0.624 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.212 * * * [progress]: [2/2] Setting up program. 0.222 * [progress]: [Phase 2 of 3] Improving. 0.226 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.227 * * [simplify]: iteration 0: 12 enodes 0.237 * * [simplify]: iteration 1: 19 enodes 0.243 * * [simplify]: iteration 2: 27 enodes 0.252 * * [simplify]: iteration 3: 35 enodes 0.263 * * [simplify]: iteration 4: 42 enodes 0.274 * * [simplify]: iteration 5: 44 enodes 0.283 * * [simplify]: iteration complete: 44 enodes 0.284 * * [simplify]: Extracting #0: cost 1 inf + 0 0.284 * * [simplify]: Extracting #1: cost 3 inf + 0 0.285 * * [simplify]: Extracting #2: cost 3 inf + 1 0.285 * * [simplify]: Extracting #3: cost 12 inf + 1 0.285 * * [simplify]: Extracting #4: cost 10 inf + 85 0.285 * * [simplify]: Extracting #5: cost 7 inf + 460 0.286 * * [simplify]: Extracting #6: cost 1 inf + 1189 0.286 * * [simplify]: Extracting #7: cost 0 inf + 1176 0.287 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))) 0.304 * * [progress]: iteration 1 / 4 0.304 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.346 * * * [progress]: generating rewritten candidates 0.346 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1) 0.357 * * * [progress]: generating series expansions 0.357 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1) 0.362 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 0.362 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.363 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.363 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.364 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.364 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.364 * [taylor]: Taking taylor expansion of (* re re) in im 0.364 * [taylor]: Taking taylor expansion of re in im 0.364 * [backup-simplify]: Simplify re into re 0.365 * [taylor]: Taking taylor expansion of re in im 0.365 * [backup-simplify]: Simplify re into re 0.365 * [taylor]: Taking taylor expansion of (* im im) in im 0.365 * [taylor]: Taking taylor expansion of im in im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [taylor]: Taking taylor expansion of im in im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.367 * [backup-simplify]: Simplify (* 0 0) into 0 0.368 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.368 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.368 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.368 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.369 * [taylor]: Taking taylor expansion of re in im 0.369 * [backup-simplify]: Simplify re into re 0.369 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.369 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.369 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.369 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.369 * [taylor]: Taking taylor expansion of (* re re) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of (* im im) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [backup-simplify]: Simplify im into im 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [backup-simplify]: Simplify im into im 0.369 * [backup-simplify]: Simplify (* 0 0) into 0 0.369 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.369 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.370 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.370 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.371 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.371 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.371 * [taylor]: Taking taylor expansion of (* re re) in re 0.371 * [taylor]: Taking taylor expansion of re in re 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of re in re 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of (* im im) in re 0.371 * [taylor]: Taking taylor expansion of im in re 0.371 * [backup-simplify]: Simplify im into im 0.371 * [taylor]: Taking taylor expansion of im in re 0.371 * [backup-simplify]: Simplify im into im 0.371 * [backup-simplify]: Simplify (* 0 0) into 0 0.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.371 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.371 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.372 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ im 0) into im 0.373 * [taylor]: Taking taylor expansion of im in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (- 1) into -1 0.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.374 * [taylor]: Taking taylor expansion of -1 in im 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.376 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.378 * [taylor]: Taking taylor expansion of 1/2 in im 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.378 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.378 * [taylor]: Taking taylor expansion of im in im 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) 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 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.386 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.386 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.386 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.386 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.387 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.387 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.387 * [taylor]: Taking taylor expansion of re in im 0.387 * [backup-simplify]: Simplify re into re 0.387 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.387 * [taylor]: Taking taylor expansion of re in im 0.387 * [backup-simplify]: Simplify re into re 0.387 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.387 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.387 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.388 * [taylor]: Taking taylor expansion of im in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ 0 1) into 1 0.389 * [backup-simplify]: Simplify (sqrt 1) into 1 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.393 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.393 * [taylor]: Taking taylor expansion of re in im 0.393 * [backup-simplify]: Simplify re into re 0.393 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.393 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.393 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.393 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.393 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.393 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.396 * [backup-simplify]: Simplify (sqrt 1) into 1 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.400 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.400 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.400 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.400 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.400 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [backup-simplify]: Simplify im into im 0.401 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.401 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.402 * [taylor]: Taking taylor expansion of im in re 0.402 * [backup-simplify]: Simplify im into im 0.402 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.403 * [backup-simplify]: Simplify (sqrt 1) into 1 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.406 * [taylor]: Taking taylor expansion of (/ 1 re) 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 0.407 * [backup-simplify]: Simplify (- 1) into -1 0.407 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.407 * [taylor]: Taking taylor expansion of 0 in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [taylor]: Taking taylor expansion of 0 in im 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.412 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.415 * [taylor]: Taking taylor expansion of 1/2 in im 0.416 * [backup-simplify]: Simplify 1/2 into 1/2 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.428 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.428 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.428 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.428 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.428 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.428 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.428 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.428 * [taylor]: Taking taylor expansion of -1 in im 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [backup-simplify]: Simplify re into re 0.429 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.429 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.429 * [taylor]: Taking taylor expansion of -1 in im 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [backup-simplify]: Simplify re into re 0.429 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.429 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.429 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.429 * [taylor]: Taking taylor expansion of -1 in im 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ -1 1) into -1 0.430 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.430 * [taylor]: Taking taylor expansion of -1 in im 0.430 * [backup-simplify]: Simplify -1 into -1 0.430 * [taylor]: Taking taylor expansion of im in im 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ -1 1) into -1 0.430 * [backup-simplify]: Simplify (* -1 -1) into 1 0.431 * [backup-simplify]: Simplify (+ 0 1) into 1 0.431 * [backup-simplify]: Simplify (sqrt 1) into 1 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.435 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.435 * [taylor]: Taking taylor expansion of re in im 0.435 * [backup-simplify]: Simplify re into re 0.435 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.435 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.435 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.435 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.435 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.435 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.435 * [taylor]: Taking taylor expansion of -1 in re 0.435 * [backup-simplify]: Simplify -1 into -1 0.435 * [taylor]: Taking taylor expansion of re in re 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ -1 1) into -1 0.436 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.436 * [taylor]: Taking taylor expansion of -1 in re 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ -1 1) into -1 0.436 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.436 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.436 * [taylor]: Taking taylor expansion of -1 in re 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of im in re 0.437 * [backup-simplify]: Simplify im into im 0.437 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.437 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.437 * [taylor]: Taking taylor expansion of -1 in re 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of im in re 0.437 * [backup-simplify]: Simplify im into im 0.437 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.437 * [backup-simplify]: Simplify (* -1 -1) into 1 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [backup-simplify]: Simplify (sqrt 1) into 1 0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.442 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.443 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.443 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.443 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.443 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [backup-simplify]: Simplify -1 into -1 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ -1 1) into -1 0.444 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.444 * [taylor]: Taking taylor expansion of -1 in re 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [taylor]: Taking taylor expansion of re in re 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 0.444 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.444 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.444 * [taylor]: Taking taylor expansion of -1 in re 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [taylor]: Taking taylor expansion of im in re 0.444 * [backup-simplify]: Simplify im into im 0.445 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.445 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.445 * [taylor]: Taking taylor expansion of -1 in re 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [taylor]: Taking taylor expansion of im in re 0.445 * [backup-simplify]: Simplify im into im 0.445 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.445 * [backup-simplify]: Simplify (* -1 -1) into 1 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (+ 1 1) into 2 0.451 * [taylor]: Taking taylor expansion of 2 in im 0.451 * [backup-simplify]: Simplify 2 into 2 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [taylor]: Taking taylor expansion of 0 in im 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 2 into 2 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.455 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.455 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.456 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.458 * [taylor]: Taking taylor expansion of 1/2 in im 0.458 * [backup-simplify]: Simplify 1/2 into 1/2 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.458 * [taylor]: Taking taylor expansion of im in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.481 * * * [progress]: simplifying candidates 0.483 * [simplify]: Simplifying: (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.484 * * [simplify]: iteration 0: 61 enodes 0.509 * * [simplify]: iteration 1: 130 enodes 0.565 * * [simplify]: iteration 2: 237 enodes 0.686 * * [simplify]: iteration 3: 619 enodes 0.946 * * [simplify]: iteration 4: 1349 enodes 1.972 * * [simplify]: iteration 5: 3569 enodes 3.347 * * [simplify]: iteration complete: 5115 enodes 3.347 * * [simplify]: Extracting #0: cost 20 inf + 0 3.349 * * [simplify]: Extracting #1: cost 314 inf + 1 3.356 * * [simplify]: Extracting #2: cost 637 inf + 212 3.370 * * [simplify]: Extracting #3: cost 597 inf + 28115 3.418 * * [simplify]: Extracting #4: cost 398 inf + 106467 3.473 * * [simplify]: Extracting #5: cost 75 inf + 256860 3.556 * * [simplify]: Extracting #6: cost 1 inf + 295136 3.617 * * [simplify]: Extracting #7: cost 0 inf + 295578 3.706 * [simplify]: Simplified to: (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re))) (fma (hypot re im) (hypot re im) (* re (+ re (hypot re im)))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ re (hypot re im)) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* re -2) 3.710 * * * [progress]: adding candidates to table 3.871 * * [progress]: iteration 2 / 4 3.871 * * * [progress]: picking best candidate 3.898 * * * * [pick]: Picked # 3.898 * * * [progress]: localizing error 3.914 * * * [progress]: generating rewritten candidates 3.915 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 3.967 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2 1) 3.978 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1 1) 4.000 * * * [progress]: generating series expansions 4.000 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 4.001 * [backup-simplify]: Simplify (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) into (- (hypot re im) re) 4.001 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 4.001 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.001 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.001 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.001 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.001 * [taylor]: Taking taylor expansion of (* re re) in im 4.001 * [taylor]: Taking taylor expansion of re in im 4.001 * [backup-simplify]: Simplify re into re 4.001 * [taylor]: Taking taylor expansion of re in im 4.001 * [backup-simplify]: Simplify re into re 4.001 * [taylor]: Taking taylor expansion of (* im im) in im 4.001 * [taylor]: Taking taylor expansion of im in im 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [taylor]: Taking taylor expansion of im in im 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.002 * [backup-simplify]: Simplify (* 0 0) into 0 4.002 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.003 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.003 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.004 * [taylor]: Taking taylor expansion of re in im 4.004 * [backup-simplify]: Simplify re into re 4.004 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.004 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.005 * [taylor]: Taking taylor expansion of (* re re) in re 4.005 * [taylor]: Taking taylor expansion of re in re 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of re in re 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (* im im) in re 4.005 * [taylor]: Taking taylor expansion of im in re 4.005 * [backup-simplify]: Simplify im into im 4.005 * [taylor]: Taking taylor expansion of im in re 4.005 * [backup-simplify]: Simplify im into im 4.005 * [backup-simplify]: Simplify (* 0 0) into 0 4.005 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.006 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.006 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.006 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.007 * [taylor]: Taking taylor expansion of re in re 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.007 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.007 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.007 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.007 * [taylor]: Taking taylor expansion of (* re re) in re 4.007 * [taylor]: Taking taylor expansion of re in re 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.008 * [taylor]: Taking taylor expansion of re in re 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [taylor]: Taking taylor expansion of (* im im) in re 4.008 * [taylor]: Taking taylor expansion of im in re 4.008 * [backup-simplify]: Simplify im into im 4.008 * [taylor]: Taking taylor expansion of im in re 4.008 * [backup-simplify]: Simplify im into im 4.008 * [backup-simplify]: Simplify (* 0 0) into 0 4.008 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.008 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.008 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.009 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.009 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.010 * [taylor]: Taking taylor expansion of re in re 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (- 0) into 0 4.010 * [backup-simplify]: Simplify (+ im 0) into im 4.010 * [taylor]: Taking taylor expansion of im in im 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (- 1) into -1 4.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.011 * [taylor]: Taking taylor expansion of -1 in im 4.011 * [backup-simplify]: Simplify -1 into -1 4.011 * [backup-simplify]: Simplify -1 into -1 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.013 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.013 * [backup-simplify]: Simplify (+ 1 0) into 1 4.014 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.014 * [backup-simplify]: Simplify (- 0) into 0 4.014 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.014 * [taylor]: Taking taylor expansion of 1/2 in im 4.014 * [backup-simplify]: Simplify 1/2 into 1/2 4.014 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.014 * [taylor]: Taking taylor expansion of im in im 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.018 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.019 * [backup-simplify]: Simplify (- 0) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.019 * [taylor]: Taking taylor expansion of 0 in im 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.022 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 4.022 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.022 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.022 * [taylor]: Taking taylor expansion of re in im 4.022 * [backup-simplify]: Simplify re into re 4.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.022 * [taylor]: Taking taylor expansion of re in im 4.022 * [backup-simplify]: Simplify re into re 4.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.022 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.022 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.023 * [taylor]: Taking taylor expansion of im in im 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.023 * [taylor]: Taking taylor expansion of im in im 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.024 * [backup-simplify]: Simplify (* 1 1) into 1 4.024 * [backup-simplify]: Simplify (+ 0 1) into 1 4.025 * [backup-simplify]: Simplify (sqrt 1) into 1 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.028 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.028 * [taylor]: Taking taylor expansion of re in im 4.028 * [backup-simplify]: Simplify re into re 4.028 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.028 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.028 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.028 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.028 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.028 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.028 * [taylor]: Taking taylor expansion of re in re 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.029 * [backup-simplify]: Simplify (/ 1 1) into 1 4.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.029 * [taylor]: Taking taylor expansion of re in re 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [backup-simplify]: Simplify (/ 1 1) into 1 4.029 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.029 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.029 * [taylor]: Taking taylor expansion of im in re 4.029 * [backup-simplify]: Simplify im into im 4.029 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.029 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.029 * [taylor]: Taking taylor expansion of im in re 4.029 * [backup-simplify]: Simplify im into im 4.029 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (+ 1 0) into 1 4.030 * [backup-simplify]: Simplify (sqrt 1) into 1 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.034 * [taylor]: Taking taylor expansion of re in re 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (/ 1 1) into 1 4.034 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.034 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.034 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.034 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.034 * [taylor]: Taking taylor expansion of re in re 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.035 * [taylor]: Taking taylor expansion of re in re 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.035 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.035 * [taylor]: Taking taylor expansion of im in re 4.035 * [backup-simplify]: Simplify im into im 4.035 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.035 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.035 * [taylor]: Taking taylor expansion of im in re 4.036 * [backup-simplify]: Simplify im into im 4.036 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.036 * [backup-simplify]: Simplify (* 1 1) into 1 4.036 * [backup-simplify]: Simplify (+ 1 0) into 1 4.037 * [backup-simplify]: Simplify (sqrt 1) into 1 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.040 * [taylor]: Taking taylor expansion of re in re 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [backup-simplify]: Simplify (- 1) into -1 4.041 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.041 * [taylor]: Taking taylor expansion of 0 in im 4.041 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (- 0) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [taylor]: Taking taylor expansion of 0 in im 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.046 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.046 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.047 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.049 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.049 * [taylor]: Taking taylor expansion of 1/2 in im 4.049 * [backup-simplify]: Simplify 1/2 into 1/2 4.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.049 * [taylor]: Taking taylor expansion of im in im 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (* 1 1) into 1 4.050 * [backup-simplify]: Simplify (/ 1 1) into 1 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.056 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.057 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (- 0) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [taylor]: Taking taylor expansion of 0 in im 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 4.063 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.063 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.063 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.063 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.063 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.063 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.063 * [taylor]: Taking taylor expansion of -1 in im 4.063 * [backup-simplify]: Simplify -1 into -1 4.063 * [taylor]: Taking taylor expansion of re in im 4.063 * [backup-simplify]: Simplify re into re 4.063 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.063 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.063 * [taylor]: Taking taylor expansion of -1 in im 4.063 * [backup-simplify]: Simplify -1 into -1 4.063 * [taylor]: Taking taylor expansion of re in im 4.063 * [backup-simplify]: Simplify re into re 4.063 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.064 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.064 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.064 * [taylor]: Taking taylor expansion of -1 in im 4.064 * [backup-simplify]: Simplify -1 into -1 4.064 * [taylor]: Taking taylor expansion of im in im 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (/ -1 1) into -1 4.064 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.064 * [taylor]: Taking taylor expansion of -1 in im 4.064 * [backup-simplify]: Simplify -1 into -1 4.064 * [taylor]: Taking taylor expansion of im in im 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.065 * [backup-simplify]: Simplify (/ -1 1) into -1 4.065 * [backup-simplify]: Simplify (* -1 -1) into 1 4.066 * [backup-simplify]: Simplify (+ 0 1) into 1 4.066 * [backup-simplify]: Simplify (sqrt 1) into 1 4.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.070 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.070 * [taylor]: Taking taylor expansion of re in im 4.070 * [backup-simplify]: Simplify re into re 4.070 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.070 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.070 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.070 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.070 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.070 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.070 * [taylor]: Taking taylor expansion of -1 in re 4.070 * [backup-simplify]: Simplify -1 into -1 4.070 * [taylor]: Taking taylor expansion of re in re 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (/ -1 1) into -1 4.071 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.071 * [taylor]: Taking taylor expansion of -1 in re 4.071 * [backup-simplify]: Simplify -1 into -1 4.071 * [taylor]: Taking taylor expansion of re in re 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (/ -1 1) into -1 4.071 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.071 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.071 * [taylor]: Taking taylor expansion of -1 in re 4.071 * [backup-simplify]: Simplify -1 into -1 4.071 * [taylor]: Taking taylor expansion of im in re 4.071 * [backup-simplify]: Simplify im into im 4.072 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.072 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.072 * [taylor]: Taking taylor expansion of -1 in re 4.072 * [backup-simplify]: Simplify -1 into -1 4.072 * [taylor]: Taking taylor expansion of im in re 4.072 * [backup-simplify]: Simplify im into im 4.072 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.072 * [backup-simplify]: Simplify (* -1 -1) into 1 4.073 * [backup-simplify]: Simplify (+ 1 0) into 1 4.073 * [backup-simplify]: Simplify (sqrt 1) into 1 4.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.076 * [taylor]: Taking taylor expansion of re in re 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.077 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.077 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.077 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.077 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.077 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.077 * [taylor]: Taking taylor expansion of -1 in re 4.077 * [backup-simplify]: Simplify -1 into -1 4.077 * [taylor]: Taking taylor expansion of re in re 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ -1 1) into -1 4.078 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.078 * [taylor]: Taking taylor expansion of -1 in re 4.078 * [backup-simplify]: Simplify -1 into -1 4.078 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.078 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.078 * [taylor]: Taking taylor expansion of -1 in re 4.078 * [backup-simplify]: Simplify -1 into -1 4.078 * [taylor]: Taking taylor expansion of im in re 4.078 * [backup-simplify]: Simplify im into im 4.078 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.079 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.079 * [taylor]: Taking taylor expansion of -1 in re 4.079 * [backup-simplify]: Simplify -1 into -1 4.079 * [taylor]: Taking taylor expansion of im in re 4.079 * [backup-simplify]: Simplify im into im 4.079 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.079 * [backup-simplify]: Simplify (* -1 -1) into 1 4.080 * [backup-simplify]: Simplify (+ 1 0) into 1 4.080 * [backup-simplify]: Simplify (sqrt 1) into 1 4.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.083 * [taylor]: Taking taylor expansion of re in re 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.084 * [backup-simplify]: Simplify (+ 1 1) into 2 4.084 * [taylor]: Taking taylor expansion of 2 in im 4.084 * [backup-simplify]: Simplify 2 into 2 4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [taylor]: Taking taylor expansion of 0 in im 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 2 into 2 4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.089 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.089 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.090 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.090 * [taylor]: Taking taylor expansion of 1/2 in im 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 4.091 * [backup-simplify]: Simplify (* 1 1) into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.094 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.094 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ 0 0) into 0 4.096 * [taylor]: Taking taylor expansion of 0 in im 4.096 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.098 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2 1) 4.098 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 4.098 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 4.098 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.098 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.098 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.098 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.098 * [taylor]: Taking taylor expansion of (* re re) in im 4.098 * [taylor]: Taking taylor expansion of re in im 4.098 * [backup-simplify]: Simplify re into re 4.098 * [taylor]: Taking taylor expansion of re in im 4.098 * [backup-simplify]: Simplify re into re 4.098 * [taylor]: Taking taylor expansion of (* im im) in im 4.098 * [taylor]: Taking taylor expansion of im in im 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [taylor]: Taking taylor expansion of im in im 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.099 * [backup-simplify]: Simplify (* 0 0) into 0 4.099 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.099 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.099 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.099 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.100 * [taylor]: Taking taylor expansion of re in im 4.100 * [backup-simplify]: Simplify re into re 4.100 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.100 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.100 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.100 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.100 * [taylor]: Taking taylor expansion of (* re re) in re 4.100 * [taylor]: Taking taylor expansion of re in re 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of re in re 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of (* im im) in re 4.100 * [taylor]: Taking taylor expansion of im in re 4.100 * [backup-simplify]: Simplify im into im 4.100 * [taylor]: Taking taylor expansion of im in re 4.100 * [backup-simplify]: Simplify im into im 4.100 * [backup-simplify]: Simplify (* 0 0) into 0 4.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.100 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.101 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.101 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.101 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.101 * [taylor]: Taking taylor expansion of re in re 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.101 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.101 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.102 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.102 * [taylor]: Taking taylor expansion of (* re re) in re 4.102 * [taylor]: Taking taylor expansion of re in re 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [taylor]: Taking taylor expansion of re in re 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [taylor]: Taking taylor expansion of (* im im) in re 4.102 * [taylor]: Taking taylor expansion of im in re 4.102 * [backup-simplify]: Simplify im into im 4.102 * [taylor]: Taking taylor expansion of im in re 4.102 * [backup-simplify]: Simplify im into im 4.102 * [backup-simplify]: Simplify (* 0 0) into 0 4.102 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.102 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.102 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.103 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.103 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.103 * [taylor]: Taking taylor expansion of re in re 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify (+ im 0) into im 4.103 * [taylor]: Taking taylor expansion of im in im 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (- 1) into -1 4.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.104 * [taylor]: Taking taylor expansion of -1 in im 4.104 * [backup-simplify]: Simplify -1 into -1 4.104 * [backup-simplify]: Simplify -1 into -1 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.105 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.105 * [backup-simplify]: Simplify (+ 1 0) into 1 4.105 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.106 * [backup-simplify]: Simplify (- 0) into 0 4.106 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.106 * [taylor]: Taking taylor expansion of 1/2 in im 4.106 * [backup-simplify]: Simplify 1/2 into 1/2 4.106 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.106 * [taylor]: Taking taylor expansion of im in im 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (/ 1 1) into 1 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.109 * [backup-simplify]: Simplify (- 0) into 0 4.109 * [backup-simplify]: Simplify (+ 0 0) into 0 4.109 * [taylor]: Taking taylor expansion of 0 in im 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.110 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 4.110 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.110 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.110 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.110 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.110 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.110 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.110 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.110 * [taylor]: Taking taylor expansion of re in im 4.110 * [backup-simplify]: Simplify re into re 4.110 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.110 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.111 * [taylor]: Taking taylor expansion of re in im 4.111 * [backup-simplify]: Simplify re into re 4.111 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.111 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.111 * [taylor]: Taking taylor expansion of im in im 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ 1 1) into 1 4.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.111 * [taylor]: Taking taylor expansion of im in im 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ 1 1) into 1 4.112 * [backup-simplify]: Simplify (* 1 1) into 1 4.112 * [backup-simplify]: Simplify (+ 0 1) into 1 4.112 * [backup-simplify]: Simplify (sqrt 1) into 1 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.114 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.114 * [taylor]: Taking taylor expansion of re in im 4.114 * [backup-simplify]: Simplify re into re 4.114 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.114 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.114 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.114 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.114 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.114 * [taylor]: Taking taylor expansion of re in re 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.115 * [backup-simplify]: Simplify (/ 1 1) into 1 4.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.115 * [taylor]: Taking taylor expansion of re in re 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.115 * [backup-simplify]: Simplify (/ 1 1) into 1 4.115 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.115 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.115 * [taylor]: Taking taylor expansion of im in re 4.115 * [backup-simplify]: Simplify im into im 4.115 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.115 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.115 * [taylor]: Taking taylor expansion of im in re 4.115 * [backup-simplify]: Simplify im into im 4.115 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.115 * [backup-simplify]: Simplify (* 1 1) into 1 4.116 * [backup-simplify]: Simplify (+ 1 0) into 1 4.116 * [backup-simplify]: Simplify (sqrt 1) into 1 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.118 * [backup-simplify]: Simplify (+ 0 0) into 0 4.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.122 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.122 * [taylor]: Taking taylor expansion of re in re 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (/ 1 1) into 1 4.123 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.123 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.123 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.123 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.123 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.123 * [taylor]: Taking taylor expansion of re in re 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (/ 1 1) into 1 4.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.124 * [taylor]: Taking taylor expansion of re in re 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (/ 1 1) into 1 4.124 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.124 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.124 * [taylor]: Taking taylor expansion of im in re 4.124 * [backup-simplify]: Simplify im into im 4.124 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.124 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.124 * [taylor]: Taking taylor expansion of im in re 4.124 * [backup-simplify]: Simplify im into im 4.124 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.125 * [backup-simplify]: Simplify (* 1 1) into 1 4.125 * [backup-simplify]: Simplify (+ 1 0) into 1 4.126 * [backup-simplify]: Simplify (sqrt 1) into 1 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.128 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.129 * [taylor]: Taking taylor expansion of re in re 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (/ 1 1) into 1 4.129 * [backup-simplify]: Simplify (- 1) into -1 4.130 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.130 * [taylor]: Taking taylor expansion of 0 in im 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify (- 0) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.131 * [taylor]: Taking taylor expansion of 0 in im 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.132 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.134 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.134 * [taylor]: Taking taylor expansion of 1/2 in im 4.134 * [backup-simplify]: Simplify 1/2 into 1/2 4.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.134 * [taylor]: Taking taylor expansion of im in im 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.138 * [backup-simplify]: Simplify (+ 0 0) into 0 4.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (- 0) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [taylor]: Taking taylor expansion of 0 in im 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 4.142 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.142 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.142 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.142 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.142 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.142 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.142 * [taylor]: Taking taylor expansion of -1 in im 4.142 * [backup-simplify]: Simplify -1 into -1 4.142 * [taylor]: Taking taylor expansion of re in im 4.142 * [backup-simplify]: Simplify re into re 4.142 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.142 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.142 * [taylor]: Taking taylor expansion of -1 in im 4.142 * [backup-simplify]: Simplify -1 into -1 4.142 * [taylor]: Taking taylor expansion of re in im 4.142 * [backup-simplify]: Simplify re into re 4.142 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.142 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.142 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.142 * [taylor]: Taking taylor expansion of -1 in im 4.142 * [backup-simplify]: Simplify -1 into -1 4.142 * [taylor]: Taking taylor expansion of im in im 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (/ -1 1) into -1 4.142 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.142 * [taylor]: Taking taylor expansion of -1 in im 4.143 * [backup-simplify]: Simplify -1 into -1 4.143 * [taylor]: Taking taylor expansion of im in im 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (/ -1 1) into -1 4.143 * [backup-simplify]: Simplify (* -1 -1) into 1 4.143 * [backup-simplify]: Simplify (+ 0 1) into 1 4.144 * [backup-simplify]: Simplify (sqrt 1) into 1 4.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.145 * [backup-simplify]: Simplify (+ 0 0) into 0 4.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.146 * [taylor]: Taking taylor expansion of re in im 4.146 * [backup-simplify]: Simplify re into re 4.146 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.146 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.146 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.146 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.146 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.146 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.146 * [taylor]: Taking taylor expansion of -1 in re 4.146 * [backup-simplify]: Simplify -1 into -1 4.146 * [taylor]: Taking taylor expansion of re in re 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (/ -1 1) into -1 4.146 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.146 * [taylor]: Taking taylor expansion of -1 in re 4.146 * [backup-simplify]: Simplify -1 into -1 4.146 * [taylor]: Taking taylor expansion of re in re 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.147 * [backup-simplify]: Simplify (/ -1 1) into -1 4.147 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.147 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.147 * [taylor]: Taking taylor expansion of -1 in re 4.147 * [backup-simplify]: Simplify -1 into -1 4.147 * [taylor]: Taking taylor expansion of im in re 4.147 * [backup-simplify]: Simplify im into im 4.147 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.147 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.147 * [taylor]: Taking taylor expansion of -1 in re 4.147 * [backup-simplify]: Simplify -1 into -1 4.147 * [taylor]: Taking taylor expansion of im in re 4.147 * [backup-simplify]: Simplify im into im 4.147 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.147 * [backup-simplify]: Simplify (* -1 -1) into 1 4.147 * [backup-simplify]: Simplify (+ 1 0) into 1 4.147 * [backup-simplify]: Simplify (sqrt 1) into 1 4.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.149 * [taylor]: Taking taylor expansion of re in re 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (/ 1 1) into 1 4.150 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.150 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.150 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.150 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.150 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.150 * [taylor]: Taking taylor expansion of -1 in re 4.150 * [backup-simplify]: Simplify -1 into -1 4.150 * [taylor]: Taking taylor expansion of re in re 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (/ -1 1) into -1 4.150 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.150 * [taylor]: Taking taylor expansion of -1 in re 4.150 * [backup-simplify]: Simplify -1 into -1 4.150 * [taylor]: Taking taylor expansion of re in re 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (/ -1 1) into -1 4.151 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.151 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.151 * [taylor]: Taking taylor expansion of -1 in re 4.151 * [backup-simplify]: Simplify -1 into -1 4.151 * [taylor]: Taking taylor expansion of im in re 4.151 * [backup-simplify]: Simplify im into im 4.151 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.151 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.151 * [taylor]: Taking taylor expansion of -1 in re 4.151 * [backup-simplify]: Simplify -1 into -1 4.151 * [taylor]: Taking taylor expansion of im in re 4.151 * [backup-simplify]: Simplify im into im 4.151 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.151 * [backup-simplify]: Simplify (* -1 -1) into 1 4.151 * [backup-simplify]: Simplify (+ 1 0) into 1 4.152 * [backup-simplify]: Simplify (sqrt 1) into 1 4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 1) into 2 4.154 * [taylor]: Taking taylor expansion of 2 in im 4.154 * [backup-simplify]: Simplify 2 into 2 4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.155 * [taylor]: Taking taylor expansion of 0 in im 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 2 into 2 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.157 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.158 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.159 * [taylor]: Taking taylor expansion of 1/2 in im 4.159 * [backup-simplify]: Simplify 1/2 into 1/2 4.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.160 * [taylor]: Taking taylor expansion of im in im 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [backup-simplify]: Simplify (* 1 1) into 1 4.160 * [backup-simplify]: Simplify (/ 1 1) into 1 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.166 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.167 * [backup-simplify]: Simplify (+ 0 0) into 0 4.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [taylor]: Taking taylor expansion of 0 in im 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.172 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1 1) 4.172 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 4.172 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 4.172 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.172 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.173 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.173 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.173 * [taylor]: Taking taylor expansion of (* re re) in im 4.173 * [taylor]: Taking taylor expansion of re in im 4.173 * [backup-simplify]: Simplify re into re 4.173 * [taylor]: Taking taylor expansion of re in im 4.173 * [backup-simplify]: Simplify re into re 4.173 * [taylor]: Taking taylor expansion of (* im im) in im 4.173 * [taylor]: Taking taylor expansion of im in im 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [taylor]: Taking taylor expansion of im in im 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.173 * [backup-simplify]: Simplify (* 0 0) into 0 4.174 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.174 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.174 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.175 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.175 * [backup-simplify]: Simplify (+ 0 0) into 0 4.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 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 (- (hypot re im) re) in re 4.175 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.175 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.175 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.175 * [taylor]: Taking taylor expansion of (* re re) in re 4.175 * [taylor]: Taking taylor expansion of re in re 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [taylor]: Taking taylor expansion of re in re 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [taylor]: Taking taylor expansion of (* im im) in re 4.176 * [taylor]: Taking taylor expansion of im in re 4.176 * [backup-simplify]: Simplify im into im 4.176 * [taylor]: Taking taylor expansion of im in re 4.176 * [backup-simplify]: Simplify im into im 4.176 * [backup-simplify]: Simplify (* 0 0) into 0 4.176 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.176 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.176 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.177 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.178 * [backup-simplify]: Simplify (+ 0 0) into 0 4.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.178 * [taylor]: Taking taylor expansion of re in re 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.178 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.178 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.178 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.178 * [taylor]: Taking taylor expansion of (* re re) in re 4.178 * [taylor]: Taking taylor expansion of re in re 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of re in re 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (* im im) in re 4.178 * [taylor]: Taking taylor expansion of im in re 4.178 * [backup-simplify]: Simplify im into im 4.178 * [taylor]: Taking taylor expansion of im in re 4.178 * [backup-simplify]: Simplify im into im 4.179 * [backup-simplify]: Simplify (* 0 0) into 0 4.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.179 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.179 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.180 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.180 * [taylor]: Taking taylor expansion of re in re 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (- 0) into 0 4.181 * [backup-simplify]: Simplify (+ im 0) into im 4.181 * [taylor]: Taking taylor expansion of im in im 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (- 1) into -1 4.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.182 * [taylor]: Taking taylor expansion of -1 in im 4.182 * [backup-simplify]: Simplify -1 into -1 4.182 * [backup-simplify]: Simplify -1 into -1 4.182 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.184 * [backup-simplify]: Simplify (+ 1 0) into 1 4.184 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.185 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.185 * [taylor]: Taking taylor expansion of 1/2 in im 4.185 * [backup-simplify]: Simplify 1/2 into 1/2 4.185 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.185 * [taylor]: Taking taylor expansion of im in im 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (/ 1 1) into 1 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.189 * [backup-simplify]: Simplify (+ 0 0) into 0 4.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.190 * [backup-simplify]: Simplify (- 0) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.190 * [taylor]: Taking taylor expansion of 0 in im 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.191 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 4.191 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.191 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.191 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.192 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.192 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.192 * [taylor]: Taking taylor expansion of re in im 4.192 * [backup-simplify]: Simplify re into re 4.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.192 * [taylor]: Taking taylor expansion of re in im 4.192 * [backup-simplify]: Simplify re into re 4.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.192 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.192 * [taylor]: Taking taylor expansion of im in im 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.192 * [taylor]: Taking taylor expansion of im in im 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.193 * [backup-simplify]: Simplify (* 1 1) into 1 4.193 * [backup-simplify]: Simplify (+ 0 1) into 1 4.193 * [backup-simplify]: Simplify (sqrt 1) into 1 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.195 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.195 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.195 * [taylor]: Taking taylor expansion of re in im 4.195 * [backup-simplify]: Simplify re into re 4.195 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.195 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.195 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.195 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.195 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.195 * [taylor]: Taking taylor expansion of re in re 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (/ 1 1) into 1 4.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.196 * [taylor]: Taking taylor expansion of re in re 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (/ 1 1) into 1 4.196 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.196 * [taylor]: Taking taylor expansion of im in re 4.196 * [backup-simplify]: Simplify im into im 4.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.196 * [taylor]: Taking taylor expansion of im in re 4.196 * [backup-simplify]: Simplify im into im 4.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.196 * [backup-simplify]: Simplify (* 1 1) into 1 4.197 * [backup-simplify]: Simplify (+ 1 0) into 1 4.197 * [backup-simplify]: Simplify (sqrt 1) into 1 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.198 * [backup-simplify]: Simplify (+ 0 0) into 0 4.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.199 * [taylor]: Taking taylor expansion of re in re 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [backup-simplify]: Simplify (/ 1 1) into 1 4.199 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.199 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.199 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.199 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.199 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.199 * [taylor]: Taking taylor expansion of re in re 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [backup-simplify]: Simplify (/ 1 1) into 1 4.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.199 * [taylor]: Taking taylor expansion of re in re 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (/ 1 1) into 1 4.200 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.200 * [taylor]: Taking taylor expansion of im in re 4.200 * [backup-simplify]: Simplify im into im 4.200 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.200 * [taylor]: Taking taylor expansion of im in re 4.200 * [backup-simplify]: Simplify im into im 4.200 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.200 * [backup-simplify]: Simplify (* 1 1) into 1 4.200 * [backup-simplify]: Simplify (+ 1 0) into 1 4.201 * [backup-simplify]: Simplify (sqrt 1) into 1 4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.202 * [backup-simplify]: Simplify (+ 0 0) into 0 4.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.202 * [taylor]: Taking taylor expansion of re in re 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (/ 1 1) into 1 4.203 * [backup-simplify]: Simplify (- 1) into -1 4.203 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.203 * [taylor]: Taking taylor expansion of 0 in im 4.203 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (- 0) into 0 4.204 * [backup-simplify]: Simplify (+ 0 0) into 0 4.204 * [taylor]: Taking taylor expansion of 0 in im 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.206 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.206 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (- 0) into 0 4.208 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.208 * [taylor]: Taking taylor expansion of 1/2 in im 4.208 * [backup-simplify]: Simplify 1/2 into 1/2 4.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.208 * [taylor]: Taking taylor expansion of im in im 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (* 1 1) into 1 4.208 * [backup-simplify]: Simplify (/ 1 1) into 1 4.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.212 * [backup-simplify]: Simplify (+ 0 0) into 0 4.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (- 0) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [taylor]: Taking taylor expansion of 0 in im 4.213 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 4.217 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.217 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.217 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.217 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.217 * [taylor]: Taking taylor expansion of -1 in im 4.217 * [backup-simplify]: Simplify -1 into -1 4.217 * [taylor]: Taking taylor expansion of re in im 4.217 * [backup-simplify]: Simplify re into re 4.217 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.217 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.217 * [taylor]: Taking taylor expansion of -1 in im 4.217 * [backup-simplify]: Simplify -1 into -1 4.217 * [taylor]: Taking taylor expansion of re in im 4.217 * [backup-simplify]: Simplify re into re 4.217 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.217 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.217 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.217 * [taylor]: Taking taylor expansion of -1 in im 4.217 * [backup-simplify]: Simplify -1 into -1 4.217 * [taylor]: Taking taylor expansion of im in im 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (/ -1 1) into -1 4.218 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.218 * [taylor]: Taking taylor expansion of -1 in im 4.218 * [backup-simplify]: Simplify -1 into -1 4.218 * [taylor]: Taking taylor expansion of im in im 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (/ -1 1) into -1 4.219 * [backup-simplify]: Simplify (* -1 -1) into 1 4.219 * [backup-simplify]: Simplify (+ 0 1) into 1 4.220 * [backup-simplify]: Simplify (sqrt 1) into 1 4.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.223 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.224 * [taylor]: Taking taylor expansion of re in im 4.224 * [backup-simplify]: Simplify re into re 4.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.224 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.224 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.224 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.224 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.224 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.224 * [taylor]: Taking taylor expansion of -1 in re 4.224 * [backup-simplify]: Simplify -1 into -1 4.224 * [taylor]: Taking taylor expansion of re in re 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (/ -1 1) into -1 4.225 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.225 * [taylor]: Taking taylor expansion of -1 in re 4.225 * [backup-simplify]: Simplify -1 into -1 4.225 * [taylor]: Taking taylor expansion of re in re 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 1 into 1 4.226 * [backup-simplify]: Simplify (/ -1 1) into -1 4.226 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.226 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.226 * [taylor]: Taking taylor expansion of -1 in re 4.226 * [backup-simplify]: Simplify -1 into -1 4.226 * [taylor]: Taking taylor expansion of im in re 4.226 * [backup-simplify]: Simplify im into im 4.226 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.226 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.226 * [taylor]: Taking taylor expansion of -1 in re 4.226 * [backup-simplify]: Simplify -1 into -1 4.226 * [taylor]: Taking taylor expansion of im in re 4.226 * [backup-simplify]: Simplify im into im 4.226 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.226 * [backup-simplify]: Simplify (* -1 -1) into 1 4.227 * [backup-simplify]: Simplify (+ 1 0) into 1 4.227 * [backup-simplify]: Simplify (sqrt 1) into 1 4.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.230 * [backup-simplify]: Simplify (+ 0 0) into 0 4.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.231 * [taylor]: Taking taylor expansion of re in re 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.232 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.232 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [backup-simplify]: Simplify -1 into -1 4.232 * [taylor]: Taking taylor expansion of re in re 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (/ -1 1) into -1 4.232 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [backup-simplify]: Simplify -1 into -1 4.232 * [taylor]: Taking taylor expansion of re in re 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.233 * [backup-simplify]: Simplify (/ -1 1) into -1 4.233 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.233 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.233 * [taylor]: Taking taylor expansion of -1 in re 4.233 * [backup-simplify]: Simplify -1 into -1 4.233 * [taylor]: Taking taylor expansion of im in re 4.233 * [backup-simplify]: Simplify im into im 4.233 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.233 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.233 * [taylor]: Taking taylor expansion of -1 in re 4.233 * [backup-simplify]: Simplify -1 into -1 4.233 * [taylor]: Taking taylor expansion of im in re 4.233 * [backup-simplify]: Simplify im into im 4.233 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.234 * [backup-simplify]: Simplify (* -1 -1) into 1 4.234 * [backup-simplify]: Simplify (+ 1 0) into 1 4.234 * [backup-simplify]: Simplify (sqrt 1) into 1 4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.241 * [backup-simplify]: Simplify (+ 0 0) into 0 4.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.242 * [taylor]: Taking taylor expansion of re in re 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (/ 1 1) into 1 4.242 * [backup-simplify]: Simplify (+ 1 1) into 2 4.243 * [taylor]: Taking taylor expansion of 2 in im 4.243 * [backup-simplify]: Simplify 2 into 2 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [taylor]: Taking taylor expansion of 0 in im 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 2 into 2 4.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.245 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.245 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.247 * [taylor]: Taking taylor expansion of 1/2 in im 4.247 * [backup-simplify]: Simplify 1/2 into 1/2 4.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.247 * [taylor]: Taking taylor expansion of im in im 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (* 1 1) into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.250 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.251 * [backup-simplify]: Simplify (+ 0 0) into 0 4.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [taylor]: Taking taylor expansion of 0 in im 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.254 * * * [progress]: simplifying candidates 4.256 * [simplify]: Simplifying: (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (hypot re im) re) (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (- (hypot re im) re) (- (hypot re im) re)) (+ 1 1) (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (exp (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (- (hypot re im) re) (- (hypot re im) re)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 1 1) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) 1) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) 4.257 * * [simplify]: iteration 0: 128 enodes 4.305 * * [simplify]: iteration 1: 251 enodes 4.387 * * [simplify]: iteration 2: 464 enodes 4.573 * * [simplify]: iteration 3: 1125 enodes 5.474 * * [simplify]: iteration 4: 4077 enodes 7.861 * * [simplify]: iteration complete: 5000 enodes 7.861 * * [simplify]: Extracting #0: cost 35 inf + 0 7.864 * * [simplify]: Extracting #1: cost 378 inf + 3 7.873 * * [simplify]: Extracting #2: cost 806 inf + 5404 7.902 * * [simplify]: Extracting #3: cost 682 inf + 44418 7.968 * * [simplify]: Extracting #4: cost 193 inf + 169566 8.066 * * [simplify]: Extracting #5: cost 12 inf + 227009 8.149 * * [simplify]: Extracting #6: cost 0 inf + 232882 8.259 * [simplify]: Simplified to: (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) 1 1 2 1 1 (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)) 2 (log (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (* (- (hypot re im) re) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)) (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)))) (* (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)))) (* (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im)))) (- (* (hypot re im) (hypot re im)) (* re re)) (+ re (hypot re im)) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) 1 (- (hypot re im) re) (+ (sqrt re) (sqrt (hypot re im))) (- (sqrt (hypot re im)) (sqrt re)) 1 (- (hypot re im) re) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 2 1 (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (fabs (cbrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (* (sqrt (+ (sqrt re) (sqrt (hypot re im)))) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (- (hypot re im) re) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))) (- (hypot re im) re) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (- (hypot re im) re) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)) (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ re (hypot re im)) (+ (sqrt re) (sqrt (hypot re im))) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (- (hypot re im) re) (fma re -1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)) (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ re (hypot re im)) (+ (sqrt re) (sqrt (hypot re im))) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* re -2) (- im re) 0 (* re -2) (- im re) 0 (* re -2) 8.283 * * * [progress]: adding candidates to table 8.917 * * [progress]: iteration 3 / 4 8.917 * * * [progress]: picking best candidate 8.926 * * * * [pick]: Picked # 8.926 * * * [progress]: localizing error 8.941 * * * [progress]: generating rewritten candidates 8.941 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1) 8.942 * * * [progress]: generating series expansions 8.942 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1) 8.942 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 8.942 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 8.942 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 8.942 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 8.942 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 8.942 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 8.942 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.942 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.942 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.942 * [taylor]: Taking taylor expansion of (* re re) in im 8.942 * [taylor]: Taking taylor expansion of re in im 8.942 * [backup-simplify]: Simplify re into re 8.942 * [taylor]: Taking taylor expansion of re in im 8.942 * [backup-simplify]: Simplify re into re 8.942 * [taylor]: Taking taylor expansion of (* im im) in im 8.942 * [taylor]: Taking taylor expansion of im in im 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [taylor]: Taking taylor expansion of im in im 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.943 * [backup-simplify]: Simplify (* 0 0) into 0 8.943 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.943 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.943 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.943 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.944 * [backup-simplify]: Simplify (+ 0 0) into 0 8.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.944 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 8.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 8.944 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 8.944 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.944 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.944 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.944 * [taylor]: Taking taylor expansion of (* re re) in im 8.944 * [taylor]: Taking taylor expansion of re in im 8.944 * [backup-simplify]: Simplify re into re 8.944 * [taylor]: Taking taylor expansion of re in im 8.944 * [backup-simplify]: Simplify re into re 8.944 * [taylor]: Taking taylor expansion of (* im im) in im 8.944 * [taylor]: Taking taylor expansion of im in im 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [taylor]: Taking taylor expansion of im in im 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.944 * [backup-simplify]: Simplify (* 0 0) into 0 8.945 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.945 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.945 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.945 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.945 * [backup-simplify]: Simplify (+ 0 0) into 0 8.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.945 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 8.946 * [taylor]: Taking taylor expansion of (- re) in im 8.946 * [taylor]: Taking taylor expansion of re in im 8.946 * [backup-simplify]: Simplify re into re 8.946 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 8.946 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 8.946 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 8.946 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.946 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.946 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.946 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.946 * [taylor]: Taking taylor expansion of (* re re) in re 8.946 * [taylor]: Taking taylor expansion of re in re 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [taylor]: Taking taylor expansion of re in re 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [taylor]: Taking taylor expansion of (* im im) in re 8.946 * [taylor]: Taking taylor expansion of im in re 8.946 * [backup-simplify]: Simplify im into im 8.946 * [taylor]: Taking taylor expansion of im in re 8.946 * [backup-simplify]: Simplify im into im 8.946 * [backup-simplify]: Simplify (* 0 0) into 0 8.946 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.946 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.946 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.947 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.947 * [backup-simplify]: Simplify (+ 0 0) into 0 8.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.947 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.947 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.947 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.947 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.947 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.947 * [taylor]: Taking taylor expansion of (* re re) in re 8.947 * [taylor]: Taking taylor expansion of re in re 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 1 into 1 8.948 * [taylor]: Taking taylor expansion of re in re 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 1 into 1 8.948 * [taylor]: Taking taylor expansion of (* im im) in re 8.948 * [taylor]: Taking taylor expansion of im in re 8.948 * [backup-simplify]: Simplify im into im 8.948 * [taylor]: Taking taylor expansion of im in re 8.948 * [backup-simplify]: Simplify im into im 8.948 * [backup-simplify]: Simplify (* 0 0) into 0 8.948 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.948 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.948 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.948 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.949 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.949 * [backup-simplify]: Simplify (+ 0 0) into 0 8.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.949 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.949 * [taylor]: Taking taylor expansion of (- re) in re 8.949 * [taylor]: Taking taylor expansion of re in re 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 8.949 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 8.950 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 8.950 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.950 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.950 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.950 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.950 * [taylor]: Taking taylor expansion of (* re re) in re 8.950 * [taylor]: Taking taylor expansion of re in re 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [taylor]: Taking taylor expansion of re in re 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [taylor]: Taking taylor expansion of (* im im) in re 8.950 * [taylor]: Taking taylor expansion of im in re 8.950 * [backup-simplify]: Simplify im into im 8.950 * [taylor]: Taking taylor expansion of im in re 8.950 * [backup-simplify]: Simplify im into im 8.950 * [backup-simplify]: Simplify (* 0 0) into 0 8.950 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.951 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.951 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.951 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.952 * [backup-simplify]: Simplify (+ 0 0) into 0 8.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.952 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.952 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.952 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.952 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.952 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.952 * [taylor]: Taking taylor expansion of (* re re) in re 8.952 * [taylor]: Taking taylor expansion of re in re 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.953 * [taylor]: Taking taylor expansion of re in re 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 1 into 1 8.953 * [taylor]: Taking taylor expansion of (* im im) in re 8.953 * [taylor]: Taking taylor expansion of im in re 8.953 * [backup-simplify]: Simplify im into im 8.953 * [taylor]: Taking taylor expansion of im in re 8.953 * [backup-simplify]: Simplify im into im 8.953 * [backup-simplify]: Simplify (* 0 0) into 0 8.953 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.953 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.953 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.954 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.954 * [backup-simplify]: Simplify (+ 0 0) into 0 8.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.955 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.955 * [taylor]: Taking taylor expansion of (- re) in re 8.955 * [taylor]: Taking taylor expansion of re in re 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 8.956 * [backup-simplify]: Simplify (- 0) into 0 8.956 * [backup-simplify]: Simplify (+ im 0) into im 8.956 * [taylor]: Taking taylor expansion of im in im 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 8.956 * [backup-simplify]: Simplify (- 1) into -1 8.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.957 * [taylor]: Taking taylor expansion of -1 in im 8.957 * [backup-simplify]: Simplify -1 into -1 8.957 * [backup-simplify]: Simplify -1 into -1 8.957 * [backup-simplify]: Simplify 1 into 1 8.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.958 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.959 * [backup-simplify]: Simplify (+ 1 0) into 1 8.960 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.960 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 8.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.962 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.962 * [backup-simplify]: Simplify (+ 1 0) into 1 8.963 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.964 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 8.964 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 8.965 * [backup-simplify]: Simplify (- 0) into 0 8.965 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 8.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.965 * [taylor]: Taking taylor expansion of 1/2 in im 8.965 * [backup-simplify]: Simplify 1/2 into 1/2 8.965 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.965 * [taylor]: Taking taylor expansion of im in im 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 1 into 1 8.965 * [backup-simplify]: Simplify (/ 1 1) into 1 8.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.969 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.969 * [backup-simplify]: Simplify (+ 0 0) into 0 8.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 8.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.972 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.972 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 8.973 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 8.973 * [backup-simplify]: Simplify (- 0) into 0 8.973 * [backup-simplify]: Simplify (+ 0 0) into 0 8.973 * [taylor]: Taking taylor expansion of 0 in im 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.974 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 8.975 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 8.975 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 8.975 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 8.975 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 8.975 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 8.975 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 8.975 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.975 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.975 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.975 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.975 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.975 * [taylor]: Taking taylor expansion of re in im 8.975 * [backup-simplify]: Simplify re into re 8.975 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.975 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.975 * [taylor]: Taking taylor expansion of re in im 8.975 * [backup-simplify]: Simplify re into re 8.975 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.975 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.975 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.975 * [taylor]: Taking taylor expansion of im in im 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 1 into 1 8.976 * [backup-simplify]: Simplify (/ 1 1) into 1 8.976 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.976 * [taylor]: Taking taylor expansion of im in im 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [backup-simplify]: Simplify (/ 1 1) into 1 8.976 * [backup-simplify]: Simplify (* 1 1) into 1 8.976 * [backup-simplify]: Simplify (+ 0 1) into 1 8.977 * [backup-simplify]: Simplify (sqrt 1) into 1 8.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.978 * [backup-simplify]: Simplify (+ 0 0) into 0 8.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.979 * [backup-simplify]: Simplify (sqrt 0) into 0 8.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.980 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 8.980 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.980 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.980 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.980 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.980 * [taylor]: Taking taylor expansion of re in im 8.980 * [backup-simplify]: Simplify re into re 8.980 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.980 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.980 * [taylor]: Taking taylor expansion of re in im 8.980 * [backup-simplify]: Simplify re into re 8.980 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.980 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.980 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.980 * [taylor]: Taking taylor expansion of im in im 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (/ 1 1) into 1 8.980 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.980 * [taylor]: Taking taylor expansion of im in im 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (/ 1 1) into 1 8.981 * [backup-simplify]: Simplify (* 1 1) into 1 8.981 * [backup-simplify]: Simplify (+ 0 1) into 1 8.981 * [backup-simplify]: Simplify (sqrt 1) into 1 8.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.983 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.983 * [backup-simplify]: Simplify (sqrt 0) into 0 8.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.984 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 8.984 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.984 * [taylor]: Taking taylor expansion of re in im 8.984 * [backup-simplify]: Simplify re into re 8.984 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.984 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 8.985 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 8.985 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.985 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.985 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.985 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.985 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.985 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.985 * [taylor]: Taking taylor expansion of re in re 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (/ 1 1) into 1 8.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.985 * [taylor]: Taking taylor expansion of re in re 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (/ 1 1) into 1 8.985 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.985 * [taylor]: Taking taylor expansion of im in re 8.985 * [backup-simplify]: Simplify im into im 8.985 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.985 * [taylor]: Taking taylor expansion of im in re 8.985 * [backup-simplify]: Simplify im into im 8.985 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.986 * [backup-simplify]: Simplify (* 1 1) into 1 8.986 * [backup-simplify]: Simplify (+ 1 0) into 1 8.986 * [backup-simplify]: Simplify (sqrt 1) into 1 8.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.988 * [backup-simplify]: Simplify (+ 0 0) into 0 8.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.988 * [backup-simplify]: Simplify (sqrt 0) into 0 8.989 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.989 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.989 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.989 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.990 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.990 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.990 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.990 * [taylor]: Taking taylor expansion of re in re 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 1 into 1 8.990 * [backup-simplify]: Simplify (/ 1 1) into 1 8.990 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.990 * [taylor]: Taking taylor expansion of re in re 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 1 into 1 8.990 * [backup-simplify]: Simplify (/ 1 1) into 1 8.990 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.990 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.990 * [taylor]: Taking taylor expansion of im in re 8.990 * [backup-simplify]: Simplify im into im 8.990 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.990 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.990 * [taylor]: Taking taylor expansion of im in re 8.990 * [backup-simplify]: Simplify im into im 8.990 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.991 * [backup-simplify]: Simplify (* 1 1) into 1 8.991 * [backup-simplify]: Simplify (+ 1 0) into 1 8.991 * [backup-simplify]: Simplify (sqrt 1) into 1 8.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.992 * [backup-simplify]: Simplify (+ 0 0) into 0 8.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.993 * [backup-simplify]: Simplify (sqrt 0) into 0 8.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.994 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 8.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.994 * [taylor]: Taking taylor expansion of re in re 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (/ 1 1) into 1 8.994 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 8.994 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 8.994 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.994 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.994 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.995 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.995 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.995 * [taylor]: Taking taylor expansion of re in re 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (/ 1 1) into 1 8.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.995 * [taylor]: Taking taylor expansion of re in re 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (/ 1 1) into 1 8.995 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.995 * [taylor]: Taking taylor expansion of im in re 8.995 * [backup-simplify]: Simplify im into im 8.995 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.995 * [taylor]: Taking taylor expansion of im in re 8.995 * [backup-simplify]: Simplify im into im 8.995 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.996 * [backup-simplify]: Simplify (* 1 1) into 1 8.996 * [backup-simplify]: Simplify (+ 1 0) into 1 8.996 * [backup-simplify]: Simplify (sqrt 1) into 1 8.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.998 * [backup-simplify]: Simplify (+ 0 0) into 0 9.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.002 * [backup-simplify]: Simplify (sqrt 0) into 0 9.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.003 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 9.003 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.004 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.004 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.004 * [taylor]: Taking taylor expansion of re in re 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (/ 1 1) into 1 9.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.004 * [taylor]: Taking taylor expansion of re in re 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (/ 1 1) into 1 9.004 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.004 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.004 * [taylor]: Taking taylor expansion of im in re 9.004 * [backup-simplify]: Simplify im into im 9.004 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.004 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.004 * [taylor]: Taking taylor expansion of im in re 9.004 * [backup-simplify]: Simplify im into im 9.005 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.005 * [backup-simplify]: Simplify (* 1 1) into 1 9.005 * [backup-simplify]: Simplify (+ 1 0) into 1 9.005 * [backup-simplify]: Simplify (sqrt 1) into 1 9.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.007 * [backup-simplify]: Simplify (+ 0 0) into 0 9.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.008 * [backup-simplify]: Simplify (sqrt 0) into 0 9.009 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.009 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 9.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.009 * [taylor]: Taking taylor expansion of re in re 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ 1 1) into 1 9.010 * [backup-simplify]: Simplify (* 0 0) into 0 9.010 * [backup-simplify]: Simplify (+ 0 0) into 0 9.010 * [taylor]: Taking taylor expansion of 0 in im 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 9.011 * [backup-simplify]: Simplify (- 1) into -1 9.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.011 * [taylor]: Taking taylor expansion of -1 in im 9.011 * [backup-simplify]: Simplify -1 into -1 9.013 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.015 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.017 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 9.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.017 * [backup-simplify]: Simplify (- 0) into 0 9.018 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.018 * [taylor]: Taking taylor expansion of (- +nan.0) in im 9.018 * [taylor]: Taking taylor expansion of +nan.0 in im 9.018 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.020 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.020 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.020 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.022 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 9.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.023 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.023 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.024 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.025 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 9.026 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 9.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.027 * [backup-simplify]: Simplify (- 0) into 0 9.028 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.028 * [taylor]: Taking taylor expansion of (- +nan.0) in im 9.028 * [taylor]: Taking taylor expansion of +nan.0 in im 9.028 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.028 * [backup-simplify]: Simplify -1 into -1 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.030 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.030 * [backup-simplify]: Simplify (+ 0 0) into 0 9.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.031 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.033 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.033 * [backup-simplify]: Simplify (+ 0 0) into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.036 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.037 * [backup-simplify]: Simplify (- 0) into 0 9.037 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.038 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 9.038 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 9.038 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 9.038 * [taylor]: Taking taylor expansion of +nan.0 in im 9.038 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.038 * [taylor]: Taking taylor expansion of im in im 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify (* 1 1) into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.039 * [taylor]: Taking taylor expansion of (- +nan.0) in im 9.039 * [taylor]: Taking taylor expansion of +nan.0 in im 9.039 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.039 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.039 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 9.040 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 9.041 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.041 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.041 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.042 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 9.042 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 9.042 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 9.042 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 9.042 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 9.042 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 9.042 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 9.043 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.043 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.043 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.043 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.043 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.043 * [taylor]: Taking taylor expansion of -1 in im 9.043 * [backup-simplify]: Simplify -1 into -1 9.043 * [taylor]: Taking taylor expansion of re in im 9.043 * [backup-simplify]: Simplify re into re 9.043 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.043 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.043 * [taylor]: Taking taylor expansion of -1 in im 9.043 * [backup-simplify]: Simplify -1 into -1 9.043 * [taylor]: Taking taylor expansion of re in im 9.043 * [backup-simplify]: Simplify re into re 9.043 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.043 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.043 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.043 * [taylor]: Taking taylor expansion of -1 in im 9.043 * [backup-simplify]: Simplify -1 into -1 9.043 * [taylor]: Taking taylor expansion of im in im 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (/ -1 1) into -1 9.043 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.043 * [taylor]: Taking taylor expansion of -1 in im 9.043 * [backup-simplify]: Simplify -1 into -1 9.043 * [taylor]: Taking taylor expansion of im in im 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.044 * [backup-simplify]: Simplify (/ -1 1) into -1 9.044 * [backup-simplify]: Simplify (* -1 -1) into 1 9.044 * [backup-simplify]: Simplify (+ 0 1) into 1 9.044 * [backup-simplify]: Simplify (sqrt 1) into 1 9.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.046 * [backup-simplify]: Simplify (+ 0 0) into 0 9.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.046 * [backup-simplify]: Simplify (sqrt 0) into 0 9.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.047 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 9.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.048 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.048 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.048 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.048 * [taylor]: Taking taylor expansion of -1 in im 9.048 * [backup-simplify]: Simplify -1 into -1 9.048 * [taylor]: Taking taylor expansion of re in im 9.048 * [backup-simplify]: Simplify re into re 9.048 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.048 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.048 * [taylor]: Taking taylor expansion of -1 in im 9.048 * [backup-simplify]: Simplify -1 into -1 9.048 * [taylor]: Taking taylor expansion of re in im 9.048 * [backup-simplify]: Simplify re into re 9.048 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.048 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.048 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.048 * [taylor]: Taking taylor expansion of -1 in im 9.048 * [backup-simplify]: Simplify -1 into -1 9.048 * [taylor]: Taking taylor expansion of im in im 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (/ -1 1) into -1 9.048 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.048 * [taylor]: Taking taylor expansion of -1 in im 9.048 * [backup-simplify]: Simplify -1 into -1 9.048 * [taylor]: Taking taylor expansion of im in im 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (/ -1 1) into -1 9.049 * [backup-simplify]: Simplify (* -1 -1) into 1 9.049 * [backup-simplify]: Simplify (+ 0 1) into 1 9.049 * [backup-simplify]: Simplify (sqrt 1) into 1 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.051 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.051 * [backup-simplify]: Simplify (+ 0 0) into 0 9.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.052 * [backup-simplify]: Simplify (sqrt 0) into 0 9.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.052 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.052 * [taylor]: Taking taylor expansion of re in im 9.053 * [backup-simplify]: Simplify re into re 9.053 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.053 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 9.053 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 9.053 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 9.053 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 9.053 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.053 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.053 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.053 * [taylor]: Taking taylor expansion of -1 in re 9.053 * [backup-simplify]: Simplify -1 into -1 9.053 * [taylor]: Taking taylor expansion of re in re 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [backup-simplify]: Simplify (/ -1 1) into -1 9.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.053 * [taylor]: Taking taylor expansion of -1 in re 9.053 * [backup-simplify]: Simplify -1 into -1 9.053 * [taylor]: Taking taylor expansion of re in re 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ -1 1) into -1 9.054 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.054 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.054 * [taylor]: Taking taylor expansion of -1 in re 9.054 * [backup-simplify]: Simplify -1 into -1 9.054 * [taylor]: Taking taylor expansion of im in re 9.054 * [backup-simplify]: Simplify im into im 9.054 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.054 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.054 * [taylor]: Taking taylor expansion of -1 in re 9.054 * [backup-simplify]: Simplify -1 into -1 9.054 * [taylor]: Taking taylor expansion of im in re 9.054 * [backup-simplify]: Simplify im into im 9.054 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.054 * [backup-simplify]: Simplify (* -1 -1) into 1 9.054 * [backup-simplify]: Simplify (+ 1 0) into 1 9.055 * [backup-simplify]: Simplify (sqrt 1) into 1 9.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.056 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.056 * [backup-simplify]: Simplify (+ 0 0) into 0 9.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.057 * [backup-simplify]: Simplify (sqrt 0) into 0 9.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.058 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 9.058 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.058 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.058 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.058 * [taylor]: Taking taylor expansion of -1 in re 9.058 * [backup-simplify]: Simplify -1 into -1 9.058 * [taylor]: Taking taylor expansion of re in re 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (/ -1 1) into -1 9.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.058 * [taylor]: Taking taylor expansion of -1 in re 9.058 * [backup-simplify]: Simplify -1 into -1 9.058 * [taylor]: Taking taylor expansion of re in re 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (/ -1 1) into -1 9.058 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.058 * [taylor]: Taking taylor expansion of -1 in re 9.058 * [backup-simplify]: Simplify -1 into -1 9.059 * [taylor]: Taking taylor expansion of im in re 9.059 * [backup-simplify]: Simplify im into im 9.059 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.059 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.059 * [taylor]: Taking taylor expansion of -1 in re 9.059 * [backup-simplify]: Simplify -1 into -1 9.059 * [taylor]: Taking taylor expansion of im in re 9.059 * [backup-simplify]: Simplify im into im 9.059 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.059 * [backup-simplify]: Simplify (* -1 -1) into 1 9.059 * [backup-simplify]: Simplify (+ 1 0) into 1 9.059 * [backup-simplify]: Simplify (sqrt 1) into 1 9.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.062 * [backup-simplify]: Simplify (sqrt 0) into 0 9.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.062 * [taylor]: Taking taylor expansion of re in re 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify 1 into 1 9.063 * [backup-simplify]: Simplify (/ 1 1) into 1 9.063 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 9.063 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 9.063 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 9.063 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 9.063 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.063 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.063 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.063 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.063 * [taylor]: Taking taylor expansion of -1 in re 9.063 * [backup-simplify]: Simplify -1 into -1 9.063 * [taylor]: Taking taylor expansion of re in re 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 1 into 1 9.063 * [backup-simplify]: Simplify (/ -1 1) into -1 9.063 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.063 * [taylor]: Taking taylor expansion of -1 in re 9.063 * [backup-simplify]: Simplify -1 into -1 9.063 * [taylor]: Taking taylor expansion of re in re 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 1 into 1 9.064 * [backup-simplify]: Simplify (/ -1 1) into -1 9.064 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.064 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.064 * [taylor]: Taking taylor expansion of -1 in re 9.064 * [backup-simplify]: Simplify -1 into -1 9.064 * [taylor]: Taking taylor expansion of im in re 9.064 * [backup-simplify]: Simplify im into im 9.064 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.064 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.064 * [taylor]: Taking taylor expansion of -1 in re 9.064 * [backup-simplify]: Simplify -1 into -1 9.064 * [taylor]: Taking taylor expansion of im in re 9.064 * [backup-simplify]: Simplify im into im 9.064 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.064 * [backup-simplify]: Simplify (* -1 -1) into 1 9.064 * [backup-simplify]: Simplify (+ 1 0) into 1 9.065 * [backup-simplify]: Simplify (sqrt 1) into 1 9.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.067 * [backup-simplify]: Simplify (sqrt 0) into 0 9.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.068 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 9.068 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.068 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.068 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.068 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.068 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.068 * [taylor]: Taking taylor expansion of -1 in re 9.068 * [backup-simplify]: Simplify -1 into -1 9.068 * [taylor]: Taking taylor expansion of re in re 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [backup-simplify]: Simplify (/ -1 1) into -1 9.068 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.068 * [taylor]: Taking taylor expansion of -1 in re 9.068 * [backup-simplify]: Simplify -1 into -1 9.068 * [taylor]: Taking taylor expansion of re in re 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.069 * [backup-simplify]: Simplify (/ -1 1) into -1 9.069 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.069 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.069 * [taylor]: Taking taylor expansion of -1 in re 9.069 * [backup-simplify]: Simplify -1 into -1 9.069 * [taylor]: Taking taylor expansion of im in re 9.069 * [backup-simplify]: Simplify im into im 9.069 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.069 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.069 * [taylor]: Taking taylor expansion of -1 in re 9.069 * [backup-simplify]: Simplify -1 into -1 9.069 * [taylor]: Taking taylor expansion of im in re 9.069 * [backup-simplify]: Simplify im into im 9.069 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.069 * [backup-simplify]: Simplify (* -1 -1) into 1 9.069 * [backup-simplify]: Simplify (+ 1 0) into 1 9.070 * [backup-simplify]: Simplify (sqrt 1) into 1 9.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.071 * [backup-simplify]: Simplify (+ 0 0) into 0 9.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.072 * [backup-simplify]: Simplify (sqrt 0) into 0 9.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.073 * [taylor]: Taking taylor expansion of re in re 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [backup-simplify]: Simplify (/ 1 1) into 1 9.073 * [backup-simplify]: Simplify (* 0 0) into 0 9.073 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [taylor]: Taking taylor expansion of 0 in im 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 9.074 * [backup-simplify]: Simplify (+ 0 1) into 1 9.074 * [taylor]: Taking taylor expansion of 1 in im 9.074 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.079 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.081 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 9.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.084 * [taylor]: Taking taylor expansion of (- +nan.0) in im 9.084 * [taylor]: Taking taylor expansion of +nan.0 in im 9.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.084 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.087 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.090 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 9.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.093 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.097 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 9.099 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 9.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.100 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.100 * [taylor]: Taking taylor expansion of (- +nan.0) in im 9.100 * [taylor]: Taking taylor expansion of +nan.0 in im 9.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.100 * [backup-simplify]: Simplify 1 into 1 9.101 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.107 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.107 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.107 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.108 * [backup-simplify]: Simplify (+ 0 0) into 0 9.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.110 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.113 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.113 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.113 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.114 * [backup-simplify]: Simplify (+ 0 0) into 0 9.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.118 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 9.119 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 9.119 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 9.119 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 9.119 * [taylor]: Taking taylor expansion of +nan.0 in im 9.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.120 * [taylor]: Taking taylor expansion of im in im 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [backup-simplify]: Simplify (* 1 1) into 1 9.120 * [backup-simplify]: Simplify (/ 1 1) into 1 9.120 * [taylor]: Taking taylor expansion of (- +nan.0) in im 9.120 * [taylor]: Taking taylor expansion of +nan.0 in im 9.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.121 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.121 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 9.122 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 9.122 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.123 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.123 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.125 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 9.125 * * * [progress]: simplifying candidates 9.125 * [simplify]: Simplifying: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (- im re) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 9.126 * * [simplify]: iteration 0: 28 enodes 9.137 * * [simplify]: iteration 1: 52 enodes 9.158 * * [simplify]: iteration 2: 135 enodes 9.198 * * [simplify]: iteration 3: 455 enodes 9.503 * * [simplify]: iteration 4: 1418 enodes 11.103 * * [simplify]: iteration 5: 4960 enodes 12.205 * * [simplify]: iteration complete: 5000 enodes 12.205 * * [simplify]: Extracting #0: cost 11 inf + 0 12.206 * * [simplify]: Extracting #1: cost 134 inf + 0 12.223 * * [simplify]: Extracting #2: cost 761 inf + 2562 12.249 * * [simplify]: Extracting #3: cost 529 inf + 52242 12.317 * * [simplify]: Extracting #4: cost 38 inf + 123527 12.359 * * [simplify]: Extracting #5: cost 0 inf + 132489 12.413 * * [simplify]: Extracting #6: cost 0 inf + 132449 12.479 * [simplify]: Simplified to: (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (hypot re im) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- im re) (- (- (* +nan.0 (* (/ im re) (/ im re))) +nan.0) re) (- (- (* +nan.0 (* (/ im re) (/ im re))) +nan.0) re) 12.480 * * * [progress]: adding candidates to table 12.578 * * [progress]: iteration 4 / 4 12.578 * * * [progress]: picking best candidate 12.594 * * * * [pick]: Picked # 12.594 * * * [progress]: localizing error 12.619 * * * [progress]: generating rewritten candidates 12.619 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2 1) 12.620 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 1 1) 12.620 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 12.632 * * * [progress]: generating series expansions 12.632 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2 1) 12.632 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 12.632 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 12.632 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 12.632 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 12.632 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 12.632 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 12.632 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.632 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.632 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.632 * [taylor]: Taking taylor expansion of (* re re) in im 12.632 * [taylor]: Taking taylor expansion of re in im 12.633 * [backup-simplify]: Simplify re into re 12.633 * [taylor]: Taking taylor expansion of re in im 12.633 * [backup-simplify]: Simplify re into re 12.633 * [taylor]: Taking taylor expansion of (* im im) in im 12.633 * [taylor]: Taking taylor expansion of im in im 12.633 * [backup-simplify]: Simplify 0 into 0 12.633 * [backup-simplify]: Simplify 1 into 1 12.633 * [taylor]: Taking taylor expansion of im in im 12.633 * [backup-simplify]: Simplify 0 into 0 12.633 * [backup-simplify]: Simplify 1 into 1 12.633 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.637 * [backup-simplify]: Simplify (* 0 0) into 0 12.637 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.638 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.638 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.638 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.638 * [backup-simplify]: Simplify (+ 0 0) into 0 12.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.639 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 12.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 12.639 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 12.639 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.639 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.639 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.639 * [taylor]: Taking taylor expansion of (* re re) in im 12.639 * [taylor]: Taking taylor expansion of re in im 12.639 * [backup-simplify]: Simplify re into re 12.639 * [taylor]: Taking taylor expansion of re in im 12.639 * [backup-simplify]: Simplify re into re 12.639 * [taylor]: Taking taylor expansion of (* im im) in im 12.639 * [taylor]: Taking taylor expansion of im in im 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.639 * [taylor]: Taking taylor expansion of im in im 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.639 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.639 * [backup-simplify]: Simplify (* 0 0) into 0 12.639 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.639 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.639 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.640 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.640 * [backup-simplify]: Simplify (+ 0 0) into 0 12.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.640 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 12.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 12.640 * [taylor]: Taking taylor expansion of (- re) in im 12.640 * [taylor]: Taking taylor expansion of re in im 12.640 * [backup-simplify]: Simplify re into re 12.640 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 12.640 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 12.640 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 12.640 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.641 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.641 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.641 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.641 * [taylor]: Taking taylor expansion of (* re re) in re 12.641 * [taylor]: Taking taylor expansion of re in re 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [taylor]: Taking taylor expansion of re in re 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [taylor]: Taking taylor expansion of (* im im) in re 12.641 * [taylor]: Taking taylor expansion of im in re 12.641 * [backup-simplify]: Simplify im into im 12.641 * [taylor]: Taking taylor expansion of im in re 12.641 * [backup-simplify]: Simplify im into im 12.641 * [backup-simplify]: Simplify (* 0 0) into 0 12.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.641 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.641 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.642 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.642 * [backup-simplify]: Simplify (+ 0 0) into 0 12.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.642 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.642 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.642 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.642 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.643 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.643 * [taylor]: Taking taylor expansion of (* re re) in re 12.643 * [taylor]: Taking taylor expansion of re in re 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.643 * [taylor]: Taking taylor expansion of re in re 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.643 * [taylor]: Taking taylor expansion of (* im im) in re 12.643 * [taylor]: Taking taylor expansion of im in re 12.643 * [backup-simplify]: Simplify im into im 12.643 * [taylor]: Taking taylor expansion of im in re 12.643 * [backup-simplify]: Simplify im into im 12.643 * [backup-simplify]: Simplify (* 0 0) into 0 12.643 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.643 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.643 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.644 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.644 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.644 * [backup-simplify]: Simplify (+ 0 0) into 0 12.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.644 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.644 * [taylor]: Taking taylor expansion of (- re) in re 12.644 * [taylor]: Taking taylor expansion of re in re 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 1 into 1 12.644 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 12.644 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 12.644 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 12.644 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.644 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.644 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.644 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.644 * [taylor]: Taking taylor expansion of (* re re) in re 12.644 * [taylor]: Taking taylor expansion of re in re 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 1 into 1 12.644 * [taylor]: Taking taylor expansion of re in re 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 1 into 1 12.644 * [taylor]: Taking taylor expansion of (* im im) in re 12.645 * [taylor]: Taking taylor expansion of im in re 12.645 * [backup-simplify]: Simplify im into im 12.645 * [taylor]: Taking taylor expansion of im in re 12.645 * [backup-simplify]: Simplify im into im 12.645 * [backup-simplify]: Simplify (* 0 0) into 0 12.645 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.645 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.645 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.646 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.646 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.647 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.647 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.647 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.647 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.647 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.647 * [taylor]: Taking taylor expansion of (* re re) in re 12.647 * [taylor]: Taking taylor expansion of re in re 12.647 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify 1 into 1 12.647 * [taylor]: Taking taylor expansion of re in re 12.647 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify 1 into 1 12.647 * [taylor]: Taking taylor expansion of (* im im) in re 12.647 * [taylor]: Taking taylor expansion of im in re 12.647 * [backup-simplify]: Simplify im into im 12.647 * [taylor]: Taking taylor expansion of im in re 12.647 * [backup-simplify]: Simplify im into im 12.648 * [backup-simplify]: Simplify (* 0 0) into 0 12.648 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.648 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.648 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.649 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.649 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.649 * [backup-simplify]: Simplify (+ 0 0) into 0 12.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.649 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.650 * [taylor]: Taking taylor expansion of (- re) in re 12.650 * [taylor]: Taking taylor expansion of re in re 12.650 * [backup-simplify]: Simplify 0 into 0 12.650 * [backup-simplify]: Simplify 1 into 1 12.650 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 12.650 * [backup-simplify]: Simplify (- 0) into 0 12.650 * [backup-simplify]: Simplify (+ im 0) into im 12.650 * [taylor]: Taking taylor expansion of im in im 12.650 * [backup-simplify]: Simplify 0 into 0 12.650 * [backup-simplify]: Simplify 1 into 1 12.650 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 12.651 * [backup-simplify]: Simplify (- 1) into -1 12.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.651 * [taylor]: Taking taylor expansion of -1 in im 12.651 * [backup-simplify]: Simplify -1 into -1 12.651 * [backup-simplify]: Simplify -1 into -1 12.651 * [backup-simplify]: Simplify 1 into 1 12.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.653 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.653 * [backup-simplify]: Simplify (+ 1 0) into 1 12.654 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.655 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 12.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.656 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.656 * [backup-simplify]: Simplify (+ 1 0) into 1 12.657 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.658 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 12.659 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 12.659 * [backup-simplify]: Simplify (- 0) into 0 12.659 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 12.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 12.659 * [taylor]: Taking taylor expansion of 1/2 in im 12.660 * [backup-simplify]: Simplify 1/2 into 1/2 12.660 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.660 * [taylor]: Taking taylor expansion of im in im 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 1 into 1 12.660 * [backup-simplify]: Simplify (/ 1 1) into 1 12.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify 0 into 0 12.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.664 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.664 * [backup-simplify]: Simplify (+ 0 0) into 0 12.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 12.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.667 * [backup-simplify]: Simplify (+ 0 0) into 0 12.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 12.668 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 12.668 * [backup-simplify]: Simplify (- 0) into 0 12.669 * [backup-simplify]: Simplify (+ 0 0) into 0 12.669 * [taylor]: Taking taylor expansion of 0 in im 12.669 * [backup-simplify]: Simplify 0 into 0 12.669 * [backup-simplify]: Simplify 0 into 0 12.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 12.671 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 12.671 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 12.672 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 12.672 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 12.672 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 12.672 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 12.672 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.672 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.672 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.672 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.672 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.672 * [taylor]: Taking taylor expansion of re in im 12.672 * [backup-simplify]: Simplify re into re 12.672 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.672 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.672 * [taylor]: Taking taylor expansion of re in im 12.672 * [backup-simplify]: Simplify re into re 12.672 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.672 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.672 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.672 * [taylor]: Taking taylor expansion of im in im 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 1 into 1 12.673 * [backup-simplify]: Simplify (/ 1 1) into 1 12.673 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.673 * [taylor]: Taking taylor expansion of im in im 12.673 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify 1 into 1 12.674 * [backup-simplify]: Simplify (/ 1 1) into 1 12.674 * [backup-simplify]: Simplify (* 1 1) into 1 12.674 * [backup-simplify]: Simplify (+ 0 1) into 1 12.675 * [backup-simplify]: Simplify (sqrt 1) into 1 12.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.678 * [backup-simplify]: Simplify (+ 0 0) into 0 12.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.679 * [backup-simplify]: Simplify (sqrt 0) into 0 12.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.680 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 12.680 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.681 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.681 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.681 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.681 * [taylor]: Taking taylor expansion of re in im 12.681 * [backup-simplify]: Simplify re into re 12.681 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.681 * [taylor]: Taking taylor expansion of re in im 12.681 * [backup-simplify]: Simplify re into re 12.681 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.681 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.681 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.681 * [taylor]: Taking taylor expansion of im in im 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify 1 into 1 12.681 * [backup-simplify]: Simplify (/ 1 1) into 1 12.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.682 * [taylor]: Taking taylor expansion of im in im 12.682 * [backup-simplify]: Simplify 0 into 0 12.682 * [backup-simplify]: Simplify 1 into 1 12.682 * [backup-simplify]: Simplify (/ 1 1) into 1 12.682 * [backup-simplify]: Simplify (* 1 1) into 1 12.683 * [backup-simplify]: Simplify (+ 0 1) into 1 12.683 * [backup-simplify]: Simplify (sqrt 1) into 1 12.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.686 * [backup-simplify]: Simplify (+ 0 0) into 0 12.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.687 * [backup-simplify]: Simplify (sqrt 0) into 0 12.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.689 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 12.689 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.689 * [taylor]: Taking taylor expansion of re in im 12.689 * [backup-simplify]: Simplify re into re 12.689 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.689 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 12.689 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 12.689 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 12.689 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.689 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.689 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.689 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.689 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.689 * [taylor]: Taking taylor expansion of re in re 12.689 * [backup-simplify]: Simplify 0 into 0 12.689 * [backup-simplify]: Simplify 1 into 1 12.690 * [backup-simplify]: Simplify (/ 1 1) into 1 12.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.690 * [taylor]: Taking taylor expansion of re in re 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify 1 into 1 12.690 * [backup-simplify]: Simplify (/ 1 1) into 1 12.690 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.690 * [taylor]: Taking taylor expansion of im in re 12.690 * [backup-simplify]: Simplify im into im 12.690 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.690 * [taylor]: Taking taylor expansion of im in re 12.690 * [backup-simplify]: Simplify im into im 12.691 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.691 * [backup-simplify]: Simplify (* 1 1) into 1 12.691 * [backup-simplify]: Simplify (+ 1 0) into 1 12.692 * [backup-simplify]: Simplify (sqrt 1) into 1 12.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.694 * [backup-simplify]: Simplify (+ 0 0) into 0 12.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.694 * [backup-simplify]: Simplify (sqrt 0) into 0 12.695 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.695 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.695 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.695 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.695 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.695 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.695 * [taylor]: Taking taylor expansion of re in re 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify 1 into 1 12.695 * [backup-simplify]: Simplify (/ 1 1) into 1 12.695 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.695 * [taylor]: Taking taylor expansion of re in re 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify 1 into 1 12.696 * [backup-simplify]: Simplify (/ 1 1) into 1 12.696 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.696 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.696 * [taylor]: Taking taylor expansion of im in re 12.696 * [backup-simplify]: Simplify im into im 12.696 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.696 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.696 * [taylor]: Taking taylor expansion of im in re 12.696 * [backup-simplify]: Simplify im into im 12.696 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.696 * [backup-simplify]: Simplify (* 1 1) into 1 12.696 * [backup-simplify]: Simplify (+ 1 0) into 1 12.697 * [backup-simplify]: Simplify (sqrt 1) into 1 12.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.698 * [backup-simplify]: Simplify (+ 0 0) into 0 12.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.699 * [backup-simplify]: Simplify (sqrt 0) into 0 12.700 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.700 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 12.700 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.700 * [taylor]: Taking taylor expansion of re in re 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 1 into 1 12.700 * [backup-simplify]: Simplify (/ 1 1) into 1 12.700 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 12.700 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 12.700 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 12.700 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.700 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.700 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.700 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.700 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.700 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.700 * [taylor]: Taking taylor expansion of re in re 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 1 into 1 12.701 * [backup-simplify]: Simplify (/ 1 1) into 1 12.701 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.701 * [taylor]: Taking taylor expansion of re in re 12.701 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify 1 into 1 12.701 * [backup-simplify]: Simplify (/ 1 1) into 1 12.701 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.701 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.701 * [taylor]: Taking taylor expansion of im in re 12.701 * [backup-simplify]: Simplify im into im 12.701 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.701 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.701 * [taylor]: Taking taylor expansion of im in re 12.701 * [backup-simplify]: Simplify im into im 12.701 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.701 * [backup-simplify]: Simplify (* 1 1) into 1 12.702 * [backup-simplify]: Simplify (+ 1 0) into 1 12.702 * [backup-simplify]: Simplify (sqrt 1) into 1 12.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.704 * [backup-simplify]: Simplify (+ 0 0) into 0 12.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.705 * [backup-simplify]: Simplify (sqrt 0) into 0 12.705 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.705 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.705 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.706 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.706 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.706 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.706 * [taylor]: Taking taylor expansion of re in re 12.706 * [backup-simplify]: Simplify 0 into 0 12.706 * [backup-simplify]: Simplify 1 into 1 12.706 * [backup-simplify]: Simplify (/ 1 1) into 1 12.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.706 * [taylor]: Taking taylor expansion of re in re 12.706 * [backup-simplify]: Simplify 0 into 0 12.706 * [backup-simplify]: Simplify 1 into 1 12.706 * [backup-simplify]: Simplify (/ 1 1) into 1 12.706 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.706 * [taylor]: Taking taylor expansion of im in re 12.706 * [backup-simplify]: Simplify im into im 12.706 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.706 * [taylor]: Taking taylor expansion of im in re 12.706 * [backup-simplify]: Simplify im into im 12.706 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.707 * [backup-simplify]: Simplify (* 1 1) into 1 12.707 * [backup-simplify]: Simplify (+ 1 0) into 1 12.707 * [backup-simplify]: Simplify (sqrt 1) into 1 12.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.709 * [backup-simplify]: Simplify (+ 0 0) into 0 12.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.709 * [backup-simplify]: Simplify (sqrt 0) into 0 12.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.710 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 12.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.710 * [taylor]: Taking taylor expansion of re in re 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify 1 into 1 12.710 * [backup-simplify]: Simplify (/ 1 1) into 1 12.711 * [backup-simplify]: Simplify (* 0 0) into 0 12.711 * [backup-simplify]: Simplify (+ 0 0) into 0 12.711 * [taylor]: Taking taylor expansion of 0 in im 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 12.711 * [backup-simplify]: Simplify (- 1) into -1 12.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.712 * [taylor]: Taking taylor expansion of -1 in im 12.712 * [backup-simplify]: Simplify -1 into -1 12.713 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.715 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.717 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 12.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.717 * [backup-simplify]: Simplify (- 0) into 0 12.718 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.718 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.718 * [taylor]: Taking taylor expansion of +nan.0 in im 12.718 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.720 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.720 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.720 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.722 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.724 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.724 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.726 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.726 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 12.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.727 * [backup-simplify]: Simplify (- 0) into 0 12.728 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.728 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.728 * [taylor]: Taking taylor expansion of +nan.0 in im 12.728 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.728 * [backup-simplify]: Simplify -1 into -1 12.728 * [backup-simplify]: Simplify 0 into 0 12.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.731 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.731 * [backup-simplify]: Simplify (+ 0 0) into 0 12.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.733 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.736 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.737 * [backup-simplify]: Simplify (+ 0 0) into 0 12.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.739 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.741 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.743 * [backup-simplify]: Simplify (- 0) into 0 12.743 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.743 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 12.743 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 12.743 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 12.743 * [taylor]: Taking taylor expansion of +nan.0 in im 12.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.744 * [taylor]: Taking taylor expansion of im in im 12.744 * [backup-simplify]: Simplify 0 into 0 12.744 * [backup-simplify]: Simplify 1 into 1 12.744 * [backup-simplify]: Simplify (* 1 1) into 1 12.744 * [backup-simplify]: Simplify (/ 1 1) into 1 12.744 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.744 * [taylor]: Taking taylor expansion of +nan.0 in im 12.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.745 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 12.745 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 12.746 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 12.747 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.747 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.748 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.749 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 12.749 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 12.750 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 12.750 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 12.750 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 12.750 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 12.750 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 12.750 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.750 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.750 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.750 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.750 * [taylor]: Taking taylor expansion of -1 in im 12.750 * [backup-simplify]: Simplify -1 into -1 12.750 * [taylor]: Taking taylor expansion of re in im 12.750 * [backup-simplify]: Simplify re into re 12.750 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.750 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.750 * [taylor]: Taking taylor expansion of -1 in im 12.750 * [backup-simplify]: Simplify -1 into -1 12.750 * [taylor]: Taking taylor expansion of re in im 12.751 * [backup-simplify]: Simplify re into re 12.751 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.751 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.751 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.751 * [taylor]: Taking taylor expansion of -1 in im 12.751 * [backup-simplify]: Simplify -1 into -1 12.751 * [taylor]: Taking taylor expansion of im in im 12.751 * [backup-simplify]: Simplify 0 into 0 12.751 * [backup-simplify]: Simplify 1 into 1 12.752 * [backup-simplify]: Simplify (/ -1 1) into -1 12.752 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.752 * [taylor]: Taking taylor expansion of -1 in im 12.752 * [backup-simplify]: Simplify -1 into -1 12.752 * [taylor]: Taking taylor expansion of im in im 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify 1 into 1 12.752 * [backup-simplify]: Simplify (/ -1 1) into -1 12.753 * [backup-simplify]: Simplify (* -1 -1) into 1 12.753 * [backup-simplify]: Simplify (+ 0 1) into 1 12.753 * [backup-simplify]: Simplify (sqrt 1) into 1 12.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.756 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.756 * [backup-simplify]: Simplify (+ 0 0) into 0 12.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.757 * [backup-simplify]: Simplify (sqrt 0) into 0 12.760 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.760 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 12.760 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.760 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.760 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.760 * [taylor]: Taking taylor expansion of -1 in im 12.760 * [backup-simplify]: Simplify -1 into -1 12.760 * [taylor]: Taking taylor expansion of re in im 12.760 * [backup-simplify]: Simplify re into re 12.760 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.760 * [taylor]: Taking taylor expansion of -1 in im 12.760 * [backup-simplify]: Simplify -1 into -1 12.760 * [taylor]: Taking taylor expansion of re in im 12.760 * [backup-simplify]: Simplify re into re 12.760 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.760 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.760 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.760 * [taylor]: Taking taylor expansion of -1 in im 12.760 * [backup-simplify]: Simplify -1 into -1 12.760 * [taylor]: Taking taylor expansion of im in im 12.760 * [backup-simplify]: Simplify 0 into 0 12.760 * [backup-simplify]: Simplify 1 into 1 12.761 * [backup-simplify]: Simplify (/ -1 1) into -1 12.761 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.761 * [taylor]: Taking taylor expansion of -1 in im 12.761 * [backup-simplify]: Simplify -1 into -1 12.761 * [taylor]: Taking taylor expansion of im in im 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify 1 into 1 12.761 * [backup-simplify]: Simplify (/ -1 1) into -1 12.761 * [backup-simplify]: Simplify (* -1 -1) into 1 12.762 * [backup-simplify]: Simplify (+ 0 1) into 1 12.762 * [backup-simplify]: Simplify (sqrt 1) into 1 12.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.763 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.763 * [backup-simplify]: Simplify (+ 0 0) into 0 12.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.764 * [backup-simplify]: Simplify (sqrt 0) into 0 12.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.765 * [taylor]: Taking taylor expansion of re in im 12.765 * [backup-simplify]: Simplify re into re 12.765 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.765 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 12.765 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 12.765 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 12.765 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.765 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.765 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.765 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.765 * [taylor]: Taking taylor expansion of -1 in re 12.765 * [backup-simplify]: Simplify -1 into -1 12.765 * [taylor]: Taking taylor expansion of re in re 12.765 * [backup-simplify]: Simplify 0 into 0 12.765 * [backup-simplify]: Simplify 1 into 1 12.766 * [backup-simplify]: Simplify (/ -1 1) into -1 12.766 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.766 * [taylor]: Taking taylor expansion of -1 in re 12.766 * [backup-simplify]: Simplify -1 into -1 12.766 * [taylor]: Taking taylor expansion of re in re 12.766 * [backup-simplify]: Simplify 0 into 0 12.766 * [backup-simplify]: Simplify 1 into 1 12.766 * [backup-simplify]: Simplify (/ -1 1) into -1 12.766 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.766 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.766 * [taylor]: Taking taylor expansion of -1 in re 12.766 * [backup-simplify]: Simplify -1 into -1 12.766 * [taylor]: Taking taylor expansion of im in re 12.766 * [backup-simplify]: Simplify im into im 12.766 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.766 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.766 * [taylor]: Taking taylor expansion of -1 in re 12.766 * [backup-simplify]: Simplify -1 into -1 12.766 * [taylor]: Taking taylor expansion of im in re 12.766 * [backup-simplify]: Simplify im into im 12.766 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.766 * [backup-simplify]: Simplify (* -1 -1) into 1 12.767 * [backup-simplify]: Simplify (+ 1 0) into 1 12.767 * [backup-simplify]: Simplify (sqrt 1) into 1 12.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.768 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.768 * [backup-simplify]: Simplify (+ 0 0) into 0 12.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.769 * [backup-simplify]: Simplify (sqrt 0) into 0 12.770 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.770 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.770 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.770 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.770 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.770 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.770 * [taylor]: Taking taylor expansion of -1 in re 12.770 * [backup-simplify]: Simplify -1 into -1 12.770 * [taylor]: Taking taylor expansion of re in re 12.770 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify 1 into 1 12.770 * [backup-simplify]: Simplify (/ -1 1) into -1 12.770 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.770 * [taylor]: Taking taylor expansion of -1 in re 12.771 * [backup-simplify]: Simplify -1 into -1 12.771 * [taylor]: Taking taylor expansion of re in re 12.771 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify 1 into 1 12.771 * [backup-simplify]: Simplify (/ -1 1) into -1 12.771 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.771 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.771 * [taylor]: Taking taylor expansion of -1 in re 12.771 * [backup-simplify]: Simplify -1 into -1 12.771 * [taylor]: Taking taylor expansion of im in re 12.771 * [backup-simplify]: Simplify im into im 12.771 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.771 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.771 * [taylor]: Taking taylor expansion of -1 in re 12.771 * [backup-simplify]: Simplify -1 into -1 12.771 * [taylor]: Taking taylor expansion of im in re 12.771 * [backup-simplify]: Simplify im into im 12.771 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.771 * [backup-simplify]: Simplify (* -1 -1) into 1 12.772 * [backup-simplify]: Simplify (+ 1 0) into 1 12.772 * [backup-simplify]: Simplify (sqrt 1) into 1 12.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.773 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.774 * [backup-simplify]: Simplify (+ 0 0) into 0 12.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.774 * [backup-simplify]: Simplify (sqrt 0) into 0 12.775 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.775 * [taylor]: Taking taylor expansion of re in re 12.775 * [backup-simplify]: Simplify 0 into 0 12.775 * [backup-simplify]: Simplify 1 into 1 12.775 * [backup-simplify]: Simplify (/ 1 1) into 1 12.775 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 12.776 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 12.776 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 12.776 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.776 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.776 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.776 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.776 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.776 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.776 * [taylor]: Taking taylor expansion of -1 in re 12.776 * [backup-simplify]: Simplify -1 into -1 12.776 * [taylor]: Taking taylor expansion of re in re 12.776 * [backup-simplify]: Simplify 0 into 0 12.776 * [backup-simplify]: Simplify 1 into 1 12.776 * [backup-simplify]: Simplify (/ -1 1) into -1 12.776 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.776 * [taylor]: Taking taylor expansion of -1 in re 12.776 * [backup-simplify]: Simplify -1 into -1 12.776 * [taylor]: Taking taylor expansion of re in re 12.776 * [backup-simplify]: Simplify 0 into 0 12.776 * [backup-simplify]: Simplify 1 into 1 12.776 * [backup-simplify]: Simplify (/ -1 1) into -1 12.776 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.777 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.777 * [taylor]: Taking taylor expansion of -1 in re 12.777 * [backup-simplify]: Simplify -1 into -1 12.777 * [taylor]: Taking taylor expansion of im in re 12.777 * [backup-simplify]: Simplify im into im 12.777 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.777 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.777 * [taylor]: Taking taylor expansion of -1 in re 12.777 * [backup-simplify]: Simplify -1 into -1 12.777 * [taylor]: Taking taylor expansion of im in re 12.777 * [backup-simplify]: Simplify im into im 12.777 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.777 * [backup-simplify]: Simplify (* -1 -1) into 1 12.777 * [backup-simplify]: Simplify (+ 1 0) into 1 12.777 * [backup-simplify]: Simplify (sqrt 1) into 1 12.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.779 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.779 * [backup-simplify]: Simplify (+ 0 0) into 0 12.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.780 * [backup-simplify]: Simplify (sqrt 0) into 0 12.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.781 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.781 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.781 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.781 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.781 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.781 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.781 * [taylor]: Taking taylor expansion of -1 in re 12.781 * [backup-simplify]: Simplify -1 into -1 12.781 * [taylor]: Taking taylor expansion of re in re 12.781 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify 1 into 1 12.781 * [backup-simplify]: Simplify (/ -1 1) into -1 12.781 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.781 * [taylor]: Taking taylor expansion of -1 in re 12.781 * [backup-simplify]: Simplify -1 into -1 12.781 * [taylor]: Taking taylor expansion of re in re 12.781 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify 1 into 1 12.782 * [backup-simplify]: Simplify (/ -1 1) into -1 12.782 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.782 * [taylor]: Taking taylor expansion of -1 in re 12.782 * [backup-simplify]: Simplify -1 into -1 12.782 * [taylor]: Taking taylor expansion of im in re 12.782 * [backup-simplify]: Simplify im into im 12.782 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.782 * [taylor]: Taking taylor expansion of -1 in re 12.782 * [backup-simplify]: Simplify -1 into -1 12.782 * [taylor]: Taking taylor expansion of im in re 12.782 * [backup-simplify]: Simplify im into im 12.782 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.782 * [backup-simplify]: Simplify (* -1 -1) into 1 12.783 * [backup-simplify]: Simplify (+ 1 0) into 1 12.783 * [backup-simplify]: Simplify (sqrt 1) into 1 12.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.784 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.784 * [backup-simplify]: Simplify (+ 0 0) into 0 12.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.785 * [backup-simplify]: Simplify (sqrt 0) into 0 12.786 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.786 * [taylor]: Taking taylor expansion of re in re 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify 1 into 1 12.786 * [backup-simplify]: Simplify (/ 1 1) into 1 12.786 * [backup-simplify]: Simplify (* 0 0) into 0 12.787 * [backup-simplify]: Simplify (+ 0 0) into 0 12.787 * [taylor]: Taking taylor expansion of 0 in im 12.787 * [backup-simplify]: Simplify 0 into 0 12.787 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 12.787 * [backup-simplify]: Simplify (+ 0 1) into 1 12.787 * [taylor]: Taking taylor expansion of 1 in im 12.787 * [backup-simplify]: Simplify 1 into 1 12.789 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.791 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.792 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 12.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.794 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.794 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.794 * [taylor]: Taking taylor expansion of +nan.0 in im 12.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.794 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.797 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.797 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 12.797 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.801 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.804 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 12.804 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.805 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.807 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.809 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 12.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.811 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.811 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.811 * [taylor]: Taking taylor expansion of +nan.0 in im 12.811 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.811 * [backup-simplify]: Simplify 1 into 1 12.811 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.814 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 12.814 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.814 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.815 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 12.815 * [backup-simplify]: Simplify (+ 0 0) into 0 12.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.817 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 12.819 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.819 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.819 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 12.819 * [backup-simplify]: Simplify (+ 0 0) into 0 12.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.820 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.822 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.823 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.823 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 12.823 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 12.823 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 12.823 * [taylor]: Taking taylor expansion of +nan.0 in im 12.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.823 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.823 * [taylor]: Taking taylor expansion of im in im 12.823 * [backup-simplify]: Simplify 0 into 0 12.823 * [backup-simplify]: Simplify 1 into 1 12.823 * [backup-simplify]: Simplify (* 1 1) into 1 12.823 * [backup-simplify]: Simplify (/ 1 1) into 1 12.823 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.823 * [taylor]: Taking taylor expansion of +nan.0 in im 12.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.824 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 12.824 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 12.825 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 12.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.826 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 12.826 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 1 1) 12.826 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 12.826 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 12.826 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 12.826 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 12.826 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 12.826 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 12.826 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.826 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.827 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.827 * [taylor]: Taking taylor expansion of (* re re) in im 12.827 * [taylor]: Taking taylor expansion of re in im 12.827 * [backup-simplify]: Simplify re into re 12.827 * [taylor]: Taking taylor expansion of re in im 12.827 * [backup-simplify]: Simplify re into re 12.827 * [taylor]: Taking taylor expansion of (* im im) in im 12.827 * [taylor]: Taking taylor expansion of im in im 12.827 * [backup-simplify]: Simplify 0 into 0 12.827 * [backup-simplify]: Simplify 1 into 1 12.827 * [taylor]: Taking taylor expansion of im in im 12.827 * [backup-simplify]: Simplify 0 into 0 12.827 * [backup-simplify]: Simplify 1 into 1 12.827 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.827 * [backup-simplify]: Simplify (* 0 0) into 0 12.827 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.827 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.827 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.828 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.828 * [backup-simplify]: Simplify (+ 0 0) into 0 12.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.828 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 12.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 12.828 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 12.828 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.828 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.828 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.828 * [taylor]: Taking taylor expansion of (* re re) in im 12.828 * [taylor]: Taking taylor expansion of re in im 12.828 * [backup-simplify]: Simplify re into re 12.828 * [taylor]: Taking taylor expansion of re in im 12.828 * [backup-simplify]: Simplify re into re 12.828 * [taylor]: Taking taylor expansion of (* im im) in im 12.828 * [taylor]: Taking taylor expansion of im in im 12.828 * [backup-simplify]: Simplify 0 into 0 12.828 * [backup-simplify]: Simplify 1 into 1 12.828 * [taylor]: Taking taylor expansion of im in im 12.828 * [backup-simplify]: Simplify 0 into 0 12.828 * [backup-simplify]: Simplify 1 into 1 12.828 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.829 * [backup-simplify]: Simplify (* 0 0) into 0 12.829 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.829 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.829 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.829 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.829 * [backup-simplify]: Simplify (+ 0 0) into 0 12.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.830 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 12.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 12.830 * [taylor]: Taking taylor expansion of (- re) in im 12.830 * [taylor]: Taking taylor expansion of re in im 12.830 * [backup-simplify]: Simplify re into re 12.830 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 12.830 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 12.830 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 12.830 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.830 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.830 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.830 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.830 * [taylor]: Taking taylor expansion of (* re re) in re 12.830 * [taylor]: Taking taylor expansion of re in re 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify 1 into 1 12.830 * [taylor]: Taking taylor expansion of re in re 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify 1 into 1 12.830 * [taylor]: Taking taylor expansion of (* im im) in re 12.830 * [taylor]: Taking taylor expansion of im in re 12.830 * [backup-simplify]: Simplify im into im 12.830 * [taylor]: Taking taylor expansion of im in re 12.830 * [backup-simplify]: Simplify im into im 12.830 * [backup-simplify]: Simplify (* 0 0) into 0 12.830 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.831 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.831 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.831 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.831 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.831 * [backup-simplify]: Simplify (+ 0 0) into 0 12.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.831 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.831 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.832 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.832 * [taylor]: Taking taylor expansion of (* re re) in re 12.832 * [taylor]: Taking taylor expansion of re in re 12.832 * [backup-simplify]: Simplify 0 into 0 12.832 * [backup-simplify]: Simplify 1 into 1 12.832 * [taylor]: Taking taylor expansion of re in re 12.832 * [backup-simplify]: Simplify 0 into 0 12.832 * [backup-simplify]: Simplify 1 into 1 12.832 * [taylor]: Taking taylor expansion of (* im im) in re 12.832 * [taylor]: Taking taylor expansion of im in re 12.832 * [backup-simplify]: Simplify im into im 12.832 * [taylor]: Taking taylor expansion of im in re 12.832 * [backup-simplify]: Simplify im into im 12.832 * [backup-simplify]: Simplify (* 0 0) into 0 12.832 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.832 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.833 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.833 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.833 * [backup-simplify]: Simplify (+ 0 0) into 0 12.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.833 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.833 * [taylor]: Taking taylor expansion of (- re) in re 12.833 * [taylor]: Taking taylor expansion of re in re 12.833 * [backup-simplify]: Simplify 0 into 0 12.833 * [backup-simplify]: Simplify 1 into 1 12.833 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 12.833 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 12.833 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 12.833 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.833 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.833 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.833 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.833 * [taylor]: Taking taylor expansion of (* re re) in re 12.833 * [taylor]: Taking taylor expansion of re in re 12.833 * [backup-simplify]: Simplify 0 into 0 12.833 * [backup-simplify]: Simplify 1 into 1 12.833 * [taylor]: Taking taylor expansion of re in re 12.834 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify 1 into 1 12.834 * [taylor]: Taking taylor expansion of (* im im) in re 12.834 * [taylor]: Taking taylor expansion of im in re 12.834 * [backup-simplify]: Simplify im into im 12.834 * [taylor]: Taking taylor expansion of im in re 12.834 * [backup-simplify]: Simplify im into im 12.834 * [backup-simplify]: Simplify (* 0 0) into 0 12.834 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.834 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.834 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.834 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.835 * [backup-simplify]: Simplify (+ 0 0) into 0 12.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.835 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.835 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.835 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.835 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.835 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.835 * [taylor]: Taking taylor expansion of (* re re) in re 12.835 * [taylor]: Taking taylor expansion of re in re 12.835 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify 1 into 1 12.835 * [taylor]: Taking taylor expansion of re in re 12.835 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify 1 into 1 12.835 * [taylor]: Taking taylor expansion of (* im im) in re 12.835 * [taylor]: Taking taylor expansion of im in re 12.835 * [backup-simplify]: Simplify im into im 12.835 * [taylor]: Taking taylor expansion of im in re 12.835 * [backup-simplify]: Simplify im into im 12.835 * [backup-simplify]: Simplify (* 0 0) into 0 12.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.836 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.836 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.836 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.836 * [backup-simplify]: Simplify (+ 0 0) into 0 12.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.836 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.837 * [taylor]: Taking taylor expansion of (- re) in re 12.837 * [taylor]: Taking taylor expansion of re in re 12.837 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify 1 into 1 12.837 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 12.837 * [backup-simplify]: Simplify (- 0) into 0 12.837 * [backup-simplify]: Simplify (+ im 0) into im 12.837 * [taylor]: Taking taylor expansion of im in im 12.837 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify 1 into 1 12.837 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 12.837 * [backup-simplify]: Simplify (- 1) into -1 12.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.838 * [taylor]: Taking taylor expansion of -1 in im 12.838 * [backup-simplify]: Simplify -1 into -1 12.838 * [backup-simplify]: Simplify -1 into -1 12.838 * [backup-simplify]: Simplify 1 into 1 12.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.838 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.839 * [backup-simplify]: Simplify (+ 1 0) into 1 12.839 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.840 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 12.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.841 * [backup-simplify]: Simplify (+ 1 0) into 1 12.841 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.842 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 12.842 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 12.842 * [backup-simplify]: Simplify (- 0) into 0 12.842 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 12.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 12.843 * [taylor]: Taking taylor expansion of 1/2 in im 12.843 * [backup-simplify]: Simplify 1/2 into 1/2 12.843 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.843 * [taylor]: Taking taylor expansion of im in im 12.843 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify 1 into 1 12.843 * [backup-simplify]: Simplify (/ 1 1) into 1 12.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.845 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.845 * [backup-simplify]: Simplify (+ 0 0) into 0 12.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 12.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.847 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.847 * [backup-simplify]: Simplify (+ 0 0) into 0 12.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 12.847 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 12.848 * [backup-simplify]: Simplify (- 0) into 0 12.848 * [backup-simplify]: Simplify (+ 0 0) into 0 12.848 * [taylor]: Taking taylor expansion of 0 in im 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 12.849 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 12.849 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 12.849 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 12.850 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 12.850 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 12.850 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 12.850 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.850 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.850 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.850 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.850 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.850 * [taylor]: Taking taylor expansion of re in im 12.850 * [backup-simplify]: Simplify re into re 12.850 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.850 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.850 * [taylor]: Taking taylor expansion of re in im 12.850 * [backup-simplify]: Simplify re into re 12.850 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.850 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.850 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.850 * [taylor]: Taking taylor expansion of im in im 12.850 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify 1 into 1 12.850 * [backup-simplify]: Simplify (/ 1 1) into 1 12.850 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.850 * [taylor]: Taking taylor expansion of im in im 12.850 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify 1 into 1 12.851 * [backup-simplify]: Simplify (/ 1 1) into 1 12.851 * [backup-simplify]: Simplify (* 1 1) into 1 12.851 * [backup-simplify]: Simplify (+ 0 1) into 1 12.851 * [backup-simplify]: Simplify (sqrt 1) into 1 12.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.854 * [backup-simplify]: Simplify (+ 0 0) into 0 12.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.855 * [backup-simplify]: Simplify (sqrt 0) into 0 12.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.856 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 12.856 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.856 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.856 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.857 * [taylor]: Taking taylor expansion of re in im 12.857 * [backup-simplify]: Simplify re into re 12.857 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.857 * [taylor]: Taking taylor expansion of re in im 12.857 * [backup-simplify]: Simplify re into re 12.857 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.857 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.857 * [taylor]: Taking taylor expansion of im in im 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 1 into 1 12.857 * [backup-simplify]: Simplify (/ 1 1) into 1 12.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.857 * [taylor]: Taking taylor expansion of im in im 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 1 into 1 12.858 * [backup-simplify]: Simplify (/ 1 1) into 1 12.858 * [backup-simplify]: Simplify (* 1 1) into 1 12.859 * [backup-simplify]: Simplify (+ 0 1) into 1 12.859 * [backup-simplify]: Simplify (sqrt 1) into 1 12.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.862 * [backup-simplify]: Simplify (+ 0 0) into 0 12.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.863 * [backup-simplify]: Simplify (sqrt 0) into 0 12.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.867 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 12.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.867 * [taylor]: Taking taylor expansion of re in im 12.867 * [backup-simplify]: Simplify re into re 12.867 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.867 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 12.867 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 12.867 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 12.867 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.868 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.868 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.868 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.868 * [taylor]: Taking taylor expansion of re in re 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 1 into 1 12.868 * [backup-simplify]: Simplify (/ 1 1) into 1 12.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.868 * [taylor]: Taking taylor expansion of re in re 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 1 into 1 12.869 * [backup-simplify]: Simplify (/ 1 1) into 1 12.869 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.869 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.869 * [taylor]: Taking taylor expansion of im in re 12.869 * [backup-simplify]: Simplify im into im 12.869 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.869 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.869 * [taylor]: Taking taylor expansion of im in re 12.869 * [backup-simplify]: Simplify im into im 12.869 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.869 * [backup-simplify]: Simplify (* 1 1) into 1 12.870 * [backup-simplify]: Simplify (+ 1 0) into 1 12.870 * [backup-simplify]: Simplify (sqrt 1) into 1 12.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.874 * [backup-simplify]: Simplify (+ 0 0) into 0 12.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.875 * [backup-simplify]: Simplify (sqrt 0) into 0 12.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.876 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.876 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.877 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.877 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.877 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.877 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.877 * [taylor]: Taking taylor expansion of re in re 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 1 into 1 12.877 * [backup-simplify]: Simplify (/ 1 1) into 1 12.877 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.877 * [taylor]: Taking taylor expansion of re in re 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 1 into 1 12.878 * [backup-simplify]: Simplify (/ 1 1) into 1 12.878 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.878 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.878 * [taylor]: Taking taylor expansion of im in re 12.878 * [backup-simplify]: Simplify im into im 12.878 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.878 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.878 * [taylor]: Taking taylor expansion of im in re 12.878 * [backup-simplify]: Simplify im into im 12.878 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.878 * [backup-simplify]: Simplify (* 1 1) into 1 12.879 * [backup-simplify]: Simplify (+ 1 0) into 1 12.879 * [backup-simplify]: Simplify (sqrt 1) into 1 12.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.881 * [backup-simplify]: Simplify (+ 0 0) into 0 12.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.882 * [backup-simplify]: Simplify (sqrt 0) into 0 12.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.883 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 12.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.883 * [taylor]: Taking taylor expansion of re in re 12.883 * [backup-simplify]: Simplify 0 into 0 12.883 * [backup-simplify]: Simplify 1 into 1 12.883 * [backup-simplify]: Simplify (/ 1 1) into 1 12.883 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 12.883 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 12.883 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 12.883 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.883 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.884 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.884 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.884 * [taylor]: Taking taylor expansion of re in re 12.884 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify 1 into 1 12.884 * [backup-simplify]: Simplify (/ 1 1) into 1 12.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.884 * [taylor]: Taking taylor expansion of re in re 12.884 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify 1 into 1 12.884 * [backup-simplify]: Simplify (/ 1 1) into 1 12.884 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.884 * [taylor]: Taking taylor expansion of im in re 12.884 * [backup-simplify]: Simplify im into im 12.884 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.884 * [taylor]: Taking taylor expansion of im in re 12.884 * [backup-simplify]: Simplify im into im 12.884 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.885 * [backup-simplify]: Simplify (* 1 1) into 1 12.885 * [backup-simplify]: Simplify (+ 1 0) into 1 12.885 * [backup-simplify]: Simplify (sqrt 1) into 1 12.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.887 * [backup-simplify]: Simplify (+ 0 0) into 0 12.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.887 * [backup-simplify]: Simplify (sqrt 0) into 0 12.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.888 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.888 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.888 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.888 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.888 * [taylor]: Taking taylor expansion of re in re 12.888 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify 1 into 1 12.889 * [backup-simplify]: Simplify (/ 1 1) into 1 12.889 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.889 * [taylor]: Taking taylor expansion of re in re 12.889 * [backup-simplify]: Simplify 0 into 0 12.889 * [backup-simplify]: Simplify 1 into 1 12.889 * [backup-simplify]: Simplify (/ 1 1) into 1 12.889 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.889 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.889 * [taylor]: Taking taylor expansion of im in re 12.889 * [backup-simplify]: Simplify im into im 12.889 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.889 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.889 * [taylor]: Taking taylor expansion of im in re 12.889 * [backup-simplify]: Simplify im into im 12.889 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.889 * [backup-simplify]: Simplify (* 1 1) into 1 12.890 * [backup-simplify]: Simplify (+ 1 0) into 1 12.890 * [backup-simplify]: Simplify (sqrt 1) into 1 12.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.891 * [backup-simplify]: Simplify (+ 0 0) into 0 12.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.892 * [backup-simplify]: Simplify (sqrt 0) into 0 12.893 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.893 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 12.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.893 * [taylor]: Taking taylor expansion of re in re 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 1 into 1 12.893 * [backup-simplify]: Simplify (/ 1 1) into 1 12.893 * [backup-simplify]: Simplify (* 0 0) into 0 12.894 * [backup-simplify]: Simplify (+ 0 0) into 0 12.894 * [taylor]: Taking taylor expansion of 0 in im 12.894 * [backup-simplify]: Simplify 0 into 0 12.894 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 12.894 * [backup-simplify]: Simplify (- 1) into -1 12.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.895 * [taylor]: Taking taylor expansion of -1 in im 12.895 * [backup-simplify]: Simplify -1 into -1 12.896 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.898 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.900 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 12.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.900 * [backup-simplify]: Simplify (- 0) into 0 12.901 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.901 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.901 * [taylor]: Taking taylor expansion of +nan.0 in im 12.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.901 * [backup-simplify]: Simplify 0 into 0 12.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.902 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.903 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.905 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.906 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.906 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.908 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.909 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 12.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.911 * [backup-simplify]: Simplify (- 0) into 0 12.912 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.912 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.912 * [taylor]: Taking taylor expansion of +nan.0 in im 12.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.912 * [backup-simplify]: Simplify -1 into -1 12.912 * [backup-simplify]: Simplify 0 into 0 12.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.915 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.916 * [backup-simplify]: Simplify (+ 0 0) into 0 12.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.918 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.921 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.921 * [backup-simplify]: Simplify (+ 0 0) into 0 12.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.923 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.925 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.926 * [backup-simplify]: Simplify (- 0) into 0 12.926 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.926 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 12.926 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 12.926 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 12.926 * [taylor]: Taking taylor expansion of +nan.0 in im 12.926 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.926 * [taylor]: Taking taylor expansion of im in im 12.926 * [backup-simplify]: Simplify 0 into 0 12.927 * [backup-simplify]: Simplify 1 into 1 12.927 * [backup-simplify]: Simplify (* 1 1) into 1 12.927 * [backup-simplify]: Simplify (/ 1 1) into 1 12.927 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.927 * [taylor]: Taking taylor expansion of +nan.0 in im 12.927 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.927 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 12.928 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 12.928 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 12.928 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.929 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.929 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.930 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 12.930 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 12.930 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 12.930 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 12.930 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 12.930 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 12.930 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 12.930 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.930 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.930 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.930 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.930 * [taylor]: Taking taylor expansion of -1 in im 12.930 * [backup-simplify]: Simplify -1 into -1 12.930 * [taylor]: Taking taylor expansion of re in im 12.930 * [backup-simplify]: Simplify re into re 12.930 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.930 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.930 * [taylor]: Taking taylor expansion of -1 in im 12.930 * [backup-simplify]: Simplify -1 into -1 12.930 * [taylor]: Taking taylor expansion of re in im 12.930 * [backup-simplify]: Simplify re into re 12.930 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.930 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.930 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.930 * [taylor]: Taking taylor expansion of -1 in im 12.930 * [backup-simplify]: Simplify -1 into -1 12.930 * [taylor]: Taking taylor expansion of im in im 12.930 * [backup-simplify]: Simplify 0 into 0 12.930 * [backup-simplify]: Simplify 1 into 1 12.931 * [backup-simplify]: Simplify (/ -1 1) into -1 12.931 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.931 * [taylor]: Taking taylor expansion of -1 in im 12.931 * [backup-simplify]: Simplify -1 into -1 12.931 * [taylor]: Taking taylor expansion of im in im 12.931 * [backup-simplify]: Simplify 0 into 0 12.931 * [backup-simplify]: Simplify 1 into 1 12.931 * [backup-simplify]: Simplify (/ -1 1) into -1 12.931 * [backup-simplify]: Simplify (* -1 -1) into 1 12.932 * [backup-simplify]: Simplify (+ 0 1) into 1 12.932 * [backup-simplify]: Simplify (sqrt 1) into 1 12.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.933 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.934 * [backup-simplify]: Simplify (+ 0 0) into 0 12.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.934 * [backup-simplify]: Simplify (sqrt 0) into 0 12.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.935 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 12.935 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.935 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.935 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.935 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.935 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.935 * [taylor]: Taking taylor expansion of -1 in im 12.935 * [backup-simplify]: Simplify -1 into -1 12.935 * [taylor]: Taking taylor expansion of re in im 12.935 * [backup-simplify]: Simplify re into re 12.935 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.935 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.935 * [taylor]: Taking taylor expansion of -1 in im 12.935 * [backup-simplify]: Simplify -1 into -1 12.935 * [taylor]: Taking taylor expansion of re in im 12.935 * [backup-simplify]: Simplify re into re 12.936 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.936 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.936 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.936 * [taylor]: Taking taylor expansion of -1 in im 12.936 * [backup-simplify]: Simplify -1 into -1 12.936 * [taylor]: Taking taylor expansion of im in im 12.936 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify 1 into 1 12.936 * [backup-simplify]: Simplify (/ -1 1) into -1 12.936 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.936 * [taylor]: Taking taylor expansion of -1 in im 12.936 * [backup-simplify]: Simplify -1 into -1 12.936 * [taylor]: Taking taylor expansion of im in im 12.936 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify 1 into 1 12.936 * [backup-simplify]: Simplify (/ -1 1) into -1 12.936 * [backup-simplify]: Simplify (* -1 -1) into 1 12.937 * [backup-simplify]: Simplify (+ 0 1) into 1 12.937 * [backup-simplify]: Simplify (sqrt 1) into 1 12.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.938 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.939 * [backup-simplify]: Simplify (+ 0 0) into 0 12.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.939 * [backup-simplify]: Simplify (sqrt 0) into 0 12.940 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.940 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.940 * [taylor]: Taking taylor expansion of re in im 12.940 * [backup-simplify]: Simplify re into re 12.940 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.940 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 12.940 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 12.940 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 12.940 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.940 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.940 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.940 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.940 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.940 * [taylor]: Taking taylor expansion of -1 in re 12.941 * [backup-simplify]: Simplify -1 into -1 12.941 * [taylor]: Taking taylor expansion of re in re 12.941 * [backup-simplify]: Simplify 0 into 0 12.941 * [backup-simplify]: Simplify 1 into 1 12.941 * [backup-simplify]: Simplify (/ -1 1) into -1 12.941 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.941 * [taylor]: Taking taylor expansion of -1 in re 12.941 * [backup-simplify]: Simplify -1 into -1 12.941 * [taylor]: Taking taylor expansion of re in re 12.941 * [backup-simplify]: Simplify 0 into 0 12.941 * [backup-simplify]: Simplify 1 into 1 12.941 * [backup-simplify]: Simplify (/ -1 1) into -1 12.941 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.941 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.941 * [taylor]: Taking taylor expansion of -1 in re 12.941 * [backup-simplify]: Simplify -1 into -1 12.941 * [taylor]: Taking taylor expansion of im in re 12.941 * [backup-simplify]: Simplify im into im 12.941 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.941 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.941 * [taylor]: Taking taylor expansion of -1 in re 12.941 * [backup-simplify]: Simplify -1 into -1 12.941 * [taylor]: Taking taylor expansion of im in re 12.941 * [backup-simplify]: Simplify im into im 12.941 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.942 * [backup-simplify]: Simplify (* -1 -1) into 1 12.942 * [backup-simplify]: Simplify (+ 1 0) into 1 12.942 * [backup-simplify]: Simplify (sqrt 1) into 1 12.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.944 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.944 * [backup-simplify]: Simplify (+ 0 0) into 0 12.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.945 * [backup-simplify]: Simplify (sqrt 0) into 0 12.945 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.945 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.945 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.946 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.946 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.946 * [taylor]: Taking taylor expansion of -1 in re 12.946 * [backup-simplify]: Simplify -1 into -1 12.946 * [taylor]: Taking taylor expansion of re in re 12.946 * [backup-simplify]: Simplify 0 into 0 12.946 * [backup-simplify]: Simplify 1 into 1 12.946 * [backup-simplify]: Simplify (/ -1 1) into -1 12.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.946 * [taylor]: Taking taylor expansion of -1 in re 12.946 * [backup-simplify]: Simplify -1 into -1 12.946 * [taylor]: Taking taylor expansion of re in re 12.946 * [backup-simplify]: Simplify 0 into 0 12.946 * [backup-simplify]: Simplify 1 into 1 12.946 * [backup-simplify]: Simplify (/ -1 1) into -1 12.946 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.946 * [taylor]: Taking taylor expansion of -1 in re 12.946 * [backup-simplify]: Simplify -1 into -1 12.946 * [taylor]: Taking taylor expansion of im in re 12.946 * [backup-simplify]: Simplify im into im 12.946 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.947 * [taylor]: Taking taylor expansion of -1 in re 12.947 * [backup-simplify]: Simplify -1 into -1 12.947 * [taylor]: Taking taylor expansion of im in re 12.947 * [backup-simplify]: Simplify im into im 12.947 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.947 * [backup-simplify]: Simplify (* -1 -1) into 1 12.947 * [backup-simplify]: Simplify (+ 1 0) into 1 12.947 * [backup-simplify]: Simplify (sqrt 1) into 1 12.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.949 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.949 * [backup-simplify]: Simplify (+ 0 0) into 0 12.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.950 * [backup-simplify]: Simplify (sqrt 0) into 0 12.950 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.950 * [taylor]: Taking taylor expansion of re in re 12.950 * [backup-simplify]: Simplify 0 into 0 12.950 * [backup-simplify]: Simplify 1 into 1 12.951 * [backup-simplify]: Simplify (/ 1 1) into 1 12.951 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 12.951 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 12.951 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 12.951 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.951 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.951 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.951 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.951 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.951 * [taylor]: Taking taylor expansion of -1 in re 12.951 * [backup-simplify]: Simplify -1 into -1 12.951 * [taylor]: Taking taylor expansion of re in re 12.951 * [backup-simplify]: Simplify 0 into 0 12.951 * [backup-simplify]: Simplify 1 into 1 12.951 * [backup-simplify]: Simplify (/ -1 1) into -1 12.951 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.951 * [taylor]: Taking taylor expansion of -1 in re 12.951 * [backup-simplify]: Simplify -1 into -1 12.951 * [taylor]: Taking taylor expansion of re in re 12.951 * [backup-simplify]: Simplify 0 into 0 12.951 * [backup-simplify]: Simplify 1 into 1 12.952 * [backup-simplify]: Simplify (/ -1 1) into -1 12.952 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.952 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.952 * [taylor]: Taking taylor expansion of -1 in re 12.952 * [backup-simplify]: Simplify -1 into -1 12.952 * [taylor]: Taking taylor expansion of im in re 12.952 * [backup-simplify]: Simplify im into im 12.952 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.952 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.952 * [taylor]: Taking taylor expansion of -1 in re 12.952 * [backup-simplify]: Simplify -1 into -1 12.952 * [taylor]: Taking taylor expansion of im in re 12.952 * [backup-simplify]: Simplify im into im 12.952 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.952 * [backup-simplify]: Simplify (* -1 -1) into 1 12.953 * [backup-simplify]: Simplify (+ 1 0) into 1 12.953 * [backup-simplify]: Simplify (sqrt 1) into 1 12.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.954 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.954 * [backup-simplify]: Simplify (+ 0 0) into 0 12.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.955 * [backup-simplify]: Simplify (sqrt 0) into 0 12.956 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.956 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.956 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.956 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.956 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.956 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.956 * [taylor]: Taking taylor expansion of -1 in re 12.957 * [backup-simplify]: Simplify -1 into -1 12.957 * [taylor]: Taking taylor expansion of re in re 12.957 * [backup-simplify]: Simplify 0 into 0 12.957 * [backup-simplify]: Simplify 1 into 1 12.957 * [backup-simplify]: Simplify (/ -1 1) into -1 12.957 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.957 * [taylor]: Taking taylor expansion of -1 in re 12.957 * [backup-simplify]: Simplify -1 into -1 12.957 * [taylor]: Taking taylor expansion of re in re 12.957 * [backup-simplify]: Simplify 0 into 0 12.957 * [backup-simplify]: Simplify 1 into 1 12.957 * [backup-simplify]: Simplify (/ -1 1) into -1 12.957 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.957 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.957 * [taylor]: Taking taylor expansion of -1 in re 12.957 * [backup-simplify]: Simplify -1 into -1 12.957 * [taylor]: Taking taylor expansion of im in re 12.957 * [backup-simplify]: Simplify im into im 12.957 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.957 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.957 * [taylor]: Taking taylor expansion of -1 in re 12.957 * [backup-simplify]: Simplify -1 into -1 12.957 * [taylor]: Taking taylor expansion of im in re 12.957 * [backup-simplify]: Simplify im into im 12.957 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.958 * [backup-simplify]: Simplify (* -1 -1) into 1 12.958 * [backup-simplify]: Simplify (+ 1 0) into 1 12.958 * [backup-simplify]: Simplify (sqrt 1) into 1 12.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.960 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.960 * [backup-simplify]: Simplify (+ 0 0) into 0 12.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.960 * [backup-simplify]: Simplify (sqrt 0) into 0 12.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.962 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.962 * [taylor]: Taking taylor expansion of re in re 12.962 * [backup-simplify]: Simplify 0 into 0 12.962 * [backup-simplify]: Simplify 1 into 1 12.962 * [backup-simplify]: Simplify (/ 1 1) into 1 12.963 * [backup-simplify]: Simplify (* 0 0) into 0 12.963 * [backup-simplify]: Simplify (+ 0 0) into 0 12.963 * [taylor]: Taking taylor expansion of 0 in im 12.963 * [backup-simplify]: Simplify 0 into 0 12.964 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 12.964 * [backup-simplify]: Simplify (+ 0 1) into 1 12.964 * [taylor]: Taking taylor expansion of 1 in im 12.964 * [backup-simplify]: Simplify 1 into 1 12.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.970 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.975 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 12.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.977 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.977 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.977 * [taylor]: Taking taylor expansion of +nan.0 in im 12.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.977 * [backup-simplify]: Simplify 0 into 0 12.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.980 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.980 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 12.980 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.982 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.985 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.987 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.988 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 12.988 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.989 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.991 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.993 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 12.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.994 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.994 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.994 * [taylor]: Taking taylor expansion of +nan.0 in im 12.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.994 * [backup-simplify]: Simplify 1 into 1 12.994 * [backup-simplify]: Simplify 0 into 0 12.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 12.998 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.998 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.998 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 12.998 * [backup-simplify]: Simplify (+ 0 0) into 0 12.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.000 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.002 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.002 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.002 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.002 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.003 * [backup-simplify]: Simplify (+ 0 0) into 0 13.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.004 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.006 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.007 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.007 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 13.007 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 13.007 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 13.007 * [taylor]: Taking taylor expansion of +nan.0 in im 13.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.007 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.007 * [taylor]: Taking taylor expansion of im in im 13.007 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify 1 into 1 13.007 * [backup-simplify]: Simplify (* 1 1) into 1 13.007 * [backup-simplify]: Simplify (/ 1 1) into 1 13.007 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.007 * [taylor]: Taking taylor expansion of +nan.0 in im 13.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.008 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 13.008 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 13.008 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 13.009 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.009 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.009 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.010 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 13.010 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 13.010 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 13.010 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 13.010 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 13.010 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 13.010 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 13.011 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 13.011 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.011 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.011 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.011 * [taylor]: Taking taylor expansion of (* re re) in im 13.011 * [taylor]: Taking taylor expansion of re in im 13.011 * [backup-simplify]: Simplify re into re 13.011 * [taylor]: Taking taylor expansion of re in im 13.011 * [backup-simplify]: Simplify re into re 13.011 * [taylor]: Taking taylor expansion of (* im im) in im 13.011 * [taylor]: Taking taylor expansion of im in im 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify 1 into 1 13.011 * [taylor]: Taking taylor expansion of im in im 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify 1 into 1 13.011 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.011 * [backup-simplify]: Simplify (* 0 0) into 0 13.011 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.011 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.011 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.012 * [backup-simplify]: Simplify (+ 0 0) into 0 13.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.012 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 13.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 13.012 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 13.012 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.012 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.012 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.012 * [taylor]: Taking taylor expansion of (* re re) in im 13.012 * [taylor]: Taking taylor expansion of re in im 13.012 * [backup-simplify]: Simplify re into re 13.012 * [taylor]: Taking taylor expansion of re in im 13.012 * [backup-simplify]: Simplify re into re 13.012 * [taylor]: Taking taylor expansion of (* im im) in im 13.012 * [taylor]: Taking taylor expansion of im in im 13.012 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify 1 into 1 13.012 * [taylor]: Taking taylor expansion of im in im 13.012 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify 1 into 1 13.012 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.013 * [backup-simplify]: Simplify (* 0 0) into 0 13.013 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.013 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.013 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.013 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.014 * [backup-simplify]: Simplify (+ 0 0) into 0 13.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.014 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 13.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 13.014 * [taylor]: Taking taylor expansion of (- re) in im 13.014 * [taylor]: Taking taylor expansion of re in im 13.014 * [backup-simplify]: Simplify re into re 13.014 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 13.014 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 13.014 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 13.014 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.014 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.014 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.014 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.014 * [taylor]: Taking taylor expansion of (* re re) in re 13.014 * [taylor]: Taking taylor expansion of re in re 13.014 * [backup-simplify]: Simplify 0 into 0 13.014 * [backup-simplify]: Simplify 1 into 1 13.014 * [taylor]: Taking taylor expansion of re in re 13.014 * [backup-simplify]: Simplify 0 into 0 13.014 * [backup-simplify]: Simplify 1 into 1 13.014 * [taylor]: Taking taylor expansion of (* im im) in re 13.014 * [taylor]: Taking taylor expansion of im in re 13.014 * [backup-simplify]: Simplify im into im 13.014 * [taylor]: Taking taylor expansion of im in re 13.014 * [backup-simplify]: Simplify im into im 13.014 * [backup-simplify]: Simplify (* 0 0) into 0 13.015 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.015 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.015 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.015 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.015 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.015 * [backup-simplify]: Simplify (+ 0 0) into 0 13.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.016 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.016 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.016 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.016 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.016 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.016 * [taylor]: Taking taylor expansion of (* re re) in re 13.016 * [taylor]: Taking taylor expansion of re in re 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 1 into 1 13.016 * [taylor]: Taking taylor expansion of re in re 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 1 into 1 13.016 * [taylor]: Taking taylor expansion of (* im im) in re 13.016 * [taylor]: Taking taylor expansion of im in re 13.016 * [backup-simplify]: Simplify im into im 13.016 * [taylor]: Taking taylor expansion of im in re 13.016 * [backup-simplify]: Simplify im into im 13.016 * [backup-simplify]: Simplify (* 0 0) into 0 13.016 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.016 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.016 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.017 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.017 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.017 * [backup-simplify]: Simplify (+ 0 0) into 0 13.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.017 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.017 * [taylor]: Taking taylor expansion of (- re) in re 13.017 * [taylor]: Taking taylor expansion of re in re 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify 1 into 1 13.017 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 13.017 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 13.017 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 13.017 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.017 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.017 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.018 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.018 * [taylor]: Taking taylor expansion of (* re re) in re 13.018 * [taylor]: Taking taylor expansion of re in re 13.018 * [backup-simplify]: Simplify 0 into 0 13.018 * [backup-simplify]: Simplify 1 into 1 13.018 * [taylor]: Taking taylor expansion of re in re 13.018 * [backup-simplify]: Simplify 0 into 0 13.018 * [backup-simplify]: Simplify 1 into 1 13.018 * [taylor]: Taking taylor expansion of (* im im) in re 13.018 * [taylor]: Taking taylor expansion of im in re 13.018 * [backup-simplify]: Simplify im into im 13.018 * [taylor]: Taking taylor expansion of im in re 13.018 * [backup-simplify]: Simplify im into im 13.018 * [backup-simplify]: Simplify (* 0 0) into 0 13.018 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.018 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.018 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.019 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.019 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.019 * [backup-simplify]: Simplify (+ 0 0) into 0 13.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.019 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.019 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.019 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.019 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.019 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.019 * [taylor]: Taking taylor expansion of (* re re) in re 13.019 * [taylor]: Taking taylor expansion of re in re 13.019 * [backup-simplify]: Simplify 0 into 0 13.019 * [backup-simplify]: Simplify 1 into 1 13.019 * [taylor]: Taking taylor expansion of re in re 13.019 * [backup-simplify]: Simplify 0 into 0 13.019 * [backup-simplify]: Simplify 1 into 1 13.019 * [taylor]: Taking taylor expansion of (* im im) in re 13.019 * [taylor]: Taking taylor expansion of im in re 13.019 * [backup-simplify]: Simplify im into im 13.019 * [taylor]: Taking taylor expansion of im in re 13.019 * [backup-simplify]: Simplify im into im 13.020 * [backup-simplify]: Simplify (* 0 0) into 0 13.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.020 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.020 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.020 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.020 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.020 * [backup-simplify]: Simplify (+ 0 0) into 0 13.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.021 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.021 * [taylor]: Taking taylor expansion of (- re) in re 13.021 * [taylor]: Taking taylor expansion of re in re 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 13.021 * [backup-simplify]: Simplify (- 0) into 0 13.021 * [backup-simplify]: Simplify (+ im 0) into im 13.021 * [taylor]: Taking taylor expansion of im in im 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 13.021 * [backup-simplify]: Simplify (- 1) into -1 13.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.022 * [taylor]: Taking taylor expansion of -1 in im 13.022 * [backup-simplify]: Simplify -1 into -1 13.022 * [backup-simplify]: Simplify -1 into -1 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.023 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.023 * [backup-simplify]: Simplify (+ 1 0) into 1 13.023 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.024 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 13.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.024 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.025 * [backup-simplify]: Simplify (+ 1 0) into 1 13.025 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.026 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 13.026 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 13.027 * [backup-simplify]: Simplify (- 0) into 0 13.027 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 13.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 13.027 * [taylor]: Taking taylor expansion of 1/2 in im 13.027 * [backup-simplify]: Simplify 1/2 into 1/2 13.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.027 * [taylor]: Taking taylor expansion of im in im 13.027 * [backup-simplify]: Simplify 0 into 0 13.027 * [backup-simplify]: Simplify 1 into 1 13.027 * [backup-simplify]: Simplify (/ 1 1) into 1 13.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.029 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.030 * [backup-simplify]: Simplify (+ 0 0) into 0 13.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 13.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.032 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.032 * [backup-simplify]: Simplify (+ 0 0) into 0 13.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 13.033 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 13.034 * [backup-simplify]: Simplify (- 0) into 0 13.034 * [backup-simplify]: Simplify (+ 0 0) into 0 13.034 * [taylor]: Taking taylor expansion of 0 in im 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.036 * [backup-simplify]: Simplify 0 into 0 13.036 * [backup-simplify]: Simplify 0 into 0 13.036 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 13.037 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 13.037 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 13.037 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 13.037 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 13.037 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 13.037 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 13.037 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.038 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.038 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.038 * [taylor]: Taking taylor expansion of re in im 13.038 * [backup-simplify]: Simplify re into re 13.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.038 * [taylor]: Taking taylor expansion of re in im 13.038 * [backup-simplify]: Simplify re into re 13.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.038 * [taylor]: Taking taylor expansion of im in im 13.038 * [backup-simplify]: Simplify 0 into 0 13.038 * [backup-simplify]: Simplify 1 into 1 13.038 * [backup-simplify]: Simplify (/ 1 1) into 1 13.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.038 * [taylor]: Taking taylor expansion of im in im 13.039 * [backup-simplify]: Simplify 0 into 0 13.039 * [backup-simplify]: Simplify 1 into 1 13.039 * [backup-simplify]: Simplify (/ 1 1) into 1 13.039 * [backup-simplify]: Simplify (* 1 1) into 1 13.040 * [backup-simplify]: Simplify (+ 0 1) into 1 13.040 * [backup-simplify]: Simplify (sqrt 1) into 1 13.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.043 * [backup-simplify]: Simplify (+ 0 0) into 0 13.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.044 * [backup-simplify]: Simplify (sqrt 0) into 0 13.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.045 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 13.045 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.046 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.046 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.046 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.046 * [taylor]: Taking taylor expansion of re in im 13.046 * [backup-simplify]: Simplify re into re 13.046 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.046 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.046 * [taylor]: Taking taylor expansion of re in im 13.046 * [backup-simplify]: Simplify re into re 13.046 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.046 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.046 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.046 * [taylor]: Taking taylor expansion of im in im 13.046 * [backup-simplify]: Simplify 0 into 0 13.046 * [backup-simplify]: Simplify 1 into 1 13.046 * [backup-simplify]: Simplify (/ 1 1) into 1 13.046 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.047 * [taylor]: Taking taylor expansion of im in im 13.047 * [backup-simplify]: Simplify 0 into 0 13.047 * [backup-simplify]: Simplify 1 into 1 13.047 * [backup-simplify]: Simplify (/ 1 1) into 1 13.047 * [backup-simplify]: Simplify (* 1 1) into 1 13.048 * [backup-simplify]: Simplify (+ 0 1) into 1 13.048 * [backup-simplify]: Simplify (sqrt 1) into 1 13.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.051 * [backup-simplify]: Simplify (+ 0 0) into 0 13.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.052 * [backup-simplify]: Simplify (sqrt 0) into 0 13.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.053 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 13.053 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.053 * [taylor]: Taking taylor expansion of re in im 13.053 * [backup-simplify]: Simplify re into re 13.053 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.053 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 13.053 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 13.053 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 13.053 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.053 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.054 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.054 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.054 * [taylor]: Taking taylor expansion of re in re 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 1 into 1 13.054 * [backup-simplify]: Simplify (/ 1 1) into 1 13.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.054 * [taylor]: Taking taylor expansion of re in re 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 1 into 1 13.054 * [backup-simplify]: Simplify (/ 1 1) into 1 13.054 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.054 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.055 * [taylor]: Taking taylor expansion of im in re 13.055 * [backup-simplify]: Simplify im into im 13.055 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.055 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.055 * [taylor]: Taking taylor expansion of im in re 13.055 * [backup-simplify]: Simplify im into im 13.055 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.055 * [backup-simplify]: Simplify (* 1 1) into 1 13.055 * [backup-simplify]: Simplify (+ 1 0) into 1 13.056 * [backup-simplify]: Simplify (sqrt 1) into 1 13.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.058 * [backup-simplify]: Simplify (+ 0 0) into 0 13.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.059 * [backup-simplify]: Simplify (sqrt 0) into 0 13.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.061 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.061 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.061 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.061 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.061 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.061 * [taylor]: Taking taylor expansion of re in re 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 1 into 1 13.062 * [backup-simplify]: Simplify (/ 1 1) into 1 13.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.062 * [taylor]: Taking taylor expansion of re in re 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.062 * [backup-simplify]: Simplify (/ 1 1) into 1 13.062 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.062 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.062 * [taylor]: Taking taylor expansion of im in re 13.062 * [backup-simplify]: Simplify im into im 13.062 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.062 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.062 * [taylor]: Taking taylor expansion of im in re 13.062 * [backup-simplify]: Simplify im into im 13.062 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.063 * [backup-simplify]: Simplify (* 1 1) into 1 13.063 * [backup-simplify]: Simplify (+ 1 0) into 1 13.064 * [backup-simplify]: Simplify (sqrt 1) into 1 13.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.066 * [backup-simplify]: Simplify (+ 0 0) into 0 13.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.067 * [backup-simplify]: Simplify (sqrt 0) into 0 13.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.068 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 13.068 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.068 * [taylor]: Taking taylor expansion of re in re 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify (/ 1 1) into 1 13.069 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 13.069 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 13.069 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 13.069 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.069 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.069 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.069 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.069 * [taylor]: Taking taylor expansion of re in re 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 1 into 1 13.070 * [backup-simplify]: Simplify (/ 1 1) into 1 13.070 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.070 * [taylor]: Taking taylor expansion of re in re 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.070 * [backup-simplify]: Simplify (/ 1 1) into 1 13.070 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.070 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.070 * [taylor]: Taking taylor expansion of im in re 13.070 * [backup-simplify]: Simplify im into im 13.070 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.070 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.071 * [taylor]: Taking taylor expansion of im in re 13.071 * [backup-simplify]: Simplify im into im 13.071 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.071 * [backup-simplify]: Simplify (* 1 1) into 1 13.071 * [backup-simplify]: Simplify (+ 1 0) into 1 13.072 * [backup-simplify]: Simplify (sqrt 1) into 1 13.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.074 * [backup-simplify]: Simplify (+ 0 0) into 0 13.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.075 * [backup-simplify]: Simplify (sqrt 0) into 0 13.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.076 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.077 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.077 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.077 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.077 * [taylor]: Taking taylor expansion of re in re 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [backup-simplify]: Simplify (/ 1 1) into 1 13.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.077 * [taylor]: Taking taylor expansion of re in re 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.078 * [backup-simplify]: Simplify (/ 1 1) into 1 13.078 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.078 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.078 * [taylor]: Taking taylor expansion of im in re 13.078 * [backup-simplify]: Simplify im into im 13.078 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.078 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.078 * [taylor]: Taking taylor expansion of im in re 13.078 * [backup-simplify]: Simplify im into im 13.078 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.078 * [backup-simplify]: Simplify (* 1 1) into 1 13.079 * [backup-simplify]: Simplify (+ 1 0) into 1 13.079 * [backup-simplify]: Simplify (sqrt 1) into 1 13.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.081 * [backup-simplify]: Simplify (+ 0 0) into 0 13.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.082 * [backup-simplify]: Simplify (sqrt 0) into 0 13.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.084 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 13.084 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.084 * [taylor]: Taking taylor expansion of re in re 13.084 * [backup-simplify]: Simplify 0 into 0 13.084 * [backup-simplify]: Simplify 1 into 1 13.084 * [backup-simplify]: Simplify (/ 1 1) into 1 13.085 * [backup-simplify]: Simplify (* 0 0) into 0 13.085 * [backup-simplify]: Simplify (+ 0 0) into 0 13.085 * [taylor]: Taking taylor expansion of 0 in im 13.085 * [backup-simplify]: Simplify 0 into 0 13.086 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.086 * [backup-simplify]: Simplify (- 1) into -1 13.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.086 * [taylor]: Taking taylor expansion of -1 in im 13.086 * [backup-simplify]: Simplify -1 into -1 13.089 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.092 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.095 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 13.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.096 * [backup-simplify]: Simplify (- 0) into 0 13.097 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.097 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.097 * [taylor]: Taking taylor expansion of +nan.0 in im 13.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.100 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.101 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.104 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.106 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.109 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.109 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.110 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.111 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.112 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 13.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.112 * [backup-simplify]: Simplify (- 0) into 0 13.113 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.113 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.113 * [taylor]: Taking taylor expansion of +nan.0 in im 13.113 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.113 * [backup-simplify]: Simplify -1 into -1 13.113 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.115 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.115 * [backup-simplify]: Simplify (+ 0 0) into 0 13.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.116 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.118 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.119 * [backup-simplify]: Simplify (+ 0 0) into 0 13.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.120 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.121 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.122 * [backup-simplify]: Simplify (- 0) into 0 13.123 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.123 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 13.123 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 13.123 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 13.123 * [taylor]: Taking taylor expansion of +nan.0 in im 13.123 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.123 * [taylor]: Taking taylor expansion of im in im 13.123 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.123 * [backup-simplify]: Simplify (* 1 1) into 1 13.123 * [backup-simplify]: Simplify (/ 1 1) into 1 13.123 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.123 * [taylor]: Taking taylor expansion of +nan.0 in im 13.123 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.124 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 13.124 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 13.124 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 13.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.126 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 13.126 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re))))) (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 13.126 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 13.126 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 13.127 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 13.127 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 13.127 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 13.127 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.127 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.127 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.127 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.127 * [taylor]: Taking taylor expansion of -1 in im 13.127 * [backup-simplify]: Simplify -1 into -1 13.127 * [taylor]: Taking taylor expansion of re in im 13.127 * [backup-simplify]: Simplify re into re 13.127 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.127 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.127 * [taylor]: Taking taylor expansion of -1 in im 13.127 * [backup-simplify]: Simplify -1 into -1 13.127 * [taylor]: Taking taylor expansion of re in im 13.127 * [backup-simplify]: Simplify re into re 13.127 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.127 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.127 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.127 * [taylor]: Taking taylor expansion of -1 in im 13.127 * [backup-simplify]: Simplify -1 into -1 13.127 * [taylor]: Taking taylor expansion of im in im 13.127 * [backup-simplify]: Simplify 0 into 0 13.127 * [backup-simplify]: Simplify 1 into 1 13.128 * [backup-simplify]: Simplify (/ -1 1) into -1 13.128 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.128 * [taylor]: Taking taylor expansion of -1 in im 13.128 * [backup-simplify]: Simplify -1 into -1 13.128 * [taylor]: Taking taylor expansion of im in im 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 1 into 1 13.128 * [backup-simplify]: Simplify (/ -1 1) into -1 13.128 * [backup-simplify]: Simplify (* -1 -1) into 1 13.128 * [backup-simplify]: Simplify (+ 0 1) into 1 13.129 * [backup-simplify]: Simplify (sqrt 1) into 1 13.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.130 * [backup-simplify]: Simplify (+ 0 0) into 0 13.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.131 * [backup-simplify]: Simplify (sqrt 0) into 0 13.132 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.132 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 13.132 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.132 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.132 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.132 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.132 * [taylor]: Taking taylor expansion of -1 in im 13.132 * [backup-simplify]: Simplify -1 into -1 13.132 * [taylor]: Taking taylor expansion of re in im 13.132 * [backup-simplify]: Simplify re into re 13.132 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.132 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.132 * [taylor]: Taking taylor expansion of -1 in im 13.132 * [backup-simplify]: Simplify -1 into -1 13.132 * [taylor]: Taking taylor expansion of re in im 13.132 * [backup-simplify]: Simplify re into re 13.132 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.132 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.132 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.132 * [taylor]: Taking taylor expansion of -1 in im 13.132 * [backup-simplify]: Simplify -1 into -1 13.132 * [taylor]: Taking taylor expansion of im in im 13.132 * [backup-simplify]: Simplify 0 into 0 13.132 * [backup-simplify]: Simplify 1 into 1 13.133 * [backup-simplify]: Simplify (/ -1 1) into -1 13.133 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.133 * [taylor]: Taking taylor expansion of -1 in im 13.133 * [backup-simplify]: Simplify -1 into -1 13.133 * [taylor]: Taking taylor expansion of im in im 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.133 * [backup-simplify]: Simplify (/ -1 1) into -1 13.133 * [backup-simplify]: Simplify (* -1 -1) into 1 13.133 * [backup-simplify]: Simplify (+ 0 1) into 1 13.134 * [backup-simplify]: Simplify (sqrt 1) into 1 13.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.135 * [backup-simplify]: Simplify (+ 0 0) into 0 13.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.136 * [backup-simplify]: Simplify (sqrt 0) into 0 13.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.137 * [taylor]: Taking taylor expansion of re in im 13.137 * [backup-simplify]: Simplify re into re 13.137 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.137 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 13.137 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 13.137 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 13.137 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.137 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.137 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.137 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.137 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.137 * [taylor]: Taking taylor expansion of -1 in re 13.137 * [backup-simplify]: Simplify -1 into -1 13.137 * [taylor]: Taking taylor expansion of re in re 13.137 * [backup-simplify]: Simplify 0 into 0 13.137 * [backup-simplify]: Simplify 1 into 1 13.137 * [backup-simplify]: Simplify (/ -1 1) into -1 13.137 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.137 * [taylor]: Taking taylor expansion of -1 in re 13.137 * [backup-simplify]: Simplify -1 into -1 13.137 * [taylor]: Taking taylor expansion of re in re 13.137 * [backup-simplify]: Simplify 0 into 0 13.138 * [backup-simplify]: Simplify 1 into 1 13.138 * [backup-simplify]: Simplify (/ -1 1) into -1 13.138 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.138 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.138 * [taylor]: Taking taylor expansion of -1 in re 13.138 * [backup-simplify]: Simplify -1 into -1 13.138 * [taylor]: Taking taylor expansion of im in re 13.138 * [backup-simplify]: Simplify im into im 13.138 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.138 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.138 * [taylor]: Taking taylor expansion of -1 in re 13.138 * [backup-simplify]: Simplify -1 into -1 13.138 * [taylor]: Taking taylor expansion of im in re 13.138 * [backup-simplify]: Simplify im into im 13.138 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.138 * [backup-simplify]: Simplify (* -1 -1) into 1 13.138 * [backup-simplify]: Simplify (+ 1 0) into 1 13.139 * [backup-simplify]: Simplify (sqrt 1) into 1 13.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.140 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.140 * [backup-simplify]: Simplify (+ 0 0) into 0 13.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.141 * [backup-simplify]: Simplify (sqrt 0) into 0 13.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.142 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.142 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.142 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.142 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.142 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.142 * [taylor]: Taking taylor expansion of -1 in re 13.142 * [backup-simplify]: Simplify -1 into -1 13.142 * [taylor]: Taking taylor expansion of re in re 13.142 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify 1 into 1 13.142 * [backup-simplify]: Simplify (/ -1 1) into -1 13.142 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.142 * [taylor]: Taking taylor expansion of -1 in re 13.142 * [backup-simplify]: Simplify -1 into -1 13.142 * [taylor]: Taking taylor expansion of re in re 13.142 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify 1 into 1 13.143 * [backup-simplify]: Simplify (/ -1 1) into -1 13.143 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.143 * [taylor]: Taking taylor expansion of -1 in re 13.143 * [backup-simplify]: Simplify -1 into -1 13.143 * [taylor]: Taking taylor expansion of im in re 13.143 * [backup-simplify]: Simplify im into im 13.143 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.143 * [taylor]: Taking taylor expansion of -1 in re 13.143 * [backup-simplify]: Simplify -1 into -1 13.143 * [taylor]: Taking taylor expansion of im in re 13.143 * [backup-simplify]: Simplify im into im 13.143 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.143 * [backup-simplify]: Simplify (* -1 -1) into 1 13.143 * [backup-simplify]: Simplify (+ 1 0) into 1 13.144 * [backup-simplify]: Simplify (sqrt 1) into 1 13.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.145 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.146 * [backup-simplify]: Simplify (+ 0 0) into 0 13.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.146 * [backup-simplify]: Simplify (sqrt 0) into 0 13.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.147 * [taylor]: Taking taylor expansion of re in re 13.147 * [backup-simplify]: Simplify 0 into 0 13.147 * [backup-simplify]: Simplify 1 into 1 13.147 * [backup-simplify]: Simplify (/ 1 1) into 1 13.147 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 13.148 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 13.148 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 13.148 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.148 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.148 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.148 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.148 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.148 * [taylor]: Taking taylor expansion of -1 in re 13.148 * [backup-simplify]: Simplify -1 into -1 13.148 * [taylor]: Taking taylor expansion of re in re 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 1 into 1 13.148 * [backup-simplify]: Simplify (/ -1 1) into -1 13.148 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.148 * [taylor]: Taking taylor expansion of -1 in re 13.148 * [backup-simplify]: Simplify -1 into -1 13.148 * [taylor]: Taking taylor expansion of re in re 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 1 into 1 13.148 * [backup-simplify]: Simplify (/ -1 1) into -1 13.149 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.149 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.149 * [taylor]: Taking taylor expansion of -1 in re 13.149 * [backup-simplify]: Simplify -1 into -1 13.149 * [taylor]: Taking taylor expansion of im in re 13.149 * [backup-simplify]: Simplify im into im 13.149 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.149 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.149 * [taylor]: Taking taylor expansion of -1 in re 13.149 * [backup-simplify]: Simplify -1 into -1 13.149 * [taylor]: Taking taylor expansion of im in re 13.149 * [backup-simplify]: Simplify im into im 13.149 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.149 * [backup-simplify]: Simplify (* -1 -1) into 1 13.149 * [backup-simplify]: Simplify (+ 1 0) into 1 13.149 * [backup-simplify]: Simplify (sqrt 1) into 1 13.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.151 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.151 * [backup-simplify]: Simplify (+ 0 0) into 0 13.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.152 * [backup-simplify]: Simplify (sqrt 0) into 0 13.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.152 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.152 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.153 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.153 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.153 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.153 * [taylor]: Taking taylor expansion of -1 in re 13.153 * [backup-simplify]: Simplify -1 into -1 13.153 * [taylor]: Taking taylor expansion of re in re 13.153 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify 1 into 1 13.153 * [backup-simplify]: Simplify (/ -1 1) into -1 13.153 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.153 * [taylor]: Taking taylor expansion of -1 in re 13.153 * [backup-simplify]: Simplify -1 into -1 13.153 * [taylor]: Taking taylor expansion of re in re 13.153 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify 1 into 1 13.153 * [backup-simplify]: Simplify (/ -1 1) into -1 13.153 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.153 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.153 * [taylor]: Taking taylor expansion of -1 in re 13.153 * [backup-simplify]: Simplify -1 into -1 13.153 * [taylor]: Taking taylor expansion of im in re 13.153 * [backup-simplify]: Simplify im into im 13.154 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.154 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.154 * [taylor]: Taking taylor expansion of -1 in re 13.154 * [backup-simplify]: Simplify -1 into -1 13.154 * [taylor]: Taking taylor expansion of im in re 13.154 * [backup-simplify]: Simplify im into im 13.154 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.154 * [backup-simplify]: Simplify (* -1 -1) into 1 13.154 * [backup-simplify]: Simplify (+ 1 0) into 1 13.154 * [backup-simplify]: Simplify (sqrt 1) into 1 13.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.156 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.156 * [backup-simplify]: Simplify (+ 0 0) into 0 13.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.157 * [backup-simplify]: Simplify (sqrt 0) into 0 13.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.157 * [taylor]: Taking taylor expansion of re in re 13.157 * [backup-simplify]: Simplify 0 into 0 13.157 * [backup-simplify]: Simplify 1 into 1 13.158 * [backup-simplify]: Simplify (/ 1 1) into 1 13.158 * [backup-simplify]: Simplify (* 0 0) into 0 13.158 * [backup-simplify]: Simplify (+ 0 0) into 0 13.158 * [taylor]: Taking taylor expansion of 0 in im 13.158 * [backup-simplify]: Simplify 0 into 0 13.159 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.159 * [backup-simplify]: Simplify (+ 0 1) into 1 13.159 * [taylor]: Taking taylor expansion of 1 in im 13.159 * [backup-simplify]: Simplify 1 into 1 13.161 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.162 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.164 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 13.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.166 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.166 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.166 * [taylor]: Taking taylor expansion of +nan.0 in im 13.166 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.166 * [backup-simplify]: Simplify 0 into 0 13.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.169 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.169 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.170 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.171 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.173 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.175 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.175 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.177 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.178 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 13.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.179 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.179 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.179 * [taylor]: Taking taylor expansion of +nan.0 in im 13.179 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.179 * [backup-simplify]: Simplify 1 into 1 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.181 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.181 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.181 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.181 * [backup-simplify]: Simplify (+ 0 0) into 0 13.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.182 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.184 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.184 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.184 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.184 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.185 * [backup-simplify]: Simplify (+ 0 0) into 0 13.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.186 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.187 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.188 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.188 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 13.188 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 13.188 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 13.188 * [taylor]: Taking taylor expansion of +nan.0 in im 13.188 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.188 * [taylor]: Taking taylor expansion of im in im 13.188 * [backup-simplify]: Simplify 0 into 0 13.188 * [backup-simplify]: Simplify 1 into 1 13.189 * [backup-simplify]: Simplify (* 1 1) into 1 13.189 * [backup-simplify]: Simplify (/ 1 1) into 1 13.189 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.189 * [taylor]: Taking taylor expansion of +nan.0 in im 13.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.189 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 13.189 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 13.190 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 13.190 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.190 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.191 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.191 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 13.191 * * * [progress]: simplifying candidates 13.192 * [simplify]: Simplifying: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (log1p (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (+ 1 1) (+ (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (log (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (exp (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* 1 1) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 1)) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 1) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (- im re) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) (- im re) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) (- im re) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 13.194 * * [simplify]: iteration 0: 73 enodes 13.225 * * [simplify]: iteration 1: 154 enodes 13.293 * * [simplify]: iteration 2: 313 enodes 13.471 * * [simplify]: iteration 3: 1071 enodes 14.631 * * [simplify]: iteration complete: 5001 enodes 14.632 * * [simplify]: Extracting #0: cost 21 inf + 0 14.633 * * [simplify]: Extracting #1: cost 373 inf + 2 14.641 * * [simplify]: Extracting #2: cost 1278 inf + 2211 14.660 * * [simplify]: Extracting #3: cost 1293 inf + 25191 14.712 * * [simplify]: Extracting #4: cost 783 inf + 153876 14.802 * * [simplify]: Extracting #5: cost 100 inf + 368567 14.904 * * [simplify]: Extracting #6: cost 0 inf + 403016 15.030 * [simplify]: Simplified to: (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (hypot re im) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (hypot re im) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) 1 1 2 1 1 (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)) 2 (log (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))) (* (- (hypot re im) re) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 2 1 (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (cbrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (- (hypot re im) re) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (- (hypot re im) re) (- im re) (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re))) (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re))) (- im re) (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re))) (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re))) (- im re) (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re))) (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re))) 15.044 * * * [progress]: adding candidates to table 15.519 * [progress]: [Phase 3 of 3] Extracting. 15.519 * * [regime]: Finding splitpoints for: (# # # # # # # #) 15.524 * * * [regime-changes]: Trying 2 branch expressions: (im re) 15.524 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 15.605 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 15.710 * * * [regime]: Found split indices: #