1.031 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.199 * * * [progress]: [2/2] Setting up program. 0.207 * [progress]: [Phase 2 of 3] Improving. 0.208 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.213 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.214 * * [simplify]: iteration 0: 12 enodes 0.223 * * [simplify]: iteration 1: 17 enodes 0.229 * * [simplify]: iteration 2: 24 enodes 0.236 * * [simplify]: iteration 3: 30 enodes 0.245 * * [simplify]: iteration 4: 35 enodes 0.252 * * [simplify]: iteration complete: 35 enodes 0.252 * * [simplify]: Extracting #0: cost 1 inf + 0 0.253 * * [simplify]: Extracting #1: cost 3 inf + 0 0.253 * * [simplify]: Extracting #2: cost 3 inf + 1 0.253 * * [simplify]: Extracting #3: cost 8 inf + 1 0.253 * * [simplify]: Extracting #4: cost 11 inf + 2 0.253 * * [simplify]: Extracting #5: cost 7 inf + 209 0.253 * * [simplify]: Extracting #6: cost 9 inf + 209 0.253 * * [simplify]: Extracting #7: cost 9 inf + 250 0.253 * * [simplify]: Extracting #8: cost 7 inf + 292 0.254 * * [simplify]: Extracting #9: cost 5 inf + 576 0.254 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.254 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.255 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.256 * * [progress]: iteration 1 / 4 0.257 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.297 * * * [progress]: generating rewritten candidates 0.298 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.306 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.361 * * * [progress]: generating series expansions 0.361 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.368 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.368 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.369 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.370 * [taylor]: Taking taylor expansion of im in im 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.370 * [taylor]: Taking taylor expansion of re in im 0.370 * [backup-simplify]: Simplify re into re 0.372 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.372 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.373 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.373 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.374 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.374 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.374 * [taylor]: Taking taylor expansion of im in re 0.374 * [backup-simplify]: Simplify im into im 0.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.374 * [taylor]: Taking taylor expansion of re in re 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.374 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.375 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.375 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.375 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.376 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [taylor]: Taking taylor expansion of 0 in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (+ 0 1) into 1 0.380 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.380 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.380 * [taylor]: Taking taylor expansion of 1/2 in im 0.380 * [backup-simplify]: Simplify 1/2 into 1/2 0.380 * [taylor]: Taking taylor expansion of im in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.386 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.386 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.386 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.386 * [taylor]: Taking taylor expansion of re in im 0.386 * [backup-simplify]: Simplify re into re 0.387 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.387 * [taylor]: Taking taylor expansion of im in im 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [backup-simplify]: Simplify (+ 0 1) into 1 0.389 * [backup-simplify]: Simplify (sqrt 1) into 1 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.392 * [taylor]: Taking taylor expansion of im in re 0.392 * [backup-simplify]: Simplify im into im 0.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.406 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.406 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.406 * [taylor]: Taking taylor expansion of im in re 0.406 * [backup-simplify]: Simplify im into im 0.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.407 * [backup-simplify]: Simplify (+ 1 0) into 1 0.407 * [backup-simplify]: Simplify (sqrt 1) into 1 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.409 * [taylor]: Taking taylor expansion of 1 in im 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of 0 in im 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.411 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.411 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.411 * [taylor]: Taking taylor expansion of 1/2 in im 0.411 * [backup-simplify]: Simplify 1/2 into 1/2 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.415 * [taylor]: Taking taylor expansion of 0 in im 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.416 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.416 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.416 * [taylor]: Taking taylor expansion of re in im 0.416 * [backup-simplify]: Simplify re into re 0.417 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.417 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.417 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.417 * [taylor]: Taking taylor expansion of im in im 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.418 * [backup-simplify]: Simplify (sqrt 1) into 1 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [backup-simplify]: Simplify im into im 0.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.420 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (sqrt 1) into 1 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.423 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.423 * [taylor]: Taking taylor expansion of im in re 0.423 * [backup-simplify]: Simplify im into im 0.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.423 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (sqrt 1) into 1 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.425 * [taylor]: Taking taylor expansion of 1 in im 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.427 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.427 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.428 * [taylor]: Taking taylor expansion of 1/2 in im 0.428 * [backup-simplify]: Simplify 1/2 into 1/2 0.428 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.433 * [taylor]: Taking taylor expansion of 0 in im 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.435 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.436 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.436 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.436 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.436 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.436 * [taylor]: Taking taylor expansion of im in im 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.436 * [taylor]: Taking taylor expansion of re in im 0.436 * [backup-simplify]: Simplify re into re 0.436 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.436 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.436 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.436 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.437 * [taylor]: Taking taylor expansion of re in im 0.437 * [backup-simplify]: Simplify re into re 0.437 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.437 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.437 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.437 * [taylor]: Taking taylor expansion of im in re 0.437 * [backup-simplify]: Simplify im into im 0.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.437 * [taylor]: Taking taylor expansion of re in re 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.437 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.437 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.438 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.438 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.438 * [taylor]: Taking taylor expansion of im in re 0.438 * [backup-simplify]: Simplify im into im 0.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.439 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.439 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.439 * [taylor]: Taking taylor expansion of re in re 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ im 0) into im 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (- 1) into -1 0.441 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.441 * [taylor]: Taking taylor expansion of -1 in im 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.444 * [taylor]: Taking taylor expansion of 1/2 in im 0.444 * [backup-simplify]: Simplify 1/2 into 1/2 0.444 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.444 * [taylor]: Taking taylor expansion of im in im 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [taylor]: Taking taylor expansion of 0 in im 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.452 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.452 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.452 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.452 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.452 * [taylor]: Taking taylor expansion of re in im 0.452 * [backup-simplify]: Simplify re into re 0.452 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.452 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.453 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.453 * [taylor]: Taking taylor expansion of im in im 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ 0 1) into 1 0.454 * [backup-simplify]: Simplify (sqrt 1) into 1 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.488 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.488 * [taylor]: Taking taylor expansion of re in im 0.489 * [backup-simplify]: Simplify re into re 0.489 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.489 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 0.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (sqrt 1) into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.497 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [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 im 2)) in re 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [backup-simplify]: Simplify im into im 0.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 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 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.504 * [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 0.506 * [backup-simplify]: Simplify (- 1) into -1 0.507 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.515 * [taylor]: Taking taylor expansion of 1/2 in im 0.515 * [backup-simplify]: Simplify 1/2 into 1/2 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.566 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.566 * [taylor]: Taking taylor expansion of re in im 0.566 * [backup-simplify]: Simplify re into re 0.566 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.566 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.566 * [taylor]: Taking taylor expansion of re in im 0.566 * [backup-simplify]: Simplify re into re 0.566 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.566 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [backup-simplify]: Simplify (+ 0 1) into 1 0.570 * [backup-simplify]: Simplify (sqrt 1) into 1 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.575 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.576 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.576 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.576 * [taylor]: Taking taylor expansion of im in re 0.576 * [backup-simplify]: Simplify im into im 0.577 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.577 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.577 * [backup-simplify]: Simplify (+ 1 0) into 1 0.578 * [backup-simplify]: Simplify (sqrt 1) into 1 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.581 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.581 * [taylor]: Taking taylor expansion of re in re 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.581 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.581 * [taylor]: Taking taylor expansion of re in re 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.582 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.582 * [taylor]: Taking taylor expansion of im in re 0.582 * [backup-simplify]: Simplify im into im 0.582 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.582 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [backup-simplify]: Simplify (sqrt 1) into 1 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.588 * [backup-simplify]: Simplify (+ 1 1) into 2 0.589 * [taylor]: Taking taylor expansion of 2 in im 0.589 * [backup-simplify]: Simplify 2 into 2 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [taylor]: Taking taylor expansion of 0 in im 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 2 into 2 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.661 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.662 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.662 * [taylor]: Taking taylor expansion of 1/2 in im 0.662 * [backup-simplify]: Simplify 1/2 into 1/2 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.662 * [taylor]: Taking taylor expansion of im in im 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.680 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [taylor]: Taking taylor expansion of 0 in im 0.680 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.686 * * * [progress]: simplifying candidates 0.686 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 0.686 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 0.686 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 0.686 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 0.686 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 0.686 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 0.687 * * * * [progress]: [ 16 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.687 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 19 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 0.688 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 31 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 32 / 38 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 0.689 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 0.689 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 0.690 * [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)))) (real->posit16 (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) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) im re (* -1 re) (- im re) 0 (* -2 re) 0.692 * * [simplify]: iteration 0: 66 enodes 0.766 * * [simplify]: iteration 1: 139 enodes 0.870 * * [simplify]: iteration 2: 328 enodes 0.991 * * [simplify]: iteration 3: 761 enodes 1.374 * * [simplify]: iteration 4: 1983 enodes 1.802 * * [simplify]: iteration complete: 2000 enodes 1.802 * * [simplify]: Extracting #0: cost 36 inf + 0 1.803 * * [simplify]: Extracting #1: cost 114 inf + 88 1.804 * * [simplify]: Extracting #2: cost 249 inf + 1209 1.806 * * [simplify]: Extracting #3: cost 367 inf + 9211 1.815 * * [simplify]: Extracting #4: cost 224 inf + 52845 1.838 * * [simplify]: Extracting #5: cost 26 inf + 108817 1.872 * * [simplify]: Extracting #6: cost 0 inf + 117423 1.912 * [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)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im)))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))) (+ (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) im re (- re) (- im re) 0 (* -2 re) 1.918 * * * [progress]: adding candidates to table 2.135 * * [progress]: iteration 2 / 4 2.135 * * * [progress]: picking best candidate 2.157 * * * * [pick]: Picked # 2.157 * * * [progress]: localizing error 2.210 * * * [progress]: generating rewritten candidates 2.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 2.235 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 2.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 2.370 * * * [progress]: generating series expansions 2.370 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.370 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.370 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.370 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.370 * [taylor]: Taking taylor expansion of im in im 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.370 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.370 * [taylor]: Taking taylor expansion of re in im 2.370 * [backup-simplify]: Simplify re into re 2.370 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.370 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.370 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.370 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.371 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.371 * [taylor]: Taking taylor expansion of im in re 2.371 * [backup-simplify]: Simplify im into im 2.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.371 * [taylor]: Taking taylor expansion of re in re 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.371 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.371 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.372 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.372 * [taylor]: Taking taylor expansion of im in re 2.372 * [backup-simplify]: Simplify im into im 2.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.372 * [taylor]: Taking taylor expansion of re in re 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.372 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.372 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.372 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.372 * [taylor]: Taking taylor expansion of im in im 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [taylor]: Taking taylor expansion of 0 in im 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.373 * [backup-simplify]: Simplify (+ 0 1) into 1 2.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.374 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.374 * [taylor]: Taking taylor expansion of 1/2 in im 2.374 * [backup-simplify]: Simplify 1/2 into 1/2 2.374 * [taylor]: Taking taylor expansion of im in im 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.376 * [taylor]: Taking taylor expansion of 0 in im 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.377 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.377 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.377 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.377 * [taylor]: Taking taylor expansion of re in im 2.377 * [backup-simplify]: Simplify re into re 2.377 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.377 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.377 * [taylor]: Taking taylor expansion of im in im 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (* 1 1) into 1 2.378 * [backup-simplify]: Simplify (/ 1 1) into 1 2.378 * [backup-simplify]: Simplify (+ 0 1) into 1 2.378 * [backup-simplify]: Simplify (sqrt 1) into 1 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.380 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.380 * [taylor]: Taking taylor expansion of re in re 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (* 1 1) into 1 2.380 * [backup-simplify]: Simplify (/ 1 1) into 1 2.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.380 * [taylor]: Taking taylor expansion of im in re 2.380 * [backup-simplify]: Simplify im into im 2.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.381 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.381 * [backup-simplify]: Simplify (+ 1 0) into 1 2.381 * [backup-simplify]: Simplify (sqrt 1) into 1 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.383 * [taylor]: Taking taylor expansion of re in re 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (* 1 1) into 1 2.383 * [backup-simplify]: Simplify (/ 1 1) into 1 2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.383 * [taylor]: Taking taylor expansion of im in re 2.383 * [backup-simplify]: Simplify im into im 2.383 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.384 * [backup-simplify]: Simplify (+ 1 0) into 1 2.384 * [backup-simplify]: Simplify (sqrt 1) into 1 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (+ 0 0) into 0 2.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.386 * [taylor]: Taking taylor expansion of 1 in im 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [taylor]: Taking taylor expansion of 0 in im 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.388 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.388 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.388 * [taylor]: Taking taylor expansion of 1/2 in im 2.388 * [backup-simplify]: Simplify 1/2 into 1/2 2.388 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.388 * [taylor]: Taking taylor expansion of im in im 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (* 1 1) into 1 2.388 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.391 * [taylor]: Taking taylor expansion of 0 in im 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.393 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.393 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.393 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.393 * [taylor]: Taking taylor expansion of re in im 2.393 * [backup-simplify]: Simplify re into re 2.393 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.393 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.393 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.393 * [taylor]: Taking taylor expansion of im in im 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (* 1 1) into 1 2.394 * [backup-simplify]: Simplify (/ 1 1) into 1 2.394 * [backup-simplify]: Simplify (+ 0 1) into 1 2.395 * [backup-simplify]: Simplify (sqrt 1) into 1 2.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.398 * [taylor]: Taking taylor expansion of re in re 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (* 1 1) into 1 2.398 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.398 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.398 * [taylor]: Taking taylor expansion of im in re 2.399 * [backup-simplify]: Simplify im into im 2.399 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.399 * [backup-simplify]: Simplify (+ 1 0) into 1 2.400 * [backup-simplify]: Simplify (sqrt 1) into 1 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.402 * [taylor]: Taking taylor expansion of re in re 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (* 1 1) into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.403 * [taylor]: Taking taylor expansion of im in re 2.404 * [backup-simplify]: Simplify im into im 2.404 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.405 * [backup-simplify]: Simplify (sqrt 1) into 1 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ 0 0) into 0 2.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.408 * [taylor]: Taking taylor expansion of 1 in im 2.408 * [backup-simplify]: Simplify 1 into 1 2.408 * [taylor]: Taking taylor expansion of 0 in im 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.411 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.411 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.411 * [taylor]: Taking taylor expansion of 1/2 in im 2.411 * [backup-simplify]: Simplify 1/2 into 1/2 2.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.411 * [taylor]: Taking taylor expansion of im in im 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 1 into 1 2.412 * [backup-simplify]: Simplify (* 1 1) into 1 2.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.417 * [taylor]: Taking taylor expansion of 0 in im 2.417 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.421 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 2.421 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.421 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.421 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.421 * [taylor]: Taking taylor expansion of im in im 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.421 * [taylor]: Taking taylor expansion of re in im 2.421 * [backup-simplify]: Simplify re into re 2.421 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.422 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.422 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.422 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.422 * [backup-simplify]: Simplify (+ 0 0) into 0 2.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.422 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.423 * [taylor]: Taking taylor expansion of im in re 2.423 * [backup-simplify]: Simplify im into im 2.423 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.423 * [taylor]: Taking taylor expansion of re in re 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.423 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.423 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.423 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.423 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.424 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.424 * [taylor]: Taking taylor expansion of im in re 2.424 * [backup-simplify]: Simplify im into im 2.424 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.424 * [taylor]: Taking taylor expansion of re in re 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.424 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.424 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.424 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.425 * [taylor]: Taking taylor expansion of im in im 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [taylor]: Taking taylor expansion of 0 in im 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.426 * [backup-simplify]: Simplify (* 1 1) into 1 2.426 * [backup-simplify]: Simplify (+ 0 1) into 1 2.427 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.427 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.427 * [taylor]: Taking taylor expansion of 1/2 in im 2.427 * [backup-simplify]: Simplify 1/2 into 1/2 2.427 * [taylor]: Taking taylor expansion of im in im 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.431 * [taylor]: Taking taylor expansion of 0 in im 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.432 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.432 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.432 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.432 * [taylor]: Taking taylor expansion of re in im 2.433 * [backup-simplify]: Simplify re into re 2.433 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.433 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.433 * [taylor]: Taking taylor expansion of im in im 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (* 1 1) into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [backup-simplify]: Simplify (+ 0 1) into 1 2.434 * [backup-simplify]: Simplify (sqrt 1) into 1 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.437 * [taylor]: Taking taylor expansion of re in re 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (* 1 1) into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.438 * [taylor]: Taking taylor expansion of im in re 2.438 * [backup-simplify]: Simplify im into im 2.438 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.438 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.438 * [backup-simplify]: Simplify (+ 1 0) into 1 2.439 * [backup-simplify]: Simplify (sqrt 1) into 1 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ 0 0) into 0 2.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.441 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.441 * [taylor]: Taking taylor expansion of re in re 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (* 1 1) into 1 2.442 * [backup-simplify]: Simplify (/ 1 1) into 1 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.442 * [taylor]: Taking taylor expansion of im in re 2.442 * [backup-simplify]: Simplify im into im 2.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.443 * [backup-simplify]: Simplify (+ 1 0) into 1 2.443 * [backup-simplify]: Simplify (sqrt 1) into 1 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.446 * [taylor]: Taking taylor expansion of 1 in im 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [taylor]: Taking taylor expansion of 0 in im 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.449 * [taylor]: Taking taylor expansion of 1/2 in im 2.449 * [backup-simplify]: Simplify 1/2 into 1/2 2.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.449 * [taylor]: Taking taylor expansion of im in im 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.456 * [taylor]: Taking taylor expansion of 0 in im 2.456 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.458 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.458 * [taylor]: Taking taylor expansion of re in im 2.458 * [backup-simplify]: Simplify re into re 2.458 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.458 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.458 * [taylor]: Taking taylor expansion of im in im 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.459 * [backup-simplify]: Simplify (* 1 1) into 1 2.459 * [backup-simplify]: Simplify (/ 1 1) into 1 2.459 * [backup-simplify]: Simplify (+ 0 1) into 1 2.459 * [backup-simplify]: Simplify (sqrt 1) into 1 2.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.461 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.461 * [taylor]: Taking taylor expansion of re in re 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (* 1 1) into 1 2.461 * [backup-simplify]: Simplify (/ 1 1) into 1 2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.462 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.462 * [taylor]: Taking taylor expansion of im in re 2.462 * [backup-simplify]: Simplify im into im 2.462 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.462 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.463 * [backup-simplify]: Simplify (+ 1 0) into 1 2.464 * [backup-simplify]: Simplify (sqrt 1) into 1 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.465 * [taylor]: Taking taylor expansion of re in re 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (/ 1 1) into 1 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.466 * [taylor]: Taking taylor expansion of im in re 2.466 * [backup-simplify]: Simplify im into im 2.466 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.466 * [backup-simplify]: Simplify (+ 1 0) into 1 2.466 * [backup-simplify]: Simplify (sqrt 1) into 1 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.468 * [taylor]: Taking taylor expansion of 1 in im 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [taylor]: Taking taylor expansion of 0 in im 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.470 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.470 * [taylor]: Taking taylor expansion of 1/2 in im 2.470 * [backup-simplify]: Simplify 1/2 into 1/2 2.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.470 * [taylor]: Taking taylor expansion of im in im 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (* 1 1) into 1 2.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.474 * [taylor]: Taking taylor expansion of 0 in im 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.475 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 2.475 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.475 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.475 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.475 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.475 * [taylor]: Taking taylor expansion of im in im 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.476 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.476 * [taylor]: Taking taylor expansion of re in im 2.476 * [backup-simplify]: Simplify re into re 2.476 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.476 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.476 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.476 * [backup-simplify]: Simplify (+ 0 0) into 0 2.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.476 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.476 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.476 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.476 * [taylor]: Taking taylor expansion of im in re 2.476 * [backup-simplify]: Simplify im into im 2.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.476 * [taylor]: Taking taylor expansion of re in re 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.476 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.476 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.476 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.477 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.477 * [taylor]: Taking taylor expansion of im in re 2.477 * [backup-simplify]: Simplify im into im 2.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.477 * [taylor]: Taking taylor expansion of re in re 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.477 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.477 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.477 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.477 * [taylor]: Taking taylor expansion of im in im 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [taylor]: Taking taylor expansion of 0 in im 2.477 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.478 * [backup-simplify]: Simplify (* 1 1) into 1 2.479 * [backup-simplify]: Simplify (+ 0 1) into 1 2.479 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.479 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.479 * [taylor]: Taking taylor expansion of 1/2 in im 2.479 * [backup-simplify]: Simplify 1/2 into 1/2 2.479 * [taylor]: Taking taylor expansion of im in im 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.481 * [taylor]: Taking taylor expansion of 0 in im 2.481 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.483 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.483 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.483 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.483 * [taylor]: Taking taylor expansion of re in im 2.483 * [backup-simplify]: Simplify re into re 2.483 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.483 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.483 * [taylor]: Taking taylor expansion of im in im 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (/ 1 1) into 1 2.484 * [backup-simplify]: Simplify (+ 0 1) into 1 2.484 * [backup-simplify]: Simplify (sqrt 1) into 1 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.485 * [taylor]: Taking taylor expansion of re in re 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (* 1 1) into 1 2.486 * [backup-simplify]: Simplify (/ 1 1) into 1 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.486 * [taylor]: Taking taylor expansion of im in re 2.486 * [backup-simplify]: Simplify im into im 2.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.487 * [backup-simplify]: Simplify (+ 1 0) into 1 2.487 * [backup-simplify]: Simplify (sqrt 1) into 1 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.490 * [taylor]: Taking taylor expansion of re in re 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (* 1 1) into 1 2.491 * [backup-simplify]: Simplify (/ 1 1) into 1 2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.491 * [taylor]: Taking taylor expansion of im in re 2.491 * [backup-simplify]: Simplify im into im 2.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.492 * [backup-simplify]: Simplify (+ 1 0) into 1 2.492 * [backup-simplify]: Simplify (sqrt 1) into 1 2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.495 * [taylor]: Taking taylor expansion of 1 in im 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [taylor]: Taking taylor expansion of 0 in im 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.498 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.498 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.498 * [taylor]: Taking taylor expansion of 1/2 in im 2.498 * [backup-simplify]: Simplify 1/2 into 1/2 2.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.498 * [taylor]: Taking taylor expansion of im in im 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (* 1 1) into 1 2.499 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.504 * [taylor]: Taking taylor expansion of 0 in im 2.504 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.507 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.507 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.507 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.507 * [taylor]: Taking taylor expansion of re in im 2.507 * [backup-simplify]: Simplify re into re 2.507 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.507 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.507 * [taylor]: Taking taylor expansion of im in im 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (* 1 1) into 1 2.508 * [backup-simplify]: Simplify (/ 1 1) into 1 2.508 * [backup-simplify]: Simplify (+ 0 1) into 1 2.509 * [backup-simplify]: Simplify (sqrt 1) into 1 2.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.511 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.511 * [taylor]: Taking taylor expansion of re in re 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (* 1 1) into 1 2.512 * [backup-simplify]: Simplify (/ 1 1) into 1 2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.512 * [taylor]: Taking taylor expansion of im in re 2.512 * [backup-simplify]: Simplify im into im 2.512 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.512 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.513 * [backup-simplify]: Simplify (+ 1 0) into 1 2.513 * [backup-simplify]: Simplify (sqrt 1) into 1 2.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.516 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.516 * [taylor]: Taking taylor expansion of re in re 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (* 1 1) into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.517 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.517 * [taylor]: Taking taylor expansion of im in re 2.517 * [backup-simplify]: Simplify im into im 2.517 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.517 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.518 * [backup-simplify]: Simplify (+ 1 0) into 1 2.518 * [backup-simplify]: Simplify (sqrt 1) into 1 2.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.521 * [taylor]: Taking taylor expansion of 1 in im 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [taylor]: Taking taylor expansion of 0 in im 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.525 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.525 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.525 * [taylor]: Taking taylor expansion of 1/2 in im 2.525 * [backup-simplify]: Simplify 1/2 into 1/2 2.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.525 * [taylor]: Taking taylor expansion of im in im 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [backup-simplify]: Simplify (* 1 1) into 1 2.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.531 * [taylor]: Taking taylor expansion of 0 in im 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.535 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 2.535 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 2.535 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.535 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.535 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.535 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.535 * [taylor]: Taking taylor expansion of im in im 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.535 * [taylor]: Taking taylor expansion of re in im 2.535 * [backup-simplify]: Simplify re into re 2.535 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.535 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.535 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.535 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.536 * [taylor]: Taking taylor expansion of re in im 2.536 * [backup-simplify]: Simplify re into re 2.536 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.536 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.536 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.536 * [taylor]: Taking taylor expansion of im in re 2.536 * [backup-simplify]: Simplify im into im 2.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.536 * [taylor]: Taking taylor expansion of re in re 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.536 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.536 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.537 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.537 * [taylor]: Taking taylor expansion of re in re 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.537 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.537 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.537 * [taylor]: Taking taylor expansion of im in re 2.537 * [backup-simplify]: Simplify im into im 2.537 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.537 * [taylor]: Taking taylor expansion of re in re 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.538 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.538 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.538 * [taylor]: Taking taylor expansion of re in re 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 1 into 1 2.539 * [backup-simplify]: Simplify (- 0) into 0 2.539 * [backup-simplify]: Simplify (+ im 0) into im 2.539 * [taylor]: Taking taylor expansion of im in im 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 1 into 1 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (- 1) into -1 2.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.540 * [taylor]: Taking taylor expansion of -1 in im 2.540 * [backup-simplify]: Simplify -1 into -1 2.540 * [backup-simplify]: Simplify -1 into -1 2.540 * [backup-simplify]: Simplify 1 into 1 2.541 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.541 * [backup-simplify]: Simplify (* 1 1) into 1 2.541 * [backup-simplify]: Simplify (+ 0 1) into 1 2.542 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.543 * [backup-simplify]: Simplify (- 0) into 0 2.543 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.543 * [taylor]: Taking taylor expansion of 1/2 in im 2.543 * [backup-simplify]: Simplify 1/2 into 1/2 2.543 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.543 * [taylor]: Taking taylor expansion of im in im 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (/ 1 1) into 1 2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.548 * [backup-simplify]: Simplify (- 0) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [taylor]: Taking taylor expansion of 0 in im 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.551 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 2.551 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 2.551 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.552 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.552 * [taylor]: Taking taylor expansion of re in im 2.552 * [backup-simplify]: Simplify re into re 2.552 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.552 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.552 * [taylor]: Taking taylor expansion of im in im 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (* 1 1) into 1 2.553 * [backup-simplify]: Simplify (/ 1 1) into 1 2.553 * [backup-simplify]: Simplify (+ 0 1) into 1 2.554 * [backup-simplify]: Simplify (sqrt 1) into 1 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.556 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.556 * [taylor]: Taking taylor expansion of re in im 2.556 * [backup-simplify]: Simplify re into re 2.556 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.556 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.556 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.556 * [taylor]: Taking taylor expansion of re in re 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.557 * [backup-simplify]: Simplify (/ 1 1) into 1 2.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.557 * [taylor]: Taking taylor expansion of im in re 2.557 * [backup-simplify]: Simplify im into im 2.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.558 * [backup-simplify]: Simplify (+ 1 0) into 1 2.558 * [backup-simplify]: Simplify (sqrt 1) into 1 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify (+ 0 0) into 0 2.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.561 * [taylor]: Taking taylor expansion of re in re 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [backup-simplify]: Simplify (/ 1 1) into 1 2.561 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.562 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.562 * [taylor]: Taking taylor expansion of re in re 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (* 1 1) into 1 2.562 * [backup-simplify]: Simplify (/ 1 1) into 1 2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.562 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.562 * [taylor]: Taking taylor expansion of im in re 2.562 * [backup-simplify]: Simplify im into im 2.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.563 * [backup-simplify]: Simplify (+ 1 0) into 1 2.563 * [backup-simplify]: Simplify (sqrt 1) into 1 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.564 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.564 * [taylor]: Taking taylor expansion of re in re 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [backup-simplify]: Simplify (/ 1 1) into 1 2.565 * [backup-simplify]: Simplify (- 1) into -1 2.565 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.565 * [taylor]: Taking taylor expansion of 0 in im 2.565 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (- 0) into 0 2.566 * [backup-simplify]: Simplify (+ 0 0) into 0 2.566 * [taylor]: Taking taylor expansion of 0 in im 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.568 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (- 0) into 0 2.569 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.569 * [taylor]: Taking taylor expansion of 1/2 in im 2.569 * [backup-simplify]: Simplify 1/2 into 1/2 2.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.569 * [taylor]: Taking taylor expansion of im in im 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (* 1 1) into 1 2.570 * [backup-simplify]: Simplify (/ 1 1) into 1 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (- 0) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [taylor]: Taking taylor expansion of 0 in im 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 2.577 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.577 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.577 * [taylor]: Taking taylor expansion of re in im 2.577 * [backup-simplify]: Simplify re into re 2.577 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.578 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.578 * [taylor]: Taking taylor expansion of re in im 2.578 * [backup-simplify]: Simplify re into re 2.578 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.578 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.578 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.578 * [taylor]: Taking taylor expansion of im in im 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (/ 1 1) into 1 2.579 * [backup-simplify]: Simplify (+ 0 1) into 1 2.579 * [backup-simplify]: Simplify (sqrt 1) into 1 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.580 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.581 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.581 * [taylor]: Taking taylor expansion of re in re 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (/ 1 1) into 1 2.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.581 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.581 * [taylor]: Taking taylor expansion of re in re 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (* 1 1) into 1 2.581 * [backup-simplify]: Simplify (/ 1 1) into 1 2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.581 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.581 * [taylor]: Taking taylor expansion of im in re 2.582 * [backup-simplify]: Simplify im into im 2.582 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.582 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.582 * [backup-simplify]: Simplify (+ 1 0) into 1 2.582 * [backup-simplify]: Simplify (sqrt 1) into 1 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (+ 0 0) into 0 2.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [backup-simplify]: Simplify (/ 1 1) into 1 2.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [backup-simplify]: Simplify (* 1 1) into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.588 * [taylor]: Taking taylor expansion of im in re 2.588 * [backup-simplify]: Simplify im into im 2.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.588 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.589 * [backup-simplify]: Simplify (+ 1 0) into 1 2.589 * [backup-simplify]: Simplify (sqrt 1) into 1 2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.591 * [backup-simplify]: Simplify (+ 1 1) into 2 2.591 * [taylor]: Taking taylor expansion of 2 in im 2.591 * [backup-simplify]: Simplify 2 into 2 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [taylor]: Taking taylor expansion of 0 in im 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 2 into 2 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.594 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.595 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.595 * [taylor]: Taking taylor expansion of 1/2 in im 2.595 * [backup-simplify]: Simplify 1/2 into 1/2 2.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.595 * [taylor]: Taking taylor expansion of im in im 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [backup-simplify]: Simplify (* 1 1) into 1 2.595 * [backup-simplify]: Simplify (/ 1 1) into 1 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.599 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.599 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [taylor]: Taking taylor expansion of 0 in im 2.599 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.601 * * * [progress]: simplifying candidates 2.601 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 2.602 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 2.602 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 2.603 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 2.603 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 2.604 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #real (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))> 2.604 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 2.604 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 2.605 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 2.605 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 2.605 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 2.605 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 2.605 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 2.605 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 2.605 * [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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 2.606 * * [simplify]: iteration 0: 66 enodes 2.624 * * [simplify]: iteration 1: 152 enodes 2.691 * * [simplify]: iteration 2: 340 enodes 2.840 * * [simplify]: iteration 3: 860 enodes 3.090 * * [simplify]: iteration complete: 2001 enodes 3.090 * * [simplify]: Extracting #0: cost 33 inf + 0 3.090 * * [simplify]: Extracting #1: cost 185 inf + 47 3.100 * * [simplify]: Extracting #2: cost 454 inf + 599 3.107 * * [simplify]: Extracting #3: cost 550 inf + 17741 3.140 * * [simplify]: Extracting #4: cost 256 inf + 122747 3.183 * * [simplify]: Extracting #5: cost 58 inf + 206748 3.222 * * [simplify]: Extracting #6: cost 20 inf + 224993 3.272 * * [simplify]: Extracting #7: cost 2 inf + 228689 3.315 * * [simplify]: Extracting #8: cost 0 inf + 229275 3.367 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (+ (* (sqrt (+ (* im im) (* re re))) re) (+ (+ (* im im) (* re re)) (* re re))) (- re) (+ (* im im) 0) (+ (sqrt (+ (* im im) (* re re))) re) (- re) (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 3.376 * * * [progress]: adding candidates to table 3.806 * * [progress]: iteration 3 / 4 3.806 * * * [progress]: picking best candidate 3.829 * * * * [pick]: Picked # 3.830 * * * [progress]: localizing error 3.851 * * * [progress]: generating rewritten candidates 3.851 * * * [progress]: generating series expansions 3.851 * * * [progress]: simplifying candidates 3.851 * [simplify]: Simplifying: 3.851 * * [simplify]: iteration 0: 0 enodes 3.851 * * [simplify]: iteration complete: 0 enodes 3.851 * * [simplify]: Extracting #0: cost 0 inf + 0 3.851 * [simplify]: Simplified to: 3.851 * * * [progress]: adding candidates to table 3.852 * * [progress]: iteration 4 / 4 3.852 * * * [progress]: picking best candidate 3.884 * * * * [pick]: Picked # 3.884 * * * [progress]: localizing error 3.922 * * * [progress]: generating rewritten candidates 3.922 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 3.933 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.979 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 4.031 * * * [progress]: generating series expansions 4.031 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 4.031 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 4.031 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.031 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.031 * [taylor]: Taking taylor expansion of im in im 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.031 * [taylor]: Taking taylor expansion of re in im 4.031 * [backup-simplify]: Simplify re into re 4.031 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.031 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.031 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.031 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.032 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.032 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.032 * [taylor]: Taking taylor expansion of im in re 4.032 * [backup-simplify]: Simplify im into im 4.032 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.032 * [taylor]: Taking taylor expansion of re in re 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.032 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.032 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.032 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.033 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.033 * [taylor]: Taking taylor expansion of im in re 4.033 * [backup-simplify]: Simplify im into im 4.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.033 * [taylor]: Taking taylor expansion of re in re 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.033 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.033 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.033 * [taylor]: Taking taylor expansion of im in im 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [taylor]: Taking taylor expansion of 0 in im 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.034 * [backup-simplify]: Simplify (+ 0 1) into 1 4.035 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.035 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.035 * [taylor]: Taking taylor expansion of 1/2 in im 4.035 * [backup-simplify]: Simplify 1/2 into 1/2 4.035 * [taylor]: Taking taylor expansion of im in im 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.037 * [backup-simplify]: Simplify (+ 0 0) into 0 4.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.037 * [taylor]: Taking taylor expansion of 0 in im 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.038 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.038 * [taylor]: Taking taylor expansion of re in im 4.038 * [backup-simplify]: Simplify re into re 4.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.038 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 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 4.039 * [backup-simplify]: Simplify (* 1 1) into 1 4.039 * [backup-simplify]: Simplify (/ 1 1) into 1 4.039 * [backup-simplify]: Simplify (+ 0 1) into 1 4.039 * [backup-simplify]: Simplify (sqrt 1) into 1 4.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.041 * [taylor]: Taking taylor expansion of re in re 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.041 * [backup-simplify]: Simplify (* 1 1) into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.042 * [taylor]: Taking taylor expansion of im in re 4.042 * [backup-simplify]: Simplify im into im 4.042 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.042 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.042 * [backup-simplify]: Simplify (+ 1 0) into 1 4.042 * [backup-simplify]: Simplify (sqrt 1) into 1 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 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 4.044 * [backup-simplify]: Simplify (/ 1 1) into 1 4.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.045 * [taylor]: Taking taylor expansion of im in re 4.045 * [backup-simplify]: Simplify im into im 4.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.045 * [backup-simplify]: Simplify (+ 1 0) into 1 4.045 * [backup-simplify]: Simplify (sqrt 1) into 1 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ 0 0) into 0 4.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.048 * [taylor]: Taking taylor expansion of 1 in im 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [taylor]: Taking taylor expansion of 0 in im 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.051 * [taylor]: Taking taylor expansion of 1/2 in im 4.051 * [backup-simplify]: Simplify 1/2 into 1/2 4.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.051 * [taylor]: Taking taylor expansion of im in im 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (* 1 1) into 1 4.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.057 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.057 * [taylor]: Taking taylor expansion of 0 in im 4.057 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.060 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.060 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.060 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.060 * [taylor]: Taking taylor expansion of re in im 4.060 * [backup-simplify]: Simplify re into re 4.060 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.060 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.060 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.060 * [taylor]: Taking taylor expansion of im in im 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (* 1 1) into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [backup-simplify]: Simplify (+ 0 1) into 1 4.062 * [backup-simplify]: Simplify (sqrt 1) into 1 4.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (+ 0 0) into 0 4.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.064 * [taylor]: Taking taylor expansion of re in re 4.064 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.065 * [backup-simplify]: Simplify (* 1 1) into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.065 * [taylor]: Taking taylor expansion of im in re 4.065 * [backup-simplify]: Simplify im into im 4.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.066 * [backup-simplify]: Simplify (+ 1 0) into 1 4.066 * [backup-simplify]: Simplify (sqrt 1) into 1 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.069 * [taylor]: Taking taylor expansion of re in re 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (* 1 1) into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.070 * [taylor]: Taking taylor expansion of im in re 4.070 * [backup-simplify]: Simplify im into im 4.070 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.071 * [backup-simplify]: Simplify (+ 1 0) into 1 4.071 * [backup-simplify]: Simplify (sqrt 1) into 1 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.074 * [taylor]: Taking taylor expansion of 1 in im 4.074 * [backup-simplify]: Simplify 1 into 1 4.074 * [taylor]: Taking taylor expansion of 0 in im 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.077 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.077 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.077 * [taylor]: Taking taylor expansion of 1/2 in im 4.078 * [backup-simplify]: Simplify 1/2 into 1/2 4.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.078 * [taylor]: Taking taylor expansion of im in im 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (* 1 1) into 1 4.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.084 * [taylor]: Taking taylor expansion of 0 in im 4.084 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.086 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 4.086 * [backup-simplify]: Simplify (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) 4.086 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0 4.086 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.087 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.087 * [taylor]: Taking taylor expansion of im in re 4.087 * [backup-simplify]: Simplify im into im 4.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.087 * [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 (* im im) into (pow im 2) 4.087 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.087 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.088 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.088 * [backup-simplify]: Simplify (+ 0 im) into im 4.088 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 4.088 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 4.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.088 * [taylor]: Taking taylor expansion of im in im 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.088 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 4.088 * [taylor]: Taking taylor expansion of re in im 4.088 * [backup-simplify]: Simplify re into re 4.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.088 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.088 * [taylor]: Taking taylor expansion of im in im 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.088 * [taylor]: Taking taylor expansion of re in im 4.088 * [backup-simplify]: Simplify re into re 4.088 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.088 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.089 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.089 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.090 * [backup-simplify]: Simplify (* 1 1) into 1 4.090 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.090 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 4.090 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 4.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.090 * [taylor]: Taking taylor expansion of im in im 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 4.090 * [taylor]: Taking taylor expansion of re in im 4.090 * [backup-simplify]: Simplify re into re 4.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.090 * [taylor]: Taking taylor expansion of im in im 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.090 * [taylor]: Taking taylor expansion of re in im 4.090 * [backup-simplify]: Simplify re into re 4.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.090 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.090 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.090 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.091 * [backup-simplify]: Simplify (* 1 1) into 1 4.091 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.091 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 4.091 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 4.091 * [taylor]: Taking taylor expansion of 1/2 in re 4.091 * [backup-simplify]: Simplify 1/2 into 1/2 4.091 * [taylor]: Taking taylor expansion of re in re 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.093 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 4.093 * [taylor]: Taking taylor expansion of 0 in re 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.094 * [backup-simplify]: Simplify (* 1 1) into 1 4.094 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.095 * [backup-simplify]: Simplify (+ 1 0) into 1 4.095 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 4.095 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 4.095 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 4.095 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 4.095 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 4.095 * [taylor]: Taking taylor expansion of 1/8 in re 4.095 * [backup-simplify]: Simplify 1/8 into 1/8 4.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 4.095 * [taylor]: Taking taylor expansion of (pow re 3) in re 4.095 * [taylor]: Taking taylor expansion of re in re 4.095 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (* 1 1) into 1 4.096 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 4.104 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 4.104 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 4.104 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 4.104 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.104 * [taylor]: Taking taylor expansion of re in re 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (/ 1 1) into 1 4.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.104 * [taylor]: Taking taylor expansion of re in re 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.105 * [backup-simplify]: Simplify (/ 1 1) into 1 4.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.105 * [taylor]: Taking taylor expansion of im in re 4.105 * [backup-simplify]: Simplify im into im 4.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.105 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.105 * [backup-simplify]: Simplify (+ 1 0) into 1 4.105 * [backup-simplify]: Simplify (sqrt 1) into 1 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.107 * [taylor]: Taking taylor expansion of im in re 4.107 * [backup-simplify]: Simplify im into im 4.107 * [backup-simplify]: Simplify (+ 1 1) into 2 4.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.107 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 4.107 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 4.107 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 4.107 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 4.107 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.108 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.108 * [taylor]: Taking taylor expansion of re in im 4.108 * [backup-simplify]: Simplify re into re 4.108 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.108 * [taylor]: Taking taylor expansion of re in im 4.108 * [backup-simplify]: Simplify re into re 4.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.108 * [taylor]: Taking taylor expansion of im in im 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (* 1 1) into 1 4.108 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [backup-simplify]: Simplify (+ 0 1) into 1 4.110 * [backup-simplify]: Simplify (sqrt 1) into 1 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.112 * [taylor]: Taking taylor expansion of im in im 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (+ 0 1) into 1 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 4.113 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 4.113 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.113 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.113 * [taylor]: Taking taylor expansion of re in im 4.113 * [backup-simplify]: Simplify re into re 4.113 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.113 * [taylor]: Taking taylor expansion of re in im 4.113 * [backup-simplify]: Simplify re into re 4.113 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.113 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.114 * [backup-simplify]: Simplify (+ 0 1) into 1 4.114 * [backup-simplify]: Simplify (sqrt 1) into 1 4.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.116 * [taylor]: Taking taylor expansion of im in im 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (+ 0 1) into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (/ 1 1) into 1 4.117 * [taylor]: Taking taylor expansion of 1 in re 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.118 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 4.118 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 4.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.118 * [taylor]: Taking taylor expansion of re in re 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (/ 1 1) into 1 4.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.125 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 4.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 4.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 4.126 * [taylor]: Taking taylor expansion of 1/2 in re 4.126 * [backup-simplify]: Simplify 1/2 into 1/2 4.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.126 * [taylor]: Taking taylor expansion of re in re 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (/ 1 1) into 1 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 4.135 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 4.135 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 4.135 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 4.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.135 * [taylor]: Taking taylor expansion of im in re 4.135 * [backup-simplify]: Simplify im into im 4.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.135 * [taylor]: Taking taylor expansion of re in re 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (/ 1 1) into 1 4.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.136 * [taylor]: Taking taylor expansion of im in re 4.136 * [backup-simplify]: Simplify im into im 4.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.136 * [backup-simplify]: Simplify (+ 1 0) into 1 4.137 * [backup-simplify]: Simplify (sqrt 1) into 1 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ 0 0) into 0 4.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.138 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.138 * [taylor]: Taking taylor expansion of re in re 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 (* im im) into (pow im 2) 4.139 * [backup-simplify]: Simplify (- 1) into -1 4.139 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.139 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (- 0) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.140 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (- 0) into 0 4.143 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.144 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 4.144 * [backup-simplify]: Simplify (/ 1 1/2) into 2 4.144 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 4.144 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 4.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.144 * [taylor]: Taking taylor expansion of im in im 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.145 * [taylor]: Taking taylor expansion of re in im 4.145 * [backup-simplify]: Simplify re into re 4.145 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.145 * [taylor]: Taking taylor expansion of im in im 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 4.145 * [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 re) in im 4.147 * [taylor]: Taking taylor expansion of re in im 4.147 * [backup-simplify]: Simplify re into re 4.147 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.148 * [backup-simplify]: Simplify (* 1 1) into 1 4.148 * [backup-simplify]: Simplify (+ 1 0) into 1 4.148 * [backup-simplify]: Simplify (* 1 1) into 1 4.148 * [backup-simplify]: Simplify (/ 1 1) into 1 4.148 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 4.149 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 4.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.149 * [taylor]: Taking taylor expansion of im in im 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.149 * [taylor]: Taking taylor expansion of re in im 4.149 * [backup-simplify]: Simplify re into re 4.149 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.149 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.149 * [taylor]: Taking taylor expansion of im in im 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (* 1 1) into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.150 * [backup-simplify]: Simplify (+ 0 1) into 1 4.150 * [backup-simplify]: Simplify (sqrt 1) into 1 4.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.152 * [taylor]: Taking taylor expansion of re in im 4.152 * [backup-simplify]: Simplify re into re 4.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.152 * [backup-simplify]: Simplify (+ 1 0) into 1 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.153 * [backup-simplify]: Simplify (/ 1 1) into 1 4.153 * [taylor]: Taking taylor expansion of 1 in re 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 4.153 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 4.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.154 * [taylor]: Taking taylor expansion of re in re 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (/ 1 1) into 1 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.156 * [backup-simplify]: Simplify (- 0) into 0 4.157 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 4.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 4.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 4.158 * [taylor]: Taking taylor expansion of 1/2 in re 4.158 * [backup-simplify]: Simplify 1/2 into 1/2 4.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.158 * [taylor]: Taking taylor expansion of re in re 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (* 1 1) into 1 4.158 * [backup-simplify]: Simplify (/ 1 1) into 1 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.163 * [backup-simplify]: Simplify (- 0) into 0 4.163 * [backup-simplify]: Simplify (+ 0 0) into 0 4.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 4.165 * [taylor]: Taking taylor expansion of 0 in re 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 4.169 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.170 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) 4.170 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0 4.170 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re 4.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 4.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.170 * [taylor]: Taking taylor expansion of 2.0 in re 4.170 * [backup-simplify]: Simplify 2.0 into 2.0 4.171 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.171 * [taylor]: Taking taylor expansion of im in re 4.171 * [backup-simplify]: Simplify im into im 4.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 4.171 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 4.171 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 4.172 * [taylor]: Taking taylor expansion of re in re 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.172 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.172 * [taylor]: Taking taylor expansion of im in re 4.172 * [backup-simplify]: Simplify im into im 4.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.172 * [taylor]: Taking taylor expansion of re in re 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.172 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.172 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 im) into im 4.173 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.173 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 4.173 * [backup-simplify]: Simplify (+ 1 0) into 1 4.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 4.174 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 4.174 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 4.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 4.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.174 * [taylor]: Taking taylor expansion of 2.0 in im 4.174 * [backup-simplify]: Simplify 2.0 into 2.0 4.174 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.175 * [taylor]: Taking taylor expansion of im in im 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 4.175 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 4.175 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 4.175 * [taylor]: Taking taylor expansion of re in im 4.175 * [backup-simplify]: Simplify re into re 4.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.175 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.175 * [taylor]: Taking taylor expansion of im in im 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.175 * [taylor]: Taking taylor expansion of re in im 4.175 * [backup-simplify]: Simplify re into re 4.175 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.175 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.176 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.176 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.176 * [backup-simplify]: Simplify (+ 0 0) into 0 4.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.176 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.176 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 4.176 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 4.177 * [backup-simplify]: Simplify (+ 0 0) into 0 4.177 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 4.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 4.177 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 4.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 4.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.177 * [taylor]: Taking taylor expansion of 2.0 in im 4.177 * [backup-simplify]: Simplify 2.0 into 2.0 4.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.178 * [taylor]: Taking taylor expansion of im in im 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 4.178 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 4.178 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 4.178 * [taylor]: Taking taylor expansion of re in im 4.178 * [backup-simplify]: Simplify re into re 4.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.178 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.179 * [taylor]: Taking taylor expansion of im in im 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.179 * [taylor]: Taking taylor expansion of re in im 4.179 * [backup-simplify]: Simplify re into re 4.179 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.179 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.179 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.179 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.179 * [backup-simplify]: Simplify (+ 0 0) into 0 4.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.180 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.180 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 4.180 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 4.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 4.181 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.181 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 4.181 * [taylor]: Taking taylor expansion of 0 in re 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 4.185 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 4.185 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 4.185 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 4.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.185 * [taylor]: Taking taylor expansion of 2.0 in re 4.185 * [backup-simplify]: Simplify 2.0 into 2.0 4.185 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.186 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 4.186 * [taylor]: Taking taylor expansion of 1/2 in re 4.186 * [backup-simplify]: Simplify 1/2 into 1/2 4.187 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 4.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.187 * [taylor]: Taking taylor expansion of re in re 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 1 into 1 4.188 * [backup-simplify]: Simplify (/ 1 1) into 1 4.189 * [backup-simplify]: Simplify (sqrt 0) into 0 4.190 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.191 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 4.192 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 4.195 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 4.197 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 4.197 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (* 1 1) into 1 4.198 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.198 * [backup-simplify]: Simplify (+ 1 0) into 1 4.199 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 4.199 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 4.199 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 4.200 * [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)))) 4.200 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.201 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 4.202 * [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 4.202 * [taylor]: Taking taylor expansion of 0 in re 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.206 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.206 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.207 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 4.210 * [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)))) 4.212 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.213 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [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 4.214 * [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 4.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.217 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.219 * [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)))))) 4.219 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 4.219 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 4.219 * [taylor]: Taking taylor expansion of 1/16 in re 4.219 * [backup-simplify]: Simplify 1/16 into 1/16 4.219 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 4.219 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 4.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.219 * [taylor]: Taking taylor expansion of 2.0 in re 4.219 * [backup-simplify]: Simplify 2.0 into 2.0 4.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.220 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 4.220 * [taylor]: Taking taylor expansion of 1/2 in re 4.220 * [backup-simplify]: Simplify 1/2 into 1/2 4.220 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.222 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 4.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 4.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 4.222 * [taylor]: Taking taylor expansion of (pow re 5) in re 4.222 * [taylor]: Taking taylor expansion of re in re 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (* 1 1) into 1 4.222 * [backup-simplify]: Simplify (* 1 1) into 1 4.222 * [backup-simplify]: Simplify (* 1 1) into 1 4.223 * [backup-simplify]: Simplify (/ 1 1) into 1 4.223 * [backup-simplify]: Simplify (sqrt 0) into 0 4.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.233 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 4.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.235 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 4.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.238 * [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 4.241 * [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)))) 4.243 * [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)))) 4.245 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.246 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 4.251 * [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)))) 4.254 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.256 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.265 * [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) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) 4.266 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 4.266 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 4.266 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 4.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 4.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.266 * [taylor]: Taking taylor expansion of 2.0 in re 4.266 * [backup-simplify]: Simplify 2.0 into 2.0 4.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.267 * [taylor]: Taking taylor expansion of im in re 4.267 * [backup-simplify]: Simplify im into im 4.268 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 4.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 4.268 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.268 * [taylor]: Taking taylor expansion of re in re 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.269 * [taylor]: Taking taylor expansion of re in re 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (* 1 1) into 1 4.269 * [backup-simplify]: Simplify (/ 1 1) into 1 4.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.270 * [taylor]: Taking taylor expansion of im in re 4.270 * [backup-simplify]: Simplify im into im 4.270 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.270 * [backup-simplify]: Simplify (+ 1 0) into 1 4.271 * [backup-simplify]: Simplify (sqrt 1) into 1 4.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.274 * [backup-simplify]: Simplify (+ 1 1) into 2 4.274 * [backup-simplify]: Simplify (/ 1 2) into 1/2 4.274 * [backup-simplify]: Simplify (sqrt 0) into 0 4.275 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 4.275 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 4.275 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.275 * [taylor]: Taking taylor expansion of 2.0 in im 4.275 * [backup-simplify]: Simplify 2.0 into 2.0 4.276 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.276 * [taylor]: Taking taylor expansion of im in im 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 4.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.277 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.277 * [taylor]: Taking taylor expansion of re in im 4.277 * [backup-simplify]: Simplify re into re 4.277 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.277 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.277 * [taylor]: Taking taylor expansion of re in im 4.277 * [backup-simplify]: Simplify re into re 4.277 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.277 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.277 * [taylor]: Taking taylor expansion of im in im 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (* 1 1) into 1 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.278 * [backup-simplify]: Simplify (+ 0 1) into 1 4.278 * [backup-simplify]: Simplify (sqrt 1) into 1 4.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (+ 0 0) into 0 4.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.280 * [backup-simplify]: Simplify (+ 0 1) into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [backup-simplify]: Simplify (sqrt 0) into 0 4.281 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.281 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 4.281 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.281 * [taylor]: Taking taylor expansion of 2.0 in im 4.281 * [backup-simplify]: Simplify 2.0 into 2.0 4.282 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.282 * [taylor]: Taking taylor expansion of im in im 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 4.283 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.283 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.283 * [taylor]: Taking taylor expansion of re in im 4.283 * [backup-simplify]: Simplify re into re 4.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.283 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.283 * [taylor]: Taking taylor expansion of re in im 4.283 * [backup-simplify]: Simplify re into re 4.283 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.283 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.283 * [taylor]: Taking taylor expansion of im in im 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify (* 1 1) into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.284 * [backup-simplify]: Simplify (+ 0 1) into 1 4.284 * [backup-simplify]: Simplify (sqrt 1) into 1 4.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.285 * [backup-simplify]: Simplify (+ 0 0) into 0 4.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.286 * [backup-simplify]: Simplify (+ 0 1) into 1 4.286 * [backup-simplify]: Simplify (/ 1 1) into 1 4.286 * [backup-simplify]: Simplify (sqrt 0) into 0 4.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.288 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.288 * [taylor]: Taking taylor expansion of 0 in re 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.290 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 4.290 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.290 * [taylor]: Taking taylor expansion of +nan.0 in re 4.290 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.290 * [taylor]: Taking taylor expansion of 2.0 in re 4.290 * [backup-simplify]: Simplify 2.0 into 2.0 4.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.291 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.292 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.293 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 4.294 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 4.295 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.296 * [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))))) 4.297 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 4.297 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 4.297 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.297 * [taylor]: Taking taylor expansion of +nan.0 in re 4.297 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.297 * [taylor]: Taking taylor expansion of 2.0 in re 4.297 * [backup-simplify]: Simplify 2.0 into 2.0 4.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.297 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 4.297 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.297 * [taylor]: Taking taylor expansion of +nan.0 in re 4.297 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.297 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.297 * [taylor]: Taking taylor expansion of 2.0 in re 4.298 * [backup-simplify]: Simplify 2.0 into 2.0 4.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.299 * [taylor]: Taking taylor expansion of re in re 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.300 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.301 * [backup-simplify]: Simplify (- 0) into 0 4.303 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.305 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.307 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.307 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.308 * [backup-simplify]: Simplify (- 0) into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.311 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.311 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 4.313 * [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)))) 4.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 4.320 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 4.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 4.320 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.320 * [taylor]: Taking taylor expansion of +nan.0 in re 4.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.320 * [taylor]: Taking taylor expansion of 2.0 in re 4.320 * [backup-simplify]: Simplify 2.0 into 2.0 4.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.321 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 4.321 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 4.321 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.321 * [taylor]: Taking taylor expansion of +nan.0 in re 4.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.321 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.321 * [taylor]: Taking taylor expansion of 2.0 in re 4.321 * [backup-simplify]: Simplify 2.0 into 2.0 4.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.322 * [taylor]: Taking taylor expansion of re in re 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 4.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 4.323 * [taylor]: Taking taylor expansion of +nan.0 in re 4.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 4.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.323 * [taylor]: Taking taylor expansion of 2.0 in re 4.323 * [backup-simplify]: Simplify 2.0 into 2.0 4.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.324 * [taylor]: Taking taylor expansion of re in re 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (* 1 1) into 1 4.324 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.325 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.327 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.330 * [backup-simplify]: Simplify (+ 0 0) into 0 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.333 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.334 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.337 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 4.337 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 4.337 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 4.337 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 4.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 4.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.337 * [taylor]: Taking taylor expansion of 2.0 in re 4.337 * [backup-simplify]: Simplify 2.0 into 2.0 4.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.338 * [taylor]: Taking taylor expansion of im in re 4.338 * [backup-simplify]: Simplify im into im 4.338 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 4.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 4.338 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 4.338 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.338 * [taylor]: Taking taylor expansion of re in re 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.339 * [taylor]: Taking taylor expansion of im in re 4.339 * [backup-simplify]: Simplify im into im 4.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.339 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.340 * [backup-simplify]: Simplify (+ 1 0) into 1 4.340 * [backup-simplify]: Simplify (sqrt 1) into 1 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.342 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.342 * [taylor]: Taking taylor expansion of re in re 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (/ 1 1) into 1 4.342 * [backup-simplify]: Simplify (- 1) into -1 4.342 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- 0) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.345 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (- 0) into 0 4.346 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.346 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 4.347 * [backup-simplify]: Simplify (sqrt 0) into 0 4.347 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 4.347 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 4.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.347 * [taylor]: Taking taylor expansion of 2.0 in im 4.347 * [backup-simplify]: Simplify 2.0 into 2.0 4.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.348 * [taylor]: Taking taylor expansion of im in im 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 4.348 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 4.348 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.349 * [taylor]: Taking taylor expansion of re in im 4.349 * [backup-simplify]: Simplify re into re 4.349 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.349 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.349 * [taylor]: Taking taylor expansion of im in im 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (* 1 1) into 1 4.349 * [backup-simplify]: Simplify (/ 1 1) into 1 4.350 * [backup-simplify]: Simplify (+ 0 1) into 1 4.350 * [backup-simplify]: Simplify (sqrt 1) into 1 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.352 * [taylor]: Taking taylor expansion of re in im 4.352 * [backup-simplify]: Simplify re into re 4.353 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.353 * [backup-simplify]: Simplify (+ 1 0) into 1 4.353 * [backup-simplify]: Simplify (/ 1 1) into 1 4.354 * [backup-simplify]: Simplify (sqrt 0) into 0 4.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.355 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 4.355 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.355 * [taylor]: Taking taylor expansion of 2.0 in im 4.356 * [backup-simplify]: Simplify 2.0 into 2.0 4.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.357 * [taylor]: Taking taylor expansion of im in im 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 4.358 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 4.358 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.358 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.358 * [taylor]: Taking taylor expansion of re in im 4.358 * [backup-simplify]: Simplify re into re 4.358 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.358 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.358 * [taylor]: Taking taylor expansion of im in im 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify (* 1 1) into 1 4.359 * [backup-simplify]: Simplify (/ 1 1) into 1 4.360 * [backup-simplify]: Simplify (+ 0 1) into 1 4.360 * [backup-simplify]: Simplify (sqrt 1) into 1 4.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.363 * [taylor]: Taking taylor expansion of re in im 4.363 * [backup-simplify]: Simplify re into re 4.363 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.363 * [backup-simplify]: Simplify (+ 1 0) into 1 4.364 * [backup-simplify]: Simplify (/ 1 1) into 1 4.364 * [backup-simplify]: Simplify (sqrt 0) into 0 4.365 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.366 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.366 * [taylor]: Taking taylor expansion of 0 in re 4.366 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.369 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 4.370 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.370 * [taylor]: Taking taylor expansion of +nan.0 in re 4.370 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.370 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.370 * [taylor]: Taking taylor expansion of 2.0 in re 4.370 * [backup-simplify]: Simplify 2.0 into 2.0 4.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 4.371 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 4.373 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 4.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.376 * [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))))) 4.376 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 4.376 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 4.376 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.376 * [taylor]: Taking taylor expansion of +nan.0 in re 4.376 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.377 * [taylor]: Taking taylor expansion of 2.0 in re 4.377 * [backup-simplify]: Simplify 2.0 into 2.0 4.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.378 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 4.378 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.378 * [taylor]: Taking taylor expansion of +nan.0 in re 4.378 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.378 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.378 * [taylor]: Taking taylor expansion of 2.0 in re 4.378 * [backup-simplify]: Simplify 2.0 into 2.0 4.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.379 * [taylor]: Taking taylor expansion of re in re 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.380 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.381 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.382 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.384 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.385 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.386 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.387 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.388 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.389 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.389 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.391 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.391 * [backup-simplify]: Simplify (- 0) into 0 4.391 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 4.392 * [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)))) 4.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 4.395 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 4.395 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 4.395 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.395 * [taylor]: Taking taylor expansion of +nan.0 in re 4.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.395 * [taylor]: Taking taylor expansion of 2.0 in re 4.395 * [backup-simplify]: Simplify 2.0 into 2.0 4.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.396 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 4.396 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 4.396 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.396 * [taylor]: Taking taylor expansion of +nan.0 in re 4.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.396 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.396 * [taylor]: Taking taylor expansion of 2.0 in re 4.396 * [backup-simplify]: Simplify 2.0 into 2.0 4.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.396 * [taylor]: Taking taylor expansion of re in re 4.396 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.397 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 4.397 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 4.397 * [taylor]: Taking taylor expansion of +nan.0 in re 4.397 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.397 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 4.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.397 * [taylor]: Taking taylor expansion of 2.0 in re 4.397 * [backup-simplify]: Simplify 2.0 into 2.0 4.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.398 * [taylor]: Taking taylor expansion of re in re 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [backup-simplify]: Simplify (* 1 1) into 1 4.399 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.399 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.401 * [backup-simplify]: Simplify (- 0) into 0 4.402 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.404 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.405 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.407 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.408 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.411 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 4.412 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 4.412 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 4.412 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 4.412 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 4.412 * [taylor]: Taking taylor expansion of re in im 4.412 * [backup-simplify]: Simplify re into re 4.412 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.412 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.412 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.412 * [taylor]: Taking taylor expansion of im in im 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.412 * [taylor]: Taking taylor expansion of re in im 4.412 * [backup-simplify]: Simplify re into re 4.412 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.412 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.413 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.413 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.413 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 4.413 * [taylor]: Taking taylor expansion of re in re 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.413 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.413 * [taylor]: Taking taylor expansion of im in re 4.413 * [backup-simplify]: Simplify im into im 4.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.413 * [taylor]: Taking taylor expansion of re in re 4.413 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.414 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.414 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.414 * [backup-simplify]: Simplify (+ 0 0) into 0 4.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.414 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 4.414 * [taylor]: Taking taylor expansion of re in re 4.414 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.415 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.415 * [taylor]: Taking taylor expansion of im in re 4.415 * [backup-simplify]: Simplify im into im 4.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.415 * [taylor]: Taking taylor expansion of re in re 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.415 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.415 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.415 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.415 * [backup-simplify]: Simplify (+ 0 0) into 0 4.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.416 * [backup-simplify]: Simplify (+ 0 im) into im 4.416 * [taylor]: Taking taylor expansion of im in im 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (+ 1 0) into 1 4.416 * [taylor]: Taking taylor expansion of 1 in im 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.417 * [backup-simplify]: Simplify (* 1 1) into 1 4.418 * [backup-simplify]: Simplify (+ 0 1) into 1 4.419 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.419 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 4.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.419 * [taylor]: Taking taylor expansion of 1/2 in im 4.419 * [backup-simplify]: Simplify 1/2 into 1/2 4.419 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.419 * [taylor]: Taking taylor expansion of im in im 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.423 * [taylor]: Taking taylor expansion of 0 in im 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 4.427 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 4.427 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 4.427 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.427 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.427 * [taylor]: Taking taylor expansion of re in im 4.427 * [backup-simplify]: Simplify re into re 4.427 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.427 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.428 * [taylor]: Taking taylor expansion of re in im 4.428 * [backup-simplify]: Simplify re into re 4.428 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.428 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.428 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.428 * [taylor]: Taking taylor expansion of im in im 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 1 into 1 4.428 * [backup-simplify]: Simplify (* 1 1) into 1 4.428 * [backup-simplify]: Simplify (/ 1 1) into 1 4.428 * [backup-simplify]: Simplify (+ 0 1) into 1 4.429 * [backup-simplify]: Simplify (sqrt 1) into 1 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.430 * [backup-simplify]: Simplify (+ 0 0) into 0 4.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.430 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.430 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.430 * [taylor]: Taking taylor expansion of re in re 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify 1 into 1 4.431 * [backup-simplify]: Simplify (/ 1 1) into 1 4.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.431 * [taylor]: Taking taylor expansion of re in re 4.431 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify 1 into 1 4.431 * [backup-simplify]: Simplify (* 1 1) into 1 4.431 * [backup-simplify]: Simplify (/ 1 1) into 1 4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.431 * [taylor]: Taking taylor expansion of im in re 4.431 * [backup-simplify]: Simplify im into im 4.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.432 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.432 * [backup-simplify]: Simplify (+ 1 0) into 1 4.432 * [backup-simplify]: Simplify (sqrt 1) into 1 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (+ 0 0) into 0 4.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.434 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.434 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.434 * [taylor]: Taking taylor expansion of re in re 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (/ 1 1) into 1 4.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.434 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.434 * [taylor]: Taking taylor expansion of re in re 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (* 1 1) into 1 4.435 * [backup-simplify]: Simplify (/ 1 1) into 1 4.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.435 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.435 * [taylor]: Taking taylor expansion of im in re 4.435 * [backup-simplify]: Simplify im into im 4.435 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.435 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.435 * [backup-simplify]: Simplify (+ 1 0) into 1 4.435 * [backup-simplify]: Simplify (sqrt 1) into 1 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.436 * [backup-simplify]: Simplify (+ 0 0) into 0 4.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.437 * [backup-simplify]: Simplify (+ 1 1) into 2 4.437 * [taylor]: Taking taylor expansion of 2 in im 4.437 * [backup-simplify]: Simplify 2 into 2 4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.438 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [taylor]: Taking taylor expansion of 0 in im 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 2 into 2 4.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.440 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.441 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.441 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.441 * [taylor]: Taking taylor expansion of 1/2 in im 4.441 * [backup-simplify]: Simplify 1/2 into 1/2 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.441 * [taylor]: Taking taylor expansion of im in im 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (* 1 1) into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.445 * [backup-simplify]: Simplify (+ 0 0) into 0 4.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.446 * [backup-simplify]: Simplify (+ 0 0) into 0 4.446 * [taylor]: Taking taylor expansion of 0 in im 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 4.448 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 4.448 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 4.448 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.448 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.448 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.448 * [taylor]: Taking taylor expansion of re in im 4.448 * [backup-simplify]: Simplify re into re 4.448 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.448 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.448 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.448 * [taylor]: Taking taylor expansion of im in im 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (* 1 1) into 1 4.449 * [backup-simplify]: Simplify (/ 1 1) into 1 4.449 * [backup-simplify]: Simplify (+ 0 1) into 1 4.449 * [backup-simplify]: Simplify (sqrt 1) into 1 4.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (+ 0 0) into 0 4.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.451 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.451 * [taylor]: Taking taylor expansion of re in im 4.451 * [backup-simplify]: Simplify re into re 4.451 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.451 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.451 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.451 * [taylor]: Taking taylor expansion of re in re 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (* 1 1) into 1 4.452 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.452 * [taylor]: Taking taylor expansion of im in re 4.452 * [backup-simplify]: Simplify im into im 4.452 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.452 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.452 * [backup-simplify]: Simplify (+ 1 0) into 1 4.452 * [backup-simplify]: Simplify (sqrt 1) into 1 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (+ 0 0) into 0 4.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.454 * [taylor]: Taking taylor expansion of re in re 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [backup-simplify]: Simplify (/ 1 1) into 1 4.454 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.454 * [taylor]: Taking taylor expansion of re in re 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [backup-simplify]: Simplify (* 1 1) into 1 4.455 * [backup-simplify]: Simplify (/ 1 1) into 1 4.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.455 * [taylor]: Taking taylor expansion of im in re 4.455 * [backup-simplify]: Simplify im into im 4.455 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.455 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.455 * [backup-simplify]: Simplify (+ 1 0) into 1 4.455 * [backup-simplify]: Simplify (sqrt 1) into 1 4.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.457 * [backup-simplify]: Simplify (+ 0 0) into 0 4.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.457 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.457 * [taylor]: Taking taylor expansion of re in re 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (/ 1 1) into 1 4.458 * [backup-simplify]: Simplify (- 1) into -1 4.458 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.458 * [taylor]: Taking taylor expansion of 0 in im 4.458 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify (- 0) into 0 4.459 * [backup-simplify]: Simplify (+ 0 0) into 0 4.459 * [taylor]: Taking taylor expansion of 0 in im 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.463 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify (- 0) into 0 4.464 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.464 * [taylor]: Taking taylor expansion of 1/2 in im 4.464 * [backup-simplify]: Simplify 1/2 into 1/2 4.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.464 * [taylor]: Taking taylor expansion of im in im 4.464 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify 1 into 1 4.465 * [backup-simplify]: Simplify (* 1 1) into 1 4.465 * [backup-simplify]: Simplify (/ 1 1) into 1 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.470 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.472 * [backup-simplify]: Simplify (- 0) into 0 4.472 * [backup-simplify]: Simplify (+ 0 0) into 0 4.472 * [taylor]: Taking taylor expansion of 0 in im 4.472 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * * * [progress]: simplifying candidates 4.475 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 4.475 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 4.475 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 4.475 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 4.475 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 9 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))))> 4.476 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 4.476 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 27 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 4.477 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #real (real->posit16 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> 4.478 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 47 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 4.478 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> 4.479 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))))))))> 4.479 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 4.479 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 4.480 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 4.481 * [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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (- (+ (log im) (log im)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (log (* im im)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (- (* im im)) (- (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im)) (/ (* im im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) 1) (/ (* im im) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (* im im) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (real->posit16 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (* im im) (+ (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 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (real->posit16 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) im re (* -1 re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) (+ re im) (* 2 re) 0 4.484 * * [simplify]: iteration 0: 149 enodes 4.541 * * [simplify]: iteration 1: 405 enodes 4.689 * * [simplify]: iteration 2: 1423 enodes 5.001 * * [simplify]: iteration complete: 2000 enodes 5.001 * * [simplify]: Extracting #0: cost 68 inf + 0 5.002 * * [simplify]: Extracting #1: cost 274 inf + 46 5.004 * * [simplify]: Extracting #2: cost 527 inf + 5121 5.010 * * [simplify]: Extracting #3: cost 538 inf + 35078 5.038 * * [simplify]: Extracting #4: cost 154 inf + 128696 5.078 * * [simplify]: Extracting #5: cost 28 inf + 160967 5.140 * * [simplify]: Extracting #6: cost 0 inf + 169456 5.190 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im)))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (exp (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (- (* im im)) (- (- (sqrt (+ (* im im) (* re re)))) re) (/ (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) im (/ im (+ (sqrt (+ (* im im) (* re re))) re)) im (/ im (+ (sqrt (+ (* im im) (* re re))) re)) (/ 1 (+ (sqrt (+ (* im im) (* re re))) re)) (/ (+ (sqrt (+ (* im im) (* re re))) re) (* im im)) (* (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (* im im) (* im im) (/ (+ (sqrt (+ (* im im) (* re re))) re) im) (/ (* im im) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (/ (* im im) (- (+ (* im im) (* re re)) (* re re))) (real->posit16 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (real->posit16 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (- (* re re) (- (* (sqrt (+ (* im im) (* re re))) re) (+ (* im im) (* re re)))) (- (+ (* im im) (* re re)) (* re re)) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)) im re (- re) 0 0 (- (+ im re)) (- (- (* +nan.0 (* (* (sqrt 2.0) (* im re)) (sqrt 1/2))) (* +nan.0 (- (/ (sqrt 2.0) (/ (sqrt 1/2) (* (* im im) im))) (* (sqrt 2.0) (* (sqrt 1/2) im)))))) (+ (- (* (sqrt 2.0) +nan.0)) (- (/ (* (sqrt 2.0) +nan.0) im) (/ (* (sqrt 2.0) +nan.0) (* im im)))) (+ (/ (- (* +nan.0 (* (sqrt 2.0) re))) (* im im)) (* +nan.0 (- (sqrt 2.0) (/ (* (sqrt 2.0) re) im)))) (+ im re) (* re 2) 0 5.197 * * * [progress]: adding candidates to table 5.584 * [progress]: [Phase 3 of 3] Extracting. 5.585 * * [regime]: Finding splitpoints for: (# # # # # #) 5.587 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 5.588 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 5.630 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 5.674 * * * * [regimes]: Trying to branch on im from (# # # # # #) 5.749 * * * * [regimes]: Trying to branch on re from (# # # # # #) 5.804 * * * [regime]: Found split indices: #