1.177 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.109 * * * [progress]: [2/2] Setting up program. 0.116 * [progress]: [Phase 2 of 3] Improving. 0.120 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.121 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.122 * * [simplify]: Extracting # 2 : cost 0 0.122 * * [simplify]: Extracting # 3 : cost 0 0.122 * * [simplify]: Extracting # 4 : cost 0 0.122 * * [simplify]: Extracting # 5 : cost 0 0.122 * * [simplify]: Extracting # 6 : cost 0 0.122 * * [simplify]: Extracting # 7 : cost 0 0.122 * * [simplify]: Extracting # 8 : cost 0 0.122 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.180 * * [simplify]: Extracting # 0 : cost 0 0.180 * * [simplify]: Extracting # 1 : cost 0 0.180 * * [simplify]: Extracting # 2 : cost 0 0.180 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.186 * * [simplify]: Extracting # 0 : cost 0 0.186 * * [simplify]: Extracting # 1 : cost 0 0.186 * * [simplify]: Extracting # 2 : cost 0 0.186 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.196 * * [simplify]: Extracting # 0 : cost 0 0.196 * * [simplify]: Extracting # 1 : cost 0 0.196 * * [simplify]: Extracting # 2 : cost 0 0.196 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.206 * * [simplify]: Extracting # 0 : cost 0 0.206 * * [simplify]: Extracting # 1 : cost 0 0.206 * * [simplify]: Extracting # 2 : cost 0 0.206 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.218 * * [simplify]: Extracting # 0 : cost 0 0.218 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.218 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.221 * * [progress]: iteration 1 / 4 0.221 * * * [progress]: picking best candidate 0.226 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.260 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.281 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.389 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.400 * * * [progress]: generating series expansions 0.400 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.405 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.405 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.407 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.407 * [taylor]: Taking taylor expansion of re in im 0.407 * [backup-simplify]: Simplify re into re 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.409 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.409 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.409 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.410 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.410 * [taylor]: Taking taylor expansion of im in re 0.410 * [backup-simplify]: Simplify im into im 0.410 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.411 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.411 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.411 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [backup-simplify]: Simplify im into im 0.412 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.412 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.412 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.419 * [taylor]: Taking taylor expansion of im in im 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [taylor]: Taking taylor expansion of 0 in im 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.422 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.423 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.423 * [taylor]: Taking taylor expansion of 1/2 in im 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of im in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.427 * [taylor]: Taking taylor expansion of 0 in im 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.429 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.429 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.430 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [backup-simplify]: Simplify re into re 0.431 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.431 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.431 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (sqrt 1) into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.435 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.435 * [taylor]: Taking taylor expansion of im in re 0.435 * [backup-simplify]: Simplify im into im 0.435 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.435 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.435 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.435 * [taylor]: Taking taylor expansion of re in re 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (sqrt 1) into 1 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.440 * [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 0.441 * [backup-simplify]: Simplify im into im 0.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.441 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [backup-simplify]: Simplify (sqrt 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.447 * [taylor]: Taking taylor expansion of 1 in im 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of 0 in im 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.451 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.451 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.451 * [taylor]: Taking taylor expansion of 1/2 in im 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in im 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.460 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.460 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.461 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.461 * [taylor]: Taking taylor expansion of re in im 0.461 * [backup-simplify]: Simplify re into re 0.461 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.461 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (sqrt 1) into 1 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.465 * [backup-simplify]: Simplify im into im 0.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.465 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (+ 0 1) into 1 0.467 * [backup-simplify]: Simplify (sqrt 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.469 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.469 * [taylor]: Taking taylor expansion of im in re 0.469 * [backup-simplify]: Simplify im into im 0.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.470 * [taylor]: Taking taylor expansion of re in re 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.471 * [backup-simplify]: Simplify (sqrt 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.474 * [taylor]: Taking taylor expansion of 1 in im 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [taylor]: Taking taylor expansion of 0 in im 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.478 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.478 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.478 * [taylor]: Taking taylor expansion of 1/2 in im 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.484 * [taylor]: Taking taylor expansion of 0 in im 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.486 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.486 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.486 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.486 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.487 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.487 * [taylor]: Taking taylor expansion of re in im 0.487 * [backup-simplify]: Simplify re into re 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.487 * [taylor]: Taking taylor expansion of im in im 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.487 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.487 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.487 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.488 * [taylor]: Taking taylor expansion of re in im 0.488 * [backup-simplify]: Simplify re into re 0.488 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.488 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.488 * [taylor]: Taking taylor expansion of im in re 0.488 * [backup-simplify]: Simplify im into im 0.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.489 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.489 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.489 * [taylor]: Taking taylor expansion of re in re 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.490 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.490 * [backup-simplify]: Simplify im into im 0.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.490 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.490 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ im 0) into im 0.491 * [taylor]: Taking taylor expansion of im in im 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- 1) into -1 0.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.492 * [taylor]: Taking taylor expansion of -1 in im 0.492 * [backup-simplify]: Simplify -1 into -1 0.492 * [backup-simplify]: Simplify -1 into -1 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.493 * [backup-simplify]: Simplify (+ 1 0) into 1 0.494 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.494 * [taylor]: Taking taylor expansion of 1/2 in im 0.494 * [backup-simplify]: Simplify 1/2 into 1/2 0.494 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.494 * [taylor]: Taking taylor expansion of im in im 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.499 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.499 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.499 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.500 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.500 * [taylor]: Taking taylor expansion of re in im 0.500 * [backup-simplify]: Simplify re into re 0.500 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (sqrt 1) into 1 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.502 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.502 * [taylor]: Taking taylor expansion of re in im 0.502 * [backup-simplify]: Simplify re into re 0.502 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.502 * [taylor]: Taking taylor expansion of im in re 0.502 * [backup-simplify]: Simplify im into im 0.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.502 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.502 * [taylor]: Taking taylor expansion of re in re 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (+ 0 1) into 1 0.503 * [backup-simplify]: Simplify (sqrt 1) into 1 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.505 * [taylor]: Taking taylor expansion of re in re 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.505 * [taylor]: Taking taylor expansion of im in re 0.505 * [backup-simplify]: Simplify im into im 0.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.506 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [backup-simplify]: Simplify (+ 0 1) into 1 0.507 * [backup-simplify]: Simplify (sqrt 1) into 1 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [backup-simplify]: Simplify (- 1) into -1 0.509 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.509 * [taylor]: Taking taylor expansion of 0 in im 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [taylor]: Taking taylor expansion of 0 in im 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.512 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.513 * [taylor]: Taking taylor expansion of 1/2 in im 0.513 * [backup-simplify]: Simplify 1/2 into 1/2 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [taylor]: Taking taylor expansion of 0 in im 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.520 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.520 * [taylor]: Taking taylor expansion of re in im 0.520 * [backup-simplify]: Simplify re into re 0.520 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.521 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.521 * [taylor]: Taking taylor expansion of re in im 0.521 * [backup-simplify]: Simplify re into re 0.521 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.521 * [backup-simplify]: Simplify (+ 1 0) into 1 0.522 * [backup-simplify]: Simplify (sqrt 1) into 1 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.524 * [taylor]: Taking taylor expansion of re in re 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.525 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.525 * [taylor]: Taking taylor expansion of im in re 0.525 * [backup-simplify]: Simplify im into im 0.525 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.525 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.525 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.525 * [taylor]: Taking taylor expansion of re in re 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.530 * [taylor]: Taking taylor expansion of im in re 0.530 * [backup-simplify]: Simplify im into im 0.530 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (+ 0 1) into 1 0.532 * [backup-simplify]: Simplify (sqrt 1) into 1 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.535 * [backup-simplify]: Simplify (+ 1 1) into 2 0.535 * [taylor]: Taking taylor expansion of 2 in im 0.536 * [backup-simplify]: Simplify 2 into 2 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in im 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 2 into 2 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.541 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.541 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.541 * [taylor]: Taking taylor expansion of 1/2 in im 0.541 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [taylor]: Taking taylor expansion of 0 in im 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.554 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.554 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.554 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.554 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.555 * [taylor]: Taking taylor expansion of 2.0 in im 0.555 * [backup-simplify]: Simplify 2.0 into 2.0 0.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.561 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.561 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.561 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.561 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.561 * [taylor]: Taking taylor expansion of re in im 0.561 * [backup-simplify]: Simplify re into re 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.562 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.562 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.562 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.563 * [taylor]: Taking taylor expansion of re in im 0.563 * [backup-simplify]: Simplify re into re 0.563 * [backup-simplify]: Simplify (- re) into (- re) 0.563 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (+ 0 1) into 1 0.566 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.566 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.567 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.569 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.569 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.569 * [taylor]: Taking taylor expansion of 2.0 in re 0.569 * [backup-simplify]: Simplify 2.0 into 2.0 0.570 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.570 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.571 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.571 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.571 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.571 * [taylor]: Taking taylor expansion of im in re 0.571 * [backup-simplify]: Simplify im into im 0.571 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.571 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.571 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ im 0) into im 0.573 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.573 * [backup-simplify]: Simplify (- 1) into -1 0.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.574 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.574 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.574 * [taylor]: Taking taylor expansion of 2.0 in re 0.574 * [backup-simplify]: Simplify 2.0 into 2.0 0.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.575 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.575 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.575 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.575 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.575 * [taylor]: Taking taylor expansion of re in re 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.575 * [taylor]: Taking taylor expansion of im in re 0.575 * [backup-simplify]: Simplify im into im 0.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.576 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.576 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ im 0) into im 0.577 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.577 * [backup-simplify]: Simplify (- 1) into -1 0.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.578 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.578 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.578 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.578 * [taylor]: Taking taylor expansion of 2.0 in im 0.579 * [backup-simplify]: Simplify 2.0 into 2.0 0.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.580 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.580 * [taylor]: Taking taylor expansion of im in im 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (sqrt 0) into 0 0.582 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.584 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.585 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.586 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.586 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.586 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.586 * [taylor]: Taking taylor expansion of 1/2 in im 0.586 * [backup-simplify]: Simplify 1/2 into 1/2 0.586 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.586 * [taylor]: Taking taylor expansion of 2.0 in im 0.586 * [backup-simplify]: Simplify 2.0 into 2.0 0.587 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.587 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [backup-simplify]: Simplify (sqrt 0) into 0 0.590 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.597 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.599 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.600 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.607 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.609 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.612 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.616 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.617 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.623 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.623 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.624 * [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 0.624 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.624 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.624 * [taylor]: Taking taylor expansion of 2.0 in im 0.624 * [backup-simplify]: Simplify 2.0 into 2.0 0.624 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.625 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.625 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* 1 1) into 1 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.626 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.626 * [taylor]: Taking taylor expansion of re in im 0.626 * [backup-simplify]: Simplify re into re 0.626 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.627 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.627 * [backup-simplify]: Simplify (+ 1 0) into 1 0.627 * [backup-simplify]: Simplify (sqrt 1) into 1 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.630 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.630 * [taylor]: Taking taylor expansion of re in im 0.630 * [backup-simplify]: Simplify re into re 0.630 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.631 * [backup-simplify]: Simplify (+ 1 0) into 1 0.631 * [backup-simplify]: Simplify (sqrt 0) into 0 0.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.632 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.632 * [taylor]: Taking taylor expansion of 2.0 in re 0.632 * [backup-simplify]: Simplify 2.0 into 2.0 0.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.634 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.634 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [backup-simplify]: Simplify im into im 0.634 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.636 * [backup-simplify]: Simplify (+ 0 1) into 1 0.636 * [backup-simplify]: Simplify (sqrt 1) into 1 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.639 * [taylor]: Taking taylor expansion of re in re 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [backup-simplify]: Simplify (- 1) into -1 0.640 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (- 0) into 0 0.647 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.647 * [backup-simplify]: Simplify (sqrt 0) into 0 0.648 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.648 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.648 * [taylor]: Taking taylor expansion of 2.0 in re 0.648 * [backup-simplify]: Simplify 2.0 into 2.0 0.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.649 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.649 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 * [backup-simplify]: Simplify im into im 0.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.650 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.651 * [backup-simplify]: Simplify (sqrt 1) into 1 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (- 1) into -1 0.655 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.659 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (- 0) into 0 0.660 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.661 * [backup-simplify]: Simplify (sqrt 0) into 0 0.661 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.662 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.662 * [taylor]: Taking taylor expansion of 0 in im 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.662 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.662 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.662 * [taylor]: Taking taylor expansion of +nan.0 in im 0.662 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.662 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.671 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.671 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.671 * [taylor]: Taking taylor expansion of +nan.0 in im 0.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.671 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.671 * [taylor]: Taking taylor expansion of 2.0 in im 0.671 * [backup-simplify]: Simplify 2.0 into 2.0 0.672 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.672 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.681 * [backup-simplify]: Simplify (- 0) into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.688 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.695 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.696 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.696 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.696 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.696 * [taylor]: Taking taylor expansion of +nan.0 in im 0.696 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.696 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.696 * [taylor]: Taking taylor expansion of 2.0 in im 0.696 * [backup-simplify]: Simplify 2.0 into 2.0 0.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.698 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (* 1 1) into 1 0.699 * [backup-simplify]: Simplify (* 1 1) into 1 0.700 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.700 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.700 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.700 * [taylor]: Taking taylor expansion of +nan.0 in im 0.700 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.700 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.700 * [taylor]: Taking taylor expansion of 2.0 in im 0.700 * [backup-simplify]: Simplify 2.0 into 2.0 0.700 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.701 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.703 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.718 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.742 * [taylor]: Taking taylor expansion of 2.0 in im 0.742 * [backup-simplify]: Simplify 2.0 into 2.0 0.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [backup-simplify]: Simplify re into re 0.743 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (* 1 1) into 1 0.743 * [backup-simplify]: Simplify (/ 1 1) into 1 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.743 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [backup-simplify]: Simplify re into re 0.743 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.744 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.744 * [backup-simplify]: Simplify (+ 1 0) into 1 0.744 * [backup-simplify]: Simplify (sqrt 1) into 1 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.746 * [backup-simplify]: Simplify (+ 0 1) into 1 0.746 * [backup-simplify]: Simplify (sqrt 0) into 0 0.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.747 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.747 * [taylor]: Taking taylor expansion of 2.0 in re 0.747 * [backup-simplify]: Simplify 2.0 into 2.0 0.747 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [backup-simplify]: Simplify im into im 0.748 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.749 * [taylor]: Taking taylor expansion of re in re 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (* 1 1) into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [backup-simplify]: Simplify (+ 0 1) into 1 0.750 * [backup-simplify]: Simplify (sqrt 1) into 1 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.751 * [backup-simplify]: Simplify (+ 1 1) into 2 0.751 * [backup-simplify]: Simplify (sqrt 0) into 0 0.752 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.752 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.752 * [taylor]: Taking taylor expansion of 2.0 in re 0.752 * [backup-simplify]: Simplify 2.0 into 2.0 0.753 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ 1 1) into 1 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.753 * [taylor]: Taking taylor expansion of im in re 0.754 * [backup-simplify]: Simplify im into im 0.754 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.754 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.755 * [backup-simplify]: Simplify (sqrt 1) into 1 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.756 * [backup-simplify]: Simplify (+ 1 1) into 2 0.757 * [backup-simplify]: Simplify (sqrt 0) into 0 0.757 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.758 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.759 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.759 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.759 * [taylor]: Taking taylor expansion of +nan.0 in im 0.759 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.759 * [taylor]: Taking taylor expansion of 2.0 in im 0.759 * [backup-simplify]: Simplify 2.0 into 2.0 0.760 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.765 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.765 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.765 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.765 * [taylor]: Taking taylor expansion of +nan.0 in im 0.765 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.765 * [taylor]: Taking taylor expansion of 2.0 in im 0.765 * [backup-simplify]: Simplify 2.0 into 2.0 0.765 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.766 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.767 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.768 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.773 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.773 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.776 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.778 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.779 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.779 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.779 * [taylor]: Taking taylor expansion of +nan.0 in im 0.779 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.779 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.779 * [taylor]: Taking taylor expansion of 2.0 in im 0.779 * [backup-simplify]: Simplify 2.0 into 2.0 0.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.780 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* 1 1) into 1 0.781 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.781 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.781 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.781 * [taylor]: Taking taylor expansion of +nan.0 in im 0.781 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.781 * [taylor]: Taking taylor expansion of 2.0 in im 0.781 * [backup-simplify]: Simplify 2.0 into 2.0 0.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.785 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.786 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.787 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.787 * [backup-simplify]: Simplify (- 0) into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.793 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.793 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.793 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.793 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.793 * [taylor]: Taking taylor expansion of +nan.0 in im 0.793 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.793 * [taylor]: Taking taylor expansion of 2.0 in im 0.794 * [backup-simplify]: Simplify 2.0 into 2.0 0.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.794 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.795 * [taylor]: Taking taylor expansion of +nan.0 in im 0.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.795 * [taylor]: Taking taylor expansion of 2.0 in im 0.795 * [backup-simplify]: Simplify 2.0 into 2.0 0.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.801 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.802 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.803 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.808 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.809 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.813 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.813 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.813 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.813 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.813 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.813 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.813 * [taylor]: Taking taylor expansion of re in im 0.813 * [backup-simplify]: Simplify re into re 0.813 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.813 * [taylor]: Taking taylor expansion of im in im 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.814 * [backup-simplify]: Simplify im into im 0.814 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.814 * [backup-simplify]: Simplify im into im 0.814 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.814 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.814 * [taylor]: Taking taylor expansion of im in im 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [taylor]: Taking taylor expansion of 0 in im 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.817 * [backup-simplify]: Simplify (+ 1 0) into 1 0.817 * [taylor]: Taking taylor expansion of 1 in im 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (* 1 1) into 1 0.817 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.823 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [taylor]: Taking taylor expansion of 0 in im 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.824 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.825 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.825 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.825 * [taylor]: Taking taylor expansion of im in im 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.826 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.826 * [taylor]: Taking taylor expansion of re in im 0.826 * [backup-simplify]: Simplify re into re 0.826 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.826 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.826 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.826 * [taylor]: Taking taylor expansion of im in re 0.826 * [backup-simplify]: Simplify im into im 0.826 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.827 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.827 * [taylor]: Taking taylor expansion of re in re 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.828 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.828 * [taylor]: Taking taylor expansion of im in re 0.828 * [backup-simplify]: Simplify im into im 0.828 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (* 1 1) into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (+ 0 1) into 1 0.830 * [taylor]: Taking taylor expansion of 1 in im 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [taylor]: Taking taylor expansion of 0 in im 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.834 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.834 * [taylor]: Taking taylor expansion of im in im 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [taylor]: Taking taylor expansion of 0 in im 0.844 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.847 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.847 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.848 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.848 * [taylor]: Taking taylor expansion of re in im 0.848 * [backup-simplify]: Simplify re into re 0.848 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.848 * [backup-simplify]: Simplify im into im 0.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.849 * [taylor]: Taking taylor expansion of re in re 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.850 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.850 * [backup-simplify]: Simplify im into im 0.850 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.850 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [backup-simplify]: Simplify (+ 0 1) into 1 0.852 * [taylor]: Taking taylor expansion of 1 in im 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [taylor]: Taking taylor expansion of 0 in im 0.854 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (* 1 1) into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in im 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [taylor]: Taking taylor expansion of 0 in im 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.868 * * * [progress]: simplifying candidates 0.870 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.873 * * [simplify]: Extracting # 0 : cost 0 0.873 * * [simplify]: Extracting # 1 : cost 0 0.874 * * [simplify]: Extracting # 2 : cost 0 0.874 * * [simplify]: Extracting # 3 : cost 0 0.874 * * [simplify]: Extracting # 4 : cost 0 0.874 * * [simplify]: Extracting # 5 : cost 0 0.875 * * [simplify]: Extracting # 6 : cost 0 0.875 * * [simplify]: Extracting # 7 : cost 0 0.875 * * [simplify]: Extracting # 8 : cost 0 0.876 * * [simplify]: Extracting # 9 : cost 0 0.876 * * [simplify]: Extracting # 10 : cost 0 0.876 * * [simplify]: Extracting # 11 : cost 0 0.876 * * [simplify]: iteration 0 : 114 enodes (cost 942 ) 0.924 * * [simplify]: Extracting # 0 : cost 0 0.925 * * [simplify]: Extracting # 1 : cost 0 0.925 * * [simplify]: Extracting # 2 : cost 0 0.926 * * [simplify]: Extracting # 3 : cost 0 0.926 * * [simplify]: Extracting # 4 : cost 0 0.927 * * [simplify]: iteration 1 : 255 enodes (cost 828 ) 1.059 * * [simplify]: Extracting # 0 : cost 0 1.061 * * [simplify]: Extracting # 1 : cost 0 1.062 * * [simplify]: Extracting # 2 : cost 0 1.069 * * [simplify]: Extracting # 3 : cost 0 1.071 * * [simplify]: Extracting # 4 : cost 0 1.072 * * [simplify]: iteration 2 : 709 enodes (cost 752 ) 1.654 * * [simplify]: Extracting # 0 : cost 0 1.659 * * [simplify]: Extracting # 1 : cost 0 1.664 * * [simplify]: Extracting # 2 : cost 0 1.668 * * [simplify]: Extracting # 3 : cost 0 1.672 * * [simplify]: Extracting # 4 : cost 0 1.677 * * [simplify]: iteration 3 : 2147 enodes (cost 727 ) 3.204 * * [simplify]: Extracting # 0 : cost 0 3.215 * * [simplify]: Extracting # 1 : cost 0 3.226 * * [simplify]: Extracting # 2 : cost 0 3.236 * * [simplify]: Extracting # 3 : cost 0 3.246 * * [simplify]: Extracting # 4 : cost 0 3.251 * * [simplify]: iteration done: 5000 enodes (cost 721 ) 3.252 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (- im re) 0 (* -2 re) (* (* (sqrt 2.0) +nan.0) (+ im (* (- im) (+ re im)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 3.253 * * * [progress]: adding candidates to table 3.559 * * [progress]: iteration 2 / 4 3.559 * * * [progress]: picking best candidate 3.594 * * * * [pick]: Picked # 3.594 * * * [progress]: localizing error 3.629 * * * [progress]: generating rewritten candidates 3.629 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.645 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.660 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.747 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.875 * * * [progress]: generating series expansions 3.875 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.876 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.876 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.876 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.876 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.876 * [taylor]: Taking taylor expansion of re in im 3.876 * [backup-simplify]: Simplify re into re 3.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.876 * [taylor]: Taking taylor expansion of im in im 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.877 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.877 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.877 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.878 * [backup-simplify]: Simplify (+ 0 0) into 0 3.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.878 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.878 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.878 * [taylor]: Taking taylor expansion of re in re 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.878 * [taylor]: Taking taylor expansion of im in re 3.878 * [backup-simplify]: Simplify im into im 3.878 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.878 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.878 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.879 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.879 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.879 * [taylor]: Taking taylor expansion of re in re 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.879 * [taylor]: Taking taylor expansion of im in re 3.880 * [backup-simplify]: Simplify im into im 3.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.880 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.880 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.880 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.881 * [taylor]: Taking taylor expansion of im in im 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [taylor]: Taking taylor expansion of 0 in im 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.882 * [backup-simplify]: Simplify (* 1 1) into 1 3.882 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.883 * [backup-simplify]: Simplify (+ 1 0) into 1 3.884 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.884 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.884 * [taylor]: Taking taylor expansion of 1/2 in im 3.884 * [backup-simplify]: Simplify 1/2 into 1/2 3.884 * [taylor]: Taking taylor expansion of im in im 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.887 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.887 * [backup-simplify]: Simplify (+ 0 0) into 0 3.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.888 * [taylor]: Taking taylor expansion of 0 in im 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.889 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.889 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.889 * [taylor]: Taking taylor expansion of im in im 3.889 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (* 1 1) into 1 3.890 * [backup-simplify]: Simplify (/ 1 1) into 1 3.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.890 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.890 * [taylor]: Taking taylor expansion of re in im 3.890 * [backup-simplify]: Simplify re into re 3.891 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.891 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.891 * [backup-simplify]: Simplify (+ 1 0) into 1 3.892 * [backup-simplify]: Simplify (sqrt 1) into 1 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.895 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.895 * [taylor]: Taking taylor expansion of im in re 3.895 * [backup-simplify]: Simplify im into im 3.895 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.895 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.895 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.895 * [taylor]: Taking taylor expansion of re in re 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (* 1 1) into 1 3.896 * [backup-simplify]: Simplify (/ 1 1) into 1 3.896 * [backup-simplify]: Simplify (+ 0 1) into 1 3.897 * [backup-simplify]: Simplify (sqrt 1) into 1 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.900 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.900 * [taylor]: Taking taylor expansion of im in re 3.900 * [backup-simplify]: Simplify im into im 3.900 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.900 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.900 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.900 * [taylor]: Taking taylor expansion of re in re 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (* 1 1) into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.902 * [backup-simplify]: Simplify (+ 0 1) into 1 3.902 * [backup-simplify]: Simplify (sqrt 1) into 1 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.905 * [taylor]: Taking taylor expansion of 1 in im 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [taylor]: Taking taylor expansion of 0 in im 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.907 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.908 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.908 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.908 * [taylor]: Taking taylor expansion of 1/2 in im 3.908 * [backup-simplify]: Simplify 1/2 into 1/2 3.908 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.909 * [taylor]: Taking taylor expansion of im in im 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (* 1 1) into 1 3.910 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.915 * [taylor]: Taking taylor expansion of 0 in im 3.915 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.918 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.918 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.918 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.918 * [taylor]: Taking taylor expansion of im in im 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.919 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.919 * [taylor]: Taking taylor expansion of re in im 3.919 * [backup-simplify]: Simplify re into re 3.919 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.919 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.919 * [backup-simplify]: Simplify (+ 1 0) into 1 3.920 * [backup-simplify]: Simplify (sqrt 1) into 1 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ 0 0) into 0 3.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.922 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.923 * [taylor]: Taking taylor expansion of im in re 3.923 * [backup-simplify]: Simplify im into im 3.923 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.923 * [taylor]: Taking taylor expansion of re in re 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (* 1 1) into 1 3.924 * [backup-simplify]: Simplify (/ 1 1) into 1 3.924 * [backup-simplify]: Simplify (+ 0 1) into 1 3.925 * [backup-simplify]: Simplify (sqrt 1) into 1 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ 0 0) into 0 3.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.927 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.927 * [taylor]: Taking taylor expansion of im in re 3.927 * [backup-simplify]: Simplify im into im 3.928 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.928 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.928 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.928 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.928 * [taylor]: Taking taylor expansion of re in re 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [backup-simplify]: Simplify (+ 0 1) into 1 3.929 * [backup-simplify]: Simplify (sqrt 1) into 1 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.932 * [taylor]: Taking taylor expansion of 1 in im 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [taylor]: Taking taylor expansion of 0 in im 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.936 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.936 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.936 * [taylor]: Taking taylor expansion of 1/2 in im 3.936 * [backup-simplify]: Simplify 1/2 into 1/2 3.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.936 * [taylor]: Taking taylor expansion of im in im 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (* 1 1) into 1 3.937 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.943 * [taylor]: Taking taylor expansion of 0 in im 3.943 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.945 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.945 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.945 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.945 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.946 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.946 * [taylor]: Taking taylor expansion of re in im 3.946 * [backup-simplify]: Simplify re into re 3.946 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.946 * [taylor]: Taking taylor expansion of im in im 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.946 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.946 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.946 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.947 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.947 * [taylor]: Taking taylor expansion of re in re 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.947 * [taylor]: Taking taylor expansion of im in re 3.947 * [backup-simplify]: Simplify im into im 3.947 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.947 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.947 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.948 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.948 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.948 * [taylor]: Taking taylor expansion of re in re 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.948 * [taylor]: Taking taylor expansion of im in re 3.948 * [backup-simplify]: Simplify im into im 3.948 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.948 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.949 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.949 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.950 * [taylor]: Taking taylor expansion of im in im 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [taylor]: Taking taylor expansion of 0 in im 3.950 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (* 1 1) into 1 3.952 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.952 * [backup-simplify]: Simplify (+ 1 0) into 1 3.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.953 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.953 * [taylor]: Taking taylor expansion of 1/2 in im 3.953 * [backup-simplify]: Simplify 1/2 into 1/2 3.953 * [taylor]: Taking taylor expansion of im in im 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.956 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.957 * [taylor]: Taking taylor expansion of 0 in im 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.958 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.958 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.958 * [taylor]: Taking taylor expansion of im in im 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (* 1 1) into 1 3.959 * [backup-simplify]: Simplify (/ 1 1) into 1 3.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.959 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.959 * [taylor]: Taking taylor expansion of re in im 3.959 * [backup-simplify]: Simplify re into re 3.959 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.959 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.960 * [backup-simplify]: Simplify (+ 1 0) into 1 3.961 * [backup-simplify]: Simplify (sqrt 1) into 1 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.963 * [taylor]: Taking taylor expansion of im in re 3.963 * [backup-simplify]: Simplify im into im 3.963 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.964 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.964 * [taylor]: Taking taylor expansion of re in re 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (/ 1 1) into 1 3.965 * [backup-simplify]: Simplify (+ 0 1) into 1 3.965 * [backup-simplify]: Simplify (sqrt 1) into 1 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.969 * [taylor]: Taking taylor expansion of im in re 3.969 * [backup-simplify]: Simplify im into im 3.969 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.969 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.969 * [taylor]: Taking taylor expansion of re in re 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.971 * [backup-simplify]: Simplify (+ 0 1) into 1 3.971 * [backup-simplify]: Simplify (sqrt 1) into 1 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.974 * [taylor]: Taking taylor expansion of 1 in im 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [taylor]: Taking taylor expansion of 0 in im 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.977 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.977 * [taylor]: Taking taylor expansion of 1/2 in im 3.977 * [backup-simplify]: Simplify 1/2 into 1/2 3.977 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.977 * [taylor]: Taking taylor expansion of im in im 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* 1 1) into 1 3.978 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.989 * [taylor]: Taking taylor expansion of 0 in im 3.989 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.992 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.992 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.992 * [taylor]: Taking taylor expansion of im in im 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.993 * [backup-simplify]: Simplify (/ 1 1) into 1 3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.993 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.993 * [taylor]: Taking taylor expansion of re in im 3.993 * [backup-simplify]: Simplify re into re 3.993 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.993 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.993 * [backup-simplify]: Simplify (+ 1 0) into 1 3.994 * [backup-simplify]: Simplify (sqrt 1) into 1 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.997 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.997 * [taylor]: Taking taylor expansion of im in re 3.997 * [backup-simplify]: Simplify im into im 3.997 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.997 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.997 * [taylor]: Taking taylor expansion of re in re 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [backup-simplify]: Simplify (+ 0 1) into 1 3.999 * [backup-simplify]: Simplify (sqrt 1) into 1 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ 0 0) into 0 4.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.001 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.001 * [taylor]: Taking taylor expansion of im in re 4.001 * [backup-simplify]: Simplify im into im 4.002 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.002 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.002 * [taylor]: Taking taylor expansion of re in re 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.003 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [backup-simplify]: Simplify (+ 0 1) into 1 4.003 * [backup-simplify]: Simplify (sqrt 1) into 1 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.006 * [taylor]: Taking taylor expansion of 1 in im 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of 0 in im 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.010 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.010 * [taylor]: Taking taylor expansion of 1/2 in im 4.010 * [backup-simplify]: Simplify 1/2 into 1/2 4.010 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.010 * [taylor]: Taking taylor expansion of im in im 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.017 * [taylor]: Taking taylor expansion of 0 in im 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.019 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 4.020 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 4.020 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 4.020 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 4.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.020 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.020 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.020 * [taylor]: Taking taylor expansion of re in im 4.020 * [backup-simplify]: Simplify re into re 4.020 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.020 * [taylor]: Taking taylor expansion of im in im 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.020 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.020 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.020 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.020 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.021 * [taylor]: Taking taylor expansion of re in im 4.021 * [backup-simplify]: Simplify re into re 4.021 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 4.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.021 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.021 * [taylor]: Taking taylor expansion of re in re 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.022 * [taylor]: Taking taylor expansion of im in re 4.022 * [backup-simplify]: Simplify im into im 4.022 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.022 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.022 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.023 * [taylor]: Taking taylor expansion of re in re 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 4.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.023 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.023 * [taylor]: Taking taylor expansion of re in re 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.023 * [taylor]: Taking taylor expansion of im in re 4.023 * [backup-simplify]: Simplify im into im 4.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.023 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.024 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.024 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.024 * [taylor]: Taking taylor expansion of re in re 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (- 0) into 0 4.025 * [backup-simplify]: Simplify (+ im 0) into im 4.025 * [taylor]: Taking taylor expansion of im in im 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify (- 1) into -1 4.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.026 * [taylor]: Taking taylor expansion of -1 in im 4.026 * [backup-simplify]: Simplify -1 into -1 4.026 * [backup-simplify]: Simplify -1 into -1 4.026 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (* 1 1) into 1 4.027 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.028 * [backup-simplify]: Simplify (+ 1 0) into 1 4.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.029 * [backup-simplify]: Simplify (- 0) into 0 4.029 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.029 * [taylor]: Taking taylor expansion of 1/2 in im 4.029 * [backup-simplify]: Simplify 1/2 into 1/2 4.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.029 * [taylor]: Taking taylor expansion of im in im 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (/ 1 1) into 1 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.034 * [backup-simplify]: Simplify (+ 0 0) into 0 4.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.034 * [backup-simplify]: Simplify (- 0) into 0 4.034 * [backup-simplify]: Simplify (+ 0 0) into 0 4.034 * [taylor]: Taking taylor expansion of 0 in im 4.034 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.037 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 4.038 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 4.038 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 4.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.038 * [taylor]: Taking taylor expansion of im in im 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (* 1 1) into 1 4.039 * [backup-simplify]: Simplify (/ 1 1) into 1 4.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.039 * [taylor]: Taking taylor expansion of re in im 4.039 * [backup-simplify]: Simplify re into re 4.039 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.039 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.040 * [backup-simplify]: Simplify (+ 1 0) into 1 4.040 * [backup-simplify]: Simplify (sqrt 1) into 1 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.043 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.043 * [taylor]: Taking taylor expansion of re in im 4.043 * [backup-simplify]: Simplify re into re 4.043 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.043 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 4.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.043 * [taylor]: Taking taylor expansion of im in re 4.043 * [backup-simplify]: Simplify im into im 4.043 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.044 * [taylor]: Taking taylor expansion of re in re 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify (* 1 1) into 1 4.045 * [backup-simplify]: Simplify (/ 1 1) into 1 4.045 * [backup-simplify]: Simplify (+ 0 1) into 1 4.045 * [backup-simplify]: Simplify (sqrt 1) into 1 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ 0 0) into 0 4.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.048 * [taylor]: Taking taylor expansion of re in re 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (/ 1 1) into 1 4.048 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 4.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.049 * [taylor]: Taking taylor expansion of im in re 4.049 * [backup-simplify]: Simplify im into im 4.049 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.049 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.049 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.049 * [taylor]: Taking taylor expansion of re in re 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (* 1 1) into 1 4.050 * [backup-simplify]: Simplify (/ 1 1) into 1 4.050 * [backup-simplify]: Simplify (+ 0 1) into 1 4.051 * [backup-simplify]: Simplify (sqrt 1) into 1 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.053 * [taylor]: Taking taylor expansion of re in re 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [backup-simplify]: Simplify (- 1) into -1 4.055 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.055 * [taylor]: Taking taylor expansion of 0 in im 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (- 0) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.056 * [taylor]: Taking taylor expansion of 0 in im 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.060 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.062 * [taylor]: Taking taylor expansion of 1/2 in im 4.062 * [backup-simplify]: Simplify 1/2 into 1/2 4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.062 * [taylor]: Taking taylor expansion of im in im 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (* 1 1) into 1 4.062 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (- 0) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.071 * [taylor]: Taking taylor expansion of 0 in im 4.071 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 4.075 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.075 * [taylor]: Taking taylor expansion of re in im 4.075 * [backup-simplify]: Simplify re into re 4.075 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.075 * [taylor]: Taking taylor expansion of im in im 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (* 1 1) into 1 4.076 * [backup-simplify]: Simplify (/ 1 1) into 1 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.076 * [taylor]: Taking taylor expansion of re in im 4.076 * [backup-simplify]: Simplify re into re 4.076 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.077 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.077 * [backup-simplify]: Simplify (+ 1 0) into 1 4.077 * [backup-simplify]: Simplify (sqrt 1) into 1 4.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.080 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.080 * [taylor]: Taking taylor expansion of re in re 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.081 * [taylor]: Taking taylor expansion of im in re 4.081 * [backup-simplify]: Simplify im into im 4.081 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.081 * [taylor]: Taking taylor expansion of re in re 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (* 1 1) into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [backup-simplify]: Simplify (+ 0 1) into 1 4.083 * [backup-simplify]: Simplify (sqrt 1) into 1 4.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.085 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.085 * [taylor]: Taking taylor expansion of re in re 4.085 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.086 * [taylor]: Taking taylor expansion of im in re 4.086 * [backup-simplify]: Simplify im into im 4.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.086 * [taylor]: Taking taylor expansion of re in re 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (* 1 1) into 1 4.087 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [backup-simplify]: Simplify (+ 0 1) into 1 4.088 * [backup-simplify]: Simplify (sqrt 1) into 1 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.091 * [backup-simplify]: Simplify (+ 1 1) into 2 4.091 * [taylor]: Taking taylor expansion of 2 in im 4.091 * [backup-simplify]: Simplify 2 into 2 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [taylor]: Taking taylor expansion of 0 in im 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 2 into 2 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.097 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.097 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.097 * [taylor]: Taking taylor expansion of 1/2 in im 4.097 * [backup-simplify]: Simplify 1/2 into 1/2 4.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.097 * [taylor]: Taking taylor expansion of im in im 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* 1 1) into 1 4.098 * [backup-simplify]: Simplify (/ 1 1) into 1 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [taylor]: Taking taylor expansion of 0 in im 4.105 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.108 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 4.109 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 4.109 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 4.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.109 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.109 * [taylor]: Taking taylor expansion of re in im 4.109 * [backup-simplify]: Simplify re into re 4.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.109 * [taylor]: Taking taylor expansion of im in im 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.110 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.110 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.110 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.111 * [taylor]: Taking taylor expansion of re in re 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.111 * [taylor]: Taking taylor expansion of im in re 4.111 * [backup-simplify]: Simplify im into im 4.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.112 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.112 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.113 * [taylor]: Taking taylor expansion of re in re 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.113 * [taylor]: Taking taylor expansion of im in re 4.113 * [backup-simplify]: Simplify im into im 4.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.113 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.113 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.113 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.113 * [taylor]: Taking taylor expansion of im in im 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify 0 into 0 4.114 * [taylor]: Taking taylor expansion of 0 in im 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.114 * [backup-simplify]: Simplify (+ 1 0) into 1 4.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.115 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.115 * [taylor]: Taking taylor expansion of 1/2 in im 4.115 * [backup-simplify]: Simplify 1/2 into 1/2 4.115 * [taylor]: Taking taylor expansion of im in im 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.117 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.117 * [taylor]: Taking taylor expansion of 0 in im 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.118 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.118 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.119 * [taylor]: Taking taylor expansion of im in im 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (* 1 1) into 1 4.119 * [backup-simplify]: Simplify (/ 1 1) into 1 4.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.119 * [taylor]: Taking taylor expansion of re in im 4.119 * [backup-simplify]: Simplify re into re 4.119 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.119 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.120 * [backup-simplify]: Simplify (+ 1 0) into 1 4.120 * [backup-simplify]: Simplify (sqrt 1) into 1 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.121 * [taylor]: Taking taylor expansion of im in re 4.121 * [backup-simplify]: Simplify im into im 4.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.122 * [taylor]: Taking taylor expansion of re in re 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (* 1 1) into 1 4.122 * [backup-simplify]: Simplify (/ 1 1) into 1 4.122 * [backup-simplify]: Simplify (+ 0 1) into 1 4.123 * [backup-simplify]: Simplify (sqrt 1) into 1 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.124 * [taylor]: Taking taylor expansion of im in re 4.124 * [backup-simplify]: Simplify im into im 4.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.125 * [taylor]: Taking taylor expansion of re in re 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (* 1 1) into 1 4.125 * [backup-simplify]: Simplify (/ 1 1) into 1 4.125 * [backup-simplify]: Simplify (+ 0 1) into 1 4.126 * [backup-simplify]: Simplify (sqrt 1) into 1 4.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.127 * [taylor]: Taking taylor expansion of 1 in im 4.127 * [backup-simplify]: Simplify 1 into 1 4.127 * [taylor]: Taking taylor expansion of 0 in im 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.129 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.130 * [taylor]: Taking taylor expansion of 1/2 in im 4.130 * [backup-simplify]: Simplify 1/2 into 1/2 4.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.130 * [taylor]: Taking taylor expansion of im in im 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.136 * [taylor]: Taking taylor expansion of 0 in im 4.136 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.138 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.138 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.138 * [taylor]: Taking taylor expansion of im in im 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (* 1 1) into 1 4.139 * [backup-simplify]: Simplify (/ 1 1) into 1 4.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.139 * [taylor]: Taking taylor expansion of re in im 4.139 * [backup-simplify]: Simplify re into re 4.139 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.139 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.139 * [backup-simplify]: Simplify (+ 1 0) into 1 4.140 * [backup-simplify]: Simplify (sqrt 1) into 1 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.141 * [taylor]: Taking taylor expansion of im in re 4.141 * [backup-simplify]: Simplify im into im 4.142 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.142 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.142 * [taylor]: Taking taylor expansion of re in re 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (* 1 1) into 1 4.142 * [backup-simplify]: Simplify (/ 1 1) into 1 4.143 * [backup-simplify]: Simplify (+ 0 1) into 1 4.143 * [backup-simplify]: Simplify (sqrt 1) into 1 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ 0 0) into 0 4.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.144 * [taylor]: Taking taylor expansion of im in re 4.144 * [backup-simplify]: Simplify im into im 4.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.145 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.145 * [taylor]: Taking taylor expansion of re in re 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (/ 1 1) into 1 4.146 * [backup-simplify]: Simplify (+ 0 1) into 1 4.146 * [backup-simplify]: Simplify (sqrt 1) into 1 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.147 * [taylor]: Taking taylor expansion of 1 in im 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [taylor]: Taking taylor expansion of 0 in im 4.147 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.150 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.150 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.150 * [taylor]: Taking taylor expansion of 1/2 in im 4.150 * [backup-simplify]: Simplify 1/2 into 1/2 4.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.150 * [taylor]: Taking taylor expansion of im in im 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (* 1 1) into 1 4.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.154 * [taylor]: Taking taylor expansion of 0 in im 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.155 * * * [progress]: simplifying candidates 4.157 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) 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(sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 4.161 * * [simplify]: Extracting # 0 : cost 0 4.161 * * [simplify]: Extracting # 1 : cost 0 4.162 * * [simplify]: Extracting # 2 : cost 0 4.162 * * [simplify]: Extracting # 3 : cost 0 4.162 * * [simplify]: Extracting # 4 : cost 0 4.162 * * [simplify]: Extracting # 5 : cost 0 4.162 * * [simplify]: Extracting # 6 : cost 0 4.162 * * [simplify]: Extracting # 7 : cost 0 4.163 * * [simplify]: iteration 0 : 138 enodes (cost 3069 ) 4.212 * * [simplify]: Extracting # 0 : cost 0 4.213 * * [simplify]: Extracting # 1 : cost 0 4.213 * * [simplify]: Extracting # 2 : cost 0 4.213 * * [simplify]: Extracting # 3 : cost 0 4.213 * * [simplify]: Extracting # 4 : cost 0 4.213 * * [simplify]: Extracting # 5 : cost 0 4.214 * * [simplify]: iteration 1 : 259 enodes (cost 1761 ) 4.280 * * [simplify]: Extracting # 0 : cost 0 4.281 * * [simplify]: Extracting # 1 : cost 0 4.281 * * [simplify]: Extracting # 2 : cost 0 4.282 * * [simplify]: Extracting # 3 : cost 0 4.283 * * [simplify]: Extracting # 4 : cost 0 4.283 * * [simplify]: Extracting # 5 : cost 0 4.284 * * [simplify]: iteration 2 : 665 enodes (cost 1607 ) 4.810 * * [simplify]: Extracting # 0 : cost 0 4.815 * * [simplify]: Extracting # 1 : cost 0 4.819 * * [simplify]: Extracting # 2 : cost 0 4.823 * * [simplify]: Extracting # 3 : cost 0 4.826 * * [simplify]: Extracting # 4 : cost 0 4.830 * * [simplify]: Extracting # 5 : cost 0 4.834 * * [simplify]: iteration 3 : 1934 enodes (cost 1548 ) 6.204 * * [simplify]: Extracting # 0 : cost 0 6.210 * * [simplify]: Extracting # 1 : cost 0 6.217 * * [simplify]: Extracting # 2 : cost 0 6.230 * * [simplify]: Extracting # 3 : cost 0 6.241 * * [simplify]: Extracting # 4 : cost 0 6.252 * * [simplify]: iteration done: 5000 enodes (cost 1507 ) 6.254 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (+ re (sqrt (+ (* re re) (* im im)))) re)) (* im im)) (- re) (* im im) (+ re (sqrt (+ (* re re) (* im im)))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- re) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) (pow (sqrt (+ (* re re) (* im im))) 4) (+ (* re re) (* im im)) (pow (sqrt (+ (* re re) (* im im))) 4) 2 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (+ (* re re) (* im im)) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 2 1/2 1 1/2 (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 6.256 * * * [progress]: adding candidates to table 6.711 * * [progress]: iteration 3 / 4 6.711 * * * [progress]: picking best candidate 6.736 * * * * [pick]: Picked # 6.736 * * * [progress]: localizing error 6.754 * * * [progress]: generating rewritten candidates 6.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1) 6.768 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.791 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 6.843 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.900 * * * [progress]: generating series expansions 6.900 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1) 6.900 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.900 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.900 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.900 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.900 * [taylor]: Taking taylor expansion of re in im 6.900 * [backup-simplify]: Simplify re into re 6.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.900 * [taylor]: Taking taylor expansion of im in im 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.901 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.901 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.901 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.902 * [backup-simplify]: Simplify (+ 0 0) into 0 6.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.902 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.902 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.902 * [taylor]: Taking taylor expansion of re in re 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.902 * [taylor]: Taking taylor expansion of im in re 6.902 * [backup-simplify]: Simplify im into im 6.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.902 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.903 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.903 * [backup-simplify]: Simplify (+ 0 0) into 0 6.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.903 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.903 * [taylor]: Taking taylor expansion of re in re 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.904 * [taylor]: Taking taylor expansion of im in re 6.904 * [backup-simplify]: Simplify im into im 6.904 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.904 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.904 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.904 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.905 * [backup-simplify]: Simplify (+ 0 0) into 0 6.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.905 * [taylor]: Taking taylor expansion of im in im 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [taylor]: Taking taylor expansion of 0 in im 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (* 1 1) into 1 6.906 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.906 * [backup-simplify]: Simplify (+ 1 0) into 1 6.907 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.907 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.908 * [taylor]: Taking taylor expansion of 1/2 in im 6.908 * [backup-simplify]: Simplify 1/2 into 1/2 6.908 * [taylor]: Taking taylor expansion of im in im 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.911 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.912 * [taylor]: Taking taylor expansion of 0 in im 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.914 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.914 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.914 * [taylor]: Taking taylor expansion of im in im 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.915 * [backup-simplify]: Simplify (* 1 1) into 1 6.915 * [backup-simplify]: Simplify (/ 1 1) into 1 6.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.915 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.915 * [taylor]: Taking taylor expansion of re in im 6.915 * [backup-simplify]: Simplify re into re 6.915 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.915 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.916 * [backup-simplify]: Simplify (+ 1 0) into 1 6.916 * [backup-simplify]: Simplify (sqrt 1) into 1 6.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.919 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.919 * [taylor]: Taking taylor expansion of im in re 6.919 * [backup-simplify]: Simplify im into im 6.919 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.920 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.920 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.920 * [taylor]: Taking taylor expansion of re in re 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.920 * [backup-simplify]: Simplify (* 1 1) into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.921 * [backup-simplify]: Simplify (+ 0 1) into 1 6.922 * [backup-simplify]: Simplify (sqrt 1) into 1 6.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (+ 0 0) into 0 6.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.924 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.924 * [taylor]: Taking taylor expansion of im in re 6.924 * [backup-simplify]: Simplify im into im 6.925 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.925 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.925 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.925 * [taylor]: Taking taylor expansion of re in re 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify (* 1 1) into 1 6.925 * [backup-simplify]: Simplify (/ 1 1) into 1 6.926 * [backup-simplify]: Simplify (+ 0 1) into 1 6.926 * [backup-simplify]: Simplify (sqrt 1) into 1 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ 0 0) into 0 6.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.927 * [taylor]: Taking taylor expansion of 1 in im 6.927 * [backup-simplify]: Simplify 1 into 1 6.927 * [taylor]: Taking taylor expansion of 0 in im 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 1 into 1 6.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.930 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.930 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.930 * [taylor]: Taking taylor expansion of 1/2 in im 6.930 * [backup-simplify]: Simplify 1/2 into 1/2 6.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.930 * [taylor]: Taking taylor expansion of im in im 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 1 into 1 6.930 * [backup-simplify]: Simplify (* 1 1) into 1 6.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.933 * [backup-simplify]: Simplify (+ 0 0) into 0 6.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.933 * [taylor]: Taking taylor expansion of 0 in im 6.933 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.935 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.935 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.935 * [taylor]: Taking taylor expansion of im in im 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (* 1 1) into 1 6.936 * [backup-simplify]: Simplify (/ 1 1) into 1 6.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.936 * [taylor]: Taking taylor expansion of re in im 6.936 * [backup-simplify]: Simplify re into re 6.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.936 * [backup-simplify]: Simplify (+ 1 0) into 1 6.936 * [backup-simplify]: Simplify (sqrt 1) into 1 6.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.938 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.938 * [taylor]: Taking taylor expansion of im in re 6.938 * [backup-simplify]: Simplify im into im 6.938 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.938 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.938 * [taylor]: Taking taylor expansion of re in re 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify 1 into 1 6.938 * [backup-simplify]: Simplify (* 1 1) into 1 6.939 * [backup-simplify]: Simplify (/ 1 1) into 1 6.939 * [backup-simplify]: Simplify (+ 0 1) into 1 6.939 * [backup-simplify]: Simplify (sqrt 1) into 1 6.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.940 * [backup-simplify]: Simplify (+ 0 0) into 0 6.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.941 * [taylor]: Taking taylor expansion of im in re 6.941 * [backup-simplify]: Simplify im into im 6.941 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.941 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.941 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.941 * [taylor]: Taking taylor expansion of re in re 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [backup-simplify]: Simplify (* 1 1) into 1 6.941 * [backup-simplify]: Simplify (/ 1 1) into 1 6.942 * [backup-simplify]: Simplify (+ 0 1) into 1 6.942 * [backup-simplify]: Simplify (sqrt 1) into 1 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.943 * [backup-simplify]: Simplify (+ 0 0) into 0 6.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.944 * [taylor]: Taking taylor expansion of 1 in im 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [taylor]: Taking taylor expansion of 0 in im 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.946 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.946 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.946 * [taylor]: Taking taylor expansion of 1/2 in im 6.946 * [backup-simplify]: Simplify 1/2 into 1/2 6.946 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.946 * [taylor]: Taking taylor expansion of im in im 6.946 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify 1 into 1 6.946 * [backup-simplify]: Simplify (* 1 1) into 1 6.946 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (+ 0 0) into 0 6.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.949 * [taylor]: Taking taylor expansion of 0 in im 6.949 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.951 * [backup-simplify]: Simplify (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 6.951 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 6.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 6.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.951 * [taylor]: Taking taylor expansion of 2.0 in im 6.951 * [backup-simplify]: Simplify 2.0 into 2.0 6.952 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.952 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 6.952 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.952 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.952 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.952 * [taylor]: Taking taylor expansion of re in im 6.952 * [backup-simplify]: Simplify re into re 6.952 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.952 * [taylor]: Taking taylor expansion of im in im 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.952 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.952 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.952 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.953 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.953 * [backup-simplify]: Simplify (+ 0 0) into 0 6.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.953 * [taylor]: Taking taylor expansion of re in im 6.953 * [backup-simplify]: Simplify re into re 6.953 * [backup-simplify]: Simplify (- re) into (- re) 6.953 * [backup-simplify]: Simplify (+ re (- re)) into 0 6.953 * [backup-simplify]: Simplify (- 0) into 0 6.954 * [backup-simplify]: Simplify (+ 0 0) into 0 6.954 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.954 * [backup-simplify]: Simplify (* 1 1) into 1 6.955 * [backup-simplify]: Simplify (+ 0 1) into 1 6.955 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.955 * [backup-simplify]: Simplify (- 0) into 0 6.955 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.955 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 6.956 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 6.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.956 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.958 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 6.958 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 6.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.958 * [taylor]: Taking taylor expansion of 2.0 in re 6.958 * [backup-simplify]: Simplify 2.0 into 2.0 6.958 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.959 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 6.959 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.959 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.959 * [taylor]: Taking taylor expansion of re in re 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify 1 into 1 6.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.959 * [taylor]: Taking taylor expansion of im in re 6.959 * [backup-simplify]: Simplify im into im 6.959 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.960 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.960 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.960 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.961 * [taylor]: Taking taylor expansion of re in re 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify (- 0) into 0 6.961 * [backup-simplify]: Simplify (+ im 0) into im 6.961 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.961 * [backup-simplify]: Simplify (- 1) into -1 6.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.962 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 6.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 6.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.962 * [taylor]: Taking taylor expansion of 2.0 in re 6.962 * [backup-simplify]: Simplify 2.0 into 2.0 6.962 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.963 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 6.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.963 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.963 * [taylor]: Taking taylor expansion of re in re 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.963 * [taylor]: Taking taylor expansion of im in re 6.963 * [backup-simplify]: Simplify im into im 6.964 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.964 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.964 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.964 * [backup-simplify]: Simplify (+ 0 0) into 0 6.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.965 * [taylor]: Taking taylor expansion of re in re 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 1 into 1 6.965 * [backup-simplify]: Simplify (- 0) into 0 6.965 * [backup-simplify]: Simplify (+ im 0) into im 6.965 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.966 * [backup-simplify]: Simplify (- 1) into -1 6.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.966 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 6.967 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 6.967 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 6.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.967 * [taylor]: Taking taylor expansion of 2.0 in im 6.967 * [backup-simplify]: Simplify 2.0 into 2.0 6.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.968 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.968 * [taylor]: Taking taylor expansion of im in im 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify (sqrt 0) into 0 6.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.972 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.973 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.974 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 6.974 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 6.974 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 6.974 * [taylor]: Taking taylor expansion of 1/2 in im 6.974 * [backup-simplify]: Simplify 1/2 into 1/2 6.974 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 6.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.974 * [taylor]: Taking taylor expansion of 2.0 in im 6.974 * [backup-simplify]: Simplify 2.0 into 2.0 6.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.975 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.975 * [taylor]: Taking taylor expansion of im in im 6.975 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.976 * [backup-simplify]: Simplify (/ 1 1) into 1 6.976 * [backup-simplify]: Simplify (sqrt 0) into 0 6.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.982 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.983 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.985 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.988 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.989 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.990 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.992 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.994 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.995 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.998 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 6.999 * [backup-simplify]: Simplify (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) 3)) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 6.999 * [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 6.999 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 6.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.999 * [taylor]: Taking taylor expansion of 2.0 in im 6.999 * [backup-simplify]: Simplify 2.0 into 2.0 6.999 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.999 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 7.000 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.000 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.000 * [taylor]: Taking taylor expansion of im in im 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (* 1 1) into 1 7.000 * [backup-simplify]: Simplify (/ 1 1) into 1 7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.000 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.000 * [taylor]: Taking taylor expansion of re in im 7.000 * [backup-simplify]: Simplify re into re 7.000 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.000 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.001 * [backup-simplify]: Simplify (+ 1 0) into 1 7.001 * [backup-simplify]: Simplify (sqrt 1) into 1 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.002 * [taylor]: Taking taylor expansion of re in im 7.002 * [backup-simplify]: Simplify re into re 7.002 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.003 * [backup-simplify]: Simplify (+ 1 0) into 1 7.003 * [backup-simplify]: Simplify (sqrt 0) into 0 7.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.004 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.004 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.004 * [taylor]: Taking taylor expansion of 2.0 in re 7.004 * [backup-simplify]: Simplify 2.0 into 2.0 7.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.005 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.005 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.005 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.005 * [taylor]: Taking taylor expansion of im in re 7.005 * [backup-simplify]: Simplify im into im 7.005 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.005 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.005 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.005 * [taylor]: Taking taylor expansion of re in re 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (* 1 1) into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [backup-simplify]: Simplify (+ 0 1) into 1 7.006 * [backup-simplify]: Simplify (sqrt 1) into 1 7.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (+ 0 0) into 0 7.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.008 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.008 * [taylor]: Taking taylor expansion of re in re 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.008 * [backup-simplify]: Simplify (/ 1 1) into 1 7.008 * [backup-simplify]: Simplify (- 1) into -1 7.008 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (- 0) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.018 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.019 * [backup-simplify]: Simplify (- 0) into 0 7.020 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.020 * [backup-simplify]: Simplify (sqrt 0) into 0 7.021 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.021 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.021 * [taylor]: Taking taylor expansion of 2.0 in re 7.021 * [backup-simplify]: Simplify 2.0 into 2.0 7.021 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.022 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.022 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.022 * [taylor]: Taking taylor expansion of im in re 7.022 * [backup-simplify]: Simplify im into im 7.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.023 * [taylor]: Taking taylor expansion of re in re 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (* 1 1) into 1 7.024 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [backup-simplify]: Simplify (+ 0 1) into 1 7.025 * [backup-simplify]: Simplify (sqrt 1) into 1 7.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (+ 0 0) into 0 7.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.027 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.027 * [taylor]: Taking taylor expansion of re in re 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (/ 1 1) into 1 7.028 * [backup-simplify]: Simplify (- 1) into -1 7.028 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify (- 0) into 0 7.030 * [backup-simplify]: Simplify (+ 0 0) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.032 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.033 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.035 * [backup-simplify]: Simplify (- 0) into 0 7.035 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.035 * [backup-simplify]: Simplify (sqrt 0) into 0 7.036 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.036 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.037 * [taylor]: Taking taylor expansion of 0 in im 7.037 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 7.038 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 7.038 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 7.038 * [taylor]: Taking taylor expansion of +nan.0 in im 7.038 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.038 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 7.038 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.038 * [taylor]: Taking taylor expansion of 2.0 in im 7.038 * [backup-simplify]: Simplify 2.0 into 2.0 7.038 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.039 * [taylor]: Taking taylor expansion of im in im 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.043 * [backup-simplify]: Simplify (- 0) into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (+ 0 0) into 0 7.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.048 * [backup-simplify]: Simplify (- 0) into 0 7.048 * [backup-simplify]: Simplify (+ 0 0) into 0 7.049 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 7.051 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.052 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 7.052 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 7.052 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 7.052 * [taylor]: Taking taylor expansion of +nan.0 in im 7.052 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.052 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 7.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.052 * [taylor]: Taking taylor expansion of 2.0 in im 7.052 * [backup-simplify]: Simplify 2.0 into 2.0 7.052 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.053 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.053 * [taylor]: Taking taylor expansion of im in im 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 1 into 1 7.053 * [backup-simplify]: Simplify (* 1 1) into 1 7.054 * [backup-simplify]: Simplify (* 1 1) into 1 7.054 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.062 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.062 * [backup-simplify]: Simplify (- 0) into 0 7.062 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.065 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.065 * [backup-simplify]: Simplify (- 0) into 0 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.067 * [backup-simplify]: Simplify (+ 0 0) into 0 7.068 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 7.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.069 * [backup-simplify]: Simplify (- 0) into 0 7.069 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 7.070 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 7.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.071 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 7.072 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 7.072 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 7.072 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 7.072 * [taylor]: Taking taylor expansion of +nan.0 in im 7.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.072 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 7.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.072 * [taylor]: Taking taylor expansion of 2.0 in im 7.072 * [backup-simplify]: Simplify 2.0 into 2.0 7.072 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.072 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.072 * [taylor]: Taking taylor expansion of im in im 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify 1 into 1 7.073 * [backup-simplify]: Simplify (* 1 1) into 1 7.073 * [backup-simplify]: Simplify (* 1 1) into 1 7.074 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.074 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 7.074 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 7.074 * [taylor]: Taking taylor expansion of +nan.0 in im 7.074 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.074 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 7.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.074 * [taylor]: Taking taylor expansion of 2.0 in im 7.074 * [backup-simplify]: Simplify 2.0 into 2.0 7.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.074 * [taylor]: Taking taylor expansion of (pow im 6) in im 7.074 * [taylor]: Taking taylor expansion of im in im 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.075 * [backup-simplify]: Simplify (* 1 1) into 1 7.075 * [backup-simplify]: Simplify (* 1 1) into 1 7.075 * [backup-simplify]: Simplify (* 1 1) into 1 7.076 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.076 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.086 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.088 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 7.114 * [backup-simplify]: Simplify (- 0) into 0 7.115 * [backup-simplify]: Simplify (+ 0 0) into 0 7.115 * [backup-simplify]: Simplify (- 0) into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) 3)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 7.116 * [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 7.116 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 7.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.116 * [taylor]: Taking taylor expansion of 2.0 in im 7.116 * [backup-simplify]: Simplify 2.0 into 2.0 7.117 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.117 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.118 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.118 * [taylor]: Taking taylor expansion of re in im 7.118 * [backup-simplify]: Simplify re into re 7.118 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.118 * [taylor]: Taking taylor expansion of im in im 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (* 1 1) into 1 7.119 * [backup-simplify]: Simplify (/ 1 1) into 1 7.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.119 * [taylor]: Taking taylor expansion of re in im 7.119 * [backup-simplify]: Simplify re into re 7.119 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.119 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.120 * [backup-simplify]: Simplify (+ 1 0) into 1 7.120 * [backup-simplify]: Simplify (sqrt 1) into 1 7.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (+ 0 0) into 0 7.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.123 * [backup-simplify]: Simplify (+ 0 1) into 1 7.124 * [backup-simplify]: Simplify (sqrt 0) into 0 7.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.125 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.125 * [taylor]: Taking taylor expansion of 2.0 in re 7.125 * [backup-simplify]: Simplify 2.0 into 2.0 7.126 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.126 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.126 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.127 * [taylor]: Taking taylor expansion of re in re 7.127 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (/ 1 1) into 1 7.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.127 * [taylor]: Taking taylor expansion of im in re 7.127 * [backup-simplify]: Simplify im into im 7.127 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.128 * [taylor]: Taking taylor expansion of re in re 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 1 into 1 7.128 * [backup-simplify]: Simplify (* 1 1) into 1 7.128 * [backup-simplify]: Simplify (/ 1 1) into 1 7.129 * [backup-simplify]: Simplify (+ 0 1) into 1 7.129 * [backup-simplify]: Simplify (sqrt 1) into 1 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.131 * [backup-simplify]: Simplify (+ 0 0) into 0 7.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.132 * [backup-simplify]: Simplify (+ 1 1) into 2 7.132 * [backup-simplify]: Simplify (sqrt 0) into 0 7.134 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.134 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.134 * [taylor]: Taking taylor expansion of 2.0 in re 7.134 * [backup-simplify]: Simplify 2.0 into 2.0 7.134 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.135 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.135 * [taylor]: Taking taylor expansion of re in re 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (/ 1 1) into 1 7.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.136 * [taylor]: Taking taylor expansion of im in re 7.136 * [backup-simplify]: Simplify im into im 7.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.136 * [taylor]: Taking taylor expansion of re in re 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.137 * [backup-simplify]: Simplify (* 1 1) into 1 7.137 * [backup-simplify]: Simplify (/ 1 1) into 1 7.138 * [backup-simplify]: Simplify (+ 0 1) into 1 7.138 * [backup-simplify]: Simplify (sqrt 1) into 1 7.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.140 * [backup-simplify]: Simplify (+ 0 0) into 0 7.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.141 * [backup-simplify]: Simplify (+ 1 1) into 2 7.141 * [backup-simplify]: Simplify (sqrt 0) into 0 7.142 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.143 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.143 * [taylor]: Taking taylor expansion of 0 in im 7.143 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.145 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.145 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.145 * [taylor]: Taking taylor expansion of +nan.0 in im 7.145 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.145 * [taylor]: Taking taylor expansion of 2.0 in im 7.145 * [backup-simplify]: Simplify 2.0 into 2.0 7.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.152 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.154 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.154 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.154 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.154 * [taylor]: Taking taylor expansion of +nan.0 in im 7.154 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.154 * [taylor]: Taking taylor expansion of 2.0 in im 7.154 * [backup-simplify]: Simplify 2.0 into 2.0 7.154 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.155 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.156 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.157 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.157 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.159 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.160 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.160 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.161 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.163 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 7.163 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 7.163 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 7.163 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 7.163 * [taylor]: Taking taylor expansion of +nan.0 in im 7.163 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.163 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 7.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.163 * [taylor]: Taking taylor expansion of 2.0 in im 7.163 * [backup-simplify]: Simplify 2.0 into 2.0 7.163 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.164 * [taylor]: Taking taylor expansion of im in im 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 1 into 1 7.164 * [backup-simplify]: Simplify (* 1 1) into 1 7.165 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.165 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.165 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.165 * [taylor]: Taking taylor expansion of +nan.0 in im 7.165 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.165 * [taylor]: Taking taylor expansion of 2.0 in im 7.165 * [backup-simplify]: Simplify 2.0 into 2.0 7.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.168 * [backup-simplify]: Simplify (+ 0 0) into 0 7.168 * [backup-simplify]: Simplify (- 0) into 0 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.169 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.170 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.171 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.171 * [backup-simplify]: Simplify (- 0) into 0 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.174 * [backup-simplify]: Simplify (+ 0 0) into 0 7.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.175 * [backup-simplify]: Simplify (+ 0 0) into 0 7.176 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.181 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 7.181 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 7.181 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 7.181 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 7.181 * [taylor]: Taking taylor expansion of +nan.0 in im 7.181 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.181 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 7.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.181 * [taylor]: Taking taylor expansion of 2.0 in im 7.181 * [backup-simplify]: Simplify 2.0 into 2.0 7.182 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.182 * [taylor]: Taking taylor expansion of im in im 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.183 * [backup-simplify]: Simplify (* 1 1) into 1 7.184 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.184 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.184 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.184 * [taylor]: Taking taylor expansion of +nan.0 in im 7.184 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.184 * [taylor]: Taking taylor expansion of 2.0 in im 7.184 * [backup-simplify]: Simplify 2.0 into 2.0 7.184 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.188 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.188 * [backup-simplify]: Simplify (+ 0 0) into 0 7.189 * [backup-simplify]: Simplify (- 0) into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.192 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.193 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.194 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.195 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.196 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.200 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 7.200 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 7.200 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 7.200 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 7.200 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 7.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.200 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.200 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.200 * [taylor]: Taking taylor expansion of re in im 7.200 * [backup-simplify]: Simplify re into re 7.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.200 * [taylor]: Taking taylor expansion of im in im 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.200 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.200 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.200 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.201 * [backup-simplify]: Simplify (+ 0 0) into 0 7.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.201 * [taylor]: Taking taylor expansion of re in im 7.201 * [backup-simplify]: Simplify re into re 7.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.201 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.201 * [taylor]: Taking taylor expansion of re in re 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 1 into 1 7.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.201 * [taylor]: Taking taylor expansion of im in re 7.201 * [backup-simplify]: Simplify im into im 7.201 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.201 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.201 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.202 * [taylor]: Taking taylor expansion of re in re 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.202 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.202 * [taylor]: Taking taylor expansion of re in re 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.202 * [taylor]: Taking taylor expansion of im in re 7.202 * [backup-simplify]: Simplify im into im 7.202 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.202 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.202 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.202 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.203 * [taylor]: Taking taylor expansion of re in re 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (- 0) into 0 7.203 * [backup-simplify]: Simplify (+ im 0) into im 7.203 * [taylor]: Taking taylor expansion of im in im 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify (- 1) into -1 7.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.204 * [taylor]: Taking taylor expansion of -1 in im 7.204 * [backup-simplify]: Simplify -1 into -1 7.204 * [backup-simplify]: Simplify -1 into -1 7.204 * [backup-simplify]: Simplify 1 into 1 7.204 * [backup-simplify]: Simplify (* 1 1) into 1 7.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.204 * [backup-simplify]: Simplify (+ 1 0) into 1 7.205 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.205 * [backup-simplify]: Simplify (- 0) into 0 7.205 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 7.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.205 * [taylor]: Taking taylor expansion of 1/2 in im 7.205 * [backup-simplify]: Simplify 1/2 into 1/2 7.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.205 * [taylor]: Taking taylor expansion of im in im 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 1 into 1 7.206 * [backup-simplify]: Simplify (/ 1 1) into 1 7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.207 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.208 * [backup-simplify]: Simplify (+ 0 0) into 0 7.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.208 * [backup-simplify]: Simplify (- 0) into 0 7.208 * [backup-simplify]: Simplify (+ 0 0) into 0 7.208 * [taylor]: Taking taylor expansion of 0 in im 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.209 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 7.210 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 7.210 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 7.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.210 * [taylor]: Taking taylor expansion of im in im 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.210 * [backup-simplify]: Simplify (* 1 1) into 1 7.211 * [backup-simplify]: Simplify (/ 1 1) into 1 7.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.211 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.211 * [taylor]: Taking taylor expansion of re in im 7.211 * [backup-simplify]: Simplify re into re 7.211 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.211 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.211 * [backup-simplify]: Simplify (+ 1 0) into 1 7.211 * [backup-simplify]: Simplify (sqrt 1) into 1 7.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (+ 0 0) into 0 7.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.213 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.213 * [taylor]: Taking taylor expansion of re in im 7.213 * [backup-simplify]: Simplify re into re 7.213 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.213 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.213 * [taylor]: Taking taylor expansion of im in re 7.213 * [backup-simplify]: Simplify im into im 7.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.213 * [taylor]: Taking taylor expansion of re in re 7.213 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify 1 into 1 7.214 * [backup-simplify]: Simplify (* 1 1) into 1 7.214 * [backup-simplify]: Simplify (/ 1 1) into 1 7.214 * [backup-simplify]: Simplify (+ 0 1) into 1 7.214 * [backup-simplify]: Simplify (sqrt 1) into 1 7.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.216 * [backup-simplify]: Simplify (+ 0 0) into 0 7.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.216 * [taylor]: Taking taylor expansion of re in re 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (/ 1 1) into 1 7.216 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.217 * [taylor]: Taking taylor expansion of im in re 7.217 * [backup-simplify]: Simplify im into im 7.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.217 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.217 * [taylor]: Taking taylor expansion of re in re 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify 1 into 1 7.217 * [backup-simplify]: Simplify (* 1 1) into 1 7.218 * [backup-simplify]: Simplify (/ 1 1) into 1 7.218 * [backup-simplify]: Simplify (+ 0 1) into 1 7.219 * [backup-simplify]: Simplify (sqrt 1) into 1 7.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.221 * [backup-simplify]: Simplify (+ 0 0) into 0 7.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.221 * [taylor]: Taking taylor expansion of re in re 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (/ 1 1) into 1 7.222 * [backup-simplify]: Simplify (- 1) into -1 7.223 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.223 * [taylor]: Taking taylor expansion of 0 in im 7.223 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (- 0) into 0 7.224 * [backup-simplify]: Simplify (+ 0 0) into 0 7.224 * [taylor]: Taking taylor expansion of 0 in im 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.229 * [backup-simplify]: Simplify (- 0) into 0 7.229 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.230 * [taylor]: Taking taylor expansion of 1/2 in im 7.230 * [backup-simplify]: Simplify 1/2 into 1/2 7.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.230 * [taylor]: Taking taylor expansion of im in im 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (* 1 1) into 1 7.230 * [backup-simplify]: Simplify (/ 1 1) into 1 7.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (+ 0 0) into 0 7.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.237 * [backup-simplify]: Simplify (- 0) into 0 7.238 * [backup-simplify]: Simplify (+ 0 0) into 0 7.238 * [taylor]: Taking taylor expansion of 0 in im 7.238 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 7.242 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 7.242 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.242 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.242 * [taylor]: Taking taylor expansion of re in im 7.242 * [backup-simplify]: Simplify re into re 7.242 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.242 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.242 * [taylor]: Taking taylor expansion of im in im 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 1 into 1 7.243 * [backup-simplify]: Simplify (* 1 1) into 1 7.243 * [backup-simplify]: Simplify (/ 1 1) into 1 7.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.243 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.243 * [taylor]: Taking taylor expansion of re in im 7.243 * [backup-simplify]: Simplify re into re 7.243 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.243 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.244 * [backup-simplify]: Simplify (+ 1 0) into 1 7.244 * [backup-simplify]: Simplify (sqrt 1) into 1 7.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify (+ 0 0) into 0 7.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.247 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.247 * [taylor]: Taking taylor expansion of re in re 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (/ 1 1) into 1 7.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.247 * [taylor]: Taking taylor expansion of im in re 7.247 * [backup-simplify]: Simplify im into im 7.247 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.248 * [taylor]: Taking taylor expansion of re in re 7.248 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (* 1 1) into 1 7.249 * [backup-simplify]: Simplify (/ 1 1) into 1 7.249 * [backup-simplify]: Simplify (+ 0 1) into 1 7.249 * [backup-simplify]: Simplify (sqrt 1) into 1 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.251 * [backup-simplify]: Simplify (+ 0 0) into 0 7.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.252 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.252 * [taylor]: Taking taylor expansion of re in re 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify 1 into 1 7.252 * [backup-simplify]: Simplify (/ 1 1) into 1 7.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.252 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.252 * [taylor]: Taking taylor expansion of im in re 7.253 * [backup-simplify]: Simplify im into im 7.253 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.253 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.253 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.253 * [taylor]: Taking taylor expansion of re in re 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.253 * [backup-simplify]: Simplify (* 1 1) into 1 7.254 * [backup-simplify]: Simplify (/ 1 1) into 1 7.254 * [backup-simplify]: Simplify (+ 0 1) into 1 7.254 * [backup-simplify]: Simplify (sqrt 1) into 1 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.256 * [backup-simplify]: Simplify (+ 0 0) into 0 7.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.257 * [backup-simplify]: Simplify (+ 1 1) into 2 7.257 * [taylor]: Taking taylor expansion of 2 in im 7.258 * [backup-simplify]: Simplify 2 into 2 7.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (+ 0 0) into 0 7.259 * [taylor]: Taking taylor expansion of 0 in im 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 2 into 2 7.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.263 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.263 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.263 * [taylor]: Taking taylor expansion of 1/2 in im 7.263 * [backup-simplify]: Simplify 1/2 into 1/2 7.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.263 * [taylor]: Taking taylor expansion of im in im 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (* 1 1) into 1 7.264 * [backup-simplify]: Simplify (/ 1 1) into 1 7.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.275 * [backup-simplify]: Simplify (+ 0 0) into 0 7.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.276 * [backup-simplify]: Simplify (+ 0 0) into 0 7.276 * [taylor]: Taking taylor expansion of 0 in im 7.276 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 7.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.280 * [backup-simplify]: Simplify (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) into (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) 7.280 * [approximate]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in (re im) around 0 7.280 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in im 7.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 7.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.280 * [taylor]: Taking taylor expansion of 2.0 in im 7.280 * [backup-simplify]: Simplify 2.0 into 2.0 7.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.281 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 7.281 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 7.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.281 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.281 * [taylor]: Taking taylor expansion of re in im 7.281 * [backup-simplify]: Simplify re into re 7.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.281 * [taylor]: Taking taylor expansion of im in im 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.282 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.282 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.282 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.282 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.282 * [backup-simplify]: Simplify (+ 0 0) into 0 7.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.283 * [taylor]: Taking taylor expansion of re in im 7.283 * [backup-simplify]: Simplify re into re 7.283 * [backup-simplify]: Simplify (- re) into (- re) 7.283 * [backup-simplify]: Simplify (+ re (- re)) into 0 7.283 * [backup-simplify]: Simplify (- 0) into 0 7.283 * [backup-simplify]: Simplify (+ 0 0) into 0 7.284 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.284 * [backup-simplify]: Simplify (* 1 1) into 1 7.285 * [backup-simplify]: Simplify (+ 0 1) into 1 7.285 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.285 * [backup-simplify]: Simplify (- 0) into 0 7.286 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 7.286 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.286 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 7.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.287 * [backup-simplify]: Simplify (+ 0 0) into 0 7.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 7.287 * [backup-simplify]: Simplify (- 0) into 0 7.287 * [backup-simplify]: Simplify (+ 0 0) into 0 7.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 7.288 * [backup-simplify]: Simplify (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 7.288 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in re 7.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 7.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.288 * [taylor]: Taking taylor expansion of 2.0 in re 7.288 * [backup-simplify]: Simplify 2.0 into 2.0 7.288 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.289 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 7.289 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.289 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.289 * [taylor]: Taking taylor expansion of re in re 7.289 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify 1 into 1 7.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.289 * [taylor]: Taking taylor expansion of im in re 7.289 * [backup-simplify]: Simplify im into im 7.289 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.289 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.289 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.290 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.290 * [backup-simplify]: Simplify (+ 0 0) into 0 7.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.290 * [taylor]: Taking taylor expansion of re in re 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.290 * [backup-simplify]: Simplify (- 0) into 0 7.290 * [backup-simplify]: Simplify (+ im 0) into im 7.290 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.290 * [backup-simplify]: Simplify (- 1) into -1 7.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.291 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 7.291 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 7.291 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in re 7.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 7.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.291 * [taylor]: Taking taylor expansion of 2.0 in re 7.291 * [backup-simplify]: Simplify 2.0 into 2.0 7.291 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.292 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 7.292 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.292 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.292 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.292 * [taylor]: Taking taylor expansion of re in re 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.292 * [taylor]: Taking taylor expansion of im in re 7.292 * [backup-simplify]: Simplify im into im 7.292 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.292 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.292 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.293 * [backup-simplify]: Simplify (+ 0 0) into 0 7.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.293 * [taylor]: Taking taylor expansion of re in re 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (- 0) into 0 7.293 * [backup-simplify]: Simplify (+ im 0) into im 7.293 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.293 * [backup-simplify]: Simplify (- 1) into -1 7.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.294 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 7.294 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 7.295 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt im)) (* (sqrt 2.0) (sqrt im))) into (* (pow (sqrt 2.0) 2) im) 7.296 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt im)) (* (pow (sqrt 2.0) 2) im)) into (* (pow (sqrt 2.0) 3) (sqrt (pow im 3))) 7.296 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 3) (sqrt (pow im 3))) in im 7.296 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.296 * [taylor]: Taking taylor expansion of 2.0 in im 7.296 * [backup-simplify]: Simplify 2.0 into 2.0 7.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.297 * [taylor]: Taking taylor expansion of (sqrt (pow im 3)) in im 7.297 * [taylor]: Taking taylor expansion of (pow im 3) in im 7.297 * [taylor]: Taking taylor expansion of im in im 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 1 into 1 7.297 * [backup-simplify]: Simplify (* 1 1) into 1 7.297 * [backup-simplify]: Simplify (* 1 1) into 1 7.298 * [backup-simplify]: Simplify (sqrt 0) into 0 7.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.299 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.301 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.303 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.304 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.304 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.306 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.306 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 7.309 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.311 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.311 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 7.313 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt im)) (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))) (* (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) (* (sqrt 2.0) (sqrt im)))) into (- (pow (sqrt 2.0) 2)) 7.315 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt im)) (- (pow (sqrt 2.0) 2))) (* (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) (* (pow (sqrt 2.0) 2) im))) into (- (* 3/2 (* (pow (sqrt 2.0) 3) (sqrt im)))) 7.315 * [taylor]: Taking taylor expansion of (- (* 3/2 (* (pow (sqrt 2.0) 3) (sqrt im)))) in im 7.315 * [taylor]: Taking taylor expansion of (* 3/2 (* (pow (sqrt 2.0) 3) (sqrt im))) in im 7.315 * [taylor]: Taking taylor expansion of 3/2 in im 7.315 * [backup-simplify]: Simplify 3/2 into 3/2 7.315 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 3) (sqrt im)) in im 7.315 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.315 * [taylor]: Taking taylor expansion of 2.0 in im 7.315 * [backup-simplify]: Simplify 2.0 into 2.0 7.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.316 * [taylor]: Taking taylor expansion of (sqrt im) in im 7.316 * [taylor]: Taking taylor expansion of im in im 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.316 * [backup-simplify]: Simplify (sqrt 0) into 0 7.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.318 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.319 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.326 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.326 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 7.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.328 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.329 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 7.331 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.333 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.335 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.336 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 3) 0) into 0 7.340 * [backup-simplify]: Simplify (+ (* 3/2 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (+ (* 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (+ (* 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.342 * [backup-simplify]: Simplify (- (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.344 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.352 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.353 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 7.358 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.361 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.370 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* im 1) 4)) (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (* (pow im 3) re)) (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* im 1) 3)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (* (pow im 3) re))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 3))) (- (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 4)))))))) 7.371 * [backup-simplify]: Simplify (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) 3) into (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) 7.371 * [approximate]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in (re im) around 0 7.371 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in im 7.371 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 7.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.371 * [taylor]: Taking taylor expansion of 2.0 in im 7.371 * [backup-simplify]: Simplify 2.0 into 2.0 7.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.373 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 7.373 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.373 * [taylor]: Taking taylor expansion of im in im 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [backup-simplify]: Simplify (* 1 1) into 1 7.373 * [backup-simplify]: Simplify (/ 1 1) into 1 7.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.373 * [taylor]: Taking taylor expansion of re in im 7.373 * [backup-simplify]: Simplify re into re 7.373 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.373 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.374 * [backup-simplify]: Simplify (+ 1 0) into 1 7.374 * [backup-simplify]: Simplify (sqrt 1) into 1 7.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.375 * [backup-simplify]: Simplify (+ 0 0) into 0 7.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.376 * [taylor]: Taking taylor expansion of re in im 7.376 * [backup-simplify]: Simplify re into re 7.376 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.376 * [backup-simplify]: Simplify (+ 1 0) into 1 7.376 * [backup-simplify]: Simplify (sqrt 0) into 0 7.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.377 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.379 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.379 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in re 7.379 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.379 * [taylor]: Taking taylor expansion of 2.0 in re 7.379 * [backup-simplify]: Simplify 2.0 into 2.0 7.379 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.380 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.380 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.380 * [taylor]: Taking taylor expansion of im in re 7.380 * [backup-simplify]: Simplify im into im 7.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.380 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.380 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.380 * [taylor]: Taking taylor expansion of re in re 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.380 * [backup-simplify]: Simplify (* 1 1) into 1 7.384 * [backup-simplify]: Simplify (/ 1 1) into 1 7.384 * [backup-simplify]: Simplify (+ 0 1) into 1 7.384 * [backup-simplify]: Simplify (sqrt 1) into 1 7.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.385 * [backup-simplify]: Simplify (+ 0 0) into 0 7.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.386 * [taylor]: Taking taylor expansion of re in re 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.386 * [backup-simplify]: Simplify (/ 1 1) into 1 7.386 * [backup-simplify]: Simplify (- 1) into -1 7.387 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.387 * [backup-simplify]: Simplify (- 0) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.389 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (- 0) into 0 7.391 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.391 * [backup-simplify]: Simplify (sqrt 0) into 0 7.391 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.392 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.392 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 7.392 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in re 7.392 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.392 * [taylor]: Taking taylor expansion of 2.0 in re 7.392 * [backup-simplify]: Simplify 2.0 into 2.0 7.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.393 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.393 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.393 * [taylor]: Taking taylor expansion of im in re 7.393 * [backup-simplify]: Simplify im into im 7.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.394 * [taylor]: Taking taylor expansion of re in re 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify 1 into 1 7.394 * [backup-simplify]: Simplify (* 1 1) into 1 7.394 * [backup-simplify]: Simplify (/ 1 1) into 1 7.394 * [backup-simplify]: Simplify (+ 0 1) into 1 7.395 * [backup-simplify]: Simplify (sqrt 1) into 1 7.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.396 * [taylor]: Taking taylor expansion of re in re 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.396 * [backup-simplify]: Simplify (/ 1 1) into 1 7.397 * [backup-simplify]: Simplify (- 1) into -1 7.397 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.398 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.400 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (- 0) into 0 7.401 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.401 * [backup-simplify]: Simplify (sqrt 0) into 0 7.401 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.402 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.402 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 7.403 * [backup-simplify]: Simplify (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) into (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) 7.404 * [backup-simplify]: Simplify (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4)))) into (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) 7.404 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 7.404 * [taylor]: Taking taylor expansion of +nan.0 in im 7.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.404 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 7.404 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.404 * [taylor]: Taking taylor expansion of 2.0 in im 7.405 * [backup-simplify]: Simplify 2.0 into 2.0 7.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.405 * [taylor]: Taking taylor expansion of (pow im 6) in im 7.405 * [taylor]: Taking taylor expansion of im in im 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 1 into 1 7.406 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.407 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.407 * [backup-simplify]: Simplify (* 1 1) into 1 7.408 * [backup-simplify]: Simplify (* 1 1) into 1 7.408 * [backup-simplify]: Simplify (* 1 1) into 1 7.409 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3) 7.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.414 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 7.415 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 7.416 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 7.417 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.417 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.418 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.419 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0 7.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.431 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 7.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.433 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 7.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.436 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0 7.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.438 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0 7.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.441 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))) into 0 7.441 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.442 * [backup-simplify]: Simplify (+ 0 0) into 0 7.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.444 * [backup-simplify]: Simplify (- 0) into 0 7.444 * [backup-simplify]: Simplify (+ 0 0) into 0 7.444 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 7.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.446 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 7.448 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) into (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6)))) 7.450 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))))) (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))))) into (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8)))) 7.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8)))) in im 7.450 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) in im 7.450 * [taylor]: Taking taylor expansion of +nan.0 in im 7.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.450 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 8)) in im 7.450 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.450 * [taylor]: Taking taylor expansion of 2.0 in im 7.450 * [backup-simplify]: Simplify 2.0 into 2.0 7.451 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.451 * [taylor]: Taking taylor expansion of (pow im 8) in im 7.451 * [taylor]: Taking taylor expansion of im in im 7.451 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify 1 into 1 7.452 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.453 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.453 * [backup-simplify]: Simplify (* 1 1) into 1 7.454 * [backup-simplify]: Simplify (* 1 1) into 1 7.454 * [backup-simplify]: Simplify (* 1 1) into 1 7.455 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3) 7.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.462 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0 7.463 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0 7.464 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 7.464 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 7.465 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 7.466 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.467 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.467 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.468 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.491 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0 7.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.497 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.502 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 7.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.508 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0 7.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0 7.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0 7.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))) into 0 7.526 * [backup-simplify]: Simplify (- 0) into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.529 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0 7.530 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0 7.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.535 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))))) into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (+ 0 0) into 0 7.538 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify (- 0) into 0 7.539 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 7.540 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 7.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.542 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 7.546 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 8)))))) 7.551 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 8))))))) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4)))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10)))))) 7.551 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10)))))) in im 7.551 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10))))) in im 7.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) in im 7.551 * [taylor]: Taking taylor expansion of +nan.0 in im 7.551 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.551 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 8)) in im 7.551 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.551 * [taylor]: Taking taylor expansion of 2.0 in im 7.551 * [backup-simplify]: Simplify 2.0 into 2.0 7.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.552 * [taylor]: Taking taylor expansion of (pow im 8) in im 7.552 * [taylor]: Taking taylor expansion of im in im 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.554 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.554 * [backup-simplify]: Simplify (* 1 1) into 1 7.554 * [backup-simplify]: Simplify (* 1 1) into 1 7.554 * [backup-simplify]: Simplify (* 1 1) into 1 7.555 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3) 7.556 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10)))) in im 7.556 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10))) in im 7.556 * [taylor]: Taking taylor expansion of +nan.0 in im 7.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.556 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 10)) in im 7.556 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.556 * [taylor]: Taking taylor expansion of 2.0 in im 7.556 * [backup-simplify]: Simplify 2.0 into 2.0 7.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.556 * [taylor]: Taking taylor expansion of (pow im 10) in im 7.556 * [taylor]: Taking taylor expansion of im in im 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 1 into 1 7.557 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.558 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.559 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (* 1 1) into 1 7.560 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3) 7.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.573 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0 7.575 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0 7.577 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 7.578 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 7.580 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 7.581 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.582 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.583 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.585 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.613 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.618 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 7.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.624 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 7.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.629 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0 7.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.634 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0 7.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.638 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0 7.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.641 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0 7.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))) into 0 7.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.662 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))))) into 0 7.665 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))))) into 0 7.667 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0 7.669 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0 7.671 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 7.673 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 7.674 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 7.675 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.676 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.677 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.680 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))))) into 0 7.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 7.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 7.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 7.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 7.728 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 7.733 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.736 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.740 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.743 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0 7.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.748 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0 7.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0 7.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0 7.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.756 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))))) into 0 7.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.759 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))))) into 0 7.760 * [backup-simplify]: Simplify (- 0) into 0 7.760 * [backup-simplify]: Simplify (+ 0 0) into 0 7.760 * [backup-simplify]: Simplify (- 0) into 0 7.760 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.764 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))))) into 0 7.767 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))))) into 0 7.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 7.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 7.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.778 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))))))) into 0 7.779 * [backup-simplify]: Simplify (- 0) into 0 7.779 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.783 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0 7.785 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0 7.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))) into 0 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) 3) into (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) 7.797 * [approximate]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in (re im) around 0 7.797 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in im 7.797 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 7.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.797 * [taylor]: Taking taylor expansion of 2.0 in im 7.797 * [backup-simplify]: Simplify 2.0 into 2.0 7.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.798 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.798 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.798 * [taylor]: Taking taylor expansion of re in im 7.798 * [backup-simplify]: Simplify re into re 7.798 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.799 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.799 * [taylor]: Taking taylor expansion of im in im 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (* 1 1) into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.799 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.799 * [taylor]: Taking taylor expansion of re in im 7.800 * [backup-simplify]: Simplify re into re 7.800 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.800 * [backup-simplify]: Simplify (+ 1 0) into 1 7.801 * [backup-simplify]: Simplify (sqrt 1) into 1 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (+ 0 0) into 0 7.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.804 * [backup-simplify]: Simplify (+ 0 1) into 1 7.804 * [backup-simplify]: Simplify (sqrt 0) into 0 7.806 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.806 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.808 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.808 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in re 7.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.808 * [taylor]: Taking taylor expansion of 2.0 in re 7.808 * [backup-simplify]: Simplify 2.0 into 2.0 7.809 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.810 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.810 * [taylor]: Taking taylor expansion of re in re 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (/ 1 1) into 1 7.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.810 * [taylor]: Taking taylor expansion of im in re 7.810 * [backup-simplify]: Simplify im into im 7.810 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.811 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.811 * [taylor]: Taking taylor expansion of re in re 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.812 * [backup-simplify]: Simplify (/ 1 1) into 1 7.812 * [backup-simplify]: Simplify (+ 0 1) into 1 7.812 * [backup-simplify]: Simplify (sqrt 1) into 1 7.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (+ 0 0) into 0 7.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.815 * [backup-simplify]: Simplify (+ 1 1) into 2 7.816 * [backup-simplify]: Simplify (sqrt 0) into 0 7.817 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.818 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.820 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.820 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in re 7.820 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.820 * [taylor]: Taking taylor expansion of 2.0 in re 7.820 * [backup-simplify]: Simplify 2.0 into 2.0 7.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.821 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.821 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.821 * [taylor]: Taking taylor expansion of re in re 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (/ 1 1) into 1 7.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.822 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.822 * [taylor]: Taking taylor expansion of im in re 7.822 * [backup-simplify]: Simplify im into im 7.822 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.822 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.822 * [taylor]: Taking taylor expansion of re in re 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (* 1 1) into 1 7.823 * [backup-simplify]: Simplify (/ 1 1) into 1 7.823 * [backup-simplify]: Simplify (+ 0 1) into 1 7.824 * [backup-simplify]: Simplify (sqrt 1) into 1 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (+ 0 0) into 0 7.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.827 * [backup-simplify]: Simplify (+ 1 1) into 2 7.827 * [backup-simplify]: Simplify (sqrt 0) into 0 7.829 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.829 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.831 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.835 * [backup-simplify]: Simplify (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0)))) into (* +nan.0 (pow (sqrt 2.0) 2)) 7.840 * [backup-simplify]: Simplify (* (- (* +nan.0 (sqrt 2.0))) (* +nan.0 (pow (sqrt 2.0) 2))) into (* +nan.0 (pow (sqrt 2.0) 3)) 7.840 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 7.840 * [taylor]: Taking taylor expansion of +nan.0 in im 7.840 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.840 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.840 * [taylor]: Taking taylor expansion of 2.0 in im 7.840 * [backup-simplify]: Simplify 2.0 into 2.0 7.840 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.843 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.845 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.846 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 7.848 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 7.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.849 * [backup-simplify]: Simplify (+ 0 0) into 0 7.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.857 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.863 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0)))) (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0))))) into (- (* +nan.0 (pow (sqrt 2.0) 2))) 7.870 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (pow (sqrt 2.0) 2)))) (* (- (* +nan.0 (sqrt 2.0))) (* +nan.0 (pow (sqrt 2.0) 2)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.870 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 3))) in im 7.870 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 7.870 * [taylor]: Taking taylor expansion of +nan.0 in im 7.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.870 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.870 * [taylor]: Taking taylor expansion of 2.0 in im 7.870 * [backup-simplify]: Simplify 2.0 into 2.0 7.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.872 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.873 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.874 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 7.876 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.877 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.878 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.878 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.879 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 3))) into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.885 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.885 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.886 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.888 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 7.899 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))) (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0)))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 2))))) 7.912 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 2)))))) (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (pow (sqrt 2.0) 2)))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) (* +nan.0 (pow (sqrt 2.0) 2))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 3))))) 7.912 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 3))))) in im 7.912 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 3)))) in im 7.912 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) in im 7.912 * [taylor]: Taking taylor expansion of +nan.0 in im 7.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.912 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 2)) in im 7.912 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.912 * [taylor]: Taking taylor expansion of 2.0 in im 7.913 * [backup-simplify]: Simplify 2.0 into 2.0 7.913 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.913 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.913 * [taylor]: Taking taylor expansion of im in im 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.915 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.915 * [backup-simplify]: Simplify (* 1 1) into 1 7.916 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3) 7.916 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 3))) in im 7.917 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 7.917 * [taylor]: Taking taylor expansion of +nan.0 in im 7.917 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.917 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 7.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.917 * [taylor]: Taking taylor expansion of 2.0 in im 7.917 * [backup-simplify]: Simplify 2.0 into 2.0 7.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.919 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.919 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 7.920 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.921 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))) into 0 7.925 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 7.926 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 7.927 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 7.928 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.931 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.933 * [backup-simplify]: Simplify (- (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.934 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 7.939 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (* 1 (/ 1 (- re)))) (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (pow (sqrt 2.0) 3)) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) re))))))) 7.939 * * * [progress]: simplifying candidates 7.941 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (exp (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (cbrt (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 3)) (cbrt (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)) (cbrt (pow (sqrt 2.0) 3)) (cbrt (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3)) (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)) (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))) (cbrt (cbrt (pow (sqrt (* 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(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2))) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2))) (cbrt (pow (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 3)) (cbrt (pow (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 3)) (cbrt (pow (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 3)) (cbrt (pow (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 3)) (* (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))) (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (* (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (sqrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (sqrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (* (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (* (/ 1 2) 3) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 3)) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 1) (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 3) (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (sqrt 2.0) 3) (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow 1 3) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (exp (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (* (* (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 3) (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (sqrt 2.0) 3) (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow 1 3) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (pow (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 3) (pow (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 3) (pow (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 3) (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (/ 3 2) (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2)) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2)) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (* (pow im 3) re))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 3))) (- (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 4)))))))) 0 (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (pow (sqrt 2.0) 3)) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) re))))))) 7.946 * * [simplify]: Extracting # 0 : cost 0 7.946 * * [simplify]: Extracting # 1 : cost 0 7.947 * * [simplify]: Extracting # 2 : cost 0 7.947 * * [simplify]: Extracting # 3 : cost 0 7.947 * * [simplify]: Extracting # 4 : cost 0 7.948 * * [simplify]: Extracting # 5 : cost 0 7.948 * * [simplify]: Extracting # 6 : cost 0 7.949 * * [simplify]: Extracting # 7 : cost 0 7.949 * * [simplify]: Extracting # 8 : cost 0 7.950 * * [simplify]: Extracting # 9 : cost 0 7.950 * * [simplify]: Extracting # 10 : cost 0 7.950 * * [simplify]: Extracting # 11 : cost 0 7.951 * * [simplify]: Extracting # 12 : cost 0 7.951 * * [simplify]: iteration 0 : 181 enodes (cost 2003 ) 8.036 * * [simplify]: Extracting # 0 : cost 0 8.037 * * [simplify]: Extracting # 1 : cost 0 8.037 * * [simplify]: Extracting # 2 : cost 0 8.037 * * [simplify]: Extracting # 3 : cost 0 8.038 * * [simplify]: Extracting # 4 : cost 0 8.038 * * [simplify]: iteration 1 : 420 enodes (cost 1523 ) 8.204 * * [simplify]: Extracting # 0 : cost 0 8.205 * * [simplify]: Extracting # 1 : cost 0 8.207 * * [simplify]: Extracting # 2 : cost 0 8.208 * * [simplify]: Extracting # 3 : cost 0 8.210 * * [simplify]: Extracting # 4 : cost 0 8.211 * * [simplify]: iteration 2 : 1220 enodes (cost 1465 ) 8.860 * * [simplify]: Extracting # 0 : cost 0 8.866 * * [simplify]: Extracting # 1 : cost 0 8.874 * * [simplify]: Extracting # 2 : cost 0 8.880 * * [simplify]: Extracting # 3 : cost 0 8.887 * * [simplify]: Extracting # 4 : cost 0 8.893 * * [simplify]: Extracting # 5 : cost 0 8.903 * * [simplify]: iteration done: 5001 enodes (cost 1421 ) 8.903 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt 2.0) (sqrt 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2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) 1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (pow (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) 3/2)) (cbrt (pow (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) 3/2)) (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 (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (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))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (+ re (sqrt (+ (* re re) (* im im)))) re))) (- re) (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (* (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) 3/2 3 3/2 3/2 (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 3)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (pow (sqrt 2.0) 3) (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) 1 (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (* (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (exp (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (pow (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) 3) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (pow (sqrt 2.0) 3) (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3) 1 (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (pow (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 3) (pow (sqrt (+ (* im im) (* re (+ (+ re (sqrt (+ (* re re) (* im im)))) re)))) 3) (pow (sqrt (* 2.0 (+ (* im im) 0))) 3) (pow (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 3) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 3/2 (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (pow (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) 3/2) (pow (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) 3/2) im re (- re) (* (* +nan.0 (sqrt 2.0)) (+ (- im (* im re)) (- (* im im)))) 0 (+ (- (* +nan.0 (sqrt 2.0))) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) (- im re) 0 (* -2 re) (* (* (pow (sqrt 2.0) 3) +nan.0) (+ (- (* (pow im 3) re)) (- (pow im 3) (pow im 4)))) 0 (+ (* (pow (sqrt 2.0) 3) +nan.0) (- (* (/ 2.0 (/ re (sqrt 2.0))) (+ +nan.0 (/ +nan.0 re))))) 8.904 * * * [progress]: adding candidates to table 9.256 * * [progress]: iteration 4 / 4 9.256 * * * [progress]: picking best candidate 9.283 * * * * [pick]: Picked # 9.283 * * * [progress]: localizing error 9.304 * * * [progress]: generating rewritten candidates 9.304 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 9.315 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.327 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 9.389 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 9.475 * * * [progress]: generating series expansions 9.475 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 9.475 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 9.475 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.475 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.475 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.475 * [taylor]: Taking taylor expansion of re in im 9.475 * [backup-simplify]: Simplify re into re 9.475 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.476 * [taylor]: Taking taylor expansion of im in im 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify 1 into 1 9.476 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.476 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.476 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.477 * [backup-simplify]: Simplify (+ 0 0) into 0 9.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.477 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.477 * [taylor]: Taking taylor expansion of re in re 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify 1 into 1 9.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.477 * [taylor]: Taking taylor expansion of im in re 9.477 * [backup-simplify]: Simplify im into im 9.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.478 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.478 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.478 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.478 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.478 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.478 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.479 * [taylor]: Taking taylor expansion of re in re 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify 1 into 1 9.479 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.479 * [taylor]: Taking taylor expansion of im in re 9.479 * [backup-simplify]: Simplify im into im 9.479 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.479 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.479 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.480 * [backup-simplify]: Simplify (+ 0 0) into 0 9.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.480 * [taylor]: Taking taylor expansion of im in im 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify 1 into 1 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [taylor]: Taking taylor expansion of 0 in im 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify 1 into 1 9.481 * [backup-simplify]: Simplify (* 1 1) into 1 9.481 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.482 * [backup-simplify]: Simplify (+ 1 0) into 1 9.482 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.482 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.482 * [taylor]: Taking taylor expansion of 1/2 in im 9.482 * [backup-simplify]: Simplify 1/2 into 1/2 9.482 * [taylor]: Taking taylor expansion of im in im 9.483 * [backup-simplify]: Simplify 0 into 0 9.483 * [backup-simplify]: Simplify 1 into 1 9.483 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.486 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.486 * [backup-simplify]: Simplify (+ 0 0) into 0 9.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.486 * [taylor]: Taking taylor expansion of 0 in im 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.487 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.488 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.488 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.488 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.488 * [taylor]: Taking taylor expansion of im in im 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 1 into 1 9.489 * [backup-simplify]: Simplify (* 1 1) into 1 9.489 * [backup-simplify]: Simplify (/ 1 1) into 1 9.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.489 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.489 * [taylor]: Taking taylor expansion of re in im 9.489 * [backup-simplify]: Simplify re into re 9.489 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.489 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.490 * [backup-simplify]: Simplify (+ 1 0) into 1 9.490 * [backup-simplify]: Simplify (sqrt 1) into 1 9.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (+ 0 0) into 0 9.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.493 * [taylor]: Taking taylor expansion of im in re 9.493 * [backup-simplify]: Simplify im into im 9.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.494 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.494 * [taylor]: Taking taylor expansion of re in re 9.494 * [backup-simplify]: Simplify 0 into 0 9.494 * [backup-simplify]: Simplify 1 into 1 9.494 * [backup-simplify]: Simplify (* 1 1) into 1 9.494 * [backup-simplify]: Simplify (/ 1 1) into 1 9.495 * [backup-simplify]: Simplify (+ 0 1) into 1 9.495 * [backup-simplify]: Simplify (sqrt 1) into 1 9.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.497 * [backup-simplify]: Simplify (+ 0 0) into 0 9.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.498 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.498 * [taylor]: Taking taylor expansion of im in re 9.498 * [backup-simplify]: Simplify im into im 9.498 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.498 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.498 * [taylor]: Taking taylor expansion of re in re 9.498 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify 1 into 1 9.499 * [backup-simplify]: Simplify (* 1 1) into 1 9.499 * [backup-simplify]: Simplify (/ 1 1) into 1 9.500 * [backup-simplify]: Simplify (+ 0 1) into 1 9.500 * [backup-simplify]: Simplify (sqrt 1) into 1 9.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.502 * [backup-simplify]: Simplify (+ 0 0) into 0 9.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.503 * [taylor]: Taking taylor expansion of 1 in im 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [taylor]: Taking taylor expansion of 0 in im 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 1 into 1 9.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.505 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.506 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.506 * [taylor]: Taking taylor expansion of 1/2 in im 9.506 * [backup-simplify]: Simplify 1/2 into 1/2 9.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.506 * [taylor]: Taking taylor expansion of im in im 9.506 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [backup-simplify]: Simplify (* 1 1) into 1 9.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.512 * [backup-simplify]: Simplify (+ 0 0) into 0 9.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.513 * [taylor]: Taking taylor expansion of 0 in im 9.513 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.515 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.515 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.515 * [taylor]: Taking taylor expansion of im in im 9.515 * [backup-simplify]: Simplify 0 into 0 9.516 * [backup-simplify]: Simplify 1 into 1 9.516 * [backup-simplify]: Simplify (* 1 1) into 1 9.516 * [backup-simplify]: Simplify (/ 1 1) into 1 9.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.516 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.516 * [taylor]: Taking taylor expansion of re in im 9.516 * [backup-simplify]: Simplify re into re 9.517 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.517 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.517 * [backup-simplify]: Simplify (+ 1 0) into 1 9.517 * [backup-simplify]: Simplify (sqrt 1) into 1 9.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.518 * [backup-simplify]: Simplify (+ 0 0) into 0 9.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.519 * [taylor]: Taking taylor expansion of im in re 9.519 * [backup-simplify]: Simplify im into im 9.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.519 * [taylor]: Taking taylor expansion of re in re 9.519 * [backup-simplify]: Simplify 0 into 0 9.519 * [backup-simplify]: Simplify 1 into 1 9.520 * [backup-simplify]: Simplify (* 1 1) into 1 9.520 * [backup-simplify]: Simplify (/ 1 1) into 1 9.520 * [backup-simplify]: Simplify (+ 0 1) into 1 9.520 * [backup-simplify]: Simplify (sqrt 1) into 1 9.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.521 * [backup-simplify]: Simplify (+ 0 0) into 0 9.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.522 * [taylor]: Taking taylor expansion of im in re 9.522 * [backup-simplify]: Simplify im into im 9.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.523 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.523 * [taylor]: Taking taylor expansion of re in re 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 1 into 1 9.523 * [backup-simplify]: Simplify (* 1 1) into 1 9.524 * [backup-simplify]: Simplify (/ 1 1) into 1 9.524 * [backup-simplify]: Simplify (+ 0 1) into 1 9.525 * [backup-simplify]: Simplify (sqrt 1) into 1 9.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.526 * [backup-simplify]: Simplify (+ 0 0) into 0 9.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.527 * [taylor]: Taking taylor expansion of 1 in im 9.527 * [backup-simplify]: Simplify 1 into 1 9.527 * [taylor]: Taking taylor expansion of 0 in im 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify 1 into 1 9.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.529 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.531 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.531 * [taylor]: Taking taylor expansion of 1/2 in im 9.531 * [backup-simplify]: Simplify 1/2 into 1/2 9.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.531 * [taylor]: Taking taylor expansion of im in im 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify 1 into 1 9.531 * [backup-simplify]: Simplify (* 1 1) into 1 9.532 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.536 * [backup-simplify]: Simplify (+ 0 0) into 0 9.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.537 * [taylor]: Taking taylor expansion of 0 in im 9.537 * [backup-simplify]: Simplify 0 into 0 9.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.539 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.539 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.539 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 9.539 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 9.539 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.539 * [taylor]: Taking taylor expansion of 2.0 in im 9.540 * [backup-simplify]: Simplify 2.0 into 2.0 9.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.541 * [taylor]: Taking taylor expansion of im in im 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 1 into 1 9.541 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.541 * [taylor]: Taking taylor expansion of 2.0 in im 9.541 * [backup-simplify]: Simplify 2.0 into 2.0 9.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.542 * [taylor]: Taking taylor expansion of im in im 9.542 * [backup-simplify]: Simplify 0 into 0 9.542 * [backup-simplify]: Simplify 1 into 1 9.543 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.543 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.548 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.548 * [backup-simplify]: Simplify 0 into 0 9.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.551 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.551 * [backup-simplify]: Simplify 0 into 0 9.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.554 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.554 * [backup-simplify]: Simplify 0 into 0 9.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.557 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.557 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.559 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.561 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 9.561 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 9.561 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 9.562 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.562 * [taylor]: Taking taylor expansion of 2.0 in im 9.562 * [backup-simplify]: Simplify 2.0 into 2.0 9.562 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.562 * [taylor]: Taking taylor expansion of im in im 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 1 into 1 9.563 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.563 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.563 * [taylor]: Taking taylor expansion of 2.0 in im 9.563 * [backup-simplify]: Simplify 2.0 into 2.0 9.563 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.564 * [taylor]: Taking taylor expansion of im in im 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.564 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.565 * [backup-simplify]: Simplify 0 into 0 9.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.567 * [backup-simplify]: Simplify 0 into 0 9.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.568 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.570 * [backup-simplify]: Simplify 0 into 0 9.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.571 * [backup-simplify]: Simplify 0 into 0 9.572 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.573 * [backup-simplify]: Simplify 0 into 0 9.573 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 9.573 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 9.573 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 9.573 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.573 * [taylor]: Taking taylor expansion of 2.0 in im 9.573 * [backup-simplify]: Simplify 2.0 into 2.0 9.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.574 * [taylor]: Taking taylor expansion of im in im 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify 1 into 1 9.575 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.575 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.575 * [taylor]: Taking taylor expansion of 2.0 in im 9.575 * [backup-simplify]: Simplify 2.0 into 2.0 9.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.576 * [taylor]: Taking taylor expansion of im in im 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.577 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.578 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.583 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.585 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.588 * [backup-simplify]: Simplify 0 into 0 9.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.591 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 9.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 9.592 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 9.592 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 9.592 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 9.592 * [taylor]: Taking taylor expansion of re in im 9.592 * [backup-simplify]: Simplify re into re 9.592 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.592 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.592 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.592 * [taylor]: Taking taylor expansion of re in im 9.592 * [backup-simplify]: Simplify re into re 9.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.592 * [taylor]: Taking taylor expansion of im in im 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.592 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.593 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.593 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.593 * [backup-simplify]: Simplify (+ 0 0) into 0 9.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.593 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 9.593 * [taylor]: Taking taylor expansion of re in re 9.593 * [backup-simplify]: Simplify 0 into 0 9.593 * [backup-simplify]: Simplify 1 into 1 9.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.594 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.594 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.594 * [taylor]: Taking taylor expansion of re in re 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.594 * [taylor]: Taking taylor expansion of im in re 9.594 * [backup-simplify]: Simplify im into im 9.594 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.594 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.594 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.594 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.595 * [backup-simplify]: Simplify (+ 0 0) into 0 9.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.595 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 9.595 * [taylor]: Taking taylor expansion of re in re 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 1 into 1 9.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.595 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.595 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.595 * [taylor]: Taking taylor expansion of re in re 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 1 into 1 9.595 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.595 * [taylor]: Taking taylor expansion of im in re 9.595 * [backup-simplify]: Simplify im into im 9.595 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.595 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.596 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.596 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.596 * [backup-simplify]: Simplify (+ 0 0) into 0 9.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.596 * [backup-simplify]: Simplify (+ 0 im) into im 9.596 * [taylor]: Taking taylor expansion of im in im 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 1 into 1 9.596 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify (+ 1 0) into 1 9.597 * [taylor]: Taking taylor expansion of 1 in im 9.597 * [backup-simplify]: Simplify 1 into 1 9.597 * [backup-simplify]: Simplify 1 into 1 9.597 * [backup-simplify]: Simplify 1 into 1 9.598 * [backup-simplify]: Simplify (* 1 1) into 1 9.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.598 * [backup-simplify]: Simplify (+ 1 0) into 1 9.599 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.599 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 9.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 9.599 * [taylor]: Taking taylor expansion of 1/2 in im 9.599 * [backup-simplify]: Simplify 1/2 into 1/2 9.599 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.599 * [taylor]: Taking taylor expansion of im in im 9.599 * [backup-simplify]: Simplify 0 into 0 9.599 * [backup-simplify]: Simplify 1 into 1 9.600 * [backup-simplify]: Simplify (/ 1 1) into 1 9.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.601 * [backup-simplify]: Simplify 0 into 0 9.601 * [backup-simplify]: Simplify 0 into 0 9.601 * [backup-simplify]: Simplify 0 into 0 9.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.603 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.604 * [backup-simplify]: Simplify (+ 0 0) into 0 9.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.604 * [backup-simplify]: Simplify (+ 0 0) into 0 9.605 * [taylor]: Taking taylor expansion of 0 in im 9.605 * [backup-simplify]: Simplify 0 into 0 9.605 * [backup-simplify]: Simplify 0 into 0 9.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.607 * [backup-simplify]: Simplify 0 into 0 9.607 * [backup-simplify]: Simplify 0 into 0 9.607 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 9.607 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 9.607 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 9.607 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 9.607 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.607 * [taylor]: Taking taylor expansion of re in im 9.607 * [backup-simplify]: Simplify re into re 9.607 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.608 * [taylor]: Taking taylor expansion of im in im 9.608 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify 1 into 1 9.608 * [backup-simplify]: Simplify (* 1 1) into 1 9.609 * [backup-simplify]: Simplify (/ 1 1) into 1 9.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.609 * [taylor]: Taking taylor expansion of re in im 9.609 * [backup-simplify]: Simplify re into re 9.609 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.609 * [backup-simplify]: Simplify (+ 1 0) into 1 9.610 * [backup-simplify]: Simplify (sqrt 1) into 1 9.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.612 * [backup-simplify]: Simplify (+ 0 0) into 0 9.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.618 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 9.618 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.618 * [taylor]: Taking taylor expansion of re in re 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.619 * [backup-simplify]: Simplify (/ 1 1) into 1 9.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.619 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.619 * [taylor]: Taking taylor expansion of im in re 9.619 * [backup-simplify]: Simplify im into im 9.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.619 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.619 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.619 * [taylor]: Taking taylor expansion of re in re 9.619 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify 1 into 1 9.620 * [backup-simplify]: Simplify (* 1 1) into 1 9.620 * [backup-simplify]: Simplify (/ 1 1) into 1 9.620 * [backup-simplify]: Simplify (+ 0 1) into 1 9.620 * [backup-simplify]: Simplify (sqrt 1) into 1 9.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.622 * [backup-simplify]: Simplify (+ 0 0) into 0 9.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.622 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 9.622 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.622 * [taylor]: Taking taylor expansion of re in re 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [backup-simplify]: Simplify (/ 1 1) into 1 9.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.623 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.623 * [taylor]: Taking taylor expansion of im in re 9.623 * [backup-simplify]: Simplify im into im 9.623 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.623 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.623 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.623 * [taylor]: Taking taylor expansion of re in re 9.623 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify 1 into 1 9.623 * [backup-simplify]: Simplify (* 1 1) into 1 9.623 * [backup-simplify]: Simplify (/ 1 1) into 1 9.624 * [backup-simplify]: Simplify (+ 0 1) into 1 9.624 * [backup-simplify]: Simplify (sqrt 1) into 1 9.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.625 * [backup-simplify]: Simplify (+ 0 0) into 0 9.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.626 * [backup-simplify]: Simplify (+ 1 1) into 2 9.626 * [taylor]: Taking taylor expansion of 2 in im 9.626 * [backup-simplify]: Simplify 2 into 2 9.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.626 * [backup-simplify]: Simplify (+ 0 0) into 0 9.626 * [taylor]: Taking taylor expansion of 0 in im 9.626 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify 2 into 2 9.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.628 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.629 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.629 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.629 * [taylor]: Taking taylor expansion of 1/2 in im 9.629 * [backup-simplify]: Simplify 1/2 into 1/2 9.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.629 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.629 * [taylor]: Taking taylor expansion of im in im 9.629 * [backup-simplify]: Simplify 0 into 0 9.629 * [backup-simplify]: Simplify 1 into 1 9.630 * [backup-simplify]: Simplify (* 1 1) into 1 9.630 * [backup-simplify]: Simplify (/ 1 1) into 1 9.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.632 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.634 * [backup-simplify]: Simplify (+ 0 0) into 0 9.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.634 * [backup-simplify]: Simplify (+ 0 0) into 0 9.634 * [taylor]: Taking taylor expansion of 0 in im 9.634 * [backup-simplify]: Simplify 0 into 0 9.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.636 * [backup-simplify]: Simplify 0 into 0 9.636 * [backup-simplify]: Simplify 0 into 0 9.636 * [backup-simplify]: Simplify 0 into 0 9.636 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 9.636 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 9.636 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 9.636 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 9.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.637 * [taylor]: Taking taylor expansion of im in im 9.637 * [backup-simplify]: Simplify 0 into 0 9.637 * [backup-simplify]: Simplify 1 into 1 9.637 * [backup-simplify]: Simplify (* 1 1) into 1 9.637 * [backup-simplify]: Simplify (/ 1 1) into 1 9.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.637 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.637 * [taylor]: Taking taylor expansion of re in im 9.637 * [backup-simplify]: Simplify re into re 9.637 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.637 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.638 * [backup-simplify]: Simplify (+ 1 0) into 1 9.638 * [backup-simplify]: Simplify (sqrt 1) into 1 9.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.639 * [backup-simplify]: Simplify (+ 0 0) into 0 9.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.639 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.639 * [taylor]: Taking taylor expansion of re in im 9.639 * [backup-simplify]: Simplify re into re 9.640 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.640 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 9.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.640 * [taylor]: Taking taylor expansion of im in re 9.640 * [backup-simplify]: Simplify im into im 9.640 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.640 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.640 * [taylor]: Taking taylor expansion of re in re 9.640 * [backup-simplify]: Simplify 0 into 0 9.640 * [backup-simplify]: Simplify 1 into 1 9.640 * [backup-simplify]: Simplify (* 1 1) into 1 9.640 * [backup-simplify]: Simplify (/ 1 1) into 1 9.641 * [backup-simplify]: Simplify (+ 0 1) into 1 9.641 * [backup-simplify]: Simplify (sqrt 1) into 1 9.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.643 * [backup-simplify]: Simplify (+ 0 0) into 0 9.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.644 * [taylor]: Taking taylor expansion of re in re 9.644 * [backup-simplify]: Simplify 0 into 0 9.644 * [backup-simplify]: Simplify 1 into 1 9.644 * [backup-simplify]: Simplify (/ 1 1) into 1 9.644 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 9.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.645 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.645 * [taylor]: Taking taylor expansion of im in re 9.645 * [backup-simplify]: Simplify im into im 9.645 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.645 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.645 * [taylor]: Taking taylor expansion of re in re 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 1 into 1 9.646 * [backup-simplify]: Simplify (* 1 1) into 1 9.646 * [backup-simplify]: Simplify (/ 1 1) into 1 9.647 * [backup-simplify]: Simplify (+ 0 1) into 1 9.647 * [backup-simplify]: Simplify (sqrt 1) into 1 9.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.649 * [backup-simplify]: Simplify (+ 0 0) into 0 9.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.650 * [taylor]: Taking taylor expansion of re in re 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify 1 into 1 9.651 * [backup-simplify]: Simplify (/ 1 1) into 1 9.651 * [backup-simplify]: Simplify (- 1) into -1 9.652 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.652 * [taylor]: Taking taylor expansion of 0 in im 9.652 * [backup-simplify]: Simplify 0 into 0 9.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.653 * [backup-simplify]: Simplify (- 0) into 0 9.653 * [backup-simplify]: Simplify (+ 0 0) into 0 9.653 * [taylor]: Taking taylor expansion of 0 in im 9.653 * [backup-simplify]: Simplify 0 into 0 9.653 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.655 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.658 * [backup-simplify]: Simplify (- 0) into 0 9.659 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.659 * [taylor]: Taking taylor expansion of 1/2 in im 9.659 * [backup-simplify]: Simplify 1/2 into 1/2 9.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.659 * [taylor]: Taking taylor expansion of im in im 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [backup-simplify]: Simplify 1 into 1 9.659 * [backup-simplify]: Simplify (* 1 1) into 1 9.660 * [backup-simplify]: Simplify (/ 1 1) into 1 9.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.665 * [backup-simplify]: Simplify (+ 0 0) into 0 9.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.667 * [backup-simplify]: Simplify (- 0) into 0 9.668 * [backup-simplify]: Simplify (+ 0 0) into 0 9.668 * [taylor]: Taking taylor expansion of 0 in im 9.668 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.671 * [backup-simplify]: Simplify 0 into 0 9.671 * [backup-simplify]: Simplify 0 into 0 9.671 * [backup-simplify]: Simplify 0 into 0 9.671 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.672 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 9.672 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 9.672 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 9.672 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 9.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.672 * [taylor]: Taking taylor expansion of 2.0 in re 9.672 * [backup-simplify]: Simplify 2.0 into 2.0 9.672 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.673 * [taylor]: Taking taylor expansion of im in re 9.673 * [backup-simplify]: Simplify im into im 9.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 9.673 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 9.673 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 9.673 * [taylor]: Taking taylor expansion of re in re 9.673 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify 1 into 1 9.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.673 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.673 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.674 * [taylor]: Taking taylor expansion of re in re 9.674 * [backup-simplify]: Simplify 0 into 0 9.674 * [backup-simplify]: Simplify 1 into 1 9.674 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.674 * [taylor]: Taking taylor expansion of im in re 9.674 * [backup-simplify]: Simplify im into im 9.674 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.674 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.674 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.675 * [backup-simplify]: Simplify (+ 0 0) into 0 9.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.675 * [backup-simplify]: Simplify (+ 0 im) into im 9.675 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.675 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 9.676 * [backup-simplify]: Simplify (+ 1 0) into 1 9.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 9.676 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 9.676 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 9.676 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.676 * [taylor]: Taking taylor expansion of 2.0 in im 9.676 * [backup-simplify]: Simplify 2.0 into 2.0 9.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.678 * [taylor]: Taking taylor expansion of im in im 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 1 into 1 9.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 9.678 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 9.678 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 9.678 * [taylor]: Taking taylor expansion of re in im 9.678 * [backup-simplify]: Simplify re into re 9.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.678 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.678 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.678 * [taylor]: Taking taylor expansion of re in im 9.678 * [backup-simplify]: Simplify re into re 9.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.678 * [taylor]: Taking taylor expansion of im in im 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 1 into 1 9.678 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.678 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.678 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.679 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.679 * [backup-simplify]: Simplify (+ 0 0) into 0 9.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.679 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.679 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.679 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.680 * [backup-simplify]: Simplify (+ 0 0) into 0 9.680 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.680 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 9.680 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.680 * [taylor]: Taking taylor expansion of 2.0 in im 9.680 * [backup-simplify]: Simplify 2.0 into 2.0 9.681 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.682 * [taylor]: Taking taylor expansion of im in im 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 9.682 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 9.682 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 9.682 * [taylor]: Taking taylor expansion of re in im 9.682 * [backup-simplify]: Simplify re into re 9.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.682 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.682 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.682 * [taylor]: Taking taylor expansion of re in im 9.682 * [backup-simplify]: Simplify re into re 9.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.682 * [taylor]: Taking taylor expansion of im in im 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.682 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.682 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.683 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.683 * [backup-simplify]: Simplify (+ 0 0) into 0 9.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.683 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.683 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.683 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.684 * [backup-simplify]: Simplify (+ 0 0) into 0 9.684 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.685 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.685 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 9.685 * [taylor]: Taking taylor expansion of 0 in re 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.689 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 9.689 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 9.689 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 9.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.689 * [taylor]: Taking taylor expansion of 2.0 in re 9.689 * [backup-simplify]: Simplify 2.0 into 2.0 9.690 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.690 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.690 * [taylor]: Taking taylor expansion of 1/2 in re 9.690 * [backup-simplify]: Simplify 1/2 into 1/2 9.691 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 9.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.692 * [taylor]: Taking taylor expansion of re in re 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 1 into 1 9.692 * [backup-simplify]: Simplify (/ 1 1) into 1 9.693 * [backup-simplify]: Simplify (sqrt 0) into 0 9.694 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.695 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 9.696 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 9.700 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.704 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.704 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.705 * [backup-simplify]: Simplify (* 1 1) into 1 9.706 * [backup-simplify]: Simplify (+ 0 1) into 1 9.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.707 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 9.707 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 9.709 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 9.710 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.711 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.714 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 9.714 * [taylor]: Taking taylor expansion of 0 in re 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.718 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.719 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.721 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.725 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.727 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.728 * [backup-simplify]: Simplify (+ 0 0) into 0 9.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.728 * [backup-simplify]: Simplify (+ 0 0) into 0 9.729 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 9.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 9.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.731 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 9.733 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 9.733 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 9.733 * [taylor]: Taking taylor expansion of 1/16 in re 9.733 * [backup-simplify]: Simplify 1/16 into 1/16 9.733 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 9.733 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 9.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.733 * [taylor]: Taking taylor expansion of 2.0 in re 9.733 * [backup-simplify]: Simplify 2.0 into 2.0 9.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.734 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.734 * [taylor]: Taking taylor expansion of 1/2 in re 9.734 * [backup-simplify]: Simplify 1/2 into 1/2 9.734 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.736 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 9.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 9.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 9.736 * [taylor]: Taking taylor expansion of (pow re 5) in re 9.736 * [taylor]: Taking taylor expansion of re in re 9.736 * [backup-simplify]: Simplify 0 into 0 9.736 * [backup-simplify]: Simplify 1 into 1 9.736 * [backup-simplify]: Simplify (* 1 1) into 1 9.736 * [backup-simplify]: Simplify (* 1 1) into 1 9.736 * [backup-simplify]: Simplify (* 1 1) into 1 9.737 * [backup-simplify]: Simplify (/ 1 1) into 1 9.737 * [backup-simplify]: Simplify (sqrt 0) into 0 9.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.752 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 9.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.755 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.756 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 9.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.761 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 9.765 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.768 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.770 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.771 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 9.776 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.779 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.781 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.788 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 9.788 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 9.788 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 9.788 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 9.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 9.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.788 * [taylor]: Taking taylor expansion of 2.0 in re 9.788 * [backup-simplify]: Simplify 2.0 into 2.0 9.789 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.789 * [taylor]: Taking taylor expansion of im in re 9.789 * [backup-simplify]: Simplify im into im 9.789 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 9.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 9.789 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 9.789 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 9.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.789 * [taylor]: Taking taylor expansion of re in re 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 1 into 1 9.790 * [backup-simplify]: Simplify (/ 1 1) into 1 9.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.790 * [taylor]: Taking taylor expansion of im in re 9.790 * [backup-simplify]: Simplify im into im 9.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.790 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.790 * [taylor]: Taking taylor expansion of re in re 9.790 * [backup-simplify]: Simplify 0 into 0 9.790 * [backup-simplify]: Simplify 1 into 1 9.790 * [backup-simplify]: Simplify (* 1 1) into 1 9.791 * [backup-simplify]: Simplify (/ 1 1) into 1 9.791 * [backup-simplify]: Simplify (+ 0 1) into 1 9.791 * [backup-simplify]: Simplify (sqrt 1) into 1 9.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.792 * [backup-simplify]: Simplify (+ 0 0) into 0 9.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.793 * [backup-simplify]: Simplify (+ 1 1) into 2 9.793 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.793 * [backup-simplify]: Simplify (sqrt 0) into 0 9.794 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 9.794 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 9.794 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.794 * [taylor]: Taking taylor expansion of 2.0 in im 9.794 * [backup-simplify]: Simplify 2.0 into 2.0 9.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.795 * [taylor]: Taking taylor expansion of im in im 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify 1 into 1 9.796 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.796 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 9.796 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 9.796 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 9.796 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.796 * [taylor]: Taking taylor expansion of re in im 9.796 * [backup-simplify]: Simplify re into re 9.796 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.796 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.796 * [taylor]: Taking taylor expansion of im in im 9.796 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify 1 into 1 9.796 * [backup-simplify]: Simplify (* 1 1) into 1 9.796 * [backup-simplify]: Simplify (/ 1 1) into 1 9.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.797 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.797 * [taylor]: Taking taylor expansion of re in im 9.797 * [backup-simplify]: Simplify re into re 9.797 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.797 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.797 * [backup-simplify]: Simplify (+ 1 0) into 1 9.797 * [backup-simplify]: Simplify (sqrt 1) into 1 9.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.798 * [backup-simplify]: Simplify (+ 0 0) into 0 9.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.799 * [backup-simplify]: Simplify (+ 0 1) into 1 9.799 * [backup-simplify]: Simplify (/ 1 1) into 1 9.800 * [backup-simplify]: Simplify (sqrt 0) into 0 9.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.800 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 9.800 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.800 * [taylor]: Taking taylor expansion of 2.0 in im 9.800 * [backup-simplify]: Simplify 2.0 into 2.0 9.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.801 * [taylor]: Taking taylor expansion of im in im 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.802 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 9.802 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 9.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 9.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.802 * [taylor]: Taking taylor expansion of re in im 9.802 * [backup-simplify]: Simplify re into re 9.802 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.802 * [taylor]: Taking taylor expansion of im in im 9.802 * [backup-simplify]: Simplify 0 into 0 9.802 * [backup-simplify]: Simplify 1 into 1 9.802 * [backup-simplify]: Simplify (* 1 1) into 1 9.802 * [backup-simplify]: Simplify (/ 1 1) into 1 9.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.803 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.803 * [taylor]: Taking taylor expansion of re in im 9.803 * [backup-simplify]: Simplify re into re 9.803 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.803 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.803 * [backup-simplify]: Simplify (+ 1 0) into 1 9.803 * [backup-simplify]: Simplify (sqrt 1) into 1 9.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.804 * [backup-simplify]: Simplify (+ 0 0) into 0 9.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.805 * [backup-simplify]: Simplify (+ 0 1) into 1 9.805 * [backup-simplify]: Simplify (/ 1 1) into 1 9.806 * [backup-simplify]: Simplify (sqrt 0) into 0 9.806 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.807 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.807 * [taylor]: Taking taylor expansion of 0 in re 9.807 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.809 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.809 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 9.809 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.809 * [taylor]: Taking taylor expansion of +nan.0 in re 9.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.809 * [taylor]: Taking taylor expansion of 2.0 in re 9.809 * [backup-simplify]: Simplify 2.0 into 2.0 9.809 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.810 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.811 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.812 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.812 * [backup-simplify]: Simplify 0 into 0 9.812 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 9.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 9.813 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 9.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.815 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 9.815 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 9.815 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 9.815 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.816 * [taylor]: Taking taylor expansion of +nan.0 in re 9.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.816 * [taylor]: Taking taylor expansion of 2.0 in re 9.816 * [backup-simplify]: Simplify 2.0 into 2.0 9.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.816 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 9.816 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.816 * [taylor]: Taking taylor expansion of +nan.0 in re 9.817 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.817 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.817 * [taylor]: Taking taylor expansion of 2.0 in re 9.817 * [backup-simplify]: Simplify 2.0 into 2.0 9.817 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.817 * [taylor]: Taking taylor expansion of re in re 9.817 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify 1 into 1 9.818 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.819 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.820 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.820 * [backup-simplify]: Simplify (- 0) into 0 9.821 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.822 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.823 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.824 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.824 * [backup-simplify]: Simplify (- 0) into 0 9.824 * [backup-simplify]: Simplify 0 into 0 9.824 * [backup-simplify]: Simplify 0 into 0 9.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.825 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 9.826 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.826 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 9.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.827 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 9.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 9.830 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 9.831 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 9.831 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.831 * [taylor]: Taking taylor expansion of +nan.0 in re 9.831 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.831 * [taylor]: Taking taylor expansion of 2.0 in re 9.831 * [backup-simplify]: Simplify 2.0 into 2.0 9.831 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.831 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 9.831 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 9.831 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 9.832 * [taylor]: Taking taylor expansion of +nan.0 in re 9.832 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.832 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 9.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.832 * [taylor]: Taking taylor expansion of 2.0 in re 9.832 * [backup-simplify]: Simplify 2.0 into 2.0 9.832 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.833 * [taylor]: Taking taylor expansion of re in re 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [backup-simplify]: Simplify (* 1 1) into 1 9.834 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 9.834 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.834 * [taylor]: Taking taylor expansion of +nan.0 in re 9.834 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.834 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.834 * [taylor]: Taking taylor expansion of 2.0 in re 9.834 * [backup-simplify]: Simplify 2.0 into 2.0 9.835 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.836 * [taylor]: Taking taylor expansion of re in re 9.836 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify 1 into 1 9.837 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.838 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.844 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.846 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.847 * [backup-simplify]: Simplify (- 0) into 0 9.847 * [backup-simplify]: Simplify (+ 0 0) into 0 9.847 * [backup-simplify]: Simplify (- 0) into 0 9.849 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.851 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.853 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.867 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 9.868 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 9.868 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 9.868 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 9.868 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 9.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.868 * [taylor]: Taking taylor expansion of 2.0 in re 9.868 * [backup-simplify]: Simplify 2.0 into 2.0 9.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.869 * [taylor]: Taking taylor expansion of im in re 9.869 * [backup-simplify]: Simplify im into im 9.870 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 9.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 9.870 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 9.870 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 9.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.870 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.870 * [taylor]: Taking taylor expansion of im in re 9.870 * [backup-simplify]: Simplify im into im 9.870 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.870 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.871 * [taylor]: Taking taylor expansion of re in re 9.871 * [backup-simplify]: Simplify 0 into 0 9.871 * [backup-simplify]: Simplify 1 into 1 9.871 * [backup-simplify]: Simplify (* 1 1) into 1 9.871 * [backup-simplify]: Simplify (/ 1 1) into 1 9.872 * [backup-simplify]: Simplify (+ 0 1) into 1 9.872 * [backup-simplify]: Simplify (sqrt 1) into 1 9.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.874 * [backup-simplify]: Simplify (+ 0 0) into 0 9.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.875 * [taylor]: Taking taylor expansion of re in re 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify 1 into 1 9.875 * [backup-simplify]: Simplify (/ 1 1) into 1 9.876 * [backup-simplify]: Simplify (- 1) into -1 9.876 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.877 * [backup-simplify]: Simplify (- 0) into 0 9.878 * [backup-simplify]: Simplify (+ 0 0) into 0 9.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.880 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.881 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.883 * [backup-simplify]: Simplify (- 0) into 0 9.883 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.883 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 9.883 * [backup-simplify]: Simplify (sqrt 0) into 0 9.884 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 9.884 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 9.884 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.884 * [taylor]: Taking taylor expansion of 2.0 in im 9.884 * [backup-simplify]: Simplify 2.0 into 2.0 9.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.886 * [taylor]: Taking taylor expansion of im in im 9.886 * [backup-simplify]: Simplify 0 into 0 9.886 * [backup-simplify]: Simplify 1 into 1 9.887 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 9.887 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 9.887 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 9.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.887 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.887 * [taylor]: Taking taylor expansion of im in im 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify 1 into 1 9.887 * [backup-simplify]: Simplify (* 1 1) into 1 9.888 * [backup-simplify]: Simplify (/ 1 1) into 1 9.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.888 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.888 * [taylor]: Taking taylor expansion of re in im 9.888 * [backup-simplify]: Simplify re into re 9.888 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.888 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.888 * [backup-simplify]: Simplify (+ 1 0) into 1 9.889 * [backup-simplify]: Simplify (sqrt 1) into 1 9.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.891 * [backup-simplify]: Simplify (+ 0 0) into 0 9.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.891 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.892 * [taylor]: Taking taylor expansion of re in im 9.892 * [backup-simplify]: Simplify re into re 9.892 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.892 * [backup-simplify]: Simplify (+ 1 0) into 1 9.893 * [backup-simplify]: Simplify (/ 1 1) into 1 9.893 * [backup-simplify]: Simplify (sqrt 0) into 0 9.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.895 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 9.895 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.895 * [taylor]: Taking taylor expansion of 2.0 in im 9.895 * [backup-simplify]: Simplify 2.0 into 2.0 9.895 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.896 * [taylor]: Taking taylor expansion of im in im 9.896 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify 1 into 1 9.897 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.897 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 9.897 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 9.897 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 9.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.897 * [taylor]: Taking taylor expansion of im in im 9.897 * [backup-simplify]: Simplify 0 into 0 9.897 * [backup-simplify]: Simplify 1 into 1 9.898 * [backup-simplify]: Simplify (* 1 1) into 1 9.898 * [backup-simplify]: Simplify (/ 1 1) into 1 9.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.898 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.898 * [taylor]: Taking taylor expansion of re in im 9.898 * [backup-simplify]: Simplify re into re 9.898 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.899 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.899 * [backup-simplify]: Simplify (+ 1 0) into 1 9.899 * [backup-simplify]: Simplify (sqrt 1) into 1 9.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.901 * [backup-simplify]: Simplify (+ 0 0) into 0 9.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.902 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.902 * [taylor]: Taking taylor expansion of re in im 9.902 * [backup-simplify]: Simplify re into re 9.902 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.903 * [backup-simplify]: Simplify (+ 1 0) into 1 9.903 * [backup-simplify]: Simplify (/ 1 1) into 1 9.903 * [backup-simplify]: Simplify (sqrt 0) into 0 9.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.906 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.906 * [taylor]: Taking taylor expansion of 0 in re 9.906 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.909 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 9.909 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.909 * [taylor]: Taking taylor expansion of +nan.0 in re 9.910 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.910 * [taylor]: Taking taylor expansion of 2.0 in re 9.910 * [backup-simplify]: Simplify 2.0 into 2.0 9.910 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.911 * [backup-simplify]: Simplify 0 into 0 9.911 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 9.911 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 9.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 9.913 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 9.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.917 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 9.917 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 9.917 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 9.917 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.917 * [taylor]: Taking taylor expansion of +nan.0 in re 9.917 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.917 * [taylor]: Taking taylor expansion of 2.0 in re 9.917 * [backup-simplify]: Simplify 2.0 into 2.0 9.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.918 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 9.918 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.918 * [taylor]: Taking taylor expansion of +nan.0 in re 9.918 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.918 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.918 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.918 * [taylor]: Taking taylor expansion of 2.0 in re 9.918 * [backup-simplify]: Simplify 2.0 into 2.0 9.919 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.920 * [taylor]: Taking taylor expansion of re in re 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 1 into 1 9.921 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.921 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.922 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.924 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.925 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.926 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.926 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.927 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.928 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.928 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.930 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 9.931 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.931 * [backup-simplify]: Simplify (- 0) into 0 9.931 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 9.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.932 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 9.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.935 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 9.935 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 9.935 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 9.935 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.935 * [taylor]: Taking taylor expansion of +nan.0 in re 9.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.935 * [taylor]: Taking taylor expansion of 2.0 in re 9.935 * [backup-simplify]: Simplify 2.0 into 2.0 9.935 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.935 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 9.935 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 9.935 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 9.936 * [taylor]: Taking taylor expansion of +nan.0 in re 9.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.936 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 9.936 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.936 * [taylor]: Taking taylor expansion of 2.0 in re 9.936 * [backup-simplify]: Simplify 2.0 into 2.0 9.936 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.936 * [taylor]: Taking taylor expansion of re in re 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (* 1 1) into 1 9.937 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.937 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 9.937 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.937 * [taylor]: Taking taylor expansion of +nan.0 in re 9.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.937 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.937 * [taylor]: Taking taylor expansion of 2.0 in re 9.937 * [backup-simplify]: Simplify 2.0 into 2.0 9.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.938 * [taylor]: Taking taylor expansion of re in re 9.938 * [backup-simplify]: Simplify 0 into 0 9.938 * [backup-simplify]: Simplify 1 into 1 9.939 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.941 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.942 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.943 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.944 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.946 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.947 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.948 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.951 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 9.952 * * * [progress]: simplifying candidates 9.953 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im im)))) (exp (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im)))) (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (sqrt 2.0) (sqrt (* im im)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (sqrt (* 2.0 (* im im)))) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) 1) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 1) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) 1) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) im re (* -1 re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* -1 (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 9.957 * * [simplify]: Extracting # 0 : cost 0 9.957 * * [simplify]: Extracting # 1 : cost 0 9.957 * * [simplify]: Extracting # 2 : cost 0 9.957 * * [simplify]: Extracting # 3 : cost 0 9.957 * * [simplify]: Extracting # 4 : cost 0 9.957 * * [simplify]: Extracting # 5 : cost 0 9.958 * * [simplify]: Extracting # 6 : cost 0 9.958 * * [simplify]: Extracting # 7 : cost 0 9.958 * * [simplify]: Extracting # 8 : cost 0 9.958 * * [simplify]: Extracting # 9 : cost 0 9.959 * * [simplify]: Extracting # 10 : cost 0 9.959 * * [simplify]: Extracting # 11 : cost 0 9.959 * * [simplify]: Extracting # 12 : cost 0 9.959 * * [simplify]: Extracting # 13 : cost 0 9.959 * * [simplify]: iteration 0 : 181 enodes (cost 2231 ) 10.016 * * [simplify]: Extracting # 0 : cost 0 10.017 * * [simplify]: Extracting # 1 : cost 0 10.017 * * [simplify]: Extracting # 2 : cost 0 10.017 * * [simplify]: Extracting # 3 : cost 0 10.018 * * [simplify]: Extracting # 4 : cost 0 10.018 * * [simplify]: iteration 1 : 387 enodes (cost 1998 ) 10.164 * * [simplify]: Extracting # 0 : cost 0 10.172 * * [simplify]: Extracting # 1 : cost 0 10.175 * * [simplify]: Extracting # 2 : cost 0 10.178 * * [simplify]: Extracting # 3 : cost 0 10.180 * * [simplify]: Extracting # 4 : cost 0 10.183 * * [simplify]: iteration 2 : 1067 enodes (cost 1907 ) 10.984 * * [simplify]: Extracting # 0 : cost 0 10.988 * * [simplify]: Extracting # 1 : cost 0 10.991 * * [simplify]: Extracting # 2 : cost 0 10.995 * * [simplify]: Extracting # 3 : cost 0 10.999 * * [simplify]: Extracting # 4 : cost 0 11.003 * * [simplify]: iteration 3 : 3181 enodes (cost 1877 ) 12.598 * * [simplify]: Extracting # 0 : cost 0 12.610 * * [simplify]: Extracting # 1 : cost 0 12.621 * * [simplify]: Extracting # 2 : cost 0 12.631 * * [simplify]: Extracting # 3 : cost 0 12.642 * * [simplify]: Extracting # 4 : cost 0 12.659 * * [simplify]: iteration done: 5000 enodes (cost 1871 ) 12.661 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im im)))) (exp (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im)))) (pow (sqrt (* 2.0 (* im im))) 3) (sqrt 2.0) (fabs im) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (pow im 2) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (/ (* 2.0 im) (+ (sqrt (+ (* re re) (* im im))) re)) im) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (sqrt (* 2.0 (* im im)))) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (/ (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (* 2.0 (* im im)))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (* im im))) (fabs im)) im re (- re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (- (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (- (+ (* (* (* +nan.0 (sqrt 2.0)) (sqrt 1/2)) (- (* im re) im)) (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0)))) (* +nan.0 (+ (- (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- re (/ re im))))) 12.663 * * * [progress]: adding candidates to table 13.073 * [progress]: [Phase 3 of 3] Extracting. 13.074 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 13.077 * * * [regime-changes]: Trying 6 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))) im re) 13.078 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 13.144 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 13.196 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # #) 13.317 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # #) 13.428 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # # #) 13.573 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 13.732 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 13.825 * * * [regime]: Found split indices: #