1.432 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.112 * * * [progress]: [2/2] Setting up program. 0.118 * [progress]: [Phase 2 of 3] Improving. 0.119 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.121 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.122 * * [simplify]: iteration 0: 12 enodes 0.127 * * [simplify]: iteration 1: 17 enodes 0.130 * * [simplify]: iteration 2: 24 enodes 0.134 * * [simplify]: iteration 3: 30 enodes 0.139 * * [simplify]: iteration 4: 35 enodes 0.144 * * [simplify]: iteration complete: 35 enodes 0.144 * * [simplify]: Extracting #0: cost 1 inf + 0 0.145 * * [simplify]: Extracting #1: cost 3 inf + 0 0.145 * * [simplify]: Extracting #2: cost 3 inf + 1 0.145 * * [simplify]: Extracting #3: cost 8 inf + 1 0.145 * * [simplify]: Extracting #4: cost 11 inf + 2 0.145 * * [simplify]: Extracting #5: cost 7 inf + 209 0.145 * * [simplify]: Extracting #6: cost 9 inf + 209 0.145 * * [simplify]: Extracting #7: cost 9 inf + 250 0.145 * * [simplify]: Extracting #8: cost 7 inf + 292 0.146 * * [simplify]: Extracting #9: cost 5 inf + 576 0.146 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.146 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.147 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.149 * * [progress]: iteration 1 / 4 0.149 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.196 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.207 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.330 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.349 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.357 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.357 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.358 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.359 * [taylor]: Taking taylor expansion of re in im 0.359 * [backup-simplify]: Simplify re into re 0.360 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.360 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.360 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.360 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.361 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.361 * [taylor]: Taking taylor expansion of im in re 0.361 * [backup-simplify]: Simplify im into im 0.361 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.361 * [taylor]: Taking taylor expansion of re in re 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.362 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.362 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.363 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.363 * [taylor]: Taking taylor expansion of im in re 0.363 * [backup-simplify]: Simplify im into im 0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.363 * [taylor]: Taking taylor expansion of re in re 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.363 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.363 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.364 * [taylor]: Taking taylor expansion of im in im 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ 0 1) into 1 0.367 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.367 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.367 * [taylor]: Taking taylor expansion of 1/2 in im 0.367 * [backup-simplify]: Simplify 1/2 into 1/2 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.373 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.373 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.373 * [taylor]: Taking taylor expansion of re in im 0.373 * [backup-simplify]: Simplify re into re 0.373 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.373 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [backup-simplify]: Simplify (+ 0 1) into 1 0.375 * [backup-simplify]: Simplify (sqrt 1) into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.378 * [taylor]: Taking taylor expansion of re in re 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 1) into 1 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.380 * [backup-simplify]: Simplify (sqrt 1) into 1 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [backup-simplify]: Simplify im into im 0.383 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.384 * [backup-simplify]: Simplify (+ 1 0) into 1 0.384 * [backup-simplify]: Simplify (sqrt 1) into 1 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.387 * [taylor]: Taking taylor expansion of 1 in im 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [taylor]: Taking taylor expansion of 0 in im 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.390 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.390 * [taylor]: Taking taylor expansion of 1/2 in im 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.390 * [taylor]: Taking taylor expansion of im in im 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.397 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.400 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.400 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.400 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.400 * [taylor]: Taking taylor expansion of re in im 0.400 * [backup-simplify]: Simplify re into re 0.400 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.400 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.400 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [backup-simplify]: Simplify (+ 0 1) into 1 0.402 * [backup-simplify]: Simplify (sqrt 1) into 1 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.405 * [taylor]: Taking taylor expansion of re in re 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [backup-simplify]: Simplify im into im 0.412 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.413 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.414 * [backup-simplify]: Simplify (sqrt 1) into 1 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.417 * [taylor]: Taking taylor expansion of re in re 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.418 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.418 * [taylor]: Taking taylor expansion of im in re 0.418 * [backup-simplify]: Simplify im into im 0.418 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.418 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.419 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [taylor]: Taking taylor expansion of 1 in im 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 0 in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.425 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.425 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.425 * [taylor]: Taking taylor expansion of 1/2 in im 0.425 * [backup-simplify]: Simplify 1/2 into 1/2 0.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.425 * [taylor]: Taking taylor expansion of im in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.436 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.436 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.436 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.436 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.437 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.437 * [taylor]: Taking taylor expansion of im in im 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.437 * [taylor]: Taking taylor expansion of re in im 0.437 * [backup-simplify]: Simplify re into re 0.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.437 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.437 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.437 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.438 * [taylor]: Taking taylor expansion of re in im 0.438 * [backup-simplify]: Simplify re into re 0.438 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.438 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.438 * [taylor]: Taking taylor expansion of im in re 0.438 * [backup-simplify]: Simplify im into im 0.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.438 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.438 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.438 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.439 * [taylor]: Taking taylor expansion of re in re 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.439 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.439 * [taylor]: Taking taylor expansion of im in re 0.439 * [backup-simplify]: Simplify im into im 0.439 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.439 * [taylor]: Taking taylor expansion of re in re 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.440 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.440 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.440 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.440 * [taylor]: Taking taylor expansion of re in re 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ im 0) into im 0.441 * [taylor]: Taking taylor expansion of im in im 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (- 1) into -1 0.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.442 * [taylor]: Taking taylor expansion of -1 in im 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.444 * [taylor]: Taking taylor expansion of 1/2 in im 0.445 * [backup-simplify]: Simplify 1/2 into 1/2 0.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [taylor]: Taking taylor expansion of 0 in im 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.452 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.452 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.452 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.452 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.452 * [taylor]: Taking taylor expansion of re in im 0.452 * [backup-simplify]: Simplify re into re 0.452 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.452 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.453 * [taylor]: Taking taylor expansion of im in im 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ 0 1) into 1 0.454 * [backup-simplify]: Simplify (sqrt 1) into 1 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.457 * [taylor]: Taking taylor expansion of re in im 0.457 * [backup-simplify]: Simplify re into re 0.457 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.457 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.458 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.458 * [backup-simplify]: Simplify im into im 0.458 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.458 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.459 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (sqrt 1) into 1 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.461 * [taylor]: Taking taylor expansion of re in re 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.462 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.462 * [taylor]: Taking taylor expansion of re in re 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.463 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.463 * [taylor]: Taking taylor expansion of im in re 0.463 * [backup-simplify]: Simplify im into im 0.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.463 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (sqrt 1) into 1 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (- 1) into -1 0.467 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [taylor]: Taking taylor expansion of 0 in im 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.472 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.473 * [taylor]: Taking taylor expansion of 1/2 in im 0.473 * [backup-simplify]: Simplify 1/2 into 1/2 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.473 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in im 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.485 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.485 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.485 * [taylor]: Taking taylor expansion of re in im 0.485 * [backup-simplify]: Simplify re into re 0.485 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.485 * [taylor]: Taking taylor expansion of re in im 0.485 * [backup-simplify]: Simplify re into re 0.486 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.486 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.486 * [taylor]: Taking taylor expansion of im in im 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [backup-simplify]: Simplify (+ 0 1) into 1 0.487 * [backup-simplify]: Simplify (sqrt 1) into 1 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [backup-simplify]: Simplify im into im 0.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.492 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [backup-simplify]: Simplify (sqrt 1) into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.495 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.495 * [taylor]: Taking taylor expansion of re in re 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.497 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.497 * [taylor]: Taking taylor expansion of im in re 0.497 * [backup-simplify]: Simplify im into im 0.497 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.497 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.498 * [backup-simplify]: Simplify (sqrt 1) into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.501 * [backup-simplify]: Simplify (+ 1 1) into 2 0.501 * [taylor]: Taking taylor expansion of 2 in im 0.501 * [backup-simplify]: Simplify 2 into 2 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [taylor]: Taking taylor expansion of 0 in im 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 2 into 2 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.506 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.506 * [taylor]: Taking taylor expansion of 1/2 in im 0.506 * [backup-simplify]: Simplify 1/2 into 1/2 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in im 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.516 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.516 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 0.516 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 0.516 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 0.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.516 * [taylor]: Taking taylor expansion of 2.0 in im 0.516 * [backup-simplify]: Simplify 2.0 into 2.0 0.517 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.518 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 0.518 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.518 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.518 * [taylor]: Taking taylor expansion of re in im 0.518 * [backup-simplify]: Simplify re into re 0.518 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.518 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.518 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.518 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.519 * [taylor]: Taking taylor expansion of re in im 0.519 * [backup-simplify]: Simplify re into re 0.519 * [backup-simplify]: Simplify (- re) into (- re) 0.519 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.521 * [backup-simplify]: Simplify (+ 1 0) into 1 0.522 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.522 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.525 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.525 * [taylor]: Taking taylor expansion of 2.0 in re 0.525 * [backup-simplify]: Simplify 2.0 into 2.0 0.525 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.526 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.526 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.526 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.526 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.526 * [taylor]: Taking taylor expansion of im in re 0.526 * [backup-simplify]: Simplify im into im 0.526 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.526 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.527 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.528 * [backup-simplify]: Simplify (+ im 0) into im 0.528 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.528 * [backup-simplify]: Simplify (- 1) into -1 0.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.529 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.529 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.529 * [taylor]: Taking taylor expansion of 2.0 in re 0.529 * [backup-simplify]: Simplify 2.0 into 2.0 0.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.530 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.530 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.530 * [taylor]: Taking taylor expansion of im in re 0.530 * [backup-simplify]: Simplify im into im 0.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.531 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.531 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ im 0) into im 0.532 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.532 * [backup-simplify]: Simplify (- 1) into -1 0.533 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.533 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.533 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.533 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.533 * [taylor]: Taking taylor expansion of 2.0 in im 0.533 * [backup-simplify]: Simplify 2.0 into 2.0 0.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.534 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (sqrt 0) into 0 0.536 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.538 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.539 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.539 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.539 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.539 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.539 * [taylor]: Taking taylor expansion of 1/2 in im 0.539 * [backup-simplify]: Simplify 1/2 into 1/2 0.539 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.539 * [taylor]: Taking taylor expansion of 2.0 in im 0.539 * [backup-simplify]: Simplify 2.0 into 2.0 0.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.540 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (sqrt 0) into 0 0.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.546 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.547 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.548 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.554 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.555 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.557 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.560 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.561 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.564 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0.564 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.564 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.564 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.564 * [taylor]: Taking taylor expansion of 2.0 in im 0.564 * [backup-simplify]: Simplify 2.0 into 2.0 0.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.565 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.565 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.565 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [backup-simplify]: Simplify re into re 0.565 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.565 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.565 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [backup-simplify]: Simplify (+ 0 1) into 1 0.567 * [backup-simplify]: Simplify (sqrt 1) into 1 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.568 * [taylor]: Taking taylor expansion of re in im 0.568 * [backup-simplify]: Simplify re into re 0.568 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (sqrt 0) into 0 0.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.570 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.570 * [taylor]: Taking taylor expansion of 2.0 in re 0.570 * [backup-simplify]: Simplify 2.0 into 2.0 0.570 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.570 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.571 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.571 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.571 * [taylor]: Taking taylor expansion of im in re 0.571 * [backup-simplify]: Simplify im into im 0.571 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.571 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (sqrt 1) into 1 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.574 * [taylor]: Taking taylor expansion of re in re 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [backup-simplify]: Simplify (- 1) into -1 0.575 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (- 0) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.578 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.580 * [backup-simplify]: Simplify (sqrt 0) into 0 0.581 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.581 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.581 * [taylor]: Taking taylor expansion of 2.0 in re 0.581 * [backup-simplify]: Simplify 2.0 into 2.0 0.582 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.582 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.582 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.583 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.583 * [taylor]: Taking taylor expansion of re in re 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.583 * [taylor]: Taking taylor expansion of im in re 0.584 * [backup-simplify]: Simplify im into im 0.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.584 * [backup-simplify]: Simplify (+ 1 0) into 1 0.585 * [backup-simplify]: Simplify (sqrt 1) into 1 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [backup-simplify]: Simplify (- 1) into -1 0.588 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.594 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.596 * [backup-simplify]: Simplify (sqrt 0) into 0 0.597 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.598 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.598 * [taylor]: Taking taylor expansion of 0 in im 0.598 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.599 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.599 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.599 * [taylor]: Taking taylor expansion of +nan.0 in im 0.599 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.599 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.599 * [taylor]: Taking taylor expansion of 2.0 in im 0.599 * [backup-simplify]: Simplify 2.0 into 2.0 0.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.600 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.600 * [taylor]: Taking taylor expansion of im in im 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.611 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.611 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.611 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.611 * [taylor]: Taking taylor expansion of +nan.0 in im 0.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.611 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.611 * [taylor]: Taking taylor expansion of 2.0 in im 0.611 * [backup-simplify]: Simplify 2.0 into 2.0 0.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.612 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.612 * [taylor]: Taking taylor expansion of im in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.629 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.631 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.631 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.631 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.631 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.631 * [taylor]: Taking taylor expansion of +nan.0 in im 0.631 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.631 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.631 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.631 * [taylor]: Taking taylor expansion of 2.0 in im 0.631 * [backup-simplify]: Simplify 2.0 into 2.0 0.631 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.632 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.632 * [taylor]: Taking taylor expansion of im in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.633 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.633 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.633 * [taylor]: Taking taylor expansion of +nan.0 in im 0.633 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.633 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.633 * [taylor]: Taking taylor expansion of 2.0 in im 0.633 * [backup-simplify]: Simplify 2.0 into 2.0 0.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.634 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.634 * [taylor]: Taking taylor expansion of im in im 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (* 1 1) into 1 0.634 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.678 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.678 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.679 * [taylor]: Taking taylor expansion of 2.0 in im 0.679 * [backup-simplify]: Simplify 2.0 into 2.0 0.679 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [backup-simplify]: Simplify re into re 0.680 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.680 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.681 * [taylor]: Taking taylor expansion of re in im 0.681 * [backup-simplify]: Simplify re into re 0.681 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.681 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.681 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [backup-simplify]: Simplify (+ 0 1) into 1 0.683 * [backup-simplify]: Simplify (sqrt 1) into 1 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 1) into 1 0.686 * [backup-simplify]: Simplify (sqrt 0) into 0 0.688 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.688 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.688 * [taylor]: Taking taylor expansion of 2.0 in re 0.688 * [backup-simplify]: Simplify 2.0 into 2.0 0.688 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.689 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.690 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.691 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.691 * [backup-simplify]: Simplify im into im 0.691 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.692 * [backup-simplify]: Simplify (sqrt 1) into 1 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.695 * [backup-simplify]: Simplify (+ 1 1) into 2 0.695 * [backup-simplify]: Simplify (sqrt 0) into 0 0.697 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.697 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.697 * [taylor]: Taking taylor expansion of 2.0 in re 0.697 * [backup-simplify]: Simplify 2.0 into 2.0 0.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (* 1 1) into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.700 * [backup-simplify]: Simplify im into im 0.700 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.700 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.700 * [backup-simplify]: Simplify (+ 1 0) into 1 0.701 * [backup-simplify]: Simplify (sqrt 1) into 1 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.704 * [backup-simplify]: Simplify (+ 1 1) into 2 0.704 * [backup-simplify]: Simplify (sqrt 0) into 0 0.705 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.706 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.706 * [taylor]: Taking taylor expansion of 0 in im 0.706 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.708 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.708 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.708 * [taylor]: Taking taylor expansion of +nan.0 in im 0.708 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.708 * [taylor]: Taking taylor expansion of 2.0 in im 0.708 * [backup-simplify]: Simplify 2.0 into 2.0 0.709 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.716 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.718 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.718 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.719 * [taylor]: Taking taylor expansion of +nan.0 in im 0.719 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.719 * [taylor]: Taking taylor expansion of 2.0 in im 0.719 * [backup-simplify]: Simplify 2.0 into 2.0 0.719 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.721 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.722 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.723 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.726 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.726 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.727 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.729 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.729 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.729 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.729 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.729 * [taylor]: Taking taylor expansion of +nan.0 in im 0.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.729 * [taylor]: Taking taylor expansion of 2.0 in im 0.729 * [backup-simplify]: Simplify 2.0 into 2.0 0.729 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.730 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.730 * [taylor]: Taking taylor expansion of +nan.0 in im 0.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.730 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.730 * [taylor]: Taking taylor expansion of 2.0 in im 0.730 * [backup-simplify]: Simplify 2.0 into 2.0 0.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.735 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.736 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.736 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.742 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.742 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.742 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.743 * [taylor]: Taking taylor expansion of +nan.0 in im 0.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.743 * [taylor]: Taking taylor expansion of 2.0 in im 0.743 * [backup-simplify]: Simplify 2.0 into 2.0 0.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.743 * [taylor]: Taking taylor expansion of +nan.0 in im 0.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.743 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.743 * [taylor]: Taking taylor expansion of 2.0 in im 0.743 * [backup-simplify]: Simplify 2.0 into 2.0 0.744 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.744 * [taylor]: Taking taylor expansion of im in im 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.745 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.751 * [backup-simplify]: Simplify (- 0) into 0 0.752 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.753 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.754 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.757 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.757 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.758 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.758 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.758 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.758 * [taylor]: Taking taylor expansion of im in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.758 * [taylor]: Taking taylor expansion of re in im 0.758 * [backup-simplify]: Simplify re into re 0.758 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [backup-simplify]: Simplify im into im 0.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [backup-simplify]: Simplify im into im 0.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.758 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.758 * [taylor]: Taking taylor expansion of im in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [taylor]: Taking taylor expansion of 0 in im 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (+ 0 1) into 1 0.760 * [taylor]: Taking taylor expansion of 1 in im 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (* 1 1) into 1 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [taylor]: Taking taylor expansion of 0 in im 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.763 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.763 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.764 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.764 * [backup-simplify]: Simplify re into re 0.764 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.764 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.764 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (* 1 1) into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.765 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.765 * [taylor]: Taking taylor expansion of im in re 0.765 * [backup-simplify]: Simplify im into im 0.765 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.765 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.765 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (* 1 1) into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.766 * [taylor]: Taking taylor expansion of im in re 0.766 * [backup-simplify]: Simplify im into im 0.766 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.766 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.766 * [backup-simplify]: Simplify (+ 1 0) into 1 0.766 * [taylor]: Taking taylor expansion of 1 in im 0.766 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [taylor]: Taking taylor expansion of 0 in im 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [taylor]: Taking taylor expansion of 0 in im 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [taylor]: Taking taylor expansion of 0 in im 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.778 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.778 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.778 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.778 * [taylor]: Taking taylor expansion of re in im 0.778 * [backup-simplify]: Simplify re into re 0.778 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.778 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [backup-simplify]: Simplify im into im 0.779 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.779 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* 1 1) into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.780 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.780 * [taylor]: Taking taylor expansion of im in re 0.780 * [backup-simplify]: Simplify im into im 0.780 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.780 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.781 * [backup-simplify]: Simplify (+ 1 0) into 1 0.781 * [taylor]: Taking taylor expansion of 1 in im 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.785 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.785 * [taylor]: Taking taylor expansion of im in im 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [taylor]: Taking taylor expansion of 0 in im 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.795 * * * [progress]: simplifying candidates 0.795 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 0.795 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 0.795 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.796 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 0.796 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 0.797 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 46 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 0.797 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 0.797 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 57 / 70 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 0.798 * * * * [progress]: [ 58 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 0.798 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 0.799 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (real->posit16 (+ (* re re) (* im im))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 0.800 * * [simplify]: iteration 0: 118 enodes 0.824 * * [simplify]: iteration 1: 265 enodes 0.904 * * [simplify]: iteration 2: 748 enodes 1.358 * * [simplify]: iteration 3: 2953 enodes 2.287 * * [simplify]: iteration complete: 5002 enodes 2.287 * * [simplify]: Extracting #0: cost 61 inf + 0 2.288 * * [simplify]: Extracting #1: cost 237 inf + 5 2.294 * * [simplify]: Extracting #2: cost 1127 inf + 4600 2.324 * * [simplify]: Extracting #3: cost 1057 inf + 65301 2.365 * * [simplify]: Extracting #4: cost 313 inf + 196473 2.457 * * [simplify]: Extracting #5: cost 80 inf + 261834 2.544 * * [simplify]: Extracting #6: cost 19 inf + 270218 2.613 * * [simplify]: Extracting #7: cost 0 inf + 275585 2.676 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im)))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))) (+ (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))) (- re) (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (log (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (exp (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (* (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))) (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (* (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))) 2.0)) (sqrt (+ (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im)))) (sqrt (* (+ 0 (* im im)) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (real->posit16 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (exp (+ (* im im) (* re re))) (log (+ (* re re) (* im im))) (exp (+ (* im im) (* re re))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (+ (* re re) (* im im)) (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im))) (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))) (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (* (+ re im) (- re im)) (real->posit16 (+ (* re re) (* im im))) im re (- re) (- im re) 0 (* -2 re) (- (* (* (sqrt 2.0) +nan.0) (- (* re im) (- (* im im) im)))) 0 (+ (* (- (sqrt 2.0)) +nan.0) (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 2.682 * * * [progress]: adding candidates to table 3.022 * * [progress]: iteration 2 / 4 3.022 * * * [progress]: picking best candidate 3.064 * * * * [pick]: Picked # 3.064 * * * [progress]: localizing error 3.101 * * * [progress]: generating rewritten candidates 3.101 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 3.109 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 3.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 3.125 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 3.164 * * * [progress]: generating series expansions 3.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 3.164 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.165 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.165 * [taylor]: Taking taylor expansion of im in im 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.165 * [taylor]: Taking taylor expansion of re in im 3.165 * [backup-simplify]: Simplify re into re 3.165 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.165 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.166 * [taylor]: Taking taylor expansion of im in re 3.166 * [backup-simplify]: Simplify im into im 3.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.166 * [taylor]: Taking taylor expansion of re in re 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.167 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.167 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.167 * [taylor]: Taking taylor expansion of im in re 3.167 * [backup-simplify]: Simplify im into im 3.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.168 * [taylor]: Taking taylor expansion of re in re 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.168 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.169 * [taylor]: Taking taylor expansion of im in im 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [taylor]: Taking taylor expansion of 0 in im 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.170 * [backup-simplify]: Simplify (* 1 1) into 1 3.170 * [backup-simplify]: Simplify (+ 0 1) into 1 3.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.171 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.171 * [taylor]: Taking taylor expansion of 1/2 in im 3.171 * [backup-simplify]: Simplify 1/2 into 1/2 3.171 * [taylor]: Taking taylor expansion of im in im 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.175 * [taylor]: Taking taylor expansion of 0 in im 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.177 * [taylor]: Taking taylor expansion of re in im 3.177 * [backup-simplify]: Simplify re into re 3.177 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.177 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.177 * [taylor]: Taking taylor expansion of im in im 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 1 into 1 3.177 * [backup-simplify]: Simplify (* 1 1) into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [backup-simplify]: Simplify (+ 0 1) into 1 3.179 * [backup-simplify]: Simplify (sqrt 1) into 1 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ 0 0) into 0 3.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.181 * [taylor]: Taking taylor expansion of re in re 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.182 * [backup-simplify]: Simplify (* 1 1) into 1 3.182 * [backup-simplify]: Simplify (/ 1 1) into 1 3.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.182 * [taylor]: Taking taylor expansion of im in re 3.182 * [backup-simplify]: Simplify im into im 3.182 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.182 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.183 * [backup-simplify]: Simplify (+ 1 0) into 1 3.183 * [backup-simplify]: Simplify (sqrt 1) into 1 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 0) into 0 3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.186 * [taylor]: Taking taylor expansion of re in re 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (* 1 1) into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.187 * [taylor]: Taking taylor expansion of im in re 3.187 * [backup-simplify]: Simplify im into im 3.187 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.188 * [backup-simplify]: Simplify (+ 1 0) into 1 3.188 * [backup-simplify]: Simplify (sqrt 1) into 1 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.190 * [taylor]: Taking taylor expansion of 1 in im 3.190 * [backup-simplify]: Simplify 1 into 1 3.191 * [taylor]: Taking taylor expansion of 0 in im 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.194 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.194 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.194 * [taylor]: Taking taylor expansion of 1/2 in im 3.194 * [backup-simplify]: Simplify 1/2 into 1/2 3.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.194 * [taylor]: Taking taylor expansion of im in im 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (* 1 1) into 1 3.195 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.200 * [backup-simplify]: Simplify (+ 0 0) into 0 3.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.201 * [taylor]: Taking taylor expansion of 0 in im 3.201 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.203 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.203 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.203 * [taylor]: Taking taylor expansion of re in im 3.203 * [backup-simplify]: Simplify re into re 3.203 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.204 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.204 * [taylor]: Taking taylor expansion of im in im 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.204 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [backup-simplify]: Simplify (+ 0 1) into 1 3.205 * [backup-simplify]: Simplify (sqrt 1) into 1 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.208 * [taylor]: Taking taylor expansion of re in re 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [backup-simplify]: Simplify (* 1 1) into 1 3.209 * [backup-simplify]: Simplify (/ 1 1) into 1 3.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.209 * [taylor]: Taking taylor expansion of im in re 3.209 * [backup-simplify]: Simplify im into im 3.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.210 * [backup-simplify]: Simplify (+ 1 0) into 1 3.210 * [backup-simplify]: Simplify (sqrt 1) into 1 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ 0 0) into 0 3.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.213 * [taylor]: Taking taylor expansion of re in re 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 1 into 1 3.213 * [backup-simplify]: Simplify (* 1 1) into 1 3.214 * [backup-simplify]: Simplify (/ 1 1) into 1 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.214 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.214 * [taylor]: Taking taylor expansion of im in re 3.214 * [backup-simplify]: Simplify im into im 3.214 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.214 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.214 * [backup-simplify]: Simplify (+ 1 0) into 1 3.215 * [backup-simplify]: Simplify (sqrt 1) into 1 3.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.218 * [taylor]: Taking taylor expansion of 1 in im 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [taylor]: Taking taylor expansion of 0 in im 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.221 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.221 * [taylor]: Taking taylor expansion of 1/2 in im 3.221 * [backup-simplify]: Simplify 1/2 into 1/2 3.221 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.221 * [taylor]: Taking taylor expansion of im in im 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.222 * [backup-simplify]: Simplify (* 1 1) into 1 3.222 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.227 * [backup-simplify]: Simplify (+ 0 0) into 0 3.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.228 * [taylor]: Taking taylor expansion of 0 in im 3.228 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.230 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) 3.230 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.230 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.230 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.230 * [taylor]: Taking taylor expansion of im in im 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.230 * [taylor]: Taking taylor expansion of re in im 3.231 * [backup-simplify]: Simplify re into re 3.231 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.231 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.231 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.231 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.232 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.232 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.232 * [taylor]: Taking taylor expansion of im in re 3.232 * [backup-simplify]: Simplify im into im 3.232 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.232 * [taylor]: Taking taylor expansion of re in re 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.232 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.233 * [backup-simplify]: Simplify (+ 0 0) into 0 3.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.233 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.233 * [taylor]: Taking taylor expansion of im in re 3.233 * [backup-simplify]: Simplify im into im 3.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.233 * [taylor]: Taking taylor expansion of re in re 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.233 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.234 * [taylor]: Taking taylor expansion of im in im 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [taylor]: Taking taylor expansion of 0 in im 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.235 * [backup-simplify]: Simplify (+ 0 1) into 1 3.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.235 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.235 * [taylor]: Taking taylor expansion of 1/2 in im 3.235 * [backup-simplify]: Simplify 1/2 into 1/2 3.235 * [taylor]: Taking taylor expansion of im in im 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.239 * [taylor]: Taking taylor expansion of 0 in im 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.240 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.240 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.240 * [taylor]: Taking taylor expansion of re in im 3.240 * [backup-simplify]: Simplify re into re 3.240 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.240 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.240 * [taylor]: Taking taylor expansion of im in im 3.240 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [backup-simplify]: Simplify (+ 0 1) into 1 3.242 * [backup-simplify]: Simplify (sqrt 1) into 1 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.244 * [taylor]: Taking taylor expansion of re in re 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.245 * [backup-simplify]: Simplify (* 1 1) into 1 3.245 * [backup-simplify]: Simplify (/ 1 1) into 1 3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.245 * [taylor]: Taking taylor expansion of im in re 3.245 * [backup-simplify]: Simplify im into im 3.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.246 * [backup-simplify]: Simplify (+ 1 0) into 1 3.246 * [backup-simplify]: Simplify (sqrt 1) into 1 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.249 * [taylor]: Taking taylor expansion of re in re 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.250 * [taylor]: Taking taylor expansion of im in re 3.250 * [backup-simplify]: Simplify im into im 3.250 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.250 * [backup-simplify]: Simplify (+ 1 0) into 1 3.251 * [backup-simplify]: Simplify (sqrt 1) into 1 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ 0 0) into 0 3.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.253 * [taylor]: Taking taylor expansion of 1 in im 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [taylor]: Taking taylor expansion of 0 in im 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.256 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.256 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.256 * [taylor]: Taking taylor expansion of 1/2 in im 3.256 * [backup-simplify]: Simplify 1/2 into 1/2 3.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.256 * [taylor]: Taking taylor expansion of im in im 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.257 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.261 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.262 * [taylor]: Taking taylor expansion of 0 in im 3.262 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.265 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.265 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.265 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.265 * [taylor]: Taking taylor expansion of re in im 3.265 * [backup-simplify]: Simplify re into re 3.265 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.265 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.265 * [taylor]: Taking taylor expansion of im in im 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (* 1 1) into 1 3.266 * [backup-simplify]: Simplify (/ 1 1) into 1 3.266 * [backup-simplify]: Simplify (+ 0 1) into 1 3.266 * [backup-simplify]: Simplify (sqrt 1) into 1 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.268 * [taylor]: Taking taylor expansion of re in re 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (* 1 1) into 1 3.269 * [backup-simplify]: Simplify (/ 1 1) into 1 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.269 * [taylor]: Taking taylor expansion of im in re 3.269 * [backup-simplify]: Simplify im into im 3.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.269 * [backup-simplify]: Simplify (+ 1 0) into 1 3.270 * [backup-simplify]: Simplify (sqrt 1) into 1 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (+ 0 0) into 0 3.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.271 * [taylor]: Taking taylor expansion of re in re 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (* 1 1) into 1 3.272 * [backup-simplify]: Simplify (/ 1 1) into 1 3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.272 * [taylor]: Taking taylor expansion of im in re 3.272 * [backup-simplify]: Simplify im into im 3.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.272 * [backup-simplify]: Simplify (+ 1 0) into 1 3.272 * [backup-simplify]: Simplify (sqrt 1) into 1 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.274 * [taylor]: Taking taylor expansion of 1 in im 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [taylor]: Taking taylor expansion of 0 in im 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.276 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.276 * [taylor]: Taking taylor expansion of 1/2 in im 3.276 * [backup-simplify]: Simplify 1/2 into 1/2 3.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.276 * [taylor]: Taking taylor expansion of im in im 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (* 1 1) into 1 3.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.280 * [taylor]: Taking taylor expansion of 0 in im 3.280 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.281 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 3.282 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.282 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.282 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.282 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.282 * [taylor]: Taking taylor expansion of im in im 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.282 * [taylor]: Taking taylor expansion of re in im 3.282 * [backup-simplify]: Simplify re into re 3.282 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.282 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.282 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.282 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.282 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.282 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.282 * [taylor]: Taking taylor expansion of im in re 3.282 * [backup-simplify]: Simplify im into im 3.282 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.282 * [taylor]: Taking taylor expansion of re in re 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.283 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.283 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.283 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.283 * [taylor]: Taking taylor expansion of im in re 3.283 * [backup-simplify]: Simplify im into im 3.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.283 * [taylor]: Taking taylor expansion of re in re 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.283 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.283 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.284 * [taylor]: Taking taylor expansion of im in im 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [taylor]: Taking taylor expansion of 0 in im 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.285 * [backup-simplify]: Simplify (+ 0 1) into 1 3.285 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.285 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.285 * [taylor]: Taking taylor expansion of 1/2 in im 3.285 * [backup-simplify]: Simplify 1/2 into 1/2 3.285 * [taylor]: Taking taylor expansion of im in im 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.289 * [taylor]: Taking taylor expansion of 0 in im 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.290 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.290 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.290 * [taylor]: Taking taylor expansion of re in im 3.290 * [backup-simplify]: Simplify re into re 3.290 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.290 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.290 * [taylor]: Taking taylor expansion of im in im 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (* 1 1) into 1 3.291 * [backup-simplify]: Simplify (/ 1 1) into 1 3.291 * [backup-simplify]: Simplify (+ 0 1) into 1 3.291 * [backup-simplify]: Simplify (sqrt 1) into 1 3.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.293 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.293 * [taylor]: Taking taylor expansion of re in re 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.293 * [backup-simplify]: Simplify (/ 1 1) into 1 3.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.293 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.293 * [taylor]: Taking taylor expansion of im in re 3.294 * [backup-simplify]: Simplify im into im 3.294 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.294 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.294 * [backup-simplify]: Simplify (+ 1 0) into 1 3.294 * [backup-simplify]: Simplify (sqrt 1) into 1 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.296 * [taylor]: Taking taylor expansion of re in re 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (* 1 1) into 1 3.296 * [backup-simplify]: Simplify (/ 1 1) into 1 3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.296 * [taylor]: Taking taylor expansion of im in re 3.296 * [backup-simplify]: Simplify im into im 3.296 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.297 * [backup-simplify]: Simplify (+ 1 0) into 1 3.297 * [backup-simplify]: Simplify (sqrt 1) into 1 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.299 * [taylor]: Taking taylor expansion of 1 in im 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [taylor]: Taking taylor expansion of 0 in im 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.301 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.301 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.301 * [taylor]: Taking taylor expansion of 1/2 in im 3.301 * [backup-simplify]: Simplify 1/2 into 1/2 3.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.301 * [taylor]: Taking taylor expansion of im in im 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (* 1 1) into 1 3.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.305 * [taylor]: Taking taylor expansion of 0 in im 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.307 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.307 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.307 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.308 * [taylor]: Taking taylor expansion of re in im 3.308 * [backup-simplify]: Simplify re into re 3.308 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.308 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.308 * [taylor]: Taking taylor expansion of im in im 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.309 * [backup-simplify]: Simplify (+ 0 1) into 1 3.310 * [backup-simplify]: Simplify (sqrt 1) into 1 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.312 * [taylor]: Taking taylor expansion of re in re 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (* 1 1) into 1 3.313 * [backup-simplify]: Simplify (/ 1 1) into 1 3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.313 * [taylor]: Taking taylor expansion of im in re 3.313 * [backup-simplify]: Simplify im into im 3.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.313 * [backup-simplify]: Simplify (+ 1 0) into 1 3.314 * [backup-simplify]: Simplify (sqrt 1) into 1 3.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.315 * [taylor]: Taking taylor expansion of re in re 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (* 1 1) into 1 3.316 * [backup-simplify]: Simplify (/ 1 1) into 1 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.316 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.316 * [taylor]: Taking taylor expansion of im in re 3.316 * [backup-simplify]: Simplify im into im 3.316 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.316 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.316 * [backup-simplify]: Simplify (+ 1 0) into 1 3.316 * [backup-simplify]: Simplify (sqrt 1) into 1 3.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.318 * [taylor]: Taking taylor expansion of 1 in im 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [taylor]: Taking taylor expansion of 0 in im 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.320 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.320 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.320 * [taylor]: Taking taylor expansion of 1/2 in im 3.320 * [backup-simplify]: Simplify 1/2 into 1/2 3.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.320 * [taylor]: Taking taylor expansion of im in im 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (* 1 1) into 1 3.321 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.323 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.324 * [taylor]: Taking taylor expansion of 0 in im 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.325 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 3.325 * [backup-simplify]: Simplify (cbrt (- (sqrt (+ (* re re) (* im im))) re)) into (pow (- (sqrt (+ (pow im 2) (pow re 2))) re) 1/3) 3.325 * [approximate]: Taking taylor expansion of (pow (- (sqrt (+ (pow im 2) (pow re 2))) re) 1/3) in (re im) around 0 3.325 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (pow im 2) (pow re 2))) re) 1/3) in im 3.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 3.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 3.325 * [taylor]: Taking taylor expansion of 1/3 in im 3.325 * [backup-simplify]: Simplify 1/3 into 1/3 3.325 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 3.325 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.325 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.325 * [taylor]: Taking taylor expansion of im in im 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.325 * [taylor]: Taking taylor expansion of re in im 3.325 * [backup-simplify]: Simplify re into re 3.325 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.326 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.326 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.326 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.326 * [taylor]: Taking taylor expansion of re in im 3.326 * [backup-simplify]: Simplify re into re 3.326 * [backup-simplify]: Simplify (- re) into (- re) 3.326 * [backup-simplify]: Simplify (+ re (- re)) into 0 3.326 * [backup-simplify]: Simplify (- 0) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.327 * [backup-simplify]: Simplify (+ 1 0) into 1 3.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 3.328 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 re))) into (log (/ 1/2 re)) 3.329 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) (log (/ 1/2 re))) into (+ (* 2 (log im)) (log (/ 1/2 re))) 3.329 * [backup-simplify]: Simplify (* 1/3 (+ (* 2 (log im)) (log (/ 1/2 re)))) into (* 1/3 (+ (* 2 (log im)) (log (/ 1/2 re)))) 3.329 * [backup-simplify]: Simplify (exp (* 1/3 (+ (* 2 (log im)) (log (/ 1/2 re))))) into (exp (* 1/3 (+ (* 2 (log im)) (log (/ 1/2 re))))) 3.329 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (pow im 2) (pow re 2))) re) 1/3) in re 3.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 3.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 3.329 * [taylor]: Taking taylor expansion of 1/3 in re 3.329 * [backup-simplify]: Simplify 1/3 into 1/3 3.329 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 3.329 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.329 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.329 * [taylor]: Taking taylor expansion of im in re 3.329 * [backup-simplify]: Simplify im into im 3.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.329 * [taylor]: Taking taylor expansion of re in re 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.329 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.330 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.330 * [taylor]: Taking taylor expansion of re in re 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (- 0) into 0 3.330 * [backup-simplify]: Simplify (+ im 0) into im 3.330 * [backup-simplify]: Simplify (log im) into (log im) 3.330 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 3.330 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 3.330 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (pow im 2) (pow re 2))) re) 1/3) in re 3.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 3.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 3.331 * [taylor]: Taking taylor expansion of 1/3 in re 3.331 * [backup-simplify]: Simplify 1/3 into 1/3 3.331 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 3.331 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.331 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.331 * [taylor]: Taking taylor expansion of im in re 3.331 * [backup-simplify]: Simplify im into im 3.331 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.331 * [taylor]: Taking taylor expansion of re in re 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.331 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.331 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.331 * [taylor]: Taking taylor expansion of re in re 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (- 0) into 0 3.332 * [backup-simplify]: Simplify (+ im 0) into im 3.332 * [backup-simplify]: Simplify (log im) into (log im) 3.332 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 3.332 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 3.332 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 3.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 3.332 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 3.332 * [taylor]: Taking taylor expansion of 1/3 in im 3.332 * [backup-simplify]: Simplify 1/3 into 1/3 3.332 * [taylor]: Taking taylor expansion of (log im) in im 3.332 * [taylor]: Taking taylor expansion of im in im 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (log 1) into 0 3.332 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.332 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 3.333 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 3.333 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 3.333 * [backup-simplify]: Simplify (- 1) into -1 3.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow im 1)))) 1) into (/ -1 im) 3.334 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 im)) (* 0 (log im))) into (- (* 1/3 (/ 1 im))) 3.335 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow (- (* 1/3 (/ 1 im))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) 3.335 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 3.335 * [taylor]: Taking taylor expansion of -1/3 in im 3.335 * [backup-simplify]: Simplify -1/3 into -1/3 3.335 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 3.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 3.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 3.335 * [taylor]: Taking taylor expansion of 1/3 in im 3.335 * [backup-simplify]: Simplify 1/3 into 1/3 3.335 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.335 * [taylor]: Taking taylor expansion of im in im 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 1 into 1 3.335 * [backup-simplify]: Simplify (* 1 1) into 1 3.335 * [backup-simplify]: Simplify (/ 1 1) into 1 3.336 * [backup-simplify]: Simplify (log 1) into 0 3.336 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.336 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.336 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.336 * [backup-simplify]: Simplify (* -1/3 (pow im -2/3)) into (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) 3.336 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) 3.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.337 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 3.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (+ 0 1) into 1 3.340 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.340 * [backup-simplify]: Simplify (- 0) into 0 3.340 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.341 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 im))) 1)) (pow im 1)))) 2) into 0 3.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ -1 im)) (* 0 (log im)))) into 0 3.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow (- (* 1/3 (/ 1 im))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) 3.343 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 3.343 * [taylor]: Taking taylor expansion of 1/18 in im 3.343 * [backup-simplify]: Simplify 1/18 into 1/18 3.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 3.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 3.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 3.343 * [taylor]: Taking taylor expansion of 1/3 in im 3.343 * [backup-simplify]: Simplify 1/3 into 1/3 3.343 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 3.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 3.343 * [taylor]: Taking taylor expansion of (pow im 5) in im 3.343 * [taylor]: Taking taylor expansion of im in im 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (* 1 1) into 1 3.344 * [backup-simplify]: Simplify (* 1 1) into 1 3.344 * [backup-simplify]: Simplify (* 1 1) into 1 3.345 * [backup-simplify]: Simplify (/ 1 1) into 1 3.345 * [backup-simplify]: Simplify (log 1) into 0 3.345 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 3.346 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 3.346 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 3.346 * [backup-simplify]: Simplify (* 1/18 (pow im -5/3)) into (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) 3.346 * [backup-simplify]: Simplify (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) 3.347 * [backup-simplify]: Simplify (+ (* (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (+ (* (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) (* 1 re)) (pow im 1/3))) into (- (+ (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3)))) 3.347 * [backup-simplify]: Simplify (cbrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (pow (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 1/3) 3.347 * [approximate]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 1/3) in (re im) around 0 3.347 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 1/3) in im 3.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 3.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.347 * [taylor]: Taking taylor expansion of 1/3 in im 3.347 * [backup-simplify]: Simplify 1/3 into 1/3 3.347 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.347 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.348 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.348 * [taylor]: Taking taylor expansion of re in im 3.348 * [backup-simplify]: Simplify re into re 3.348 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.348 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.348 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.348 * [taylor]: Taking taylor expansion of im in im 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [backup-simplify]: Simplify (* 1 1) into 1 3.349 * [backup-simplify]: Simplify (/ 1 1) into 1 3.349 * [backup-simplify]: Simplify (+ 0 1) into 1 3.350 * [backup-simplify]: Simplify (sqrt 1) into 1 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.352 * [taylor]: Taking taylor expansion of re in im 3.352 * [backup-simplify]: Simplify re into re 3.352 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.353 * [backup-simplify]: Simplify (+ 1 0) into 1 3.353 * [backup-simplify]: Simplify (log 1) into 0 3.353 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 3.354 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 3.354 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 3.354 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 1/3) in re 3.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 3.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.354 * [taylor]: Taking taylor expansion of 1/3 in re 3.354 * [backup-simplify]: Simplify 1/3 into 1/3 3.354 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.354 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.354 * [taylor]: Taking taylor expansion of re in re 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (* 1 1) into 1 3.355 * [backup-simplify]: Simplify (/ 1 1) into 1 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.355 * [taylor]: Taking taylor expansion of im in re 3.355 * [backup-simplify]: Simplify im into im 3.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.355 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.356 * [backup-simplify]: Simplify (+ 1 0) into 1 3.356 * [backup-simplify]: Simplify (sqrt 1) into 1 3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.359 * [taylor]: Taking taylor expansion of re in re 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.360 * [backup-simplify]: Simplify (- 1) into -1 3.360 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.365 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (- 0) into 0 3.367 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.367 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 3.367 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.368 * [backup-simplify]: Simplify (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) 3.368 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) 3.368 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 1/3) in re 3.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 3.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.368 * [taylor]: Taking taylor expansion of 1/3 in re 3.368 * [backup-simplify]: Simplify 1/3 into 1/3 3.368 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.368 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.368 * [taylor]: Taking taylor expansion of re in re 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (* 1 1) into 1 3.369 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.369 * [taylor]: Taking taylor expansion of im in re 3.369 * [backup-simplify]: Simplify im into im 3.369 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.369 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.370 * [backup-simplify]: Simplify (+ 1 0) into 1 3.370 * [backup-simplify]: Simplify (sqrt 1) into 1 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.373 * [taylor]: Taking taylor expansion of re in re 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (/ 1 1) into 1 3.373 * [backup-simplify]: Simplify (- 1) into -1 3.374 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (- 0) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.378 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.380 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 3.381 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.381 * [backup-simplify]: Simplify (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) 3.381 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) 3.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im 3.381 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) in im 3.381 * [taylor]: Taking taylor expansion of 1/3 in im 3.381 * [backup-simplify]: Simplify 1/3 into 1/3 3.381 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im 3.381 * [taylor]: Taking taylor expansion of (log re) in im 3.381 * [taylor]: Taking taylor expansion of re in im 3.381 * [backup-simplify]: Simplify re into re 3.381 * [backup-simplify]: Simplify (log re) into (log re) 3.381 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 3.381 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.381 * [taylor]: Taking taylor expansion of 1/2 in im 3.381 * [backup-simplify]: Simplify 1/2 into 1/2 3.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.382 * [taylor]: Taking taylor expansion of im in im 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (* 1 1) into 1 3.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.383 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 3.384 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 3.384 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im))) 3.384 * [backup-simplify]: Simplify (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) 3.385 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.386 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (- 0) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 1) into 0 3.392 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.393 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))) into 0 3.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.394 * [taylor]: Taking taylor expansion of 0 in im 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 3.398 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0 3.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (- 0) into 0 3.406 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 2) into (/ -1/4 (pow im 2)) 3.409 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.409 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2))))))) into (- (* 1/12 (/ 1 (pow im 2)))) 3.414 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow im 2)))) 1) 1)))) into (* -1/12 (/ (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) 3.414 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) in im 3.414 * [taylor]: Taking taylor expansion of -1/12 in im 3.414 * [backup-simplify]: Simplify -1/12 into -1/12 3.414 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)) in im 3.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im 3.414 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) in im 3.414 * [taylor]: Taking taylor expansion of 1/3 in im 3.414 * [backup-simplify]: Simplify 1/3 into 1/3 3.414 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im 3.414 * [taylor]: Taking taylor expansion of (log re) in im 3.414 * [taylor]: Taking taylor expansion of re in im 3.414 * [backup-simplify]: Simplify re into re 3.414 * [backup-simplify]: Simplify (log re) into (log re) 3.414 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 3.414 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.414 * [taylor]: Taking taylor expansion of 1/2 in im 3.414 * [backup-simplify]: Simplify 1/2 into 1/2 3.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.414 * [taylor]: Taking taylor expansion of im in im 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (* 1 1) into 1 3.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.416 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 3.417 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 3.417 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im))) 3.418 * [backup-simplify]: Simplify (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) 3.419 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.419 * [taylor]: Taking taylor expansion of im in im 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 1) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 3.424 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0 3.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0 3.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.438 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ (* -1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))))))) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 3.451 * [backup-simplify]: Simplify (+ 0 0) into 0 3.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0 3.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.458 * [backup-simplify]: Simplify (+ 0 0) into 0 3.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (- 0) into 0 3.459 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 6) into 0 3.462 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))))) into 0 3.464 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/12 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.464 * [taylor]: Taking taylor expansion of 0 in im 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log (/ 1 re))) (* 2 (log (/ 1 im)))))) into (exp (* 1/3 (- (+ (log 1/2) (log (/ 1 re))) (* 2 (log (/ 1 im)))))) 3.464 * [backup-simplify]: Simplify (cbrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1/3) 3.464 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1/3) in (re im) around 0 3.464 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1/3) in im 3.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 3.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 3.464 * [taylor]: Taking taylor expansion of 1/3 in im 3.464 * [backup-simplify]: Simplify 1/3 into 1/3 3.464 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 3.464 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.465 * [taylor]: Taking taylor expansion of re in im 3.465 * [backup-simplify]: Simplify re into re 3.465 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.465 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.465 * [taylor]: Taking taylor expansion of re in im 3.465 * [backup-simplify]: Simplify re into re 3.465 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.465 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.465 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.465 * [taylor]: Taking taylor expansion of im in im 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify (* 1 1) into 1 3.465 * [backup-simplify]: Simplify (/ 1 1) into 1 3.466 * [backup-simplify]: Simplify (+ 0 1) into 1 3.466 * [backup-simplify]: Simplify (sqrt 1) into 1 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.468 * [backup-simplify]: Simplify (+ 0 1) into 1 3.468 * [backup-simplify]: Simplify (log 1) into 0 3.468 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 3.468 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 3.468 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 3.468 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1/3) in re 3.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 3.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.468 * [taylor]: Taking taylor expansion of 1/3 in re 3.468 * [backup-simplify]: Simplify 1/3 into 1/3 3.468 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.468 * [taylor]: Taking taylor expansion of re in re 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.469 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.469 * [taylor]: Taking taylor expansion of re in re 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.469 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.469 * [taylor]: Taking taylor expansion of im in re 3.469 * [backup-simplify]: Simplify im into im 3.469 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.470 * [backup-simplify]: Simplify (+ 1 0) into 1 3.470 * [backup-simplify]: Simplify (sqrt 1) into 1 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (+ 0 0) into 0 3.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.472 * [backup-simplify]: Simplify (+ 1 1) into 2 3.472 * [backup-simplify]: Simplify (log 2) into (log 2) 3.473 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.473 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.473 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.473 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1/3) in re 3.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 3.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.473 * [taylor]: Taking taylor expansion of 1/3 in re 3.473 * [backup-simplify]: Simplify 1/3 into 1/3 3.473 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.473 * [taylor]: Taking taylor expansion of re in re 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (/ 1 1) into 1 3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.474 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.474 * [taylor]: Taking taylor expansion of re in re 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (* 1 1) into 1 3.474 * [backup-simplify]: Simplify (/ 1 1) into 1 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.474 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.474 * [taylor]: Taking taylor expansion of im in re 3.474 * [backup-simplify]: Simplify im into im 3.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.475 * [backup-simplify]: Simplify (+ 1 0) into 1 3.475 * [backup-simplify]: Simplify (sqrt 1) into 1 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.477 * [backup-simplify]: Simplify (+ 1 1) into 2 3.477 * [backup-simplify]: Simplify (log 2) into (log 2) 3.477 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.478 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.478 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 3.478 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 3.478 * [taylor]: Taking taylor expansion of 1/3 in im 3.478 * [backup-simplify]: Simplify 1/3 into 1/3 3.478 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 3.478 * [taylor]: Taking taylor expansion of (log 2) in im 3.478 * [taylor]: Taking taylor expansion of 2 in im 3.478 * [backup-simplify]: Simplify 2 into 2 3.478 * [backup-simplify]: Simplify (log 2) into (log 2) 3.478 * [taylor]: Taking taylor expansion of (log re) in im 3.478 * [taylor]: Taking taylor expansion of re in im 3.478 * [backup-simplify]: Simplify re into re 3.478 * [backup-simplify]: Simplify (log re) into (log re) 3.479 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 3.479 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 3.479 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.479 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.480 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ 0 0) into 0 3.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 3.482 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log re)))) into 0 3.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.483 * [taylor]: Taking taylor expansion of 0 in im 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 3.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log re)))) into 0 3.486 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.489 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.489 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 1)))) 2) into (/ 1/4 (pow im 2)) 3.490 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.491 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into (* 1/12 (/ 1 (pow im 2))) 3.492 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) 3.492 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 3.492 * [taylor]: Taking taylor expansion of 1/12 in im 3.492 * [backup-simplify]: Simplify 1/12 into 1/12 3.492 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 3.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 3.492 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 3.492 * [taylor]: Taking taylor expansion of 1/3 in im 3.492 * [backup-simplify]: Simplify 1/3 into 1/3 3.492 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 3.492 * [taylor]: Taking taylor expansion of (log 2) in im 3.492 * [taylor]: Taking taylor expansion of 2 in im 3.492 * [backup-simplify]: Simplify 2 into 2 3.492 * [backup-simplify]: Simplify (log 2) into (log 2) 3.492 * [taylor]: Taking taylor expansion of (log re) in im 3.492 * [taylor]: Taking taylor expansion of re in im 3.492 * [backup-simplify]: Simplify re into re 3.492 * [backup-simplify]: Simplify (log re) into (log re) 3.492 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 3.493 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 3.493 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.494 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.494 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.494 * [taylor]: Taking taylor expansion of im in im 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.495 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 2) (log re)))) 1) into (exp (* 1/3 (- (log 2) (log re)))) 3.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 3.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.497 * [backup-simplify]: Simplify (- 0) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log re)))) into 0 3.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 3.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.504 * [backup-simplify]: Simplify (- 0) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.505 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0 3.507 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 2) (log re)))) (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 2) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 2) (log re))))))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 3.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.519 * [backup-simplify]: Simplify (- 0) into 0 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0 3.522 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.527 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 3.527 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re)))))) into 0 3.532 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.532 * [taylor]: Taking taylor expansion of 0 in im 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log (/ 1 (- re)))))) into (exp (* 1/3 (- (log 2) (log (/ -1 re))))) 3.532 * * * [progress]: simplifying candidates 3.532 * * * * [progress]: [ 1 / 77 ] simplifiying candidate # 3.532 * * * * [progress]: [ 2 / 77 ] simplifiying candidate # 3.532 * * * * [progress]: [ 3 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 4 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 5 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 6 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 7 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 8 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 9 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 10 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 11 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 12 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 13 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 14 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 15 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 16 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))> 3.533 * * * * [progress]: [ 17 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 18 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 19 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 20 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 21 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 22 / 77 ] simplifiying candidate # 3.533 * * * * [progress]: [ 23 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 24 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 25 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 26 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 27 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 28 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 29 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 30 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 31 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 32 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 3.534 * * * * [progress]: [ 33 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 34 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 35 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 36 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 37 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 38 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 39 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 40 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 41 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 42 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 43 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 44 / 77 ] simplifiying candidate # 3.534 * * * * [progress]: [ 45 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 46 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 47 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 48 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 3.535 * * * * [progress]: [ 49 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 50 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 51 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 52 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 53 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 54 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 55 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 56 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 57 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 58 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 59 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 60 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 61 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 62 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 63 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 64 / 77 ] simplifiying candidate # 3.535 * * * * [progress]: [ 65 / 77 ] simplifiying candidate #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))> 3.536 * * * * [progress]: [ 66 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 67 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 68 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 69 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 70 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 71 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 72 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 73 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 74 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 75 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 76 / 77 ] simplifiying candidate # 3.536 * * * * [progress]: [ 77 / 77 ] simplifiying candidate # 3.537 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (exp (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt 1) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt 1) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (cbrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (cbrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (+ (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3)))) (exp (* 1/3 (- (+ (log 1/2) (log (/ 1 re))) (* 2 (log (/ 1 im)))))) (exp (* 1/3 (- (log 2) (log (/ -1 re))))) 3.538 * * [simplify]: iteration 0: 104 enodes 3.561 * * [simplify]: iteration 1: 228 enodes 3.660 * * [simplify]: iteration 2: 595 enodes 3.933 * * [simplify]: iteration 3: 1908 enodes 4.563 * * [simplify]: iteration complete: 5000 enodes 4.563 * * [simplify]: Extracting #0: cost 38 inf + 0 4.564 * * [simplify]: Extracting #1: cost 113 inf + 45 4.566 * * [simplify]: Extracting #2: cost 590 inf + 597 4.576 * * [simplify]: Extracting #3: cost 1360 inf + 10483 4.601 * * [simplify]: Extracting #4: cost 1161 inf + 72876 4.665 * * [simplify]: Extracting #5: cost 439 inf + 224865 4.715 * * [simplify]: Extracting #6: cost 183 inf + 297320 4.779 * * [simplify]: Extracting #7: cost 109 inf + 318133 4.840 * * [simplify]: Extracting #8: cost 53 inf + 343839 4.905 * * [simplify]: Extracting #9: cost 3 inf + 373334 5.007 * * [simplify]: Extracting #10: cost 0 inf + 375471 5.070 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (exp (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1 (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1 (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (cbrt (+ (+ (* im im) (* re re)) (* re (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (+ 0 (* im im))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (- (sqrt (+ (* im im) (* re re))) re) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (real->posit16 (cbrt (- (sqrt (+ (* im im) (* re re))) re))) im re (- re) im re (- re) im re (- re) (+ (cbrt im) (* re (- (* (cbrt (/ 1 (pow im 5))) (* re 1/18)) (* (cbrt (/ 1 (* im im))) 1/3)))) (exp (* 1/3 (- (log 1/2) (- (log re) (* (log im) 2))))) (exp (* (- (log 2) (log (/ -1 re))) 1/3)) 5.081 * * * [progress]: adding candidates to table 5.559 * * [progress]: iteration 3 / 4 5.559 * * * [progress]: picking best candidate 5.630 * * * * [pick]: Picked # 5.630 * * * [progress]: localizing error 5.684 * * * [progress]: generating rewritten candidates 5.684 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 5.692 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 5.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 5.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 5.858 * * * [progress]: generating series expansions 5.858 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 5.858 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.858 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.858 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.858 * [taylor]: Taking taylor expansion of im in im 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.858 * [taylor]: Taking taylor expansion of re in im 5.858 * [backup-simplify]: Simplify re into re 5.858 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.858 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.859 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.859 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.859 * [backup-simplify]: Simplify (+ 0 0) into 0 5.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.860 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.860 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.860 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.860 * [taylor]: Taking taylor expansion of im in re 5.860 * [backup-simplify]: Simplify im into im 5.860 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.860 * [taylor]: Taking taylor expansion of re in re 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.860 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.860 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.860 * [backup-simplify]: Simplify (+ 0 0) into 0 5.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.861 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.861 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.861 * [taylor]: Taking taylor expansion of im in re 5.861 * [backup-simplify]: Simplify im into im 5.861 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.861 * [taylor]: Taking taylor expansion of re in re 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify 1 into 1 5.861 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.861 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.861 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.861 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.862 * [backup-simplify]: Simplify (+ 0 0) into 0 5.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.862 * [taylor]: Taking taylor expansion of im in im 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [taylor]: Taking taylor expansion of 0 in im 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.863 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.863 * [backup-simplify]: Simplify (* 1 1) into 1 5.864 * [backup-simplify]: Simplify (+ 0 1) into 1 5.865 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.865 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.865 * [taylor]: Taking taylor expansion of 1/2 in im 5.865 * [backup-simplify]: Simplify 1/2 into 1/2 5.865 * [taylor]: Taking taylor expansion of im in im 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 1 into 1 5.865 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.868 * [backup-simplify]: Simplify (+ 0 0) into 0 5.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.869 * [taylor]: Taking taylor expansion of 0 in im 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.870 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.870 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.870 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.870 * [taylor]: Taking taylor expansion of re in im 5.870 * [backup-simplify]: Simplify re into re 5.870 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.870 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.871 * [taylor]: Taking taylor expansion of im in im 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (* 1 1) into 1 5.871 * [backup-simplify]: Simplify (/ 1 1) into 1 5.872 * [backup-simplify]: Simplify (+ 0 1) into 1 5.872 * [backup-simplify]: Simplify (sqrt 1) into 1 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.873 * [backup-simplify]: Simplify (+ 0 0) into 0 5.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.874 * [taylor]: Taking taylor expansion of re in re 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 1 into 1 5.874 * [backup-simplify]: Simplify (* 1 1) into 1 5.874 * [backup-simplify]: Simplify (/ 1 1) into 1 5.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.875 * [taylor]: Taking taylor expansion of im in re 5.875 * [backup-simplify]: Simplify im into im 5.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.875 * [backup-simplify]: Simplify (+ 1 0) into 1 5.875 * [backup-simplify]: Simplify (sqrt 1) into 1 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.876 * [backup-simplify]: Simplify (+ 0 0) into 0 5.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.877 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.877 * [taylor]: Taking taylor expansion of re in re 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (/ 1 1) into 1 5.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.877 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.877 * [taylor]: Taking taylor expansion of im in re 5.877 * [backup-simplify]: Simplify im into im 5.877 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.878 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.878 * [backup-simplify]: Simplify (+ 1 0) into 1 5.878 * [backup-simplify]: Simplify (sqrt 1) into 1 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify (+ 0 0) into 0 5.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.881 * [taylor]: Taking taylor expansion of 1 in im 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [taylor]: Taking taylor expansion of 0 in im 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.883 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.883 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.883 * [taylor]: Taking taylor expansion of 1/2 in im 5.883 * [backup-simplify]: Simplify 1/2 into 1/2 5.883 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.884 * [taylor]: Taking taylor expansion of im in im 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (* 1 1) into 1 5.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.887 * [backup-simplify]: Simplify (+ 0 0) into 0 5.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.887 * [taylor]: Taking taylor expansion of 0 in im 5.887 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.889 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.889 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.889 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.889 * [taylor]: Taking taylor expansion of re in im 5.889 * [backup-simplify]: Simplify re into re 5.889 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.889 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.889 * [taylor]: Taking taylor expansion of im in im 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.889 * [backup-simplify]: Simplify (* 1 1) into 1 5.890 * [backup-simplify]: Simplify (/ 1 1) into 1 5.890 * [backup-simplify]: Simplify (+ 0 1) into 1 5.890 * [backup-simplify]: Simplify (sqrt 1) into 1 5.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify (+ 0 0) into 0 5.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.892 * [taylor]: Taking taylor expansion of re in re 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify 1 into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.892 * [backup-simplify]: Simplify (/ 1 1) into 1 5.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.892 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.892 * [taylor]: Taking taylor expansion of im in re 5.892 * [backup-simplify]: Simplify im into im 5.892 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.892 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.893 * [backup-simplify]: Simplify (+ 1 0) into 1 5.893 * [backup-simplify]: Simplify (sqrt 1) into 1 5.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.894 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.894 * [taylor]: Taking taylor expansion of re in re 5.894 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify 1 into 1 5.895 * [backup-simplify]: Simplify (* 1 1) into 1 5.895 * [backup-simplify]: Simplify (/ 1 1) into 1 5.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.895 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.895 * [taylor]: Taking taylor expansion of im in re 5.895 * [backup-simplify]: Simplify im into im 5.895 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.895 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.895 * [backup-simplify]: Simplify (+ 1 0) into 1 5.896 * [backup-simplify]: Simplify (sqrt 1) into 1 5.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.897 * [backup-simplify]: Simplify (+ 0 0) into 0 5.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.897 * [taylor]: Taking taylor expansion of 1 in im 5.897 * [backup-simplify]: Simplify 1 into 1 5.897 * [taylor]: Taking taylor expansion of 0 in im 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.899 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.899 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.899 * [taylor]: Taking taylor expansion of 1/2 in im 5.899 * [backup-simplify]: Simplify 1/2 into 1/2 5.899 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.899 * [taylor]: Taking taylor expansion of im in im 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (* 1 1) into 1 5.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.903 * [backup-simplify]: Simplify (+ 0 0) into 0 5.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.903 * [taylor]: Taking taylor expansion of 0 in im 5.903 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.904 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 5.904 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.904 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.904 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.904 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.905 * [taylor]: Taking taylor expansion of im in im 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.905 * [taylor]: Taking taylor expansion of re in im 5.905 * [backup-simplify]: Simplify re into re 5.905 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.905 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.905 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.905 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.905 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.905 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.905 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.905 * [taylor]: Taking taylor expansion of im in re 5.905 * [backup-simplify]: Simplify im into im 5.905 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.905 * [taylor]: Taking taylor expansion of re in re 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.905 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.906 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.906 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.906 * [backup-simplify]: Simplify (+ 0 0) into 0 5.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.906 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.906 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.906 * [taylor]: Taking taylor expansion of im in re 5.906 * [backup-simplify]: Simplify im into im 5.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.906 * [taylor]: Taking taylor expansion of re in re 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.906 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.906 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.906 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.907 * [backup-simplify]: Simplify (+ 0 0) into 0 5.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.907 * [taylor]: Taking taylor expansion of im in im 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 1 into 1 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [taylor]: Taking taylor expansion of 0 in im 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 1 into 1 5.907 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.907 * [backup-simplify]: Simplify (* 1 1) into 1 5.908 * [backup-simplify]: Simplify (+ 0 1) into 1 5.908 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.908 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.908 * [taylor]: Taking taylor expansion of 1/2 in im 5.908 * [backup-simplify]: Simplify 1/2 into 1/2 5.908 * [taylor]: Taking taylor expansion of im in im 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 1 into 1 5.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.910 * [backup-simplify]: Simplify (+ 0 0) into 0 5.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.910 * [taylor]: Taking taylor expansion of 0 in im 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.911 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.911 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.911 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.911 * [taylor]: Taking taylor expansion of re in im 5.911 * [backup-simplify]: Simplify re into re 5.911 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.911 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.912 * [taylor]: Taking taylor expansion of im in im 5.912 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify 1 into 1 5.912 * [backup-simplify]: Simplify (* 1 1) into 1 5.912 * [backup-simplify]: Simplify (/ 1 1) into 1 5.912 * [backup-simplify]: Simplify (+ 0 1) into 1 5.913 * [backup-simplify]: Simplify (sqrt 1) into 1 5.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.914 * [backup-simplify]: Simplify (+ 0 0) into 0 5.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.914 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.914 * [taylor]: Taking taylor expansion of re in re 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (* 1 1) into 1 5.915 * [backup-simplify]: Simplify (/ 1 1) into 1 5.915 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.915 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.915 * [taylor]: Taking taylor expansion of im in re 5.915 * [backup-simplify]: Simplify im into im 5.915 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.915 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.915 * [backup-simplify]: Simplify (+ 1 0) into 1 5.915 * [backup-simplify]: Simplify (sqrt 1) into 1 5.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.916 * [backup-simplify]: Simplify (+ 0 0) into 0 5.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.917 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.917 * [taylor]: Taking taylor expansion of re in re 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 1 into 1 5.918 * [backup-simplify]: Simplify (* 1 1) into 1 5.918 * [backup-simplify]: Simplify (/ 1 1) into 1 5.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.918 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.918 * [taylor]: Taking taylor expansion of im in re 5.918 * [backup-simplify]: Simplify im into im 5.918 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.918 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.919 * [backup-simplify]: Simplify (+ 1 0) into 1 5.919 * [backup-simplify]: Simplify (sqrt 1) into 1 5.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify (+ 0 0) into 0 5.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.922 * [taylor]: Taking taylor expansion of 1 in im 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [taylor]: Taking taylor expansion of 0 in im 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.926 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.926 * [taylor]: Taking taylor expansion of 1/2 in im 5.926 * [backup-simplify]: Simplify 1/2 into 1/2 5.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.926 * [taylor]: Taking taylor expansion of im in im 5.926 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify 1 into 1 5.926 * [backup-simplify]: Simplify (* 1 1) into 1 5.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.932 * [taylor]: Taking taylor expansion of 0 in im 5.932 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.934 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.934 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.934 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.934 * [taylor]: Taking taylor expansion of re in im 5.934 * [backup-simplify]: Simplify re into re 5.934 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.934 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.934 * [taylor]: Taking taylor expansion of im in im 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [backup-simplify]: Simplify (* 1 1) into 1 5.935 * [backup-simplify]: Simplify (/ 1 1) into 1 5.935 * [backup-simplify]: Simplify (+ 0 1) into 1 5.935 * [backup-simplify]: Simplify (sqrt 1) into 1 5.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.936 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.937 * [taylor]: Taking taylor expansion of re in re 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 1 into 1 5.937 * [backup-simplify]: Simplify (* 1 1) into 1 5.937 * [backup-simplify]: Simplify (/ 1 1) into 1 5.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.937 * [taylor]: Taking taylor expansion of im in re 5.937 * [backup-simplify]: Simplify im into im 5.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.938 * [backup-simplify]: Simplify (+ 1 0) into 1 5.938 * [backup-simplify]: Simplify (sqrt 1) into 1 5.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.939 * [backup-simplify]: Simplify (+ 0 0) into 0 5.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.939 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.939 * [taylor]: Taking taylor expansion of re in re 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.940 * [backup-simplify]: Simplify (* 1 1) into 1 5.940 * [backup-simplify]: Simplify (/ 1 1) into 1 5.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.940 * [taylor]: Taking taylor expansion of im in re 5.940 * [backup-simplify]: Simplify im into im 5.940 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.940 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.940 * [backup-simplify]: Simplify (+ 1 0) into 1 5.941 * [backup-simplify]: Simplify (sqrt 1) into 1 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (+ 0 0) into 0 5.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.942 * [taylor]: Taking taylor expansion of 1 in im 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [taylor]: Taking taylor expansion of 0 in im 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.943 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.944 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.944 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.944 * [taylor]: Taking taylor expansion of 1/2 in im 5.944 * [backup-simplify]: Simplify 1/2 into 1/2 5.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.944 * [taylor]: Taking taylor expansion of im in im 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 1 into 1 5.945 * [backup-simplify]: Simplify (* 1 1) into 1 5.945 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.947 * [backup-simplify]: Simplify (+ 0 0) into 0 5.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.948 * [taylor]: Taking taylor expansion of 0 in im 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 5.949 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.949 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.949 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.949 * [taylor]: Taking taylor expansion of im in im 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.949 * [taylor]: Taking taylor expansion of re in im 5.949 * [backup-simplify]: Simplify re into re 5.950 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.950 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.950 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.950 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.950 * [backup-simplify]: Simplify (+ 0 0) into 0 5.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.950 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.950 * [taylor]: Taking taylor expansion of im in re 5.950 * [backup-simplify]: Simplify im into im 5.950 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.950 * [taylor]: Taking taylor expansion of re in re 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.950 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.950 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.951 * [backup-simplify]: Simplify (+ 0 0) into 0 5.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.951 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.951 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.951 * [taylor]: Taking taylor expansion of im in re 5.951 * [backup-simplify]: Simplify im into im 5.951 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.951 * [taylor]: Taking taylor expansion of re in re 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.951 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.951 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.951 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.951 * [backup-simplify]: Simplify (+ 0 0) into 0 5.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.952 * [taylor]: Taking taylor expansion of im in im 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [taylor]: Taking taylor expansion of 0 in im 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.952 * [backup-simplify]: Simplify (* 1 1) into 1 5.953 * [backup-simplify]: Simplify (+ 0 1) into 1 5.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.953 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.953 * [taylor]: Taking taylor expansion of 1/2 in im 5.953 * [backup-simplify]: Simplify 1/2 into 1/2 5.953 * [taylor]: Taking taylor expansion of im in im 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 1 into 1 5.953 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.955 * [backup-simplify]: Simplify (+ 0 0) into 0 5.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.955 * [taylor]: Taking taylor expansion of 0 in im 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.956 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.956 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.956 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.956 * [taylor]: Taking taylor expansion of re in im 5.956 * [backup-simplify]: Simplify re into re 5.956 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.956 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.956 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.956 * [taylor]: Taking taylor expansion of im in im 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.957 * [backup-simplify]: Simplify (* 1 1) into 1 5.957 * [backup-simplify]: Simplify (/ 1 1) into 1 5.957 * [backup-simplify]: Simplify (+ 0 1) into 1 5.957 * [backup-simplify]: Simplify (sqrt 1) into 1 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.959 * [taylor]: Taking taylor expansion of re in re 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 1 into 1 5.959 * [backup-simplify]: Simplify (* 1 1) into 1 5.960 * [backup-simplify]: Simplify (/ 1 1) into 1 5.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.960 * [taylor]: Taking taylor expansion of im in re 5.960 * [backup-simplify]: Simplify im into im 5.960 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.960 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.960 * [backup-simplify]: Simplify (+ 1 0) into 1 5.960 * [backup-simplify]: Simplify (sqrt 1) into 1 5.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.963 * [taylor]: Taking taylor expansion of re in re 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (* 1 1) into 1 5.964 * [backup-simplify]: Simplify (/ 1 1) into 1 5.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.964 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.964 * [taylor]: Taking taylor expansion of im in re 5.964 * [backup-simplify]: Simplify im into im 5.964 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.965 * [backup-simplify]: Simplify (+ 1 0) into 1 5.965 * [backup-simplify]: Simplify (sqrt 1) into 1 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.967 * [backup-simplify]: Simplify (+ 0 0) into 0 5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.968 * [taylor]: Taking taylor expansion of 1 in im 5.968 * [backup-simplify]: Simplify 1 into 1 5.968 * [taylor]: Taking taylor expansion of 0 in im 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.971 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.971 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.971 * [taylor]: Taking taylor expansion of 1/2 in im 5.972 * [backup-simplify]: Simplify 1/2 into 1/2 5.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.972 * [taylor]: Taking taylor expansion of im in im 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [backup-simplify]: Simplify (* 1 1) into 1 5.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.977 * [backup-simplify]: Simplify (+ 0 0) into 0 5.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.978 * [taylor]: Taking taylor expansion of 0 in im 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.980 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.980 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.980 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.980 * [taylor]: Taking taylor expansion of re in im 5.980 * [backup-simplify]: Simplify re into re 5.980 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.981 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.981 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.981 * [taylor]: Taking taylor expansion of im in im 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify (* 1 1) into 1 5.982 * [backup-simplify]: Simplify (/ 1 1) into 1 5.982 * [backup-simplify]: Simplify (+ 0 1) into 1 5.982 * [backup-simplify]: Simplify (sqrt 1) into 1 5.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (+ 0 0) into 0 5.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.985 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.985 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.985 * [taylor]: Taking taylor expansion of re in re 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (* 1 1) into 1 5.986 * [backup-simplify]: Simplify (/ 1 1) into 1 5.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.986 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.986 * [taylor]: Taking taylor expansion of im in re 5.986 * [backup-simplify]: Simplify im into im 5.986 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.987 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.987 * [backup-simplify]: Simplify (+ 1 0) into 1 5.989 * [backup-simplify]: Simplify (sqrt 1) into 1 5.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (+ 0 0) into 0 5.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.992 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.992 * [taylor]: Taking taylor expansion of re in re 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.992 * [backup-simplify]: Simplify (* 1 1) into 1 5.993 * [backup-simplify]: Simplify (/ 1 1) into 1 5.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.993 * [taylor]: Taking taylor expansion of im in re 5.993 * [backup-simplify]: Simplify im into im 5.993 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.993 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.993 * [backup-simplify]: Simplify (+ 1 0) into 1 5.994 * [backup-simplify]: Simplify (sqrt 1) into 1 5.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (+ 0 0) into 0 5.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.996 * [taylor]: Taking taylor expansion of 1 in im 5.996 * [backup-simplify]: Simplify 1 into 1 5.996 * [taylor]: Taking taylor expansion of 0 in im 5.996 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.999 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.000 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.000 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.000 * [taylor]: Taking taylor expansion of 1/2 in im 6.000 * [backup-simplify]: Simplify 1/2 into 1/2 6.000 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.000 * [taylor]: Taking taylor expansion of im in im 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (* 1 1) into 1 6.001 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.005 * [backup-simplify]: Simplify (+ 0 0) into 0 6.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.006 * [taylor]: Taking taylor expansion of 0 in im 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.007 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 6.007 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 6.007 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 6.007 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 6.007 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.007 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.007 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.007 * [taylor]: Taking taylor expansion of im in im 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 1 into 1 6.007 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.007 * [taylor]: Taking taylor expansion of re in im 6.007 * [backup-simplify]: Simplify re into re 6.007 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.008 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.008 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.008 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.008 * [taylor]: Taking taylor expansion of re in im 6.008 * [backup-simplify]: Simplify re into re 6.008 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 6.008 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.008 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.008 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.008 * [taylor]: Taking taylor expansion of im in re 6.008 * [backup-simplify]: Simplify im into im 6.008 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.008 * [taylor]: Taking taylor expansion of re in re 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.008 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.008 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.009 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.009 * [taylor]: Taking taylor expansion of re in re 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 6.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.009 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.009 * [taylor]: Taking taylor expansion of im in re 6.009 * [backup-simplify]: Simplify im into im 6.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.009 * [taylor]: Taking taylor expansion of re in re 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.009 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.009 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.009 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.009 * [backup-simplify]: Simplify (+ 0 0) into 0 6.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.010 * [taylor]: Taking taylor expansion of re in re 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify (- 0) into 0 6.010 * [backup-simplify]: Simplify (+ im 0) into im 6.010 * [taylor]: Taking taylor expansion of im in im 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify (- 1) into -1 6.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.011 * [taylor]: Taking taylor expansion of -1 in im 6.011 * [backup-simplify]: Simplify -1 into -1 6.011 * [backup-simplify]: Simplify -1 into -1 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.011 * [backup-simplify]: Simplify (* 1 1) into 1 6.011 * [backup-simplify]: Simplify (+ 0 1) into 1 6.012 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.012 * [backup-simplify]: Simplify (- 0) into 0 6.012 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 6.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.012 * [taylor]: Taking taylor expansion of 1/2 in im 6.012 * [backup-simplify]: Simplify 1/2 into 1/2 6.012 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.012 * [taylor]: Taking taylor expansion of im in im 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.013 * [backup-simplify]: Simplify (/ 1 1) into 1 6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.015 * [backup-simplify]: Simplify (+ 0 0) into 0 6.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.015 * [backup-simplify]: Simplify (- 0) into 0 6.015 * [backup-simplify]: Simplify (+ 0 0) into 0 6.015 * [taylor]: Taking taylor expansion of 0 in im 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 6.017 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 6.017 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 6.017 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 6.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.017 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.017 * [taylor]: Taking taylor expansion of re in im 6.017 * [backup-simplify]: Simplify re into re 6.017 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.017 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.017 * [taylor]: Taking taylor expansion of im in im 6.017 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify (* 1 1) into 1 6.018 * [backup-simplify]: Simplify (/ 1 1) into 1 6.018 * [backup-simplify]: Simplify (+ 0 1) into 1 6.019 * [backup-simplify]: Simplify (sqrt 1) into 1 6.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.020 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.020 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.020 * [taylor]: Taking taylor expansion of re in im 6.020 * [backup-simplify]: Simplify re into re 6.020 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.020 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.020 * [taylor]: Taking taylor expansion of re in re 6.020 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (* 1 1) into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.021 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.021 * [taylor]: Taking taylor expansion of im in re 6.021 * [backup-simplify]: Simplify im into im 6.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.021 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.022 * [backup-simplify]: Simplify (+ 1 0) into 1 6.022 * [backup-simplify]: Simplify (sqrt 1) into 1 6.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (+ 0 0) into 0 6.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.023 * [taylor]: Taking taylor expansion of re in re 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.024 * [backup-simplify]: Simplify (/ 1 1) into 1 6.024 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.024 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.024 * [taylor]: Taking taylor expansion of re in re 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.024 * [backup-simplify]: Simplify (* 1 1) into 1 6.024 * [backup-simplify]: Simplify (/ 1 1) into 1 6.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.024 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.024 * [taylor]: Taking taylor expansion of im in re 6.024 * [backup-simplify]: Simplify im into im 6.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.024 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.025 * [backup-simplify]: Simplify (+ 1 0) into 1 6.025 * [backup-simplify]: Simplify (sqrt 1) into 1 6.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.027 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.027 * [taylor]: Taking taylor expansion of re in re 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify 1 into 1 6.027 * [backup-simplify]: Simplify (/ 1 1) into 1 6.027 * [backup-simplify]: Simplify (- 1) into -1 6.028 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.028 * [taylor]: Taking taylor expansion of 0 in im 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.028 * [backup-simplify]: Simplify (- 0) into 0 6.029 * [backup-simplify]: Simplify (+ 0 0) into 0 6.029 * [taylor]: Taking taylor expansion of 0 in im 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.030 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.031 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (- 0) into 0 6.032 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.032 * [taylor]: Taking taylor expansion of 1/2 in im 6.032 * [backup-simplify]: Simplify 1/2 into 1/2 6.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.032 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.032 * [taylor]: Taking taylor expansion of im in im 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [backup-simplify]: Simplify (* 1 1) into 1 6.032 * [backup-simplify]: Simplify (/ 1 1) into 1 6.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.035 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.035 * [backup-simplify]: Simplify (+ 0 0) into 0 6.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.036 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.037 * [taylor]: Taking taylor expansion of 0 in im 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 6.039 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 6.039 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.039 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.039 * [taylor]: Taking taylor expansion of re in im 6.039 * [backup-simplify]: Simplify re into re 6.039 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.039 * [taylor]: Taking taylor expansion of re in im 6.039 * [backup-simplify]: Simplify re into re 6.039 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.039 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.039 * [taylor]: Taking taylor expansion of im in im 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (* 1 1) into 1 6.040 * [backup-simplify]: Simplify (/ 1 1) into 1 6.040 * [backup-simplify]: Simplify (+ 0 1) into 1 6.040 * [backup-simplify]: Simplify (sqrt 1) into 1 6.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify (+ 0 0) into 0 6.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.043 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.043 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.043 * [taylor]: Taking taylor expansion of re in re 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (/ 1 1) into 1 6.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.043 * [taylor]: Taking taylor expansion of re in re 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (* 1 1) into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.045 * [taylor]: Taking taylor expansion of im in re 6.045 * [backup-simplify]: Simplify im into im 6.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.045 * [backup-simplify]: Simplify (+ 1 0) into 1 6.046 * [backup-simplify]: Simplify (sqrt 1) into 1 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.048 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.048 * [taylor]: Taking taylor expansion of re in re 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify (/ 1 1) into 1 6.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.049 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.049 * [taylor]: Taking taylor expansion of re in re 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify (* 1 1) into 1 6.050 * [backup-simplify]: Simplify (/ 1 1) into 1 6.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.050 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.050 * [taylor]: Taking taylor expansion of im in re 6.050 * [backup-simplify]: Simplify im into im 6.050 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.050 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.051 * [backup-simplify]: Simplify (+ 1 0) into 1 6.051 * [backup-simplify]: Simplify (sqrt 1) into 1 6.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.054 * [backup-simplify]: Simplify (+ 1 1) into 2 6.054 * [taylor]: Taking taylor expansion of 2 in im 6.054 * [backup-simplify]: Simplify 2 into 2 6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (+ 0 0) into 0 6.055 * [taylor]: Taking taylor expansion of 0 in im 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 2 into 2 6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.059 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.060 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.060 * [taylor]: Taking taylor expansion of 1/2 in im 6.060 * [backup-simplify]: Simplify 1/2 into 1/2 6.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.060 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.060 * [taylor]: Taking taylor expansion of im in im 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (* 1 1) into 1 6.061 * [backup-simplify]: Simplify (/ 1 1) into 1 6.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [taylor]: Taking taylor expansion of 0 in im 6.068 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 6.070 * * * [progress]: simplifying candidates 6.070 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 6.070 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 6.071 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 6.071 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 6.072 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 6.072 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 6.072 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #real (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))> 6.073 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 6.073 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 6.074 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 6.075 * * [simplify]: iteration 0: 66 enodes 6.087 * * [simplify]: iteration 1: 152 enodes 6.122 * * [simplify]: iteration 2: 340 enodes 6.249 * * [simplify]: iteration 3: 860 enodes 6.670 * * [simplify]: iteration 4: 2466 enodes 7.424 * * [simplify]: iteration complete: 5000 enodes 7.425 * * [simplify]: Extracting #0: cost 33 inf + 0 7.426 * * [simplify]: Extracting #1: cost 221 inf + 88 7.430 * * [simplify]: Extracting #2: cost 721 inf + 1503 7.442 * * [simplify]: Extracting #3: cost 1242 inf + 17404 7.483 * * [simplify]: Extracting #4: cost 913 inf + 210811 7.614 * * [simplify]: Extracting #5: cost 207 inf + 552473 7.726 * * [simplify]: Extracting #6: cost 64 inf + 636158 7.842 * * [simplify]: Extracting #7: cost 34 inf + 648139 7.944 * * [simplify]: Extracting #8: cost 7 inf + 652496 8.093 * * [simplify]: Extracting #9: cost 0 inf + 654547 8.258 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))) (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (+ (* re re) (* im im)) (* re re))) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 8.275 * * * [progress]: adding candidates to table 8.679 * * [progress]: iteration 4 / 4 8.679 * * * [progress]: picking best candidate 8.762 * * * * [pick]: Picked # 8.762 * * * [progress]: localizing error 8.843 * * * [progress]: generating rewritten candidates 8.844 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 8.859 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 8.877 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 8.885 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 9.051 * * * [progress]: generating series expansions 9.051 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 9.051 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 9.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 9.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.051 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.051 * [taylor]: Taking taylor expansion of im in im 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.051 * [taylor]: Taking taylor expansion of re in im 9.051 * [backup-simplify]: Simplify re into re 9.052 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.052 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.052 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.052 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.053 * [backup-simplify]: Simplify (+ 0 0) into 0 9.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.053 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.053 * [taylor]: Taking taylor expansion of im in re 9.053 * [backup-simplify]: Simplify im into im 9.053 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 (* im im) into (pow im 2) 9.053 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.053 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.054 * [backup-simplify]: Simplify (+ 0 0) into 0 9.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.054 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.054 * [taylor]: Taking taylor expansion of im in re 9.054 * [backup-simplify]: Simplify im into im 9.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.054 * [taylor]: Taking taylor expansion of re in re 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.055 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.055 * [backup-simplify]: Simplify (+ 0 0) into 0 9.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.055 * [taylor]: Taking taylor expansion of im in im 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.055 * [backup-simplify]: Simplify 0 into 0 9.056 * [taylor]: Taking taylor expansion of 0 in im 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify 1 into 1 9.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.057 * [backup-simplify]: Simplify (* 1 1) into 1 9.057 * [backup-simplify]: Simplify (+ 0 1) into 1 9.058 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.058 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.058 * [taylor]: Taking taylor expansion of 1/2 in im 9.058 * [backup-simplify]: Simplify 1/2 into 1/2 9.058 * [taylor]: Taking taylor expansion of im in im 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.062 * [taylor]: Taking taylor expansion of 0 in im 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.063 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.064 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.064 * [taylor]: Taking taylor expansion of re in im 9.064 * [backup-simplify]: Simplify re into re 9.064 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.064 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.064 * [taylor]: Taking taylor expansion of im in im 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 1 into 1 9.064 * [backup-simplify]: Simplify (* 1 1) into 1 9.065 * [backup-simplify]: Simplify (/ 1 1) into 1 9.065 * [backup-simplify]: Simplify (+ 0 1) into 1 9.066 * [backup-simplify]: Simplify (sqrt 1) into 1 9.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (+ 0 0) into 0 9.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.069 * [taylor]: Taking taylor expansion of re in re 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.069 * [backup-simplify]: Simplify (* 1 1) into 1 9.069 * [backup-simplify]: Simplify (/ 1 1) into 1 9.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.069 * [taylor]: Taking taylor expansion of im in re 9.069 * [backup-simplify]: Simplify im into im 9.070 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.070 * [backup-simplify]: Simplify (+ 1 0) into 1 9.071 * [backup-simplify]: Simplify (sqrt 1) into 1 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.073 * [taylor]: Taking taylor expansion of (pow re 2) 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 9.074 * [backup-simplify]: Simplify (* 1 1) into 1 9.074 * [backup-simplify]: Simplify (/ 1 1) into 1 9.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.074 * [taylor]: Taking taylor expansion of im in re 9.074 * [backup-simplify]: Simplify im into im 9.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.075 * [backup-simplify]: Simplify (+ 1 0) into 1 9.075 * [backup-simplify]: Simplify (sqrt 1) into 1 9.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.077 * [backup-simplify]: Simplify (+ 0 0) into 0 9.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.077 * [taylor]: Taking taylor expansion of 1 in im 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [taylor]: Taking taylor expansion of 0 in im 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify 1 into 1 9.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.080 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.081 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.081 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.081 * [taylor]: Taking taylor expansion of 1/2 in im 9.081 * [backup-simplify]: Simplify 1/2 into 1/2 9.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.081 * [taylor]: Taking taylor expansion of im in im 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 1 into 1 9.082 * [backup-simplify]: Simplify (* 1 1) into 1 9.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.086 * [backup-simplify]: Simplify (+ 0 0) into 0 9.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.087 * [taylor]: Taking taylor expansion of 0 in im 9.087 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.089 * [taylor]: Taking taylor expansion of re in im 9.089 * [backup-simplify]: Simplify re into re 9.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.090 * [taylor]: Taking taylor expansion of im in im 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 1 into 1 9.090 * [backup-simplify]: Simplify (* 1 1) into 1 9.091 * [backup-simplify]: Simplify (/ 1 1) into 1 9.091 * [backup-simplify]: Simplify (+ 0 1) into 1 9.091 * [backup-simplify]: Simplify (sqrt 1) into 1 9.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify (+ 0 0) into 0 9.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.094 * [taylor]: Taking taylor expansion of re in re 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 1 into 1 9.094 * [backup-simplify]: Simplify (* 1 1) into 1 9.094 * [backup-simplify]: Simplify (/ 1 1) into 1 9.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.094 * [taylor]: Taking taylor expansion of im in re 9.094 * [backup-simplify]: Simplify im into im 9.094 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.094 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.095 * [backup-simplify]: Simplify (+ 1 0) into 1 9.095 * [backup-simplify]: Simplify (sqrt 1) into 1 9.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.096 * [backup-simplify]: Simplify (+ 0 0) into 0 9.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.097 * [taylor]: Taking taylor expansion of re in re 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [backup-simplify]: Simplify (* 1 1) into 1 9.097 * [backup-simplify]: Simplify (/ 1 1) into 1 9.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.097 * [taylor]: Taking taylor expansion of im in re 9.097 * [backup-simplify]: Simplify im into im 9.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.097 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.098 * [backup-simplify]: Simplify (+ 1 0) into 1 9.098 * [backup-simplify]: Simplify (sqrt 1) into 1 9.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.099 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.100 * [taylor]: Taking taylor expansion of 1 in im 9.100 * [backup-simplify]: Simplify 1 into 1 9.100 * [taylor]: Taking taylor expansion of 0 in im 9.100 * [backup-simplify]: Simplify 0 into 0 9.100 * [backup-simplify]: Simplify 1 into 1 9.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.101 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.102 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.102 * [taylor]: Taking taylor expansion of 1/2 in im 9.102 * [backup-simplify]: Simplify 1/2 into 1/2 9.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.102 * [taylor]: Taking taylor expansion of im in im 9.102 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify 1 into 1 9.102 * [backup-simplify]: Simplify (* 1 1) into 1 9.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.105 * [backup-simplify]: Simplify (+ 0 0) into 0 9.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.105 * [taylor]: Taking taylor expansion of 0 in im 9.105 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.107 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 9.107 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 9.107 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 9.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.107 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.107 * [taylor]: Taking taylor expansion of im in im 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 1 into 1 9.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.107 * [taylor]: Taking taylor expansion of re in im 9.107 * [backup-simplify]: Simplify re into re 9.107 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.107 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.107 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.107 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.107 * [backup-simplify]: Simplify (+ 0 0) into 0 9.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.108 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.108 * [taylor]: Taking taylor expansion of im in re 9.108 * [backup-simplify]: Simplify im into im 9.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.108 * [taylor]: Taking taylor expansion of re in re 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 1 into 1 9.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.108 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.108 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.108 * [backup-simplify]: Simplify (+ 0 0) into 0 9.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.108 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.108 * [taylor]: Taking taylor expansion of im in re 9.108 * [backup-simplify]: Simplify im into im 9.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.108 * [taylor]: Taking taylor expansion of re in re 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 1 into 1 9.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.109 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.109 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.109 * [backup-simplify]: Simplify (+ 0 0) into 0 9.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.109 * [taylor]: Taking taylor expansion of im in im 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [taylor]: Taking taylor expansion of 0 in im 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.110 * [backup-simplify]: Simplify (* 1 1) into 1 9.110 * [backup-simplify]: Simplify (+ 0 1) into 1 9.110 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.111 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.111 * [taylor]: Taking taylor expansion of 1/2 in im 9.111 * [backup-simplify]: Simplify 1/2 into 1/2 9.111 * [taylor]: Taking taylor expansion of im in im 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.113 * [backup-simplify]: Simplify (+ 0 0) into 0 9.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.113 * [taylor]: Taking taylor expansion of 0 in im 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.114 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.114 * [taylor]: Taking taylor expansion of re in im 9.114 * [backup-simplify]: Simplify re into re 9.114 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.114 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.114 * [taylor]: Taking taylor expansion of im in im 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 1 into 1 9.114 * [backup-simplify]: Simplify (* 1 1) into 1 9.114 * [backup-simplify]: Simplify (/ 1 1) into 1 9.115 * [backup-simplify]: Simplify (+ 0 1) into 1 9.115 * [backup-simplify]: Simplify (sqrt 1) into 1 9.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.116 * [backup-simplify]: Simplify (+ 0 0) into 0 9.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.117 * [taylor]: Taking taylor expansion of re in re 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 1 into 1 9.117 * [backup-simplify]: Simplify (* 1 1) into 1 9.117 * [backup-simplify]: Simplify (/ 1 1) into 1 9.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.117 * [taylor]: Taking taylor expansion of im in re 9.117 * [backup-simplify]: Simplify im into im 9.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.118 * [backup-simplify]: Simplify (+ 1 0) into 1 9.118 * [backup-simplify]: Simplify (sqrt 1) into 1 9.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (+ 0 0) into 0 9.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.120 * [taylor]: Taking taylor expansion of re in re 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 (/ 1 (pow im 2)) in re 9.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.120 * [taylor]: Taking taylor expansion of im in re 9.120 * [backup-simplify]: Simplify im into im 9.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.121 * [backup-simplify]: Simplify (+ 1 0) into 1 9.121 * [backup-simplify]: Simplify (sqrt 1) into 1 9.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.123 * [backup-simplify]: Simplify (+ 0 0) into 0 9.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.124 * [taylor]: Taking taylor expansion of 1 in im 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [taylor]: Taking taylor expansion of 0 in im 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.127 * [taylor]: Taking taylor expansion of 1/2 in im 9.127 * [backup-simplify]: Simplify 1/2 into 1/2 9.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.127 * [taylor]: Taking taylor expansion of im in im 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (* 1 1) into 1 9.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.132 * [backup-simplify]: Simplify (+ 0 0) into 0 9.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.133 * [taylor]: Taking taylor expansion of 0 in im 9.133 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.135 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.136 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.136 * [taylor]: Taking taylor expansion of re in im 9.136 * [backup-simplify]: Simplify re into re 9.136 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.136 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.136 * [taylor]: Taking taylor expansion of im in im 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify 1 into 1 9.136 * [backup-simplify]: Simplify (* 1 1) into 1 9.137 * [backup-simplify]: Simplify (/ 1 1) into 1 9.137 * [backup-simplify]: Simplify (+ 0 1) into 1 9.138 * [backup-simplify]: Simplify (sqrt 1) into 1 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (+ 0 0) into 0 9.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.140 * [taylor]: Taking taylor expansion of re in re 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.141 * [backup-simplify]: Simplify (* 1 1) into 1 9.141 * [backup-simplify]: Simplify (/ 1 1) into 1 9.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.141 * [taylor]: Taking taylor expansion of im in re 9.141 * [backup-simplify]: Simplify im into im 9.141 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.142 * [backup-simplify]: Simplify (+ 1 0) into 1 9.142 * [backup-simplify]: Simplify (sqrt 1) into 1 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.144 * [backup-simplify]: Simplify (+ 0 0) into 0 9.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.145 * [taylor]: Taking taylor expansion of re in re 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (* 1 1) into 1 9.145 * [backup-simplify]: Simplify (/ 1 1) into 1 9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.146 * [taylor]: Taking taylor expansion of im in re 9.146 * [backup-simplify]: Simplify im into im 9.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.146 * [backup-simplify]: Simplify (+ 1 0) into 1 9.147 * [backup-simplify]: Simplify (sqrt 1) into 1 9.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.148 * [backup-simplify]: Simplify (+ 0 0) into 0 9.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.149 * [taylor]: Taking taylor expansion of 1 in im 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [taylor]: Taking taylor expansion of 0 in im 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.153 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.153 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.153 * [taylor]: Taking taylor expansion of 1/2 in im 9.153 * [backup-simplify]: Simplify 1/2 into 1/2 9.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.153 * [taylor]: Taking taylor expansion of im in im 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.154 * [backup-simplify]: Simplify (* 1 1) into 1 9.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.163 * [backup-simplify]: Simplify (+ 0 0) into 0 9.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.163 * [taylor]: Taking taylor expansion of 0 in im 9.163 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.165 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 9.165 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 9.165 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 9.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.165 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.165 * [taylor]: Taking taylor expansion of im in im 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 1 into 1 9.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.165 * [taylor]: Taking taylor expansion of re in im 9.165 * [backup-simplify]: Simplify re into re 9.165 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.165 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.166 * [backup-simplify]: Simplify (+ 0 0) into 0 9.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.166 * [taylor]: Taking taylor expansion of im in re 9.166 * [backup-simplify]: Simplify im into im 9.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.166 * [taylor]: Taking taylor expansion of re in re 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.166 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.167 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.167 * [taylor]: Taking taylor expansion of im in re 9.167 * [backup-simplify]: Simplify im into im 9.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.167 * [taylor]: Taking taylor expansion of re in re 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.167 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.167 * [taylor]: Taking taylor expansion of im in im 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify 0 into 0 9.168 * [taylor]: Taking taylor expansion of 0 in im 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 1 into 1 9.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.168 * [backup-simplify]: Simplify (* 1 1) into 1 9.168 * [backup-simplify]: Simplify (+ 0 1) into 1 9.169 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.169 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.169 * [taylor]: Taking taylor expansion of 1/2 in im 9.169 * [backup-simplify]: Simplify 1/2 into 1/2 9.169 * [taylor]: Taking taylor expansion of im in im 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.171 * [taylor]: Taking taylor expansion of 0 in im 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.172 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.172 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.172 * [taylor]: Taking taylor expansion of re in im 9.172 * [backup-simplify]: Simplify re into re 9.172 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.172 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.172 * [taylor]: Taking taylor expansion of im in im 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify 1 into 1 9.173 * [backup-simplify]: Simplify (* 1 1) into 1 9.173 * [backup-simplify]: Simplify (/ 1 1) into 1 9.173 * [backup-simplify]: Simplify (+ 0 1) into 1 9.173 * [backup-simplify]: Simplify (sqrt 1) into 1 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (+ 0 0) into 0 9.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.175 * [taylor]: Taking taylor expansion of re in re 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (* 1 1) into 1 9.176 * [backup-simplify]: Simplify (/ 1 1) into 1 9.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.176 * [taylor]: Taking taylor expansion of im in re 9.176 * [backup-simplify]: Simplify im into im 9.176 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.176 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.176 * [backup-simplify]: Simplify (+ 1 0) into 1 9.176 * [backup-simplify]: Simplify (sqrt 1) into 1 9.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.177 * [backup-simplify]: Simplify (+ 0 0) into 0 9.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.178 * [taylor]: Taking taylor expansion of re in re 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (* 1 1) into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.178 * [taylor]: Taking taylor expansion of im in re 9.178 * [backup-simplify]: Simplify im into im 9.178 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.179 * [backup-simplify]: Simplify (+ 1 0) into 1 9.179 * [backup-simplify]: Simplify (sqrt 1) into 1 9.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.180 * [backup-simplify]: Simplify (+ 0 0) into 0 9.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.181 * [taylor]: Taking taylor expansion of 1 in im 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [taylor]: Taking taylor expansion of 0 in im 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.183 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.183 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.183 * [taylor]: Taking taylor expansion of 1/2 in im 9.183 * [backup-simplify]: Simplify 1/2 into 1/2 9.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.183 * [taylor]: Taking taylor expansion of im in im 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify (* 1 1) into 1 9.183 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.186 * [backup-simplify]: Simplify (+ 0 0) into 0 9.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.186 * [taylor]: Taking taylor expansion of 0 in im 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.188 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.188 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.188 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.188 * [taylor]: Taking taylor expansion of re in im 9.188 * [backup-simplify]: Simplify re into re 9.188 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.188 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.188 * [taylor]: Taking taylor expansion of im in im 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify (* 1 1) into 1 9.189 * [backup-simplify]: Simplify (/ 1 1) into 1 9.189 * [backup-simplify]: Simplify (+ 0 1) into 1 9.190 * [backup-simplify]: Simplify (sqrt 1) into 1 9.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (+ 0 0) into 0 9.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.191 * [taylor]: Taking taylor expansion of re in re 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.192 * [backup-simplify]: Simplify (* 1 1) into 1 9.192 * [backup-simplify]: Simplify (/ 1 1) into 1 9.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.192 * [taylor]: Taking taylor expansion of im in re 9.192 * [backup-simplify]: Simplify im into im 9.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.192 * [backup-simplify]: Simplify (+ 1 0) into 1 9.193 * [backup-simplify]: Simplify (sqrt 1) into 1 9.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.194 * [backup-simplify]: Simplify (+ 0 0) into 0 9.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.195 * [taylor]: Taking taylor expansion of re in re 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (* 1 1) into 1 9.196 * [backup-simplify]: Simplify (/ 1 1) into 1 9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.196 * [taylor]: Taking taylor expansion of im in re 9.196 * [backup-simplify]: Simplify im into im 9.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.197 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.197 * [backup-simplify]: Simplify (+ 1 0) into 1 9.197 * [backup-simplify]: Simplify (sqrt 1) into 1 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.200 * [taylor]: Taking taylor expansion of 1 in im 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [taylor]: Taking taylor expansion of 0 in im 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.202 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.204 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.204 * [taylor]: Taking taylor expansion of 1/2 in im 9.204 * [backup-simplify]: Simplify 1/2 into 1/2 9.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.204 * [taylor]: Taking taylor expansion of im in im 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [backup-simplify]: Simplify (* 1 1) into 1 9.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 0 into 0 9.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.209 * [backup-simplify]: Simplify (+ 0 0) into 0 9.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.210 * [taylor]: Taking taylor expansion of 0 in im 9.210 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.212 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 9.213 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 9.213 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 9.213 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.213 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.213 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.213 * [taylor]: Taking taylor expansion of im in im 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.213 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.213 * [taylor]: Taking taylor expansion of re in im 9.213 * [backup-simplify]: Simplify re into re 9.213 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.213 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.213 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.213 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.214 * [backup-simplify]: Simplify (+ 0 0) into 0 9.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.214 * [taylor]: Taking taylor expansion of re in im 9.214 * [backup-simplify]: Simplify re into re 9.214 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.214 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.214 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.214 * [taylor]: Taking taylor expansion of im in re 9.214 * [backup-simplify]: Simplify im into im 9.214 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.214 * [taylor]: Taking taylor expansion of re in re 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 1 into 1 9.215 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.215 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.215 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.215 * [backup-simplify]: Simplify (+ 0 0) into 0 9.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.216 * [taylor]: Taking taylor expansion of re in re 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.216 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.216 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.216 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.216 * [taylor]: Taking taylor expansion of im in re 9.216 * [backup-simplify]: Simplify im into im 9.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.216 * [taylor]: Taking taylor expansion of re in re 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.216 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.216 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.216 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.217 * [backup-simplify]: Simplify (+ 0 0) into 0 9.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.217 * [taylor]: Taking taylor expansion of re in re 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.217 * [backup-simplify]: Simplify (- 0) into 0 9.218 * [backup-simplify]: Simplify (+ im 0) into im 9.218 * [taylor]: Taking taylor expansion of im in im 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify 1 into 1 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify (- 1) into -1 9.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.219 * [taylor]: Taking taylor expansion of -1 in im 9.219 * [backup-simplify]: Simplify -1 into -1 9.219 * [backup-simplify]: Simplify -1 into -1 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.220 * [backup-simplify]: Simplify (* 1 1) into 1 9.220 * [backup-simplify]: Simplify (+ 0 1) into 1 9.221 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.221 * [backup-simplify]: Simplify (- 0) into 0 9.221 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 9.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 9.221 * [taylor]: Taking taylor expansion of 1/2 in im 9.221 * [backup-simplify]: Simplify 1/2 into 1/2 9.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.221 * [taylor]: Taking taylor expansion of im in im 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.222 * [backup-simplify]: Simplify (/ 1 1) into 1 9.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.224 * [backup-simplify]: Simplify (+ 0 0) into 0 9.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.224 * [backup-simplify]: Simplify (- 0) into 0 9.224 * [backup-simplify]: Simplify (+ 0 0) into 0 9.224 * [taylor]: Taking taylor expansion of 0 in im 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.225 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 9.226 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 9.226 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 9.226 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.226 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.226 * [taylor]: Taking taylor expansion of re in im 9.226 * [backup-simplify]: Simplify re into re 9.226 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.226 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.227 * [taylor]: Taking taylor expansion of im in im 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.227 * [backup-simplify]: Simplify (* 1 1) into 1 9.227 * [backup-simplify]: Simplify (/ 1 1) into 1 9.227 * [backup-simplify]: Simplify (+ 0 1) into 1 9.228 * [backup-simplify]: Simplify (sqrt 1) into 1 9.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.229 * [backup-simplify]: Simplify (+ 0 0) into 0 9.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.229 * [taylor]: Taking taylor expansion of re in im 9.229 * [backup-simplify]: Simplify re into re 9.229 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.229 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.229 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.229 * [taylor]: Taking taylor expansion of re in re 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.230 * [backup-simplify]: Simplify (* 1 1) into 1 9.230 * [backup-simplify]: Simplify (/ 1 1) into 1 9.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.230 * [taylor]: Taking taylor expansion of im in re 9.230 * [backup-simplify]: Simplify im into im 9.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.230 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.230 * [backup-simplify]: Simplify (+ 1 0) into 1 9.231 * [backup-simplify]: Simplify (sqrt 1) into 1 9.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.232 * [taylor]: Taking taylor expansion of re in re 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [backup-simplify]: Simplify (/ 1 1) into 1 9.232 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.232 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.232 * [taylor]: Taking taylor expansion of re in re 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.233 * [backup-simplify]: Simplify (* 1 1) into 1 9.233 * [backup-simplify]: Simplify (/ 1 1) into 1 9.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.233 * [taylor]: Taking taylor expansion of im in re 9.233 * [backup-simplify]: Simplify im into im 9.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.233 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.233 * [backup-simplify]: Simplify (+ 1 0) into 1 9.234 * [backup-simplify]: Simplify (sqrt 1) into 1 9.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.235 * [backup-simplify]: Simplify (+ 0 0) into 0 9.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.235 * [taylor]: Taking taylor expansion of re in re 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (/ 1 1) into 1 9.236 * [backup-simplify]: Simplify (- 1) into -1 9.236 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.236 * [taylor]: Taking taylor expansion of 0 in im 9.236 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (- 0) into 0 9.237 * [backup-simplify]: Simplify (+ 0 0) into 0 9.237 * [taylor]: Taking taylor expansion of 0 in im 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.239 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (- 0) into 0 9.240 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.240 * [taylor]: Taking taylor expansion of 1/2 in im 9.240 * [backup-simplify]: Simplify 1/2 into 1/2 9.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.240 * [taylor]: Taking taylor expansion of im in im 9.240 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify 1 into 1 9.241 * [backup-simplify]: Simplify (* 1 1) into 1 9.241 * [backup-simplify]: Simplify (/ 1 1) into 1 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.244 * [backup-simplify]: Simplify (+ 0 0) into 0 9.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.245 * [backup-simplify]: Simplify (- 0) into 0 9.245 * [backup-simplify]: Simplify (+ 0 0) into 0 9.245 * [taylor]: Taking taylor expansion of 0 in im 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 9.248 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 9.248 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.248 * [taylor]: Taking taylor expansion of re in im 9.248 * [backup-simplify]: Simplify re into re 9.248 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.248 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.248 * [taylor]: Taking taylor expansion of re in im 9.248 * [backup-simplify]: Simplify re into re 9.248 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.248 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.248 * [taylor]: Taking taylor expansion of im in im 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (* 1 1) into 1 9.249 * [backup-simplify]: Simplify (/ 1 1) into 1 9.249 * [backup-simplify]: Simplify (+ 0 1) into 1 9.249 * [backup-simplify]: Simplify (sqrt 1) into 1 9.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.250 * [backup-simplify]: Simplify (+ 0 0) into 0 9.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.251 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.251 * [taylor]: Taking taylor expansion of re in re 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.251 * [backup-simplify]: Simplify (/ 1 1) into 1 9.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.251 * [taylor]: Taking taylor expansion of re in re 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.252 * [backup-simplify]: Simplify (* 1 1) into 1 9.252 * [backup-simplify]: Simplify (/ 1 1) into 1 9.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.252 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.252 * [taylor]: Taking taylor expansion of im in re 9.252 * [backup-simplify]: Simplify im into im 9.252 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.252 * [backup-simplify]: Simplify (+ 1 0) into 1 9.253 * [backup-simplify]: Simplify (sqrt 1) into 1 9.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (+ 0 0) into 0 9.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.254 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.254 * [taylor]: Taking taylor expansion of re in re 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (/ 1 1) into 1 9.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.255 * [taylor]: Taking taylor expansion of re in re 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.255 * [backup-simplify]: Simplify (* 1 1) into 1 9.255 * [backup-simplify]: Simplify (/ 1 1) into 1 9.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.255 * [taylor]: Taking taylor expansion of im in re 9.255 * [backup-simplify]: Simplify im into im 9.255 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.255 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.256 * [backup-simplify]: Simplify (+ 1 0) into 1 9.256 * [backup-simplify]: Simplify (sqrt 1) into 1 9.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.257 * [backup-simplify]: Simplify (+ 0 0) into 0 9.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.258 * [backup-simplify]: Simplify (+ 1 1) into 2 9.258 * [taylor]: Taking taylor expansion of 2 in im 9.258 * [backup-simplify]: Simplify 2 into 2 9.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.259 * [backup-simplify]: Simplify (+ 0 0) into 0 9.259 * [taylor]: Taking taylor expansion of 0 in im 9.259 * [backup-simplify]: Simplify 0 into 0 9.259 * [backup-simplify]: Simplify 2 into 2 9.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.262 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.264 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.264 * [taylor]: Taking taylor expansion of 1/2 in im 9.264 * [backup-simplify]: Simplify 1/2 into 1/2 9.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.264 * [taylor]: Taking taylor expansion of im in im 9.264 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.265 * [backup-simplify]: Simplify (/ 1 1) into 1 9.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.274 * [backup-simplify]: Simplify (+ 0 0) into 0 9.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.275 * [backup-simplify]: Simplify (+ 0 0) into 0 9.275 * [taylor]: Taking taylor expansion of 0 in im 9.275 * [backup-simplify]: Simplify 0 into 0 9.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 9.278 * * * [progress]: simplifying candidates 9.278 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 9.278 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re)))))> 9.279 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 9.279 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 9.280 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 9.280 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 9.281 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #real (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> 9.281 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 9.281 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 9.282 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 9.282 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 9.282 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) (- re) (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 9.283 * * [simplify]: iteration 0: 68 enodes 9.297 * * [simplify]: iteration 1: 160 enodes 9.363 * * [simplify]: iteration 2: 415 enodes 9.646 * * [simplify]: iteration 3: 1410 enodes 10.533 * * [simplify]: iteration complete: 5000 enodes 10.533 * * [simplify]: Extracting #0: cost 33 inf + 0 10.541 * * [simplify]: Extracting #1: cost 339 inf + 88 10.548 * * [simplify]: Extracting #2: cost 1122 inf + 764 10.563 * * [simplify]: Extracting #3: cost 1422 inf + 18579 10.597 * * [simplify]: Extracting #4: cost 1033 inf + 143807 10.688 * * [simplify]: Extracting #5: cost 323 inf + 421075 10.871 * * [simplify]: Extracting #6: cost 34 inf + 556254 10.994 * * [simplify]: Extracting #7: cost 1 inf + 571052 11.147 * * [simplify]: Extracting #8: cost 0 inf + 571345 11.282 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* (* re re) re)) (+ (+ (* re re) (* (sqrt (+ (* im im) (* re re))) re)) (+ (* im im) (* re re))) (- re) (+ (* im im) 0) (+ re (sqrt (+ (* im im) (* re re)))) (- re) (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)) im re (- re) im re (- re) im re (- re) (- im re) 0 (* re -2) 11.303 * * * [progress]: adding candidates to table 11.934 * [progress]: [Phase 3 of 3] Extracting. 11.934 * * [regime]: Finding splitpoints for: (#real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> # # # # # # # # # # #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>) 11.941 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) im re) 11.942 * * * * [regimes]: Trying to branch on (* im im) from (#real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> # # # # # # # # # # #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>) 12.083 * * * * [regimes]: Trying to branch on (* im im) from (#real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> # # # # # # # # #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>) 12.169 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (#real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> # # # # # # # # # # #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>) 12.291 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>) 12.334 * * * * [regimes]: Trying to branch on im from (#real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> # # # # # # # # # # #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>) 12.462 * * * * [regimes]: Trying to branch on re from (#real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> # # # # # # # # # # #real (real->posit16 (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>) 12.599 * * * [regime]: Found split indices: #