0.914 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.132 * * * [progress]: [2/2] Setting up program. 0.139 * [progress]: [Phase 2 of 3] Improving. 0.143 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.144 * * [simplify]: Extracting # 0 : cost 0 0.145 * * [simplify]: Extracting # 1 : cost 0 0.145 * * [simplify]: Extracting # 2 : cost 0 0.145 * * [simplify]: Extracting # 3 : cost 0 0.146 * * [simplify]: Extracting # 4 : cost 0 0.146 * * [simplify]: Extracting # 5 : cost 0 0.146 * * [simplify]: Extracting # 6 : cost 0 0.146 * * [simplify]: Extracting # 7 : cost 0 0.146 * * [simplify]: Extracting # 8 : cost 0 0.146 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.191 * * [simplify]: Extracting # 0 : cost 0 0.191 * * [simplify]: Extracting # 1 : cost 0 0.191 * * [simplify]: Extracting # 2 : cost 0 0.191 * * [simplify]: iteration 1 : 18 enodes (cost 15 ) 0.195 * * [simplify]: Extracting # 0 : cost 0 0.195 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.195 * * [simplify]: iteration 2 : 26 enodes (cost 15 ) 0.201 * * [simplify]: Extracting # 0 : cost 0 0.201 * * [simplify]: Extracting # 1 : cost 0 0.201 * * [simplify]: Extracting # 2 : cost 0 0.201 * * [simplify]: iteration 3 : 32 enodes (cost 15 ) 0.207 * * [simplify]: Extracting # 0 : cost 0 0.207 * * [simplify]: Extracting # 1 : cost 0 0.207 * * [simplify]: Extracting # 2 : cost 0 0.207 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.213 * * [simplify]: Extracting # 0 : cost 0 0.213 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.213 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.216 * * [progress]: iteration 1 / 4 0.216 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked # 0.222 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.273 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.366 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.375 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.412 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.413 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.413 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.413 * [taylor]: Taking taylor expansion of re in im 0.414 * [backup-simplify]: Simplify re into re 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.418 * [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 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.420 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [backup-simplify]: Simplify im into im 0.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.420 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.421 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.421 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.421 * [taylor]: Taking taylor expansion of re in re 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.421 * [taylor]: Taking taylor expansion of im in re 0.421 * [backup-simplify]: Simplify im into im 0.421 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.421 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.421 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.421 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.422 * [taylor]: Taking taylor expansion of im in im 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in im 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.424 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.424 * [taylor]: Taking taylor expansion of 1/2 in im 0.424 * [backup-simplify]: Simplify 1/2 into 1/2 0.424 * [taylor]: Taking taylor expansion of im in im 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.427 * [taylor]: Taking taylor expansion of 0 in im 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.429 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.429 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.429 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [backup-simplify]: Simplify re into re 0.430 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.430 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.430 * [backup-simplify]: Simplify (sqrt 1) into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.432 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.432 * [taylor]: Taking taylor expansion of im in re 0.432 * [backup-simplify]: Simplify im into im 0.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.433 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.433 * [taylor]: Taking taylor expansion of re in re 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 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (+ 0 1) into 1 0.434 * [backup-simplify]: Simplify (sqrt 1) into 1 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.435 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.435 * [taylor]: Taking taylor expansion of im in re 0.435 * [backup-simplify]: Simplify im into im 0.435 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.436 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.436 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (sqrt 1) into 1 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.438 * [taylor]: Taking taylor expansion of 1 in im 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of 0 in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.441 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.441 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.441 * [taylor]: Taking taylor expansion of 1/2 in im 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.441 * [taylor]: Taking taylor expansion of im in im 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.447 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.447 * [taylor]: Taking taylor expansion of im in im 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.447 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.447 * [taylor]: Taking taylor expansion of re in im 0.447 * [backup-simplify]: Simplify re into re 0.447 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.447 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.448 * [backup-simplify]: Simplify (+ 1 0) into 1 0.448 * [backup-simplify]: Simplify (sqrt 1) into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.450 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.450 * [taylor]: Taking taylor expansion of im in re 0.450 * [backup-simplify]: Simplify im into im 0.450 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.450 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.450 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (+ 0 1) into 1 0.451 * [backup-simplify]: Simplify (sqrt 1) into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.453 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.453 * [taylor]: Taking taylor expansion of im in re 0.453 * [backup-simplify]: Simplify im into im 0.453 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.453 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.453 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.453 * [taylor]: Taking taylor expansion of re in re 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ 0 1) into 1 0.454 * [backup-simplify]: Simplify (sqrt 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.456 * [taylor]: Taking taylor expansion of 1 in im 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.458 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.458 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.458 * [taylor]: Taking taylor expansion of 1/2 in im 0.458 * [backup-simplify]: Simplify 1/2 into 1/2 0.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.458 * [taylor]: Taking taylor expansion of im in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in im 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.463 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.464 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.464 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.464 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.464 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.464 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.464 * [taylor]: Taking taylor expansion of re in im 0.464 * [backup-simplify]: Simplify re into re 0.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.464 * [taylor]: Taking taylor expansion of im in im 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.464 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.464 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.464 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [backup-simplify]: Simplify re into re 0.465 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.465 * [backup-simplify]: Simplify im into im 0.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.465 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.465 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.465 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.466 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [backup-simplify]: Simplify im into im 0.466 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.466 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.466 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.467 * [taylor]: Taking taylor expansion of re in re 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ im 0) into im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (- 1) into -1 0.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.468 * [taylor]: Taking taylor expansion of -1 in im 0.468 * [backup-simplify]: Simplify -1 into -1 0.468 * [backup-simplify]: Simplify -1 into -1 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.469 * [taylor]: Taking taylor expansion of 1/2 in im 0.469 * [backup-simplify]: Simplify 1/2 into 1/2 0.469 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.469 * [taylor]: Taking taylor expansion of im in im 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.474 * [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)) 0.474 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.474 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.475 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.475 * [taylor]: Taking taylor expansion of im in im 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.475 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.475 * [taylor]: Taking taylor expansion of re in im 0.475 * [backup-simplify]: Simplify re into re 0.475 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.476 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.476 * [backup-simplify]: Simplify (+ 1 0) into 1 0.476 * [backup-simplify]: Simplify (sqrt 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.478 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 0.478 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.478 * [backup-simplify]: Simplify im into im 0.478 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.478 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (+ 0 1) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.482 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.482 * [taylor]: Taking taylor expansion of im in re 0.482 * [backup-simplify]: Simplify im into im 0.482 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.482 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.482 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [backup-simplify]: Simplify (+ 0 1) into 1 0.483 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (- 1) into -1 0.485 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.485 * [taylor]: Taking taylor expansion of 0 in im 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in im 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.488 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.490 * [taylor]: Taking taylor expansion of 1/2 in im 0.490 * [backup-simplify]: Simplify 1/2 into 1/2 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [taylor]: Taking taylor expansion of 0 in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [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))))) 0.502 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.502 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.502 * [taylor]: Taking taylor expansion of re in im 0.502 * [backup-simplify]: Simplify re into re 0.502 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.502 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.502 * [taylor]: Taking taylor expansion of im in im 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.503 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.503 * [taylor]: Taking taylor expansion of re in im 0.503 * [backup-simplify]: Simplify re into re 0.503 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (sqrt 1) into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.508 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.508 * [taylor]: Taking taylor expansion of im in re 0.508 * [backup-simplify]: Simplify im into im 0.508 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.509 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.511 * [backup-simplify]: Simplify (sqrt 1) into 1 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.514 * [taylor]: Taking taylor expansion of re in re 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.514 * [taylor]: Taking taylor expansion of im in re 0.514 * [backup-simplify]: Simplify im into im 0.514 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.515 * [taylor]: Taking taylor expansion of re in re 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (sqrt 1) into 1 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.520 * [backup-simplify]: Simplify (+ 1 1) into 2 0.520 * [taylor]: Taking taylor expansion of 2 in im 0.520 * [backup-simplify]: Simplify 2 into 2 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [taylor]: Taking taylor expansion of 0 in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 2 into 2 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.526 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.526 * [taylor]: Taking taylor expansion of 1/2 in im 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.526 * [taylor]: Taking taylor expansion of im in im 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in im 0.535 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.543 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.543 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.543 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.543 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.543 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.543 * [taylor]: Taking taylor expansion of re in im 0.543 * [backup-simplify]: Simplify re into re 0.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.543 * [taylor]: Taking taylor expansion of im in im 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.543 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [backup-simplify]: Simplify im into im 0.544 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [backup-simplify]: Simplify im into im 0.544 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.544 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.544 * [taylor]: Taking taylor expansion of im in im 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [taylor]: Taking taylor expansion of 0 in im 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.546 * [backup-simplify]: Simplify (+ 1 0) into 1 0.547 * [taylor]: Taking taylor expansion of 1 in im 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in im 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [taylor]: Taking taylor expansion of 0 in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.553 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.554 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.554 * [taylor]: Taking taylor expansion of im in im 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.555 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.555 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.555 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [backup-simplify]: Simplify im into im 0.555 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.555 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.555 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.556 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.556 * [taylor]: Taking taylor expansion of im in re 0.556 * [backup-simplify]: Simplify im into im 0.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.557 * [taylor]: Taking taylor expansion of re in re 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify (+ 0 1) into 1 0.558 * [taylor]: Taking taylor expansion of 1 in im 0.558 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [taylor]: Taking taylor expansion of 0 in im 0.561 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.564 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.564 * [taylor]: Taking taylor expansion of im in im 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [taylor]: Taking taylor expansion of 0 in im 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.577 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.577 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.577 * [taylor]: Taking taylor expansion of im in im 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.578 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.578 * [taylor]: Taking taylor expansion of re in im 0.578 * [backup-simplify]: Simplify re into re 0.578 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.578 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 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 0.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.579 * [taylor]: Taking taylor expansion of re in re 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.580 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.580 * [taylor]: Taking taylor expansion of im in re 0.580 * [backup-simplify]: Simplify im into im 0.580 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.580 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.580 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.580 * [taylor]: Taking taylor expansion of re in re 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [backup-simplify]: Simplify (+ 0 1) into 1 0.581 * [taylor]: Taking taylor expansion of 1 in im 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [taylor]: Taking taylor expansion of 0 in im 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.586 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.586 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [taylor]: Taking taylor expansion of 0 in im 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [taylor]: Taking taylor expansion of 0 in im 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.598 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.598 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.598 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.598 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.598 * [taylor]: Taking taylor expansion of 2.0 in im 0.598 * [backup-simplify]: Simplify 2.0 into 2.0 0.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.600 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.600 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.600 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.600 * [taylor]: Taking taylor expansion of re in im 0.600 * [backup-simplify]: Simplify re into re 0.600 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.600 * [taylor]: Taking taylor expansion of im in im 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.600 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.601 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.601 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.601 * [taylor]: Taking taylor expansion of re in im 0.601 * [backup-simplify]: Simplify re into re 0.601 * [backup-simplify]: Simplify (- re) into (- re) 0.601 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.603 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (+ 0 1) into 1 0.604 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.605 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.605 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.607 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.607 * [taylor]: Taking taylor expansion of 2.0 in re 0.607 * [backup-simplify]: Simplify 2.0 into 2.0 0.608 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.609 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.609 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.609 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.609 * [taylor]: Taking taylor expansion of re in re 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.609 * [taylor]: Taking taylor expansion of im in re 0.609 * [backup-simplify]: Simplify im into im 0.609 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.609 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.609 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.609 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.610 * [taylor]: Taking taylor expansion of re in re 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ im 0) into im 0.611 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.611 * [backup-simplify]: Simplify (- 1) into -1 0.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.611 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.611 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.612 * [taylor]: Taking taylor expansion of 2.0 in re 0.612 * [backup-simplify]: Simplify 2.0 into 2.0 0.612 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.613 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.613 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.613 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.613 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.613 * [taylor]: Taking taylor expansion of re in re 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.613 * [taylor]: Taking taylor expansion of im in re 0.613 * [backup-simplify]: Simplify im into im 0.613 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.613 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ im 0) into im 0.615 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.615 * [backup-simplify]: Simplify (- 1) into -1 0.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.615 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.616 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.616 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.616 * [taylor]: Taking taylor expansion of 2.0 in im 0.616 * [backup-simplify]: Simplify 2.0 into 2.0 0.616 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.617 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.617 * [taylor]: Taking taylor expansion of im in im 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (sqrt 0) into 0 0.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.621 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.623 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.623 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.623 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.623 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.624 * [taylor]: Taking taylor expansion of 1/2 in im 0.624 * [backup-simplify]: Simplify 1/2 into 1/2 0.624 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.624 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.624 * [taylor]: Taking taylor expansion of 2.0 in im 0.624 * [backup-simplify]: Simplify 2.0 into 2.0 0.624 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.625 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [backup-simplify]: Simplify (sqrt 0) into 0 0.627 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.635 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.637 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.637 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.643 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.644 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.646 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.648 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.649 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.652 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.653 * [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)))) 0.653 * [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 0.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.653 * [taylor]: Taking taylor expansion of 2.0 in im 0.653 * [backup-simplify]: Simplify 2.0 into 2.0 0.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.654 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.654 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.654 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.654 * [taylor]: Taking taylor expansion of re in im 0.654 * [backup-simplify]: Simplify re into re 0.654 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.654 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.655 * [backup-simplify]: Simplify (+ 1 0) into 1 0.655 * [backup-simplify]: Simplify (sqrt 1) into 1 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.656 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.656 * [taylor]: Taking taylor expansion of re in im 0.657 * [backup-simplify]: Simplify re into re 0.657 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.657 * [backup-simplify]: Simplify (sqrt 0) into 0 0.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.658 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.658 * [taylor]: Taking taylor expansion of 2.0 in re 0.658 * [backup-simplify]: Simplify 2.0 into 2.0 0.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.659 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.659 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.659 * [backup-simplify]: Simplify im into im 0.659 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.659 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [backup-simplify]: Simplify (+ 0 1) into 1 0.660 * [backup-simplify]: Simplify (sqrt 1) into 1 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.662 * [taylor]: Taking taylor expansion of re in re 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [backup-simplify]: Simplify (- 1) into -1 0.662 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (- 0) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.665 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.666 * [backup-simplify]: Simplify (sqrt 0) into 0 0.667 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.667 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.667 * [taylor]: Taking taylor expansion of 2.0 in re 0.667 * [backup-simplify]: Simplify 2.0 into 2.0 0.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.668 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.668 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [backup-simplify]: Simplify im into im 0.668 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (* 1 1) into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (+ 0 1) into 1 0.669 * [backup-simplify]: Simplify (sqrt 1) into 1 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (- 1) into -1 0.672 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.678 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.680 * [backup-simplify]: Simplify (sqrt 0) into 0 0.681 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.681 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.681 * [taylor]: Taking taylor expansion of 0 in im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.683 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.683 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.683 * [taylor]: Taking taylor expansion of +nan.0 in im 0.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.683 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.683 * [taylor]: Taking taylor expansion of 2.0 in im 0.683 * [backup-simplify]: Simplify 2.0 into 2.0 0.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.696 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.697 * [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)))) 0.697 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.697 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.697 * [taylor]: Taking taylor expansion of +nan.0 in im 0.697 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.697 * [taylor]: Taking taylor expansion of 2.0 in im 0.697 * [backup-simplify]: Simplify 2.0 into 2.0 0.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.698 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (* 1 1) into 1 0.699 * [backup-simplify]: Simplify (* 1 1) into 1 0.700 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) 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 0.719 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.727 * [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)))))) 0.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.730 * [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)))))) 0.730 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.730 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.730 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.730 * [taylor]: Taking taylor expansion of +nan.0 in im 0.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.730 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.730 * [taylor]: Taking taylor expansion of 2.0 in im 0.730 * [backup-simplify]: Simplify 2.0 into 2.0 0.731 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.731 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (* 1 1) into 1 0.732 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.733 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.733 * [taylor]: Taking taylor expansion of +nan.0 in im 0.733 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.733 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.733 * [taylor]: Taking taylor expansion of 2.0 in im 0.733 * [backup-simplify]: Simplify 2.0 into 2.0 0.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.735 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.773 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.773 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.774 * [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))))))) 0.774 * [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 0.774 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.774 * [taylor]: Taking taylor expansion of 2.0 in im 0.774 * [backup-simplify]: Simplify 2.0 into 2.0 0.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [backup-simplify]: Simplify re into re 0.775 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (* 1 1) into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.775 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.776 * [backup-simplify]: Simplify re into re 0.776 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.776 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.776 * [backup-simplify]: Simplify (+ 1 0) into 1 0.776 * [backup-simplify]: Simplify (sqrt 1) into 1 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 1) into 1 0.778 * [backup-simplify]: Simplify (sqrt 0) into 0 0.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.779 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.779 * [taylor]: Taking taylor expansion of 2.0 in re 0.779 * [backup-simplify]: Simplify 2.0 into 2.0 0.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.781 * [taylor]: Taking taylor expansion of im in re 0.781 * [backup-simplify]: Simplify im into im 0.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.781 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.781 * [taylor]: Taking taylor expansion of re in re 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* 1 1) into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [backup-simplify]: Simplify (+ 0 1) into 1 0.782 * [backup-simplify]: Simplify (sqrt 1) into 1 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.784 * [backup-simplify]: Simplify (+ 1 1) into 2 0.784 * [backup-simplify]: Simplify (sqrt 0) into 0 0.785 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.785 * [taylor]: Taking taylor expansion of 2.0 in re 0.785 * [backup-simplify]: Simplify 2.0 into 2.0 0.785 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.786 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.786 * [taylor]: Taking taylor expansion of im in re 0.786 * [backup-simplify]: Simplify im into im 0.786 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.786 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* 1 1) into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [backup-simplify]: Simplify (+ 0 1) into 1 0.787 * [backup-simplify]: Simplify (sqrt 1) into 1 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.789 * [backup-simplify]: Simplify (+ 1 1) into 2 0.789 * [backup-simplify]: Simplify (sqrt 0) into 0 0.790 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.790 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.790 * [taylor]: Taking taylor expansion of 0 in im 0.790 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.792 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.792 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.792 * [taylor]: Taking taylor expansion of +nan.0 in im 0.792 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.792 * [backup-simplify]: Simplify 2.0 into 2.0 0.792 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.798 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.800 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.800 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.800 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.800 * [taylor]: Taking taylor expansion of +nan.0 in im 0.800 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.800 * [taylor]: Taking taylor expansion of 2.0 in im 0.800 * [backup-simplify]: Simplify 2.0 into 2.0 0.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.802 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.804 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.809 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.809 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.814 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.814 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.817 * [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)) 0.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.820 * [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))))) 0.820 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.820 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.820 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.820 * [taylor]: Taking taylor expansion of +nan.0 in im 0.820 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.820 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.820 * [taylor]: Taking taylor expansion of 2.0 in im 0.820 * [backup-simplify]: Simplify 2.0 into 2.0 0.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.823 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.823 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.823 * [taylor]: Taking taylor expansion of +nan.0 in im 0.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.823 * [taylor]: Taking taylor expansion of 2.0 in im 0.823 * [backup-simplify]: Simplify 2.0 into 2.0 0.823 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (- 0) into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.830 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.832 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.833 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [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))) 0.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.841 * [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))))) 0.841 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.841 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.841 * [taylor]: Taking taylor expansion of +nan.0 in im 0.841 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.841 * [taylor]: Taking taylor expansion of 2.0 in im 0.841 * [backup-simplify]: Simplify 2.0 into 2.0 0.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.842 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.842 * [taylor]: Taking taylor expansion of +nan.0 in im 0.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.843 * [taylor]: Taking taylor expansion of 2.0 in im 0.843 * [backup-simplify]: Simplify 2.0 into 2.0 0.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.848 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.849 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.851 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.852 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.853 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.856 * [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))))))) 0.856 * * * [progress]: simplifying candidates 0.857 * [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))) (- 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) (* (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)) (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)))) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (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 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.859 * * [simplify]: Extracting # 0 : cost 0 0.859 * * [simplify]: Extracting # 1 : cost 0 0.859 * * [simplify]: Extracting # 2 : cost 0 0.859 * * [simplify]: Extracting # 3 : cost 0 0.859 * * [simplify]: Extracting # 4 : cost 0 0.859 * * [simplify]: Extracting # 5 : cost 0 0.860 * * [simplify]: Extracting # 6 : cost 0 0.860 * * [simplify]: Extracting # 7 : cost 0 0.860 * * [simplify]: Extracting # 8 : cost 0 0.860 * * [simplify]: Extracting # 9 : cost 0 0.860 * * [simplify]: Extracting # 10 : cost 0 0.860 * * [simplify]: Extracting # 11 : cost 0 0.861 * * [simplify]: iteration 0 : 114 enodes (cost 942 ) 0.919 * * [simplify]: Extracting # 0 : cost 0 0.920 * * [simplify]: Extracting # 1 : cost 0 0.921 * * [simplify]: Extracting # 2 : cost 0 0.921 * * [simplify]: Extracting # 3 : cost 0 0.922 * * [simplify]: Extracting # 4 : cost 0 0.922 * * [simplify]: Extracting # 5 : cost 0 0.923 * * [simplify]: iteration 1 : 528 enodes (cost 815 ) 2.216 * * [simplify]: Extracting # 0 : cost 0 2.228 * * [simplify]: Extracting # 1 : cost 0 2.247 * * [simplify]: Extracting # 2 : cost 0 2.260 * * [simplify]: Extracting # 3 : cost 0 2.273 * * [simplify]: Extracting # 4 : cost 0 2.285 * * [simplify]: Extracting # 5 : cost 0 2.298 * * [simplify]: iteration done: 5000 enodes (cost 764 ) 2.299 * [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 (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (pow im (* 2 2)))) (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)) (+ (+ (* im im) (* re (+ (sqrt (+ (* re re) (* im im))) re))) (* re re)) (- 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) (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 (* re re) 3) (pow (* im im) 3)) (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re)) (- (* (pow re 3) re) (pow im (* 2 2))) (- (* re re) (* im im)) (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 (+ (+ (* im im) (* re (+ (sqrt (+ (* re re) (* im im))) re))) (* re re))) (sqrt (* 2.0 (- (+ (* 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)))) im re (- re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (* (* (- +nan.0) (sqrt 2.0)) (- (* im im) (+ im (- (* im re))))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 2.300 * * * [progress]: adding candidates to table 2.592 * * [progress]: iteration 2 / 4 2.592 * * * [progress]: picking best candidate 2.644 * * * * [pick]: Picked # 2.644 * * * [progress]: localizing error 2.672 * * * [progress]: generating rewritten candidates 2.672 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.680 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.690 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.741 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 2.830 * * * [progress]: generating series expansions 2.831 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.831 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.831 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.831 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.831 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.831 * [taylor]: Taking taylor expansion of re in im 2.831 * [backup-simplify]: Simplify re into re 2.831 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.831 * [taylor]: Taking taylor expansion of im in im 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.831 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.831 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.831 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.832 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.832 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.832 * [taylor]: Taking taylor expansion of re in re 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.832 * [taylor]: Taking taylor expansion of im in re 2.832 * [backup-simplify]: Simplify im into im 2.832 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.832 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.833 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.833 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.833 * [taylor]: Taking taylor expansion of re in re 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.833 * [taylor]: Taking taylor expansion of im in re 2.833 * [backup-simplify]: Simplify im into im 2.833 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.833 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.833 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.833 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.834 * [taylor]: Taking taylor expansion of im in im 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [taylor]: Taking taylor expansion of 0 in im 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.834 * [backup-simplify]: Simplify (+ 1 0) into 1 2.835 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.835 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.835 * [taylor]: Taking taylor expansion of 1/2 in im 2.835 * [backup-simplify]: Simplify 1/2 into 1/2 2.835 * [taylor]: Taking taylor expansion of im in im 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.837 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.837 * [taylor]: Taking taylor expansion of 0 in im 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.838 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.838 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.838 * [taylor]: Taking taylor expansion of im in im 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.839 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.839 * [taylor]: Taking taylor expansion of re in im 2.839 * [backup-simplify]: Simplify re into re 2.839 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.839 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.839 * [backup-simplify]: Simplify (+ 1 0) into 1 2.840 * [backup-simplify]: Simplify (sqrt 1) into 1 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.841 * [taylor]: Taking taylor expansion of im in re 2.841 * [backup-simplify]: Simplify im into im 2.841 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.841 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.841 * [taylor]: Taking taylor expansion of re in re 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [backup-simplify]: Simplify (+ 0 1) into 1 2.842 * [backup-simplify]: Simplify (sqrt 1) into 1 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.844 * [taylor]: Taking taylor expansion of im in re 2.844 * [backup-simplify]: Simplify im into im 2.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.844 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.845 * [taylor]: Taking taylor expansion of re in re 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (* 1 1) into 1 2.845 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [backup-simplify]: Simplify (+ 0 1) into 1 2.846 * [backup-simplify]: Simplify (sqrt 1) into 1 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.847 * [taylor]: Taking taylor expansion of 1 in im 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [taylor]: Taking taylor expansion of 0 in im 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.849 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.849 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.849 * [taylor]: Taking taylor expansion of 1/2 in im 2.849 * [backup-simplify]: Simplify 1/2 into 1/2 2.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.849 * [taylor]: Taking taylor expansion of im in im 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (* 1 1) into 1 2.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ 0 0) into 0 2.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.853 * [taylor]: Taking taylor expansion of 0 in im 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.855 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.855 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.856 * [taylor]: Taking taylor expansion of im in im 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (* 1 1) into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.856 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.856 * [taylor]: Taking taylor expansion of re in im 2.856 * [backup-simplify]: Simplify re into re 2.857 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.857 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.857 * [backup-simplify]: Simplify (+ 1 0) into 1 2.858 * [backup-simplify]: Simplify (sqrt 1) into 1 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.860 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.860 * [taylor]: Taking taylor expansion of im in re 2.860 * [backup-simplify]: Simplify im into im 2.860 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.860 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.860 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.860 * [taylor]: Taking taylor expansion of re in re 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* 1 1) into 1 2.861 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [backup-simplify]: Simplify (+ 0 1) into 1 2.862 * [backup-simplify]: Simplify (sqrt 1) into 1 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.865 * [taylor]: Taking taylor expansion of im in re 2.865 * [backup-simplify]: Simplify im into im 2.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.865 * [taylor]: Taking taylor expansion of re in re 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.866 * [backup-simplify]: Simplify (+ 0 1) into 1 2.866 * [backup-simplify]: Simplify (sqrt 1) into 1 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ 0 0) into 0 2.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.868 * [taylor]: Taking taylor expansion of 1 in im 2.868 * [backup-simplify]: Simplify 1 into 1 2.868 * [taylor]: Taking taylor expansion of 0 in im 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.870 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.870 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.870 * [taylor]: Taking taylor expansion of 1/2 in im 2.870 * [backup-simplify]: Simplify 1/2 into 1/2 2.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.870 * [taylor]: Taking taylor expansion of im in im 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify (* 1 1) into 1 2.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (+ 0 0) into 0 2.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.874 * [taylor]: Taking taylor expansion of 0 in im 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.875 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.875 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.875 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.875 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.875 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.875 * [taylor]: Taking taylor expansion of re in im 2.875 * [backup-simplify]: Simplify re into re 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 (* re re) into (pow re 2) 2.876 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.876 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.876 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.876 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.876 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.876 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.876 * [taylor]: Taking taylor expansion of re in re 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.876 * [taylor]: Taking taylor expansion of im in re 2.876 * [backup-simplify]: Simplify im into im 2.876 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.876 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.876 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.876 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.877 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.877 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.877 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.877 * [taylor]: Taking taylor expansion of re in re 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.877 * [taylor]: Taking taylor expansion of im in re 2.877 * [backup-simplify]: Simplify im into im 2.877 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.877 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.877 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.877 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.878 * [taylor]: Taking taylor expansion of im in im 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [taylor]: Taking taylor expansion of 0 in im 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.878 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.879 * [backup-simplify]: Simplify (+ 1 0) into 1 2.879 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.879 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.879 * [taylor]: Taking taylor expansion of 1/2 in im 2.879 * [backup-simplify]: Simplify 1/2 into 1/2 2.879 * [taylor]: Taking taylor expansion of im in im 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.881 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.881 * [taylor]: Taking taylor expansion of 0 in im 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.882 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.882 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.882 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 (* 1 1) into 1 2.883 * [backup-simplify]: Simplify (/ 1 1) into 1 2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.883 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* re re) into (pow re 2) 2.883 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.883 * [backup-simplify]: Simplify (+ 1 0) into 1 2.884 * [backup-simplify]: Simplify (sqrt 1) into 1 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.885 * [taylor]: Taking taylor expansion of im in re 2.885 * [backup-simplify]: Simplify im into im 2.885 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.885 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.886 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.886 * [taylor]: Taking taylor expansion of re in re 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [backup-simplify]: Simplify (+ 0 1) into 1 2.887 * [backup-simplify]: Simplify (sqrt 1) into 1 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.888 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.888 * [taylor]: Taking taylor expansion of im in re 2.888 * [backup-simplify]: Simplify im into im 2.888 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.888 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.888 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.888 * [taylor]: Taking taylor expansion of re in re 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (* 1 1) into 1 2.889 * [backup-simplify]: Simplify (/ 1 1) into 1 2.889 * [backup-simplify]: Simplify (+ 0 1) into 1 2.889 * [backup-simplify]: Simplify (sqrt 1) into 1 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.891 * [taylor]: Taking taylor expansion of 1 in im 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [taylor]: Taking taylor expansion of 0 in im 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.893 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.893 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.893 * [taylor]: Taking taylor expansion of 1/2 in im 2.893 * [backup-simplify]: Simplify 1/2 into 1/2 2.893 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.893 * [taylor]: Taking taylor expansion of im in im 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (* 1 1) into 1 2.894 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.900 * [taylor]: Taking taylor expansion of 0 in im 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.902 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.902 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.903 * [taylor]: Taking taylor expansion of im in im 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.903 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.904 * [taylor]: Taking taylor expansion of re in im 2.904 * [backup-simplify]: Simplify re into re 2.904 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.904 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.904 * [backup-simplify]: Simplify (+ 1 0) into 1 2.905 * [backup-simplify]: Simplify (sqrt 1) into 1 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.907 * [taylor]: Taking taylor expansion of im in re 2.907 * [backup-simplify]: Simplify im into im 2.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.908 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.908 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.908 * [taylor]: Taking taylor expansion of re in re 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (* 1 1) into 1 2.909 * [backup-simplify]: Simplify (/ 1 1) into 1 2.909 * [backup-simplify]: Simplify (+ 0 1) into 1 2.909 * [backup-simplify]: Simplify (sqrt 1) into 1 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.912 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.912 * [taylor]: Taking taylor expansion of im in re 2.912 * [backup-simplify]: Simplify im into im 2.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.912 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.913 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.913 * [taylor]: Taking taylor expansion of re in re 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [backup-simplify]: Simplify (+ 0 1) into 1 2.914 * [backup-simplify]: Simplify (sqrt 1) into 1 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.917 * [taylor]: Taking taylor expansion of 1 in im 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [taylor]: Taking taylor expansion of 0 in im 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.920 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.920 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.921 * [taylor]: Taking taylor expansion of 1/2 in im 2.921 * [backup-simplify]: Simplify 1/2 into 1/2 2.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.921 * [taylor]: Taking taylor expansion of im in im 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (* 1 1) into 1 2.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.926 * [taylor]: Taking taylor expansion of 0 in im 2.926 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.929 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 2.929 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.929 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.929 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.929 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.930 * [taylor]: Taking taylor expansion of re in im 2.930 * [backup-simplify]: Simplify re into re 2.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.930 * [taylor]: Taking taylor expansion of im in im 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.930 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.930 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.930 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.931 * [taylor]: Taking taylor expansion of re in im 2.931 * [backup-simplify]: Simplify re into re 2.931 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.931 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.931 * [taylor]: Taking taylor expansion of re in re 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.931 * [taylor]: Taking taylor expansion of im in re 2.931 * [backup-simplify]: Simplify im into im 2.931 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.932 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.932 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.932 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.932 * [taylor]: Taking taylor expansion of re in re 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.933 * [taylor]: Taking taylor expansion of re in re 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.933 * [taylor]: Taking taylor expansion of im in re 2.933 * [backup-simplify]: Simplify im into im 2.933 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.933 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.933 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.933 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.934 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.934 * [taylor]: Taking taylor expansion of re in re 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (- 0) into 0 2.934 * [backup-simplify]: Simplify (+ im 0) into im 2.934 * [taylor]: Taking taylor expansion of im in im 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (- 1) into -1 2.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.935 * [taylor]: Taking taylor expansion of -1 in im 2.935 * [backup-simplify]: Simplify -1 into -1 2.935 * [backup-simplify]: Simplify -1 into -1 2.935 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (* 1 1) into 1 2.936 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.937 * [backup-simplify]: Simplify (+ 1 0) into 1 2.938 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.938 * [backup-simplify]: Simplify (- 0) into 0 2.938 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.938 * [taylor]: Taking taylor expansion of 1/2 in im 2.938 * [backup-simplify]: Simplify 1/2 into 1/2 2.938 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.938 * [taylor]: Taking taylor expansion of im in im 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.942 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [taylor]: Taking taylor expansion of 0 in im 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.947 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.947 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.947 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.947 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.947 * [taylor]: Taking taylor expansion of im in im 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.948 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.948 * [taylor]: Taking taylor expansion of re in im 2.948 * [backup-simplify]: Simplify re into re 2.948 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.948 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.949 * [backup-simplify]: Simplify (+ 1 0) into 1 2.949 * [backup-simplify]: Simplify (sqrt 1) into 1 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.952 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.952 * [taylor]: Taking taylor expansion of re in im 2.952 * [backup-simplify]: Simplify re into re 2.952 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.952 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.952 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.952 * [taylor]: Taking taylor expansion of im in re 2.952 * [backup-simplify]: Simplify im into im 2.952 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.952 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.952 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.952 * [taylor]: Taking taylor expansion of re in re 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (* 1 1) into 1 2.953 * [backup-simplify]: Simplify (/ 1 1) into 1 2.954 * [backup-simplify]: Simplify (+ 0 1) into 1 2.954 * [backup-simplify]: Simplify (sqrt 1) into 1 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.957 * [taylor]: Taking taylor expansion of re in re 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (/ 1 1) into 1 2.957 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.957 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.957 * [taylor]: Taking taylor expansion of im in re 2.957 * [backup-simplify]: Simplify im into im 2.957 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.957 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.958 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.958 * [taylor]: Taking taylor expansion of re in re 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (* 1 1) into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [backup-simplify]: Simplify (+ 0 1) into 1 2.959 * [backup-simplify]: Simplify (sqrt 1) into 1 2.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.962 * [taylor]: Taking taylor expansion of (/ 1 re) 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 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify (- 1) into -1 2.964 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.964 * [taylor]: Taking taylor expansion of 0 in im 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (- 0) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [taylor]: Taking taylor expansion of 0 in im 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.969 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (- 0) into 0 2.971 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.971 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.971 * [taylor]: Taking taylor expansion of 1/2 in im 2.971 * [backup-simplify]: Simplify 1/2 into 1/2 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.971 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.971 * [taylor]: Taking taylor expansion of im in im 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (- 0) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [taylor]: Taking taylor expansion of 0 in im 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.983 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.983 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.983 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.983 * [taylor]: Taking taylor expansion of re in im 2.983 * [backup-simplify]: Simplify re into re 2.983 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.984 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.984 * [taylor]: Taking taylor expansion of im in im 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.985 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.985 * [taylor]: Taking taylor expansion of re in im 2.985 * [backup-simplify]: Simplify re into re 2.985 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.985 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.986 * [backup-simplify]: Simplify (+ 1 0) into 1 2.986 * [backup-simplify]: Simplify (sqrt 1) into 1 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.988 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.989 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.989 * [taylor]: Taking taylor expansion of re in re 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.989 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.989 * [taylor]: Taking taylor expansion of im in re 2.989 * [backup-simplify]: Simplify im into im 2.989 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.989 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.990 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.990 * [taylor]: Taking taylor expansion of re in re 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (* 1 1) into 1 2.990 * [backup-simplify]: Simplify (/ 1 1) into 1 2.991 * [backup-simplify]: Simplify (+ 0 1) into 1 2.991 * [backup-simplify]: Simplify (sqrt 1) into 1 2.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.994 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.994 * [taylor]: Taking taylor expansion of re in re 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.995 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.995 * [taylor]: Taking taylor expansion of im in re 2.995 * [backup-simplify]: Simplify im into im 2.995 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.995 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.995 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.995 * [taylor]: Taking taylor expansion of re in re 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (* 1 1) into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [backup-simplify]: Simplify (+ 0 1) into 1 2.997 * [backup-simplify]: Simplify (sqrt 1) into 1 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.000 * [backup-simplify]: Simplify (+ 1 1) into 2 3.000 * [taylor]: Taking taylor expansion of 2 in im 3.000 * [backup-simplify]: Simplify 2 into 2 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [taylor]: Taking taylor expansion of 0 in im 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 2 into 2 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.005 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.006 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.006 * [taylor]: Taking taylor expansion of 1/2 in im 3.006 * [backup-simplify]: Simplify 1/2 into 1/2 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.006 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.006 * [taylor]: Taking taylor expansion of im in im 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [taylor]: Taking taylor expansion of 0 in im 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.013 * [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 3.013 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.014 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 3.014 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 3.014 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.014 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.014 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.014 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.014 * [taylor]: Taking taylor expansion of re in im 3.014 * [backup-simplify]: Simplify re into re 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 3.014 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.014 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.014 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.014 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.015 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.015 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.015 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.015 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.015 * [taylor]: Taking taylor expansion of re in re 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.015 * [taylor]: Taking taylor expansion of im in re 3.015 * [backup-simplify]: Simplify im into im 3.015 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.015 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.015 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.015 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.015 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.016 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.016 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.016 * [taylor]: Taking taylor expansion of re in re 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.016 * [taylor]: Taking taylor expansion of im in re 3.016 * [backup-simplify]: Simplify im into im 3.016 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.016 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.016 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.016 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.016 * [backup-simplify]: Simplify (+ 0 0) into 0 3.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.016 * [taylor]: Taking taylor expansion of im in im 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [taylor]: Taking taylor expansion of 0 in im 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (* 1 1) into 1 3.017 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.018 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.018 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.018 * [taylor]: Taking taylor expansion of 1/2 in im 3.018 * [backup-simplify]: Simplify 1/2 into 1/2 3.018 * [taylor]: Taking taylor expansion of im in im 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.020 * [taylor]: Taking taylor expansion of 0 in im 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.021 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.021 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.021 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.021 * [taylor]: Taking taylor expansion of im in im 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.022 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.022 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.022 * [taylor]: Taking taylor expansion of re in im 3.022 * [backup-simplify]: Simplify re into re 3.022 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.022 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.022 * [backup-simplify]: Simplify (+ 1 0) into 1 3.023 * [backup-simplify]: Simplify (sqrt 1) into 1 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.024 * [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 (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 3.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.024 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.024 * [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 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.025 * [backup-simplify]: Simplify (+ 0 1) into 1 3.026 * [backup-simplify]: Simplify (sqrt 1) into 1 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.027 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.027 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.027 * [taylor]: Taking taylor expansion of im in re 3.027 * [backup-simplify]: Simplify im into im 3.027 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.027 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.027 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.027 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.027 * [taylor]: Taking taylor expansion of re in re 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (* 1 1) into 1 3.028 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [backup-simplify]: Simplify (+ 0 1) into 1 3.028 * [backup-simplify]: Simplify (sqrt 1) into 1 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.030 * [taylor]: Taking taylor expansion of 1 in im 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [taylor]: Taking taylor expansion of 0 in im 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.032 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.032 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.033 * [taylor]: Taking taylor expansion of 1/2 in im 3.033 * [backup-simplify]: Simplify 1/2 into 1/2 3.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.033 * [taylor]: Taking taylor expansion of im in im 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (* 1 1) into 1 3.033 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.039 * [taylor]: Taking taylor expansion of 0 in im 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.040 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.040 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.040 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.040 * [taylor]: Taking taylor expansion of im in im 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (* 1 1) into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.041 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.041 * [taylor]: Taking taylor expansion of re in im 3.041 * [backup-simplify]: Simplify re into re 3.041 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.041 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.042 * [backup-simplify]: Simplify (+ 1 0) into 1 3.042 * [backup-simplify]: Simplify (sqrt 1) into 1 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.045 * [taylor]: Taking taylor expansion of im in re 3.045 * [backup-simplify]: Simplify im into im 3.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.045 * [taylor]: Taking taylor expansion of re in re 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (* 1 1) into 1 3.046 * [backup-simplify]: Simplify (/ 1 1) into 1 3.046 * [backup-simplify]: Simplify (+ 0 1) into 1 3.047 * [backup-simplify]: Simplify (sqrt 1) into 1 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.049 * [taylor]: Taking taylor expansion of im in re 3.049 * [backup-simplify]: Simplify im into im 3.049 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.050 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.050 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.050 * [taylor]: Taking taylor expansion of re in re 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (* 1 1) into 1 3.050 * [backup-simplify]: Simplify (/ 1 1) into 1 3.051 * [backup-simplify]: Simplify (+ 0 1) into 1 3.051 * [backup-simplify]: Simplify (sqrt 1) into 1 3.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.054 * [taylor]: Taking taylor expansion of 1 in im 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of 0 in im 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.057 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.057 * [taylor]: Taking taylor expansion of 1/2 in im 3.057 * [backup-simplify]: Simplify 1/2 into 1/2 3.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.057 * [taylor]: Taking taylor expansion of im in im 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (* 1 1) into 1 3.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.061 * [taylor]: Taking taylor expansion of 0 in im 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.062 * * * [progress]: simplifying candidates 3.065 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ 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im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 3.068 * * [simplify]: Extracting # 0 : cost 0 3.068 * * [simplify]: Extracting # 1 : cost 0 3.068 * * [simplify]: Extracting # 2 : cost 0 3.068 * * [simplify]: Extracting # 3 : cost 0 3.069 * * [simplify]: Extracting # 4 : cost 0 3.069 * * [simplify]: Extracting # 5 : cost 0 3.069 * * [simplify]: Extracting # 6 : cost 0 3.069 * * [simplify]: Extracting # 7 : cost 0 3.069 * * [simplify]: iteration 0 : 138 enodes (cost 3069 ) 9.477 * * [simplify]: Extracting # 0 : cost 0 9.503 * * [simplify]: Extracting # 1 : cost 0 9.518 * * [simplify]: Extracting # 2 : cost 0 9.535 * * [simplify]: Extracting # 3 : cost 0 9.549 * * [simplify]: Extracting # 4 : cost 0 9.562 * * [simplify]: Extracting # 5 : cost 0 9.575 * * [simplify]: iteration done: 5000 enodes (cost 1815 ) 9.577 * [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)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re))))) (sqrt (- (* re (pow re 3)) (* (* 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 (+ (* 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)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re))))) (sqrt (- (* re (pow re 3)) (* (* 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))) 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)) (+ (+ (* re re) (* im im)) (* re (+ re (sqrt (+ (* 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)) (- re) (* 2 1/2) (+ 1/2 (/ 1 2)) 2 (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) 1 (+ (/ (/ 1 2) 2) (/ 1/2 2)) (/ 1 2) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 2 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (* (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) (+ (* re re) (* im im)) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* re (pow re 3)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re)))))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (- (* re (pow re 3)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re))))))) (sqrt (- (* re (pow re 3)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1/2) 2 (* 2 (/ 1/2 2)) 1 (/ 1 2) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* re (pow re 3)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* re (pow re 3)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 9.579 * * * [progress]: adding candidates to table 10.058 * * [progress]: iteration 3 / 4 10.058 * * * [progress]: picking best candidate 10.089 * * * * [pick]: Picked # 10.089 * * * [progress]: localizing error 10.112 * * * [progress]: generating rewritten candidates 10.112 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1 1) 10.125 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 10.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 10.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 10.362 * * * [progress]: generating series expansions 10.362 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1 1) 10.362 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 10.362 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.362 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.362 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.362 * [taylor]: Taking taylor expansion of re in im 10.362 * [backup-simplify]: Simplify re into re 10.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.362 * [taylor]: Taking taylor expansion of im in im 10.363 * [backup-simplify]: Simplify 0 into 0 10.363 * [backup-simplify]: Simplify 1 into 1 10.363 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.363 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.363 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.363 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.364 * [backup-simplify]: Simplify (+ 0 0) into 0 10.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.364 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.364 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.364 * [taylor]: Taking taylor expansion of re in re 10.364 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.364 * [taylor]: Taking taylor expansion of im in re 10.364 * [backup-simplify]: Simplify im into im 10.364 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.365 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.365 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.365 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.365 * [backup-simplify]: Simplify (+ 0 0) into 0 10.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.366 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.366 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.366 * [taylor]: Taking taylor expansion of re in re 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 1 into 1 10.366 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.366 * [taylor]: Taking taylor expansion of im in re 10.366 * [backup-simplify]: Simplify im into im 10.366 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.366 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.366 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.367 * [backup-simplify]: Simplify (+ 0 0) into 0 10.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.367 * [taylor]: Taking taylor expansion of im in im 10.367 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify 1 into 1 10.367 * [backup-simplify]: Simplify 0 into 0 10.367 * [taylor]: Taking taylor expansion of 0 in im 10.367 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify 1 into 1 10.368 * [backup-simplify]: Simplify (* 1 1) into 1 10.368 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.369 * [backup-simplify]: Simplify (+ 1 0) into 1 10.370 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.370 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.370 * [taylor]: Taking taylor expansion of 1/2 in im 10.370 * [backup-simplify]: Simplify 1/2 into 1/2 10.370 * [taylor]: Taking taylor expansion of im in im 10.370 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify 1 into 1 10.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.371 * [backup-simplify]: Simplify 0 into 0 10.371 * [backup-simplify]: Simplify 0 into 0 10.371 * [backup-simplify]: Simplify 0 into 0 10.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.373 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.373 * [backup-simplify]: Simplify (+ 0 0) into 0 10.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.374 * [taylor]: Taking taylor expansion of 0 in im 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.376 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.376 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.376 * [taylor]: Taking taylor expansion of im in im 10.376 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify 1 into 1 10.377 * [backup-simplify]: Simplify (* 1 1) into 1 10.377 * [backup-simplify]: Simplify (/ 1 1) into 1 10.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.377 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.377 * [taylor]: Taking taylor expansion of re in im 10.377 * [backup-simplify]: Simplify re into re 10.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.378 * [backup-simplify]: Simplify (+ 1 0) into 1 10.379 * [backup-simplify]: Simplify (sqrt 1) into 1 10.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.381 * [backup-simplify]: Simplify (+ 0 0) into 0 10.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.382 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.382 * [taylor]: Taking taylor expansion of im in re 10.382 * [backup-simplify]: Simplify im into im 10.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.382 * [taylor]: Taking taylor expansion of re in re 10.382 * [backup-simplify]: Simplify 0 into 0 10.382 * [backup-simplify]: Simplify 1 into 1 10.382 * [backup-simplify]: Simplify (* 1 1) into 1 10.383 * [backup-simplify]: Simplify (/ 1 1) into 1 10.383 * [backup-simplify]: Simplify (+ 0 1) into 1 10.384 * [backup-simplify]: Simplify (sqrt 1) into 1 10.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.386 * [backup-simplify]: Simplify (+ 0 0) into 0 10.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.386 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.386 * [taylor]: Taking taylor expansion of im in re 10.386 * [backup-simplify]: Simplify im into im 10.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.387 * [taylor]: Taking taylor expansion of re in re 10.387 * [backup-simplify]: Simplify 0 into 0 10.387 * [backup-simplify]: Simplify 1 into 1 10.387 * [backup-simplify]: Simplify (* 1 1) into 1 10.388 * [backup-simplify]: Simplify (/ 1 1) into 1 10.388 * [backup-simplify]: Simplify (+ 0 1) into 1 10.389 * [backup-simplify]: Simplify (sqrt 1) into 1 10.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.390 * [backup-simplify]: Simplify (+ 0 0) into 0 10.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.392 * [taylor]: Taking taylor expansion of 1 in im 10.392 * [backup-simplify]: Simplify 1 into 1 10.392 * [taylor]: Taking taylor expansion of 0 in im 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify 1 into 1 10.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.394 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.396 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.396 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.396 * [taylor]: Taking taylor expansion of 1/2 in im 10.396 * [backup-simplify]: Simplify 1/2 into 1/2 10.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.396 * [taylor]: Taking taylor expansion of im in im 10.396 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify 1 into 1 10.396 * [backup-simplify]: Simplify (* 1 1) into 1 10.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.398 * [backup-simplify]: Simplify 0 into 0 10.398 * [backup-simplify]: Simplify 0 into 0 10.398 * [backup-simplify]: Simplify 0 into 0 10.398 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.400 * [backup-simplify]: Simplify (+ 0 0) into 0 10.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.400 * [taylor]: Taking taylor expansion of 0 in im 10.400 * [backup-simplify]: Simplify 0 into 0 10.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.401 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.402 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.402 * [taylor]: Taking taylor expansion of im in im 10.402 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify 1 into 1 10.402 * [backup-simplify]: Simplify (* 1 1) into 1 10.403 * [backup-simplify]: Simplify (/ 1 1) into 1 10.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.403 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.403 * [taylor]: Taking taylor expansion of re in im 10.403 * [backup-simplify]: Simplify re into re 10.403 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.403 * [backup-simplify]: Simplify (+ 1 0) into 1 10.403 * [backup-simplify]: Simplify (sqrt 1) into 1 10.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.404 * [backup-simplify]: Simplify (+ 0 0) into 0 10.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.405 * [taylor]: Taking taylor expansion of im in re 10.405 * [backup-simplify]: Simplify im into im 10.405 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.405 * [taylor]: Taking taylor expansion of re in re 10.405 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify 1 into 1 10.406 * [backup-simplify]: Simplify (* 1 1) into 1 10.406 * [backup-simplify]: Simplify (/ 1 1) into 1 10.406 * [backup-simplify]: Simplify (+ 0 1) into 1 10.406 * [backup-simplify]: Simplify (sqrt 1) into 1 10.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.407 * [backup-simplify]: Simplify (+ 0 0) into 0 10.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.408 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.408 * [taylor]: Taking taylor expansion of im in re 10.408 * [backup-simplify]: Simplify im into im 10.408 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.408 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.408 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.408 * [taylor]: Taking taylor expansion of re in re 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [backup-simplify]: Simplify 1 into 1 10.409 * [backup-simplify]: Simplify (* 1 1) into 1 10.409 * [backup-simplify]: Simplify (/ 1 1) into 1 10.409 * [backup-simplify]: Simplify (+ 0 1) into 1 10.409 * [backup-simplify]: Simplify (sqrt 1) into 1 10.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.410 * [backup-simplify]: Simplify (+ 0 0) into 0 10.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.411 * [taylor]: Taking taylor expansion of 1 in im 10.411 * [backup-simplify]: Simplify 1 into 1 10.411 * [taylor]: Taking taylor expansion of 0 in im 10.411 * [backup-simplify]: Simplify 0 into 0 10.411 * [backup-simplify]: Simplify 1 into 1 10.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.412 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.413 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.413 * [taylor]: Taking taylor expansion of 1/2 in im 10.413 * [backup-simplify]: Simplify 1/2 into 1/2 10.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.413 * [taylor]: Taking taylor expansion of im in im 10.413 * [backup-simplify]: Simplify 0 into 0 10.413 * [backup-simplify]: Simplify 1 into 1 10.414 * [backup-simplify]: Simplify (* 1 1) into 1 10.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.417 * [backup-simplify]: Simplify (+ 0 0) into 0 10.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.417 * [taylor]: Taking taylor expansion of 0 in im 10.417 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.418 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) 10.419 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 10.419 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.419 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.419 * [taylor]: Taking taylor expansion of re in im 10.419 * [backup-simplify]: Simplify re into re 10.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.419 * [taylor]: Taking taylor expansion of im in im 10.419 * [backup-simplify]: Simplify 0 into 0 10.419 * [backup-simplify]: Simplify 1 into 1 10.419 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.419 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.419 * [backup-simplify]: Simplify (+ 0 0) into 0 10.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.420 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.420 * [taylor]: Taking taylor expansion of re in re 10.420 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify 1 into 1 10.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.420 * [taylor]: Taking taylor expansion of im in re 10.420 * [backup-simplify]: Simplify im into im 10.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.420 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.420 * [backup-simplify]: Simplify (+ 0 0) into 0 10.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.420 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.421 * [taylor]: Taking taylor expansion of re in re 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 1 into 1 10.421 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.421 * [taylor]: Taking taylor expansion of im in re 10.421 * [backup-simplify]: Simplify im into im 10.421 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.421 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.421 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.421 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.421 * [backup-simplify]: Simplify (+ 0 0) into 0 10.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.421 * [taylor]: Taking taylor expansion of im in im 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 1 into 1 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [taylor]: Taking taylor expansion of 0 in im 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 0 into 0 10.422 * [backup-simplify]: Simplify 1 into 1 10.422 * [backup-simplify]: Simplify (* 1 1) into 1 10.422 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.422 * [backup-simplify]: Simplify (+ 1 0) into 1 10.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.423 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.423 * [taylor]: Taking taylor expansion of 1/2 in im 10.423 * [backup-simplify]: Simplify 1/2 into 1/2 10.423 * [taylor]: Taking taylor expansion of im in im 10.423 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify 1 into 1 10.423 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.425 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.425 * [backup-simplify]: Simplify (+ 0 0) into 0 10.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.425 * [taylor]: Taking taylor expansion of 0 in im 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.426 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.426 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.426 * [taylor]: Taking taylor expansion of im in im 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 1 into 1 10.427 * [backup-simplify]: Simplify (* 1 1) into 1 10.427 * [backup-simplify]: Simplify (/ 1 1) into 1 10.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.427 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.427 * [taylor]: Taking taylor expansion of re in im 10.427 * [backup-simplify]: Simplify re into re 10.427 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.427 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.427 * [backup-simplify]: Simplify (+ 1 0) into 1 10.428 * [backup-simplify]: Simplify (sqrt 1) into 1 10.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.433 * [backup-simplify]: Simplify (+ 0 0) into 0 10.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.433 * [taylor]: Taking taylor expansion of im in re 10.433 * [backup-simplify]: Simplify im into im 10.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.434 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.434 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.434 * [taylor]: Taking taylor expansion of re in re 10.434 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify 1 into 1 10.434 * [backup-simplify]: Simplify (* 1 1) into 1 10.434 * [backup-simplify]: Simplify (/ 1 1) into 1 10.434 * [backup-simplify]: Simplify (+ 0 1) into 1 10.435 * [backup-simplify]: Simplify (sqrt 1) into 1 10.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.436 * [backup-simplify]: Simplify (+ 0 0) into 0 10.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.436 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.436 * [taylor]: Taking taylor expansion of im in re 10.436 * [backup-simplify]: Simplify im into im 10.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.437 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.437 * [taylor]: Taking taylor expansion of re in re 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 1 into 1 10.437 * [backup-simplify]: Simplify (* 1 1) into 1 10.437 * [backup-simplify]: Simplify (/ 1 1) into 1 10.438 * [backup-simplify]: Simplify (+ 0 1) into 1 10.438 * [backup-simplify]: Simplify (sqrt 1) into 1 10.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.440 * [backup-simplify]: Simplify (+ 0 0) into 0 10.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.441 * [taylor]: Taking taylor expansion of 1 in im 10.441 * [backup-simplify]: Simplify 1 into 1 10.441 * [taylor]: Taking taylor expansion of 0 in im 10.441 * [backup-simplify]: Simplify 0 into 0 10.441 * [backup-simplify]: Simplify 1 into 1 10.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.443 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.444 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.444 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.444 * [taylor]: Taking taylor expansion of 1/2 in im 10.444 * [backup-simplify]: Simplify 1/2 into 1/2 10.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.445 * [taylor]: Taking taylor expansion of im in im 10.445 * [backup-simplify]: Simplify 0 into 0 10.445 * [backup-simplify]: Simplify 1 into 1 10.445 * [backup-simplify]: Simplify (* 1 1) into 1 10.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.450 * [backup-simplify]: Simplify (+ 0 0) into 0 10.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.451 * [taylor]: Taking taylor expansion of 0 in im 10.451 * [backup-simplify]: Simplify 0 into 0 10.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.454 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.455 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.455 * [taylor]: Taking taylor expansion of im in im 10.455 * [backup-simplify]: Simplify 0 into 0 10.455 * [backup-simplify]: Simplify 1 into 1 10.455 * [backup-simplify]: Simplify (* 1 1) into 1 10.456 * [backup-simplify]: Simplify (/ 1 1) into 1 10.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.456 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.456 * [taylor]: Taking taylor expansion of re in im 10.456 * [backup-simplify]: Simplify re into re 10.456 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.456 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.456 * [backup-simplify]: Simplify (+ 1 0) into 1 10.457 * [backup-simplify]: Simplify (sqrt 1) into 1 10.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.459 * [backup-simplify]: Simplify (+ 0 0) into 0 10.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.460 * [taylor]: Taking taylor expansion of im in re 10.460 * [backup-simplify]: Simplify im into im 10.460 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.460 * [taylor]: Taking taylor expansion of re in re 10.460 * [backup-simplify]: Simplify 0 into 0 10.460 * [backup-simplify]: Simplify 1 into 1 10.460 * [backup-simplify]: Simplify (* 1 1) into 1 10.461 * [backup-simplify]: Simplify (/ 1 1) into 1 10.461 * [backup-simplify]: Simplify (+ 0 1) into 1 10.462 * [backup-simplify]: Simplify (sqrt 1) into 1 10.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.463 * [backup-simplify]: Simplify (+ 0 0) into 0 10.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.464 * [taylor]: Taking taylor expansion of im in re 10.464 * [backup-simplify]: Simplify im into im 10.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.465 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.465 * [taylor]: Taking taylor expansion of re in re 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 1 into 1 10.465 * [backup-simplify]: Simplify (* 1 1) into 1 10.466 * [backup-simplify]: Simplify (/ 1 1) into 1 10.466 * [backup-simplify]: Simplify (+ 0 1) into 1 10.466 * [backup-simplify]: Simplify (sqrt 1) into 1 10.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.468 * [backup-simplify]: Simplify (+ 0 0) into 0 10.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.469 * [taylor]: Taking taylor expansion of 1 in im 10.469 * [backup-simplify]: Simplify 1 into 1 10.469 * [taylor]: Taking taylor expansion of 0 in im 10.469 * [backup-simplify]: Simplify 0 into 0 10.469 * [backup-simplify]: Simplify 1 into 1 10.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.471 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.473 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.473 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.473 * [taylor]: Taking taylor expansion of 1/2 in im 10.473 * [backup-simplify]: Simplify 1/2 into 1/2 10.473 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.473 * [taylor]: Taking taylor expansion of im in im 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify 1 into 1 10.473 * [backup-simplify]: Simplify (* 1 1) into 1 10.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.476 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.479 * [backup-simplify]: Simplify (+ 0 0) into 0 10.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.479 * [taylor]: Taking taylor expansion of 0 in im 10.479 * [backup-simplify]: Simplify 0 into 0 10.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.481 * [backup-simplify]: Simplify 0 into 0 10.481 * [backup-simplify]: Simplify 0 into 0 10.481 * [backup-simplify]: Simplify 0 into 0 10.481 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 10.482 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 10.482 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.482 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.482 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.482 * [taylor]: Taking taylor expansion of re in im 10.482 * [backup-simplify]: Simplify re into re 10.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.482 * [taylor]: Taking taylor expansion of im in im 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 1 into 1 10.482 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.482 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.482 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.483 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.483 * [backup-simplify]: Simplify (+ 0 0) into 0 10.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.483 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.483 * [taylor]: Taking taylor expansion of re in re 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 1 into 1 10.483 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.483 * [taylor]: Taking taylor expansion of im in re 10.483 * [backup-simplify]: Simplify im into im 10.483 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.483 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.483 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.484 * [backup-simplify]: Simplify (+ 0 0) into 0 10.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.484 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.484 * [taylor]: Taking taylor expansion of re in re 10.484 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify 1 into 1 10.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.484 * [taylor]: Taking taylor expansion of im in re 10.484 * [backup-simplify]: Simplify im into im 10.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.484 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.484 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.485 * [backup-simplify]: Simplify (+ 0 0) into 0 10.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.485 * [taylor]: Taking taylor expansion of im in im 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 1 into 1 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [taylor]: Taking taylor expansion of 0 in im 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 1 into 1 10.485 * [backup-simplify]: Simplify (* 1 1) into 1 10.485 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.486 * [backup-simplify]: Simplify (+ 1 0) into 1 10.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.486 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.486 * [taylor]: Taking taylor expansion of 1/2 in im 10.486 * [backup-simplify]: Simplify 1/2 into 1/2 10.486 * [taylor]: Taking taylor expansion of im in im 10.486 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify 1 into 1 10.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify 0 into 0 10.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.488 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.488 * [backup-simplify]: Simplify (+ 0 0) into 0 10.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.489 * [taylor]: Taking taylor expansion of 0 in im 10.489 * [backup-simplify]: Simplify 0 into 0 10.489 * [backup-simplify]: Simplify 0 into 0 10.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.489 * [backup-simplify]: Simplify 0 into 0 10.489 * [backup-simplify]: Simplify 0 into 0 10.489 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.490 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.490 * [taylor]: Taking taylor expansion of im in im 10.490 * [backup-simplify]: Simplify 0 into 0 10.490 * [backup-simplify]: Simplify 1 into 1 10.490 * [backup-simplify]: Simplify (* 1 1) into 1 10.490 * [backup-simplify]: Simplify (/ 1 1) into 1 10.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.490 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.490 * [taylor]: Taking taylor expansion of re in im 10.490 * [backup-simplify]: Simplify re into re 10.490 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.490 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.491 * [backup-simplify]: Simplify (+ 1 0) into 1 10.491 * [backup-simplify]: Simplify (sqrt 1) into 1 10.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.492 * [backup-simplify]: Simplify (+ 0 0) into 0 10.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.493 * [taylor]: Taking taylor expansion of im in re 10.493 * [backup-simplify]: Simplify im into im 10.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.493 * [taylor]: Taking taylor expansion of re in re 10.493 * [backup-simplify]: Simplify 0 into 0 10.493 * [backup-simplify]: Simplify 1 into 1 10.493 * [backup-simplify]: Simplify (* 1 1) into 1 10.493 * [backup-simplify]: Simplify (/ 1 1) into 1 10.494 * [backup-simplify]: Simplify (+ 0 1) into 1 10.494 * [backup-simplify]: Simplify (sqrt 1) into 1 10.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.495 * [backup-simplify]: Simplify (+ 0 0) into 0 10.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.496 * [taylor]: Taking taylor expansion of im in re 10.496 * [backup-simplify]: Simplify im into im 10.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.496 * [taylor]: Taking taylor expansion of re in re 10.496 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify 1 into 1 10.496 * [backup-simplify]: Simplify (* 1 1) into 1 10.496 * [backup-simplify]: Simplify (/ 1 1) into 1 10.497 * [backup-simplify]: Simplify (+ 0 1) into 1 10.497 * [backup-simplify]: Simplify (sqrt 1) into 1 10.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.498 * [backup-simplify]: Simplify (+ 0 0) into 0 10.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.498 * [taylor]: Taking taylor expansion of 1 in im 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [taylor]: Taking taylor expansion of 0 in im 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.500 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.501 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.501 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.501 * [taylor]: Taking taylor expansion of 1/2 in im 10.501 * [backup-simplify]: Simplify 1/2 into 1/2 10.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.501 * [taylor]: Taking taylor expansion of im in im 10.501 * [backup-simplify]: Simplify 0 into 0 10.501 * [backup-simplify]: Simplify 1 into 1 10.501 * [backup-simplify]: Simplify (* 1 1) into 1 10.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.504 * [backup-simplify]: Simplify (+ 0 0) into 0 10.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.505 * [taylor]: Taking taylor expansion of 0 in im 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.506 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.506 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.506 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.506 * [taylor]: Taking taylor expansion of im in im 10.506 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify 1 into 1 10.506 * [backup-simplify]: Simplify (* 1 1) into 1 10.507 * [backup-simplify]: Simplify (/ 1 1) into 1 10.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.507 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.507 * [taylor]: Taking taylor expansion of re in im 10.507 * [backup-simplify]: Simplify re into re 10.507 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.507 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.507 * [backup-simplify]: Simplify (+ 1 0) into 1 10.508 * [backup-simplify]: Simplify (sqrt 1) into 1 10.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.509 * [backup-simplify]: Simplify (+ 0 0) into 0 10.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.509 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.509 * [taylor]: Taking taylor expansion of im in re 10.509 * [backup-simplify]: Simplify im into im 10.509 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.510 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.510 * [taylor]: Taking taylor expansion of re in re 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify 1 into 1 10.510 * [backup-simplify]: Simplify (* 1 1) into 1 10.510 * [backup-simplify]: Simplify (/ 1 1) into 1 10.510 * [backup-simplify]: Simplify (+ 0 1) into 1 10.511 * [backup-simplify]: Simplify (sqrt 1) into 1 10.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.512 * [backup-simplify]: Simplify (+ 0 0) into 0 10.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.512 * [taylor]: Taking taylor expansion of im in re 10.512 * [backup-simplify]: Simplify im into im 10.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.513 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.513 * [taylor]: Taking taylor expansion of re in re 10.513 * [backup-simplify]: Simplify 0 into 0 10.513 * [backup-simplify]: Simplify 1 into 1 10.513 * [backup-simplify]: Simplify (* 1 1) into 1 10.513 * [backup-simplify]: Simplify (/ 1 1) into 1 10.514 * [backup-simplify]: Simplify (+ 0 1) into 1 10.514 * [backup-simplify]: Simplify (sqrt 1) into 1 10.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.515 * [backup-simplify]: Simplify (+ 0 0) into 0 10.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.516 * [taylor]: Taking taylor expansion of 1 in im 10.516 * [backup-simplify]: Simplify 1 into 1 10.516 * [taylor]: Taking taylor expansion of 0 in im 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify 1 into 1 10.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.517 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.518 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.518 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.518 * [taylor]: Taking taylor expansion of 1/2 in im 10.518 * [backup-simplify]: Simplify 1/2 into 1/2 10.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.518 * [taylor]: Taking taylor expansion of im in im 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify 1 into 1 10.518 * [backup-simplify]: Simplify (* 1 1) into 1 10.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.519 * [backup-simplify]: Simplify 0 into 0 10.519 * [backup-simplify]: Simplify 0 into 0 10.519 * [backup-simplify]: Simplify 0 into 0 10.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (+ 0 0) into 0 10.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.522 * [taylor]: Taking taylor expansion of 0 in im 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.523 * [backup-simplify]: Simplify 0 into 0 10.523 * [backup-simplify]: Simplify 0 into 0 10.523 * [backup-simplify]: Simplify 0 into 0 10.523 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.523 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 10.523 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 10.524 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 10.524 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 10.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.524 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.524 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.524 * [taylor]: Taking taylor expansion of re in im 10.524 * [backup-simplify]: Simplify re into re 10.524 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.524 * [taylor]: Taking taylor expansion of im in im 10.524 * [backup-simplify]: Simplify 0 into 0 10.524 * [backup-simplify]: Simplify 1 into 1 10.524 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.524 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.524 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.524 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.524 * [backup-simplify]: Simplify (+ 0 0) into 0 10.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.524 * [taylor]: Taking taylor expansion of re in im 10.524 * [backup-simplify]: Simplify re into re 10.525 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.525 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.525 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.525 * [taylor]: Taking taylor expansion of re in re 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify 1 into 1 10.525 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.525 * [taylor]: Taking taylor expansion of im in re 10.525 * [backup-simplify]: Simplify im into im 10.525 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.525 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.525 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.525 * [backup-simplify]: Simplify (+ 0 0) into 0 10.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.525 * [taylor]: Taking taylor expansion of re in re 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify 1 into 1 10.525 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.525 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.526 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.526 * [taylor]: Taking taylor expansion of re in re 10.526 * [backup-simplify]: Simplify 0 into 0 10.526 * [backup-simplify]: Simplify 1 into 1 10.526 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.526 * [taylor]: Taking taylor expansion of im in re 10.526 * [backup-simplify]: Simplify im into im 10.526 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.526 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.526 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.526 * [backup-simplify]: Simplify (+ 0 0) into 0 10.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.526 * [taylor]: Taking taylor expansion of re in re 10.526 * [backup-simplify]: Simplify 0 into 0 10.526 * [backup-simplify]: Simplify 1 into 1 10.527 * [backup-simplify]: Simplify (- 0) into 0 10.527 * [backup-simplify]: Simplify (+ im 0) into im 10.527 * [taylor]: Taking taylor expansion of im in im 10.527 * [backup-simplify]: Simplify 0 into 0 10.527 * [backup-simplify]: Simplify 1 into 1 10.527 * [backup-simplify]: Simplify 0 into 0 10.527 * [backup-simplify]: Simplify (- 1) into -1 10.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.527 * [taylor]: Taking taylor expansion of -1 in im 10.527 * [backup-simplify]: Simplify -1 into -1 10.527 * [backup-simplify]: Simplify -1 into -1 10.527 * [backup-simplify]: Simplify 1 into 1 10.528 * [backup-simplify]: Simplify (* 1 1) into 1 10.528 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.528 * [backup-simplify]: Simplify (+ 1 0) into 1 10.529 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.529 * [backup-simplify]: Simplify (- 0) into 0 10.529 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 10.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.529 * [taylor]: Taking taylor expansion of 1/2 in im 10.529 * [backup-simplify]: Simplify 1/2 into 1/2 10.529 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.529 * [taylor]: Taking taylor expansion of im in im 10.529 * [backup-simplify]: Simplify 0 into 0 10.529 * [backup-simplify]: Simplify 1 into 1 10.529 * [backup-simplify]: Simplify (/ 1 1) into 1 10.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.530 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.531 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.532 * [backup-simplify]: Simplify (+ 0 0) into 0 10.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.532 * [backup-simplify]: Simplify (- 0) into 0 10.532 * [backup-simplify]: Simplify (+ 0 0) into 0 10.532 * [taylor]: Taking taylor expansion of 0 in im 10.532 * [backup-simplify]: Simplify 0 into 0 10.532 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.533 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify 0 into 0 10.534 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 10.534 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 10.534 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 10.534 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.534 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.534 * [taylor]: Taking taylor expansion of im in im 10.534 * [backup-simplify]: Simplify 0 into 0 10.534 * [backup-simplify]: Simplify 1 into 1 10.535 * [backup-simplify]: Simplify (* 1 1) into 1 10.535 * [backup-simplify]: Simplify (/ 1 1) into 1 10.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.535 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.535 * [taylor]: Taking taylor expansion of re in im 10.535 * [backup-simplify]: Simplify re into re 10.535 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.535 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.535 * [backup-simplify]: Simplify (+ 1 0) into 1 10.536 * [backup-simplify]: Simplify (sqrt 1) into 1 10.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.537 * [backup-simplify]: Simplify (+ 0 0) into 0 10.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.537 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.537 * [taylor]: Taking taylor expansion of re in im 10.537 * [backup-simplify]: Simplify re into re 10.537 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.537 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.537 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.538 * [taylor]: Taking taylor expansion of im in re 10.538 * [backup-simplify]: Simplify im into im 10.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.538 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.538 * [taylor]: Taking taylor expansion of re in re 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 1 into 1 10.538 * [backup-simplify]: Simplify (* 1 1) into 1 10.538 * [backup-simplify]: Simplify (/ 1 1) into 1 10.539 * [backup-simplify]: Simplify (+ 0 1) into 1 10.539 * [backup-simplify]: Simplify (sqrt 1) into 1 10.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.540 * [backup-simplify]: Simplify (+ 0 0) into 0 10.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.541 * [taylor]: Taking taylor expansion of re in re 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 1 into 1 10.541 * [backup-simplify]: Simplify (/ 1 1) into 1 10.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.541 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.541 * [taylor]: Taking taylor expansion of im in re 10.541 * [backup-simplify]: Simplify im into im 10.541 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.541 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.541 * [taylor]: Taking taylor expansion of re in re 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 1 into 1 10.542 * [backup-simplify]: Simplify (* 1 1) into 1 10.542 * [backup-simplify]: Simplify (/ 1 1) into 1 10.542 * [backup-simplify]: Simplify (+ 0 1) into 1 10.542 * [backup-simplify]: Simplify (sqrt 1) into 1 10.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.543 * [backup-simplify]: Simplify (+ 0 0) into 0 10.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.544 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.544 * [taylor]: Taking taylor expansion of re in re 10.544 * [backup-simplify]: Simplify 0 into 0 10.544 * [backup-simplify]: Simplify 1 into 1 10.544 * [backup-simplify]: Simplify (/ 1 1) into 1 10.544 * [backup-simplify]: Simplify (- 1) into -1 10.545 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.545 * [taylor]: Taking taylor expansion of 0 in im 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.545 * [backup-simplify]: Simplify (- 0) into 0 10.546 * [backup-simplify]: Simplify (+ 0 0) into 0 10.546 * [taylor]: Taking taylor expansion of 0 in im 10.546 * [backup-simplify]: Simplify 0 into 0 10.546 * [backup-simplify]: Simplify 0 into 0 10.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.553 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.555 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.556 * [backup-simplify]: Simplify (- 0) into 0 10.557 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.557 * [taylor]: Taking taylor expansion of 1/2 in im 10.557 * [backup-simplify]: Simplify 1/2 into 1/2 10.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.557 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.557 * [taylor]: Taking taylor expansion of im in im 10.557 * [backup-simplify]: Simplify 0 into 0 10.557 * [backup-simplify]: Simplify 1 into 1 10.557 * [backup-simplify]: Simplify (* 1 1) into 1 10.558 * [backup-simplify]: Simplify (/ 1 1) into 1 10.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.560 * [backup-simplify]: Simplify 0 into 0 10.560 * [backup-simplify]: Simplify 0 into 0 10.560 * [backup-simplify]: Simplify 0 into 0 10.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.564 * [backup-simplify]: Simplify (+ 0 0) into 0 10.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.566 * [backup-simplify]: Simplify (- 0) into 0 10.567 * [backup-simplify]: Simplify (+ 0 0) into 0 10.567 * [taylor]: Taking taylor expansion of 0 in im 10.567 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.570 * [backup-simplify]: Simplify 0 into 0 10.570 * [backup-simplify]: Simplify 0 into 0 10.570 * [backup-simplify]: Simplify 0 into 0 10.572 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 10.572 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 10.572 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.572 * [taylor]: Taking taylor expansion of re in im 10.572 * [backup-simplify]: Simplify re into re 10.572 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.572 * [taylor]: Taking taylor expansion of im in im 10.572 * [backup-simplify]: Simplify 0 into 0 10.572 * [backup-simplify]: Simplify 1 into 1 10.573 * [backup-simplify]: Simplify (* 1 1) into 1 10.573 * [backup-simplify]: Simplify (/ 1 1) into 1 10.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.573 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.573 * [taylor]: Taking taylor expansion of re in im 10.573 * [backup-simplify]: Simplify re into re 10.573 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.573 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.574 * [backup-simplify]: Simplify (+ 1 0) into 1 10.574 * [backup-simplify]: Simplify (sqrt 1) into 1 10.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.576 * [backup-simplify]: Simplify (+ 0 0) into 0 10.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.577 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.577 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.577 * [taylor]: Taking taylor expansion of re in re 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify 1 into 1 10.577 * [backup-simplify]: Simplify (/ 1 1) into 1 10.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.577 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.577 * [taylor]: Taking taylor expansion of im in re 10.577 * [backup-simplify]: Simplify im into im 10.577 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.578 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.578 * [taylor]: Taking taylor expansion of re in re 10.578 * [backup-simplify]: Simplify 0 into 0 10.578 * [backup-simplify]: Simplify 1 into 1 10.578 * [backup-simplify]: Simplify (* 1 1) into 1 10.578 * [backup-simplify]: Simplify (/ 1 1) into 1 10.578 * [backup-simplify]: Simplify (+ 0 1) into 1 10.579 * [backup-simplify]: Simplify (sqrt 1) into 1 10.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.580 * [backup-simplify]: Simplify (+ 0 0) into 0 10.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.581 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.581 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.581 * [taylor]: Taking taylor expansion of re in re 10.581 * [backup-simplify]: Simplify 0 into 0 10.581 * [backup-simplify]: Simplify 1 into 1 10.581 * [backup-simplify]: Simplify (/ 1 1) into 1 10.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.581 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.581 * [taylor]: Taking taylor expansion of im in re 10.581 * [backup-simplify]: Simplify im into im 10.582 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.582 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.582 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.582 * [taylor]: Taking taylor expansion of re in re 10.582 * [backup-simplify]: Simplify 0 into 0 10.582 * [backup-simplify]: Simplify 1 into 1 10.582 * [backup-simplify]: Simplify (* 1 1) into 1 10.582 * [backup-simplify]: Simplify (/ 1 1) into 1 10.583 * [backup-simplify]: Simplify (+ 0 1) into 1 10.583 * [backup-simplify]: Simplify (sqrt 1) into 1 10.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.584 * [backup-simplify]: Simplify (+ 0 0) into 0 10.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.585 * [backup-simplify]: Simplify (+ 1 1) into 2 10.585 * [taylor]: Taking taylor expansion of 2 in im 10.585 * [backup-simplify]: Simplify 2 into 2 10.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.586 * [backup-simplify]: Simplify (+ 0 0) into 0 10.586 * [taylor]: Taking taylor expansion of 0 in im 10.586 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify 2 into 2 10.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.588 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.589 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.589 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 10.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.589 * [taylor]: Taking taylor expansion of 1/2 in im 10.589 * [backup-simplify]: Simplify 1/2 into 1/2 10.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.589 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.589 * [taylor]: Taking taylor expansion of im in im 10.589 * [backup-simplify]: Simplify 0 into 0 10.589 * [backup-simplify]: Simplify 1 into 1 10.589 * [backup-simplify]: Simplify (* 1 1) into 1 10.589 * [backup-simplify]: Simplify (/ 1 1) into 1 10.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.591 * [backup-simplify]: Simplify 0 into 0 10.591 * [backup-simplify]: Simplify 0 into 0 10.591 * [backup-simplify]: Simplify 0 into 0 10.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.591 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.593 * [backup-simplify]: Simplify (+ 0 0) into 0 10.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.594 * [backup-simplify]: Simplify (+ 0 0) into 0 10.594 * [taylor]: Taking taylor expansion of 0 in im 10.594 * [backup-simplify]: Simplify 0 into 0 10.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 10.596 * * * [progress]: simplifying candidates 10.597 * [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 (+ (* 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 (+ (* 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 (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))) (exp re)) (log (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (exp (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (* (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (* (* (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re) (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)) (- (pow (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))) (+ (* re re) (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))) (- re) (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))) (* re re)) (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 10.598 * * [simplify]: Extracting # 0 : cost 0 10.598 * * [simplify]: Extracting # 1 : cost 0 10.598 * * [simplify]: Extracting # 2 : cost 0 10.598 * * [simplify]: Extracting # 3 : cost 0 10.598 * * [simplify]: Extracting # 4 : cost 0 10.598 * * [simplify]: Extracting # 5 : cost 0 10.599 * * [simplify]: Extracting # 6 : cost 0 10.599 * * [simplify]: Extracting # 7 : cost 0 10.599 * * [simplify]: iteration 0 : 66 enodes (cost 1263 ) 10.622 * * [simplify]: Extracting # 0 : cost 0 10.623 * * [simplify]: Extracting # 1 : cost 0 10.623 * * [simplify]: Extracting # 2 : cost 0 10.623 * * [simplify]: Extracting # 3 : cost 0 10.624 * * [simplify]: Extracting # 4 : cost 0 10.624 * * [simplify]: iteration 1 : 291 enodes (cost 1167 ) 11.091 * * [simplify]: Extracting # 0 : cost 0 11.093 * * [simplify]: Extracting # 1 : cost 0 11.095 * * [simplify]: Extracting # 2 : cost 0 11.096 * * [simplify]: Extracting # 3 : cost 0 11.098 * * [simplify]: Extracting # 4 : cost 0 11.099 * * [simplify]: Extracting # 5 : cost 0 11.101 * * [simplify]: iteration 2 : 1419 enodes (cost 839 ) 13.098 * * [simplify]: Extracting # 0 : cost 0 13.106 * * [simplify]: Extracting # 1 : cost 0 13.113 * * [simplify]: Extracting # 2 : cost 0 13.120 * * [simplify]: Extracting # 3 : cost 0 13.127 * * [simplify]: Extracting # 4 : cost 0 13.133 * * [simplify]: Extracting # 5 : cost 0 13.140 * * [simplify]: iteration done: 5001 enodes (cost 677 ) 13.140 * [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) (* re re)) (* im im)) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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) (* re re)) (* im im)) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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) (* re re)) (* im im)) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) 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))) 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)) (+ (* im im) (+ (* re re) (* (+ (sqrt (+ (* re re) (* im im))) re) re))) (- re) (+ (* re re) (- (* im im) (* re re))) (+ (sqrt (+ (* re re) (* im im))) re) (- re) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 13.141 * * * [progress]: adding candidates to table 13.527 * * [progress]: iteration 4 / 4 13.527 * * * [progress]: picking best candidate 13.568 * * * * [pick]: Picked # 13.568 * * * [progress]: localizing error 13.623 * * * [progress]: generating rewritten candidates 13.623 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1 1) 13.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 13.655 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1) 13.671 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 2 1) 13.683 * * * [progress]: generating series expansions 13.684 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1 1) 13.684 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 13.684 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 13.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 13.684 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 13.684 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.684 * [taylor]: Taking taylor expansion of re in im 13.684 * [backup-simplify]: Simplify re into re 13.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.684 * [taylor]: Taking taylor expansion of im in im 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.684 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.684 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.684 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.685 * [backup-simplify]: Simplify (+ 0 0) into 0 13.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.685 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.685 * [taylor]: Taking taylor expansion of re in re 13.685 * [backup-simplify]: Simplify 0 into 0 13.685 * [backup-simplify]: Simplify 1 into 1 13.685 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.685 * [taylor]: Taking taylor expansion of im in re 13.685 * [backup-simplify]: Simplify im into im 13.685 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.685 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.685 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.685 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.686 * [backup-simplify]: Simplify (+ 0 0) into 0 13.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.686 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.686 * [taylor]: Taking taylor expansion of re in re 13.686 * [backup-simplify]: Simplify 0 into 0 13.686 * [backup-simplify]: Simplify 1 into 1 13.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.686 * [taylor]: Taking taylor expansion of im in re 13.686 * [backup-simplify]: Simplify im into im 13.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.686 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.686 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.686 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.686 * [backup-simplify]: Simplify (+ 0 0) into 0 13.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.687 * [taylor]: Taking taylor expansion of im in im 13.687 * [backup-simplify]: Simplify 0 into 0 13.687 * [backup-simplify]: Simplify 1 into 1 13.687 * [backup-simplify]: Simplify 0 into 0 13.687 * [taylor]: Taking taylor expansion of 0 in im 13.687 * [backup-simplify]: Simplify 0 into 0 13.687 * [backup-simplify]: Simplify 0 into 0 13.687 * [backup-simplify]: Simplify 1 into 1 13.687 * [backup-simplify]: Simplify (* 1 1) into 1 13.687 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.688 * [backup-simplify]: Simplify (+ 1 0) into 1 13.688 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.688 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.688 * [taylor]: Taking taylor expansion of 1/2 in im 13.688 * [backup-simplify]: Simplify 1/2 into 1/2 13.688 * [taylor]: Taking taylor expansion of im in im 13.688 * [backup-simplify]: Simplify 0 into 0 13.688 * [backup-simplify]: Simplify 1 into 1 13.688 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.690 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.690 * [backup-simplify]: Simplify (+ 0 0) into 0 13.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.690 * [taylor]: Taking taylor expansion of 0 in im 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify 0 into 0 13.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.691 * [backup-simplify]: Simplify 0 into 0 13.691 * [backup-simplify]: Simplify 0 into 0 13.691 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.691 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.691 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.691 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.691 * [taylor]: Taking taylor expansion of im in im 13.691 * [backup-simplify]: Simplify 0 into 0 13.691 * [backup-simplify]: Simplify 1 into 1 13.692 * [backup-simplify]: Simplify (* 1 1) into 1 13.692 * [backup-simplify]: Simplify (/ 1 1) into 1 13.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.692 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.692 * [taylor]: Taking taylor expansion of re in im 13.692 * [backup-simplify]: Simplify re into re 13.692 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.692 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.692 * [backup-simplify]: Simplify (+ 1 0) into 1 13.693 * [backup-simplify]: Simplify (sqrt 1) into 1 13.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.694 * [backup-simplify]: Simplify (+ 0 0) into 0 13.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.695 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.695 * [taylor]: Taking taylor expansion of im in re 13.695 * [backup-simplify]: Simplify im into im 13.695 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.695 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.695 * [taylor]: Taking taylor expansion of re in re 13.695 * [backup-simplify]: Simplify 0 into 0 13.695 * [backup-simplify]: Simplify 1 into 1 13.695 * [backup-simplify]: Simplify (* 1 1) into 1 13.695 * [backup-simplify]: Simplify (/ 1 1) into 1 13.696 * [backup-simplify]: Simplify (+ 0 1) into 1 13.696 * [backup-simplify]: Simplify (sqrt 1) into 1 13.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.697 * [backup-simplify]: Simplify (+ 0 0) into 0 13.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.697 * [taylor]: Taking taylor expansion of im in re 13.697 * [backup-simplify]: Simplify im into im 13.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.698 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.698 * [taylor]: Taking taylor expansion of re in re 13.698 * [backup-simplify]: Simplify 0 into 0 13.698 * [backup-simplify]: Simplify 1 into 1 13.698 * [backup-simplify]: Simplify (* 1 1) into 1 13.698 * [backup-simplify]: Simplify (/ 1 1) into 1 13.698 * [backup-simplify]: Simplify (+ 0 1) into 1 13.699 * [backup-simplify]: Simplify (sqrt 1) into 1 13.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.700 * [backup-simplify]: Simplify (+ 0 0) into 0 13.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.700 * [taylor]: Taking taylor expansion of 1 in im 13.700 * [backup-simplify]: Simplify 1 into 1 13.700 * [taylor]: Taking taylor expansion of 0 in im 13.700 * [backup-simplify]: Simplify 0 into 0 13.701 * [backup-simplify]: Simplify 1 into 1 13.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.702 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.703 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.703 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.703 * [taylor]: Taking taylor expansion of 1/2 in im 13.703 * [backup-simplify]: Simplify 1/2 into 1/2 13.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.703 * [taylor]: Taking taylor expansion of im in im 13.703 * [backup-simplify]: Simplify 0 into 0 13.703 * [backup-simplify]: Simplify 1 into 1 13.703 * [backup-simplify]: Simplify (* 1 1) into 1 13.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.706 * [backup-simplify]: Simplify (+ 0 0) into 0 13.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.706 * [taylor]: Taking taylor expansion of 0 in im 13.706 * [backup-simplify]: Simplify 0 into 0 13.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.708 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.708 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.708 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.708 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.708 * [taylor]: Taking taylor expansion of im in im 13.708 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify 1 into 1 13.708 * [backup-simplify]: Simplify (* 1 1) into 1 13.709 * [backup-simplify]: Simplify (/ 1 1) into 1 13.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.709 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.709 * [taylor]: Taking taylor expansion of re in im 13.709 * [backup-simplify]: Simplify re into re 13.709 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.709 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.709 * [backup-simplify]: Simplify (+ 1 0) into 1 13.709 * [backup-simplify]: Simplify (sqrt 1) into 1 13.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.710 * [backup-simplify]: Simplify (+ 0 0) into 0 13.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.711 * [taylor]: Taking taylor expansion of im in re 13.711 * [backup-simplify]: Simplify im into im 13.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.711 * [taylor]: Taking taylor expansion of re in re 13.711 * [backup-simplify]: Simplify 0 into 0 13.711 * [backup-simplify]: Simplify 1 into 1 13.712 * [backup-simplify]: Simplify (* 1 1) into 1 13.712 * [backup-simplify]: Simplify (/ 1 1) into 1 13.712 * [backup-simplify]: Simplify (+ 0 1) into 1 13.713 * [backup-simplify]: Simplify (sqrt 1) into 1 13.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.714 * [backup-simplify]: Simplify (+ 0 0) into 0 13.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.714 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.714 * [taylor]: Taking taylor expansion of im in re 13.714 * [backup-simplify]: Simplify im into im 13.714 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.714 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.714 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.714 * [taylor]: Taking taylor expansion of re in re 13.714 * [backup-simplify]: Simplify 0 into 0 13.714 * [backup-simplify]: Simplify 1 into 1 13.715 * [backup-simplify]: Simplify (* 1 1) into 1 13.715 * [backup-simplify]: Simplify (/ 1 1) into 1 13.715 * [backup-simplify]: Simplify (+ 0 1) into 1 13.715 * [backup-simplify]: Simplify (sqrt 1) into 1 13.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.716 * [backup-simplify]: Simplify (+ 0 0) into 0 13.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.717 * [taylor]: Taking taylor expansion of 1 in im 13.717 * [backup-simplify]: Simplify 1 into 1 13.717 * [taylor]: Taking taylor expansion of 0 in im 13.717 * [backup-simplify]: Simplify 0 into 0 13.717 * [backup-simplify]: Simplify 1 into 1 13.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.718 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.719 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.719 * [taylor]: Taking taylor expansion of 1/2 in im 13.719 * [backup-simplify]: Simplify 1/2 into 1/2 13.719 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.719 * [taylor]: Taking taylor expansion of im in im 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify 1 into 1 13.720 * [backup-simplify]: Simplify (* 1 1) into 1 13.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.721 * [backup-simplify]: Simplify 0 into 0 13.721 * [backup-simplify]: Simplify 0 into 0 13.721 * [backup-simplify]: Simplify 0 into 0 13.721 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.723 * [backup-simplify]: Simplify (+ 0 0) into 0 13.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.723 * [taylor]: Taking taylor expansion of 0 in im 13.723 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.724 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.724 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) 13.725 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 13.725 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 13.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 13.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 13.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.725 * [taylor]: Taking taylor expansion of re in im 13.725 * [backup-simplify]: Simplify re into re 13.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.725 * [taylor]: Taking taylor expansion of im in im 13.725 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify 1 into 1 13.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.725 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.725 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.725 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.726 * [backup-simplify]: Simplify (+ 0 0) into 0 13.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.726 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.726 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.726 * [taylor]: Taking taylor expansion of re in re 13.726 * [backup-simplify]: Simplify 0 into 0 13.726 * [backup-simplify]: Simplify 1 into 1 13.726 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.726 * [taylor]: Taking taylor expansion of im in re 13.726 * [backup-simplify]: Simplify im into im 13.726 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.726 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.727 * [backup-simplify]: Simplify (+ 0 0) into 0 13.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.727 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.727 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.727 * [taylor]: Taking taylor expansion of re in re 13.727 * [backup-simplify]: Simplify 0 into 0 13.727 * [backup-simplify]: Simplify 1 into 1 13.727 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.727 * [taylor]: Taking taylor expansion of im in re 13.727 * [backup-simplify]: Simplify im into im 13.728 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.728 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.728 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.728 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.728 * [backup-simplify]: Simplify (+ 0 0) into 0 13.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.729 * [taylor]: Taking taylor expansion of im in im 13.729 * [backup-simplify]: Simplify 0 into 0 13.729 * [backup-simplify]: Simplify 1 into 1 13.729 * [backup-simplify]: Simplify 0 into 0 13.729 * [taylor]: Taking taylor expansion of 0 in im 13.729 * [backup-simplify]: Simplify 0 into 0 13.729 * [backup-simplify]: Simplify 0 into 0 13.729 * [backup-simplify]: Simplify 1 into 1 13.729 * [backup-simplify]: Simplify (* 1 1) into 1 13.730 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.730 * [backup-simplify]: Simplify (+ 1 0) into 1 13.731 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.731 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.731 * [taylor]: Taking taylor expansion of 1/2 in im 13.731 * [backup-simplify]: Simplify 1/2 into 1/2 13.731 * [taylor]: Taking taylor expansion of im in im 13.731 * [backup-simplify]: Simplify 0 into 0 13.731 * [backup-simplify]: Simplify 1 into 1 13.732 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.733 * [backup-simplify]: Simplify 0 into 0 13.733 * [backup-simplify]: Simplify 0 into 0 13.733 * [backup-simplify]: Simplify 0 into 0 13.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.734 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.735 * [backup-simplify]: Simplify (+ 0 0) into 0 13.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.735 * [taylor]: Taking taylor expansion of 0 in im 13.735 * [backup-simplify]: Simplify 0 into 0 13.735 * [backup-simplify]: Simplify 0 into 0 13.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.736 * [backup-simplify]: Simplify 0 into 0 13.736 * [backup-simplify]: Simplify 0 into 0 13.736 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.736 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.736 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.737 * [taylor]: Taking taylor expansion of im in im 13.737 * [backup-simplify]: Simplify 0 into 0 13.737 * [backup-simplify]: Simplify 1 into 1 13.737 * [backup-simplify]: Simplify (* 1 1) into 1 13.737 * [backup-simplify]: Simplify (/ 1 1) into 1 13.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.738 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.738 * [taylor]: Taking taylor expansion of re in im 13.738 * [backup-simplify]: Simplify re into re 13.738 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.738 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.738 * [backup-simplify]: Simplify (+ 1 0) into 1 13.739 * [backup-simplify]: Simplify (sqrt 1) into 1 13.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.740 * [backup-simplify]: Simplify (+ 0 0) into 0 13.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.741 * [taylor]: Taking taylor expansion of im in re 13.741 * [backup-simplify]: Simplify im into im 13.742 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.742 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.742 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.742 * [taylor]: Taking taylor expansion of re in re 13.742 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify 1 into 1 13.742 * [backup-simplify]: Simplify (* 1 1) into 1 13.743 * [backup-simplify]: Simplify (/ 1 1) into 1 13.743 * [backup-simplify]: Simplify (+ 0 1) into 1 13.743 * [backup-simplify]: Simplify (sqrt 1) into 1 13.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.745 * [backup-simplify]: Simplify (+ 0 0) into 0 13.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.746 * [taylor]: Taking taylor expansion of im in re 13.746 * [backup-simplify]: Simplify im into im 13.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.747 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.747 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.747 * [taylor]: Taking taylor expansion of re in re 13.747 * [backup-simplify]: Simplify 0 into 0 13.747 * [backup-simplify]: Simplify 1 into 1 13.747 * [backup-simplify]: Simplify (* 1 1) into 1 13.747 * [backup-simplify]: Simplify (/ 1 1) into 1 13.748 * [backup-simplify]: Simplify (+ 0 1) into 1 13.748 * [backup-simplify]: Simplify (sqrt 1) into 1 13.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.750 * [backup-simplify]: Simplify (+ 0 0) into 0 13.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.751 * [taylor]: Taking taylor expansion of 1 in im 13.751 * [backup-simplify]: Simplify 1 into 1 13.751 * [taylor]: Taking taylor expansion of 0 in im 13.751 * [backup-simplify]: Simplify 0 into 0 13.751 * [backup-simplify]: Simplify 1 into 1 13.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.753 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.755 * [taylor]: Taking taylor expansion of 1/2 in im 13.755 * [backup-simplify]: Simplify 1/2 into 1/2 13.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.755 * [taylor]: Taking taylor expansion of im in im 13.755 * [backup-simplify]: Simplify 0 into 0 13.755 * [backup-simplify]: Simplify 1 into 1 13.755 * [backup-simplify]: Simplify (* 1 1) into 1 13.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.757 * [backup-simplify]: Simplify 0 into 0 13.757 * [backup-simplify]: Simplify 0 into 0 13.757 * [backup-simplify]: Simplify 0 into 0 13.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.760 * [backup-simplify]: Simplify (+ 0 0) into 0 13.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.761 * [taylor]: Taking taylor expansion of 0 in im 13.761 * [backup-simplify]: Simplify 0 into 0 13.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.764 * [backup-simplify]: Simplify 0 into 0 13.764 * [backup-simplify]: Simplify 0 into 0 13.764 * [backup-simplify]: Simplify 0 into 0 13.764 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.764 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.765 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.765 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.765 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.765 * [taylor]: Taking taylor expansion of im in im 13.765 * [backup-simplify]: Simplify 0 into 0 13.765 * [backup-simplify]: Simplify 1 into 1 13.771 * [backup-simplify]: Simplify (* 1 1) into 1 13.772 * [backup-simplify]: Simplify (/ 1 1) into 1 13.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.772 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.772 * [taylor]: Taking taylor expansion of re in im 13.772 * [backup-simplify]: Simplify re into re 13.773 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.773 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.773 * [backup-simplify]: Simplify (+ 1 0) into 1 13.774 * [backup-simplify]: Simplify (sqrt 1) into 1 13.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.775 * [backup-simplify]: Simplify (+ 0 0) into 0 13.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.776 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.776 * [taylor]: Taking taylor expansion of im in re 13.776 * [backup-simplify]: Simplify im into im 13.777 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.777 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.777 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.777 * [taylor]: Taking taylor expansion of re in re 13.777 * [backup-simplify]: Simplify 0 into 0 13.777 * [backup-simplify]: Simplify 1 into 1 13.777 * [backup-simplify]: Simplify (* 1 1) into 1 13.778 * [backup-simplify]: Simplify (/ 1 1) into 1 13.778 * [backup-simplify]: Simplify (+ 0 1) into 1 13.779 * [backup-simplify]: Simplify (sqrt 1) into 1 13.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.780 * [backup-simplify]: Simplify (+ 0 0) into 0 13.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.781 * [taylor]: Taking taylor expansion of im in re 13.781 * [backup-simplify]: Simplify im into im 13.782 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.782 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.782 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.782 * [taylor]: Taking taylor expansion of re in re 13.782 * [backup-simplify]: Simplify 0 into 0 13.782 * [backup-simplify]: Simplify 1 into 1 13.782 * [backup-simplify]: Simplify (* 1 1) into 1 13.783 * [backup-simplify]: Simplify (/ 1 1) into 1 13.783 * [backup-simplify]: Simplify (+ 0 1) into 1 13.784 * [backup-simplify]: Simplify (sqrt 1) into 1 13.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.785 * [backup-simplify]: Simplify (+ 0 0) into 0 13.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.787 * [taylor]: Taking taylor expansion of 1 in im 13.787 * [backup-simplify]: Simplify 1 into 1 13.787 * [taylor]: Taking taylor expansion of 0 in im 13.787 * [backup-simplify]: Simplify 0 into 0 13.787 * [backup-simplify]: Simplify 1 into 1 13.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.789 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.790 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.790 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.790 * [taylor]: Taking taylor expansion of 1/2 in im 13.790 * [backup-simplify]: Simplify 1/2 into 1/2 13.790 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.790 * [taylor]: Taking taylor expansion of im in im 13.790 * [backup-simplify]: Simplify 0 into 0 13.791 * [backup-simplify]: Simplify 1 into 1 13.791 * [backup-simplify]: Simplify (* 1 1) into 1 13.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.793 * [backup-simplify]: Simplify 0 into 0 13.793 * [backup-simplify]: Simplify 0 into 0 13.793 * [backup-simplify]: Simplify 0 into 0 13.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.796 * [backup-simplify]: Simplify (+ 0 0) into 0 13.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.797 * [taylor]: Taking taylor expansion of 0 in im 13.797 * [backup-simplify]: Simplify 0 into 0 13.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.799 * [backup-simplify]: Simplify 0 into 0 13.799 * [backup-simplify]: Simplify 0 into 0 13.799 * [backup-simplify]: Simplify 0 into 0 13.799 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.799 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1) 13.800 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 13.800 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 13.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 13.800 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 13.800 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.800 * [taylor]: Taking taylor expansion of re in im 13.800 * [backup-simplify]: Simplify re into re 13.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.800 * [taylor]: Taking taylor expansion of im in im 13.800 * [backup-simplify]: Simplify 0 into 0 13.800 * [backup-simplify]: Simplify 1 into 1 13.800 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.800 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.800 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.801 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.801 * [backup-simplify]: Simplify (+ 0 0) into 0 13.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.801 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.801 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.801 * [taylor]: Taking taylor expansion of re in re 13.801 * [backup-simplify]: Simplify 0 into 0 13.801 * [backup-simplify]: Simplify 1 into 1 13.801 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.801 * [taylor]: Taking taylor expansion of im in re 13.802 * [backup-simplify]: Simplify im into im 13.802 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.802 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.802 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.802 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.802 * [backup-simplify]: Simplify (+ 0 0) into 0 13.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.803 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.803 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.803 * [taylor]: Taking taylor expansion of re in re 13.803 * [backup-simplify]: Simplify 0 into 0 13.803 * [backup-simplify]: Simplify 1 into 1 13.803 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.803 * [taylor]: Taking taylor expansion of im in re 13.803 * [backup-simplify]: Simplify im into im 13.803 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.803 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.803 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.804 * [backup-simplify]: Simplify (+ 0 0) into 0 13.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.804 * [taylor]: Taking taylor expansion of im in im 13.804 * [backup-simplify]: Simplify 0 into 0 13.804 * [backup-simplify]: Simplify 1 into 1 13.804 * [backup-simplify]: Simplify 0 into 0 13.804 * [taylor]: Taking taylor expansion of 0 in im 13.804 * [backup-simplify]: Simplify 0 into 0 13.804 * [backup-simplify]: Simplify 0 into 0 13.804 * [backup-simplify]: Simplify 1 into 1 13.805 * [backup-simplify]: Simplify (* 1 1) into 1 13.805 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.806 * [backup-simplify]: Simplify (+ 1 0) into 1 13.807 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.807 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.807 * [taylor]: Taking taylor expansion of 1/2 in im 13.807 * [backup-simplify]: Simplify 1/2 into 1/2 13.807 * [taylor]: Taking taylor expansion of im in im 13.807 * [backup-simplify]: Simplify 0 into 0 13.807 * [backup-simplify]: Simplify 1 into 1 13.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.808 * [backup-simplify]: Simplify 0 into 0 13.808 * [backup-simplify]: Simplify 0 into 0 13.808 * [backup-simplify]: Simplify 0 into 0 13.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.810 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.810 * [backup-simplify]: Simplify (+ 0 0) into 0 13.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.810 * [taylor]: Taking taylor expansion of 0 in im 13.811 * [backup-simplify]: Simplify 0 into 0 13.811 * [backup-simplify]: Simplify 0 into 0 13.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.812 * [backup-simplify]: Simplify 0 into 0 13.812 * [backup-simplify]: Simplify 0 into 0 13.812 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.812 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.812 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.812 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.812 * [taylor]: Taking taylor expansion of im in im 13.812 * [backup-simplify]: Simplify 0 into 0 13.812 * [backup-simplify]: Simplify 1 into 1 13.813 * [backup-simplify]: Simplify (* 1 1) into 1 13.814 * [backup-simplify]: Simplify (/ 1 1) into 1 13.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.814 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.814 * [taylor]: Taking taylor expansion of re in im 13.814 * [backup-simplify]: Simplify re into re 13.814 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.814 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.814 * [backup-simplify]: Simplify (+ 1 0) into 1 13.815 * [backup-simplify]: Simplify (sqrt 1) into 1 13.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.817 * [backup-simplify]: Simplify (+ 0 0) into 0 13.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.818 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.818 * [taylor]: Taking taylor expansion of im in re 13.818 * [backup-simplify]: Simplify im into im 13.818 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.818 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.818 * [taylor]: Taking taylor expansion of re in re 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify 1 into 1 13.819 * [backup-simplify]: Simplify (* 1 1) into 1 13.819 * [backup-simplify]: Simplify (/ 1 1) into 1 13.820 * [backup-simplify]: Simplify (+ 0 1) into 1 13.820 * [backup-simplify]: Simplify (sqrt 1) into 1 13.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.822 * [backup-simplify]: Simplify (+ 0 0) into 0 13.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.823 * [taylor]: Taking taylor expansion of im in re 13.823 * [backup-simplify]: Simplify im into im 13.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.823 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.823 * [taylor]: Taking taylor expansion of re in re 13.823 * [backup-simplify]: Simplify 0 into 0 13.823 * [backup-simplify]: Simplify 1 into 1 13.824 * [backup-simplify]: Simplify (* 1 1) into 1 13.824 * [backup-simplify]: Simplify (/ 1 1) into 1 13.824 * [backup-simplify]: Simplify (+ 0 1) into 1 13.825 * [backup-simplify]: Simplify (sqrt 1) into 1 13.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.827 * [backup-simplify]: Simplify (+ 0 0) into 0 13.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.828 * [taylor]: Taking taylor expansion of 1 in im 13.828 * [backup-simplify]: Simplify 1 into 1 13.828 * [taylor]: Taking taylor expansion of 0 in im 13.828 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify 1 into 1 13.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.830 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.831 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.832 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.832 * [taylor]: Taking taylor expansion of 1/2 in im 13.832 * [backup-simplify]: Simplify 1/2 into 1/2 13.832 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.832 * [taylor]: Taking taylor expansion of im in im 13.832 * [backup-simplify]: Simplify 0 into 0 13.832 * [backup-simplify]: Simplify 1 into 1 13.832 * [backup-simplify]: Simplify (* 1 1) into 1 13.833 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.834 * [backup-simplify]: Simplify 0 into 0 13.834 * [backup-simplify]: Simplify 0 into 0 13.835 * [backup-simplify]: Simplify 0 into 0 13.835 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.838 * [backup-simplify]: Simplify (+ 0 0) into 0 13.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.838 * [taylor]: Taking taylor expansion of 0 in im 13.838 * [backup-simplify]: Simplify 0 into 0 13.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.841 * [backup-simplify]: Simplify 0 into 0 13.841 * [backup-simplify]: Simplify 0 into 0 13.841 * [backup-simplify]: Simplify 0 into 0 13.841 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.841 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.841 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.841 * [taylor]: Taking taylor expansion of im in im 13.842 * [backup-simplify]: Simplify 0 into 0 13.842 * [backup-simplify]: Simplify 1 into 1 13.842 * [backup-simplify]: Simplify (* 1 1) into 1 13.842 * [backup-simplify]: Simplify (/ 1 1) into 1 13.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.842 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.842 * [taylor]: Taking taylor expansion of re in im 13.843 * [backup-simplify]: Simplify re into re 13.843 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.843 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.843 * [backup-simplify]: Simplify (+ 1 0) into 1 13.844 * [backup-simplify]: Simplify (sqrt 1) into 1 13.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.846 * [backup-simplify]: Simplify (+ 0 0) into 0 13.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.847 * [taylor]: Taking taylor expansion of im in re 13.847 * [backup-simplify]: Simplify im into im 13.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.847 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.847 * [taylor]: Taking taylor expansion of re in re 13.847 * [backup-simplify]: Simplify 0 into 0 13.847 * [backup-simplify]: Simplify 1 into 1 13.848 * [backup-simplify]: Simplify (* 1 1) into 1 13.848 * [backup-simplify]: Simplify (/ 1 1) into 1 13.848 * [backup-simplify]: Simplify (+ 0 1) into 1 13.849 * [backup-simplify]: Simplify (sqrt 1) into 1 13.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.850 * [backup-simplify]: Simplify (+ 0 0) into 0 13.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.851 * [taylor]: Taking taylor expansion of im in re 13.851 * [backup-simplify]: Simplify im into im 13.851 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.852 * [taylor]: Taking taylor expansion of re in re 13.852 * [backup-simplify]: Simplify 0 into 0 13.852 * [backup-simplify]: Simplify 1 into 1 13.852 * [backup-simplify]: Simplify (* 1 1) into 1 13.853 * [backup-simplify]: Simplify (/ 1 1) into 1 13.853 * [backup-simplify]: Simplify (+ 0 1) into 1 13.853 * [backup-simplify]: Simplify (sqrt 1) into 1 13.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.855 * [backup-simplify]: Simplify (+ 0 0) into 0 13.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.856 * [taylor]: Taking taylor expansion of 1 in im 13.856 * [backup-simplify]: Simplify 1 into 1 13.856 * [taylor]: Taking taylor expansion of 0 in im 13.856 * [backup-simplify]: Simplify 0 into 0 13.856 * [backup-simplify]: Simplify 1 into 1 13.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.858 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.859 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.859 * [taylor]: Taking taylor expansion of 1/2 in im 13.860 * [backup-simplify]: Simplify 1/2 into 1/2 13.860 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.860 * [taylor]: Taking taylor expansion of im in im 13.860 * [backup-simplify]: Simplify 0 into 0 13.860 * [backup-simplify]: Simplify 1 into 1 13.860 * [backup-simplify]: Simplify (* 1 1) into 1 13.860 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.862 * [backup-simplify]: Simplify 0 into 0 13.862 * [backup-simplify]: Simplify 0 into 0 13.862 * [backup-simplify]: Simplify 0 into 0 13.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.865 * [backup-simplify]: Simplify (+ 0 0) into 0 13.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.866 * [taylor]: Taking taylor expansion of 0 in im 13.866 * [backup-simplify]: Simplify 0 into 0 13.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify 0 into 0 13.868 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 2 1) 13.868 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 13.868 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 13.868 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 13.868 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 13.868 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.868 * [taylor]: Taking taylor expansion of re in im 13.868 * [backup-simplify]: Simplify re into re 13.868 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.868 * [taylor]: Taking taylor expansion of im in im 13.868 * [backup-simplify]: Simplify 0 into 0 13.868 * [backup-simplify]: Simplify 1 into 1 13.868 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.868 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.869 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.869 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.869 * [backup-simplify]: Simplify (+ 0 0) into 0 13.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.869 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.869 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.869 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.869 * [taylor]: Taking taylor expansion of re in re 13.869 * [backup-simplify]: Simplify 0 into 0 13.869 * [backup-simplify]: Simplify 1 into 1 13.869 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.869 * [taylor]: Taking taylor expansion of im in re 13.869 * [backup-simplify]: Simplify im into im 13.870 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.870 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.870 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.870 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.870 * [backup-simplify]: Simplify (+ 0 0) into 0 13.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.870 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.870 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.870 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.871 * [taylor]: Taking taylor expansion of re in re 13.871 * [backup-simplify]: Simplify 0 into 0 13.871 * [backup-simplify]: Simplify 1 into 1 13.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.871 * [taylor]: Taking taylor expansion of im in re 13.871 * [backup-simplify]: Simplify im into im 13.871 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.871 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.871 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.871 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.871 * [backup-simplify]: Simplify (+ 0 0) into 0 13.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.872 * [taylor]: Taking taylor expansion of im in im 13.872 * [backup-simplify]: Simplify 0 into 0 13.872 * [backup-simplify]: Simplify 1 into 1 13.872 * [backup-simplify]: Simplify 0 into 0 13.872 * [taylor]: Taking taylor expansion of 0 in im 13.872 * [backup-simplify]: Simplify 0 into 0 13.872 * [backup-simplify]: Simplify 0 into 0 13.872 * [backup-simplify]: Simplify 1 into 1 13.872 * [backup-simplify]: Simplify (* 1 1) into 1 13.873 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.873 * [backup-simplify]: Simplify (+ 1 0) into 1 13.874 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.874 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.874 * [taylor]: Taking taylor expansion of 1/2 in im 13.874 * [backup-simplify]: Simplify 1/2 into 1/2 13.874 * [taylor]: Taking taylor expansion of im in im 13.874 * [backup-simplify]: Simplify 0 into 0 13.874 * [backup-simplify]: Simplify 1 into 1 13.874 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.875 * [backup-simplify]: Simplify 0 into 0 13.875 * [backup-simplify]: Simplify 0 into 0 13.875 * [backup-simplify]: Simplify 0 into 0 13.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.877 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.877 * [backup-simplify]: Simplify (+ 0 0) into 0 13.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.877 * [taylor]: Taking taylor expansion of 0 in im 13.877 * [backup-simplify]: Simplify 0 into 0 13.877 * [backup-simplify]: Simplify 0 into 0 13.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.878 * [backup-simplify]: Simplify 0 into 0 13.878 * [backup-simplify]: Simplify 0 into 0 13.878 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.879 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.879 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.879 * [taylor]: Taking taylor expansion of im in im 13.879 * [backup-simplify]: Simplify 0 into 0 13.879 * [backup-simplify]: Simplify 1 into 1 13.879 * [backup-simplify]: Simplify (* 1 1) into 1 13.880 * [backup-simplify]: Simplify (/ 1 1) into 1 13.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.880 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.880 * [taylor]: Taking taylor expansion of re in im 13.880 * [backup-simplify]: Simplify re into re 13.880 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.880 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.880 * [backup-simplify]: Simplify (+ 1 0) into 1 13.881 * [backup-simplify]: Simplify (sqrt 1) into 1 13.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.882 * [backup-simplify]: Simplify (+ 0 0) into 0 13.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.883 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.883 * [taylor]: Taking taylor expansion of im in re 13.883 * [backup-simplify]: Simplify im into im 13.883 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.884 * [taylor]: Taking taylor expansion of re in re 13.884 * [backup-simplify]: Simplify 0 into 0 13.884 * [backup-simplify]: Simplify 1 into 1 13.884 * [backup-simplify]: Simplify (* 1 1) into 1 13.884 * [backup-simplify]: Simplify (/ 1 1) into 1 13.885 * [backup-simplify]: Simplify (+ 0 1) into 1 13.885 * [backup-simplify]: Simplify (sqrt 1) into 1 13.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.887 * [backup-simplify]: Simplify (+ 0 0) into 0 13.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.888 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.888 * [taylor]: Taking taylor expansion of im in re 13.888 * [backup-simplify]: Simplify im into im 13.888 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.888 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.888 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.888 * [taylor]: Taking taylor expansion of re in re 13.888 * [backup-simplify]: Simplify 0 into 0 13.888 * [backup-simplify]: Simplify 1 into 1 13.888 * [backup-simplify]: Simplify (* 1 1) into 1 13.889 * [backup-simplify]: Simplify (/ 1 1) into 1 13.889 * [backup-simplify]: Simplify (+ 0 1) into 1 13.889 * [backup-simplify]: Simplify (sqrt 1) into 1 13.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.891 * [backup-simplify]: Simplify (+ 0 0) into 0 13.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.892 * [taylor]: Taking taylor expansion of 1 in im 13.892 * [backup-simplify]: Simplify 1 into 1 13.892 * [taylor]: Taking taylor expansion of 0 in im 13.892 * [backup-simplify]: Simplify 0 into 0 13.892 * [backup-simplify]: Simplify 1 into 1 13.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.894 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.895 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.895 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.895 * [taylor]: Taking taylor expansion of 1/2 in im 13.895 * [backup-simplify]: Simplify 1/2 into 1/2 13.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.895 * [taylor]: Taking taylor expansion of im in im 13.895 * [backup-simplify]: Simplify 0 into 0 13.895 * [backup-simplify]: Simplify 1 into 1 13.896 * [backup-simplify]: Simplify (* 1 1) into 1 13.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.897 * [backup-simplify]: Simplify 0 into 0 13.897 * [backup-simplify]: Simplify 0 into 0 13.897 * [backup-simplify]: Simplify 0 into 0 13.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.900 * [backup-simplify]: Simplify (+ 0 0) into 0 13.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.901 * [taylor]: Taking taylor expansion of 0 in im 13.901 * [backup-simplify]: Simplify 0 into 0 13.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.903 * [backup-simplify]: Simplify 0 into 0 13.903 * [backup-simplify]: Simplify 0 into 0 13.903 * [backup-simplify]: Simplify 0 into 0 13.903 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.904 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.904 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.904 * [taylor]: Taking taylor expansion of im in im 13.904 * [backup-simplify]: Simplify 0 into 0 13.904 * [backup-simplify]: Simplify 1 into 1 13.905 * [backup-simplify]: Simplify (* 1 1) into 1 13.905 * [backup-simplify]: Simplify (/ 1 1) into 1 13.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.905 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.905 * [taylor]: Taking taylor expansion of re in im 13.905 * [backup-simplify]: Simplify re into re 13.905 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.905 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.906 * [backup-simplify]: Simplify (+ 1 0) into 1 13.906 * [backup-simplify]: Simplify (sqrt 1) into 1 13.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.908 * [backup-simplify]: Simplify (+ 0 0) into 0 13.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.909 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.909 * [taylor]: Taking taylor expansion of im in re 13.909 * [backup-simplify]: Simplify im into im 13.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.909 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.909 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.909 * [taylor]: Taking taylor expansion of re in re 13.909 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify 1 into 1 13.910 * [backup-simplify]: Simplify (* 1 1) into 1 13.910 * [backup-simplify]: Simplify (/ 1 1) into 1 13.911 * [backup-simplify]: Simplify (+ 0 1) into 1 13.911 * [backup-simplify]: Simplify (sqrt 1) into 1 13.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.913 * [backup-simplify]: Simplify (+ 0 0) into 0 13.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.914 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.914 * [taylor]: Taking taylor expansion of im in re 13.914 * [backup-simplify]: Simplify im into im 13.914 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.914 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.914 * [taylor]: Taking taylor expansion of re in re 13.914 * [backup-simplify]: Simplify 0 into 0 13.914 * [backup-simplify]: Simplify 1 into 1 13.915 * [backup-simplify]: Simplify (* 1 1) into 1 13.915 * [backup-simplify]: Simplify (/ 1 1) into 1 13.916 * [backup-simplify]: Simplify (+ 0 1) into 1 13.916 * [backup-simplify]: Simplify (sqrt 1) into 1 13.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.918 * [backup-simplify]: Simplify (+ 0 0) into 0 13.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.919 * [taylor]: Taking taylor expansion of 1 in im 13.919 * [backup-simplify]: Simplify 1 into 1 13.919 * [taylor]: Taking taylor expansion of 0 in im 13.919 * [backup-simplify]: Simplify 0 into 0 13.919 * [backup-simplify]: Simplify 1 into 1 13.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.921 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.922 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.922 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.922 * [taylor]: Taking taylor expansion of 1/2 in im 13.922 * [backup-simplify]: Simplify 1/2 into 1/2 13.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.922 * [taylor]: Taking taylor expansion of im in im 13.922 * [backup-simplify]: Simplify 0 into 0 13.922 * [backup-simplify]: Simplify 1 into 1 13.923 * [backup-simplify]: Simplify (* 1 1) into 1 13.923 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.924 * [backup-simplify]: Simplify 0 into 0 13.925 * [backup-simplify]: Simplify 0 into 0 13.925 * [backup-simplify]: Simplify 0 into 0 13.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.934 * [backup-simplify]: Simplify (+ 0 0) into 0 13.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.934 * [taylor]: Taking taylor expansion of 0 in im 13.934 * [backup-simplify]: Simplify 0 into 0 13.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.936 * [backup-simplify]: Simplify 0 into 0 13.936 * [backup-simplify]: Simplify 0 into 0 13.936 * [backup-simplify]: Simplify 0 into 0 13.937 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.937 * * * [progress]: simplifying candidates 13.938 * [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 (+ (* 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 (+ (* 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 (+ (* 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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 13.940 * * [simplify]: Extracting # 0 : cost 0 13.940 * * [simplify]: Extracting # 1 : cost 0 13.940 * * [simplify]: Extracting # 2 : cost 0 13.941 * * [simplify]: Extracting # 3 : cost 0 13.941 * * [simplify]: Extracting # 4 : cost 0 13.941 * * [simplify]: Extracting # 5 : cost 0 13.941 * * [simplify]: Extracting # 6 : cost 0 13.941 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 13.967 * * [simplify]: Extracting # 0 : cost 0 13.968 * * [simplify]: Extracting # 1 : cost 0 13.968 * * [simplify]: Extracting # 2 : cost 0 13.968 * * [simplify]: Extracting # 3 : cost 0 13.969 * * [simplify]: Extracting # 4 : cost 0 13.969 * * [simplify]: iteration 1 : 170 enodes (cost 744 ) 14.114 * * [simplify]: Extracting # 0 : cost 0 14.115 * * [simplify]: Extracting # 1 : cost 0 14.116 * * [simplify]: Extracting # 2 : cost 0 14.116 * * [simplify]: Extracting # 3 : cost 0 14.117 * * [simplify]: Extracting # 4 : cost 0 14.117 * * [simplify]: iteration 2 : 626 enodes (cost 680 ) 15.273 * * [simplify]: Extracting # 0 : cost 0 15.276 * * [simplify]: Extracting # 1 : cost 0 15.279 * * [simplify]: Extracting # 2 : cost 0 15.281 * * [simplify]: Extracting # 3 : cost 0 15.288 * * [simplify]: Extracting # 4 : cost 0 15.290 * * [simplify]: Extracting # 5 : cost 0 15.293 * * [simplify]: iteration 3 : 2817 enodes (cost 680 ) 17.097 * * [simplify]: Extracting # 0 : cost 0 17.106 * * [simplify]: Extracting # 1 : cost 0 17.113 * * [simplify]: Extracting # 2 : cost 0 17.118 * * [simplify]: Extracting # 3 : cost 0 17.124 * * [simplify]: Extracting # 4 : cost 0 17.129 * * [simplify]: iteration done: 5000 enodes (cost 680 ) 17.129 * [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 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 17.130 * * * [progress]: adding candidates to table 17.762 * [progress]: [Phase 3 of 3] Extracting. 17.762 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 17.771 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) im re) 17.772 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 17.853 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 17.910 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #) 17.981 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# #) 18.012 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 18.151 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 18.233 * * * [regime]: Found split indices: #