18.681 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.366 * * * [progress]: [2/2] Setting up program. 0.372 * [progress]: [Phase 2 of 3] Improving. 0.372 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.374 * * [simplify]: iteration 0 : 22 enodes (cost 15 ) 0.374 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.375 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) 0.378 * * [progress]: iteration 1 / 4 0.378 * * * [progress]: picking best candidate 0.381 * * * * [pick]: Picked # 0.381 * * * [progress]: localizing error 0.392 * * * [progress]: generating rewritten candidates 0.392 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.396 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.403 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2) 0.410 * * * [progress]: generating series expansions 0.410 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.410 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.410 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.411 * [taylor]: Taking taylor expansion of re in im 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.411 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.411 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.411 * [taylor]: Taking taylor expansion of im in re 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.411 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.411 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.411 * [taylor]: Taking taylor expansion of im in re 0.411 * [taylor]: Taking taylor expansion of im in im 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.412 * [taylor]: Taking taylor expansion of 1/2 in im 0.412 * [taylor]: Taking taylor expansion of im in im 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.412 * [taylor]: Taking taylor expansion of im in im 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.412 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.412 * [taylor]: Taking taylor expansion of re in im 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [taylor]: Taking taylor expansion of 1 in im 0.413 * [taylor]: Taking taylor expansion of 0 in im 0.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.414 * [taylor]: Taking taylor expansion of 1/2 in im 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.414 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.414 * [taylor]: Taking taylor expansion of re in im 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.415 * [taylor]: Taking taylor expansion of im in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.415 * [taylor]: Taking taylor expansion of re in re 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.415 * [taylor]: Taking taylor expansion of im in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.415 * [taylor]: Taking taylor expansion of re in re 0.415 * [taylor]: Taking taylor expansion of 1 in im 0.415 * [taylor]: Taking taylor expansion of 0 in im 0.416 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.416 * [taylor]: Taking taylor expansion of 1/2 in im 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.416 * [taylor]: Taking taylor expansion of 0 in im 0.416 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.416 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.416 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.416 * [taylor]: Taking taylor expansion of 2.0 in im 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.416 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.416 * [taylor]: Taking taylor expansion of re in im 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.417 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.417 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.417 * [taylor]: Taking taylor expansion of re in im 0.417 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.417 * [taylor]: Taking taylor expansion of im in im 0.417 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.417 * [taylor]: Taking taylor expansion of 2.0 in re 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.417 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.417 * [taylor]: Taking taylor expansion of re in re 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.417 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.417 * [taylor]: Taking taylor expansion of re in re 0.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.417 * [taylor]: Taking taylor expansion of im in re 0.417 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.417 * [taylor]: Taking taylor expansion of 2.0 in re 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.418 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.418 * [taylor]: Taking taylor expansion of re in re 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.418 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.418 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.418 * [taylor]: Taking taylor expansion of re in re 0.418 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.418 * [taylor]: Taking taylor expansion of im in re 0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.418 * [taylor]: Taking taylor expansion of 2.0 in im 0.418 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.418 * [taylor]: Taking taylor expansion of im in im 0.418 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.418 * [taylor]: Taking taylor expansion of 1/2 in im 0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.418 * [taylor]: Taking taylor expansion of 2.0 in im 0.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.418 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.418 * [taylor]: Taking taylor expansion of im in im 0.419 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.419 * [taylor]: Taking taylor expansion of 1/8 in im 0.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.419 * [taylor]: Taking taylor expansion of 2.0 in im 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.419 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.419 * [taylor]: Taking taylor expansion of im in im 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.421 * [taylor]: Taking taylor expansion of 2.0 in im 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.421 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.421 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.421 * [taylor]: Taking taylor expansion of 2.0 in re 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.421 * [taylor]: Taking taylor expansion of re in re 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.421 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.421 * [taylor]: Taking taylor expansion of im in re 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.422 * [taylor]: Taking taylor expansion of 2.0 in re 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.422 * [taylor]: Taking taylor expansion of im in re 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [taylor]: Taking taylor expansion of 0 in im 0.422 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.422 * [taylor]: Taking taylor expansion of 2.0 in im 0.422 * [taylor]: Taking taylor expansion of NAN in im 0.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.423 * [taylor]: Taking taylor expansion of 2.0 in im 0.423 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.423 * [taylor]: Taking taylor expansion of NAN in im 0.424 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) (* 2 (* (sqrt 2.0) (pow NAN 5)))) in im 0.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) in im 0.424 * [taylor]: Taking taylor expansion of 1/2 in im 0.424 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.424 * [taylor]: Taking taylor expansion of 2.0 in im 0.424 * [taylor]: Taking taylor expansion of NAN in im 0.424 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.424 * [taylor]: Taking taylor expansion of im in im 0.424 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 0.424 * [taylor]: Taking taylor expansion of 2 in im 0.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.424 * [taylor]: Taking taylor expansion of 2.0 in im 0.424 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.424 * [taylor]: Taking taylor expansion of NAN in im 0.426 * [taylor]: Taking taylor expansion of (- (* 3 (* (sqrt 2.0) (pow NAN 7))) (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2))) in im 0.426 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt 2.0) (pow NAN 7))) in im 0.426 * [taylor]: Taking taylor expansion of 3 in im 0.426 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 7)) in im 0.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.426 * [taylor]: Taking taylor expansion of 2.0 in im 0.426 * [taylor]: Taking taylor expansion of (pow NAN 7) in im 0.426 * [taylor]: Taking taylor expansion of NAN in im 0.426 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2)) in im 0.426 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.426 * [taylor]: Taking taylor expansion of 2.0 in im 0.426 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.426 * [taylor]: Taking taylor expansion of NAN in im 0.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.428 * [taylor]: Taking taylor expansion of 2.0 in im 0.428 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.428 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.428 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.428 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.428 * [taylor]: Taking taylor expansion of 2.0 in re 0.428 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.429 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.429 * [taylor]: Taking taylor expansion of im in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.429 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.429 * [taylor]: Taking taylor expansion of 2.0 in re 0.429 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.429 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.430 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.430 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [taylor]: Taking taylor expansion of 0 in im 0.430 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.431 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.431 * [taylor]: Taking taylor expansion of 2.0 in im 0.431 * [taylor]: Taking taylor expansion of NAN in im 0.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.432 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 4)) in im 0.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.432 * [taylor]: Taking taylor expansion of 2.0 in im 0.432 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.432 * [taylor]: Taking taylor expansion of NAN in im 0.432 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.432 * [taylor]: Taking taylor expansion of im in im 0.435 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)))) in im 0.435 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) in im 0.435 * [taylor]: Taking taylor expansion of 1/8 in im 0.435 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 4)) in im 0.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.435 * [taylor]: Taking taylor expansion of 2.0 in im 0.435 * [taylor]: Taking taylor expansion of NAN in im 0.435 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.435 * [taylor]: Taking taylor expansion of im in im 0.435 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6))) in im 0.435 * [taylor]: Taking taylor expansion of 2 in im 0.435 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)) in im 0.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.435 * [taylor]: Taking taylor expansion of 2.0 in im 0.435 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.435 * [taylor]: Taking taylor expansion of NAN in im 0.435 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.435 * [taylor]: Taking taylor expansion of im in im 0.439 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2) 0.439 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.439 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.439 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.439 * [taylor]: Taking taylor expansion of im in im 0.439 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.439 * [taylor]: Taking taylor expansion of re in re 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.439 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.439 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.439 * [taylor]: Taking taylor expansion of re in re 0.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.440 * [taylor]: Taking taylor expansion of im in re 0.440 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.440 * [taylor]: Taking taylor expansion of re in re 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.440 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.440 * [taylor]: Taking taylor expansion of re in re 0.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.440 * [taylor]: Taking taylor expansion of im in re 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [taylor]: Taking taylor expansion of 1 in im 0.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.440 * [taylor]: Taking taylor expansion of 1/2 in im 0.440 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.440 * [taylor]: Taking taylor expansion of im in im 0.441 * [taylor]: Taking taylor expansion of 0 in im 0.441 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.441 * [taylor]: Taking taylor expansion of re in im 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.441 * [taylor]: Taking taylor expansion of im in im 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.441 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.441 * [taylor]: Taking taylor expansion of re in im 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.441 * [taylor]: Taking taylor expansion of im in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.442 * [taylor]: Taking taylor expansion of im in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [taylor]: Taking taylor expansion of 2 in im 0.442 * [taylor]: Taking taylor expansion of 0 in im 0.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.443 * [taylor]: Taking taylor expansion of 1/2 in im 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.443 * [taylor]: Taking taylor expansion of im in im 0.443 * [taylor]: Taking taylor expansion of 0 in im 0.444 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.444 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.444 * [taylor]: Taking taylor expansion of im in im 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.444 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.444 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.444 * [taylor]: Taking taylor expansion of im in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.444 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.444 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.444 * [taylor]: Taking taylor expansion of im in re 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.445 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.445 * [taylor]: Taking taylor expansion of re in re 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.445 * [taylor]: Taking taylor expansion of re in re 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.445 * [taylor]: Taking taylor expansion of 1/2 in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.445 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.446 * [taylor]: Taking taylor expansion of 0 in im 0.446 * * * [progress]: simplifying candidates 0.447 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) (+ (* 1/2 (* (sqrt 2.0) (* NAN re))) (+ (* (sqrt 2.0) (* NAN im)) (* 1/8 (* (sqrt 2.0) (* (pow NAN 3) (pow re 2)))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2)))) 0 (+ re im) (* 2 re) 0 0.475 * * [simplify]: iteration 0 : 4949 enodes (cost 551 ) 0.476 * * [simplify]: iteration 1 : 4949 enodes (cost 551 ) 0.478 * [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 6) (pow im 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* re (* re (* im im)))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (pow (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))) 3) (sqrt 2.0) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))))) (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ re (sqrt (+ (* re re) (* im im)))) im re (neg re) (* (sqrt 2.0) (+ (* im NAN) (* re (+ (* 1/2 NAN) (* 1/8 (* re (pow NAN 3))))))) (+ (* (sqrt 2.0) NAN) (* (/ (sqrt 2.0) re) (- (pow NAN 3) (* 2 (/ (pow NAN 5) re))))) 0 (+ re im) (+ re re) 0 0.479 * * * [progress]: adding candidates to table 0.563 * * [progress]: iteration 2 / 4 0.563 * * * [progress]: picking best candidate 0.586 * * * * [pick]: Picked # 0.587 * * * [progress]: localizing error 0.600 * * * [progress]: generating rewritten candidates 0.600 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 2) 0.603 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2) 0.607 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.627 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.646 * * * [progress]: generating series expansions 0.646 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 2) 0.647 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.647 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.647 * [taylor]: Taking taylor expansion of re in im 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.647 * [taylor]: Taking taylor expansion of im in im 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.647 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.647 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of 0 in im 0.648 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.648 * [taylor]: Taking taylor expansion of 1/2 in im 0.648 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of 0 in im 0.648 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.648 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.648 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.648 * [taylor]: Taking taylor expansion of re in im 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of 1 in im 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.650 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.650 * [taylor]: Taking taylor expansion of 1/2 in im 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.650 * [taylor]: Taking taylor expansion of 0 in im 0.650 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of 1 in im 0.651 * [taylor]: Taking taylor expansion of 0 in im 0.652 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.652 * [taylor]: Taking taylor expansion of 1/2 in im 0.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.652 * [taylor]: Taking taylor expansion of im in im 0.652 * [taylor]: Taking taylor expansion of 0 in im 0.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2) 0.653 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.653 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.653 * [taylor]: Taking taylor expansion of re in im 0.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.653 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.653 * [taylor]: Taking taylor expansion of re in re 0.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.653 * [taylor]: Taking taylor expansion of im in re 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.653 * [taylor]: Taking taylor expansion of re in re 0.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.653 * [taylor]: Taking taylor expansion of im in re 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.654 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.654 * [taylor]: Taking taylor expansion of 1/2 in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.654 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 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 * [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 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.655 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.655 * [taylor]: Taking taylor expansion of im in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.655 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.655 * [taylor]: Taking taylor expansion of im in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of 1 in im 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.655 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.656 * [taylor]: Taking taylor expansion of 1/2 in im 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.656 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.656 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.657 * [taylor]: Taking taylor expansion of im in re 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.657 * [taylor]: Taking taylor expansion of re in re 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.657 * [taylor]: Taking taylor expansion of im in re 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.657 * [taylor]: Taking taylor expansion of re in re 0.657 * [taylor]: Taking taylor expansion of 1 in im 0.657 * [taylor]: Taking taylor expansion of 0 in im 0.658 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.658 * [taylor]: Taking taylor expansion of 1/2 in im 0.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.658 * [taylor]: Taking taylor expansion of im in im 0.658 * [taylor]: Taking taylor expansion of 0 in im 0.658 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.659 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.659 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.659 * [taylor]: Taking taylor expansion of 2.0 in im 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.659 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.659 * [taylor]: Taking taylor expansion of re in im 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.659 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.659 * [taylor]: Taking taylor expansion of re in im 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.659 * [taylor]: Taking taylor expansion of im in im 0.659 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.659 * [taylor]: Taking taylor expansion of 2.0 in re 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.659 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.659 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.660 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.660 * [taylor]: Taking taylor expansion of 2.0 in re 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.660 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.660 * [taylor]: Taking taylor expansion of re in re 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.660 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.660 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.660 * [taylor]: Taking taylor expansion of re in re 0.660 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.660 * [taylor]: Taking taylor expansion of im in re 0.660 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.660 * [taylor]: Taking taylor expansion of 2.0 in im 0.660 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.661 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.661 * [taylor]: Taking taylor expansion of 1/2 in im 0.661 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.661 * [taylor]: Taking taylor expansion of 2.0 in im 0.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.661 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.661 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.662 * [taylor]: Taking taylor expansion of 1/8 in im 0.662 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.662 * [taylor]: Taking taylor expansion of 2.0 in im 0.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.662 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.662 * [taylor]: Taking taylor expansion of im in im 0.663 * [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 0.663 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.663 * [taylor]: Taking taylor expansion of 2.0 in im 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.663 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.663 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.663 * [taylor]: Taking taylor expansion of 2.0 in re 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.664 * [taylor]: Taking taylor expansion of 2.0 in re 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of 0 in im 0.665 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.665 * [taylor]: Taking taylor expansion of 2.0 in im 0.665 * [taylor]: Taking taylor expansion of NAN in im 0.665 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.665 * [taylor]: Taking taylor expansion of 2.0 in im 0.665 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.665 * [taylor]: Taking taylor expansion of NAN in im 0.666 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) (* 2 (* (sqrt 2.0) (pow NAN 5)))) in im 0.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) in im 0.666 * [taylor]: Taking taylor expansion of 1/2 in im 0.666 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.666 * [taylor]: Taking taylor expansion of 2.0 in im 0.666 * [taylor]: Taking taylor expansion of NAN in im 0.666 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.666 * [taylor]: Taking taylor expansion of im in im 0.666 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 0.666 * [taylor]: Taking taylor expansion of 2 in im 0.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.666 * [taylor]: Taking taylor expansion of 2.0 in im 0.666 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.666 * [taylor]: Taking taylor expansion of NAN in im 0.668 * [taylor]: Taking taylor expansion of (- (* 3 (* (sqrt 2.0) (pow NAN 7))) (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2))) in im 0.668 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt 2.0) (pow NAN 7))) in im 0.668 * [taylor]: Taking taylor expansion of 3 in im 0.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 7)) in im 0.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.668 * [taylor]: Taking taylor expansion of 2.0 in im 0.668 * [taylor]: Taking taylor expansion of (pow NAN 7) in im 0.668 * [taylor]: Taking taylor expansion of NAN in im 0.668 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2)) in im 0.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.668 * [taylor]: Taking taylor expansion of 2.0 in im 0.668 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.668 * [taylor]: Taking taylor expansion of NAN in im 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.670 * [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 0.670 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.671 * [taylor]: Taking taylor expansion of 2.0 in im 0.671 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.671 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.671 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.671 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.671 * [taylor]: Taking taylor expansion of re in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.671 * [taylor]: Taking taylor expansion of re in im 0.671 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.671 * [taylor]: Taking taylor expansion of 2.0 in re 0.671 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.671 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.671 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.671 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.672 * [taylor]: Taking taylor expansion of 2.0 in re 0.672 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.672 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of 0 in im 0.673 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.673 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.673 * [taylor]: Taking taylor expansion of 2.0 in im 0.673 * [taylor]: Taking taylor expansion of NAN in im 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 4)) in im 0.674 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.674 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.674 * [taylor]: Taking taylor expansion of 2.0 in im 0.674 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.674 * [taylor]: Taking taylor expansion of NAN in im 0.674 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)))) in im 0.677 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) in im 0.677 * [taylor]: Taking taylor expansion of 1/8 in im 0.677 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 4)) in im 0.677 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.677 * [taylor]: Taking taylor expansion of 2.0 in im 0.677 * [taylor]: Taking taylor expansion of NAN in im 0.677 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.678 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6))) in im 0.678 * [taylor]: Taking taylor expansion of 2 in im 0.678 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)) in im 0.678 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.678 * [taylor]: Taking taylor expansion of 2.0 in im 0.678 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.678 * [taylor]: Taking taylor expansion of NAN in im 0.678 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.681 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.682 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.682 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.682 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.682 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.682 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.682 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [taylor]: Taking taylor expansion of im in im 0.683 * [taylor]: Taking taylor expansion of 1 in im 0.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.683 * [taylor]: Taking taylor expansion of 1/2 in im 0.683 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.683 * [taylor]: Taking taylor expansion of im in im 0.683 * [taylor]: Taking taylor expansion of 0 in im 0.684 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.684 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.685 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.685 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of 2 in im 0.685 * [taylor]: Taking taylor expansion of 0 in im 0.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.685 * [taylor]: Taking taylor expansion of 1/2 in im 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.685 * [taylor]: Taking taylor expansion of im in im 0.686 * [taylor]: Taking taylor expansion of 0 in im 0.686 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.686 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.687 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.687 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.687 * [taylor]: Taking taylor expansion of im in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.687 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.687 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.687 * [taylor]: Taking taylor expansion of im in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.687 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.688 * [taylor]: Taking taylor expansion of 0 in im 0.688 * [taylor]: Taking taylor expansion of 0 in im 0.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.688 * [taylor]: Taking taylor expansion of 1/2 in im 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.688 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of 0 in im 0.689 * * * [progress]: simplifying candidates 0.690 * [simplify]: Simplifying using # : (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 (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (exp (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (cbrt (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) (cbrt (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (* (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt 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1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ 1 1) (+ (log (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (log (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (log (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (exp (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (* (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (cbrt (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (* 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(sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im 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(+ (* re re) (* im im))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt 1)) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt 1)) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 1) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))))) (* (sqrt (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) im re (* -1 re) im re (* -1 re) (+ (* 1/2 (* (sqrt 2.0) (* NAN re))) (+ (* (sqrt 2.0) (* NAN im)) (* 1/8 (* (sqrt 2.0) (* (pow NAN 3) (pow re 2)))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2)))) 0 (+ re im) (* 2 re) 0 0.748 * * [simplify]: iteration 0 : 5115 enodes (cost 1713 ) 0.755 * [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 6) (pow im 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* re (* re (* im im)))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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 6) (pow im 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* re (* re (* im im)))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (pow (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))) 3) (sqrt 2.0) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (* 2.0 (* (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (neg (* im im)))))) (sqrt (* (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (- re (sqrt (+ (* re re) (* im im))))))) (sqrt (* 2.0 (* (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (neg (* im im)))))) (sqrt (* (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (- re (sqrt (+ (* re re) (* im im))))))) (sqrt (* 2.0 (neg (* im im)))) (sqrt (- re (sqrt (+ (* re re) (* im im))))) (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))) (sqrt (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))))) (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (neg (* im im)))))) (sqrt (sqrt (- re (sqrt (+ (* re re) (* im im)))))) (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))) (sqrt (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))))) (sqrt (* 2.0 (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (neg (* im im)))))) (sqrt (sqrt (- re (sqrt (+ (* re re) (* im im)))))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) 1 1 2 1 1 (pow (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 4) (+ re (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 4) 2 (log (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (pow (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 4) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (pow (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 4) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))) (* (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (neg (* im im)))) (* (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (- re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (neg (* im im)))) (* (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (- re (sqrt (+ (* re re) (* im im)))))) (neg (* im im)) (- re (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 4) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 4) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 1 (+ re (sqrt (+ (* re re) (* im im)))) 1 (+ re (sqrt (+ (* re re) (* im im)))) 1 (+ re (sqrt (+ (* re re) (* im im)))) 1 (+ re (sqrt (+ (* re re) (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 1 (+ re (sqrt (+ (* re re) (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 1 2 1 (pow (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 5) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (fabs (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (pow (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 4) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (pow (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 3) (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 3) (+ re (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (neg (* im im)))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (neg (* im im)))) im re (neg re) im re (neg re) (* (sqrt 2.0) (+ (* im NAN) (* re (+ (* NAN 1/2) (* (* re (pow NAN 3)) 1/8))))) (+ (* (sqrt 2.0) NAN) (* (/ (sqrt 2.0) re) (- (pow NAN 3) (* (/ (pow NAN 5) re) 2)))) 0 (+ re im) (+ re re) 0 0.756 * * * [progress]: adding candidates to table 0.874 * * [progress]: iteration 3 / 4 0.874 * * * [progress]: picking best candidate 0.895 * * * * [pick]: Picked # 0.895 * * * [progress]: localizing error 0.909 * * * [progress]: generating rewritten candidates 0.909 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2) 0.913 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.920 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.928 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.935 * * * [progress]: generating series expansions 0.935 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2) 0.935 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.936 * [taylor]: Taking taylor expansion of re in im 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.936 * [taylor]: Taking taylor expansion of im in re 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.936 * [taylor]: Taking taylor expansion of im in re 0.937 * [taylor]: Taking taylor expansion of im in im 0.937 * [taylor]: Taking taylor expansion of 0 in im 0.937 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.937 * [taylor]: Taking taylor expansion of 1/2 in im 0.937 * [taylor]: Taking taylor expansion of im in im 0.937 * [taylor]: Taking taylor expansion of 0 in im 0.937 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.937 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.937 * [taylor]: Taking taylor expansion of im in im 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.937 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.937 * [taylor]: Taking taylor expansion of re in im 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.938 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.938 * [taylor]: Taking taylor expansion of im in re 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.938 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.938 * [taylor]: Taking taylor expansion of re in re 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.938 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.938 * [taylor]: Taking taylor expansion of im in re 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.938 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.938 * [taylor]: Taking taylor expansion of re in re 0.938 * [taylor]: Taking taylor expansion of 1 in im 0.938 * [taylor]: Taking taylor expansion of 0 in im 0.938 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.939 * [taylor]: Taking taylor expansion of 1/2 in im 0.939 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.939 * [taylor]: Taking taylor expansion of im in im 0.939 * [taylor]: Taking taylor expansion of 0 in im 0.939 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.939 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.939 * [taylor]: Taking taylor expansion of im in im 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.939 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.939 * [taylor]: Taking taylor expansion of re in im 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.940 * [taylor]: Taking taylor expansion of im in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.940 * [taylor]: Taking taylor expansion of re in re 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.940 * [taylor]: Taking taylor expansion of im in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.940 * [taylor]: Taking taylor expansion of re in re 0.940 * [taylor]: Taking taylor expansion of 1 in im 0.940 * [taylor]: Taking taylor expansion of 0 in im 0.941 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.941 * [taylor]: Taking taylor expansion of 1/2 in im 0.941 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.941 * [taylor]: Taking taylor expansion of im in im 0.941 * [taylor]: Taking taylor expansion of 0 in im 0.941 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.941 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.941 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.941 * [taylor]: Taking taylor expansion of re in im 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.941 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.941 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.942 * [taylor]: Taking taylor expansion of re in im 0.942 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.942 * [taylor]: Taking taylor expansion of im in im 0.942 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.942 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.942 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.942 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.942 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of im in im 0.943 * [taylor]: Taking taylor expansion of 1 in im 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.943 * [taylor]: Taking taylor expansion of 1/2 in im 0.943 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.943 * [taylor]: Taking taylor expansion of im in im 0.943 * [taylor]: Taking taylor expansion of 0 in im 0.943 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.943 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.943 * [taylor]: Taking taylor expansion of re in im 0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.943 * [taylor]: Taking taylor expansion of im in im 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.944 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.944 * [taylor]: Taking taylor expansion of re in im 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.944 * [taylor]: Taking taylor expansion of im in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.944 * [taylor]: Taking taylor expansion of im in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [taylor]: Taking taylor expansion of 2 in im 0.945 * [taylor]: Taking taylor expansion of 0 in im 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.945 * [taylor]: Taking taylor expansion of 1/2 in im 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.945 * [taylor]: Taking taylor expansion of 0 in im 0.946 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.946 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.946 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.946 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.946 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.946 * [taylor]: Taking taylor expansion of re in im 0.946 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.946 * [taylor]: Taking taylor expansion of re in im 0.946 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.946 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.946 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.946 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.947 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.947 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.947 * [taylor]: Taking taylor expansion of im in re 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.947 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.947 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of 0 in im 0.947 * [taylor]: Taking taylor expansion of 0 in im 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.948 * [taylor]: Taking taylor expansion of 1/2 in im 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.948 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.948 * [taylor]: Taking taylor expansion of im in im 0.948 * [taylor]: Taking taylor expansion of 0 in im 0.948 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.948 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.948 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.948 * [taylor]: Taking taylor expansion of 2.0 in im 0.949 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.949 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.949 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.949 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.949 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.949 * [taylor]: Taking taylor expansion of 2.0 in re 0.949 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.949 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.949 * [taylor]: Taking taylor expansion of re in re 0.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.949 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.949 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.949 * [taylor]: Taking taylor expansion of re in re 0.949 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.949 * [taylor]: Taking taylor expansion of im in re 0.950 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.950 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.950 * [taylor]: Taking taylor expansion of 2.0 in re 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.950 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.950 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.950 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.950 * [taylor]: Taking taylor expansion of im in re 0.950 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.950 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.950 * [taylor]: Taking taylor expansion of 2.0 in im 0.950 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.950 * [taylor]: Taking taylor expansion of im in im 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.951 * [taylor]: Taking taylor expansion of 1/2 in im 0.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.951 * [taylor]: Taking taylor expansion of 2.0 in im 0.951 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.951 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.951 * [taylor]: Taking taylor expansion of 1/8 in im 0.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.952 * [taylor]: Taking taylor expansion of 2.0 in im 0.952 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.952 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.952 * [taylor]: Taking taylor expansion of im in im 0.953 * [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 0.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.953 * [taylor]: Taking taylor expansion of 2.0 in im 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.953 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.953 * [taylor]: Taking taylor expansion of re in im 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.953 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.953 * [taylor]: Taking taylor expansion of im in im 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.953 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.953 * [taylor]: Taking taylor expansion of re in im 0.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.953 * [taylor]: Taking taylor expansion of 2.0 in re 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.953 * [taylor]: Taking taylor expansion of re in re 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.954 * [taylor]: Taking taylor expansion of im in re 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.954 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.954 * [taylor]: Taking taylor expansion of re in re 0.954 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.954 * [taylor]: Taking taylor expansion of 2.0 in re 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.954 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.954 * [taylor]: Taking taylor expansion of re in re 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.954 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.954 * [taylor]: Taking taylor expansion of im in re 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.954 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.954 * [taylor]: Taking taylor expansion of re in re 0.954 * [taylor]: Taking taylor expansion of 0 in im 0.954 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.954 * [taylor]: Taking taylor expansion of 2.0 in im 0.954 * [taylor]: Taking taylor expansion of NAN in im 0.955 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.955 * [taylor]: Taking taylor expansion of 2.0 in im 0.955 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.955 * [taylor]: Taking taylor expansion of NAN in im 0.956 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) (* 2 (* (sqrt 2.0) (pow NAN 5)))) in im 0.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) in im 0.956 * [taylor]: Taking taylor expansion of 1/2 in im 0.956 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.956 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.956 * [taylor]: Taking taylor expansion of 2.0 in im 0.956 * [taylor]: Taking taylor expansion of NAN in im 0.956 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.956 * [taylor]: Taking taylor expansion of im in im 0.956 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 0.956 * [taylor]: Taking taylor expansion of 2 in im 0.956 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.956 * [taylor]: Taking taylor expansion of 2.0 in im 0.956 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.956 * [taylor]: Taking taylor expansion of NAN in im 0.958 * [taylor]: Taking taylor expansion of (- (* 3 (* (sqrt 2.0) (pow NAN 7))) (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2))) in im 0.958 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt 2.0) (pow NAN 7))) in im 0.958 * [taylor]: Taking taylor expansion of 3 in im 0.958 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 7)) in im 0.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.958 * [taylor]: Taking taylor expansion of 2.0 in im 0.958 * [taylor]: Taking taylor expansion of (pow NAN 7) in im 0.958 * [taylor]: Taking taylor expansion of NAN in im 0.958 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2)) in im 0.958 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.958 * [taylor]: Taking taylor expansion of 2.0 in im 0.958 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.958 * [taylor]: Taking taylor expansion of NAN in im 0.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.958 * [taylor]: Taking taylor expansion of im in im 0.962 * [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 0.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.962 * [taylor]: Taking taylor expansion of 2.0 in im 0.962 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.962 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.962 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.962 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.962 * [taylor]: Taking taylor expansion of re in im 0.963 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.963 * [taylor]: Taking taylor expansion of re in im 0.963 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.963 * [taylor]: Taking taylor expansion of 2.0 in re 0.963 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.963 * [taylor]: Taking taylor expansion of im in re 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.963 * [taylor]: Taking taylor expansion of re in re 0.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.963 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.964 * [taylor]: Taking taylor expansion of 2.0 in re 0.964 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.964 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.964 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.964 * [taylor]: Taking taylor expansion of im in re 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.964 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.964 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.964 * [taylor]: Taking taylor expansion of re in re 0.965 * [taylor]: Taking taylor expansion of 0 in im 0.965 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.965 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.965 * [taylor]: Taking taylor expansion of 2.0 in im 0.965 * [taylor]: Taking taylor expansion of NAN in im 0.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.965 * [taylor]: Taking taylor expansion of im in im 0.966 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 4)) in im 0.966 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.966 * [taylor]: Taking taylor expansion of 2.0 in im 0.966 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.966 * [taylor]: Taking taylor expansion of NAN in im 0.966 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.966 * [taylor]: Taking taylor expansion of im in im 0.969 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)))) in im 0.969 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) in im 0.969 * [taylor]: Taking taylor expansion of 1/8 in im 0.969 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 4)) in im 0.969 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.969 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.969 * [taylor]: Taking taylor expansion of 2.0 in im 0.969 * [taylor]: Taking taylor expansion of NAN in im 0.969 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.969 * [taylor]: Taking taylor expansion of im in im 0.969 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6))) in im 0.969 * [taylor]: Taking taylor expansion of 2 in im 0.969 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)) in im 0.969 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.969 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.969 * [taylor]: Taking taylor expansion of 2.0 in im 0.969 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.969 * [taylor]: Taking taylor expansion of NAN in im 0.969 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.969 * [taylor]: Taking taylor expansion of im in im 0.973 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.973 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.973 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.973 * [taylor]: Taking taylor expansion of re in im 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.973 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.973 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.973 * [taylor]: Taking taylor expansion of re in im 0.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.974 * [taylor]: Taking taylor expansion of im in im 0.974 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.974 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.974 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.974 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.975 * [taylor]: Taking taylor expansion of im in im 0.975 * [taylor]: Taking taylor expansion of 1 in im 0.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.975 * [taylor]: Taking taylor expansion of 1/2 in im 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.975 * [taylor]: Taking taylor expansion of im in im 0.975 * [taylor]: Taking taylor expansion of 0 in im 0.975 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.975 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.975 * [taylor]: Taking taylor expansion of re in im 0.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.976 * [taylor]: Taking taylor expansion of im in im 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.976 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.976 * [taylor]: Taking taylor expansion of re in im 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.976 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.976 * [taylor]: Taking taylor expansion of im in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.976 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.976 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.976 * [taylor]: Taking taylor expansion of im in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.976 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.977 * [taylor]: Taking taylor expansion of 2 in im 0.977 * [taylor]: Taking taylor expansion of 0 in im 0.977 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.977 * [taylor]: Taking taylor expansion of 1/2 in im 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.977 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.977 * [taylor]: Taking taylor expansion of im in im 0.978 * [taylor]: Taking taylor expansion of 0 in im 0.978 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.978 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.978 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.978 * [taylor]: Taking taylor expansion of im in im 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.978 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.978 * [taylor]: Taking taylor expansion of re in im 0.978 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.978 * [taylor]: Taking taylor expansion of re in im 0.978 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.979 * [taylor]: Taking taylor expansion of im in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [taylor]: Taking taylor expansion of 0 in im 0.979 * [taylor]: Taking taylor expansion of 0 in im 0.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.980 * [taylor]: Taking taylor expansion of 1/2 in im 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.980 * [taylor]: Taking taylor expansion of im in im 0.980 * [taylor]: Taking taylor expansion of 0 in im 0.980 * * * [progress]: simplifying candidates 0.981 * [simplify]: Simplifying using # : (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 1) (exp (* (cbrt (log (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (log (+ re (sqrt (+ (* re re) (* im im)))))))) (exp (sqrt (log (+ re (sqrt (+ (* re re) (* im im))))))) (exp 1) (exp (log (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (exp (log (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (exp (log (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (exp (log (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (exp (log 1)) (exp (log (+ re (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (+ re (sqrt (+ (* re re) (* im im)))))) (exp (log (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)))) (exp (log (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im)))))))) (exp (log (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))))) (exp (log (- re (sqrt (+ (* re re) (* im im)))))) (log (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (exp (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (* (cbrt (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (* (* (exp (log (+ re (sqrt (+ (* re re) (* im im)))))) (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (log (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (exp (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (* (cbrt (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im)))))))))) (cbrt (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (* (* (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (sqrt 2.0) (sqrt (exp (log (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (* 2.0 (exp (log (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)))))) (sqrt (exp (log (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im))))))))) (sqrt (* 2.0 (exp (log (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))))))) (sqrt (exp (log (- re (sqrt (+ (* re re) (* im im))))))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (sqrt (sqrt (* 2.0 (exp (log (+ re (sqrt (+ (* re re) (* im im))))))))) (* (exp re) (exp (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) (- re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (* 1/2 (* (sqrt 2.0) (* NAN re))) (+ (* (sqrt 2.0) (* NAN im)) (* 1/8 (* (sqrt 2.0) (* (pow NAN 3) (pow re 2)))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2)))) 0 (+ re im) (* 2 re) 0 1.011 * * [simplify]: iteration 0 : 5120 enodes (cost 785 ) 1.015 * [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 6) (pow im 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* re (* re (* im im)))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) E (pow (exp (cbrt (log (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (log (+ re (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (+ re (sqrt (+ (* re re) (* im im))))))) E (pow (cbrt (+ re (sqrt (+ (* re re) (* im im))))) 2) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 1 (+ re (sqrt (+ (* re re) (* im im)))) 1 (+ re (sqrt (+ (* re re) (* im im)))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))) (* im (neg im)) (- re (sqrt (+ (* re re) (* im im)))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (pow (cbrt (+ re (sqrt (+ (* re re) (* im im))))) 2) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (log (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (exp (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 3) (sqrt 2.0) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (* (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) 2.0)) (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (* (* im (neg im)) 2.0)) (sqrt (- re (sqrt (+ (* re re) (* im im))))) 1/2 1/2 (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (pow (cbrt (+ re (sqrt (+ (* re re) (* im im))))) 2) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))) (* im (neg im)) (- re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) im re (neg re) (+ re im) (+ re re) 0 (* (sqrt 2.0) (+ (* im NAN) (* re (+ (* 1/2 NAN) (* 1/8 (* re (pow NAN 3))))))) (+ (* (sqrt 2.0) NAN) (* (/ (sqrt 2.0) re) (- (pow NAN 3) (* 2 (/ (pow NAN 5) re))))) 0 (+ re im) (+ re re) 0 1.015 * * * [progress]: adding candidates to table 1.106 * * [progress]: iteration 4 / 4 1.106 * * * [progress]: picking best candidate 1.132 * * * * [pick]: Picked # 1.132 * * * [progress]: localizing error 1.147 * * * [progress]: generating rewritten candidates 1.147 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.160 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.178 * * * [progress]: generating series expansions 1.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.178 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.178 * [taylor]: Taking taylor expansion of re in im 1.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.178 * [taylor]: Taking taylor expansion of im in im 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.178 * [taylor]: Taking taylor expansion of re in re 1.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.179 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.179 * [taylor]: Taking taylor expansion of re in re 1.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.179 * [taylor]: Taking taylor expansion of im in re 1.179 * [taylor]: Taking taylor expansion of im in im 1.179 * [taylor]: Taking taylor expansion of 0 in im 1.179 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.179 * [taylor]: Taking taylor expansion of 1/2 in im 1.179 * [taylor]: Taking taylor expansion of im in im 1.179 * [taylor]: Taking taylor expansion of 0 in im 1.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.180 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.180 * [taylor]: Taking taylor expansion of re in im 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of 1 in im 1.181 * [taylor]: Taking taylor expansion of 0 in im 1.181 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.181 * [taylor]: Taking taylor expansion of 1/2 in im 1.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.181 * [taylor]: Taking taylor expansion of im in im 1.181 * [taylor]: Taking taylor expansion of 0 in im 1.182 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.182 * [taylor]: Taking taylor expansion of im in im 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.182 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.182 * [taylor]: Taking taylor expansion of re in im 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.182 * [taylor]: Taking taylor expansion of im in re 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.182 * [taylor]: Taking taylor expansion of re in re 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.182 * [taylor]: Taking taylor expansion of im in re 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.182 * [taylor]: Taking taylor expansion of re in re 1.183 * [taylor]: Taking taylor expansion of 1 in im 1.183 * [taylor]: Taking taylor expansion of 0 in im 1.183 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.183 * [taylor]: Taking taylor expansion of 1/2 in im 1.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.183 * [taylor]: Taking taylor expansion of 0 in im 1.184 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.184 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.184 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.184 * [taylor]: Taking taylor expansion of re in im 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.184 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.184 * [taylor]: Taking taylor expansion of re in im 1.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.184 * [taylor]: Taking taylor expansion of im in im 1.184 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.184 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.185 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of im in im 1.185 * [taylor]: Taking taylor expansion of 1 in im 1.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.185 * [taylor]: Taking taylor expansion of 1/2 in im 1.185 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.185 * [taylor]: Taking taylor expansion of im in im 1.185 * [taylor]: Taking taylor expansion of 0 in im 1.186 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.186 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.186 * [taylor]: Taking taylor expansion of re in im 1.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.186 * [taylor]: Taking taylor expansion of im in im 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.186 * [taylor]: Taking taylor expansion of re in im 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.186 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.186 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.186 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.186 * [taylor]: Taking taylor expansion of im in re 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.186 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.187 * [taylor]: Taking taylor expansion of im in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [taylor]: Taking taylor expansion of 2 in im 1.187 * [taylor]: Taking taylor expansion of 0 in im 1.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.187 * [taylor]: Taking taylor expansion of 1/2 in im 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.187 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.187 * [taylor]: Taking taylor expansion of im in im 1.188 * [taylor]: Taking taylor expansion of 0 in im 1.188 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.188 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.188 * [taylor]: Taking taylor expansion of im in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.188 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.188 * [taylor]: Taking taylor expansion of re in im 1.189 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.189 * [taylor]: Taking taylor expansion of re in im 1.189 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.189 * [taylor]: Taking taylor expansion of im in re 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.189 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.189 * [taylor]: Taking taylor expansion of re in re 1.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.189 * [taylor]: Taking taylor expansion of re in re 1.189 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.189 * [taylor]: Taking taylor expansion of im in re 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.189 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.189 * [taylor]: Taking taylor expansion of re in re 1.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.189 * [taylor]: Taking taylor expansion of re in re 1.189 * [taylor]: Taking taylor expansion of 0 in im 1.190 * [taylor]: Taking taylor expansion of 0 in im 1.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.190 * [taylor]: Taking taylor expansion of 1/2 in im 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.190 * [taylor]: Taking taylor expansion of im in im 1.190 * [taylor]: Taking taylor expansion of 0 in im 1.191 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.191 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.191 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.191 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.191 * [taylor]: Taking taylor expansion of re in im 1.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.191 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.191 * [taylor]: Taking taylor expansion of re in re 1.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.191 * [taylor]: Taking taylor expansion of im in re 1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.191 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.191 * [taylor]: Taking taylor expansion of re in re 1.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.192 * [taylor]: Taking taylor expansion of im in re 1.192 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of 0 in im 1.192 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.192 * [taylor]: Taking taylor expansion of 1/2 in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of 0 in im 1.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.193 * [taylor]: Taking taylor expansion of im in im 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.193 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.193 * [taylor]: Taking taylor expansion of re in im 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.194 * [taylor]: Taking taylor expansion of 1 in im 1.194 * [taylor]: Taking taylor expansion of 0 in im 1.194 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.194 * [taylor]: Taking taylor expansion of 1/2 in im 1.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.194 * [taylor]: Taking taylor expansion of im in im 1.194 * [taylor]: Taking taylor expansion of 0 in im 1.195 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.195 * [taylor]: Taking taylor expansion of im in im 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.195 * [taylor]: Taking taylor expansion of re in im 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.196 * [taylor]: Taking taylor expansion of 1 in im 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.196 * [taylor]: Taking taylor expansion of 1/2 in im 1.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.196 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.197 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.197 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 1.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.197 * [taylor]: Taking taylor expansion of 2.0 in im 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.197 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.197 * [taylor]: Taking taylor expansion of re in im 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.197 * [taylor]: Taking taylor expansion of re in im 1.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.197 * [taylor]: Taking taylor expansion of 2.0 in re 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.197 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.197 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.198 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.198 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.198 * [taylor]: Taking taylor expansion of im in re 1.198 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.198 * [taylor]: Taking taylor expansion of 2.0 in re 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.198 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.198 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.198 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.198 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.198 * [taylor]: Taking taylor expansion of im in re 1.198 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.198 * [taylor]: Taking taylor expansion of 2.0 in im 1.198 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.199 * [taylor]: Taking taylor expansion of im in im 1.199 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.199 * [taylor]: Taking taylor expansion of 1/2 in im 1.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.199 * [taylor]: Taking taylor expansion of 2.0 in im 1.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.199 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.199 * [taylor]: Taking taylor expansion of im in im 1.200 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.200 * [taylor]: Taking taylor expansion of 1/8 in im 1.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.200 * [taylor]: Taking taylor expansion of 2.0 in im 1.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.200 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.201 * [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 1.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.201 * [taylor]: Taking taylor expansion of 2.0 in im 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.201 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.201 * [taylor]: Taking taylor expansion of re in im 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.201 * [taylor]: Taking taylor expansion of im in im 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.201 * [taylor]: Taking taylor expansion of re in im 1.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.201 * [taylor]: Taking taylor expansion of 2.0 in re 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.202 * [taylor]: Taking taylor expansion of 2.0 in re 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of 0 in im 1.203 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.203 * [taylor]: Taking taylor expansion of 2.0 in im 1.203 * [taylor]: Taking taylor expansion of NAN in im 1.203 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.203 * [taylor]: Taking taylor expansion of 2.0 in im 1.203 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.203 * [taylor]: Taking taylor expansion of NAN in im 1.204 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) (* 2 (* (sqrt 2.0) (pow NAN 5)))) in im 1.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) in im 1.204 * [taylor]: Taking taylor expansion of 1/2 in im 1.204 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 1.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.204 * [taylor]: Taking taylor expansion of 2.0 in im 1.204 * [taylor]: Taking taylor expansion of NAN in im 1.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 1.204 * [taylor]: Taking taylor expansion of 2 in im 1.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 1.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.204 * [taylor]: Taking taylor expansion of 2.0 in im 1.204 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 1.204 * [taylor]: Taking taylor expansion of NAN in im 1.206 * [taylor]: Taking taylor expansion of (- (* 3 (* (sqrt 2.0) (pow NAN 7))) (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2))) in im 1.206 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt 2.0) (pow NAN 7))) in im 1.206 * [taylor]: Taking taylor expansion of 3 in im 1.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 7)) in im 1.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.206 * [taylor]: Taking taylor expansion of 2.0 in im 1.206 * [taylor]: Taking taylor expansion of (pow NAN 7) in im 1.206 * [taylor]: Taking taylor expansion of NAN in im 1.206 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2)) in im 1.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.206 * [taylor]: Taking taylor expansion of 2.0 in im 1.206 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.206 * [taylor]: Taking taylor expansion of NAN in im 1.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.208 * [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 1.208 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.208 * [taylor]: Taking taylor expansion of 2.0 in im 1.208 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.209 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.209 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.209 * [taylor]: Taking taylor expansion of re in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.209 * [taylor]: Taking taylor expansion of re in im 1.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.209 * [taylor]: Taking taylor expansion of 2.0 in re 1.209 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.209 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.209 * [taylor]: Taking taylor expansion of im in re 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.210 * [taylor]: Taking taylor expansion of 2.0 in re 1.210 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.210 * [taylor]: Taking taylor expansion of im in re 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.211 * [taylor]: Taking taylor expansion of 0 in im 1.211 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 1.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.211 * [taylor]: Taking taylor expansion of 2.0 in im 1.211 * [taylor]: Taking taylor expansion of NAN in im 1.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.211 * [taylor]: Taking taylor expansion of im in im 1.214 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 4)) in im 1.214 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.214 * [taylor]: Taking taylor expansion of 2.0 in im 1.214 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.214 * [taylor]: Taking taylor expansion of NAN in im 1.214 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.217 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)))) in im 1.217 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) in im 1.217 * [taylor]: Taking taylor expansion of 1/8 in im 1.217 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 4)) in im 1.217 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.217 * [taylor]: Taking taylor expansion of 2.0 in im 1.217 * [taylor]: Taking taylor expansion of NAN in im 1.217 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.217 * [taylor]: Taking taylor expansion of im in im 1.218 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6))) in im 1.218 * [taylor]: Taking taylor expansion of 2 in im 1.218 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)) in im 1.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 1.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.218 * [taylor]: Taking taylor expansion of 2.0 in im 1.218 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 1.218 * [taylor]: Taking taylor expansion of NAN in im 1.218 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.218 * [taylor]: Taking taylor expansion of im in im 1.222 * * * [progress]: simplifying candidates 1.223 * [simplify]: Simplifying using # : (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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (log (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (* (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt 2.0) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (* 2.0 (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (* 1/2 (* (sqrt 2.0) (* NAN re))) (+ (* (sqrt 2.0) (* NAN im)) (* 1/8 (* (sqrt 2.0) (* (pow NAN 3) (pow re 2)))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2)))) 0 1.253 * * [simplify]: iteration 0 : 4936 enodes (cost 784 ) 1.253 * * [simplify]: iteration 1 : 4936 enodes (cost 784 ) 1.257 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (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 6) (pow im 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* re (* re (* im im)))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ re (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (exp 1/2) (pow (exp (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (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)))) 1 (sqrt (+ (* 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 6) (pow im 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* re (* re (* im im)))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (exp (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (* (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)))) (cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (pow (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)) 3) (sqrt 2.0) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (* (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) 2.0)) (sqrt (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))))) (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) (sqrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0))) im re (neg re) (+ re im) (+ re re) 0 im re (neg re) (* (sqrt 2.0) (+ (* im NAN) (* re (+ (* NAN 1/2) (* (* re (pow NAN 3)) 1/8))))) (+ (* (sqrt 2.0) NAN) (* (/ (sqrt 2.0) re) (- (pow NAN 3) (* 2 (/ (pow NAN 5) re))))) 0 1.257 * * * [progress]: adding candidates to table 1.347 * [progress]: [Phase 3 of 3] Extracting. 1.347 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.348 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re) 1.348 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 1.416 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 1.473 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # #) 1.543 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# #) 1.579 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # #) 1.651 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# #) 1.686 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # #) 1.761 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# #) 1.803 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # #) 1.877 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# #) 1.919 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 2.000 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 2.091 * * * [regime]: Found split indices: #