taking taylor expansion of 1/2 in im 0.331 * [backup-simplify]: Simplify 1/2 into 1/2 0.331 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.331 * [taylor]: Taking taylor expansion of im in im 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in im 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.339 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.339 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.339 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.339 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.339 * [taylor]: Taking taylor expansion of re in im 0.339 * [backup-simplify]: Simplify re into re 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.339 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.340 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.340 * [taylor]: Taking taylor expansion of re in im 0.340 * [backup-simplify]: Simplify re into re 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.340 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.340 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.340 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.341 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [backup-simplify]: Simplify im into im 0.341 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.341 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.341 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.341 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.342 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.342 * [taylor]: Taking taylor expansion of re in re 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.342 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.342 * [taylor]: Taking taylor expansion of re in re 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.342 * [taylor]: Taking taylor expansion of im in re 0.342 * [backup-simplify]: Simplify im into im 0.342 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.343 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.343 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 im) into im 0.343 * [taylor]: Taking taylor expansion of im in im 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.344 * [taylor]: Taking taylor expansion of 1 in im 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.345 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.346 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.346 * [taylor]: Taking taylor expansion of 1/2 in im 0.346 * [backup-simplify]: Simplify 1/2 into 1/2 0.346 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [taylor]: Taking taylor expansion of 0 in im 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.353 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.353 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.353 * [taylor]: Taking taylor expansion of re in im 0.353 * [backup-simplify]: Simplify re into re 0.353 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.354 * [taylor]: Taking taylor expansion of re in im 0.354 * [backup-simplify]: Simplify re into re 0.354 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.354 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (sqrt 1) into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.357 * [taylor]: Taking taylor expansion of re in re 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [backup-simplify]: Simplify im into im 0.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.362 * [taylor]: Taking taylor expansion of re in re 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.362 * [taylor]: Taking taylor expansion of im in re 0.362 * [backup-simplify]: Simplify im into im 0.362 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.363 * [taylor]: Taking taylor expansion of re in re 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (+ 0 1) into 1 0.364 * [backup-simplify]: Simplify (sqrt 1) into 1 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.367 * [backup-simplify]: Simplify (+ 1 1) into 2 0.367 * [taylor]: Taking taylor expansion of 2 in im 0.367 * [backup-simplify]: Simplify 2 into 2 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [taylor]: Taking taylor expansion of 0 in im 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 2 into 2 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.376 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.376 * [taylor]: Taking taylor expansion of 1/2 in im 0.376 * [backup-simplify]: Simplify 1/2 into 1/2 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.376 * [taylor]: Taking taylor expansion of im in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [taylor]: Taking taylor expansion of 0 in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.386 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.386 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.386 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.387 * [taylor]: Taking taylor expansion of im in im 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.387 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.387 * [taylor]: Taking taylor expansion of re in im 0.387 * [backup-simplify]: Simplify re into re 0.387 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.388 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.388 * [backup-simplify]: Simplify (sqrt 1) into 1 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.391 * [taylor]: Taking taylor expansion of re in im 0.391 * [backup-simplify]: Simplify re into re 0.391 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.391 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.391 * [taylor]: Taking taylor expansion of im in re 0.391 * [backup-simplify]: Simplify im into im 0.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (+ 0 1) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [backup-simplify]: Simplify im into im 0.396 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.396 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (+ 0 1) into 1 0.397 * [backup-simplify]: Simplify (sqrt 1) into 1 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (- 1) into -1 0.401 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in im 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.405 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.407 * [taylor]: Taking taylor expansion of 1/2 in im 0.407 * [backup-simplify]: Simplify 1/2 into 1/2 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.417 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 0.417 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.417 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.417 * [taylor]: Taking taylor expansion of 2.0 in im 0.417 * [backup-simplify]: Simplify 2.0 into 2.0 0.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.418 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.418 * [taylor]: Taking taylor expansion of re in im 0.418 * [backup-simplify]: Simplify re into re 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.418 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.418 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.418 * [taylor]: Taking taylor expansion of re in im 0.418 * [backup-simplify]: Simplify re into re 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.419 * [taylor]: Taking taylor expansion of im in im 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.419 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.420 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.420 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.420 * [taylor]: Taking taylor expansion of 2.0 in re 0.420 * [backup-simplify]: Simplify 2.0 into 2.0 0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.421 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.421 * [taylor]: Taking taylor expansion of re in re 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.422 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.422 * [taylor]: Taking taylor expansion of im in re 0.422 * [backup-simplify]: Simplify im into im 0.422 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.422 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.422 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 im) into im 0.423 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.423 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.424 * [taylor]: Taking taylor expansion of 2.0 in re 0.424 * [backup-simplify]: Simplify 2.0 into 2.0 0.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.425 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.425 * [taylor]: Taking taylor expansion of re in re 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.425 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.425 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.425 * [taylor]: Taking taylor expansion of re in re 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.425 * [taylor]: Taking taylor expansion of im in re 0.425 * [backup-simplify]: Simplify im into im 0.425 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.425 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.425 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 im) into im 0.426 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.426 * [backup-simplify]: Simplify (+ 1 0) into 1 0.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.427 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.427 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.427 * [taylor]: Taking taylor expansion of 2.0 in im 0.427 * [backup-simplify]: Simplify 2.0 into 2.0 0.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.428 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (sqrt 0) into 0 0.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.430 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.431 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.431 * [taylor]: Taking taylor expansion of 1/2 in im 0.431 * [backup-simplify]: Simplify 1/2 into 1/2 0.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.432 * [taylor]: Taking taylor expansion of 2.0 in im 0.432 * [backup-simplify]: Simplify 2.0 into 2.0 0.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.433 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.433 * [taylor]: Taking taylor expansion of im in im 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (sqrt 0) into 0 0.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.437 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.438 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.442 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.444 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.446 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.448 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.448 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.448 * [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)))) 0.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.450 * [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))))) 0.450 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.450 * [taylor]: Taking taylor expansion of 1/8 in im 0.450 * [backup-simplify]: Simplify 1/8 into 1/8 0.450 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.450 * [taylor]: Taking taylor expansion of 2.0 in im 0.450 * [backup-simplify]: Simplify 2.0 into 2.0 0.451 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.451 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (sqrt 0) into 0 0.454 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.462 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.464 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.465 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.470 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.475 * [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))))))) 0.475 * [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 im 2)) (/ 1 (pow re 2))))))) 0.475 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.475 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.475 * [taylor]: Taking taylor expansion of 2.0 in im 0.475 * [backup-simplify]: Simplify 2.0 into 2.0 0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.477 * [taylor]: Taking taylor expansion of re in im 0.477 * [backup-simplify]: Simplify re into re 0.477 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.477 * [taylor]: Taking taylor expansion of im in im 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.477 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.478 * [taylor]: Taking taylor expansion of re in im 0.478 * [backup-simplify]: Simplify re into re 0.478 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.478 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (sqrt 1) into 1 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 1) into 1 0.481 * [backup-simplify]: Simplify (sqrt 0) into 0 0.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.483 * [taylor]: Taking taylor expansion of 2.0 in re 0.483 * [backup-simplify]: Simplify 2.0 into 2.0 0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.485 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.489 * [backup-simplify]: Simplify (+ 1 1) into 2 0.489 * [backup-simplify]: Simplify (sqrt 0) into 0 0.490 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.490 * [taylor]: Taking taylor expansion of 2.0 in re 0.490 * [backup-simplify]: Simplify 2.0 into 2.0 0.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.492 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.492 * [taylor]: Taking taylor expansion of im in re 0.492 * [backup-simplify]: Simplify im into im 0.492 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.492 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.492 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.492 * [taylor]: Taking taylor expansion of re in re 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [backup-simplify]: Simplify (+ 0 1) into 1 0.494 * [backup-simplify]: Simplify (sqrt 1) into 1 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.496 * [backup-simplify]: Simplify (+ 1 1) into 2 0.497 * [backup-simplify]: Simplify (sqrt 0) into 0 0.498 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.498 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.498 * [taylor]: Taking taylor expansion of 0 in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.500 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.500 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.500 * [taylor]: Taking taylor expansion of +nan.0 in im 0.500 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.500 * [taylor]: Taking taylor expansion of 2.0 in im 0.500 * [backup-simplify]: Simplify 2.0 into 2.0 0.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.512 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.512 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.512 * [taylor]: Taking taylor expansion of +nan.0 in im 0.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.513 * [taylor]: Taking taylor expansion of 2.0 in im 0.513 * [backup-simplify]: Simplify 2.0 into 2.0 0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.514 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.516 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.517 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.521 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.521 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.523 * [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)) 0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.526 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.526 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.526 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.526 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.526 * [taylor]: Taking taylor expansion of +nan.0 in im 0.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.526 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.526 * [taylor]: Taking taylor expansion of 2.0 in im 0.526 * [backup-simplify]: Simplify 2.0 into 2.0 0.526 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.528 * [taylor]: Taking taylor expansion of +nan.0 in im 0.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.528 * [taylor]: Taking taylor expansion of 2.0 in im 0.528 * [backup-simplify]: Simplify 2.0 into 2.0 0.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.535 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.536 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.537 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [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))) 0.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.546 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.546 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.546 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.546 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.546 * [taylor]: Taking taylor expansion of +nan.0 in im 0.546 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.546 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.546 * [taylor]: Taking taylor expansion of 2.0 in im 0.546 * [backup-simplify]: Simplify 2.0 into 2.0 0.546 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.548 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.548 * [taylor]: Taking taylor expansion of +nan.0 in im 0.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.548 * [taylor]: Taking taylor expansion of 2.0 in im 0.548 * [backup-simplify]: Simplify 2.0 into 2.0 0.549 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.557 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.558 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.560 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.562 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.563 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.568 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.568 * [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 im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.568 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.569 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.569 * [taylor]: Taking taylor expansion of 2.0 in im 0.569 * [backup-simplify]: Simplify 2.0 into 2.0 0.569 * [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 (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.570 * [taylor]: Taking taylor expansion of (pow im 2) 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 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.571 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.571 * [taylor]: Taking taylor expansion of re in im 0.571 * [backup-simplify]: Simplify re into re 0.571 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.571 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (sqrt 1) into 1 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.574 * [taylor]: Taking taylor expansion of re in im 0.574 * [backup-simplify]: Simplify re into re 0.574 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.574 * [backup-simplify]: Simplify (+ 1 0) into 1 0.575 * [backup-simplify]: Simplify (sqrt 0) into 0 0.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.576 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.576 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.576 * [taylor]: Taking taylor expansion of 2.0 in re 0.576 * [backup-simplify]: Simplify 2.0 into 2.0 0.577 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.577 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.578 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.578 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.578 * [taylor]: Taking taylor expansion of im in re 0.578 * [backup-simplify]: Simplify im into im 0.578 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.578 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.578 * [taylor]: Taking taylor expansion of re in re 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (+ 0 1) into 1 0.579 * [backup-simplify]: Simplify (sqrt 1) into 1 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.582 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.582 * [taylor]: Taking taylor expansion of re in re 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [backup-simplify]: Simplify (- 1) into -1 0.583 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.587 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.589 * [backup-simplify]: Simplify (sqrt 0) into 0 0.589 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.589 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.589 * [taylor]: Taking taylor expansion of 2.0 in re 0.589 * [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 (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.590 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.591 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [backup-simplify]: Simplify im into im 0.591 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.591 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.591 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [backup-simplify]: Simplify (+ 0 1) into 1 0.592 * [backup-simplify]: Simplify (sqrt 1) into 1 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.595 * [taylor]: Taking taylor expansion of re in re 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [backup-simplify]: Simplify (- 1) into -1 0.596 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (- 0) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.600 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.602 * [backup-simplify]: Simplify (sqrt 0) into 0 0.602 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.603 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.603 * [taylor]: Taking taylor expansion of 0 in im 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.604 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.604 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.604 * [taylor]: Taking taylor expansion of +nan.0 in im 0.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.604 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.604 * [taylor]: Taking taylor expansion of 2.0 in im 0.604 * [backup-simplify]: Simplify 2.0 into 2.0 0.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.617 * [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)))) 0.617 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.617 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.617 * [taylor]: Taking taylor expansion of +nan.0 in im 0.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.617 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.617 * [taylor]: Taking taylor expansion of 2.0 in im 0.617 * [backup-simplify]: Simplify 2.0 into 2.0 0.618 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.618 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* +nan.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 into 0 0.633 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.636 * [backup-simplify]: Simplify (- 0) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.646 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.647 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.649 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 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)))))) 0.649 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.650 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.650 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.650 * [taylor]: Taking taylor expansion of +nan.0 in im 0.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.650 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.650 * [taylor]: Taking taylor expansion of 2.0 in im 0.650 * [backup-simplify]: Simplify 2.0 into 2.0 0.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.651 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.652 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.652 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.652 * [taylor]: Taking taylor expansion of +nan.0 in im 0.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.652 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.652 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.652 * [taylor]: Taking taylor expansion of 2.0 in im 0.652 * [backup-simplify]: Simplify 2.0 into 2.0 0.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.653 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.692 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.692 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.692 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.692 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.692 * [taylor]: Taking taylor expansion of re in im 0.692 * [backup-simplify]: Simplify re into re 0.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.692 * [taylor]: Taking taylor expansion of im in im 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.692 * [backup-simplify]: Simplify im into im 0.692 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.692 * [backup-simplify]: Simplify im into im 0.693 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.693 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.693 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.693 * [taylor]: Taking taylor expansion of im in im 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [taylor]: Taking taylor expansion of 0 in im 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (* 1 1) into 1 0.694 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.695 * [backup-simplify]: Simplify (+ 1 0) into 1 0.695 * [taylor]: Taking taylor expansion of 1 in im 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (* 1 1) into 1 0.695 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.696 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [taylor]: Taking taylor expansion of 0 in im 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.699 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.700 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.701 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (* 1 1) into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.701 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.702 * [backup-simplify]: Simplify re into re 0.702 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.702 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.702 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [backup-simplify]: Simplify im into im 0.702 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.702 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.702 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (* 1 1) into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.703 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [backup-simplify]: Simplify im into im 0.703 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.703 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.703 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.703 * [taylor]: Taking taylor expansion of re in re 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [backup-simplify]: Simplify (+ 0 1) into 1 0.704 * [taylor]: Taking taylor expansion of 1 in im 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [taylor]: Taking taylor expansion of 0 in im 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (* 1 1) into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [taylor]: Taking taylor expansion of 0 in im 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.719 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.719 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.719 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.719 * [taylor]: Taking taylor expansion of im in im 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (* 1 1) into 1 0.720 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.720 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [backup-simplify]: Simplify re into re 0.720 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.720 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.720 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.720 * [taylor]: Taking taylor expansion of im in re 0.720 * [backup-simplify]: Simplify im into im 0.720 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.720 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.720 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (* 1 1) into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.722 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.722 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* 1 1) into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [backup-simplify]: Simplify (+ 0 1) into 1 0.723 * [taylor]: Taking taylor expansion of 1 in im 0.723 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [taylor]: Taking taylor expansion of 0 in im 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.727 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [taylor]: Taking taylor expansion of 0 in im 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.744 * * * [progress]: simplifying candidates 0.746 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.749 * * [simplify]: Extracting # 0 : cost 0 0.749 * * [simplify]: Extracting # 1 : cost 0 0.749 * * [simplify]: Extracting # 2 : cost 0 0.750 * * [simplify]: Extracting # 3 : cost 0 0.750 * * [simplify]: Extracting # 4 : cost 0 0.750 * * [simplify]: Extracting # 5 : cost 0 0.751 * * [simplify]: Extracting # 6 : cost 0 0.751 * * [simplify]: Extracting # 7 : cost 0 0.751 * * [simplify]: Extracting # 8 : cost 0 0.751 * * [simplify]: Extracting # 9 : cost 0 0.752 * * [simplify]: Extracting # 10 : cost 0 0.752 * * [simplify]: Extracting # 11 : cost 0 0.752 * * [simplify]: iteration 0 : 108 enodes (cost 888 ) 0.796 * * [simplify]: Extracting # 0 : cost 0 0.797 * * [simplify]: Extracting # 1 : cost 0 0.797 * * [simplify]: Extracting # 2 : cost 0 0.798 * * [simplify]: Extracting # 3 : cost 0 0.799 * * [simplify]: Extracting # 4 : cost 0 0.799 * * [simplify]: iteration 1 : 293 enodes (cost 782 ) 1.001 * * [simplify]: Extracting # 0 : cost 0 1.004 * * [simplify]: Extracting # 1 : cost 0 1.008 * * [simplify]: Extracting # 2 : cost 0 1.011 * * [simplify]: Extracting # 3 : cost 0 1.020 * * [simplify]: Extracting # 4 : cost 0 1.024 * * [simplify]: iteration 2 : 1331 enodes (cost 698 ) 1.677 * * [simplify]: Extracting # 0 : cost 0 1.687 * * [simplify]: Extracting # 1 : cost 0 1.700 * * [simplify]: Extracting # 2 : cost 0 1.712 * * [simplify]: Extracting # 3 : cost 0 1.732 * * [simplify]: Extracting # 4 : cost 0 1.744 * * [simplify]: iteration done: 5001 enodes (cost 682 ) 1.745 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))) (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ re im) (* 2 re) 0 (+ (* (* +nan.0 (sqrt 2.0)) (- im re)) (- (* +nan.0 (* (sqrt 2.0) (pow re 2))))) (+ (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re))) (- (* +nan.0 (sqrt 2.0)))) 0 (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 1.746 * * * [progress]: adding candidates to table 2.187 * * [progress]: iteration 2 / 4 2.187 * * * [progress]: picking best candidate 2.232 * * * * [pick]: Picked # 2.232 * * * [progress]: localizing error 2.280 * * * [progress]: generating rewritten candidates 2.280 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 2.295 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.313 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.423 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.509 * * * [progress]: generating series expansions 2.509 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 2.509 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.509 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.509 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.509 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.509 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.509 * [taylor]: Taking taylor expansion of re in im 2.509 * [backup-simplify]: Simplify re into re 2.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.509 * [taylor]: Taking taylor expansion of im in im 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.510 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.510 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.510 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.511 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.511 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.511 * [taylor]: Taking taylor expansion of re in re 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.511 * [taylor]: Taking taylor expansion of im in re 2.511 * [backup-simplify]: Simplify im into im 2.511 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.511 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.511 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.512 * [backup-simplify]: Simplify (+ 0 0) into 0 2.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.512 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.512 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.513 * [taylor]: Taking taylor expansion of re in re 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.513 * [taylor]: Taking taylor expansion of im in re 2.513 * [backup-simplify]: Simplify im into im 2.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.513 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.513 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.513 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.514 * [taylor]: Taking taylor expansion of im in im 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [taylor]: Taking taylor expansion of 0 in im 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (* 1 1) into 1 2.515 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.516 * [backup-simplify]: Simplify (+ 1 0) into 1 2.517 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.517 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.517 * [taylor]: Taking taylor expansion of 1/2 in im 2.517 * [backup-simplify]: Simplify 1/2 into 1/2 2.517 * [taylor]: Taking taylor expansion of im in im 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.520 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.520 * [taylor]: Taking taylor expansion of 0 in im 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.522 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.522 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.522 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.522 * [taylor]: Taking taylor expansion of im in im 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 1 into 1 2.523 * [backup-simplify]: Simplify (* 1 1) into 1 2.523 * [backup-simplify]: Simplify (/ 1 1) into 1 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.523 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [backup-simplify]: Simplify re into re 2.523 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.523 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.524 * [backup-simplify]: Simplify (+ 1 0) into 1 2.524 * [backup-simplify]: Simplify (sqrt 1) into 1 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.527 * [taylor]: Taking taylor expansion of im in re 2.527 * [backup-simplify]: Simplify im into im 2.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.527 * [taylor]: Taking taylor expansion of re in re 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (* 1 1) into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.529 * [backup-simplify]: Simplify (+ 0 1) into 1 2.529 * [backup-simplify]: Simplify (sqrt 1) into 1 2.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.531 * [taylor]: Taking taylor expansion of im in re 2.531 * [backup-simplify]: Simplify im into im 2.532 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.532 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.532 * [taylor]: Taking taylor expansion of re in re 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [backup-simplify]: Simplify (* 1 1) into 1 2.533 * [backup-simplify]: Simplify (/ 1 1) into 1 2.533 * [backup-simplify]: Simplify (+ 0 1) into 1 2.534 * [backup-simplify]: Simplify (sqrt 1) into 1 2.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (+ 0 0) into 0 2.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.536 * [taylor]: Taking taylor expansion of 1 in im 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [taylor]: Taking taylor expansion of 0 in im 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.539 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.539 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.539 * [taylor]: Taking taylor expansion of 1/2 in im 2.539 * [backup-simplify]: Simplify 1/2 into 1/2 2.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.539 * [taylor]: Taking taylor expansion of im in im 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (* 1 1) into 1 2.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.547 * [taylor]: Taking taylor expansion of 0 in im 2.547 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.550 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.550 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.551 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.551 * [taylor]: Taking taylor expansion of im in im 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (* 1 1) into 1 2.552 * [backup-simplify]: Simplify (/ 1 1) into 1 2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.552 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.552 * [taylor]: Taking taylor expansion of re in im 2.552 * [backup-simplify]: Simplify re into re 2.552 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.552 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.553 * [backup-simplify]: Simplify (+ 1 0) into 1 2.553 * [backup-simplify]: Simplify (sqrt 1) into 1 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.556 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.556 * [taylor]: Taking taylor expansion of im in re 2.556 * [backup-simplify]: Simplify im into im 2.556 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.556 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.556 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.556 * [taylor]: Taking taylor expansion of re in re 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.557 * [backup-simplify]: Simplify (/ 1 1) into 1 2.558 * [backup-simplify]: Simplify (+ 0 1) into 1 2.558 * [backup-simplify]: Simplify (sqrt 1) into 1 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify (+ 0 0) into 0 2.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.561 * [taylor]: Taking taylor expansion of im in re 2.561 * [backup-simplify]: Simplify im into im 2.561 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.561 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.561 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.561 * [taylor]: Taking taylor expansion of re in re 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [backup-simplify]: Simplify (* 1 1) into 1 2.562 * [backup-simplify]: Simplify (/ 1 1) into 1 2.562 * [backup-simplify]: Simplify (+ 0 1) into 1 2.562 * [backup-simplify]: Simplify (sqrt 1) into 1 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.565 * [taylor]: Taking taylor expansion of 1 in im 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [taylor]: Taking taylor expansion of 0 in im 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.568 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.568 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.568 * [taylor]: Taking taylor expansion of 1/2 in im 2.568 * [backup-simplify]: Simplify 1/2 into 1/2 2.568 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.568 * [taylor]: Taking taylor expansion of im in im 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (* 1 1) into 1 2.569 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.574 * [taylor]: Taking taylor expansion of 0 in im 2.574 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.576 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.576 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* im im) 0))) into (* (sqrt 2.0) im) 2.576 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 2.576 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.576 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.576 * [taylor]: Taking taylor expansion of 2.0 in im 2.576 * [backup-simplify]: Simplify 2.0 into 2.0 2.577 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.578 * [taylor]: Taking taylor expansion of im in im 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.578 * [taylor]: Taking taylor expansion of 2.0 in im 2.578 * [backup-simplify]: Simplify 2.0 into 2.0 2.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.579 * [taylor]: Taking taylor expansion of im in im 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.582 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.584 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.586 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.589 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.592 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.595 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.598 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 2.599 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) into (/ (sqrt 2.0) im) 2.599 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.599 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.599 * [taylor]: Taking taylor expansion of 2.0 in im 2.599 * [backup-simplify]: Simplify 2.0 into 2.0 2.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.600 * [taylor]: Taking taylor expansion of im in im 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.601 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.601 * [taylor]: Taking taylor expansion of 2.0 in im 2.601 * [backup-simplify]: Simplify 2.0 into 2.0 2.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.603 * [taylor]: Taking taylor expansion of im in im 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.604 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.619 * [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 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 2.620 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) into (/ (sqrt 2.0) im) 2.620 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.620 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.620 * [taylor]: Taking taylor expansion of 2.0 in im 2.621 * [backup-simplify]: Simplify 2.0 into 2.0 2.621 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.622 * [taylor]: Taking taylor expansion of im in im 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.623 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.623 * [taylor]: Taking taylor expansion of 2.0 in im 2.623 * [backup-simplify]: Simplify 2.0 into 2.0 2.631 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.632 * [taylor]: Taking taylor expansion of im in im 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.633 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.647 * [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 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 2.647 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.648 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) 2.648 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 2.648 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 2.648 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.648 * [taylor]: Taking taylor expansion of 2.0 in re 2.648 * [backup-simplify]: Simplify 2.0 into 2.0 2.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.649 * [taylor]: Taking taylor expansion of im in re 2.649 * [backup-simplify]: Simplify im into im 2.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 2.649 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 2.649 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.650 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.650 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.650 * [taylor]: Taking taylor expansion of re in re 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.650 * [taylor]: Taking taylor expansion of im in re 2.650 * [backup-simplify]: Simplify im into im 2.650 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.650 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.650 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.651 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.651 * [taylor]: Taking taylor expansion of re in re 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (- 0) into 0 2.651 * [backup-simplify]: Simplify (+ im 0) into im 2.652 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.652 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.652 * [backup-simplify]: Simplify (- 1) into -1 2.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 2.653 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 2.653 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 2.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.653 * [taylor]: Taking taylor expansion of 2.0 in im 2.653 * [backup-simplify]: Simplify 2.0 into 2.0 2.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.654 * [taylor]: Taking taylor expansion of im in im 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 2.654 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.654 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.654 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.654 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.654 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.654 * [taylor]: Taking taylor expansion of re in im 2.654 * [backup-simplify]: Simplify re into re 2.654 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.655 * [taylor]: Taking taylor expansion of im in im 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.655 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.655 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.655 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.655 * [backup-simplify]: Simplify (+ 0 0) into 0 2.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.656 * [taylor]: Taking taylor expansion of re in im 2.656 * [backup-simplify]: Simplify re into re 2.656 * [backup-simplify]: Simplify (- re) into (- re) 2.656 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.656 * [backup-simplify]: Simplify (- 0) into 0 2.657 * [backup-simplify]: Simplify (+ 0 0) into 0 2.657 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.657 * [backup-simplify]: Simplify (* 1 1) into 1 2.658 * [backup-simplify]: Simplify (+ 0 1) into 1 2.658 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.659 * [backup-simplify]: Simplify (- 0) into 0 2.659 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.659 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.659 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 2.660 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.661 * [backup-simplify]: Simplify (- 0) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.662 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 2.662 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.662 * [taylor]: Taking taylor expansion of 2.0 in im 2.662 * [backup-simplify]: Simplify 2.0 into 2.0 2.662 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.663 * [taylor]: Taking taylor expansion of im in im 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 2.663 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.663 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.663 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.663 * [taylor]: Taking taylor expansion of re in im 2.663 * [backup-simplify]: Simplify re into re 2.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.663 * [taylor]: Taking taylor expansion of im in im 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.664 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.664 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.664 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.664 * [taylor]: Taking taylor expansion of re in im 2.664 * [backup-simplify]: Simplify re into re 2.664 * [backup-simplify]: Simplify (- re) into (- re) 2.664 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.665 * [backup-simplify]: Simplify (- 0) into 0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.666 * [backup-simplify]: Simplify (* 1 1) into 1 2.666 * [backup-simplify]: Simplify (+ 0 1) into 1 2.667 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.667 * [backup-simplify]: Simplify (- 0) into 0 2.667 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.668 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.668 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 2.668 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.669 * [backup-simplify]: Simplify (+ 0 0) into 0 2.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.670 * [backup-simplify]: Simplify (- 0) into 0 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.670 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.671 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.671 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0 2.671 * [taylor]: Taking taylor expansion of 0 in re 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.674 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 2.674 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 2.674 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 2.674 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.674 * [taylor]: Taking taylor expansion of 2.0 in re 2.674 * [backup-simplify]: Simplify 2.0 into 2.0 2.675 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.675 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.675 * [taylor]: Taking taylor expansion of 2 in re 2.675 * [backup-simplify]: Simplify 2 into 2 2.676 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.676 * [taylor]: Taking taylor expansion of (sqrt re) in re 2.676 * [taylor]: Taking taylor expansion of re in re 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.677 * [backup-simplify]: Simplify (sqrt 0) into 0 2.678 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.679 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 2.680 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.682 * [backup-simplify]: Simplify (+ 0 0) into 0 2.683 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 2.683 * [backup-simplify]: Simplify (- 0) into 0 2.684 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 2.684 * [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)) 2.685 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))) 2.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.687 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.689 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0 2.689 * [taylor]: Taking taylor expansion of 0 in re 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 2.694 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.697 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.697 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 2.700 * [backup-simplify]: Simplify (- 0) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.701 * [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 2.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0 2.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.705 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 2.708 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 2.708 * [taylor]: Taking taylor expansion of 1/4 in re 2.708 * [backup-simplify]: Simplify 1/4 into 1/4 2.708 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 2.708 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 2.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.708 * [taylor]: Taking taylor expansion of 2.0 in re 2.708 * [backup-simplify]: Simplify 2.0 into 2.0 2.708 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.709 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.709 * [taylor]: Taking taylor expansion of 2 in re 2.709 * [backup-simplify]: Simplify 2 into 2 2.709 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.711 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 2.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.711 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.711 * [taylor]: Taking taylor expansion of re in re 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (* 1 1) into 1 2.712 * [backup-simplify]: Simplify (* 1 1) into 1 2.712 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [backup-simplify]: Simplify (sqrt 0) into 0 2.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.720 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 2.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.724 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 2.728 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.731 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.732 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 2.739 * [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)))) 2.742 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.742 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.748 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.755 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.770 * [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))))))))) 2.771 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 2.771 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.771 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.771 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.771 * [taylor]: Taking taylor expansion of 2.0 in re 2.771 * [backup-simplify]: Simplify 2.0 into 2.0 2.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.773 * [taylor]: Taking taylor expansion of im in re 2.773 * [backup-simplify]: Simplify im into im 2.773 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.773 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.773 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.773 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.773 * [taylor]: Taking taylor expansion of im in re 2.773 * [backup-simplify]: Simplify im into im 2.773 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.773 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.774 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.774 * [taylor]: Taking taylor expansion of re in re 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (* 1 1) into 1 2.774 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [backup-simplify]: Simplify (+ 0 1) into 1 2.775 * [backup-simplify]: Simplify (sqrt 1) into 1 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.778 * [taylor]: Taking taylor expansion of re in re 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [backup-simplify]: Simplify (- 1) into -1 2.779 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (- 0) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.785 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.785 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.785 * [backup-simplify]: Simplify (sqrt 0) into 0 2.786 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.786 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.786 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.786 * [taylor]: Taking taylor expansion of 2.0 in im 2.786 * [backup-simplify]: Simplify 2.0 into 2.0 2.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.787 * [taylor]: Taking taylor expansion of im in im 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.788 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.788 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.788 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.788 * [taylor]: Taking taylor expansion of im in im 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (/ 1 1) into 1 2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.789 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.789 * [taylor]: Taking taylor expansion of re in im 2.789 * [backup-simplify]: Simplify re into re 2.789 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.789 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.790 * [backup-simplify]: Simplify (+ 1 0) into 1 2.790 * [backup-simplify]: Simplify (sqrt 1) into 1 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.792 * [taylor]: Taking taylor expansion of re in im 2.792 * [backup-simplify]: Simplify re into re 2.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.793 * [backup-simplify]: Simplify (+ 1 0) into 1 2.793 * [backup-simplify]: Simplify (/ 1 1) into 1 2.793 * [backup-simplify]: Simplify (sqrt 0) into 0 2.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.795 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.795 * [taylor]: Taking taylor expansion of 2.0 in im 2.795 * [backup-simplify]: Simplify 2.0 into 2.0 2.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.796 * [taylor]: Taking taylor expansion of im in im 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.797 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.797 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.797 * [taylor]: Taking taylor expansion of im in im 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (* 1 1) into 1 2.798 * [backup-simplify]: Simplify (/ 1 1) into 1 2.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.798 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.798 * [taylor]: Taking taylor expansion of re in im 2.798 * [backup-simplify]: Simplify re into re 2.798 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.798 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.799 * [backup-simplify]: Simplify (+ 1 0) into 1 2.799 * [backup-simplify]: Simplify (sqrt 1) into 1 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.801 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.801 * [taylor]: Taking taylor expansion of re in im 2.801 * [backup-simplify]: Simplify re into re 2.801 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.802 * [backup-simplify]: Simplify (+ 1 0) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [backup-simplify]: Simplify (sqrt 0) into 0 2.804 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.804 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.805 * [taylor]: Taking taylor expansion of 0 in re 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.808 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.808 * [taylor]: Taking taylor expansion of +nan.0 in re 2.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.808 * [taylor]: Taking taylor expansion of 2.0 in re 2.808 * [backup-simplify]: Simplify 2.0 into 2.0 2.808 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.809 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.810 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [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))))) 2.814 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.814 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.814 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.814 * [taylor]: Taking taylor expansion of +nan.0 in re 2.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.814 * [taylor]: Taking taylor expansion of 2.0 in re 2.814 * [backup-simplify]: Simplify 2.0 into 2.0 2.815 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.815 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.815 * [taylor]: Taking taylor expansion of +nan.0 in re 2.815 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.815 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.815 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.816 * [taylor]: Taking taylor expansion of 2.0 in re 2.816 * [backup-simplify]: Simplify 2.0 into 2.0 2.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.817 * [taylor]: Taking taylor expansion of re in re 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.818 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.820 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.822 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.824 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.825 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.826 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.828 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.829 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.832 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.833 * [backup-simplify]: Simplify (- 0) into 0 2.833 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.834 * [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)))) 2.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.838 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.838 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.838 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.838 * [taylor]: Taking taylor expansion of +nan.0 in re 2.838 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.838 * [taylor]: Taking taylor expansion of 2.0 in re 2.838 * [backup-simplify]: Simplify 2.0 into 2.0 2.838 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.839 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.839 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.839 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.839 * [taylor]: Taking taylor expansion of +nan.0 in re 2.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.839 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.839 * [taylor]: Taking taylor expansion of 2.0 in re 2.839 * [backup-simplify]: Simplify 2.0 into 2.0 2.840 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.840 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.840 * [taylor]: Taking taylor expansion of re in re 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.842 * [taylor]: Taking taylor expansion of +nan.0 in re 2.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.842 * [taylor]: Taking taylor expansion of 2.0 in re 2.842 * [backup-simplify]: Simplify 2.0 into 2.0 2.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.843 * [taylor]: Taking taylor expansion of re in re 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.847 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.848 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.850 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.852 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.854 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.856 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.858 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.862 * [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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 2.863 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 2.863 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.863 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.863 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.863 * [taylor]: Taking taylor expansion of 2.0 in re 2.863 * [backup-simplify]: Simplify 2.0 into 2.0 2.864 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.864 * [taylor]: Taking taylor expansion of im in re 2.865 * [backup-simplify]: Simplify im into im 2.865 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.865 * [taylor]: Taking taylor expansion of re in re 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ 1 1) into 1 2.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.866 * [taylor]: Taking taylor expansion of im in re 2.866 * [backup-simplify]: Simplify im into im 2.866 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.866 * [taylor]: Taking taylor expansion of re in re 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (* 1 1) into 1 2.867 * [backup-simplify]: Simplify (/ 1 1) into 1 2.867 * [backup-simplify]: Simplify (+ 0 1) into 1 2.868 * [backup-simplify]: Simplify (sqrt 1) into 1 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.870 * [backup-simplify]: Simplify (+ 1 1) into 2 2.871 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.871 * [backup-simplify]: Simplify (sqrt 0) into 0 2.873 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.873 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.873 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.873 * [taylor]: Taking taylor expansion of 2.0 in im 2.873 * [backup-simplify]: Simplify 2.0 into 2.0 2.873 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.874 * [taylor]: Taking taylor expansion of im in im 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.875 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.875 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.875 * [taylor]: Taking taylor expansion of re in im 2.875 * [backup-simplify]: Simplify re into re 2.875 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.875 * [taylor]: Taking taylor expansion of im in im 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.876 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.876 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.876 * [taylor]: Taking taylor expansion of re in im 2.876 * [backup-simplify]: Simplify re into re 2.876 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.876 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.877 * [backup-simplify]: Simplify (+ 1 0) into 1 2.877 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [backup-simplify]: Simplify (sqrt 0) into 0 2.881 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.881 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.881 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.881 * [taylor]: Taking taylor expansion of 2.0 in im 2.881 * [backup-simplify]: Simplify 2.0 into 2.0 2.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.882 * [taylor]: Taking taylor expansion of im in im 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.883 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.883 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.883 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.883 * [taylor]: Taking taylor expansion of re in im 2.883 * [backup-simplify]: Simplify re into re 2.883 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.884 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.884 * [taylor]: Taking taylor expansion of im in im 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (* 1 1) into 1 2.884 * [backup-simplify]: Simplify (/ 1 1) into 1 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.884 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.884 * [taylor]: Taking taylor expansion of re in im 2.884 * [backup-simplify]: Simplify re into re 2.884 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.885 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.885 * [backup-simplify]: Simplify (+ 1 0) into 1 2.885 * [backup-simplify]: Simplify (sqrt 1) into 1 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.888 * [backup-simplify]: Simplify (+ 0 1) into 1 2.888 * [backup-simplify]: Simplify (/ 1 1) into 1 2.888 * [backup-simplify]: Simplify (sqrt 0) into 0 2.890 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.890 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.890 * [taylor]: Taking taylor expansion of 0 in re 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.893 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.893 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.893 * [taylor]: Taking taylor expansion of +nan.0 in re 2.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.893 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.893 * [taylor]: Taking taylor expansion of 2.0 in re 2.893 * [backup-simplify]: Simplify 2.0 into 2.0 2.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.895 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.896 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.898 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.899 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 2.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [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))))) 2.903 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.903 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.903 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.903 * [taylor]: Taking taylor expansion of +nan.0 in re 2.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.903 * [taylor]: Taking taylor expansion of 2.0 in re 2.903 * [backup-simplify]: Simplify 2.0 into 2.0 2.910 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.911 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.911 * [taylor]: Taking taylor expansion of +nan.0 in re 2.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.911 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.911 * [taylor]: Taking taylor expansion of 2.0 in re 2.911 * [backup-simplify]: Simplify 2.0 into 2.0 2.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.912 * [taylor]: Taking taylor expansion of re in re 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.914 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.916 * [backup-simplify]: Simplify (- 0) into 0 2.917 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.919 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.921 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.922 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.922 * [backup-simplify]: Simplify (- 0) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.926 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.928 * [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)))) 2.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.933 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.933 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.934 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.934 * [taylor]: Taking taylor expansion of +nan.0 in re 2.934 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.934 * [taylor]: Taking taylor expansion of 2.0 in re 2.934 * [backup-simplify]: Simplify 2.0 into 2.0 2.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.935 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.935 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.935 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.935 * [taylor]: Taking taylor expansion of +nan.0 in re 2.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.935 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.935 * [taylor]: Taking taylor expansion of 2.0 in re 2.935 * [backup-simplify]: Simplify 2.0 into 2.0 2.936 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.936 * [taylor]: Taking taylor expansion of re in re 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (* 1 1) into 1 2.938 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.938 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.938 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.938 * [taylor]: Taking taylor expansion of +nan.0 in re 2.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.938 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.938 * [taylor]: Taking taylor expansion of 2.0 in re 2.938 * [backup-simplify]: Simplify 2.0 into 2.0 2.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.939 * [taylor]: Taking taylor expansion of re in re 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.941 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (- 0) into 0 2.951 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.953 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.954 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.958 * [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) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 2.959 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.959 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 2.959 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.959 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.959 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.959 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.959 * [taylor]: Taking taylor expansion of re in im 2.959 * [backup-simplify]: Simplify re into re 2.959 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.959 * [taylor]: Taking taylor expansion of im in im 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.959 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.960 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.960 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.960 * [taylor]: Taking taylor expansion of re in im 2.960 * [backup-simplify]: Simplify re into re 2.960 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.960 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.960 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.960 * [taylor]: Taking taylor expansion of re in re 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.961 * [taylor]: Taking taylor expansion of im in re 2.961 * [backup-simplify]: Simplify im into im 2.961 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.961 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.961 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.961 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.962 * [taylor]: Taking taylor expansion of re in re 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.962 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.962 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.962 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.962 * [taylor]: Taking taylor expansion of re in re 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.962 * [taylor]: Taking taylor expansion of im in re 2.962 * [backup-simplify]: Simplify im into im 2.962 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.962 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.962 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.962 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.963 * [taylor]: Taking taylor expansion of re in re 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ im 0) into im 2.963 * [taylor]: Taking taylor expansion of im in im 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (- 1) into -1 2.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.964 * [taylor]: Taking taylor expansion of -1 in im 2.964 * [backup-simplify]: Simplify -1 into -1 2.964 * [backup-simplify]: Simplify -1 into -1 2.964 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* 1 1) into 1 2.965 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.966 * [backup-simplify]: Simplify (+ 1 0) into 1 2.966 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.967 * [backup-simplify]: Simplify (- 0) into 0 2.967 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.967 * [taylor]: Taking taylor expansion of 1/2 in im 2.967 * [backup-simplify]: Simplify 1/2 into 1/2 2.967 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.967 * [taylor]: Taking taylor expansion of im in im 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.970 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [taylor]: Taking taylor expansion of 0 in im 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.974 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.974 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.974 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.974 * [taylor]: Taking taylor expansion of im in im 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.975 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.975 * [taylor]: Taking taylor expansion of re in im 2.975 * [backup-simplify]: Simplify re into re 2.975 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.975 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.975 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [backup-simplify]: Simplify (sqrt 1) into 1 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.978 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 2.978 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.978 * [taylor]: Taking taylor expansion of im in re 2.978 * [backup-simplify]: Simplify im into im 2.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.979 * [taylor]: Taking taylor expansion of re in re 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* 1 1) into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [backup-simplify]: Simplify (+ 0 1) into 1 2.980 * [backup-simplify]: Simplify (sqrt 1) into 1 2.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.982 * [taylor]: Taking taylor expansion of re in re 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (/ 1 1) into 1 2.983 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.983 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.983 * [taylor]: Taking taylor expansion of im in re 2.983 * [backup-simplify]: Simplify im into im 2.983 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.983 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.983 * [taylor]: Taking taylor expansion of re in re 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [backup-simplify]: Simplify (+ 0 1) into 1 2.985 * [backup-simplify]: Simplify (sqrt 1) into 1 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.987 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.987 * [taylor]: Taking taylor expansion of re in re 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (/ 1 1) into 1 2.988 * [backup-simplify]: Simplify (- 1) into -1 2.988 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.988 * [taylor]: Taking taylor expansion of 0 in im 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [taylor]: Taking taylor expansion of 0 in im 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.994 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.995 * [taylor]: Taking taylor expansion of 1/2 in im 2.995 * [backup-simplify]: Simplify 1/2 into 1/2 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.995 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.995 * [taylor]: Taking taylor expansion of im in im 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (* 1 1) into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.010 * [backup-simplify]: Simplify (+ 0 0) into 0 3.010 * [taylor]: Taking taylor expansion of 0 in im 3.010 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.014 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.014 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.014 * [taylor]: Taking taylor expansion of re in im 3.014 * [backup-simplify]: Simplify re into re 3.014 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.014 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.014 * [taylor]: Taking taylor expansion of im in im 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (* 1 1) into 1 3.015 * [backup-simplify]: Simplify (/ 1 1) into 1 3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.015 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.015 * [taylor]: Taking taylor expansion of re in im 3.015 * [backup-simplify]: Simplify re into re 3.015 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.016 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.016 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (sqrt 1) into 1 3.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.019 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.019 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.019 * [taylor]: Taking taylor expansion of re in re 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 1 into 1 3.020 * [backup-simplify]: Simplify (/ 1 1) into 1 3.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.020 * [taylor]: Taking taylor expansion of im in re 3.020 * [backup-simplify]: Simplify im into im 3.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.020 * [taylor]: Taking taylor expansion of re in re 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (* 1 1) into 1 3.021 * [backup-simplify]: Simplify (/ 1 1) into 1 3.021 * [backup-simplify]: Simplify (+ 0 1) into 1 3.022 * [backup-simplify]: Simplify (sqrt 1) into 1 3.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.024 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.024 * [taylor]: Taking taylor expansion of re in re 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.024 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.024 * [taylor]: Taking taylor expansion of im in re 3.024 * [backup-simplify]: Simplify im into im 3.025 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.025 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.025 * [taylor]: Taking taylor expansion of re in re 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (* 1 1) into 1 3.026 * [backup-simplify]: Simplify (/ 1 1) into 1 3.026 * [backup-simplify]: Simplify (+ 0 1) into 1 3.026 * [backup-simplify]: Simplify (sqrt 1) into 1 3.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ 0 0) into 0 3.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.029 * [backup-simplify]: Simplify (+ 1 1) into 2 3.029 * [taylor]: Taking taylor expansion of 2 in im 3.029 * [backup-simplify]: Simplify 2 into 2 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [taylor]: Taking taylor expansion of 0 in im 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 2 into 2 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.034 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.034 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.034 * [taylor]: Taking taylor expansion of 1/2 in im 3.034 * [backup-simplify]: Simplify 1/2 into 1/2 3.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.034 * [taylor]: Taking taylor expansion of im in im 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.035 * [backup-simplify]: Simplify (* 1 1) into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [taylor]: Taking taylor expansion of 0 in im 3.042 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.045 * * * [progress]: simplifying candidates 3.048 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (+ (* im im) 0)))) (exp (sqrt (* 2.0 (+ (* im im) 0)))) (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt 2.0) (sqrt (+ (* im im) 0)) (sqrt (* 2.0 (+ (pow (* im im) 3) (pow 0 3)))) (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))) (sqrt (* 2.0 (- (* (* im im) (* im im)) (* 0 0)))) (sqrt (- (* im im) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (- (log (sqrt (* 2.0 (+ (* im im) 0)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (log (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0)))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (- (sqrt (* 2.0 (+ (* im im) 0)))) (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt 1)) (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im 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(* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (* -1 re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* -1 (* (sqrt 2.0) im)) (- (+ (* +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))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 3.056 * * [simplify]: Extracting # 0 : cost 0 3.056 * * [simplify]: Extracting # 1 : cost 0 3.056 * * [simplify]: Extracting # 2 : cost 0 3.057 * * [simplify]: Extracting # 3 : cost 0 3.057 * * [simplify]: Extracting # 4 : cost 0 3.058 * * [simplify]: Extracting # 5 : cost 0 3.058 * * [simplify]: Extracting # 6 : cost 0 3.059 * * [simplify]: Extracting # 7 : cost 0 3.059 * * [simplify]: Extracting # 8 : cost 0 3.060 * * [simplify]: Extracting # 9 : cost 0 3.060 * * [simplify]: Extracting # 10 : cost 0 3.060 * * [simplify]: Extracting # 11 : cost 0 3.061 * * [simplify]: Extracting # 12 : cost 0 3.061 * * [simplify]: Extracting # 13 : cost 0 3.069 * * [simplify]: Extracting # 14 : cost 0 3.070 * * [simplify]: Extracting # 15 : cost 0 3.070 * * [simplify]: iteration 0 : 212 enodes (cost 2952 ) 3.157 * * [simplify]: Extracting # 0 : cost 0 3.158 * * [simplify]: Extracting # 1 : cost 0 3.159 * * [simplify]: Extracting # 2 : cost 0 3.160 * * [simplify]: Extracting # 3 : cost 0 3.161 * * [simplify]: Extracting # 4 : cost 0 3.162 * * [simplify]: iteration 1 : 472 enodes (cost 2509 ) 3.529 * * [simplify]: Extracting # 0 : cost 0 3.533 * * [simplify]: Extracting # 1 : cost 0 3.538 * * [simplify]: Extracting # 2 : cost 0 3.543 * * [simplify]: Extracting # 3 : cost 0 3.547 * * [simplify]: Extracting # 4 : cost 0 3.552 * * [simplify]: iteration 2 : 2195 enodes (cost 2366 ) 4.621 * * [simplify]: Extracting # 0 : cost 0 4.644 * * [simplify]: Extracting # 1 : cost 0 4.655 * * [simplify]: Extracting # 2 : cost 0 4.666 * * [simplify]: Extracting # 3 : cost 0 4.676 * * [simplify]: Extracting # 4 : cost 0 4.687 * * [simplify]: iteration done: 5000 enodes (cost 2346 ) 4.689 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re 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re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (- re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (- (* (sqrt 2.0) im)) (+ (* +nan.0 (- (* (sqrt 2.0) (* (sqrt 2) re)) (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))))) (+ (* +nan.0 (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2)))) (- (* +nan.0 (sqrt 2.0)))) (+ (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) 4.690 * * * [progress]: adding candidates to table 5.540 * * [progress]: iteration 3 / 4 5.540 * * * [progress]: picking best candidate 5.593 * * * * [pick]: Picked # 5.593 * * * [progress]: localizing error 5.636 * * * [progress]: generating rewritten candidates 5.636 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 5.652 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.679 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.773 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 5.855 * * * [progress]: generating series expansions 5.855 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.855 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.855 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.856 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.856 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.856 * [taylor]: Taking taylor expansion of re in im 5.856 * [backup-simplify]: Simplify re into re 5.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.856 * [taylor]: Taking taylor expansion of im in im 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.856 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.856 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.856 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.857 * [backup-simplify]: Simplify (+ 0 0) into 0 5.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.857 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.857 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.857 * [taylor]: Taking taylor expansion of re in re 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.857 * [taylor]: Taking taylor expansion of im in re 5.857 * [backup-simplify]: Simplify im into im 5.857 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.858 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.858 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.858 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.858 * [backup-simplify]: Simplify (+ 0 0) into 0 5.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.858 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.858 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.859 * [taylor]: Taking taylor expansion of re in re 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.859 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.859 * [taylor]: Taking taylor expansion of im in re 5.859 * [backup-simplify]: Simplify im into im 5.859 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.859 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.859 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.859 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.860 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.860 * [taylor]: Taking taylor expansion of im in im 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [taylor]: Taking taylor expansion of 0 in im 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (* 1 1) into 1 5.861 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.861 * [backup-simplify]: Simplify (+ 1 0) into 1 5.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.862 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.862 * [taylor]: Taking taylor expansion of 1/2 in im 5.862 * [backup-simplify]: Simplify 1/2 into 1/2 5.862 * [taylor]: Taking taylor expansion of im in im 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.865 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.865 * [backup-simplify]: Simplify (+ 0 0) into 0 5.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.865 * [taylor]: Taking taylor expansion of 0 in im 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.867 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.867 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.867 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.867 * [taylor]: Taking taylor expansion of im in im 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify 1 into 1 5.867 * [backup-simplify]: Simplify (* 1 1) into 1 5.868 * [backup-simplify]: Simplify (/ 1 1) into 1 5.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.868 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.868 * [taylor]: Taking taylor expansion of re in im 5.868 * [backup-simplify]: Simplify re into re 5.868 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.868 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.869 * [backup-simplify]: Simplify (+ 1 0) into 1 5.869 * [backup-simplify]: Simplify (sqrt 1) into 1 5.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.870 * [backup-simplify]: Simplify (+ 0 0) into 0 5.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.871 * [taylor]: Taking taylor expansion of im in re 5.871 * [backup-simplify]: Simplify im into im 5.871 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.872 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.872 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.872 * [taylor]: Taking taylor expansion of re in re 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify 1 into 1 5.872 * [backup-simplify]: Simplify (* 1 1) into 1 5.872 * [backup-simplify]: Simplify (/ 1 1) into 1 5.873 * [backup-simplify]: Simplify (+ 0 1) into 1 5.873 * [backup-simplify]: Simplify (sqrt 1) into 1 5.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.875 * [taylor]: Taking taylor expansion of im in re 5.875 * [backup-simplify]: Simplify im into im 5.876 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.876 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.876 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.876 * [taylor]: Taking taylor expansion of re in re 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (/ 1 1) into 1 5.877 * [backup-simplify]: Simplify (+ 0 1) into 1 5.877 * [backup-simplify]: Simplify (sqrt 1) into 1 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify (+ 0 0) into 0 5.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.880 * [taylor]: Taking taylor expansion of 1 in im 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [taylor]: Taking taylor expansion of 0 in im 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.883 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.883 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.883 * [taylor]: Taking taylor expansion of 1/2 in im 5.883 * [backup-simplify]: Simplify 1/2 into 1/2 5.883 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.883 * [taylor]: Taking taylor expansion of im in im 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (* 1 1) into 1 5.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (+ 0 0) into 0 5.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.889 * [taylor]: Taking taylor expansion of 0 in im 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.891 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.891 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.891 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.891 * [taylor]: Taking taylor expansion of im in im 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 1 into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.892 * [backup-simplify]: Simplify (/ 1 1) into 1 5.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.892 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.892 * [taylor]: Taking taylor expansion of re in im 5.892 * [backup-simplify]: Simplify re into re 5.892 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.892 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.893 * [backup-simplify]: Simplify (+ 1 0) into 1 5.893 * [backup-simplify]: Simplify (sqrt 1) into 1 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.895 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.895 * [taylor]: Taking taylor expansion of im in re 5.895 * [backup-simplify]: Simplify im into im 5.895 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.896 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.896 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.896 * [taylor]: Taking taylor expansion of re in re 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [backup-simplify]: Simplify (* 1 1) into 1 5.896 * [backup-simplify]: Simplify (/ 1 1) into 1 5.897 * [backup-simplify]: Simplify (+ 0 1) into 1 5.897 * [backup-simplify]: Simplify (sqrt 1) into 1 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify (+ 0 0) into 0 5.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.900 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.900 * [taylor]: Taking taylor expansion of im in re 5.900 * [backup-simplify]: Simplify im into im 5.900 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.900 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.900 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.900 * [taylor]: Taking taylor expansion of re in re 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (* 1 1) into 1 5.901 * [backup-simplify]: Simplify (/ 1 1) into 1 5.901 * [backup-simplify]: Simplify (+ 0 1) into 1 5.902 * [backup-simplify]: Simplify (sqrt 1) into 1 5.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.903 * [backup-simplify]: Simplify (+ 0 0) into 0 5.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.904 * [taylor]: Taking taylor expansion of 1 in im 5.904 * [backup-simplify]: Simplify 1 into 1 5.904 * [taylor]: Taking taylor expansion of 0 in im 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.906 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.908 * [taylor]: Taking taylor expansion of 1/2 in im 5.908 * [backup-simplify]: Simplify 1/2 into 1/2 5.908 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.908 * [taylor]: Taking taylor expansion of im in im 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 1 into 1 5.908 * [backup-simplify]: Simplify (* 1 1) into 1 5.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.912 * [backup-simplify]: Simplify (+ 0 0) into 0 5.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.913 * [taylor]: Taking taylor expansion of 0 in im 5.913 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.915 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.915 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs im)) into (* (fabs im) (sqrt 2.0)) 5.915 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in (im) around 0 5.915 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 5.915 * [taylor]: Taking taylor expansion of (fabs im) in im 5.916 * [backup-simplify]: Simplify (fabs im) into (fabs im) 5.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.916 * [taylor]: Taking taylor expansion of 2.0 in im 5.916 * [backup-simplify]: Simplify 2.0 into 2.0 5.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.922 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 5.922 * [taylor]: Taking taylor expansion of (fabs im) in im 5.922 * [backup-simplify]: Simplify (fabs im) into (fabs im) 5.922 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.922 * [taylor]: Taking taylor expansion of 2.0 in im 5.922 * [backup-simplify]: Simplify 2.0 into 2.0 5.923 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.924 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 5.924 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 5.925 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.926 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.928 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.931 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.933 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.935 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 5.936 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (fabs (/ 1 im)) (sqrt 2.0)) 5.936 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in (im) around 0 5.936 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 5.937 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 5.937 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 5.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.937 * [taylor]: Taking taylor expansion of 2.0 in im 5.937 * [backup-simplify]: Simplify 2.0 into 2.0 5.937 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.938 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 5.938 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 5.938 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 5.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.938 * [taylor]: Taking taylor expansion of 2.0 in im 5.938 * [backup-simplify]: Simplify 2.0 into 2.0 5.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.939 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 5.940 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 5.940 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.944 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.944 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.946 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.949 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.951 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 5.951 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.953 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 5.954 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 (- im)))) into (* (sqrt 2.0) (fabs (/ -1 im))) 5.954 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in (im) around 0 5.955 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 5.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.955 * [taylor]: Taking taylor expansion of 2.0 in im 5.955 * [backup-simplify]: Simplify 2.0 into 2.0 5.955 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.956 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 5.956 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 5.956 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 5.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.956 * [taylor]: Taking taylor expansion of 2.0 in im 5.956 * [backup-simplify]: Simplify 2.0 into 2.0 5.956 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.957 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 5.957 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 5.957 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 5.958 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 5.959 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.961 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 5.961 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.964 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 5.964 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.968 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))) into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.972 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))))) into 0 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.976 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))))) into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))) into (* (fabs im) (sqrt 2.0)) 5.977 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.978 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) 5.978 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 5.978 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 5.978 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 5.978 * [taylor]: Taking taylor expansion of (fabs im) in re 5.978 * [backup-simplify]: Simplify (fabs im) into (fabs im) 5.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.978 * [taylor]: Taking taylor expansion of 2.0 in re 5.978 * [backup-simplify]: Simplify 2.0 into 2.0 5.979 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.980 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 5.980 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 5.980 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 5.980 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.980 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.980 * [taylor]: Taking taylor expansion of re in re 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 1 into 1 5.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.980 * [taylor]: Taking taylor expansion of im in re 5.980 * [backup-simplify]: Simplify im into im 5.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.981 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.981 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.981 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.981 * [backup-simplify]: Simplify (+ 0 0) into 0 5.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.981 * [taylor]: Taking taylor expansion of re in re 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify 1 into 1 5.982 * [backup-simplify]: Simplify (- 0) into 0 5.982 * [backup-simplify]: Simplify (+ im 0) into im 5.982 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.982 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 5.982 * [backup-simplify]: Simplify (- 1) into -1 5.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 5.983 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 5.983 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 5.983 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 5.983 * [taylor]: Taking taylor expansion of (fabs im) in im 5.983 * [backup-simplify]: Simplify (fabs im) into (fabs im) 5.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.983 * [taylor]: Taking taylor expansion of 2.0 in im 5.983 * [backup-simplify]: Simplify 2.0 into 2.0 5.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 5.984 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 5.984 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 5.985 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.985 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.985 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.985 * [taylor]: Taking taylor expansion of re in im 5.985 * [backup-simplify]: Simplify re into re 5.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.985 * [taylor]: Taking taylor expansion of im in im 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.985 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.985 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.985 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.986 * [backup-simplify]: Simplify (+ 0 0) into 0 5.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.986 * [taylor]: Taking taylor expansion of re in im 5.986 * [backup-simplify]: Simplify re into re 5.986 * [backup-simplify]: Simplify (- re) into (- re) 5.986 * [backup-simplify]: Simplify (+ re (- re)) into 0 5.986 * [backup-simplify]: Simplify (- 0) into 0 5.987 * [backup-simplify]: Simplify (+ 0 0) into 0 5.987 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.987 * [backup-simplify]: Simplify (* 1 1) into 1 5.988 * [backup-simplify]: Simplify (+ 0 1) into 1 5.988 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 5.989 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 5.989 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 5.990 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 5.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.991 * [backup-simplify]: Simplify (+ 0 0) into 0 5.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 5.991 * [backup-simplify]: Simplify (- 0) into 0 5.991 * [backup-simplify]: Simplify (+ 0 0) into 0 5.991 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 5.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 5.991 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 5.991 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 5.991 * [taylor]: Taking taylor expansion of (fabs im) in im 5.991 * [backup-simplify]: Simplify (fabs im) into (fabs im) 5.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.992 * [taylor]: Taking taylor expansion of 2.0 in im 5.992 * [backup-simplify]: Simplify 2.0 into 2.0 5.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 5.992 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 5.992 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 5.992 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.992 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.992 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.992 * [taylor]: Taking taylor expansion of re in im 5.992 * [backup-simplify]: Simplify re into re 5.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.992 * [taylor]: Taking taylor expansion of im in im 5.992 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.993 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.993 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.993 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.994 * [backup-simplify]: Simplify (+ 0 0) into 0 5.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.994 * [taylor]: Taking taylor expansion of re in im 5.994 * [backup-simplify]: Simplify re into re 5.994 * [backup-simplify]: Simplify (- re) into (- re) 5.994 * [backup-simplify]: Simplify (+ re (- re)) into 0 5.995 * [backup-simplify]: Simplify (- 0) into 0 5.996 * [backup-simplify]: Simplify (+ 0 0) into 0 5.996 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.997 * [backup-simplify]: Simplify (* 1 1) into 1 5.998 * [backup-simplify]: Simplify (+ 0 1) into 1 5.999 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.000 * [backup-simplify]: Simplify (- 0) into 0 6.000 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.001 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 6.001 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 6.002 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.004 * [backup-simplify]: Simplify (+ 0 0) into 0 6.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 6.004 * [backup-simplify]: Simplify (- 0) into 0 6.005 * [backup-simplify]: Simplify (+ 0 0) into 0 6.005 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 6.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 6.005 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 6.006 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) 6.006 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) in re 6.006 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 2))) in re 6.006 * [taylor]: Taking taylor expansion of (fabs im) in re 6.006 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.006 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 6.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.006 * [taylor]: Taking taylor expansion of 2.0 in re 6.006 * [backup-simplify]: Simplify 2.0 into 2.0 6.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.008 * [taylor]: Taking taylor expansion of (sqrt 2) in re 6.008 * [taylor]: Taking taylor expansion of 2 in re 6.008 * [backup-simplify]: Simplify 2 into 2 6.008 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.009 * [taylor]: Taking taylor expansion of (sqrt re) in re 6.009 * [taylor]: Taking taylor expansion of re in re 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (sqrt 0) into 0 6.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.012 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 6.013 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 6.014 * [backup-simplify]: Simplify (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 0) into 0 6.014 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 6.015 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0 6.016 * [taylor]: Taking taylor expansion of 0 in re 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 6.017 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 2)))) into 0 6.019 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.020 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.021 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.022 * [backup-simplify]: Simplify (+ 0 0) into 0 6.023 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 6.024 * [backup-simplify]: Simplify (- 0) into 0 6.024 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 6.024 * [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)) 6.025 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))) 6.026 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.027 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.029 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 6.030 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 6.030 * [taylor]: Taking taylor expansion of 1/4 in re 6.030 * [backup-simplify]: Simplify 1/4 into 1/4 6.030 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 6.030 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) in re 6.030 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 6.030 * [taylor]: Taking taylor expansion of (fabs im) in re 6.030 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.030 * [taylor]: Taking taylor expansion of 2.0 in re 6.030 * [backup-simplify]: Simplify 2.0 into 2.0 6.030 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.031 * [taylor]: Taking taylor expansion of (sqrt 2) in re 6.031 * [taylor]: Taking taylor expansion of 2 in re 6.031 * [backup-simplify]: Simplify 2 into 2 6.031 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.032 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 6.033 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 6.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 6.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 6.033 * [taylor]: Taking taylor expansion of (pow re 3) in re 6.033 * [taylor]: Taking taylor expansion of re in re 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.034 * [backup-simplify]: Simplify (/ 1 1) into 1 6.035 * [backup-simplify]: Simplify (sqrt 0) into 0 6.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.041 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.041 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 6.043 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.045 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.048 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.050 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.051 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.052 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 0) into 0 6.054 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.055 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.055 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.061 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.062 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 2))))) into 0 6.064 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.066 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.078 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))))) 6.079 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 6.079 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 6.079 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 6.079 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.079 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.079 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.079 * [taylor]: Taking taylor expansion of 2.0 in re 6.079 * [backup-simplify]: Simplify 2.0 into 2.0 6.080 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 6.080 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 6.080 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.081 * [taylor]: Taking taylor expansion of im in re 6.081 * [backup-simplify]: Simplify im into im 6.081 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.081 * [taylor]: Taking taylor expansion of re in re 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (* 1 1) into 1 6.082 * [backup-simplify]: Simplify (/ 1 1) into 1 6.082 * [backup-simplify]: Simplify (+ 0 1) into 1 6.083 * [backup-simplify]: Simplify (sqrt 1) into 1 6.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.084 * [backup-simplify]: Simplify (+ 0 0) into 0 6.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.085 * [taylor]: Taking taylor expansion of re in re 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.086 * [backup-simplify]: Simplify (- 1) into -1 6.086 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (- 0) into 0 6.087 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.090 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (- 0) into 0 6.092 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.092 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 6.092 * [backup-simplify]: Simplify (sqrt 0) into 0 6.093 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 6.093 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 6.093 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 6.093 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 6.093 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.093 * [taylor]: Taking taylor expansion of 2.0 in im 6.093 * [backup-simplify]: Simplify 2.0 into 2.0 6.094 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 6.094 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.094 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.094 * [taylor]: Taking taylor expansion of im in im 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (* 1 1) into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.095 * [taylor]: Taking taylor expansion of re in im 6.095 * [backup-simplify]: Simplify re into re 6.095 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.096 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.096 * [backup-simplify]: Simplify (+ 1 0) into 1 6.096 * [backup-simplify]: Simplify (sqrt 1) into 1 6.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.098 * [backup-simplify]: Simplify (+ 0 0) into 0 6.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.099 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.099 * [taylor]: Taking taylor expansion of re in im 6.099 * [backup-simplify]: Simplify re into re 6.099 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.099 * [backup-simplify]: Simplify (+ 1 0) into 1 6.100 * [backup-simplify]: Simplify (/ 1 1) into 1 6.100 * [backup-simplify]: Simplify (sqrt 0) into 0 6.101 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.101 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 6.101 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 6.101 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 6.102 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.102 * [taylor]: Taking taylor expansion of 2.0 in im 6.102 * [backup-simplify]: Simplify 2.0 into 2.0 6.102 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 6.103 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.103 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.103 * [taylor]: Taking taylor expansion of im in im 6.103 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify (* 1 1) into 1 6.104 * [backup-simplify]: Simplify (/ 1 1) into 1 6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.104 * [taylor]: Taking taylor expansion of re in im 6.104 * [backup-simplify]: Simplify re into re 6.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.104 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.104 * [backup-simplify]: Simplify (+ 1 0) into 1 6.105 * [backup-simplify]: Simplify (sqrt 1) into 1 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.107 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.107 * [taylor]: Taking taylor expansion of re in im 6.107 * [backup-simplify]: Simplify re into re 6.107 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.108 * [backup-simplify]: Simplify (+ 1 0) into 1 6.108 * [backup-simplify]: Simplify (/ 1 1) into 1 6.108 * [backup-simplify]: Simplify (sqrt 0) into 0 6.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.110 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.110 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0 6.110 * [taylor]: Taking taylor expansion of 0 in re 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 6.112 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.112 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 6.112 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 6.112 * [taylor]: Taking taylor expansion of +nan.0 in re 6.112 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.112 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.112 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.112 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.112 * [taylor]: Taking taylor expansion of 2.0 in re 6.112 * [backup-simplify]: Simplify 2.0 into 2.0 6.113 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 6.114 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 6.115 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 6.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.117 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.118 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) 6.118 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 6.118 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 6.118 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 6.118 * [taylor]: Taking taylor expansion of +nan.0 in re 6.118 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.118 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.118 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.118 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.118 * [taylor]: Taking taylor expansion of 2.0 in re 6.118 * [backup-simplify]: Simplify 2.0 into 2.0 6.119 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.119 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 6.120 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 6.120 * [taylor]: Taking taylor expansion of +nan.0 in re 6.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.120 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 6.120 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.120 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.120 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.120 * [taylor]: Taking taylor expansion of 2.0 in re 6.120 * [backup-simplify]: Simplify 2.0 into 2.0 6.120 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.121 * [taylor]: Taking taylor expansion of re in re 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.122 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.122 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 6.123 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.123 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.124 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.124 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.125 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.125 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 6.126 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.126 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.130 * [backup-simplify]: Simplify (- 0) into 0 6.130 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.131 * [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)))) 6.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.133 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.136 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (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 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) 6.136 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 6.136 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 6.136 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 6.136 * [taylor]: Taking taylor expansion of +nan.0 in re 6.136 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.136 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.136 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.136 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.136 * [taylor]: Taking taylor expansion of 2.0 in re 6.136 * [backup-simplify]: Simplify 2.0 into 2.0 6.136 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.137 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 6.137 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 6.137 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 6.137 * [taylor]: Taking taylor expansion of +nan.0 in re 6.137 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.137 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 6.137 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.137 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.137 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.137 * [taylor]: Taking taylor expansion of 2.0 in re 6.137 * [backup-simplify]: Simplify 2.0 into 2.0 6.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.139 * [taylor]: Taking taylor expansion of re in re 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.139 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.139 * [backup-simplify]: Simplify (* 1 1) into 1 6.140 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.140 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 6.140 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 6.140 * [taylor]: Taking taylor expansion of +nan.0 in re 6.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.140 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 6.140 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.140 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.140 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.140 * [taylor]: Taking taylor expansion of 2.0 in re 6.140 * [backup-simplify]: Simplify 2.0 into 2.0 6.141 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.141 * [taylor]: Taking taylor expansion of re in re 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 1 into 1 6.142 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.142 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.143 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 6.145 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 6.146 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 6.146 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.147 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.147 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.148 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.148 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.149 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.152 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) 6.153 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 (- im)))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 6.153 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 6.153 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 6.153 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.153 * [taylor]: Taking taylor expansion of 2.0 in re 6.153 * [backup-simplify]: Simplify 2.0 into 2.0 6.153 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.154 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.154 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 6.154 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.154 * [taylor]: Taking taylor expansion of re in re 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (/ 1 1) into 1 6.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.155 * [taylor]: Taking taylor expansion of im in re 6.155 * [backup-simplify]: Simplify im into im 6.155 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.155 * [taylor]: Taking taylor expansion of re in re 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (* 1 1) into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.156 * [backup-simplify]: Simplify (+ 0 1) into 1 6.157 * [backup-simplify]: Simplify (sqrt 1) into 1 6.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.159 * [backup-simplify]: Simplify (+ 1 1) into 2 6.160 * [backup-simplify]: Simplify (/ 1 2) into 1/2 6.160 * [backup-simplify]: Simplify (sqrt 0) into 0 6.161 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 6.161 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 6.161 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 6.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.161 * [taylor]: Taking taylor expansion of 2.0 in im 6.161 * [backup-simplify]: Simplify 2.0 into 2.0 6.162 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.162 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 6.162 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 6.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.163 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.163 * [taylor]: Taking taylor expansion of re in im 6.163 * [backup-simplify]: Simplify re into re 6.163 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.163 * [taylor]: Taking taylor expansion of im in im 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [backup-simplify]: Simplify (* 1 1) into 1 6.164 * [backup-simplify]: Simplify (/ 1 1) into 1 6.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.164 * [taylor]: Taking taylor expansion of re in im 6.164 * [backup-simplify]: Simplify re into re 6.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.164 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.165 * [backup-simplify]: Simplify (+ 1 0) into 1 6.165 * [backup-simplify]: Simplify (sqrt 1) into 1 6.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ 0 0) into 0 6.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.168 * [backup-simplify]: Simplify (+ 0 1) into 1 6.168 * [backup-simplify]: Simplify (/ 1 1) into 1 6.168 * [backup-simplify]: Simplify (sqrt 0) into 0 6.170 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.170 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 6.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 6.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.170 * [taylor]: Taking taylor expansion of 2.0 in im 6.170 * [backup-simplify]: Simplify 2.0 into 2.0 6.170 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.171 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 6.171 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 6.171 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.171 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.171 * [taylor]: Taking taylor expansion of re in im 6.171 * [backup-simplify]: Simplify re into re 6.171 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.171 * [taylor]: Taking taylor expansion of im in im 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (* 1 1) into 1 6.172 * [backup-simplify]: Simplify (/ 1 1) into 1 6.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.172 * [taylor]: Taking taylor expansion of re in im 6.172 * [backup-simplify]: Simplify re into re 6.172 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.172 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.173 * [backup-simplify]: Simplify (+ 1 0) into 1 6.173 * [backup-simplify]: Simplify (sqrt 1) into 1 6.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (+ 0 0) into 0 6.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.176 * [backup-simplify]: Simplify (+ 0 1) into 1 6.176 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [backup-simplify]: Simplify (sqrt 0) into 0 6.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.178 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.179 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 6.179 * [taylor]: Taking taylor expansion of 0 in re 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.180 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.180 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 6.180 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 6.180 * [taylor]: Taking taylor expansion of +nan.0 in re 6.180 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.180 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.180 * [taylor]: Taking taylor expansion of 2.0 in re 6.180 * [backup-simplify]: Simplify 2.0 into 2.0 6.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.181 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.182 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.182 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.182 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 6.183 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.183 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.183 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 6.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 6.185 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 6.186 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.187 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.188 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) 6.188 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 6.188 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 6.188 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 6.189 * [taylor]: Taking taylor expansion of +nan.0 in re 6.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.189 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 6.189 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.189 * [taylor]: Taking taylor expansion of 2.0 in re 6.189 * [backup-simplify]: Simplify 2.0 into 2.0 6.189 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.190 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.190 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.190 * [taylor]: Taking taylor expansion of re in re 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.191 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.191 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 6.191 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 6.191 * [taylor]: Taking taylor expansion of +nan.0 in re 6.191 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.191 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.191 * [taylor]: Taking taylor expansion of 2.0 in re 6.191 * [backup-simplify]: Simplify 2.0 into 2.0 6.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.192 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.192 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.193 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 6.195 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 6.195 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.196 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 6.196 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.197 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.197 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.198 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.199 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.199 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 6.200 * [backup-simplify]: Simplify (- 0) into 0 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.202 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.203 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.203 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 6.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.205 * [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)))) 6.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.208 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 6.210 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +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) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) 6.210 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 6.210 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 6.210 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 6.210 * [taylor]: Taking taylor expansion of +nan.0 in re 6.210 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.210 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 6.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.211 * [taylor]: Taking taylor expansion of 2.0 in re 6.211 * [backup-simplify]: Simplify 2.0 into 2.0 6.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.212 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.212 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.212 * [taylor]: Taking taylor expansion of re in re 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 1 into 1 6.212 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.213 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.213 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 6.213 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 6.213 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 6.213 * [taylor]: Taking taylor expansion of +nan.0 in re 6.213 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.213 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 6.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.213 * [taylor]: Taking taylor expansion of 2.0 in re 6.213 * [backup-simplify]: Simplify 2.0 into 2.0 6.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.222 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.222 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.222 * [taylor]: Taking taylor expansion of re in re 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.223 * [backup-simplify]: Simplify (* 1 1) into 1 6.223 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.224 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 6.224 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 6.224 * [taylor]: Taking taylor expansion of +nan.0 in re 6.224 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.224 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.224 * [taylor]: Taking taylor expansion of 2.0 in re 6.224 * [backup-simplify]: Simplify 2.0 into 2.0 6.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.225 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.225 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.226 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 6.229 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.230 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.231 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.236 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0 6.237 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.237 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 6.238 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.238 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.239 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.240 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.241 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.241 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.245 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) 6.245 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 6.245 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 6.245 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 6.245 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.245 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.245 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.245 * [taylor]: Taking taylor expansion of re in im 6.245 * [backup-simplify]: Simplify re into re 6.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.246 * [taylor]: Taking taylor expansion of im in im 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.246 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.246 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.246 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.247 * [backup-simplify]: Simplify (+ 0 0) into 0 6.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.247 * [taylor]: Taking taylor expansion of re in im 6.247 * [backup-simplify]: Simplify re into re 6.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.247 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.247 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.247 * [taylor]: Taking taylor expansion of re in re 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 1 into 1 6.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.247 * [taylor]: Taking taylor expansion of im in re 6.247 * [backup-simplify]: Simplify im into im 6.247 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.248 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.248 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.248 * [taylor]: Taking taylor expansion of re in re 6.248 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.249 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.249 * [taylor]: Taking taylor expansion of re in re 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.249 * [taylor]: Taking taylor expansion of im in re 6.249 * [backup-simplify]: Simplify im into im 6.249 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.250 * [taylor]: Taking taylor expansion of re in re 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.251 * [backup-simplify]: Simplify (- 0) into 0 6.251 * [backup-simplify]: Simplify (+ im 0) into im 6.251 * [taylor]: Taking taylor expansion of im in im 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify (- 1) into -1 6.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.252 * [taylor]: Taking taylor expansion of -1 in im 6.252 * [backup-simplify]: Simplify -1 into -1 6.252 * [backup-simplify]: Simplify -1 into -1 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.253 * [backup-simplify]: Simplify (+ 1 0) into 1 6.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.254 * [backup-simplify]: Simplify (- 0) into 0 6.254 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 6.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.254 * [taylor]: Taking taylor expansion of 1/2 in im 6.254 * [backup-simplify]: Simplify 1/2 into 1/2 6.254 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.254 * [taylor]: Taking taylor expansion of im in im 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.255 * [backup-simplify]: Simplify (/ 1 1) into 1 6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.258 * [backup-simplify]: Simplify (+ 0 0) into 0 6.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.259 * [backup-simplify]: Simplify (- 0) into 0 6.259 * [backup-simplify]: Simplify (+ 0 0) into 0 6.259 * [taylor]: Taking taylor expansion of 0 in im 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 6.262 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 6.262 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 6.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.262 * [taylor]: Taking taylor expansion of im in im 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (* 1 1) into 1 6.263 * [backup-simplify]: Simplify (/ 1 1) into 1 6.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.263 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.263 * [taylor]: Taking taylor expansion of re in im 6.263 * [backup-simplify]: Simplify re into re 6.263 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.263 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.264 * [backup-simplify]: Simplify (+ 1 0) into 1 6.264 * [backup-simplify]: Simplify (sqrt 1) into 1 6.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 0) into 0 6.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.268 * [taylor]: Taking taylor expansion of re in im 6.268 * [backup-simplify]: Simplify re into re 6.268 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.268 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.269 * [taylor]: Taking taylor expansion of im in re 6.269 * [backup-simplify]: Simplify im into im 6.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.269 * [taylor]: Taking taylor expansion of re in re 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (* 1 1) into 1 6.270 * [backup-simplify]: Simplify (/ 1 1) into 1 6.271 * [backup-simplify]: Simplify (+ 0 1) into 1 6.271 * [backup-simplify]: Simplify (sqrt 1) into 1 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.274 * [backup-simplify]: Simplify (+ 0 0) into 0 6.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.274 * [taylor]: Taking taylor expansion of re in re 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (/ 1 1) into 1 6.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.275 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.275 * [taylor]: Taking taylor expansion of im in re 6.275 * [backup-simplify]: Simplify im into im 6.275 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.276 * [taylor]: Taking taylor expansion of re in re 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 1 into 1 6.276 * [backup-simplify]: Simplify (* 1 1) into 1 6.277 * [backup-simplify]: Simplify (/ 1 1) into 1 6.277 * [backup-simplify]: Simplify (+ 0 1) into 1 6.278 * [backup-simplify]: Simplify (sqrt 1) into 1 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.280 * [backup-simplify]: Simplify (+ 0 0) into 0 6.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.281 * [taylor]: Taking taylor expansion of re in re 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (/ 1 1) into 1 6.282 * [backup-simplify]: Simplify (- 1) into -1 6.282 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.282 * [taylor]: Taking taylor expansion of 0 in im 6.282 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (- 0) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [taylor]: Taking taylor expansion of 0 in im 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.287 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.289 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (- 0) into 0 6.290 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.290 * [taylor]: Taking taylor expansion of 1/2 in im 6.290 * [backup-simplify]: Simplify 1/2 into 1/2 6.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.291 * [taylor]: Taking taylor expansion of im in im 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify (* 1 1) into 1 6.291 * [backup-simplify]: Simplify (/ 1 1) into 1 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (+ 0 0) into 0 6.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (- 0) into 0 6.299 * [backup-simplify]: Simplify (+ 0 0) into 0 6.299 * [taylor]: Taking taylor expansion of 0 in im 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 6.302 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 6.302 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.302 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.302 * [taylor]: Taking taylor expansion of re in im 6.302 * [backup-simplify]: Simplify re into re 6.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.302 * [taylor]: Taking taylor expansion of im in im 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.303 * [backup-simplify]: Simplify (* 1 1) into 1 6.303 * [backup-simplify]: Simplify (/ 1 1) into 1 6.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.303 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.303 * [taylor]: Taking taylor expansion of re in im 6.303 * [backup-simplify]: Simplify re into re 6.303 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.303 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.304 * [backup-simplify]: Simplify (+ 1 0) into 1 6.304 * [backup-simplify]: Simplify (sqrt 1) into 1 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.307 * [taylor]: Taking taylor expansion of re in re 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (/ 1 1) into 1 6.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.307 * [taylor]: Taking taylor expansion of im in re 6.307 * [backup-simplify]: Simplify im into im 6.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.308 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.308 * [taylor]: Taking taylor expansion of re in re 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [backup-simplify]: Simplify (* 1 1) into 1 6.308 * [backup-simplify]: Simplify (/ 1 1) into 1 6.309 * [backup-simplify]: Simplify (+ 0 1) into 1 6.309 * [backup-simplify]: Simplify (sqrt 1) into 1 6.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.312 * [taylor]: Taking taylor expansion of re in re 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (/ 1 1) into 1 6.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.313 * [taylor]: Taking taylor expansion of im in re 6.313 * [backup-simplify]: Simplify im into im 6.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.313 * [taylor]: Taking taylor expansion of re in re 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [backup-simplify]: Simplify (+ 0 1) into 1 6.316 * [backup-simplify]: Simplify (sqrt 1) into 1 6.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.319 * [backup-simplify]: Simplify (+ 1 1) into 2 6.319 * [taylor]: Taking taylor expansion of 2 in im 6.319 * [backup-simplify]: Simplify 2 into 2 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.320 * [taylor]: Taking taylor expansion of 0 in im 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 2 into 2 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.324 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.324 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.324 * [taylor]: Taking taylor expansion of 1/2 in im 6.324 * [backup-simplify]: Simplify 1/2 into 1/2 6.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.325 * [taylor]: Taking taylor expansion of im in im 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify (* 1 1) into 1 6.326 * [backup-simplify]: Simplify (/ 1 1) into 1 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.333 * [backup-simplify]: Simplify (+ 0 0) into 0 6.333 * [taylor]: Taking taylor expansion of 0 in im 6.333 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 6.336 * * * [progress]: simplifying candidates 6.338 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt 2.0) (fabs im)) (+ (log (sqrt 2.0)) (log (fabs im))) (log (* (sqrt 2.0) (fabs im))) (exp (* (sqrt 2.0) (fabs im))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (fabs im) (fabs im)) (fabs im))) (* (cbrt (* (sqrt 2.0) (fabs im))) (cbrt (* (sqrt 2.0) (fabs im)))) (cbrt (* (sqrt 2.0) (fabs im))) (* (* (* (sqrt 2.0) (fabs im)) (* (sqrt 2.0) (fabs im))) (* (sqrt 2.0) (fabs im))) (sqrt (* (sqrt 2.0) (fabs im))) (sqrt (* (sqrt 2.0) (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (sqrt (fabs im))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (fabs im)) (* (sqrt (cbrt 2.0)) (fabs im)) (* (sqrt (sqrt 2.0)) (fabs im)) (* (sqrt 2.0) (fabs im)) (* (sqrt (sqrt 2.0)) (fabs im)) (* (sqrt 2.0) (fabs im)) (- (+ (log (sqrt 2.0)) (log (fabs im))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (- (log (* (sqrt 2.0) (fabs im))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (fabs im) (fabs im)) (fabs im))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (* (sqrt 2.0) (fabs im)) (* (sqrt 2.0) (fabs im))) (* (sqrt 2.0) (fabs im))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (- (* (sqrt 2.0) (fabs im))) (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt 1)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt 2.0) (sqrt 1)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) 1) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt 2.0) (fabs im))) (/ (* (sqrt 2.0) (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt 1)) (/ (* (sqrt 2.0) (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt 1)) (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt 2.0) (fabs im)) 1) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (* -1 re) (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- im re) 0 (* -2 re) 6.342 * * [simplify]: Extracting # 0 : cost 0 6.343 * * [simplify]: Extracting # 1 : cost 0 6.343 * * [simplify]: Extracting # 2 : cost 0 6.343 * * [simplify]: Extracting # 3 : cost 0 6.344 * * [simplify]: Extracting # 4 : cost 0 6.344 * * [simplify]: Extracting # 5 : cost 0 6.344 * * [simplify]: Extracting # 6 : cost 0 6.345 * * [simplify]: Extracting # 7 : cost 0 6.345 * * [simplify]: Extracting # 8 : cost 0 6.346 * * [simplify]: Extracting # 9 : cost 0 6.346 * * [simplify]: Extracting # 10 : cost 0 6.346 * * [simplify]: Extracting # 11 : cost 0 6.347 * * [simplify]: Extracting # 12 : cost 0 6.347 * * [simplify]: Extracting # 13 : cost 0 6.348 * * [simplify]: Extracting # 14 : cost 0 6.348 * * [simplify]: Extracting # 15 : cost 0 6.349 * * [simplify]: Extracting # 16 : cost 0 6.349 * * [simplify]: iteration 0 : 192 enodes (cost 1649 ) 6.425 * * [simplify]: Extracting # 0 : cost 0 6.426 * * [simplify]: Extracting # 1 : cost 0 6.427 * * [simplify]: Extracting # 2 : cost 0 6.428 * * [simplify]: Extracting # 3 : cost 0 6.429 * * [simplify]: Extracting # 4 : cost 0 6.430 * * [simplify]: iteration 1 : 477 enodes (cost 1497 ) 6.819 * * [simplify]: Extracting # 0 : cost 0 6.824 * * [simplify]: Extracting # 1 : cost 0 6.830 * * [simplify]: Extracting # 2 : cost 0 6.835 * * [simplify]: Extracting # 3 : cost 0 6.841 * * [simplify]: Extracting # 4 : cost 0 6.846 * * [simplify]: iteration 2 : 2534 enodes (cost 1367 ) 8.525 * * [simplify]: Extracting # 0 : cost 0 8.540 * * [simplify]: Extracting # 1 : cost 0 8.560 * * [simplify]: Extracting # 2 : cost 0 8.576 * * [simplify]: Extracting # 3 : cost 0 8.591 * * [simplify]: Extracting # 4 : cost 0 8.612 * * [simplify]: iteration done: 5002 enodes (cost 1367 ) 8.614 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (fabs im) (sqrt 2.0)) (log (* (sqrt 2.0) (fabs im))) (log (* (sqrt 2.0) (fabs im))) (exp (* (sqrt 2.0) (fabs im))) (pow (* (fabs im) (sqrt 2.0)) 3) (* (cbrt (* (sqrt 2.0) (fabs im))) (cbrt (* (sqrt 2.0) (fabs im)))) (cbrt (* (sqrt 2.0) (fabs im))) (pow (* (fabs im) (sqrt 2.0)) 3) (sqrt (* (sqrt 2.0) (fabs im))) (sqrt (* (sqrt 2.0) (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (sqrt (fabs im))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (fabs im)) (* (sqrt (cbrt 2.0)) (fabs im)) (* (sqrt (sqrt 2.0)) (fabs im)) (* (fabs im) (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs im)) (* (fabs im) (sqrt 2.0)) (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3) (pow (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3) (* (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (- (* (sqrt 2.0) (fabs im))) (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt 2.0) (fabs im))) (/ (* (sqrt 2.0) (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (* (fabs im) (sqrt 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (sqrt 2.0)) (/ (* (sqrt 2.0) (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (sqrt 2.0)) (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt 2.0) (/ (sqrt (- (+ (* re re) (* im im)) (* re re))) (fabs im))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))) (- re) (- (+ (* re re) (* im im)) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (- re) (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0)) (+ (* +nan.0 (- (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2)) (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)))) (- (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))) (- (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))) (- im re) 0 (* -2 re) 8.615 * * * [progress]: adding candidates to table 9.328 * * [progress]: iteration 4 / 4 9.328 * * * [progress]: picking best candidate 9.373 * * * * [pick]: Picked # 9.373 * * * [progress]: localizing error 9.428 * * * [progress]: generating rewritten candidates 9.428 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 9.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 9.693 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 9.777 * * * [progress]: generating series expansions 9.778 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 9.778 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 9.778 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.778 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.778 * [taylor]: Taking taylor expansion of re in im 9.778 * [backup-simplify]: Simplify re into re 9.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.778 * [taylor]: Taking taylor expansion of im in im 9.778 * [backup-simplify]: Simplify 0 into 0 9.778 * [backup-simplify]: Simplify 1 into 1 9.778 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.779 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.779 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.779 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.780 * [backup-simplify]: Simplify (+ 0 0) into 0 9.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.781 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.781 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.781 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.781 * [taylor]: Taking taylor expansion of re in re 9.781 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify 1 into 1 9.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.781 * [taylor]: Taking taylor expansion of im in re 9.781 * [backup-simplify]: Simplify im into im 9.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.782 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.782 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.782 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.783 * [backup-simplify]: Simplify (+ 0 0) into 0 9.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.784 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.784 * [taylor]: Taking taylor expansion of re in re 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.784 * [taylor]: Taking taylor expansion of im in re 9.784 * [backup-simplify]: Simplify im into im 9.784 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.785 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.785 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.786 * [backup-simplify]: Simplify (+ 0 0) into 0 9.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.787 * [taylor]: Taking taylor expansion of im in im 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [taylor]: Taking taylor expansion of 0 in im 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (* 1 1) into 1 9.788 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.788 * [backup-simplify]: Simplify (+ 1 0) into 1 9.789 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.789 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.789 * [taylor]: Taking taylor expansion of 1/2 in im 9.789 * [backup-simplify]: Simplify 1/2 into 1/2 9.789 * [taylor]: Taking taylor expansion of im in im 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 1 into 1 9.790 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.793 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.793 * [backup-simplify]: Simplify (+ 0 0) into 0 9.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.793 * [taylor]: Taking taylor expansion of 0 in im 9.793 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.795 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.795 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.795 * [taylor]: Taking taylor expansion of im in im 9.796 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify 1 into 1 9.796 * [backup-simplify]: Simplify (* 1 1) into 1 9.797 * [backup-simplify]: Simplify (/ 1 1) into 1 9.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.797 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.797 * [taylor]: Taking taylor expansion of re in im 9.797 * [backup-simplify]: Simplify re into re 9.797 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.797 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.797 * [backup-simplify]: Simplify (+ 1 0) into 1 9.798 * [backup-simplify]: Simplify (sqrt 1) into 1 9.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify (+ 0 0) into 0 9.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.800 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.800 * [taylor]: Taking taylor expansion of im in re 9.800 * [backup-simplify]: Simplify im into im 9.800 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.801 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.801 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.801 * [taylor]: Taking taylor expansion of re in re 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [backup-simplify]: Simplify (* 1 1) into 1 9.801 * [backup-simplify]: Simplify (/ 1 1) into 1 9.802 * [backup-simplify]: Simplify (+ 0 1) into 1 9.802 * [backup-simplify]: Simplify (sqrt 1) into 1 9.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.804 * [backup-simplify]: Simplify (+ 0 0) into 0 9.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.805 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.805 * [taylor]: Taking taylor expansion of im in re 9.805 * [backup-simplify]: Simplify im into im 9.805 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.805 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.805 * [taylor]: Taking taylor expansion of re in re 9.805 * [backup-simplify]: Simplify 0 into 0 9.806 * [backup-simplify]: Simplify 1 into 1 9.806 * [backup-simplify]: Simplify (* 1 1) into 1 9.806 * [backup-simplify]: Simplify (/ 1 1) into 1 9.807 * [backup-simplify]: Simplify (+ 0 1) into 1 9.807 * [backup-simplify]: Simplify (sqrt 1) into 1 9.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.809 * [backup-simplify]: Simplify (+ 0 0) into 0 9.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.810 * [taylor]: Taking taylor expansion of 1 in im 9.810 * [backup-simplify]: Simplify 1 into 1 9.810 * [taylor]: Taking taylor expansion of 0 in im 9.810 * [backup-simplify]: Simplify 0 into 0 9.810 * [backup-simplify]: Simplify 1 into 1 9.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.812 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.813 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.814 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.814 * [taylor]: Taking taylor expansion of 1/2 in im 9.814 * [backup-simplify]: Simplify 1/2 into 1/2 9.814 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.814 * [taylor]: Taking taylor expansion of im in im 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (* 1 1) into 1 9.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.816 * [backup-simplify]: Simplify 0 into 0 9.816 * [backup-simplify]: Simplify 0 into 0 9.816 * [backup-simplify]: Simplify 0 into 0 9.816 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.824 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.825 * [taylor]: Taking taylor expansion of 0 in im 9.825 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.827 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.827 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.828 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.828 * [taylor]: Taking taylor expansion of im in im 9.828 * [backup-simplify]: Simplify 0 into 0 9.828 * [backup-simplify]: Simplify 1 into 1 9.828 * [backup-simplify]: Simplify (* 1 1) into 1 9.829 * [backup-simplify]: Simplify (/ 1 1) into 1 9.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.829 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.829 * [taylor]: Taking taylor expansion of re in im 9.829 * [backup-simplify]: Simplify re into re 9.829 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.829 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.829 * [backup-simplify]: Simplify (+ 1 0) into 1 9.830 * [backup-simplify]: Simplify (sqrt 1) into 1 9.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.832 * [backup-simplify]: Simplify (+ 0 0) into 0 9.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.833 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.833 * [taylor]: Taking taylor expansion of im in re 9.833 * [backup-simplify]: Simplify im into im 9.833 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.833 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.833 * [taylor]: Taking taylor expansion of re in re 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 1 into 1 9.834 * [backup-simplify]: Simplify (* 1 1) into 1 9.834 * [backup-simplify]: Simplify (/ 1 1) into 1 9.834 * [backup-simplify]: Simplify (+ 0 1) into 1 9.835 * [backup-simplify]: Simplify (sqrt 1) into 1 9.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.837 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.837 * [taylor]: Taking taylor expansion of im in re 9.837 * [backup-simplify]: Simplify im into im 9.838 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.838 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.838 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.838 * [taylor]: Taking taylor expansion of re in re 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [backup-simplify]: Simplify (* 1 1) into 1 9.839 * [backup-simplify]: Simplify (/ 1 1) into 1 9.839 * [backup-simplify]: Simplify (+ 0 1) into 1 9.840 * [backup-simplify]: Simplify (sqrt 1) into 1 9.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.841 * [backup-simplify]: Simplify (+ 0 0) into 0 9.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.842 * [taylor]: Taking taylor expansion of 1 in im 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [taylor]: Taking taylor expansion of 0 in im 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.844 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.846 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.846 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.846 * [taylor]: Taking taylor expansion of 1/2 in im 9.846 * [backup-simplify]: Simplify 1/2 into 1/2 9.846 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.846 * [taylor]: Taking taylor expansion of im in im 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (* 1 1) into 1 9.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.851 * [backup-simplify]: Simplify (+ 0 0) into 0 9.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.852 * [taylor]: Taking taylor expansion of 0 in im 9.852 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 0 into 0 9.855 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.855 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.858 * [backup-simplify]: Simplify (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs im))) into (* (fabs im) (sqrt 2.0)) 9.858 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in (im) around 0 9.858 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 9.858 * [taylor]: Taking taylor expansion of (fabs im) in im 9.858 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.858 * [taylor]: Taking taylor expansion of 2.0 in im 9.858 * [backup-simplify]: Simplify 2.0 into 2.0 9.859 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.860 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 9.860 * [taylor]: Taking taylor expansion of (fabs im) in im 9.860 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.860 * [taylor]: Taking taylor expansion of 2.0 in im 9.860 * [backup-simplify]: Simplify 2.0 into 2.0 9.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.861 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 9.862 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 9.862 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 9.863 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.865 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.865 * [backup-simplify]: Simplify 0 into 0 9.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.867 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 9.867 * [backup-simplify]: Simplify 0 into 0 9.869 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.870 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 9.870 * [backup-simplify]: Simplify 0 into 0 9.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.873 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 9.873 * [backup-simplify]: Simplify 0 into 0 9.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.876 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 9.876 * [backup-simplify]: Simplify 0 into 0 9.876 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 9.879 * [backup-simplify]: Simplify (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs (/ 1 im)))) into (* (fabs (/ 1 im)) (sqrt 2.0)) 9.880 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in (im) around 0 9.880 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 9.880 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 9.880 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.880 * [taylor]: Taking taylor expansion of 2.0 in im 9.880 * [backup-simplify]: Simplify 2.0 into 2.0 9.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.881 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 9.881 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 9.881 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.881 * [taylor]: Taking taylor expansion of 2.0 in im 9.881 * [backup-simplify]: Simplify 2.0 into 2.0 9.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.883 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 9.884 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 9.884 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 9.884 * [backup-simplify]: Simplify 0 into 0 9.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.887 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.887 * [backup-simplify]: Simplify 0 into 0 9.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.889 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 9.889 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.892 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 9.892 * [backup-simplify]: Simplify 0 into 0 9.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.895 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 9.895 * [backup-simplify]: Simplify 0 into 0 9.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.899 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 9.903 * [backup-simplify]: Simplify (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs (/ 1 (- im))))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.903 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in (im) around 0 9.903 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 9.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.903 * [taylor]: Taking taylor expansion of 2.0 in im 9.903 * [backup-simplify]: Simplify 2.0 into 2.0 9.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.904 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 9.904 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.904 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 9.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.904 * [taylor]: Taking taylor expansion of 2.0 in im 9.904 * [backup-simplify]: Simplify 2.0 into 2.0 9.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.906 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 9.906 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.906 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.907 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.907 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 9.908 * [backup-simplify]: Simplify 0 into 0 9.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.910 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 9.910 * [backup-simplify]: Simplify 0 into 0 9.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.912 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 9.913 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.916 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))) into 0 9.916 * [backup-simplify]: Simplify 0 into 0 9.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.919 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))))) into 0 9.920 * [backup-simplify]: Simplify 0 into 0 9.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.924 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))))) into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))) into (* (fabs im) (sqrt 2.0)) 9.924 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.928 * [backup-simplify]: Simplify (/ (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) 9.928 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 9.928 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 9.928 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 9.928 * [taylor]: Taking taylor expansion of (fabs im) in re 9.928 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.928 * [taylor]: Taking taylor expansion of 2.0 in re 9.928 * [backup-simplify]: Simplify 2.0 into 2.0 9.929 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 9.930 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 9.930 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 9.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.930 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.930 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.930 * [taylor]: Taking taylor expansion of re in re 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify 1 into 1 9.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.930 * [taylor]: Taking taylor expansion of im in re 9.930 * [backup-simplify]: Simplify im into im 9.930 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.930 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.930 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.931 * [backup-simplify]: Simplify (+ 0 0) into 0 9.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.931 * [taylor]: Taking taylor expansion of re in re 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify 1 into 1 9.932 * [backup-simplify]: Simplify (- 0) into 0 9.932 * [backup-simplify]: Simplify (+ im 0) into im 9.932 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.932 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 9.932 * [backup-simplify]: Simplify (- 1) into -1 9.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 9.933 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 9.933 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 9.933 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 9.933 * [taylor]: Taking taylor expansion of (fabs im) in im 9.933 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.933 * [taylor]: Taking taylor expansion of 2.0 in im 9.933 * [backup-simplify]: Simplify 2.0 into 2.0 9.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 9.935 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 9.935 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 9.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.935 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.935 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.935 * [taylor]: Taking taylor expansion of re in im 9.935 * [backup-simplify]: Simplify re into re 9.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.935 * [taylor]: Taking taylor expansion of im in im 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.935 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.936 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.936 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.936 * [backup-simplify]: Simplify (+ 0 0) into 0 9.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.936 * [taylor]: Taking taylor expansion of re in im 9.936 * [backup-simplify]: Simplify re into re 9.936 * [backup-simplify]: Simplify (- re) into (- re) 9.937 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.937 * [backup-simplify]: Simplify (- 0) into 0 9.938 * [backup-simplify]: Simplify (+ 0 0) into 0 9.939 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.939 * [backup-simplify]: Simplify (* 1 1) into 1 9.940 * [backup-simplify]: Simplify (+ 0 1) into 1 9.941 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.941 * [backup-simplify]: Simplify (- 0) into 0 9.941 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.941 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.941 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 9.942 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.944 * [backup-simplify]: Simplify (+ 0 0) into 0 9.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.945 * [backup-simplify]: Simplify (- 0) into 0 9.945 * [backup-simplify]: Simplify (+ 0 0) into 0 9.945 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 9.946 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 9.946 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 9.946 * [taylor]: Taking taylor expansion of (fabs im) in im 9.946 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.946 * [taylor]: Taking taylor expansion of 2.0 in im 9.946 * [backup-simplify]: Simplify 2.0 into 2.0 9.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.947 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 9.947 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 9.947 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 9.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.947 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.947 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.947 * [taylor]: Taking taylor expansion of re in im 9.947 * [backup-simplify]: Simplify re into re 9.947 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.947 * [taylor]: Taking taylor expansion of im in im 9.947 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 1 into 1 9.948 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.948 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.948 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.948 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.948 * [backup-simplify]: Simplify (+ 0 0) into 0 9.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.949 * [taylor]: Taking taylor expansion of re in im 9.949 * [backup-simplify]: Simplify re into re 9.949 * [backup-simplify]: Simplify (- re) into (- re) 9.949 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.949 * [backup-simplify]: Simplify (- 0) into 0 9.950 * [backup-simplify]: Simplify (+ 0 0) into 0 9.950 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.950 * [backup-simplify]: Simplify (* 1 1) into 1 9.951 * [backup-simplify]: Simplify (+ 0 1) into 1 9.952 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.952 * [backup-simplify]: Simplify (- 0) into 0 9.952 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.952 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.952 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 9.953 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.954 * [backup-simplify]: Simplify (+ 0 0) into 0 9.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.955 * [backup-simplify]: Simplify (- 0) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 9.956 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 9.957 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) 9.957 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) in re 9.957 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 2))) in re 9.957 * [taylor]: Taking taylor expansion of (fabs im) in re 9.957 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 9.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.957 * [taylor]: Taking taylor expansion of 2.0 in re 9.957 * [backup-simplify]: Simplify 2.0 into 2.0 9.958 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.959 * [taylor]: Taking taylor expansion of (sqrt 2) in re 9.959 * [taylor]: Taking taylor expansion of 2 in re 9.959 * [backup-simplify]: Simplify 2 into 2 9.959 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.960 * [taylor]: Taking taylor expansion of (sqrt re) in re 9.960 * [taylor]: Taking taylor expansion of re in re 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [backup-simplify]: Simplify (sqrt 0) into 0 9.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.963 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 9.964 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 9.966 * [backup-simplify]: Simplify (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 0) into 0 9.966 * [backup-simplify]: Simplify 0 into 0 9.967 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 9.968 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0 9.968 * [taylor]: Taking taylor expansion of 0 in re 9.968 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify 0 into 0 9.969 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 9.970 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 2)))) into 0 9.971 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 9.973 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 9.974 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 9.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.976 * [backup-simplify]: Simplify (+ 0 0) into 0 9.977 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.977 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 9.978 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 9.979 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))) 9.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.991 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.994 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 9.994 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 9.994 * [taylor]: Taking taylor expansion of 1/4 in re 9.994 * [backup-simplify]: Simplify 1/4 into 1/4 9.994 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 9.994 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) in re 9.994 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 9.994 * [taylor]: Taking taylor expansion of (fabs im) in re 9.994 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.994 * [taylor]: Taking taylor expansion of 2.0 in re 9.994 * [backup-simplify]: Simplify 2.0 into 2.0 9.995 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.995 * [taylor]: Taking taylor expansion of (sqrt 2) in re 9.995 * [taylor]: Taking taylor expansion of 2 in re 9.996 * [backup-simplify]: Simplify 2 into 2 9.996 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.997 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 9.998 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 9.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 9.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 9.998 * [taylor]: Taking taylor expansion of (pow re 3) in re 9.998 * [taylor]: Taking taylor expansion of re in re 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 1 into 1 9.998 * [backup-simplify]: Simplify (* 1 1) into 1 9.999 * [backup-simplify]: Simplify (* 1 1) into 1 9.999 * [backup-simplify]: Simplify (/ 1 1) into 1 9.999 * [backup-simplify]: Simplify (sqrt 0) into 0 10.001 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.006 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.006 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 10.008 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 10.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.010 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 10.013 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 10.015 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 10.016 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 10.017 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 0) into 0 10.019 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 10.020 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 10.020 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 10.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.026 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 10.027 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 2))))) into 0 10.029 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 10.030 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 10.034 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))))) 10.037 * [backup-simplify]: Simplify (/ (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs (/ 1 im)))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 10.037 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 10.037 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 10.037 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 10.037 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.037 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.037 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.037 * [taylor]: Taking taylor expansion of 2.0 in re 10.038 * [backup-simplify]: Simplify 2.0 into 2.0 10.038 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 10.039 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 10.039 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.039 * [taylor]: Taking taylor expansion of im in re 10.039 * [backup-simplify]: Simplify im into im 10.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.039 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.039 * [taylor]: Taking taylor expansion of re in re 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (* 1 1) into 1 10.040 * [backup-simplify]: Simplify (/ 1 1) into 1 10.041 * [backup-simplify]: Simplify (+ 0 1) into 1 10.041 * [backup-simplify]: Simplify (sqrt 1) into 1 10.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.043 * [backup-simplify]: Simplify (+ 0 0) into 0 10.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.044 * [taylor]: Taking taylor expansion of re in re 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.044 * [backup-simplify]: Simplify (/ 1 1) into 1 10.045 * [backup-simplify]: Simplify (- 1) into -1 10.045 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.046 * [backup-simplify]: Simplify (- 0) into 0 10.047 * [backup-simplify]: Simplify (+ 0 0) into 0 10.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.050 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.051 * [backup-simplify]: Simplify (- 0) into 0 10.052 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.052 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 10.052 * [backup-simplify]: Simplify (sqrt 0) into 0 10.053 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 10.053 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 10.053 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 10.053 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 10.053 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.053 * [taylor]: Taking taylor expansion of 2.0 in im 10.053 * [backup-simplify]: Simplify 2.0 into 2.0 10.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 10.055 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 10.055 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.055 * [taylor]: Taking taylor expansion of im in im 10.055 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify 1 into 1 10.055 * [backup-simplify]: Simplify (* 1 1) into 1 10.056 * [backup-simplify]: Simplify (/ 1 1) into 1 10.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.056 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.056 * [taylor]: Taking taylor expansion of re in im 10.056 * [backup-simplify]: Simplify re into re 10.056 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.056 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.057 * [backup-simplify]: Simplify (+ 1 0) into 1 10.057 * [backup-simplify]: Simplify (sqrt 1) into 1 10.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.059 * [backup-simplify]: Simplify (+ 0 0) into 0 10.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.060 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.060 * [taylor]: Taking taylor expansion of re in im 10.060 * [backup-simplify]: Simplify re into re 10.060 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.060 * [backup-simplify]: Simplify (+ 1 0) into 1 10.061 * [backup-simplify]: Simplify (/ 1 1) into 1 10.061 * [backup-simplify]: Simplify (sqrt 0) into 0 10.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.062 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 10.063 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 10.063 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 10.063 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.063 * [taylor]: Taking taylor expansion of 2.0 in im 10.063 * [backup-simplify]: Simplify 2.0 into 2.0 10.063 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 10.064 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 10.064 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.064 * [taylor]: Taking taylor expansion of im in im 10.064 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify 1 into 1 10.065 * [backup-simplify]: Simplify (* 1 1) into 1 10.065 * [backup-simplify]: Simplify (/ 1 1) into 1 10.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.065 * [taylor]: Taking taylor expansion of re in im 10.065 * [backup-simplify]: Simplify re into re 10.065 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.066 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.066 * [backup-simplify]: Simplify (+ 1 0) into 1 10.066 * [backup-simplify]: Simplify (sqrt 1) into 1 10.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.068 * [backup-simplify]: Simplify (+ 0 0) into 0 10.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.069 * [taylor]: Taking taylor expansion of re in im 10.069 * [backup-simplify]: Simplify re into re 10.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.069 * [backup-simplify]: Simplify (+ 1 0) into 1 10.070 * [backup-simplify]: Simplify (/ 1 1) into 1 10.070 * [backup-simplify]: Simplify (sqrt 0) into 0 10.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.072 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.073 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0 10.073 * [taylor]: Taking taylor expansion of 0 in re 10.073 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 10.074 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.075 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 10.075 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 10.075 * [taylor]: Taking taylor expansion of +nan.0 in re 10.075 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.075 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 10.075 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.075 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.075 * [taylor]: Taking taylor expansion of 2.0 in re 10.075 * [backup-simplify]: Simplify 2.0 into 2.0 10.075 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 10.077 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 10.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 10.078 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 10.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.081 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.082 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) 10.082 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 10.082 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 10.082 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 10.082 * [taylor]: Taking taylor expansion of +nan.0 in re 10.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.082 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 10.082 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.082 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.083 * [taylor]: Taking taylor expansion of 2.0 in re 10.083 * [backup-simplify]: Simplify 2.0 into 2.0 10.083 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.084 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 10.084 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 10.084 * [taylor]: Taking taylor expansion of +nan.0 in re 10.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.084 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 10.084 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 10.084 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.084 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.084 * [taylor]: Taking taylor expansion of 2.0 in re 10.084 * [backup-simplify]: Simplify 2.0 into 2.0 10.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.086 * [taylor]: Taking taylor expansion of re in re 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.087 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.087 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 10.088 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.089 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.089 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.090 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.090 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.091 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 10.091 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.092 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.092 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 10.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.096 * [backup-simplify]: Simplify (- 0) into 0 10.096 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 10.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.098 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 10.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.100 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 10.103 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (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 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) 10.103 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 10.103 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 10.103 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 10.103 * [taylor]: Taking taylor expansion of +nan.0 in re 10.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.103 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 10.103 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.104 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.104 * [taylor]: Taking taylor expansion of 2.0 in re 10.104 * [backup-simplify]: Simplify 2.0 into 2.0 10.104 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.105 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 10.105 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 10.105 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 10.105 * [taylor]: Taking taylor expansion of +nan.0 in re 10.105 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.105 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 10.105 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 10.105 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.105 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.105 * [taylor]: Taking taylor expansion of 2.0 in re 10.106 * [backup-simplify]: Simplify 2.0 into 2.0 10.106 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.107 * [taylor]: Taking taylor expansion of re in re 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 1 into 1 10.108 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.108 * [backup-simplify]: Simplify (* 1 1) into 1 10.109 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.109 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 10.109 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 10.109 * [taylor]: Taking taylor expansion of +nan.0 in re 10.109 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.109 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 10.109 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 10.109 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.109 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.109 * [taylor]: Taking taylor expansion of 2.0 in re 10.109 * [backup-simplify]: Simplify 2.0 into 2.0 10.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.110 * [taylor]: Taking taylor expansion of re in re 10.110 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify 1 into 1 10.111 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.112 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 10.112 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 10.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 10.116 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 10.116 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 10.117 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.118 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.118 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.119 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.120 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.120 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 10.124 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) 10.128 * [backup-simplify]: Simplify (/ (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs (/ 1 (- im))))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 10.128 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 10.128 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 10.128 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 10.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.128 * [taylor]: Taking taylor expansion of 2.0 in re 10.128 * [backup-simplify]: Simplify 2.0 into 2.0 10.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.129 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.129 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 10.130 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 10.130 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.130 * [taylor]: Taking taylor expansion of re in re 10.130 * [backup-simplify]: Simplify 0 into 0 10.130 * [backup-simplify]: Simplify 1 into 1 10.130 * [backup-simplify]: Simplify (/ 1 1) into 1 10.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.130 * [taylor]: Taking taylor expansion of im in re 10.130 * [backup-simplify]: Simplify im into im 10.130 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.131 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.131 * [taylor]: Taking taylor expansion of re in re 10.131 * [backup-simplify]: Simplify 0 into 0 10.131 * [backup-simplify]: Simplify 1 into 1 10.131 * [backup-simplify]: Simplify (* 1 1) into 1 10.132 * [backup-simplify]: Simplify (/ 1 1) into 1 10.132 * [backup-simplify]: Simplify (+ 0 1) into 1 10.133 * [backup-simplify]: Simplify (sqrt 1) into 1 10.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.134 * [backup-simplify]: Simplify (+ 0 0) into 0 10.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.135 * [backup-simplify]: Simplify (+ 1 1) into 2 10.136 * [backup-simplify]: Simplify (/ 1 2) into 1/2 10.136 * [backup-simplify]: Simplify (sqrt 0) into 0 10.138 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 10.138 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 10.138 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 10.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.138 * [taylor]: Taking taylor expansion of 2.0 in im 10.138 * [backup-simplify]: Simplify 2.0 into 2.0 10.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.139 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 10.139 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 10.139 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 10.139 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.140 * [taylor]: Taking taylor expansion of re in im 10.140 * [backup-simplify]: Simplify re into re 10.140 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.140 * [taylor]: Taking taylor expansion of im in im 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 1 into 1 10.140 * [backup-simplify]: Simplify (* 1 1) into 1 10.141 * [backup-simplify]: Simplify (/ 1 1) into 1 10.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.141 * [taylor]: Taking taylor expansion of re in im 10.141 * [backup-simplify]: Simplify re into re 10.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.141 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.142 * [backup-simplify]: Simplify (+ 1 0) into 1 10.142 * [backup-simplify]: Simplify (sqrt 1) into 1 10.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.150 * [backup-simplify]: Simplify (+ 0 0) into 0 10.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.152 * [backup-simplify]: Simplify (+ 0 1) into 1 10.152 * [backup-simplify]: Simplify (/ 1 1) into 1 10.152 * [backup-simplify]: Simplify (sqrt 0) into 0 10.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.154 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 10.154 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 10.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.154 * [taylor]: Taking taylor expansion of 2.0 in im 10.154 * [backup-simplify]: Simplify 2.0 into 2.0 10.154 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.155 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 10.155 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 10.155 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 10.156 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.156 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.156 * [taylor]: Taking taylor expansion of re in im 10.156 * [backup-simplify]: Simplify re into re 10.156 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.156 * [taylor]: Taking taylor expansion of im in im 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [backup-simplify]: Simplify (* 1 1) into 1 10.157 * [backup-simplify]: Simplify (/ 1 1) into 1 10.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.157 * [taylor]: Taking taylor expansion of re in im 10.157 * [backup-simplify]: Simplify re into re 10.157 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.157 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.158 * [backup-simplify]: Simplify (+ 1 0) into 1 10.158 * [backup-simplify]: Simplify (sqrt 1) into 1 10.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.161 * [backup-simplify]: Simplify (+ 0 0) into 0 10.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.162 * [backup-simplify]: Simplify (+ 0 1) into 1 10.162 * [backup-simplify]: Simplify (/ 1 1) into 1 10.163 * [backup-simplify]: Simplify (sqrt 0) into 0 10.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.165 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.166 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 10.166 * [taylor]: Taking taylor expansion of 0 in re 10.166 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 10.167 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.168 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 10.168 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 10.168 * [taylor]: Taking taylor expansion of +nan.0 in re 10.168 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 10.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.168 * [taylor]: Taking taylor expansion of 2.0 in re 10.168 * [backup-simplify]: Simplify 2.0 into 2.0 10.168 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.169 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.169 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.170 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.170 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 10.171 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.171 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.171 * [backup-simplify]: Simplify 0 into 0 10.171 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 10.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 10.173 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 10.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.175 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 10.177 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) 10.177 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 10.177 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 10.177 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 10.177 * [taylor]: Taking taylor expansion of +nan.0 in re 10.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.177 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 10.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 10.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.177 * [taylor]: Taking taylor expansion of 2.0 in re 10.177 * [backup-simplify]: Simplify 2.0 into 2.0 10.178 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.178 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.178 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.179 * [taylor]: Taking taylor expansion of re in re 10.179 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify 1 into 1 10.179 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.180 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.180 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 10.180 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 10.180 * [taylor]: Taking taylor expansion of +nan.0 in re 10.180 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.180 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 10.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.180 * [taylor]: Taking taylor expansion of 2.0 in re 10.180 * [backup-simplify]: Simplify 2.0 into 2.0 10.180 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.181 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.181 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.182 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 10.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 10.184 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 10.185 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.185 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 10.186 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.187 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.187 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.188 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.188 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 10.189 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 10.190 * [backup-simplify]: Simplify (- 0) into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.192 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 10.193 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.194 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 10.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.196 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 10.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.198 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 10.201 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +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) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) 10.201 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 10.201 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 10.201 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 10.201 * [taylor]: Taking taylor expansion of +nan.0 in re 10.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.201 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 10.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 10.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.201 * [taylor]: Taking taylor expansion of 2.0 in re 10.201 * [backup-simplify]: Simplify 2.0 into 2.0 10.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.203 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.203 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.203 * [taylor]: Taking taylor expansion of re in re 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 1 into 1 10.203 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.204 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.204 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 10.204 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 10.204 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 10.204 * [taylor]: Taking taylor expansion of +nan.0 in re 10.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.204 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 10.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 10.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.204 * [taylor]: Taking taylor expansion of 2.0 in re 10.204 * [backup-simplify]: Simplify 2.0 into 2.0 10.205 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.205 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.206 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.206 * [taylor]: Taking taylor expansion of re in re 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.207 * [backup-simplify]: Simplify (* 1 1) into 1 10.207 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.207 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 10.207 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 10.207 * [taylor]: Taking taylor expansion of +nan.0 in re 10.207 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 10.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.207 * [taylor]: Taking taylor expansion of 2.0 in re 10.207 * [backup-simplify]: Simplify 2.0 into 2.0 10.208 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.209 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.209 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.209 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 10.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 10.212 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 10.213 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.214 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 10.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.215 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 10.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 10.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.220 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0 10.221 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 10.221 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 10.222 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.223 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.223 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.224 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.224 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.225 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.228 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) 10.228 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 10.228 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 10.228 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 10.228 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 10.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.228 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.228 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.228 * [taylor]: Taking taylor expansion of re in im 10.228 * [backup-simplify]: Simplify re into re 10.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.229 * [taylor]: Taking taylor expansion of im in im 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 1 into 1 10.229 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.229 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.229 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.229 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.230 * [backup-simplify]: Simplify (+ 0 0) into 0 10.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.230 * [taylor]: Taking taylor expansion of re in im 10.230 * [backup-simplify]: Simplify re into re 10.230 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.230 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.230 * [taylor]: Taking taylor expansion of re in re 10.230 * [backup-simplify]: Simplify 0 into 0 10.230 * [backup-simplify]: Simplify 1 into 1 10.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.230 * [taylor]: Taking taylor expansion of im in re 10.230 * [backup-simplify]: Simplify im into im 10.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.230 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.231 * [backup-simplify]: Simplify (+ 0 0) into 0 10.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.231 * [taylor]: Taking taylor expansion of re in re 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 1 into 1 10.231 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.231 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.231 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.232 * [taylor]: Taking taylor expansion of re in re 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify 1 into 1 10.232 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.232 * [taylor]: Taking taylor expansion of im in re 10.232 * [backup-simplify]: Simplify im into im 10.232 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.233 * [backup-simplify]: Simplify (+ 0 0) into 0 10.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.233 * [taylor]: Taking taylor expansion of re in re 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.233 * [backup-simplify]: Simplify (- 0) into 0 10.233 * [backup-simplify]: Simplify (+ im 0) into im 10.233 * [taylor]: Taking taylor expansion of im in im 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify (- 1) into -1 10.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.234 * [taylor]: Taking taylor expansion of -1 in im 10.234 * [backup-simplify]: Simplify -1 into -1 10.234 * [backup-simplify]: Simplify -1 into -1 10.235 * [backup-simplify]: Simplify 1 into 1 10.235 * [backup-simplify]: Simplify (* 1 1) into 1 10.235 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.236 * [backup-simplify]: Simplify (+ 1 0) into 1 10.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.237 * [backup-simplify]: Simplify (- 0) into 0 10.237 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 10.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.237 * [taylor]: Taking taylor expansion of 1/2 in im 10.237 * [backup-simplify]: Simplify 1/2 into 1/2 10.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.237 * [taylor]: Taking taylor expansion of im in im 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify 1 into 1 10.238 * [backup-simplify]: Simplify (/ 1 1) into 1 10.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.241 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.241 * [backup-simplify]: Simplify (+ 0 0) into 0 10.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.242 * [backup-simplify]: Simplify (- 0) into 0 10.242 * [backup-simplify]: Simplify (+ 0 0) into 0 10.242 * [taylor]: Taking taylor expansion of 0 in im 10.242 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 10.245 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 10.246 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 10.246 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.246 * [taylor]: Taking taylor expansion of im in im 10.246 * [backup-simplify]: Simplify 0 into 0 10.246 * [backup-simplify]: Simplify 1 into 1 10.246 * [backup-simplify]: Simplify (* 1 1) into 1 10.247 * [backup-simplify]: Simplify (/ 1 1) into 1 10.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.247 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.247 * [taylor]: Taking taylor expansion of re in im 10.247 * [backup-simplify]: Simplify re into re 10.247 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.247 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.248 * [backup-simplify]: Simplify (+ 1 0) into 1 10.248 * [backup-simplify]: Simplify (sqrt 1) into 1 10.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.250 * [backup-simplify]: Simplify (+ 0 0) into 0 10.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.251 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.251 * [taylor]: Taking taylor expansion of re in im 10.251 * [backup-simplify]: Simplify re into re 10.251 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.251 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.251 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.251 * [taylor]: Taking taylor expansion of im in re 10.251 * [backup-simplify]: Simplify im into im 10.251 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.251 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.251 * [taylor]: Taking taylor expansion of re in re 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.252 * [backup-simplify]: Simplify (* 1 1) into 1 10.252 * [backup-simplify]: Simplify (/ 1 1) into 1 10.253 * [backup-simplify]: Simplify (+ 0 1) into 1 10.253 * [backup-simplify]: Simplify (sqrt 1) into 1 10.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.255 * [backup-simplify]: Simplify (+ 0 0) into 0 10.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.255 * [taylor]: Taking taylor expansion of re in re 10.255 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify 1 into 1 10.256 * [backup-simplify]: Simplify (/ 1 1) into 1 10.256 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.256 * [taylor]: Taking taylor expansion of im in re 10.256 * [backup-simplify]: Simplify im into im 10.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.256 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.256 * [taylor]: Taking taylor expansion of re in re 10.256 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify 1 into 1 10.257 * [backup-simplify]: Simplify (* 1 1) into 1 10.257 * [backup-simplify]: Simplify (/ 1 1) into 1 10.257 * [backup-simplify]: Simplify (+ 0 1) into 1 10.258 * [backup-simplify]: Simplify (sqrt 1) into 1 10.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.259 * [backup-simplify]: Simplify (+ 0 0) into 0 10.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.260 * [taylor]: Taking taylor expansion of re in re 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify 1 into 1 10.260 * [backup-simplify]: Simplify (/ 1 1) into 1 10.261 * [backup-simplify]: Simplify (- 1) into -1 10.261 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.261 * [taylor]: Taking taylor expansion of 0 in im 10.261 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.262 * [backup-simplify]: Simplify (- 0) into 0 10.262 * [backup-simplify]: Simplify (+ 0 0) into 0 10.262 * [taylor]: Taking taylor expansion of 0 in im 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.264 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.266 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.267 * [backup-simplify]: Simplify (- 0) into 0 10.267 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.267 * [taylor]: Taking taylor expansion of 1/2 in im 10.267 * [backup-simplify]: Simplify 1/2 into 1/2 10.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.267 * [taylor]: Taking taylor expansion of im in im 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 1 into 1 10.268 * [backup-simplify]: Simplify (* 1 1) into 1 10.268 * [backup-simplify]: Simplify (/ 1 1) into 1 10.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.273 * [backup-simplify]: Simplify (+ 0 0) into 0 10.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.274 * [backup-simplify]: Simplify (- 0) into 0 10.275 * [backup-simplify]: Simplify (+ 0 0) into 0 10.275 * [taylor]: Taking taylor expansion of 0 in im 10.275 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.277 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 10.278 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 10.278 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.278 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.278 * [taylor]: Taking taylor expansion of re in im 10.278 * [backup-simplify]: Simplify re into re 10.278 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.278 * [taylor]: Taking taylor expansion of im in im 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.279 * [backup-simplify]: Simplify (* 1 1) into 1 10.279 * [backup-simplify]: Simplify (/ 1 1) into 1 10.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.279 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.279 * [taylor]: Taking taylor expansion of re in im 10.279 * [backup-simplify]: Simplify re into re 10.279 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.280 * [backup-simplify]: Simplify (+ 1 0) into 1 10.280 * [backup-simplify]: Simplify (sqrt 1) into 1 10.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.282 * [backup-simplify]: Simplify (+ 0 0) into 0 10.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.283 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.283 * [taylor]: Taking taylor expansion of re in re 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 1 into 1 10.283 * [backup-simplify]: Simplify (/ 1 1) into 1 10.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.283 * [taylor]: Taking taylor expansion of im in re 10.283 * [backup-simplify]: Simplify im into im 10.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.284 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.284 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.284 * [taylor]: Taking taylor expansion of re in re 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [backup-simplify]: Simplify (* 1 1) into 1 10.284 * [backup-simplify]: Simplify (/ 1 1) into 1 10.285 * [backup-simplify]: Simplify (+ 0 1) into 1 10.285 * [backup-simplify]: Simplify (sqrt 1) into 1 10.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.286 * [backup-simplify]: Simplify (+ 0 0) into 0 10.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.287 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.287 * [taylor]: Taking taylor expansion of re in re 10.287 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify 1 into 1 10.288 * [backup-simplify]: Simplify (/ 1 1) into 1 10.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.288 * [taylor]: Taking taylor expansion of im in re 10.288 * [backup-simplify]: Simplify im into im 10.288 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.288 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.288 * [taylor]: Taking taylor expansion of re in re 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 1 into 1 10.288 * [backup-simplify]: Simplify (* 1 1) into 1 10.289 * [backup-simplify]: Simplify (/ 1 1) into 1 10.289 * [backup-simplify]: Simplify (+ 0 1) into 1 10.290 * [backup-simplify]: Simplify (sqrt 1) into 1 10.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.291 * [backup-simplify]: Simplify (+ 0 0) into 0 10.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.292 * [backup-simplify]: Simplify (+ 1 1) into 2 10.292 * [taylor]: Taking taylor expansion of 2 in im 10.292 * [backup-simplify]: Simplify 2 into 2 10.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.293 * [backup-simplify]: Simplify (+ 0 0) into 0 10.293 * [taylor]: Taking taylor expansion of 0 in im 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 2 into 2 10.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.296 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.297 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 10.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.297 * [taylor]: Taking taylor expansion of 1/2 in im 10.297 * [backup-simplify]: Simplify 1/2 into 1/2 10.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.297 * [taylor]: Taking taylor expansion of im in im 10.297 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify 1 into 1 10.298 * [backup-simplify]: Simplify (* 1 1) into 1 10.298 * [backup-simplify]: Simplify (/ 1 1) into 1 10.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.301 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.315 * [backup-simplify]: Simplify (+ 0 0) into 0 10.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.316 * [backup-simplify]: Simplify (+ 0 0) into 0 10.316 * [taylor]: Taking taylor expansion of 0 in im 10.316 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 10.320 * * * [progress]: simplifying candidates 10.323 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt 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(* -1 re) (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- im re) 0 (* -2 re) 10.331 * * [simplify]: Extracting # 0 : cost 0 10.331 * * [simplify]: Extracting # 1 : cost 0 10.332 * * [simplify]: Extracting # 2 : cost 0 10.332 * * [simplify]: Extracting # 3 : cost 0 10.333 * * [simplify]: Extracting # 4 : cost 0 10.333 * * [simplify]: Extracting # 5 : cost 0 10.333 * * [simplify]: Extracting # 6 : cost 0 10.334 * * [simplify]: Extracting # 7 : cost 0 10.334 * * [simplify]: Extracting # 8 : cost 0 10.335 * * [simplify]: Extracting # 9 : cost 0 10.335 * * [simplify]: Extracting # 10 : cost 0 10.336 * * [simplify]: Extracting # 11 : cost 0 10.336 * * [simplify]: Extracting # 12 : cost 0 10.337 * * [simplify]: Extracting # 13 : cost 0 10.337 * * [simplify]: Extracting # 14 : cost 0 10.338 * * [simplify]: Extracting # 15 : cost 0 10.338 * * [simplify]: iteration 0 : 203 enodes (cost 2536 ) 10.428 * * [simplify]: Extracting # 0 : cost 0 10.429 * * [simplify]: Extracting # 1 : cost 0 10.430 * * [simplify]: Extracting # 2 : cost 0 10.432 * * [simplify]: Extracting # 3 : cost 0 10.433 * * [simplify]: Extracting # 4 : cost 0 10.435 * * [simplify]: iteration 1 : 570 enodes (cost 2317 ) 10.877 * * [simplify]: Extracting # 0 : cost 0 10.891 * * [simplify]: Extracting # 1 : cost 0 10.901 * * [simplify]: Extracting # 2 : cost 0 10.909 * * [simplify]: Extracting # 3 : cost 0 10.917 * * [simplify]: Extracting # 4 : cost 0 10.924 * * [simplify]: iteration 2 : 2893 enodes (cost 1741 ) 12.444 * * [simplify]: Extracting # 0 : cost 0 12.462 * * [simplify]: Extracting # 1 : cost 0 12.475 * * [simplify]: Extracting # 2 : cost 0 12.487 * * [simplify]: Extracting # 3 : cost 0 12.509 * * [simplify]: Extracting # 4 : cost 0 12.522 * * [simplify]: iteration done: 5000 enodes (cost 1549 ) 12.523 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* 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(* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))) (+ (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3)))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))) (- im re) 0 (* -2 re) 12.525 * * * [progress]: adding candidates to table 13.247 * [progress]: [Phase 3 of 3] Extracting. 13.247 * * [regime]: Finding splitpoints for: (# # # # # # # #) 13.250 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 13.250 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 13.385 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 13.464 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 13.630 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 13.771 * * * [regime]: Found split indices: #