0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.071 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.071 * * [simplify]: iters left: 6 (12 enodes) 0.090 * * [simplify]: iters left: 5 (46 enodes) 0.099 * * [simplify]: iters left: 4 (56 enodes) 0.113 * * [simplify]: Extracting #0: cost 1 inf + 0 0.113 * * [simplify]: Extracting #1: cost 4 inf + 0 0.113 * * [simplify]: Extracting #2: cost 5 inf + 1 0.114 * * [simplify]: Extracting #3: cost 10 inf + 1 0.114 * * [simplify]: Extracting #4: cost 14 inf + 2 0.114 * * [simplify]: Extracting #5: cost 13 inf + 87 0.114 * * [simplify]: Extracting #6: cost 16 inf + 87 0.114 * * [simplify]: Extracting #7: cost 18 inf + 128 0.114 * * [simplify]: Extracting #8: cost 15 inf + 211 0.115 * * [simplify]: Extracting #9: cost 6 inf + 1670 0.116 * * [simplify]: Extracting #10: cost 1 inf + 3047 0.117 * * [simplify]: Extracting #11: cost 0 inf + 3330 0.119 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.119 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.168 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.215 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.238 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.350 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.350 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.350 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.350 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.350 * [taylor]: Taking taylor expansion of re in im 0.350 * [backup-simplify]: Simplify re into re 0.350 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.350 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.350 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.351 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.352 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [backup-simplify]: Simplify im into im 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.352 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.352 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.353 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.353 * [taylor]: Taking taylor expansion of im in re 0.353 * [backup-simplify]: Simplify im into im 0.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.353 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.353 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.353 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.354 * [taylor]: Taking taylor expansion of im in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.357 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.357 * [taylor]: Taking taylor expansion of 1/2 in im 0.357 * [backup-simplify]: Simplify 1/2 into 1/2 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.363 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.363 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.363 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.363 * [taylor]: Taking taylor expansion of re in im 0.363 * [backup-simplify]: Simplify re into re 0.363 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.363 * [taylor]: Taking taylor expansion of im in im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (+ 0 1) into 1 0.365 * [backup-simplify]: Simplify (sqrt 1) into 1 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.368 * [taylor]: Taking taylor expansion of re in re 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.369 * [backup-simplify]: Simplify im into im 0.369 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.369 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (sqrt 1) into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.373 * [taylor]: Taking taylor expansion of im in re 0.373 * [backup-simplify]: Simplify im into im 0.373 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.373 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.377 * [taylor]: Taking taylor expansion of 1 in im 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of 0 in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.380 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.380 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.380 * [taylor]: Taking taylor expansion of 1/2 in im 0.380 * [backup-simplify]: Simplify 1/2 into 1/2 0.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in im 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.388 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.388 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.388 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.388 * [taylor]: Taking taylor expansion of re in im 0.389 * [backup-simplify]: Simplify re into re 0.389 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ 0 1) into 1 0.390 * [backup-simplify]: Simplify (sqrt 1) into 1 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.395 * [backup-simplify]: Simplify (sqrt 1) into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.398 * [taylor]: Taking taylor expansion of re in re 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.398 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.398 * [taylor]: Taking taylor expansion of im in re 0.399 * [backup-simplify]: Simplify im into im 0.399 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.399 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.402 * [taylor]: Taking taylor expansion of 1 in im 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.406 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.406 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.406 * [taylor]: Taking taylor expansion of 1/2 in im 0.406 * [backup-simplify]: Simplify 1/2 into 1/2 0.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.406 * [taylor]: Taking taylor expansion of im in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.414 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.414 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.414 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.414 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.414 * [taylor]: Taking taylor expansion of re in im 0.414 * [backup-simplify]: Simplify re into re 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.414 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.415 * [taylor]: Taking taylor expansion of re in im 0.415 * [backup-simplify]: Simplify re into re 0.415 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.415 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.415 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.415 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.416 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.416 * [taylor]: Taking taylor expansion of re in re 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.416 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.416 * [taylor]: Taking taylor expansion of im in re 0.416 * [backup-simplify]: Simplify im into im 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.416 * [taylor]: Taking taylor expansion of re in re 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.416 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.416 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.417 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.417 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.417 * [taylor]: Taking taylor expansion of im in re 0.417 * [backup-simplify]: Simplify im into im 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 (* im im) into (pow im 2) 0.417 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.417 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 im) into im 0.418 * [taylor]: Taking taylor expansion of im in im 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ 1 0) into 1 0.419 * [taylor]: Taking taylor expansion of 1 in im 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.421 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.421 * [taylor]: Taking taylor expansion of 1/2 in im 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 0.421 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.428 * [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))))) 0.428 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [backup-simplify]: Simplify re into re 0.428 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.428 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [backup-simplify]: Simplify re into re 0.428 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.428 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.428 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ 0 1) into 1 0.430 * [backup-simplify]: Simplify (sqrt 1) into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.433 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.434 * [backup-simplify]: Simplify im into im 0.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.435 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (sqrt 1) into 1 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.441 * [taylor]: Taking taylor expansion of im in re 0.441 * [backup-simplify]: Simplify im into im 0.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.442 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (sqrt 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [backup-simplify]: Simplify (+ 1 1) into 2 0.445 * [taylor]: Taking taylor expansion of 2 in im 0.445 * [backup-simplify]: Simplify 2 into 2 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in im 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 2 into 2 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.451 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.451 * [taylor]: Taking taylor expansion of 1/2 in im 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [taylor]: Taking taylor expansion of 0 in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.462 * [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)) 0.462 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.462 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.462 * [taylor]: Taking taylor expansion of re in im 0.462 * [backup-simplify]: Simplify re into re 0.462 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.462 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.462 * [taylor]: Taking taylor expansion of im in im 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ 0 1) into 1 0.464 * [backup-simplify]: Simplify (sqrt 1) into 1 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.467 * [taylor]: Taking taylor expansion of re in im 0.467 * [backup-simplify]: Simplify re into re 0.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.467 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.467 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.467 * [taylor]: Taking taylor expansion of re in re 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.468 * [taylor]: Taking taylor expansion of im in re 0.468 * [backup-simplify]: Simplify im into im 0.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.474 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.474 * [taylor]: Taking taylor expansion of im in re 0.474 * [backup-simplify]: Simplify im into im 0.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [backup-simplify]: Simplify (- 1) into -1 0.479 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.479 * [taylor]: Taking taylor expansion of 0 in im 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [taylor]: Taking taylor expansion of 0 in im 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.483 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.485 * [taylor]: Taking taylor expansion of 1/2 in im 0.485 * [backup-simplify]: Simplify 1/2 into 1/2 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in im 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.496 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 0.496 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.496 * [taylor]: Taking taylor expansion of 2.0 in im 0.496 * [backup-simplify]: Simplify 2.0 into 2.0 0.497 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.497 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [backup-simplify]: Simplify re into re 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.497 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.498 * [taylor]: Taking taylor expansion of re in im 0.498 * [backup-simplify]: Simplify re into re 0.498 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.498 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.498 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.498 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.499 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.499 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.499 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.499 * [taylor]: Taking taylor expansion of 2.0 in re 0.499 * [backup-simplify]: Simplify 2.0 into 2.0 0.500 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.501 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.501 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.501 * [taylor]: Taking taylor expansion of re in re 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.501 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.501 * [taylor]: Taking taylor expansion of im in re 0.501 * [backup-simplify]: Simplify im into im 0.501 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.501 * [taylor]: Taking taylor expansion of re in re 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.501 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.501 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 im) into im 0.502 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.502 * [taylor]: Taking taylor expansion of 2.0 in re 0.503 * [backup-simplify]: Simplify 2.0 into 2.0 0.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.504 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.504 * [taylor]: Taking taylor expansion of re in re 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.504 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.504 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.504 * [taylor]: Taking taylor expansion of im in re 0.504 * [backup-simplify]: Simplify im into im 0.504 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.504 * [taylor]: Taking taylor expansion of re in re 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.504 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.504 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 im) into im 0.505 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.505 * [backup-simplify]: Simplify (+ 1 0) into 1 0.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.506 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.506 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.506 * [taylor]: Taking taylor expansion of 2.0 in im 0.506 * [backup-simplify]: Simplify 2.0 into 2.0 0.506 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.507 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (sqrt 0) into 0 0.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.510 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.510 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.510 * [taylor]: Taking taylor expansion of 1/2 in im 0.510 * [backup-simplify]: Simplify 1/2 into 1/2 0.510 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.510 * [taylor]: Taking taylor expansion of 2.0 in im 0.510 * [backup-simplify]: Simplify 2.0 into 2.0 0.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.512 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.512 * [taylor]: Taking taylor expansion of im in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [backup-simplify]: Simplify (sqrt 0) into 0 0.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.516 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.516 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.521 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.524 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.525 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.526 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.527 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.528 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.530 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.530 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.530 * [taylor]: Taking taylor expansion of 1/8 in im 0.530 * [backup-simplify]: Simplify 1/8 into 1/8 0.530 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.530 * [taylor]: Taking taylor expansion of 2.0 in im 0.530 * [backup-simplify]: Simplify 2.0 into 2.0 0.531 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.532 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.532 * [taylor]: Taking taylor expansion of im in im 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [backup-simplify]: Simplify (sqrt 0) into 0 0.535 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.543 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.545 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.546 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.552 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.557 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.557 * [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))))))) 0.557 * [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 0.557 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.558 * [taylor]: Taking taylor expansion of 2.0 in im 0.558 * [backup-simplify]: Simplify 2.0 into 2.0 0.558 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [backup-simplify]: Simplify re into re 0.559 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.559 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [backup-simplify]: Simplify re into re 0.559 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.559 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [backup-simplify]: Simplify (+ 0 1) into 1 0.561 * [backup-simplify]: Simplify (sqrt 1) into 1 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 1) into 1 0.565 * [backup-simplify]: Simplify (sqrt 0) into 0 0.566 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.566 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.566 * [taylor]: Taking taylor expansion of 2.0 in re 0.566 * [backup-simplify]: Simplify 2.0 into 2.0 0.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.568 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.569 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [backup-simplify]: Simplify im into im 0.569 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.569 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.570 * [backup-simplify]: Simplify (+ 1 0) into 1 0.570 * [backup-simplify]: Simplify (sqrt 1) into 1 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.573 * [backup-simplify]: Simplify (+ 1 1) into 2 0.573 * [backup-simplify]: Simplify (sqrt 0) into 0 0.575 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.575 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.575 * [taylor]: Taking taylor expansion of 2.0 in re 0.575 * [backup-simplify]: Simplify 2.0 into 2.0 0.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.576 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.577 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.577 * [taylor]: Taking taylor expansion of re in re 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.578 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.578 * [taylor]: Taking taylor expansion of im in re 0.578 * [backup-simplify]: Simplify im into im 0.578 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.578 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.578 * [backup-simplify]: Simplify (+ 1 0) into 1 0.579 * [backup-simplify]: Simplify (sqrt 1) into 1 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.582 * [backup-simplify]: Simplify (+ 1 1) into 2 0.582 * [backup-simplify]: Simplify (sqrt 0) into 0 0.583 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.584 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.584 * [taylor]: Taking taylor expansion of 0 in im 0.584 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.587 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.587 * [taylor]: Taking taylor expansion of +nan.0 in im 0.587 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.587 * [taylor]: Taking taylor expansion of 2.0 in im 0.587 * [backup-simplify]: Simplify 2.0 into 2.0 0.587 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.591 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.593 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.593 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.593 * [taylor]: Taking taylor expansion of +nan.0 in im 0.593 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.593 * [taylor]: Taking taylor expansion of 2.0 in im 0.593 * [backup-simplify]: Simplify 2.0 into 2.0 0.593 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.594 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.595 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.596 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.599 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.600 * [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)) 0.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.602 * [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)))))) 0.602 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.602 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.602 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.602 * [taylor]: Taking taylor expansion of +nan.0 in im 0.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.602 * [taylor]: Taking taylor expansion of 2.0 in im 0.602 * [backup-simplify]: Simplify 2.0 into 2.0 0.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.603 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.603 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.603 * [taylor]: Taking taylor expansion of +nan.0 in im 0.603 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.603 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.603 * [taylor]: Taking taylor expansion of 2.0 in im 0.603 * [backup-simplify]: Simplify 2.0 into 2.0 0.603 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.603 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.603 * [taylor]: Taking taylor expansion of im in im 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.604 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.608 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.609 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.609 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [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))) 0.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.615 * [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)))))) 0.615 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.615 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.615 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.615 * [taylor]: Taking taylor expansion of +nan.0 in im 0.615 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.615 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.615 * [taylor]: Taking taylor expansion of 2.0 in im 0.615 * [backup-simplify]: Simplify 2.0 into 2.0 0.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.616 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.616 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.616 * [taylor]: Taking taylor expansion of +nan.0 in im 0.616 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.616 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.616 * [taylor]: Taking taylor expansion of 2.0 in im 0.616 * [backup-simplify]: Simplify 2.0 into 2.0 0.616 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.617 * [taylor]: Taking taylor expansion of im in im 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* 1 1) into 1 0.618 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.631 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.633 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.638 * [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)))))))) 0.638 * [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)))) 0.638 * [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 0.639 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.639 * [taylor]: Taking taylor expansion of 2.0 in im 0.639 * [backup-simplify]: Simplify 2.0 into 2.0 0.639 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.640 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.640 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.640 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.640 * [taylor]: Taking taylor expansion of re in im 0.640 * [backup-simplify]: Simplify re into re 0.640 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.640 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.640 * [taylor]: Taking taylor expansion of im in im 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [backup-simplify]: Simplify (+ 0 1) into 1 0.642 * [backup-simplify]: Simplify (sqrt 1) into 1 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.644 * [taylor]: Taking taylor expansion of re in im 0.645 * [backup-simplify]: Simplify re into re 0.645 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.645 * [backup-simplify]: Simplify (+ 1 0) into 1 0.645 * [backup-simplify]: Simplify (sqrt 0) into 0 0.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.647 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.647 * [taylor]: Taking taylor expansion of 2.0 in re 0.647 * [backup-simplify]: Simplify 2.0 into 2.0 0.647 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.648 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (* 1 1) into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [backup-simplify]: Simplify im into im 0.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.650 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.650 * [backup-simplify]: Simplify (sqrt 1) into 1 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.653 * [taylor]: Taking taylor expansion of re in re 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [backup-simplify]: Simplify (- 1) into -1 0.654 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.659 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (- 0) into 0 0.660 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.660 * [backup-simplify]: Simplify (sqrt 0) into 0 0.661 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.661 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.661 * [taylor]: Taking taylor expansion of 2.0 in re 0.661 * [backup-simplify]: Simplify 2.0 into 2.0 0.661 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.662 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.662 * [taylor]: Taking taylor expansion of re in re 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.662 * [taylor]: Taking taylor expansion of im in re 0.662 * [backup-simplify]: Simplify im into im 0.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.663 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.663 * [backup-simplify]: Simplify (+ 1 0) into 1 0.663 * [backup-simplify]: Simplify (sqrt 1) into 1 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (- 1) into -1 0.665 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.670 * [backup-simplify]: Simplify (sqrt 0) into 0 0.670 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.670 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.670 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.671 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.671 * [taylor]: Taking taylor expansion of +nan.0 in im 0.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.671 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.671 * [taylor]: Taking taylor expansion of 2.0 in im 0.671 * [backup-simplify]: Simplify 2.0 into 2.0 0.671 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.679 * [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)))) 0.679 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.679 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.679 * [taylor]: Taking taylor expansion of +nan.0 in im 0.679 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.679 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.680 * [taylor]: Taking taylor expansion of 2.0 in im 0.680 * [backup-simplify]: Simplify 2.0 into 2.0 0.680 * [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 (pow im 4) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.682 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.689 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.694 * [backup-simplify]: Simplify (- 0) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.701 * [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))))) 0.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.704 * [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)))))) 0.704 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.704 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.704 * [taylor]: Taking taylor expansion of +nan.0 in im 0.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.704 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.704 * [taylor]: Taking taylor expansion of 2.0 in im 0.704 * [backup-simplify]: Simplify 2.0 into 2.0 0.705 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.705 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.707 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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) (pow im 6)) in im 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 0.708 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.709 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.710 * [backup-simplify]: Simplify (* 1 1) into 1 0.710 * [backup-simplify]: Simplify (* 1 1) into 1 0.711 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.712 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.728 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.752 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.753 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) into (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) 0.753 * [approximate]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (re im) around 0 0.753 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.753 * [taylor]: Taking taylor expansion of 2.0 in im 0.753 * [backup-simplify]: Simplify 2.0 into 2.0 0.753 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.754 * [taylor]: Taking taylor expansion of re in im 0.754 * [backup-simplify]: Simplify re into re 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.754 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.754 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.754 * [taylor]: Taking taylor expansion of im in im 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.754 * [taylor]: Taking taylor expansion of re in im 0.754 * [backup-simplify]: Simplify re into re 0.754 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.754 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.754 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.754 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.755 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.755 * [taylor]: Taking taylor expansion of 2.0 in re 0.755 * [backup-simplify]: Simplify 2.0 into 2.0 0.755 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.755 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [backup-simplify]: Simplify im into im 0.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.755 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.755 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.755 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.756 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.756 * [taylor]: Taking taylor expansion of 2.0 in re 0.756 * [backup-simplify]: Simplify 2.0 into 2.0 0.756 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.756 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.756 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [backup-simplify]: Simplify im into im 0.756 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.757 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.757 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.757 * [backup-simplify]: Simplify (+ 0 im) into im 0.757 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im) 0.757 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 0.757 * [taylor]: Taking taylor expansion of 2.0 in im 0.758 * [backup-simplify]: Simplify 2.0 into 2.0 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 (* 2.0 0) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ 1 0) into 1 0.759 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0 0.759 * [taylor]: Taking taylor expansion of 2.0 in im 0.759 * [backup-simplify]: Simplify 2.0 into 2.0 0.759 * [backup-simplify]: Simplify 2.0 into 2.0 0.761 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.761 * [backup-simplify]: Simplify 2.0 into 2.0 0.761 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (+ 0 1) into 1 0.763 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.763 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.763 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im)) 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im 0.763 * [taylor]: Taking taylor expansion of 1.0 in im 0.763 * [backup-simplify]: Simplify 1.0 into 1.0 0.763 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.763 * [taylor]: Taking taylor expansion of im in im 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im)))) into 0 0.770 * [taylor]: Taking taylor expansion of 0 in im 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im)) 0.772 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) 0.772 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (re im) around 0 0.772 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.772 * [taylor]: Taking taylor expansion of 2.0 in im 0.773 * [backup-simplify]: Simplify 2.0 into 2.0 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [backup-simplify]: Simplify re into re 0.773 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.773 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [backup-simplify]: Simplify re into re 0.773 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.773 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [backup-simplify]: Simplify (+ 0 1) into 1 0.775 * [backup-simplify]: Simplify (sqrt 1) into 1 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.777 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.777 * [taylor]: Taking taylor expansion of 2.0 in re 0.777 * [backup-simplify]: Simplify 2.0 into 2.0 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.778 * [taylor]: Taking taylor expansion of re in re 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 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.780 * [backup-simplify]: Simplify (sqrt 1) into 1 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.782 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.782 * [taylor]: Taking taylor expansion of 2.0 in re 0.783 * [backup-simplify]: Simplify 2.0 into 2.0 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.783 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (* 1 1) into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.784 * [taylor]: Taking taylor expansion of im in re 0.784 * [backup-simplify]: Simplify im into im 0.785 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.785 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.785 * [backup-simplify]: Simplify (+ 1 0) into 1 0.785 * [backup-simplify]: Simplify (sqrt 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.789 * [backup-simplify]: Simplify (+ 1 1) into 2 0.789 * [backup-simplify]: Simplify (* 2.0 2) into 4.0 0.789 * [taylor]: Taking taylor expansion of 4.0 in im 0.789 * [backup-simplify]: Simplify 4.0 into 4.0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2)) into 0 0.791 * [taylor]: Taking taylor expansion of 0 in im 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 4.0 into 4.0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.795 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.795 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.796 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2))) 0.796 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 0.796 * [taylor]: Taking taylor expansion of 1.0 in im 0.796 * [backup-simplify]: Simplify 1.0 into 1.0 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.797 * [taylor]: Taking taylor expansion of im in im 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0 0.806 * [taylor]: Taking taylor expansion of 0 in im 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (* 4.0 (* 1 (/ 1 (/ 1 re)))) into (* 4.0 re) 0.808 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) 0.808 * [approximate]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (re im) around 0 0.808 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.808 * [backup-simplify]: Simplify 2.0 into 2.0 0.808 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.808 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.808 * [taylor]: Taking taylor expansion of re in im 0.808 * [backup-simplify]: Simplify re into re 0.808 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.808 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (+ 0 1) into 1 0.809 * [backup-simplify]: Simplify (sqrt 1) into 1 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.811 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.811 * [taylor]: Taking taylor expansion of re in im 0.811 * [backup-simplify]: Simplify re into re 0.811 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.811 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.811 * [taylor]: Taking taylor expansion of 2.0 in re 0.811 * [backup-simplify]: Simplify 2.0 into 2.0 0.811 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.811 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.811 * [taylor]: Taking taylor expansion of im in re 0.811 * [backup-simplify]: Simplify im into im 0.812 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.812 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.812 * [backup-simplify]: Simplify (+ 1 0) into 1 0.812 * [backup-simplify]: Simplify (sqrt 1) into 1 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.814 * [taylor]: Taking taylor expansion of 2.0 in re 0.814 * [backup-simplify]: Simplify 2.0 into 2.0 0.814 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.815 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.815 * [taylor]: Taking taylor expansion of im in re 0.815 * [backup-simplify]: Simplify im into im 0.815 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (sqrt 1) into 1 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.817 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (/ 1 1) into 1 0.818 * [backup-simplify]: Simplify (- 1) into -1 0.818 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.818 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (- 0) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.821 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- 0) into 0 0.822 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.823 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) 0.823 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 0.823 * [taylor]: Taking taylor expansion of 1.0 in im 0.823 * [backup-simplify]: Simplify 1.0 into 1.0 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.823 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (- 0) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 0.830 * [taylor]: Taking taylor expansion of 0 in im 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * * * [progress]: simplifying candidates 0.832 * * * * [progress]: [ 1 / 79 ] simplifiying candidate # 0.832 * * * * [progress]: [ 2 / 79 ] simplifiying candidate # 0.832 * * * * [progress]: [ 3 / 79 ] simplifiying candidate # 0.832 * * * * [progress]: [ 4 / 79 ] simplifiying candidate # 0.832 * * * * [progress]: [ 5 / 79 ] simplifiying candidate # 0.832 * * * * [progress]: [ 6 / 79 ] simplifiying candidate # 0.832 * * * * [progress]: [ 7 / 79 ] simplifiying candidate # 0.832 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.832 * * [simplify]: iters left: 6 (8 enodes) 0.834 * * [simplify]: iters left: 5 (26 enodes) 0.840 * * [simplify]: Extracting #0: cost 1 inf + 0 0.840 * * [simplify]: Extracting #1: cost 4 inf + 0 0.840 * * [simplify]: Extracting #2: cost 7 inf + 0 0.840 * * [simplify]: Extracting #3: cost 10 inf + 0 0.840 * * [simplify]: Extracting #4: cost 14 inf + 0 0.840 * * [simplify]: Extracting #5: cost 10 inf + 84 0.841 * * [simplify]: Extracting #6: cost 8 inf + 166 0.841 * * [simplify]: Extracting #7: cost 4 inf + 854 0.841 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.842 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.842 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.842 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 0.843 * * * * [progress]: [ 8 / 79 ] simplifiying candidate # 0.843 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.843 * * [simplify]: iters left: 6 (7 enodes) 0.846 * * [simplify]: iters left: 5 (22 enodes) 0.853 * * [simplify]: Extracting #0: cost 1 inf + 0 0.853 * * [simplify]: Extracting #1: cost 3 inf + 0 0.853 * * [simplify]: Extracting #2: cost 5 inf + 0 0.854 * * [simplify]: Extracting #3: cost 8 inf + 0 0.854 * * [simplify]: Extracting #4: cost 12 inf + 0 0.854 * * [simplify]: Extracting #5: cost 10 inf + 2 0.854 * * [simplify]: Extracting #6: cost 1 inf + 936 0.854 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.855 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.855 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 0.855 * * * * [progress]: [ 9 / 79 ] simplifiying candidate # 0.855 * [simplify]: Simplifying (sqrt 1) 0.855 * * [simplify]: iters left: 1 (2 enodes) 0.858 * * [simplify]: Extracting #0: cost 1 inf + 0 0.858 * * [simplify]: Extracting #1: cost 0 inf + 1 0.858 * [simplify]: Simplified to 1 0.858 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.858 * * * * [progress]: [ 10 / 79 ] simplifiying candidate # 0.858 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.858 * * [simplify]: iters left: 6 (9 enodes) 0.862 * * [simplify]: iters left: 5 (45 enodes) 0.874 * * [simplify]: iters left: 4 (100 enodes) 0.902 * * [simplify]: iters left: 3 (201 enodes) 0.976 * * [simplify]: iters left: 2 (406 enodes) 1.111 * * [simplify]: Extracting #0: cost 1 inf + 0 1.111 * * [simplify]: Extracting #1: cost 3 inf + 0 1.111 * * [simplify]: Extracting #2: cost 6 inf + 0 1.111 * * [simplify]: Extracting #3: cost 62 inf + 0 1.112 * * [simplify]: Extracting #4: cost 166 inf + 460 1.113 * * [simplify]: Extracting #5: cost 131 inf + 12951 1.117 * * [simplify]: Extracting #6: cost 49 inf + 45746 1.133 * * [simplify]: Extracting #7: cost 1 inf + 66256 1.144 * * [simplify]: Extracting #8: cost 0 inf + 65919 1.150 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 1.150 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 1.150 * * * * [progress]: [ 11 / 79 ] simplifiying candidate # 1.150 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.151 * * [simplify]: iters left: 6 (8 enodes) 1.153 * * [simplify]: iters left: 5 (37 enodes) 1.161 * * [simplify]: iters left: 4 (67 enodes) 1.176 * * [simplify]: iters left: 3 (123 enodes) 1.229 * * [simplify]: iters left: 2 (278 enodes) 1.367 * * [simplify]: Extracting #0: cost 1 inf + 0 1.367 * * [simplify]: Extracting #1: cost 3 inf + 0 1.367 * * [simplify]: Extracting #2: cost 50 inf + 0 1.368 * * [simplify]: Extracting #3: cost 150 inf + 0 1.369 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.371 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.379 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.394 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.409 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.409 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 1.410 * * * * [progress]: [ 12 / 79 ] simplifiying candidate # 1.410 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.410 * * [simplify]: iters left: 4 (5 enodes) 1.412 * * [simplify]: iters left: 3 (16 enodes) 1.415 * * [simplify]: Extracting #0: cost 1 inf + 0 1.415 * * [simplify]: Extracting #1: cost 4 inf + 0 1.415 * * [simplify]: Extracting #2: cost 8 inf + 0 1.415 * * [simplify]: Extracting #3: cost 4 inf + 84 1.415 * * [simplify]: Extracting #4: cost 0 inf + 410 1.415 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.415 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 1.415 * * * * [progress]: [ 13 / 79 ] simplifiying candidate # 1.416 * * * * [progress]: [ 14 / 79 ] simplifiying candidate # 1.416 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.416 * * [simplify]: iters left: 5 (6 enodes) 1.417 * * [simplify]: iters left: 4 (19 enodes) 1.420 * * [simplify]: Extracting #0: cost 1 inf + 0 1.420 * * [simplify]: Extracting #1: cost 3 inf + 0 1.420 * * [simplify]: Extracting #2: cost 6 inf + 0 1.420 * * [simplify]: Extracting #3: cost 10 inf + 0 1.420 * * [simplify]: Extracting #4: cost 6 inf + 84 1.421 * * [simplify]: Extracting #5: cost 0 inf + 734 1.421 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.421 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.421 * * * * [progress]: [ 15 / 79 ] simplifiying candidate # 1.421 * * * * [progress]: [ 16 / 79 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.421 * * * * [progress]: [ 17 / 79 ] simplifiying candidate # 1.421 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.421 * * [simplify]: iters left: 6 (9 enodes) 1.424 * * [simplify]: iters left: 5 (31 enodes) 1.429 * * [simplify]: iters left: 4 (35 enodes) 1.434 * * [simplify]: Extracting #0: cost 1 inf + 0 1.434 * * [simplify]: Extracting #1: cost 5 inf + 0 1.434 * * [simplify]: Extracting #2: cost 10 inf + 0 1.434 * * [simplify]: Extracting #3: cost 11 inf + 1 1.434 * * [simplify]: Extracting #4: cost 12 inf + 143 1.434 * * [simplify]: Extracting #5: cost 14 inf + 184 1.434 * * [simplify]: Extracting #6: cost 10 inf + 308 1.434 * * [simplify]: Extracting #7: cost 7 inf + 794 1.435 * * [simplify]: Extracting #8: cost 1 inf + 2056 1.438 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.438 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.438 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.438 * * * * [progress]: [ 18 / 79 ] simplifiying candidate # 1.438 * * * * [progress]: [ 19 / 79 ] simplifiying candidate # 1.438 * * * * [progress]: [ 20 / 79 ] simplifiying candidate # 1.438 * * * * [progress]: [ 21 / 79 ] simplifiying candidate # 1.439 * * * * [progress]: [ 22 / 79 ] simplifiying candidate # 1.439 * * * * [progress]: [ 23 / 79 ] simplifiying candidate # 1.439 * * * * [progress]: [ 24 / 79 ] simplifiying candidate # 1.439 * * * * [progress]: [ 25 / 79 ] simplifiying candidate # 1.439 * * * * [progress]: [ 26 / 79 ] simplifiying candidate # 1.439 * * * * [progress]: [ 27 / 79 ] simplifiying candidate # 1.439 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 1.439 * * [simplify]: iters left: 6 (7 enodes) 1.441 * * [simplify]: iters left: 5 (23 enodes) 1.448 * * [simplify]: Extracting #0: cost 1 inf + 0 1.448 * * [simplify]: Extracting #1: cost 4 inf + 0 1.448 * * [simplify]: Extracting #2: cost 5 inf + 1 1.448 * * [simplify]: Extracting #3: cost 8 inf + 1 1.448 * * [simplify]: Extracting #4: cost 10 inf + 42 1.448 * * [simplify]: Extracting #5: cost 8 inf + 84 1.449 * * [simplify]: Extracting #6: cost 1 inf + 936 1.449 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.450 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 1.450 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 1.450 * * * * [progress]: [ 28 / 79 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 1.450 * * * * [progress]: [ 29 / 79 ] simplifiying candidate # 1.450 * * * * [progress]: [ 30 / 79 ] simplifiying candidate # 1.450 * * * * [progress]: [ 31 / 79 ] simplifiying candidate # 1.450 * * * * [progress]: [ 32 / 79 ] simplifiying candidate # 1.450 * * * * [progress]: [ 33 / 79 ] simplifiying candidate # 1.450 * * * * [progress]: [ 34 / 79 ] simplifiying candidate # 1.450 * * * * [progress]: [ 35 / 79 ] simplifiying candidate # 1.450 * * * * [progress]: [ 36 / 79 ] simplifiying candidate # 1.451 * [simplify]: Simplifying (sqrt 2.0) 1.451 * * [simplify]: iters left: 1 (2 enodes) 1.453 * * [simplify]: Extracting #0: cost 1 inf + 0 1.453 * * [simplify]: Extracting #1: cost 3 inf + 0 1.453 * * [simplify]: Extracting #2: cost 2 inf + 1 1.453 * * [simplify]: Extracting #3: cost 0 inf + 83 1.453 * [simplify]: Simplified to (sqrt 2.0) 1.453 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 1.453 * * * * [progress]: [ 37 / 79 ] simplifiying candidate # 1.454 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.454 * * [simplify]: iters left: 6 (13 enodes) 1.462 * * [simplify]: iters left: 5 (60 enodes) 1.488 * * [simplify]: iters left: 4 (109 enodes) 1.525 * * [simplify]: iters left: 3 (209 enodes) 1.595 * * [simplify]: iters left: 2 (444 enodes) 1.750 * * [simplify]: Extracting #0: cost 1 inf + 0 1.750 * * [simplify]: Extracting #1: cost 3 inf + 0 1.750 * * [simplify]: Extracting #2: cost 14 inf + 0 1.750 * * [simplify]: Extracting #3: cost 101 inf + 1 1.751 * * [simplify]: Extracting #4: cost 193 inf + 736 1.759 * * [simplify]: Extracting #5: cost 133 inf + 14308 1.777 * * [simplify]: Extracting #6: cost 18 inf + 66689 1.799 * * [simplify]: Extracting #7: cost 0 inf + 74616 1.818 * * [simplify]: Extracting #8: cost 0 inf + 74234 1.830 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.830 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 1.830 * * * * [progress]: [ 38 / 79 ] simplifiying candidate # 1.830 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.831 * * [simplify]: iters left: 6 (11 enodes) 1.834 * * [simplify]: iters left: 5 (38 enodes) 1.843 * * [simplify]: iters left: 4 (70 enodes) 1.873 * * [simplify]: iters left: 3 (163 enodes) 1.957 * * [simplify]: iters left: 2 (400 enodes) 2.226 * * [simplify]: Extracting #0: cost 1 inf + 0 2.226 * * [simplify]: Extracting #1: cost 3 inf + 0 2.227 * * [simplify]: Extracting #2: cost 60 inf + 0 2.228 * * [simplify]: Extracting #3: cost 168 inf + 44 2.230 * * [simplify]: Extracting #4: cost 209 inf + 1112 2.236 * * [simplify]: Extracting #5: cost 129 inf + 16179 2.258 * * [simplify]: Extracting #6: cost 16 inf + 47708 2.282 * * [simplify]: Extracting #7: cost 0 inf + 52863 2.296 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.296 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 2.296 * * * * [progress]: [ 39 / 79 ] simplifiying candidate # 2.297 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.297 * * [simplify]: iters left: 6 (9 enodes) 2.300 * * [simplify]: iters left: 5 (36 enodes) 2.308 * * [simplify]: iters left: 4 (46 enodes) 2.321 * * [simplify]: Extracting #0: cost 1 inf + 0 2.321 * * [simplify]: Extracting #1: cost 6 inf + 0 2.321 * * [simplify]: Extracting #2: cost 10 inf + 1 2.321 * * [simplify]: Extracting #3: cost 10 inf + 44 2.321 * * [simplify]: Extracting #4: cost 12 inf + 86 2.321 * * [simplify]: Extracting #5: cost 14 inf + 127 2.321 * * [simplify]: Extracting #6: cost 12 inf + 169 2.322 * * [simplify]: Extracting #7: cost 8 inf + 495 2.322 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.323 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.324 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.324 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.324 * * * * [progress]: [ 40 / 79 ] simplifiying candidate # 2.325 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.325 * * [simplify]: iters left: 6 (9 enodes) 2.330 * * [simplify]: iters left: 5 (36 enodes) 2.342 * * [simplify]: iters left: 4 (46 enodes) 2.354 * * [simplify]: Extracting #0: cost 1 inf + 0 2.354 * * [simplify]: Extracting #1: cost 6 inf + 0 2.354 * * [simplify]: Extracting #2: cost 10 inf + 1 2.355 * * [simplify]: Extracting #3: cost 10 inf + 44 2.355 * * [simplify]: Extracting #4: cost 12 inf + 86 2.355 * * [simplify]: Extracting #5: cost 14 inf + 127 2.355 * * [simplify]: Extracting #6: cost 12 inf + 169 2.355 * * [simplify]: Extracting #7: cost 8 inf + 495 2.356 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.357 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.358 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.358 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.358 * * * * [progress]: [ 41 / 79 ] simplifiying candidate # 2.358 * * * * [progress]: [ 42 / 79 ] simplifiying candidate # 2.358 * * * * [progress]: [ 43 / 79 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 2.358 * * * * [progress]: [ 44 / 79 ] simplifiying candidate # 2.358 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.358 * * [simplify]: iters left: 6 (9 enodes) 2.364 * * [simplify]: iters left: 5 (36 enodes) 2.376 * * [simplify]: iters left: 4 (46 enodes) 2.389 * * [simplify]: Extracting #0: cost 1 inf + 0 2.389 * * [simplify]: Extracting #1: cost 6 inf + 0 2.389 * * [simplify]: Extracting #2: cost 10 inf + 1 2.389 * * [simplify]: Extracting #3: cost 10 inf + 44 2.389 * * [simplify]: Extracting #4: cost 12 inf + 86 2.389 * * [simplify]: Extracting #5: cost 14 inf + 127 2.389 * * [simplify]: Extracting #6: cost 12 inf + 169 2.390 * * [simplify]: Extracting #7: cost 8 inf + 495 2.390 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.391 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.392 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.392 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 1)))) 2.392 * * * * [progress]: [ 45 / 79 ] simplifiying candidate # 2.392 * * * * [progress]: [ 46 / 79 ] simplifiying candidate # 2.392 * [simplify]: Simplifying (+ (log 2.0) (log (+ (sqrt (+ (* re re) (* im im))) re))) 2.393 * * [simplify]: iters left: 6 (11 enodes) 2.398 * * [simplify]: iters left: 5 (36 enodes) 2.412 * * [simplify]: Extracting #0: cost 1 inf + 0 2.412 * * [simplify]: Extracting #1: cost 4 inf + 0 2.412 * * [simplify]: Extracting #2: cost 8 inf + 0 2.412 * * [simplify]: Extracting #3: cost 10 inf + 1 2.412 * * [simplify]: Extracting #4: cost 9 inf + 144 2.412 * * [simplify]: Extracting #5: cost 12 inf + 144 2.413 * * [simplify]: Extracting #6: cost 14 inf + 185 2.413 * * [simplify]: Extracting #7: cost 11 inf + 268 2.413 * * [simplify]: Extracting #8: cost 8 inf + 593 2.413 * * [simplify]: Extracting #9: cost 3 inf + 1553 2.414 * * [simplify]: Extracting #10: cost 0 inf + 2591 2.415 * [simplify]: Simplified to (+ (log (+ (sqrt (+ (* re re) (* im im))) re)) (log 2.0)) 2.415 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (exp (+ (log (+ (sqrt (+ (* re re) (* im im))) re)) (log 2.0)))))) 2.415 * * * * [progress]: [ 47 / 79 ] simplifiying candidate # 2.416 * * * * [progress]: [ 48 / 79 ] simplifiying candidate # 2.416 * * * * [progress]: [ 49 / 79 ] simplifiying candidate # 2.416 * [simplify]: Simplifying (* (* (* 2.0 2.0) 2.0) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) 2.416 * * [simplify]: iters left: 6 (13 enodes) 2.424 * * [simplify]: iters left: 5 (60 enodes) 2.443 * * [simplify]: iters left: 4 (200 enodes) 2.552 * * [simplify]: Extracting #0: cost 1 inf + 0 2.552 * * [simplify]: Extracting #1: cost 25 inf + 0 2.552 * * [simplify]: Extracting #2: cost 123 inf + 42 2.553 * * [simplify]: Extracting #3: cost 183 inf + 249 2.554 * * [simplify]: Extracting #4: cost 174 inf + 1226 2.555 * * [simplify]: Extracting #5: cost 175 inf + 1438 2.557 * * [simplify]: Extracting #6: cost 135 inf + 11543 2.572 * * [simplify]: Extracting #7: cost 10 inf + 51142 2.600 * * [simplify]: Extracting #8: cost 0 inf + 54289 2.621 * [simplify]: Simplified to (* (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0) (* (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0) (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0))) 2.621 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (cbrt (* (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0) (* (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0) (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0))))))) 2.621 * * * * [progress]: [ 50 / 79 ] simplifiying candidate # 2.621 * * * * [progress]: [ 51 / 79 ] simplifiying candidate # 2.621 * * * * [progress]: [ 52 / 79 ] simplifiying candidate # 2.621 * * * * [progress]: [ 53 / 79 ] simplifiying candidate # 2.621 * * * * [progress]: [ 54 / 79 ] simplifiying candidate # 2.622 * [simplify]: Simplifying (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 2.622 * * [simplify]: iters left: 6 (11 enodes) 2.625 * * [simplify]: iters left: 5 (36 enodes) 2.631 * * [simplify]: Extracting #0: cost 1 inf + 0 2.632 * * [simplify]: Extracting #1: cost 4 inf + 0 2.632 * * [simplify]: Extracting #2: cost 8 inf + 0 2.632 * * [simplify]: Extracting #3: cost 10 inf + 1 2.632 * * [simplify]: Extracting #4: cost 9 inf + 84 2.632 * * [simplify]: Extracting #5: cost 12 inf + 84 2.632 * * [simplify]: Extracting #6: cost 14 inf + 125 2.632 * * [simplify]: Extracting #7: cost 11 inf + 208 2.632 * * [simplify]: Extracting #8: cost 8 inf + 533 2.632 * * [simplify]: Extracting #9: cost 3 inf + 1463 2.633 * * [simplify]: Extracting #10: cost 0 inf + 2351 2.634 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 2.634 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 2.634 * [simplify]: Simplifying (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 2.634 * * [simplify]: iters left: 6 (11 enodes) 2.643 * * [simplify]: iters left: 5 (36 enodes) 2.655 * * [simplify]: Extracting #0: cost 1 inf + 0 2.655 * * [simplify]: Extracting #1: cost 4 inf + 0 2.655 * * [simplify]: Extracting #2: cost 8 inf + 0 2.655 * * [simplify]: Extracting #3: cost 10 inf + 1 2.655 * * [simplify]: Extracting #4: cost 9 inf + 84 2.655 * * [simplify]: Extracting #5: cost 12 inf + 84 2.656 * * [simplify]: Extracting #6: cost 14 inf + 125 2.656 * * [simplify]: Extracting #7: cost 11 inf + 208 2.656 * * [simplify]: Extracting #8: cost 8 inf + 533 2.656 * * [simplify]: Extracting #9: cost 3 inf + 1463 2.657 * * [simplify]: Extracting #10: cost 0 inf + 2351 2.658 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 2.658 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 2.658 * * * * [progress]: [ 55 / 79 ] simplifiying candidate # 2.659 * [simplify]: Simplifying (* 2.0 re) 2.659 * * [simplify]: iters left: 2 (3 enodes) 2.661 * * [simplify]: iters left: 1 (10 enodes) 2.664 * * [simplify]: Extracting #0: cost 1 inf + 0 2.664 * * [simplify]: Extracting #1: cost 4 inf + 0 2.664 * * [simplify]: Extracting #2: cost 2 inf + 2 2.664 * * [simplify]: Extracting #3: cost 0 inf + 86 2.665 * [simplify]: Simplified to (* 2.0 re) 2.665 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (sqrt (+ (* re re) (* im im)))) (* 2.0 re))))) 2.665 * * * * [progress]: [ 56 / 79 ] simplifiying candidate # 2.665 * [simplify]: Simplifying (* re 2.0) 2.665 * * [simplify]: iters left: 2 (3 enodes) 2.666 * * [simplify]: iters left: 1 (10 enodes) 2.668 * * [simplify]: Extracting #0: cost 1 inf + 0 2.668 * * [simplify]: Extracting #1: cost 4 inf + 0 2.668 * * [simplify]: Extracting #2: cost 2 inf + 2 2.668 * * [simplify]: Extracting #3: cost 0 inf + 86 2.668 * [simplify]: Simplified to (* re 2.0) 2.668 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (+ (* (sqrt (+ (* re re) (* im im))) 2.0) (* re 2.0))))) 2.668 * * * * [progress]: [ 57 / 79 ] simplifiying candidate # 2.669 * [simplify]: Simplifying (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) 2.669 * * [simplify]: iters left: 6 (8 enodes) 2.671 * * [simplify]: iters left: 5 (26 enodes) 2.675 * * [simplify]: Extracting #0: cost 1 inf + 0 2.675 * * [simplify]: Extracting #1: cost 3 inf + 0 2.675 * * [simplify]: Extracting #2: cost 6 inf + 0 2.675 * * [simplify]: Extracting #3: cost 7 inf + 1 2.675 * * [simplify]: Extracting #4: cost 10 inf + 1 2.675 * * [simplify]: Extracting #5: cost 12 inf + 42 2.675 * * [simplify]: Extracting #6: cost 9 inf + 125 2.675 * * [simplify]: Extracting #7: cost 5 inf + 572 2.676 * * [simplify]: Extracting #8: cost 1 inf + 1420 2.676 * * [simplify]: Extracting #9: cost 0 inf + 1702 2.676 * [simplify]: Simplified to (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) 2.676 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 2.676 * * * * [progress]: [ 58 / 79 ] simplifiying candidate # 2.677 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 2.677 * * [simplify]: iters left: 6 (8 enodes) 2.679 * * [simplify]: iters left: 5 (26 enodes) 2.683 * * [simplify]: Extracting #0: cost 1 inf + 0 2.683 * * [simplify]: Extracting #1: cost 3 inf + 0 2.683 * * [simplify]: Extracting #2: cost 6 inf + 0 2.683 * * [simplify]: Extracting #3: cost 7 inf + 1 2.683 * * [simplify]: Extracting #4: cost 10 inf + 1 2.683 * * [simplify]: Extracting #5: cost 12 inf + 42 2.683 * * [simplify]: Extracting #6: cost 9 inf + 125 2.684 * * [simplify]: Extracting #7: cost 5 inf + 572 2.684 * * [simplify]: Extracting #8: cost 1 inf + 1380 2.684 * * [simplify]: Extracting #9: cost 0 inf + 1622 2.684 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 2.684 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 2.684 * * * * [progress]: [ 59 / 79 ] simplifiying candidate # 2.685 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 2.685 * * [simplify]: iters left: 6 (7 enodes) 2.687 * * [simplify]: iters left: 5 (23 enodes) 2.690 * * [simplify]: Extracting #0: cost 1 inf + 0 2.690 * * [simplify]: Extracting #1: cost 4 inf + 0 2.690 * * [simplify]: Extracting #2: cost 5 inf + 1 2.690 * * [simplify]: Extracting #3: cost 8 inf + 1 2.690 * * [simplify]: Extracting #4: cost 10 inf + 42 2.691 * * [simplify]: Extracting #5: cost 8 inf + 84 2.691 * * [simplify]: Extracting #6: cost 1 inf + 936 2.691 * * [simplify]: Extracting #7: cost 0 inf + 1138 2.691 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 2.691 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 2.0 1) (+ (sqrt (+ (* re re) (* im im))) re))))) 2.691 * * * * [progress]: [ 60 / 79 ] simplifiying candidate # 2.692 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 2.692 * * [simplify]: iters left: 6 (7 enodes) 2.694 * * [simplify]: iters left: 5 (23 enodes) 2.701 * * [simplify]: Extracting #0: cost 1 inf + 0 2.701 * * [simplify]: Extracting #1: cost 4 inf + 0 2.701 * * [simplify]: Extracting #2: cost 5 inf + 1 2.701 * * [simplify]: Extracting #3: cost 8 inf + 1 2.701 * * [simplify]: Extracting #4: cost 10 inf + 42 2.701 * * [simplify]: Extracting #5: cost 8 inf + 84 2.702 * * [simplify]: Extracting #6: cost 1 inf + 936 2.702 * * [simplify]: Extracting #7: cost 0 inf + 1138 2.703 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 2.703 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 2.0 1) (+ (sqrt (+ (* re re) (* im im))) re))))) 2.703 * * * * [progress]: [ 61 / 79 ] simplifiying candidate # 2.703 * [simplify]: Simplifying (* (cbrt 2.0) (cbrt 2.0)) 2.703 * * [simplify]: iters left: 3 (3 enodes) 2.706 * * [simplify]: iters left: 2 (9 enodes) 2.710 * * [simplify]: Extracting #0: cost 1 inf + 0 2.710 * * [simplify]: Extracting #1: cost 3 inf + 0 2.710 * * [simplify]: Extracting #2: cost 5 inf + 0 2.710 * * [simplify]: Extracting #3: cost 4 inf + 1 2.710 * * [simplify]: Extracting #4: cost 0 inf + 405 2.710 * [simplify]: Simplified to (* (cbrt 2.0) (cbrt 2.0)) 2.710 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re)))))) 2.710 * * * * [progress]: [ 62 / 79 ] simplifiying candidate # 2.711 * [simplify]: Simplifying (sqrt 2.0) 2.711 * * [simplify]: iters left: 1 (2 enodes) 2.712 * * [simplify]: Extracting #0: cost 1 inf + 0 2.712 * * [simplify]: Extracting #1: cost 3 inf + 0 2.713 * * [simplify]: Extracting #2: cost 2 inf + 1 2.713 * * [simplify]: Extracting #3: cost 0 inf + 83 2.713 * [simplify]: Simplified to (sqrt 2.0) 2.713 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (sqrt 2.0) (* (sqrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re)))))) 2.713 * * * * [progress]: [ 63 / 79 ] simplifiying candidate # 2.713 * * * * [progress]: [ 64 / 79 ] simplifiying candidate # 2.713 * [simplify]: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) 2.713 * * [simplify]: iters left: 6 (10 enodes) 2.718 * * [simplify]: iters left: 5 (37 enodes) 2.728 * * [simplify]: iters left: 4 (69 enodes) 2.743 * * [simplify]: iters left: 3 (115 enodes) 2.767 * * [simplify]: iters left: 2 (175 enodes) 2.809 * * [simplify]: iters left: 1 (240 enodes) 2.884 * * [simplify]: Extracting #0: cost 1 inf + 0 2.884 * * [simplify]: Extracting #1: cost 24 inf + 0 2.884 * * [simplify]: Extracting #2: cost 60 inf + 0 2.885 * * [simplify]: Extracting #3: cost 62 inf + 369 2.885 * * [simplify]: Extracting #4: cost 42 inf + 2396 2.887 * * [simplify]: Extracting #5: cost 28 inf + 5703 2.890 * * [simplify]: Extracting #6: cost 3 inf + 11593 2.894 * * [simplify]: Extracting #7: cost 0 inf + 12359 2.901 * [simplify]: Simplified to (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))) 2.902 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))))))) 2.902 * * * * [progress]: [ 65 / 79 ] simplifiying candidate # 2.902 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 2.902 * * [simplify]: iters left: 6 (7 enodes) 2.906 * * [simplify]: iters left: 5 (24 enodes) 2.911 * * [simplify]: iters left: 4 (27 enodes) 2.915 * * [simplify]: Extracting #0: cost 1 inf + 0 2.915 * * [simplify]: Extracting #1: cost 5 inf + 0 2.915 * * [simplify]: Extracting #2: cost 7 inf + 1 2.915 * * [simplify]: Extracting #3: cost 8 inf + 83 2.915 * * [simplify]: Extracting #4: cost 10 inf + 124 2.916 * * [simplify]: Extracting #5: cost 6 inf + 248 2.916 * * [simplify]: Extracting #6: cost 3 inf + 654 2.916 * * [simplify]: Extracting #7: cost 1 inf + 1018 2.916 * * [simplify]: Extracting #8: cost 0 inf + 1220 2.916 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 2.917 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (- (sqrt (+ (* re re) (* im im))) re))))) 2.917 * * * * [progress]: [ 66 / 79 ] simplifiying candidate #real (real->posit16 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 2.917 * * * * [progress]: [ 67 / 79 ] simplifiying candidate # 2.917 * * * * [progress]: [ 68 / 79 ] simplifiying candidate # 2.917 * [simplify]: Simplifying im 2.917 * * [simplify]: iters left: 0 (1 enodes) 2.917 * * [simplify]: Extracting #0: cost 1 inf + 0 2.917 * * [simplify]: Extracting #1: cost 0 inf + 1 2.917 * [simplify]: Simplified to im 2.917 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.917 * * * * [progress]: [ 69 / 79 ] simplifiying candidate # 2.918 * [simplify]: Simplifying re 2.918 * * [simplify]: iters left: 0 (1 enodes) 2.918 * * [simplify]: Extracting #0: cost 1 inf + 0 2.918 * * [simplify]: Extracting #1: cost 0 inf + 1 2.918 * [simplify]: Simplified to re 2.918 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 2.918 * * * * [progress]: [ 70 / 79 ] simplifiying candidate # 2.918 * [simplify]: Simplifying (* -1 re) 2.918 * * [simplify]: iters left: 2 (3 enodes) 2.920 * * [simplify]: iters left: 1 (11 enodes) 2.921 * * [simplify]: Extracting #0: cost 1 inf + 0 2.921 * * [simplify]: Extracting #1: cost 4 inf + 0 2.921 * * [simplify]: Extracting #2: cost 0 inf + 84 2.922 * [simplify]: Simplified to (- re) 2.922 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 2.922 * * * * [progress]: [ 71 / 79 ] simplifiying candidate # 2.922 * [simplify]: Simplifying (+ re im) 2.922 * * [simplify]: iters left: 2 (3 enodes) 2.923 * * [simplify]: iters left: 1 (10 enodes) 2.924 * * [simplify]: Extracting #0: cost 1 inf + 0 2.924 * * [simplify]: Extracting #1: cost 4 inf + 0 2.924 * * [simplify]: Extracting #2: cost 2 inf + 2 2.924 * * [simplify]: Extracting #3: cost 0 inf + 86 2.924 * [simplify]: Simplified to (+ im re) 2.924 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.924 * * * * [progress]: [ 72 / 79 ] simplifiying candidate # 2.925 * [simplify]: Simplifying (* 2 re) 2.925 * * [simplify]: iters left: 2 (3 enodes) 2.926 * * [simplify]: iters left: 1 (10 enodes) 2.928 * * [simplify]: Extracting #0: cost 1 inf + 0 2.928 * * [simplify]: Extracting #1: cost 4 inf + 0 2.928 * * [simplify]: Extracting #2: cost 2 inf + 2 2.928 * * [simplify]: Extracting #3: cost 0 inf + 86 2.928 * [simplify]: Simplified to (* 2 re) 2.928 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 2.928 * * * * [progress]: [ 73 / 79 ] simplifiying candidate # 2.928 * [simplify]: Simplifying 0 2.928 * * [simplify]: iters left: 0 (1 enodes) 2.929 * * [simplify]: Extracting #0: cost 1 inf + 0 2.929 * * [simplify]: Extracting #1: cost 0 inf + 1 2.929 * [simplify]: Simplified to 0 2.929 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.929 * * * * [progress]: [ 74 / 79 ] simplifiying candidate # 2.929 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 2.930 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.930 * * * * [progress]: [ 75 / 79 ] simplifiying candidate # 2.930 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.930 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.930 * * * * [progress]: [ 76 / 79 ] simplifiying candidate # 2.930 * [simplify]: Simplifying 0 2.930 * * [simplify]: iters left: 0 (1 enodes) 2.931 * * [simplify]: Extracting #0: cost 1 inf + 0 2.931 * * [simplify]: Extracting #1: cost 0 inf + 1 2.931 * [simplify]: Simplified to 0 2.931 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.931 * * * * [progress]: [ 77 / 79 ] simplifiying candidate # 2.931 * [simplify]: Simplifying (+ (* 2.0 re) (* 2.0 im)) 2.931 * * [simplify]: iters left: 4 (6 enodes) 2.933 * * [simplify]: iters left: 3 (23 enodes) 2.938 * * [simplify]: iters left: 2 (28 enodes) 2.949 * * [simplify]: Extracting #0: cost 1 inf + 0 2.949 * * [simplify]: Extracting #1: cost 6 inf + 0 2.949 * * [simplify]: Extracting #2: cost 10 inf + 1 2.949 * * [simplify]: Extracting #3: cost 8 inf + 3 2.949 * * [simplify]: Extracting #4: cost 0 inf + 501 2.950 * * [simplify]: Extracting #5: cost 0 inf + 421 2.950 * [simplify]: Simplified to (* 2.0 (+ re im)) 2.950 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im))))) 2.950 * * * * [progress]: [ 78 / 79 ] simplifiying candidate # 2.950 * [simplify]: Simplifying (* 4.0 re) 2.950 * * [simplify]: iters left: 2 (3 enodes) 2.953 * * [simplify]: iters left: 1 (10 enodes) 2.956 * * [simplify]: Extracting #0: cost 1 inf + 0 2.956 * * [simplify]: Extracting #1: cost 4 inf + 0 2.956 * * [simplify]: Extracting #2: cost 2 inf + 2 2.956 * * [simplify]: Extracting #3: cost 0 inf + 86 2.956 * [simplify]: Simplified to (* 4.0 re) 2.956 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 4.0 re)))) 2.956 * * * * [progress]: [ 79 / 79 ] simplifiying candidate # 2.957 * [simplify]: Simplifying 0 2.957 * * [simplify]: iters left: 0 (1 enodes) 2.958 * * [simplify]: Extracting #0: cost 1 inf + 0 2.958 * * [simplify]: Extracting #1: cost 0 inf + 1 2.958 * [simplify]: Simplified to 0 2.958 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt 0))) 2.958 * * * [progress]: adding candidates to table 3.786 * * [progress]: iteration 2 / 4 3.786 * * * [progress]: picking best candidate 3.813 * * * * [pick]: Picked # 3.813 * * * [progress]: localizing error 3.847 * * * [progress]: generating rewritten candidates 3.848 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.869 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.915 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 3.931 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.991 * * * [progress]: generating series expansions 3.991 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 3.991 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.991 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.991 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.991 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.991 * [taylor]: Taking taylor expansion of im in im 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.991 * [taylor]: Taking taylor expansion of re in im 3.991 * [backup-simplify]: Simplify re into re 3.991 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.992 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.992 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.992 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.992 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.993 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.993 * [taylor]: Taking taylor expansion of im in re 3.993 * [backup-simplify]: Simplify im into im 3.993 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.993 * [taylor]: Taking taylor expansion of re in re 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.993 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.993 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.993 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.993 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.993 * [taylor]: Taking taylor expansion of im in re 3.993 * [backup-simplify]: Simplify im into im 3.993 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.993 * [taylor]: Taking taylor expansion of re in re 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.994 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.994 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.994 * [taylor]: Taking taylor expansion of im in im 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [taylor]: Taking taylor expansion of 0 in im 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.995 * [backup-simplify]: Simplify (* 1 1) into 1 3.995 * [backup-simplify]: Simplify (+ 0 1) into 1 3.996 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.996 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.996 * [taylor]: Taking taylor expansion of 1/2 in im 3.996 * [backup-simplify]: Simplify 1/2 into 1/2 3.996 * [taylor]: Taking taylor expansion of im in im 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.998 * [taylor]: Taking taylor expansion of 0 in im 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.999 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.999 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.999 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.999 * [taylor]: Taking taylor expansion of re in im 3.999 * [backup-simplify]: Simplify re into re 3.999 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.999 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.999 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.999 * [taylor]: Taking taylor expansion of im in im 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (* 1 1) into 1 4.000 * [backup-simplify]: Simplify (/ 1 1) into 1 4.000 * [backup-simplify]: Simplify (+ 0 1) into 1 4.000 * [backup-simplify]: Simplify (sqrt 1) into 1 4.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ 0 0) into 0 4.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.002 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.002 * [taylor]: Taking taylor expansion of re in re 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.003 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.003 * [taylor]: Taking taylor expansion of im in re 4.003 * [backup-simplify]: Simplify im into im 4.003 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.003 * [backup-simplify]: Simplify (+ 1 0) into 1 4.003 * [backup-simplify]: Simplify (sqrt 1) into 1 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.005 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.005 * [taylor]: Taking taylor expansion of re in re 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (* 1 1) into 1 4.005 * [backup-simplify]: Simplify (/ 1 1) into 1 4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.005 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.005 * [taylor]: Taking taylor expansion of im in re 4.005 * [backup-simplify]: Simplify im into im 4.005 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.006 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.006 * [backup-simplify]: Simplify (+ 1 0) into 1 4.006 * [backup-simplify]: Simplify (sqrt 1) into 1 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.008 * [taylor]: Taking taylor expansion of 1 in im 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [taylor]: Taking taylor expansion of 0 in im 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.010 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.010 * [taylor]: Taking taylor expansion of 1/2 in im 4.010 * [backup-simplify]: Simplify 1/2 into 1/2 4.010 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.010 * [taylor]: Taking taylor expansion of im in im 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (* 1 1) into 1 4.010 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.013 * [backup-simplify]: Simplify (+ 0 0) into 0 4.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.013 * [taylor]: Taking taylor expansion of 0 in im 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.015 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.015 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.015 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.015 * [taylor]: Taking taylor expansion of re in im 4.015 * [backup-simplify]: Simplify re into re 4.015 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.015 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.015 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.015 * [taylor]: Taking taylor expansion of im in im 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (* 1 1) into 1 4.016 * [backup-simplify]: Simplify (/ 1 1) into 1 4.016 * [backup-simplify]: Simplify (+ 0 1) into 1 4.016 * [backup-simplify]: Simplify (sqrt 1) into 1 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.018 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.018 * [taylor]: Taking taylor expansion of re in re 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.018 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.018 * [taylor]: Taking taylor expansion of im in re 4.018 * [backup-simplify]: Simplify im into im 4.018 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.019 * [backup-simplify]: Simplify (+ 1 0) into 1 4.019 * [backup-simplify]: Simplify (sqrt 1) into 1 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.021 * [taylor]: Taking taylor expansion of re in re 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (* 1 1) into 1 4.021 * [backup-simplify]: Simplify (/ 1 1) into 1 4.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.021 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.021 * [taylor]: Taking taylor expansion of im in re 4.021 * [backup-simplify]: Simplify im into im 4.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.021 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.021 * [backup-simplify]: Simplify (+ 1 0) into 1 4.022 * [backup-simplify]: Simplify (sqrt 1) into 1 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.023 * [taylor]: Taking taylor expansion of 1 in im 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [taylor]: Taking taylor expansion of 0 in im 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.026 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.026 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.026 * [taylor]: Taking taylor expansion of 1/2 in im 4.026 * [backup-simplify]: Simplify 1/2 into 1/2 4.026 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.026 * [taylor]: Taking taylor expansion of im in im 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.032 * [taylor]: Taking taylor expansion of 0 in im 4.032 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.035 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 4.035 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 4.035 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 4.035 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 4.035 * [taylor]: Taking taylor expansion of re in im 4.035 * [backup-simplify]: Simplify re into re 4.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.035 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.035 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.035 * [taylor]: Taking taylor expansion of im in im 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.035 * [taylor]: Taking taylor expansion of re in im 4.035 * [backup-simplify]: Simplify re into re 4.035 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.035 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.036 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.036 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.036 * [backup-simplify]: Simplify (+ 0 0) into 0 4.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.036 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 4.036 * [taylor]: Taking taylor expansion of re in re 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.036 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.037 * [taylor]: Taking taylor expansion of im in re 4.037 * [backup-simplify]: Simplify im into im 4.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.037 * [taylor]: Taking taylor expansion of re in re 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.037 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.037 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.037 * [backup-simplify]: Simplify (+ 0 0) into 0 4.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.038 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 4.038 * [taylor]: Taking taylor expansion of re in re 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.038 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.038 * [taylor]: Taking taylor expansion of im in re 4.038 * [backup-simplify]: Simplify im into im 4.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.038 * [taylor]: Taking taylor expansion of re in re 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.038 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.039 * [backup-simplify]: Simplify (+ 0 im) into im 4.039 * [taylor]: Taking taylor expansion of im in im 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ 1 0) into 1 4.040 * [taylor]: Taking taylor expansion of 1 in im 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.040 * [backup-simplify]: Simplify (* 1 1) into 1 4.041 * [backup-simplify]: Simplify (+ 0 1) into 1 4.042 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.042 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 4.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.042 * [taylor]: Taking taylor expansion of 1/2 in im 4.042 * [backup-simplify]: Simplify 1/2 into 1/2 4.042 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.042 * [taylor]: Taking taylor expansion of im in im 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.046 * [backup-simplify]: Simplify (+ 0 0) into 0 4.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.046 * [backup-simplify]: Simplify (+ 0 0) into 0 4.046 * [taylor]: Taking taylor expansion of 0 in im 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 4.049 * [backup-simplify]: Simplify (+ (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))))) 4.049 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 4.049 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.049 * [taylor]: Taking taylor expansion of re in im 4.049 * [backup-simplify]: Simplify re into re 4.049 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.049 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.049 * [taylor]: Taking taylor expansion of re in im 4.049 * [backup-simplify]: Simplify re into re 4.049 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.050 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.050 * [taylor]: Taking taylor expansion of im in im 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (* 1 1) into 1 4.050 * [backup-simplify]: Simplify (/ 1 1) into 1 4.051 * [backup-simplify]: Simplify (+ 0 1) into 1 4.051 * [backup-simplify]: Simplify (sqrt 1) into 1 4.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.053 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.054 * [taylor]: Taking taylor expansion of re in re 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.054 * [taylor]: Taking taylor expansion of re in re 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (* 1 1) into 1 4.054 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.054 * [taylor]: Taking taylor expansion of im in re 4.054 * [backup-simplify]: Simplify im into im 4.055 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.055 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.055 * [backup-simplify]: Simplify (+ 1 0) into 1 4.055 * [backup-simplify]: Simplify (sqrt 1) into 1 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.057 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.057 * [taylor]: Taking taylor expansion of re in re 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.057 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.057 * [taylor]: Taking taylor expansion of re in re 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (* 1 1) into 1 4.058 * [backup-simplify]: Simplify (/ 1 1) into 1 4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.058 * [taylor]: Taking taylor expansion of im in re 4.058 * [backup-simplify]: Simplify im into im 4.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.058 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.058 * [backup-simplify]: Simplify (+ 1 0) into 1 4.058 * [backup-simplify]: Simplify (sqrt 1) into 1 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.060 * [backup-simplify]: Simplify (+ 1 1) into 2 4.060 * [taylor]: Taking taylor expansion of 2 in im 4.060 * [backup-simplify]: Simplify 2 into 2 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [taylor]: Taking taylor expansion of 0 in im 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 2 into 2 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.063 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.063 * [taylor]: Taking taylor expansion of 1/2 in im 4.063 * [backup-simplify]: Simplify 1/2 into 1/2 4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.063 * [taylor]: Taking taylor expansion of im in im 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (/ 1 1) into 1 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [taylor]: Taking taylor expansion of 0 in im 4.068 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 4.070 * [backup-simplify]: Simplify (+ (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)) 4.070 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 4.070 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.070 * [taylor]: Taking taylor expansion of re in im 4.070 * [backup-simplify]: Simplify re into re 4.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.071 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.071 * [taylor]: Taking taylor expansion of im in im 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (* 1 1) into 1 4.071 * [backup-simplify]: Simplify (/ 1 1) into 1 4.071 * [backup-simplify]: Simplify (+ 0 1) into 1 4.072 * [backup-simplify]: Simplify (sqrt 1) into 1 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.073 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.073 * [taylor]: Taking taylor expansion of re in im 4.073 * [backup-simplify]: Simplify re into re 4.073 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.073 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.073 * [taylor]: Taking taylor expansion of re in re 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (* 1 1) into 1 4.074 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.074 * [taylor]: Taking taylor expansion of im in re 4.074 * [backup-simplify]: Simplify im into im 4.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.074 * [backup-simplify]: Simplify (+ 1 0) into 1 4.075 * [backup-simplify]: Simplify (sqrt 1) into 1 4.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.076 * [taylor]: Taking taylor expansion of re in re 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (/ 1 1) into 1 4.076 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.076 * [taylor]: Taking taylor expansion of re in re 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (* 1 1) into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.077 * [taylor]: Taking taylor expansion of im in re 4.077 * [backup-simplify]: Simplify im into im 4.077 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.077 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.077 * [backup-simplify]: Simplify (+ 1 0) into 1 4.078 * [backup-simplify]: Simplify (sqrt 1) into 1 4.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.079 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.079 * [taylor]: Taking taylor expansion of re in re 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify (/ 1 1) into 1 4.080 * [backup-simplify]: Simplify (- 1) into -1 4.080 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.080 * [taylor]: Taking taylor expansion of 0 in im 4.080 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (- 0) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.081 * [taylor]: Taking taylor expansion of 0 in im 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.083 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (- 0) into 0 4.084 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.084 * [taylor]: Taking taylor expansion of 1/2 in im 4.084 * [backup-simplify]: Simplify 1/2 into 1/2 4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.084 * [taylor]: Taking taylor expansion of im in im 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (- 0) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.097 * [taylor]: Taking taylor expansion of 0 in im 4.097 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 4.099 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 4.099 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.100 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.100 * [taylor]: Taking taylor expansion of im in im 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.100 * [taylor]: Taking taylor expansion of re in im 4.100 * [backup-simplify]: Simplify re into re 4.100 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.100 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.100 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.100 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.100 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.100 * [taylor]: Taking taylor expansion of im in re 4.100 * [backup-simplify]: Simplify im into im 4.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.100 * [taylor]: Taking taylor expansion of re in re 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.100 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.101 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.101 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.101 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.101 * [taylor]: Taking taylor expansion of im in re 4.101 * [backup-simplify]: Simplify im into im 4.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.101 * [taylor]: Taking taylor expansion of re in re 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.101 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.101 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.102 * [backup-simplify]: Simplify (+ 0 0) into 0 4.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.102 * [taylor]: Taking taylor expansion of im in im 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [taylor]: Taking taylor expansion of 0 in im 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.102 * [backup-simplify]: Simplify (* 1 1) into 1 4.103 * [backup-simplify]: Simplify (+ 0 1) into 1 4.103 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.103 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.103 * [taylor]: Taking taylor expansion of 1/2 in im 4.103 * [backup-simplify]: Simplify 1/2 into 1/2 4.103 * [taylor]: Taking taylor expansion of im in im 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.106 * [backup-simplify]: Simplify (+ 0 0) into 0 4.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.106 * [taylor]: Taking taylor expansion of 0 in im 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.107 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.107 * [taylor]: Taking taylor expansion of re in im 4.107 * [backup-simplify]: Simplify re into re 4.107 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.107 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.107 * [taylor]: Taking taylor expansion of im in im 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (* 1 1) into 1 4.107 * [backup-simplify]: Simplify (/ 1 1) into 1 4.108 * [backup-simplify]: Simplify (+ 0 1) into 1 4.108 * [backup-simplify]: Simplify (sqrt 1) into 1 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.109 * [backup-simplify]: Simplify (+ 0 0) into 0 4.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.110 * [taylor]: Taking taylor expansion of re in re 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.110 * [taylor]: Taking taylor expansion of im in re 4.110 * [backup-simplify]: Simplify im into im 4.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.111 * [backup-simplify]: Simplify (+ 1 0) into 1 4.111 * [backup-simplify]: Simplify (sqrt 1) into 1 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.112 * [taylor]: Taking taylor expansion of re in re 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.113 * [taylor]: Taking taylor expansion of im in re 4.113 * [backup-simplify]: Simplify im into im 4.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.113 * [backup-simplify]: Simplify (+ 1 0) into 1 4.114 * [backup-simplify]: Simplify (sqrt 1) into 1 4.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.115 * [taylor]: Taking taylor expansion of 1 in im 4.115 * [backup-simplify]: Simplify 1 into 1 4.115 * [taylor]: Taking taylor expansion of 0 in im 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.118 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.118 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.118 * [taylor]: Taking taylor expansion of 1/2 in im 4.118 * [backup-simplify]: Simplify 1/2 into 1/2 4.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.118 * [taylor]: Taking taylor expansion of im in im 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (* 1 1) into 1 4.119 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.123 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.124 * [taylor]: Taking taylor expansion of 0 in im 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.127 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.127 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.127 * [taylor]: Taking taylor expansion of re in im 4.127 * [backup-simplify]: Simplify re into re 4.127 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.127 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.127 * [taylor]: Taking taylor expansion of im in im 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.128 * [backup-simplify]: Simplify (/ 1 1) into 1 4.128 * [backup-simplify]: Simplify (+ 0 1) into 1 4.129 * [backup-simplify]: Simplify (sqrt 1) into 1 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.131 * [taylor]: Taking taylor expansion of re in re 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.132 * [backup-simplify]: Simplify (/ 1 1) into 1 4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.132 * [taylor]: Taking taylor expansion of im in re 4.132 * [backup-simplify]: Simplify im into im 4.132 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.133 * [backup-simplify]: Simplify (+ 1 0) into 1 4.133 * [backup-simplify]: Simplify (sqrt 1) into 1 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.136 * [taylor]: Taking taylor expansion of re in re 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.137 * [taylor]: Taking taylor expansion of im in re 4.137 * [backup-simplify]: Simplify im into im 4.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.137 * [backup-simplify]: Simplify (+ 1 0) into 1 4.137 * [backup-simplify]: Simplify (sqrt 1) into 1 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (+ 0 0) into 0 4.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.139 * [taylor]: Taking taylor expansion of 1 in im 4.139 * [backup-simplify]: Simplify 1 into 1 4.139 * [taylor]: Taking taylor expansion of 0 in im 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.141 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.141 * [taylor]: Taking taylor expansion of 1/2 in im 4.141 * [backup-simplify]: Simplify 1/2 into 1/2 4.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.141 * [taylor]: Taking taylor expansion of im in im 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [backup-simplify]: Simplify (* 1 1) into 1 4.142 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.144 * [backup-simplify]: Simplify (+ 0 0) into 0 4.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.145 * [taylor]: Taking taylor expansion of 0 in im 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.146 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.146 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 4.146 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 4.146 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 4.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.146 * [taylor]: Taking taylor expansion of 2.0 in im 4.146 * [backup-simplify]: Simplify 2.0 into 2.0 4.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.147 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 4.147 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 4.147 * [taylor]: Taking taylor expansion of re in im 4.147 * [backup-simplify]: Simplify re into re 4.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.147 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.147 * [taylor]: Taking taylor expansion of im in im 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.147 * [taylor]: Taking taylor expansion of re in im 4.147 * [backup-simplify]: Simplify re into re 4.147 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.147 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.147 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.147 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.148 * [backup-simplify]: Simplify (+ 0 0) into 0 4.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.148 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.148 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 4.148 * [backup-simplify]: Simplify (+ 0 0) into 0 4.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 4.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 4.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.148 * [taylor]: Taking taylor expansion of 2.0 in re 4.148 * [backup-simplify]: Simplify 2.0 into 2.0 4.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.149 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 4.149 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 4.149 * [taylor]: Taking taylor expansion of re in re 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.149 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.149 * [taylor]: Taking taylor expansion of im in re 4.149 * [backup-simplify]: Simplify im into im 4.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.149 * [taylor]: Taking taylor expansion of re in re 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.149 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.149 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.149 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.150 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.150 * [backup-simplify]: Simplify (+ 0 im) into im 4.150 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.150 * [backup-simplify]: Simplify (+ 1 0) into 1 4.150 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 4.150 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 4.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.150 * [taylor]: Taking taylor expansion of 2.0 in re 4.150 * [backup-simplify]: Simplify 2.0 into 2.0 4.151 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.151 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 4.151 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 4.151 * [taylor]: Taking taylor expansion of re in re 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.151 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.151 * [taylor]: Taking taylor expansion of im in re 4.151 * [backup-simplify]: Simplify im into im 4.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.151 * [taylor]: Taking taylor expansion of re in re 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.151 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.152 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.152 * [backup-simplify]: Simplify (+ 0 im) into im 4.152 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.152 * [backup-simplify]: Simplify (+ 1 0) into 1 4.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 4.153 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 4.153 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 4.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.153 * [taylor]: Taking taylor expansion of 2.0 in im 4.153 * [backup-simplify]: Simplify 2.0 into 2.0 4.153 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.153 * [taylor]: Taking taylor expansion of (sqrt im) in im 4.153 * [taylor]: Taking taylor expansion of im in im 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (sqrt 0) into 0 4.155 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.155 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 4.155 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 4.155 * [taylor]: Taking taylor expansion of 1/2 in im 4.155 * [backup-simplify]: Simplify 1/2 into 1/2 4.155 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 4.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.155 * [taylor]: Taking taylor expansion of 2.0 in im 4.155 * [backup-simplify]: Simplify 2.0 into 2.0 4.156 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.156 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 4.156 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.156 * [taylor]: Taking taylor expansion of im in im 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (/ 1 1) into 1 4.157 * [backup-simplify]: Simplify (sqrt 0) into 0 4.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.159 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.159 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.163 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.166 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.167 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.168 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify (+ 0 1) into 1 4.169 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.169 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 4.170 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 4.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.172 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 4.172 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 4.172 * [taylor]: Taking taylor expansion of 1/8 in im 4.172 * [backup-simplify]: Simplify 1/8 into 1/8 4.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 4.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.172 * [taylor]: Taking taylor expansion of 2.0 in im 4.173 * [backup-simplify]: Simplify 2.0 into 2.0 4.173 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 4.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 4.174 * [taylor]: Taking taylor expansion of (pow im 3) in im 4.174 * [taylor]: Taking taylor expansion of im in im 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (* 1 1) into 1 4.175 * [backup-simplify]: Simplify (* 1 1) into 1 4.175 * [backup-simplify]: Simplify (/ 1 1) into 1 4.175 * [backup-simplify]: Simplify (sqrt 0) into 0 4.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.186 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.188 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.189 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.192 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.195 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 4.195 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (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))))))) 4.196 * [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 4.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 4.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.196 * [taylor]: Taking taylor expansion of 2.0 in im 4.196 * [backup-simplify]: Simplify 2.0 into 2.0 4.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.196 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.196 * [taylor]: Taking taylor expansion of re in im 4.196 * [backup-simplify]: Simplify re into re 4.196 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.196 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.196 * [taylor]: Taking taylor expansion of re in im 4.197 * [backup-simplify]: Simplify re into re 4.197 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.197 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.197 * [taylor]: Taking taylor expansion of im in im 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 1 into 1 4.197 * [backup-simplify]: Simplify (* 1 1) into 1 4.197 * [backup-simplify]: Simplify (/ 1 1) into 1 4.197 * [backup-simplify]: Simplify (+ 0 1) into 1 4.198 * [backup-simplify]: Simplify (sqrt 1) into 1 4.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.199 * [backup-simplify]: Simplify (+ 0 1) into 1 4.200 * [backup-simplify]: Simplify (sqrt 0) into 0 4.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 4.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.201 * [taylor]: Taking taylor expansion of 2.0 in re 4.201 * [backup-simplify]: Simplify 2.0 into 2.0 4.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.202 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.202 * [taylor]: Taking taylor expansion of re in re 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.202 * [taylor]: Taking taylor expansion of re in re 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (* 1 1) into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.203 * [taylor]: Taking taylor expansion of im in re 4.203 * [backup-simplify]: Simplify im into im 4.203 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.203 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.203 * [backup-simplify]: Simplify (+ 1 0) into 1 4.203 * [backup-simplify]: Simplify (sqrt 1) into 1 4.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (+ 0 0) into 0 4.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.209 * [backup-simplify]: Simplify (+ 1 1) into 2 4.209 * [backup-simplify]: Simplify (sqrt 0) into 0 4.210 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 4.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 4.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.210 * [taylor]: Taking taylor expansion of 2.0 in re 4.210 * [backup-simplify]: Simplify 2.0 into 2.0 4.210 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.211 * [taylor]: Taking taylor expansion of re in re 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.211 * [taylor]: Taking taylor expansion of re in re 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (* 1 1) into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.212 * [taylor]: Taking taylor expansion of im in re 4.212 * [backup-simplify]: Simplify im into im 4.212 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.212 * [backup-simplify]: Simplify (+ 1 0) into 1 4.212 * [backup-simplify]: Simplify (sqrt 1) into 1 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.214 * [backup-simplify]: Simplify (+ 1 1) into 2 4.214 * [backup-simplify]: Simplify (sqrt 0) into 0 4.215 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 4.215 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.215 * [taylor]: Taking taylor expansion of 0 in im 4.215 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.217 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.217 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.217 * [taylor]: Taking taylor expansion of +nan.0 in im 4.217 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.217 * [taylor]: Taking taylor expansion of 2.0 in im 4.217 * [backup-simplify]: Simplify 2.0 into 2.0 4.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.223 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.223 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.223 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.223 * [taylor]: Taking taylor expansion of +nan.0 in im 4.223 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.223 * [taylor]: Taking taylor expansion of 2.0 in im 4.223 * [backup-simplify]: Simplify 2.0 into 2.0 4.223 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.224 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.225 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.226 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.228 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.230 * [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)) 4.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.233 * [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)))))) 4.233 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 4.233 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 4.233 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.233 * [taylor]: Taking taylor expansion of +nan.0 in im 4.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.233 * [taylor]: Taking taylor expansion of 2.0 in im 4.233 * [backup-simplify]: Simplify 2.0 into 2.0 4.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.234 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.234 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.234 * [taylor]: Taking taylor expansion of +nan.0 in im 4.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.234 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.234 * [taylor]: Taking taylor expansion of 2.0 in im 4.234 * [backup-simplify]: Simplify 2.0 into 2.0 4.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.235 * [taylor]: Taking taylor expansion of im in im 4.235 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (* 1 1) into 1 4.237 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.239 * [backup-simplify]: Simplify (- 0) into 0 4.240 * [backup-simplify]: Simplify (+ 0 0) into 0 4.240 * [backup-simplify]: Simplify (- 0) into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.242 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.244 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.245 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.248 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.249 * [backup-simplify]: Simplify (+ 0 0) into 0 4.251 * [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))) 4.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.254 * [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)))))) 4.254 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 4.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 4.254 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.254 * [taylor]: Taking taylor expansion of +nan.0 in im 4.254 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.254 * [taylor]: Taking taylor expansion of 2.0 in im 4.254 * [backup-simplify]: Simplify 2.0 into 2.0 4.255 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.255 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.255 * [taylor]: Taking taylor expansion of +nan.0 in im 4.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.255 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.255 * [taylor]: Taking taylor expansion of 2.0 in im 4.255 * [backup-simplify]: Simplify 2.0 into 2.0 4.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.257 * [taylor]: Taking taylor expansion of im in im 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (* 1 1) into 1 4.258 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.261 * [backup-simplify]: Simplify (- 0) into 0 4.261 * [backup-simplify]: Simplify (+ 0 0) into 0 4.261 * [backup-simplify]: Simplify (- 0) into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.266 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.267 * [backup-simplify]: Simplify (- 0) into 0 4.268 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.270 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.272 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.277 * [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)))))))) 4.277 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (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)))) 4.277 * [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 4.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 4.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.277 * [taylor]: Taking taylor expansion of 2.0 in im 4.277 * [backup-simplify]: Simplify 2.0 into 2.0 4.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.278 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 4.278 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.279 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.279 * [taylor]: Taking taylor expansion of re in im 4.279 * [backup-simplify]: Simplify re into re 4.279 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.279 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.279 * [taylor]: Taking taylor expansion of im in im 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.279 * [backup-simplify]: Simplify (* 1 1) into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [backup-simplify]: Simplify (+ 0 1) into 1 4.280 * [backup-simplify]: Simplify (sqrt 1) into 1 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (+ 0 0) into 0 4.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.283 * [taylor]: Taking taylor expansion of re in im 4.283 * [backup-simplify]: Simplify re into re 4.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.284 * [backup-simplify]: Simplify (+ 1 0) into 1 4.284 * [backup-simplify]: Simplify (sqrt 0) into 0 4.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 4.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.285 * [taylor]: Taking taylor expansion of 2.0 in re 4.285 * [backup-simplify]: Simplify 2.0 into 2.0 4.286 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.287 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 4.287 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.287 * [taylor]: Taking taylor expansion of re in re 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (* 1 1) into 1 4.287 * [backup-simplify]: Simplify (/ 1 1) into 1 4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.288 * [taylor]: Taking taylor expansion of im in re 4.288 * [backup-simplify]: Simplify im into im 4.288 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.288 * [backup-simplify]: Simplify (+ 1 0) into 1 4.289 * [backup-simplify]: Simplify (sqrt 1) into 1 4.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ 0 0) into 0 4.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.291 * [taylor]: Taking taylor expansion of re in re 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ 1 1) into 1 4.292 * [backup-simplify]: Simplify (- 1) into -1 4.292 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (- 0) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.296 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.298 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.299 * [backup-simplify]: Simplify (sqrt 0) into 0 4.299 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 4.299 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 4.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.299 * [taylor]: Taking taylor expansion of 2.0 in re 4.299 * [backup-simplify]: Simplify 2.0 into 2.0 4.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.300 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 4.300 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.301 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.301 * [taylor]: Taking taylor expansion of re in re 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [backup-simplify]: Simplify (* 1 1) into 1 4.301 * [backup-simplify]: Simplify (/ 1 1) into 1 4.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.301 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.301 * [taylor]: Taking taylor expansion of im in re 4.302 * [backup-simplify]: Simplify im into im 4.302 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.302 * [backup-simplify]: Simplify (+ 1 0) into 1 4.302 * [backup-simplify]: Simplify (sqrt 1) into 1 4.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.305 * [taylor]: Taking taylor expansion of re in re 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (/ 1 1) into 1 4.306 * [backup-simplify]: Simplify (- 1) into -1 4.306 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (- 0) into 0 4.307 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.311 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (- 0) into 0 4.312 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.313 * [backup-simplify]: Simplify (sqrt 0) into 0 4.313 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 4.314 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.314 * [taylor]: Taking taylor expansion of 0 in im 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 4.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.314 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.314 * [taylor]: Taking taylor expansion of +nan.0 in im 4.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.315 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.315 * [taylor]: Taking taylor expansion of 2.0 in im 4.315 * [backup-simplify]: Simplify 2.0 into 2.0 4.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.315 * [taylor]: Taking taylor expansion of im in im 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (* 1 1) into 1 4.316 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.318 * [backup-simplify]: Simplify (- 0) into 0 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (- 0) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 4.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.323 * [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)))) 4.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 4.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.323 * [taylor]: Taking taylor expansion of +nan.0 in im 4.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.323 * [taylor]: Taking taylor expansion of 2.0 in im 4.323 * [backup-simplify]: Simplify 2.0 into 2.0 4.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.324 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.324 * [taylor]: Taking taylor expansion of im in im 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (* 1 1) into 1 4.324 * [backup-simplify]: Simplify (* 1 1) into 1 4.325 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 4.336 * [backup-simplify]: Simplify (- 0) into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.339 * [backup-simplify]: Simplify (- 0) into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 4.341 * [backup-simplify]: Simplify (+ 0 0) into 0 4.342 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (- 0) into 0 4.344 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 4.345 * [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))))) 4.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.347 * [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)))))) 4.347 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 4.347 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 4.347 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.347 * [taylor]: Taking taylor expansion of +nan.0 in im 4.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.348 * [taylor]: Taking taylor expansion of 2.0 in im 4.348 * [backup-simplify]: Simplify 2.0 into 2.0 4.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.349 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.349 * [taylor]: Taking taylor expansion of im in im 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (* 1 1) into 1 4.350 * [backup-simplify]: Simplify (* 1 1) into 1 4.350 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.350 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 4.350 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 4.350 * [taylor]: Taking taylor expansion of +nan.0 in im 4.351 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.351 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 4.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.351 * [taylor]: Taking taylor expansion of 2.0 in im 4.351 * [backup-simplify]: Simplify 2.0 into 2.0 4.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.352 * [taylor]: Taking taylor expansion of (pow im 6) in im 4.352 * [taylor]: Taking taylor expansion of im in im 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (* 1 1) into 1 4.353 * [backup-simplify]: Simplify (* 1 1) into 1 4.353 * [backup-simplify]: Simplify (* 1 1) into 1 4.354 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 4.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 4.382 * [backup-simplify]: Simplify (- 0) into 0 4.382 * [backup-simplify]: Simplify (+ 0 0) into 0 4.382 * [backup-simplify]: Simplify (- 0) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * * * [progress]: simplifying candidates 4.382 * * * * [progress]: [ 1 / 78 ] simplifiying candidate # 4.382 * * * * [progress]: [ 2 / 78 ] simplifiying candidate # 4.382 * * * * [progress]: [ 3 / 78 ] simplifiying candidate # 4.383 * * * * [progress]: [ 4 / 78 ] simplifiying candidate # 4.383 * * * * [progress]: [ 5 / 78 ] simplifiying candidate # 4.383 * * * * [progress]: [ 6 / 78 ] simplifiying candidate # 4.383 * * * * [progress]: [ 7 / 78 ] simplifiying candidate # 4.383 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 4.383 * * [simplify]: iters left: 6 (8 enodes) 4.385 * * [simplify]: iters left: 5 (26 enodes) 4.389 * * [simplify]: Extracting #0: cost 1 inf + 0 4.389 * * [simplify]: Extracting #1: cost 4 inf + 0 4.389 * * [simplify]: Extracting #2: cost 7 inf + 0 4.389 * * [simplify]: Extracting #3: cost 10 inf + 0 4.389 * * [simplify]: Extracting #4: cost 14 inf + 0 4.389 * * [simplify]: Extracting #5: cost 10 inf + 84 4.389 * * [simplify]: Extracting #6: cost 8 inf + 166 4.390 * * [simplify]: Extracting #7: cost 4 inf + 854 4.390 * * [simplify]: Extracting #8: cost 1 inf + 1540 4.390 * * [simplify]: Extracting #9: cost 0 inf + 1782 4.390 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 4.390 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 4.391 * * * * [progress]: [ 8 / 78 ] simplifiying candidate # 4.391 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 4.391 * * [simplify]: iters left: 6 (7 enodes) 4.393 * * [simplify]: iters left: 5 (22 enodes) 4.399 * * [simplify]: Extracting #0: cost 1 inf + 0 4.399 * * [simplify]: Extracting #1: cost 3 inf + 0 4.399 * * [simplify]: Extracting #2: cost 5 inf + 0 4.399 * * [simplify]: Extracting #3: cost 8 inf + 0 4.399 * * [simplify]: Extracting #4: cost 12 inf + 0 4.400 * * [simplify]: Extracting #5: cost 10 inf + 2 4.400 * * [simplify]: Extracting #6: cost 1 inf + 936 4.400 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.401 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.401 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 4.401 * * * * [progress]: [ 9 / 78 ] simplifiying candidate # 4.402 * [simplify]: Simplifying (sqrt 1) 4.402 * * [simplify]: iters left: 1 (2 enodes) 4.405 * * [simplify]: Extracting #0: cost 1 inf + 0 4.405 * * [simplify]: Extracting #1: cost 0 inf + 1 4.405 * [simplify]: Simplified to 1 4.405 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 4.405 * * * * [progress]: [ 10 / 78 ] simplifiying candidate # 4.405 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 4.406 * * [simplify]: iters left: 6 (9 enodes) 4.411 * * [simplify]: iters left: 5 (45 enodes) 4.433 * * [simplify]: iters left: 4 (100 enodes) 4.478 * * [simplify]: iters left: 3 (201 enodes) 4.551 * * [simplify]: iters left: 2 (406 enodes) 4.706 * * [simplify]: Extracting #0: cost 1 inf + 0 4.706 * * [simplify]: Extracting #1: cost 3 inf + 0 4.706 * * [simplify]: Extracting #2: cost 6 inf + 0 4.707 * * [simplify]: Extracting #3: cost 62 inf + 0 4.707 * * [simplify]: Extracting #4: cost 166 inf + 460 4.709 * * [simplify]: Extracting #5: cost 131 inf + 12951 4.713 * * [simplify]: Extracting #6: cost 49 inf + 45746 4.718 * * [simplify]: Extracting #7: cost 1 inf + 66256 4.724 * * [simplify]: Extracting #8: cost 0 inf + 65919 4.730 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 4.730 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 4.731 * * * * [progress]: [ 11 / 78 ] simplifiying candidate # 4.731 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.731 * * [simplify]: iters left: 6 (8 enodes) 4.736 * * [simplify]: iters left: 5 (37 enodes) 4.750 * * [simplify]: iters left: 4 (67 enodes) 4.775 * * [simplify]: iters left: 3 (123 enodes) 4.826 * * [simplify]: iters left: 2 (278 enodes) 4.955 * * [simplify]: Extracting #0: cost 1 inf + 0 4.955 * * [simplify]: Extracting #1: cost 3 inf + 0 4.955 * * [simplify]: Extracting #2: cost 50 inf + 0 4.955 * * [simplify]: Extracting #3: cost 150 inf + 0 4.957 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.959 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.966 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.985 * * [simplify]: Extracting #7: cost 0 inf + 36129 5.000 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 5.000 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))) 5.001 * * * * [progress]: [ 12 / 78 ] simplifiying candidate # 5.001 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.001 * * [simplify]: iters left: 4 (5 enodes) 5.003 * * [simplify]: iters left: 3 (16 enodes) 5.008 * * [simplify]: Extracting #0: cost 1 inf + 0 5.008 * * [simplify]: Extracting #1: cost 4 inf + 0 5.008 * * [simplify]: Extracting #2: cost 8 inf + 0 5.008 * * [simplify]: Extracting #3: cost 4 inf + 84 5.008 * * [simplify]: Extracting #4: cost 0 inf + 410 5.009 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.009 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))) 5.009 * * * * [progress]: [ 13 / 78 ] simplifiying candidate # 5.009 * * * * [progress]: [ 14 / 78 ] simplifiying candidate # 5.009 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.009 * * [simplify]: iters left: 5 (6 enodes) 5.012 * * [simplify]: iters left: 4 (19 enodes) 5.018 * * [simplify]: Extracting #0: cost 1 inf + 0 5.018 * * [simplify]: Extracting #1: cost 3 inf + 0 5.018 * * [simplify]: Extracting #2: cost 6 inf + 0 5.018 * * [simplify]: Extracting #3: cost 10 inf + 0 5.018 * * [simplify]: Extracting #4: cost 6 inf + 84 5.018 * * [simplify]: Extracting #5: cost 0 inf + 734 5.019 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.019 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (fabs (sqrt (+ (* re re) (* im im)))))) re))))) 5.019 * * * * [progress]: [ 15 / 78 ] simplifiying candidate # 5.019 * * * * [progress]: [ 16 / 78 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 5.019 * * * * [progress]: [ 17 / 78 ] simplifiying candidate # 5.019 * [simplify]: Simplifying (* (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) 5.019 * * [simplify]: iters left: 6 (11 enodes) 5.025 * * [simplify]: iters left: 5 (35 enodes) 5.035 * * [simplify]: iters left: 4 (39 enodes) 5.046 * * [simplify]: Extracting #0: cost 1 inf + 0 5.046 * * [simplify]: Extracting #1: cost 5 inf + 0 5.046 * * [simplify]: Extracting #2: cost 10 inf + 0 5.046 * * [simplify]: Extracting #3: cost 12 inf + 1 5.046 * * [simplify]: Extracting #4: cost 15 inf + 72 5.046 * * [simplify]: Extracting #5: cost 16 inf + 184 5.046 * * [simplify]: Extracting #6: cost 13 inf + 267 5.047 * * [simplify]: Extracting #7: cost 9 inf + 794 5.048 * * [simplify]: Extracting #8: cost 1 inf + 2520 5.048 * * [simplify]: Extracting #9: cost 0 inf + 2752 5.049 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im))))) 5.049 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im)))))))))) 5.050 * * * * [progress]: [ 18 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 19 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 20 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 21 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 22 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 23 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 24 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 25 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 26 / 78 ] simplifiying candidate # 5.050 * * * * [progress]: [ 27 / 78 ] simplifiying candidate # 5.051 * [simplify]: Simplifying (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) 5.051 * * [simplify]: iters left: 6 (9 enodes) 5.055 * * [simplify]: iters left: 5 (27 enodes) 5.063 * * [simplify]: Extracting #0: cost 1 inf + 0 5.063 * * [simplify]: Extracting #1: cost 4 inf + 0 5.063 * * [simplify]: Extracting #2: cost 6 inf + 1 5.063 * * [simplify]: Extracting #3: cost 10 inf + 1 5.063 * * [simplify]: Extracting #4: cost 12 inf + 42 5.063 * * [simplify]: Extracting #5: cost 8 inf + 166 5.064 * * [simplify]: Extracting #6: cost 5 inf + 572 5.064 * * [simplify]: Extracting #7: cost 2 inf + 1168 5.065 * * [simplify]: Extracting #8: cost 0 inf + 1602 5.065 * [simplify]: Simplified to (+ re (sqrt (+ (* re re) (* im im)))) 5.065 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (sqrt (+ (* re re) (* im im))))))))) 5.066 * * * * [progress]: [ 28 / 78 ] simplifiying candidate #real (real->posit16 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))> 5.066 * * * * [progress]: [ 29 / 78 ] simplifiying candidate # 5.066 * * * * [progress]: [ 30 / 78 ] simplifiying candidate # 5.066 * * * * [progress]: [ 31 / 78 ] simplifiying candidate # 5.066 * [simplify]: Simplifying (exp 1/2) 5.066 * * [simplify]: iters left: 1 (2 enodes) 5.068 * * [simplify]: Extracting #0: cost 1 inf + 0 5.068 * * [simplify]: Extracting #1: cost 3 inf + 0 5.068 * * [simplify]: Extracting #2: cost 2 inf + 1 5.068 * * [simplify]: Extracting #3: cost 0 inf + 143 5.068 * [simplify]: Simplified to (exp 1/2) 5.069 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re))))) 5.069 * * * * [progress]: [ 32 / 78 ] simplifiying candidate # 5.069 * [simplify]: Simplifying (exp 1) 5.069 * * [simplify]: iters left: 1 (2 enodes) 5.071 * * [simplify]: Extracting #0: cost 1 inf + 0 5.071 * * [simplify]: Extracting #1: cost 0 inf + 1 5.071 * [simplify]: Simplified to E 5.071 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))) 5.071 * * * * [progress]: [ 33 / 78 ] simplifiying candidate # 5.071 * [simplify]: Simplifying (exp (/ 1 2)) 5.071 * * [simplify]: iters left: 3 (4 enodes) 5.076 * * [simplify]: iters left: 2 (17 enodes) 5.082 * * [simplify]: iters left: 1 (20 enodes) 5.089 * * [simplify]: Extracting #0: cost 1 inf + 0 5.089 * * [simplify]: Extracting #1: cost 4 inf + 0 5.089 * * [simplify]: Extracting #2: cost 0 inf + 84 5.089 * [simplify]: Simplified to (sqrt E) 5.089 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt E) (log (+ (* re re) (* im im)))) re))))) 5.090 * * * * [progress]: [ 34 / 78 ] simplifiying candidate # 5.090 * [simplify]: Simplifying (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 5.090 * * [simplify]: iters left: 6 (10 enodes) 5.095 * * [simplify]: iters left: 5 (33 enodes) 5.105 * * [simplify]: iters left: 4 (39 enodes) 5.118 * * [simplify]: iters left: 3 (50 enodes) 5.134 * * [simplify]: iters left: 2 (74 enodes) 5.157 * * [simplify]: iters left: 1 (127 enodes) 5.190 * * [simplify]: Extracting #0: cost 1 inf + 0 5.190 * * [simplify]: Extracting #1: cost 14 inf + 0 5.190 * * [simplify]: Extracting #2: cost 52 inf + 1 5.191 * * [simplify]: Extracting #3: cost 70 inf + 4 5.191 * * [simplify]: Extracting #4: cost 73 inf + 5 5.192 * * [simplify]: Extracting #5: cost 76 inf + 5 5.192 * * [simplify]: Extracting #6: cost 80 inf + 5 5.192 * * [simplify]: Extracting #7: cost 75 inf + 130 5.194 * * [simplify]: Extracting #8: cost 63 inf + 3306 5.198 * * [simplify]: Extracting #9: cost 31 inf + 16431 5.209 * * [simplify]: Extracting #10: cost 2 inf + 39399 5.219 * * [simplify]: Extracting #11: cost 0 inf + 41064 5.226 * [simplify]: Simplified to (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 5.226 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) re))))) 5.226 * * * * [progress]: [ 35 / 78 ] simplifiying candidate # 5.226 * [simplify]: Simplifying (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) 5.226 * * [simplify]: iters left: 6 (9 enodes) 5.229 * * [simplify]: iters left: 5 (28 enodes) 5.233 * * [simplify]: Extracting #0: cost 1 inf + 0 5.233 * * [simplify]: Extracting #1: cost 3 inf + 0 5.233 * * [simplify]: Extracting #2: cost 5 inf + 0 5.233 * * [simplify]: Extracting #3: cost 7 inf + 0 5.233 * * [simplify]: Extracting #4: cost 9 inf + 0 5.233 * * [simplify]: Extracting #5: cost 12 inf + 0 5.233 * * [simplify]: Extracting #6: cost 16 inf + 0 5.233 * * [simplify]: Extracting #7: cost 12 inf + 84 5.233 * * [simplify]: Extracting #8: cost 10 inf + 166 5.233 * * [simplify]: Extracting #9: cost 7 inf + 572 5.234 * * [simplify]: Extracting #10: cost 4 inf + 1238 5.234 * * [simplify]: Extracting #11: cost 1 inf + 2084 5.234 * * [simplify]: Extracting #12: cost 0 inf + 2426 5.235 * [simplify]: Simplified to (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) 5.235 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (sqrt (log (sqrt (+ (* re re) (* im im)))))) re))))) 5.235 * * * * [progress]: [ 36 / 78 ] simplifiying candidate # 5.235 * [simplify]: Simplifying (exp 1) 5.235 * * [simplify]: iters left: 1 (2 enodes) 5.236 * * [simplify]: Extracting #0: cost 1 inf + 0 5.236 * * [simplify]: Extracting #1: cost 0 inf + 1 5.236 * [simplify]: Simplified to E 5.236 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))) 5.236 * * * * [progress]: [ 37 / 78 ] simplifiying candidate # 5.236 * [simplify]: Simplifying (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 5.237 * * [simplify]: iters left: 6 (10 enodes) 5.239 * * [simplify]: iters left: 5 (31 enodes) 5.244 * * [simplify]: iters left: 4 (35 enodes) 5.250 * * [simplify]: Extracting #0: cost 1 inf + 0 5.250 * * [simplify]: Extracting #1: cost 4 inf + 0 5.250 * * [simplify]: Extracting #2: cost 8 inf + 0 5.250 * * [simplify]: Extracting #3: cost 11 inf + 0 5.250 * * [simplify]: Extracting #4: cost 14 inf + 0 5.250 * * [simplify]: Extracting #5: cost 18 inf + 0 5.250 * * [simplify]: Extracting #6: cost 15 inf + 43 5.250 * * [simplify]: Extracting #7: cost 13 inf + 125 5.250 * * [simplify]: Extracting #8: cost 9 inf + 572 5.250 * * [simplify]: Extracting #9: cost 2 inf + 2406 5.251 * * [simplify]: Extracting #10: cost 0 inf + 3110 5.251 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 5.251 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 5.252 * * * * [progress]: [ 38 / 78 ] simplifiying candidate # 5.252 * [simplify]: Simplifying (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 5.252 * * [simplify]: iters left: 6 (10 enodes) 5.259 * * [simplify]: iters left: 5 (30 enodes) 5.267 * * [simplify]: Extracting #0: cost 1 inf + 0 5.267 * * [simplify]: Extracting #1: cost 5 inf + 0 5.267 * * [simplify]: Extracting #2: cost 9 inf + 0 5.267 * * [simplify]: Extracting #3: cost 12 inf + 0 5.268 * * [simplify]: Extracting #4: cost 16 inf + 0 5.268 * * [simplify]: Extracting #5: cost 12 inf + 84 5.268 * * [simplify]: Extracting #6: cost 10 inf + 166 5.268 * * [simplify]: Extracting #7: cost 7 inf + 732 5.269 * * [simplify]: Extracting #8: cost 2 inf + 1852 5.269 * * [simplify]: Extracting #9: cost 0 inf + 2406 5.270 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 5.270 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 5.270 * * * * [progress]: [ 39 / 78 ] simplifiying candidate # 5.271 * [simplify]: Simplifying (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) 5.271 * * [simplify]: iters left: 6 (9 enodes) 5.275 * * [simplify]: iters left: 5 (26 enodes) 5.283 * * [simplify]: Extracting #0: cost 1 inf + 0 5.283 * * [simplify]: Extracting #1: cost 4 inf + 0 5.283 * * [simplify]: Extracting #2: cost 7 inf + 0 5.283 * * [simplify]: Extracting #3: cost 10 inf + 0 5.283 * * [simplify]: Extracting #4: cost 14 inf + 0 5.283 * * [simplify]: Extracting #5: cost 10 inf + 84 5.283 * * [simplify]: Extracting #6: cost 8 inf + 166 5.283 * * [simplify]: Extracting #7: cost 5 inf + 572 5.284 * * [simplify]: Extracting #8: cost 2 inf + 1208 5.284 * * [simplify]: Extracting #9: cost 0 inf + 1682 5.285 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 5.285 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 5.285 * * * * [progress]: [ 40 / 78 ] simplifiying candidate # 5.286 * [simplify]: Simplifying (exp (log (sqrt 1))) 5.286 * * [simplify]: iters left: 3 (4 enodes) 5.290 * * [simplify]: iters left: 2 (12 enodes) 5.295 * * [simplify]: iters left: 1 (14 enodes) 5.298 * * [simplify]: Extracting #0: cost 1 inf + 0 5.298 * * [simplify]: Extracting #1: cost 0 inf + 1 5.298 * [simplify]: Simplified to 1 5.299 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (exp (log (sqrt (+ (* re re) (* im im)))))) re))))) 5.299 * * * * [progress]: [ 41 / 78 ] simplifiying candidate # 5.299 * [simplify]: Simplifying (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) 5.299 * * [simplify]: iters left: 6 (9 enodes) 5.303 * * [simplify]: iters left: 5 (26 enodes) 5.311 * * [simplify]: Extracting #0: cost 1 inf + 0 5.311 * * [simplify]: Extracting #1: cost 4 inf + 0 5.311 * * [simplify]: Extracting #2: cost 7 inf + 0 5.311 * * [simplify]: Extracting #3: cost 10 inf + 0 5.311 * * [simplify]: Extracting #4: cost 14 inf + 0 5.311 * * [simplify]: Extracting #5: cost 10 inf + 84 5.311 * * [simplify]: Extracting #6: cost 8 inf + 166 5.312 * * [simplify]: Extracting #7: cost 5 inf + 572 5.312 * * [simplify]: Extracting #8: cost 2 inf + 1208 5.313 * * [simplify]: Extracting #9: cost 0 inf + 1682 5.313 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 5.313 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 5.314 * * * * [progress]: [ 42 / 78 ] simplifiying candidate # 5.314 * [simplify]: Simplifying (exp (log 1)) 5.314 * * [simplify]: iters left: 2 (3 enodes) 5.317 * * [simplify]: iters left: 1 (9 enodes) 5.319 * * [simplify]: Extracting #0: cost 1 inf + 0 5.319 * * [simplify]: Extracting #1: cost 0 inf + 1 5.319 * [simplify]: Simplified to 1 5.319 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (exp (log (sqrt (+ (* re re) (* im im)))))) re))))) 5.319 * * * * [progress]: [ 43 / 78 ] simplifiying candidate # 5.320 * [simplify]: Simplifying (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 5.320 * * [simplify]: iters left: 6 (11 enodes) 5.326 * * [simplify]: iters left: 5 (49 enodes) 5.342 * * [simplify]: iters left: 4 (104 enodes) 5.371 * * [simplify]: iters left: 3 (203 enodes) 5.441 * * [simplify]: iters left: 2 (402 enodes) 5.586 * * [simplify]: Extracting #0: cost 1 inf + 0 5.586 * * [simplify]: Extracting #1: cost 4 inf + 0 5.586 * * [simplify]: Extracting #2: cost 8 inf + 0 5.587 * * [simplify]: Extracting #3: cost 63 inf + 0 5.587 * * [simplify]: Extracting #4: cost 159 inf + 702 5.588 * * [simplify]: Extracting #5: cost 150 inf + 5367 5.596 * * [simplify]: Extracting #6: cost 76 inf + 30661 5.601 * * [simplify]: Extracting #7: cost 5 inf + 61831 5.606 * * [simplify]: Extracting #8: cost 0 inf + 64346 5.612 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 5.612 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 5.613 * * * * [progress]: [ 44 / 78 ] simplifiying candidate # 5.613 * [simplify]: Simplifying (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 5.613 * * [simplify]: iters left: 6 (10 enodes) 5.619 * * [simplify]: iters left: 5 (41 enodes) 5.628 * * [simplify]: iters left: 4 (71 enodes) 5.642 * * [simplify]: iters left: 3 (127 enodes) 5.688 * * [simplify]: iters left: 2 (282 enodes) 5.817 * * [simplify]: Extracting #0: cost 1 inf + 0 5.817 * * [simplify]: Extracting #1: cost 4 inf + 0 5.817 * * [simplify]: Extracting #2: cost 52 inf + 0 5.818 * * [simplify]: Extracting #3: cost 152 inf + 0 5.820 * * [simplify]: Extracting #4: cost 197 inf + 858 5.823 * * [simplify]: Extracting #5: cost 139 inf + 9708 5.829 * * [simplify]: Extracting #6: cost 14 inf + 33426 5.837 * * [simplify]: Extracting #7: cost 0 inf + 36965 5.845 * * [simplify]: Extracting #8: cost 0 inf + 36925 5.854 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 5.854 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (exp (log (sqrt (- (* re re) (* im im)))))) re))))) 5.854 * * * * [progress]: [ 45 / 78 ] simplifiying candidate # 5.855 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.855 * * [simplify]: iters left: 4 (5 enodes) 5.857 * * [simplify]: iters left: 3 (16 enodes) 5.860 * * [simplify]: Extracting #0: cost 1 inf + 0 5.860 * * [simplify]: Extracting #1: cost 4 inf + 0 5.860 * * [simplify]: Extracting #2: cost 8 inf + 0 5.862 * * [simplify]: Extracting #3: cost 4 inf + 84 5.862 * * [simplify]: Extracting #4: cost 0 inf + 410 5.862 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.863 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 5.863 * * * * [progress]: [ 46 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 47 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 48 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 49 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 50 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 51 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 52 / 78 ] simplifiying candidate #real (real->posit16 (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 5.863 * * * * [progress]: [ 53 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 54 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 55 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 56 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 57 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 58 / 78 ] simplifiying candidate # 5.863 * * * * [progress]: [ 59 / 78 ] simplifiying candidate # 5.863 * [simplify]: Simplifying (sqrt 2.0) 5.863 * * [simplify]: iters left: 1 (2 enodes) 5.865 * * [simplify]: Extracting #0: cost 1 inf + 0 5.865 * * [simplify]: Extracting #1: cost 3 inf + 0 5.865 * * [simplify]: Extracting #2: cost 2 inf + 1 5.865 * * [simplify]: Extracting #3: cost 0 inf + 83 5.865 * [simplify]: Simplified to (sqrt 2.0) 5.865 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))) 5.865 * * * * [progress]: [ 60 / 78 ] simplifiying candidate # 5.865 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) 5.865 * * [simplify]: iters left: 6 (15 enodes) 5.871 * * [simplify]: iters left: 5 (64 enodes) 5.890 * * [simplify]: iters left: 4 (123 enodes) 5.923 * * [simplify]: iters left: 3 (249 enodes) 6.012 * * [simplify]: Extracting #0: cost 1 inf + 0 6.012 * * [simplify]: Extracting #1: cost 3 inf + 0 6.012 * * [simplify]: Extracting #2: cost 14 inf + 0 6.013 * * [simplify]: Extracting #3: cost 61 inf + 1 6.013 * * [simplify]: Extracting #4: cost 115 inf + 126 6.015 * * [simplify]: Extracting #5: cost 107 inf + 674 6.016 * * [simplify]: Extracting #6: cost 79 inf + 7402 6.022 * * [simplify]: Extracting #7: cost 34 inf + 20355 6.032 * * [simplify]: Extracting #8: cost 5 inf + 32100 6.042 * * [simplify]: Extracting #9: cost 0 inf + 35174 6.053 * [simplify]: Simplified to (sqrt (* (+ (* (* re re) re) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))) 2.0)) 6.053 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (+ (* (* re re) re) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))) 2.0)) (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))))))) 6.053 * * * * [progress]: [ 61 / 78 ] simplifiying candidate # 6.054 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) 6.054 * * [simplify]: iters left: 6 (13 enodes) 6.061 * * [simplify]: iters left: 5 (46 enodes) 6.076 * * [simplify]: iters left: 4 (71 enodes) 6.102 * * [simplify]: iters left: 3 (151 enodes) 6.162 * * [simplify]: iters left: 2 (380 enodes) 6.361 * * [simplify]: Extracting #0: cost 1 inf + 0 6.361 * * [simplify]: Extracting #1: cost 3 inf + 0 6.361 * * [simplify]: Extracting #2: cost 67 inf + 0 6.362 * * [simplify]: Extracting #3: cost 131 inf + 45 6.363 * * [simplify]: Extracting #4: cost 141 inf + 1478 6.364 * * [simplify]: Extracting #5: cost 111 inf + 5262 6.369 * * [simplify]: Extracting #6: cost 39 inf + 24209 6.377 * * [simplify]: Extracting #7: cost 3 inf + 34263 6.386 * * [simplify]: Extracting #8: cost 0 inf + 35149 6.394 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 6.394 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) 6.395 * * * * [progress]: [ 62 / 78 ] simplifiying candidate # 6.395 * [simplify]: Simplifying (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) 6.395 * * [simplify]: iters left: 6 (11 enodes) 6.398 * * [simplify]: iters left: 5 (40 enodes) 6.406 * * [simplify]: iters left: 4 (50 enodes) 6.417 * * [simplify]: Extracting #0: cost 1 inf + 0 6.417 * * [simplify]: Extracting #1: cost 6 inf + 0 6.417 * * [simplify]: Extracting #2: cost 10 inf + 1 6.417 * * [simplify]: Extracting #3: cost 11 inf + 44 6.417 * * [simplify]: Extracting #4: cost 14 inf + 86 6.417 * * [simplify]: Extracting #5: cost 16 inf + 127 6.417 * * [simplify]: Extracting #6: cost 14 inf + 169 6.417 * * [simplify]: Extracting #7: cost 11 inf + 373 6.418 * * [simplify]: Extracting #8: cost 5 inf + 1456 6.418 * * [simplify]: Extracting #9: cost 1 inf + 2336 6.419 * * [simplify]: Extracting #10: cost 0 inf + 2579 6.419 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 6.419 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 6.419 * * * * [progress]: [ 63 / 78 ] simplifiying candidate # 6.420 * [simplify]: Simplifying (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) 6.420 * * [simplify]: iters left: 6 (11 enodes) 6.424 * * [simplify]: iters left: 5 (40 enodes) 6.431 * * [simplify]: iters left: 4 (50 enodes) 6.440 * * [simplify]: Extracting #0: cost 1 inf + 0 6.440 * * [simplify]: Extracting #1: cost 6 inf + 0 6.440 * * [simplify]: Extracting #2: cost 10 inf + 1 6.440 * * [simplify]: Extracting #3: cost 11 inf + 44 6.440 * * [simplify]: Extracting #4: cost 14 inf + 86 6.440 * * [simplify]: Extracting #5: cost 16 inf + 127 6.441 * * [simplify]: Extracting #6: cost 14 inf + 169 6.441 * * [simplify]: Extracting #7: cost 11 inf + 373 6.441 * * [simplify]: Extracting #8: cost 5 inf + 1456 6.442 * * [simplify]: Extracting #9: cost 1 inf + 2336 6.444 * * [simplify]: Extracting #10: cost 0 inf + 2579 6.445 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 6.445 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 6.445 * * * * [progress]: [ 64 / 78 ] simplifiying candidate # 6.445 * * * * [progress]: [ 65 / 78 ] simplifiying candidate # 6.445 * * * * [progress]: [ 66 / 78 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))> 6.445 * * * * [progress]: [ 67 / 78 ] simplifiying candidate # 6.445 * [simplify]: Simplifying im 6.445 * * [simplify]: iters left: 0 (1 enodes) 6.446 * * [simplify]: Extracting #0: cost 1 inf + 0 6.446 * * [simplify]: Extracting #1: cost 0 inf + 1 6.446 * [simplify]: Simplified to im 6.446 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log im)) re))))) 6.446 * * * * [progress]: [ 68 / 78 ] simplifiying candidate # 6.446 * [simplify]: Simplifying re 6.446 * * [simplify]: iters left: 0 (1 enodes) 6.447 * * [simplify]: Extracting #0: cost 1 inf + 0 6.447 * * [simplify]: Extracting #1: cost 0 inf + 1 6.447 * [simplify]: Simplified to re 6.447 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re))))) 6.447 * * * * [progress]: [ 69 / 78 ] simplifiying candidate # 6.447 * [simplify]: Simplifying (* -1 re) 6.447 * * [simplify]: iters left: 2 (3 enodes) 6.449 * * [simplify]: iters left: 1 (11 enodes) 6.453 * * [simplify]: Extracting #0: cost 1 inf + 0 6.453 * * [simplify]: Extracting #1: cost 4 inf + 0 6.453 * * [simplify]: Extracting #2: cost 0 inf + 84 6.453 * [simplify]: Simplified to (- re) 6.453 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re))))) 6.453 * * * * [progress]: [ 70 / 78 ] simplifiying candidate # 6.453 * [simplify]: Simplifying (+ re im) 6.453 * * [simplify]: iters left: 2 (3 enodes) 6.454 * * [simplify]: iters left: 1 (10 enodes) 6.456 * * [simplify]: Extracting #0: cost 1 inf + 0 6.456 * * [simplify]: Extracting #1: cost 4 inf + 0 6.456 * * [simplify]: Extracting #2: cost 2 inf + 2 6.456 * * [simplify]: Extracting #3: cost 0 inf + 86 6.456 * [simplify]: Simplified to (+ im re) 6.456 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 6.456 * * * * [progress]: [ 71 / 78 ] simplifiying candidate # 6.456 * [simplify]: Simplifying (* 2 re) 6.456 * * [simplify]: iters left: 2 (3 enodes) 6.457 * * [simplify]: iters left: 1 (10 enodes) 6.459 * * [simplify]: Extracting #0: cost 1 inf + 0 6.459 * * [simplify]: Extracting #1: cost 4 inf + 0 6.459 * * [simplify]: Extracting #2: cost 2 inf + 2 6.459 * * [simplify]: Extracting #3: cost 0 inf + 86 6.459 * [simplify]: Simplified to (* 2 re) 6.459 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 6.459 * * * * [progress]: [ 72 / 78 ] simplifiying candidate # 6.460 * [simplify]: Simplifying 0 6.460 * * [simplify]: iters left: 0 (1 enodes) 6.460 * * [simplify]: Extracting #0: cost 1 inf + 0 6.460 * * [simplify]: Extracting #1: cost 0 inf + 1 6.460 * [simplify]: Simplified to 0 6.460 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 6.460 * * * * [progress]: [ 73 / 78 ] simplifiying candidate # 6.461 * [simplify]: Simplifying im 6.461 * * [simplify]: iters left: 0 (1 enodes) 6.461 * * [simplify]: Extracting #0: cost 1 inf + 0 6.461 * * [simplify]: Extracting #1: cost 0 inf + 1 6.461 * [simplify]: Simplified to im 6.461 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 6.461 * * * * [progress]: [ 74 / 78 ] simplifiying candidate # 6.461 * [simplify]: Simplifying re 6.461 * * [simplify]: iters left: 0 (1 enodes) 6.462 * * [simplify]: Extracting #0: cost 1 inf + 0 6.462 * * [simplify]: Extracting #1: cost 0 inf + 1 6.462 * [simplify]: Simplified to re 6.462 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 6.462 * * * * [progress]: [ 75 / 78 ] simplifiying candidate # 6.462 * [simplify]: Simplifying (* -1 re) 6.462 * * [simplify]: iters left: 2 (3 enodes) 6.463 * * [simplify]: iters left: 1 (11 enodes) 6.465 * * [simplify]: Extracting #0: cost 1 inf + 0 6.465 * * [simplify]: Extracting #1: cost 4 inf + 0 6.465 * * [simplify]: Extracting #2: cost 0 inf + 84 6.465 * [simplify]: Simplified to (- re) 6.465 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 6.465 * * * * [progress]: [ 76 / 78 ] simplifiying candidate # 6.466 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 6.466 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 6.466 * * * * [progress]: [ 77 / 78 ] simplifiying candidate # 6.466 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 6.466 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 6.466 * * * * [progress]: [ 78 / 78 ] simplifiying candidate # 6.466 * [simplify]: Simplifying 0 6.466 * * [simplify]: iters left: 0 (1 enodes) 6.467 * * [simplify]: Extracting #0: cost 1 inf + 0 6.467 * * [simplify]: Extracting #1: cost 0 inf + 1 6.467 * [simplify]: Simplified to 0 6.467 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 6.467 * * * [progress]: adding candidates to table 7.379 * * [progress]: iteration 3 / 4 7.379 * * * [progress]: picking best candidate 7.423 * * * * [pick]: Picked # 7.423 * * * [progress]: localizing error 7.502 * * * [progress]: generating rewritten candidates 7.502 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 7.516 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 7.530 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 7.547 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 8.005 * * * [progress]: generating series expansions 8.005 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 8.005 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.005 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.005 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.005 * [taylor]: Taking taylor expansion of im in im 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 1 into 1 8.005 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.005 * [taylor]: Taking taylor expansion of re in im 8.005 * [backup-simplify]: Simplify re into re 8.005 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.005 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.005 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.006 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.006 * [backup-simplify]: Simplify (+ 0 0) into 0 8.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.006 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.006 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.006 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.006 * [taylor]: Taking taylor expansion of im in re 8.007 * [backup-simplify]: Simplify im into im 8.007 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.007 * [taylor]: Taking taylor expansion of re in re 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 1 into 1 8.007 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.007 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.007 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.007 * [backup-simplify]: Simplify (+ 0 0) into 0 8.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.008 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.008 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.008 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.008 * [taylor]: Taking taylor expansion of im in re 8.008 * [backup-simplify]: Simplify im into im 8.008 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.008 * [taylor]: Taking taylor expansion of re in re 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 1 into 1 8.008 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.008 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.008 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.009 * [backup-simplify]: Simplify (+ 0 0) into 0 8.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.009 * [taylor]: Taking taylor expansion of im in im 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify 1 into 1 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [taylor]: Taking taylor expansion of 0 in im 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify 1 into 1 8.010 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.010 * [backup-simplify]: Simplify (* 1 1) into 1 8.010 * [backup-simplify]: Simplify (+ 0 1) into 1 8.011 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.011 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.011 * [taylor]: Taking taylor expansion of 1/2 in im 8.011 * [backup-simplify]: Simplify 1/2 into 1/2 8.011 * [taylor]: Taking taylor expansion of im in im 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.015 * [backup-simplify]: Simplify (+ 0 0) into 0 8.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.015 * [taylor]: Taking taylor expansion of 0 in im 8.015 * [backup-simplify]: Simplify 0 into 0 8.016 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.017 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.017 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.017 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.017 * [taylor]: Taking taylor expansion of re in im 8.017 * [backup-simplify]: Simplify re into re 8.017 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.017 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.017 * [taylor]: Taking taylor expansion of im in im 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 1 into 1 8.017 * [backup-simplify]: Simplify (* 1 1) into 1 8.018 * [backup-simplify]: Simplify (/ 1 1) into 1 8.018 * [backup-simplify]: Simplify (+ 0 1) into 1 8.018 * [backup-simplify]: Simplify (sqrt 1) into 1 8.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify (+ 0 0) into 0 8.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.020 * [taylor]: Taking taylor expansion of re in re 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 1 into 1 8.020 * [backup-simplify]: Simplify (* 1 1) into 1 8.020 * [backup-simplify]: Simplify (/ 1 1) into 1 8.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.020 * [taylor]: Taking taylor expansion of im in re 8.020 * [backup-simplify]: Simplify im into im 8.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.021 * [backup-simplify]: Simplify (+ 1 0) into 1 8.021 * [backup-simplify]: Simplify (sqrt 1) into 1 8.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.022 * [backup-simplify]: Simplify (+ 0 0) into 0 8.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.023 * [taylor]: Taking taylor expansion of re in re 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [backup-simplify]: Simplify (* 1 1) into 1 8.023 * [backup-simplify]: Simplify (/ 1 1) into 1 8.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.023 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.023 * [taylor]: Taking taylor expansion of im in re 8.023 * [backup-simplify]: Simplify im into im 8.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.024 * [backup-simplify]: Simplify (+ 1 0) into 1 8.024 * [backup-simplify]: Simplify (sqrt 1) into 1 8.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (+ 0 0) into 0 8.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.025 * [taylor]: Taking taylor expansion of 1 in im 8.025 * [backup-simplify]: Simplify 1 into 1 8.025 * [taylor]: Taking taylor expansion of 0 in im 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 1 into 1 8.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.027 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.027 * [taylor]: Taking taylor expansion of 1/2 in im 8.027 * [backup-simplify]: Simplify 1/2 into 1/2 8.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.027 * [taylor]: Taking taylor expansion of im in im 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (* 1 1) into 1 8.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.030 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.031 * [backup-simplify]: Simplify (+ 0 0) into 0 8.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.031 * [taylor]: Taking taylor expansion of 0 in im 8.031 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.032 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.033 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.033 * [taylor]: Taking taylor expansion of re in im 8.033 * [backup-simplify]: Simplify re into re 8.033 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.033 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.033 * [taylor]: Taking taylor expansion of im in im 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [backup-simplify]: Simplify (* 1 1) into 1 8.033 * [backup-simplify]: Simplify (/ 1 1) into 1 8.034 * [backup-simplify]: Simplify (+ 0 1) into 1 8.034 * [backup-simplify]: Simplify (sqrt 1) into 1 8.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (+ 0 0) into 0 8.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.035 * [taylor]: Taking taylor expansion of re in re 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (* 1 1) into 1 8.036 * [backup-simplify]: Simplify (/ 1 1) into 1 8.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.036 * [taylor]: Taking taylor expansion of im in re 8.036 * [backup-simplify]: Simplify im into im 8.036 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.036 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.036 * [backup-simplify]: Simplify (+ 1 0) into 1 8.037 * [backup-simplify]: Simplify (sqrt 1) into 1 8.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.038 * [backup-simplify]: Simplify (+ 0 0) into 0 8.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.038 * [taylor]: Taking taylor expansion of re in re 8.038 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (* 1 1) into 1 8.039 * [backup-simplify]: Simplify (/ 1 1) into 1 8.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.039 * [taylor]: Taking taylor expansion of im in re 8.039 * [backup-simplify]: Simplify im into im 8.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.039 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.039 * [backup-simplify]: Simplify (+ 1 0) into 1 8.040 * [backup-simplify]: Simplify (sqrt 1) into 1 8.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.041 * [taylor]: Taking taylor expansion of 1 in im 8.041 * [backup-simplify]: Simplify 1 into 1 8.041 * [taylor]: Taking taylor expansion of 0 in im 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.044 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.044 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.044 * [taylor]: Taking taylor expansion of 1/2 in im 8.044 * [backup-simplify]: Simplify 1/2 into 1/2 8.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.044 * [taylor]: Taking taylor expansion of im in im 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [backup-simplify]: Simplify (* 1 1) into 1 8.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.047 * [backup-simplify]: Simplify (+ 0 0) into 0 8.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.047 * [taylor]: Taking taylor expansion of 0 in im 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.049 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 8.049 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.049 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.049 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.049 * [taylor]: Taking taylor expansion of im in im 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.049 * [taylor]: Taking taylor expansion of re in im 8.049 * [backup-simplify]: Simplify re into re 8.049 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.049 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.049 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.049 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.050 * [backup-simplify]: Simplify (+ 0 0) into 0 8.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.050 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.050 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.050 * [taylor]: Taking taylor expansion of im in re 8.050 * [backup-simplify]: Simplify im into im 8.050 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.050 * [taylor]: Taking taylor expansion of re in re 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.050 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.050 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.050 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.050 * [backup-simplify]: Simplify (+ 0 0) into 0 8.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.050 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.051 * [taylor]: Taking taylor expansion of im in re 8.051 * [backup-simplify]: Simplify im into im 8.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.051 * [taylor]: Taking taylor expansion of re in re 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 1 into 1 8.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.051 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.051 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.051 * [backup-simplify]: Simplify (+ 0 0) into 0 8.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.051 * [taylor]: Taking taylor expansion of im in im 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 1 into 1 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [taylor]: Taking taylor expansion of 0 in im 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 1 into 1 8.052 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.052 * [backup-simplify]: Simplify (* 1 1) into 1 8.052 * [backup-simplify]: Simplify (+ 0 1) into 1 8.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.053 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.053 * [taylor]: Taking taylor expansion of 1/2 in im 8.053 * [backup-simplify]: Simplify 1/2 into 1/2 8.053 * [taylor]: Taking taylor expansion of im in im 8.053 * [backup-simplify]: Simplify 0 into 0 8.053 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.055 * [backup-simplify]: Simplify (+ 0 0) into 0 8.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.055 * [taylor]: Taking taylor expansion of 0 in im 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.056 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.056 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.056 * [taylor]: Taking taylor expansion of re in im 8.056 * [backup-simplify]: Simplify re into re 8.056 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.056 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.056 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.056 * [taylor]: Taking taylor expansion of im in im 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 1 into 1 8.056 * [backup-simplify]: Simplify (* 1 1) into 1 8.057 * [backup-simplify]: Simplify (/ 1 1) into 1 8.057 * [backup-simplify]: Simplify (+ 0 1) into 1 8.057 * [backup-simplify]: Simplify (sqrt 1) into 1 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (+ 0 0) into 0 8.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.059 * [taylor]: Taking taylor expansion of re in re 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 1 into 1 8.059 * [backup-simplify]: Simplify (* 1 1) into 1 8.059 * [backup-simplify]: Simplify (/ 1 1) into 1 8.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.059 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.059 * [taylor]: Taking taylor expansion of im in re 8.059 * [backup-simplify]: Simplify im into im 8.059 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.059 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.060 * [backup-simplify]: Simplify (+ 1 0) into 1 8.060 * [backup-simplify]: Simplify (sqrt 1) into 1 8.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.061 * [backup-simplify]: Simplify (+ 0 0) into 0 8.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.061 * [taylor]: Taking taylor expansion of re in re 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 1 into 1 8.062 * [backup-simplify]: Simplify (* 1 1) into 1 8.062 * [backup-simplify]: Simplify (/ 1 1) into 1 8.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.062 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.062 * [taylor]: Taking taylor expansion of im in re 8.062 * [backup-simplify]: Simplify im into im 8.062 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.062 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.062 * [backup-simplify]: Simplify (+ 1 0) into 1 8.063 * [backup-simplify]: Simplify (sqrt 1) into 1 8.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.064 * [backup-simplify]: Simplify (+ 0 0) into 0 8.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.064 * [taylor]: Taking taylor expansion of 1 in im 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [taylor]: Taking taylor expansion of 0 in im 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 1 into 1 8.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.066 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.066 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.066 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.066 * [taylor]: Taking taylor expansion of 1/2 in im 8.066 * [backup-simplify]: Simplify 1/2 into 1/2 8.066 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.066 * [taylor]: Taking taylor expansion of im in im 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify 1 into 1 8.067 * [backup-simplify]: Simplify (* 1 1) into 1 8.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 0 into 0 8.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.070 * [backup-simplify]: Simplify (+ 0 0) into 0 8.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.070 * [taylor]: Taking taylor expansion of 0 in im 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.071 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.071 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.071 * [taylor]: Taking taylor expansion of re in im 8.072 * [backup-simplify]: Simplify re into re 8.072 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.072 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.072 * [taylor]: Taking taylor expansion of im in im 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify (* 1 1) into 1 8.072 * [backup-simplify]: Simplify (/ 1 1) into 1 8.072 * [backup-simplify]: Simplify (+ 0 1) into 1 8.073 * [backup-simplify]: Simplify (sqrt 1) into 1 8.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ 0 0) into 0 8.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.074 * [taylor]: Taking taylor expansion of re in re 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify 1 into 1 8.075 * [backup-simplify]: Simplify (* 1 1) into 1 8.075 * [backup-simplify]: Simplify (/ 1 1) into 1 8.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.075 * [taylor]: Taking taylor expansion of im in re 8.075 * [backup-simplify]: Simplify im into im 8.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.075 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.075 * [backup-simplify]: Simplify (+ 1 0) into 1 8.076 * [backup-simplify]: Simplify (sqrt 1) into 1 8.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.077 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.077 * [taylor]: Taking taylor expansion of re in re 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify 1 into 1 8.077 * [backup-simplify]: Simplify (* 1 1) into 1 8.078 * [backup-simplify]: Simplify (/ 1 1) into 1 8.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.078 * [taylor]: Taking taylor expansion of im in re 8.078 * [backup-simplify]: Simplify im into im 8.078 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.078 * [backup-simplify]: Simplify (+ 1 0) into 1 8.078 * [backup-simplify]: Simplify (sqrt 1) into 1 8.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.079 * [backup-simplify]: Simplify (+ 0 0) into 0 8.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.080 * [taylor]: Taking taylor expansion of 1 in im 8.080 * [backup-simplify]: Simplify 1 into 1 8.080 * [taylor]: Taking taylor expansion of 0 in im 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.081 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.082 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.082 * [taylor]: Taking taylor expansion of 1/2 in im 8.082 * [backup-simplify]: Simplify 1/2 into 1/2 8.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.082 * [taylor]: Taking taylor expansion of im in im 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 1 into 1 8.082 * [backup-simplify]: Simplify (* 1 1) into 1 8.083 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.083 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.087 * [backup-simplify]: Simplify (+ 0 0) into 0 8.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.088 * [taylor]: Taking taylor expansion of 0 in im 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.089 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 8.089 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.089 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.089 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.089 * [taylor]: Taking taylor expansion of im in im 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.089 * [taylor]: Taking taylor expansion of re in im 8.089 * [backup-simplify]: Simplify re into re 8.089 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.089 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.089 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.089 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.090 * [backup-simplify]: Simplify (+ 0 0) into 0 8.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.090 * [taylor]: Taking taylor expansion of im in re 8.090 * [backup-simplify]: Simplify im into im 8.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.090 * [taylor]: Taking taylor expansion of re in re 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 1 into 1 8.090 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.090 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.090 * [backup-simplify]: Simplify (+ 0 0) into 0 8.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.090 * [taylor]: Taking taylor expansion of im in re 8.090 * [backup-simplify]: Simplify im into im 8.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.091 * [taylor]: Taking taylor expansion of re in re 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.091 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.091 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.091 * [backup-simplify]: Simplify (+ 0 0) into 0 8.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.091 * [taylor]: Taking taylor expansion of im in im 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [taylor]: Taking taylor expansion of 0 in im 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.092 * [backup-simplify]: Simplify (* 1 1) into 1 8.092 * [backup-simplify]: Simplify (+ 0 1) into 1 8.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.093 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.093 * [taylor]: Taking taylor expansion of 1/2 in im 8.093 * [backup-simplify]: Simplify 1/2 into 1/2 8.093 * [taylor]: Taking taylor expansion of im in im 8.093 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify 1 into 1 8.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.095 * [backup-simplify]: Simplify (+ 0 0) into 0 8.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.095 * [taylor]: Taking taylor expansion of 0 in im 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.096 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.096 * [taylor]: Taking taylor expansion of re in im 8.096 * [backup-simplify]: Simplify re into re 8.096 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.096 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.096 * [taylor]: Taking taylor expansion of im in im 8.096 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify 1 into 1 8.096 * [backup-simplify]: Simplify (* 1 1) into 1 8.097 * [backup-simplify]: Simplify (/ 1 1) into 1 8.097 * [backup-simplify]: Simplify (+ 0 1) into 1 8.097 * [backup-simplify]: Simplify (sqrt 1) into 1 8.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.098 * [backup-simplify]: Simplify (+ 0 0) into 0 8.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.099 * [taylor]: Taking taylor expansion of re in re 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [backup-simplify]: Simplify (* 1 1) into 1 8.099 * [backup-simplify]: Simplify (/ 1 1) into 1 8.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.099 * [taylor]: Taking taylor expansion of im in re 8.099 * [backup-simplify]: Simplify im into im 8.099 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.100 * [backup-simplify]: Simplify (+ 1 0) into 1 8.100 * [backup-simplify]: Simplify (sqrt 1) into 1 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.101 * [backup-simplify]: Simplify (+ 0 0) into 0 8.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.102 * [taylor]: Taking taylor expansion of re in re 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [backup-simplify]: Simplify (* 1 1) into 1 8.102 * [backup-simplify]: Simplify (/ 1 1) into 1 8.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.102 * [taylor]: Taking taylor expansion of im in re 8.102 * [backup-simplify]: Simplify im into im 8.102 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.103 * [backup-simplify]: Simplify (+ 1 0) into 1 8.103 * [backup-simplify]: Simplify (sqrt 1) into 1 8.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.104 * [backup-simplify]: Simplify (+ 0 0) into 0 8.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.104 * [taylor]: Taking taylor expansion of 1 in im 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [taylor]: Taking taylor expansion of 0 in im 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.106 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.106 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.106 * [taylor]: Taking taylor expansion of 1/2 in im 8.106 * [backup-simplify]: Simplify 1/2 into 1/2 8.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.106 * [taylor]: Taking taylor expansion of im in im 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify 1 into 1 8.107 * [backup-simplify]: Simplify (* 1 1) into 1 8.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.109 * [backup-simplify]: Simplify (+ 0 0) into 0 8.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.110 * [taylor]: Taking taylor expansion of 0 in im 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.111 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.111 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.112 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.112 * [taylor]: Taking taylor expansion of re in im 8.112 * [backup-simplify]: Simplify re into re 8.112 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.112 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.112 * [taylor]: Taking taylor expansion of im in im 8.112 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify 1 into 1 8.112 * [backup-simplify]: Simplify (* 1 1) into 1 8.112 * [backup-simplify]: Simplify (/ 1 1) into 1 8.113 * [backup-simplify]: Simplify (+ 0 1) into 1 8.113 * [backup-simplify]: Simplify (sqrt 1) into 1 8.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.115 * [backup-simplify]: Simplify (+ 0 0) into 0 8.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.116 * [taylor]: Taking taylor expansion of re in re 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify (* 1 1) into 1 8.116 * [backup-simplify]: Simplify (/ 1 1) into 1 8.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.117 * [taylor]: Taking taylor expansion of im in re 8.117 * [backup-simplify]: Simplify im into im 8.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.117 * [backup-simplify]: Simplify (+ 1 0) into 1 8.118 * [backup-simplify]: Simplify (sqrt 1) into 1 8.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.119 * [backup-simplify]: Simplify (+ 0 0) into 0 8.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.120 * [taylor]: Taking taylor expansion of re in re 8.120 * [backup-simplify]: Simplify 0 into 0 8.120 * [backup-simplify]: Simplify 1 into 1 8.121 * [backup-simplify]: Simplify (* 1 1) into 1 8.121 * [backup-simplify]: Simplify (/ 1 1) into 1 8.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.121 * [taylor]: Taking taylor expansion of im in re 8.121 * [backup-simplify]: Simplify im into im 8.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.122 * [backup-simplify]: Simplify (+ 1 0) into 1 8.122 * [backup-simplify]: Simplify (sqrt 1) into 1 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.125 * [taylor]: Taking taylor expansion of 1 in im 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [taylor]: Taking taylor expansion of 0 in im 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.128 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.128 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.128 * [taylor]: Taking taylor expansion of 1/2 in im 8.128 * [backup-simplify]: Simplify 1/2 into 1/2 8.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.128 * [taylor]: Taking taylor expansion of im in im 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (* 1 1) into 1 8.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.133 * [taylor]: Taking taylor expansion of 0 in im 8.133 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.136 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 8.136 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 8.136 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 8.136 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 8.136 * [taylor]: Taking taylor expansion of re in im 8.136 * [backup-simplify]: Simplify re into re 8.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.137 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.137 * [taylor]: Taking taylor expansion of im in im 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 1 into 1 8.137 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.137 * [taylor]: Taking taylor expansion of re in im 8.137 * [backup-simplify]: Simplify re into re 8.137 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.137 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.137 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.137 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.138 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 8.138 * [taylor]: Taking taylor expansion of re in re 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.138 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.138 * [taylor]: Taking taylor expansion of im in re 8.138 * [backup-simplify]: Simplify im into im 8.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.138 * [taylor]: Taking taylor expansion of re in re 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.138 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.138 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.139 * [backup-simplify]: Simplify (+ 0 0) into 0 8.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.139 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 8.139 * [taylor]: Taking taylor expansion of re in re 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.139 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.139 * [taylor]: Taking taylor expansion of im in re 8.139 * [backup-simplify]: Simplify im into im 8.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.139 * [taylor]: Taking taylor expansion of re in re 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.139 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.139 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.139 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.140 * [backup-simplify]: Simplify (+ 0 0) into 0 8.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.140 * [backup-simplify]: Simplify (+ 0 im) into im 8.140 * [taylor]: Taking taylor expansion of im in im 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify (+ 1 0) into 1 8.141 * [taylor]: Taking taylor expansion of 1 in im 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.142 * [backup-simplify]: Simplify (* 1 1) into 1 8.142 * [backup-simplify]: Simplify (+ 0 1) into 1 8.143 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.143 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 8.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.143 * [taylor]: Taking taylor expansion of 1/2 in im 8.143 * [backup-simplify]: Simplify 1/2 into 1/2 8.143 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.143 * [taylor]: Taking taylor expansion of im in im 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (/ 1 1) into 1 8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.145 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.147 * [backup-simplify]: Simplify (+ 0 0) into 0 8.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.148 * [backup-simplify]: Simplify (+ 0 0) into 0 8.148 * [taylor]: Taking taylor expansion of 0 in im 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 8.151 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (exp (log (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 8.151 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 8.151 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 8.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.151 * [taylor]: Taking taylor expansion of re in im 8.151 * [backup-simplify]: Simplify re into re 8.151 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.151 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.151 * [taylor]: Taking taylor expansion of re in im 8.151 * [backup-simplify]: Simplify re into re 8.151 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.151 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.151 * [taylor]: Taking taylor expansion of im in im 8.152 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify 1 into 1 8.152 * [backup-simplify]: Simplify (* 1 1) into 1 8.152 * [backup-simplify]: Simplify (/ 1 1) into 1 8.153 * [backup-simplify]: Simplify (+ 0 1) into 1 8.153 * [backup-simplify]: Simplify (sqrt 1) into 1 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.156 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 8.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.156 * [taylor]: Taking taylor expansion of re in re 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify (/ 1 1) into 1 8.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.156 * [taylor]: Taking taylor expansion of re in re 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify 1 into 1 8.157 * [backup-simplify]: Simplify (* 1 1) into 1 8.157 * [backup-simplify]: Simplify (/ 1 1) into 1 8.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.157 * [taylor]: Taking taylor expansion of im in re 8.157 * [backup-simplify]: Simplify im into im 8.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.158 * [backup-simplify]: Simplify (+ 1 0) into 1 8.158 * [backup-simplify]: Simplify (sqrt 1) into 1 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.161 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 8.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.161 * [taylor]: Taking taylor expansion of re in re 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (/ 1 1) into 1 8.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.161 * [taylor]: Taking taylor expansion of re in re 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [backup-simplify]: Simplify (* 1 1) into 1 8.162 * [backup-simplify]: Simplify (/ 1 1) into 1 8.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.162 * [taylor]: Taking taylor expansion of im in re 8.162 * [backup-simplify]: Simplify im into im 8.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.163 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.163 * [backup-simplify]: Simplify (+ 1 0) into 1 8.163 * [backup-simplify]: Simplify (sqrt 1) into 1 8.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ 0 0) into 0 8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.166 * [backup-simplify]: Simplify (+ 1 1) into 2 8.166 * [taylor]: Taking taylor expansion of 2 in im 8.166 * [backup-simplify]: Simplify 2 into 2 8.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.167 * [taylor]: Taking taylor expansion of 0 in im 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 2 into 2 8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.170 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.172 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.172 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 8.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.172 * [taylor]: Taking taylor expansion of 1/2 in im 8.172 * [backup-simplify]: Simplify 1/2 into 1/2 8.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.172 * [taylor]: Taking taylor expansion of im in im 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 1 into 1 8.172 * [backup-simplify]: Simplify (* 1 1) into 1 8.173 * [backup-simplify]: Simplify (/ 1 1) into 1 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.178 * [backup-simplify]: Simplify (+ 0 0) into 0 8.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.179 * [backup-simplify]: Simplify (+ 0 0) into 0 8.179 * [taylor]: Taking taylor expansion of 0 in im 8.179 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 8.184 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (exp (log (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 8.184 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 8.184 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 8.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.184 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.184 * [taylor]: Taking taylor expansion of re in im 8.184 * [backup-simplify]: Simplify re into re 8.184 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.184 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.184 * [taylor]: Taking taylor expansion of im in im 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (* 1 1) into 1 8.185 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [backup-simplify]: Simplify (+ 0 1) into 1 8.186 * [backup-simplify]: Simplify (sqrt 1) into 1 8.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.187 * [backup-simplify]: Simplify (+ 0 0) into 0 8.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.188 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.188 * [taylor]: Taking taylor expansion of re in im 8.188 * [backup-simplify]: Simplify re into re 8.188 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.188 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 8.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.188 * [taylor]: Taking taylor expansion of re in re 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.189 * [backup-simplify]: Simplify (* 1 1) into 1 8.189 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.189 * [taylor]: Taking taylor expansion of im in re 8.189 * [backup-simplify]: Simplify im into im 8.189 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.190 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.190 * [backup-simplify]: Simplify (+ 1 0) into 1 8.190 * [backup-simplify]: Simplify (sqrt 1) into 1 8.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.192 * [backup-simplify]: Simplify (+ 0 0) into 0 8.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.193 * [taylor]: Taking taylor expansion of re in re 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.193 * [backup-simplify]: Simplify (/ 1 1) into 1 8.193 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 8.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.193 * [taylor]: Taking taylor expansion of re in re 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.194 * [backup-simplify]: Simplify (* 1 1) into 1 8.194 * [backup-simplify]: Simplify (/ 1 1) into 1 8.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.194 * [taylor]: Taking taylor expansion of im in re 8.194 * [backup-simplify]: Simplify im into im 8.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.194 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.195 * [backup-simplify]: Simplify (+ 1 0) into 1 8.195 * [backup-simplify]: Simplify (sqrt 1) into 1 8.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (+ 0 0) into 0 8.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.198 * [taylor]: Taking taylor expansion of re in re 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (/ 1 1) into 1 8.199 * [backup-simplify]: Simplify (- 1) into -1 8.199 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.199 * [taylor]: Taking taylor expansion of 0 in im 8.199 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (- 0) into 0 8.201 * [backup-simplify]: Simplify (+ 0 0) into 0 8.201 * [taylor]: Taking taylor expansion of 0 in im 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.203 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.206 * [taylor]: Taking taylor expansion of 1/2 in im 8.206 * [backup-simplify]: Simplify 1/2 into 1/2 8.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.206 * [taylor]: Taking taylor expansion of im in im 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify (* 1 1) into 1 8.206 * [backup-simplify]: Simplify (/ 1 1) into 1 8.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.211 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.211 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.213 * [backup-simplify]: Simplify (- 0) into 0 8.213 * [backup-simplify]: Simplify (+ 0 0) into 0 8.213 * [taylor]: Taking taylor expansion of 0 in im 8.213 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * * * [progress]: simplifying candidates 8.218 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 8.219 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 8.219 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 8.219 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 8.219 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 8.219 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 8.219 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 8.219 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 8.219 * * [simplify]: iters left: 6 (8 enodes) 8.223 * * [simplify]: iters left: 5 (26 enodes) 8.231 * * [simplify]: Extracting #0: cost 1 inf + 0 8.231 * * [simplify]: Extracting #1: cost 4 inf + 0 8.231 * * [simplify]: Extracting #2: cost 7 inf + 0 8.231 * * [simplify]: Extracting #3: cost 10 inf + 0 8.231 * * [simplify]: Extracting #4: cost 14 inf + 0 8.231 * * [simplify]: Extracting #5: cost 10 inf + 84 8.231 * * [simplify]: Extracting #6: cost 8 inf + 166 8.232 * * [simplify]: Extracting #7: cost 4 inf + 854 8.232 * * [simplify]: Extracting #8: cost 1 inf + 1540 8.233 * * [simplify]: Extracting #9: cost 0 inf + 1782 8.233 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 8.233 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) re))))) 8.233 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 8.234 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.234 * * [simplify]: iters left: 6 (7 enodes) 8.237 * * [simplify]: iters left: 5 (22 enodes) 8.244 * * [simplify]: Extracting #0: cost 1 inf + 0 8.244 * * [simplify]: Extracting #1: cost 3 inf + 0 8.244 * * [simplify]: Extracting #2: cost 5 inf + 0 8.244 * * [simplify]: Extracting #3: cost 8 inf + 0 8.244 * * [simplify]: Extracting #4: cost 12 inf + 0 8.244 * * [simplify]: Extracting #5: cost 10 inf + 2 8.245 * * [simplify]: Extracting #6: cost 1 inf + 936 8.245 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.246 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.246 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) re))))) 8.246 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 8.246 * [simplify]: Simplifying (sqrt 1) 8.246 * * [simplify]: iters left: 1 (2 enodes) 8.249 * * [simplify]: Extracting #0: cost 1 inf + 0 8.249 * * [simplify]: Extracting #1: cost 0 inf + 1 8.250 * [simplify]: Simplified to 1 8.250 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) re))))) 8.250 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 8.250 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 8.250 * * [simplify]: iters left: 6 (9 enodes) 8.256 * * [simplify]: iters left: 5 (45 enodes) 8.278 * * [simplify]: iters left: 4 (100 enodes) 8.316 * * [simplify]: iters left: 3 (201 enodes) 8.377 * * [simplify]: iters left: 2 (406 enodes) 8.552 * * [simplify]: Extracting #0: cost 1 inf + 0 8.552 * * [simplify]: Extracting #1: cost 3 inf + 0 8.552 * * [simplify]: Extracting #2: cost 6 inf + 0 8.552 * * [simplify]: Extracting #3: cost 62 inf + 0 8.553 * * [simplify]: Extracting #4: cost 166 inf + 460 8.554 * * [simplify]: Extracting #5: cost 131 inf + 12951 8.558 * * [simplify]: Extracting #6: cost 49 inf + 45746 8.564 * * [simplify]: Extracting #7: cost 1 inf + 66256 8.572 * * [simplify]: Extracting #8: cost 0 inf + 65919 8.578 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 8.578 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) re))))) 8.578 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 8.579 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 8.579 * * [simplify]: iters left: 6 (8 enodes) 8.581 * * [simplify]: iters left: 5 (37 enodes) 8.589 * * [simplify]: iters left: 4 (67 enodes) 8.610 * * [simplify]: iters left: 3 (123 enodes) 8.664 * * [simplify]: iters left: 2 (278 enodes) 8.807 * * [simplify]: Extracting #0: cost 1 inf + 0 8.807 * * [simplify]: Extracting #1: cost 3 inf + 0 8.807 * * [simplify]: Extracting #2: cost 50 inf + 0 8.808 * * [simplify]: Extracting #3: cost 150 inf + 0 8.810 * * [simplify]: Extracting #4: cost 194 inf + 1180 8.815 * * [simplify]: Extracting #5: cost 123 inf + 12421 8.828 * * [simplify]: Extracting #6: cost 12 inf + 33804 8.836 * * [simplify]: Extracting #7: cost 0 inf + 36129 8.844 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 8.844 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) re))))) 8.844 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 8.845 * [simplify]: Simplifying (+ (* re re) (* im im)) 8.845 * * [simplify]: iters left: 4 (5 enodes) 8.846 * * [simplify]: iters left: 3 (16 enodes) 8.849 * * [simplify]: Extracting #0: cost 1 inf + 0 8.849 * * [simplify]: Extracting #1: cost 4 inf + 0 8.849 * * [simplify]: Extracting #2: cost 8 inf + 0 8.849 * * [simplify]: Extracting #3: cost 4 inf + 84 8.849 * * [simplify]: Extracting #4: cost 0 inf + 410 8.849 * [simplify]: Simplified to (+ (* re re) (* im im)) 8.849 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) re))))) 8.850 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 8.850 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 8.850 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 8.850 * * [simplify]: iters left: 5 (6 enodes) 8.852 * * [simplify]: iters left: 4 (19 enodes) 8.855 * * [simplify]: Extracting #0: cost 1 inf + 0 8.855 * * [simplify]: Extracting #1: cost 3 inf + 0 8.855 * * [simplify]: Extracting #2: cost 6 inf + 0 8.855 * * [simplify]: Extracting #3: cost 10 inf + 0 8.855 * * [simplify]: Extracting #4: cost 6 inf + 84 8.855 * * [simplify]: Extracting #5: cost 0 inf + 734 8.855 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.855 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) re))))) 8.855 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 8.855 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re)))))> 8.855 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 8.855 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 8.855 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 8.856 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 8.856 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 8.856 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 8.856 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 8.856 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 8.856 * * [simplify]: iters left: 6 (8 enodes) 8.859 * * [simplify]: iters left: 5 (26 enodes) 8.867 * * [simplify]: Extracting #0: cost 1 inf + 0 8.867 * * [simplify]: Extracting #1: cost 4 inf + 0 8.867 * * [simplify]: Extracting #2: cost 7 inf + 0 8.867 * * [simplify]: Extracting #3: cost 10 inf + 0 8.867 * * [simplify]: Extracting #4: cost 14 inf + 0 8.867 * * [simplify]: Extracting #5: cost 10 inf + 84 8.867 * * [simplify]: Extracting #6: cost 8 inf + 166 8.868 * * [simplify]: Extracting #7: cost 4 inf + 854 8.868 * * [simplify]: Extracting #8: cost 1 inf + 1540 8.869 * * [simplify]: Extracting #9: cost 0 inf + 1782 8.869 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 8.869 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.870 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 8.870 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.870 * * [simplify]: iters left: 6 (7 enodes) 8.873 * * [simplify]: iters left: 5 (22 enodes) 8.880 * * [simplify]: Extracting #0: cost 1 inf + 0 8.880 * * [simplify]: Extracting #1: cost 3 inf + 0 8.880 * * [simplify]: Extracting #2: cost 5 inf + 0 8.880 * * [simplify]: Extracting #3: cost 8 inf + 0 8.880 * * [simplify]: Extracting #4: cost 12 inf + 0 8.880 * * [simplify]: Extracting #5: cost 10 inf + 2 8.881 * * [simplify]: Extracting #6: cost 1 inf + 936 8.881 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.881 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.881 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.882 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 8.882 * [simplify]: Simplifying (sqrt 1) 8.882 * * [simplify]: iters left: 1 (2 enodes) 8.885 * * [simplify]: Extracting #0: cost 1 inf + 0 8.885 * * [simplify]: Extracting #1: cost 0 inf + 1 8.885 * [simplify]: Simplified to 1 8.885 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.886 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 8.886 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 8.886 * * [simplify]: iters left: 6 (9 enodes) 8.895 * * [simplify]: iters left: 5 (45 enodes) 8.918 * * [simplify]: iters left: 4 (100 enodes) 8.966 * * [simplify]: iters left: 3 (201 enodes) 9.060 * * [simplify]: iters left: 2 (406 enodes) 9.208 * * [simplify]: Extracting #0: cost 1 inf + 0 9.208 * * [simplify]: Extracting #1: cost 3 inf + 0 9.208 * * [simplify]: Extracting #2: cost 6 inf + 0 9.208 * * [simplify]: Extracting #3: cost 62 inf + 0 9.209 * * [simplify]: Extracting #4: cost 166 inf + 460 9.210 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.214 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.220 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.230 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.235 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 9.235 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.236 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 9.236 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 9.236 * * [simplify]: iters left: 6 (8 enodes) 9.239 * * [simplify]: iters left: 5 (37 enodes) 9.249 * * [simplify]: iters left: 4 (67 enodes) 9.269 * * [simplify]: iters left: 3 (123 enodes) 9.317 * * [simplify]: iters left: 2 (278 enodes) 9.468 * * [simplify]: Extracting #0: cost 1 inf + 0 9.468 * * [simplify]: Extracting #1: cost 3 inf + 0 9.468 * * [simplify]: Extracting #2: cost 50 inf + 0 9.468 * * [simplify]: Extracting #3: cost 150 inf + 0 9.470 * * [simplify]: Extracting #4: cost 194 inf + 1180 9.472 * * [simplify]: Extracting #5: cost 123 inf + 12421 9.478 * * [simplify]: Extracting #6: cost 12 inf + 33804 9.486 * * [simplify]: Extracting #7: cost 0 inf + 36129 9.495 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 9.495 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.496 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 9.496 * [simplify]: Simplifying (+ (* re re) (* im im)) 9.496 * * [simplify]: iters left: 4 (5 enodes) 9.499 * * [simplify]: iters left: 3 (16 enodes) 9.503 * * [simplify]: Extracting #0: cost 1 inf + 0 9.504 * * [simplify]: Extracting #1: cost 4 inf + 0 9.504 * * [simplify]: Extracting #2: cost 8 inf + 0 9.504 * * [simplify]: Extracting #3: cost 4 inf + 84 9.504 * * [simplify]: Extracting #4: cost 0 inf + 410 9.504 * [simplify]: Simplified to (+ (* re re) (* im im)) 9.504 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.504 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 9.505 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 9.505 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 9.505 * * [simplify]: iters left: 5 (6 enodes) 9.508 * * [simplify]: iters left: 4 (19 enodes) 9.511 * * [simplify]: Extracting #0: cost 1 inf + 0 9.512 * * [simplify]: Extracting #1: cost 3 inf + 0 9.512 * * [simplify]: Extracting #2: cost 6 inf + 0 9.512 * * [simplify]: Extracting #3: cost 10 inf + 0 9.512 * * [simplify]: Extracting #4: cost 6 inf + 84 9.512 * * [simplify]: Extracting #5: cost 0 inf + 734 9.512 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 9.512 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.512 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 9.512 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> 9.512 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 9.512 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 9.512 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 9.512 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 9.512 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 9.513 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 9.513 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 9.513 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 9.513 * * [simplify]: iters left: 6 (8 enodes) 9.515 * * [simplify]: iters left: 5 (26 enodes) 9.519 * * [simplify]: Extracting #0: cost 1 inf + 0 9.519 * * [simplify]: Extracting #1: cost 4 inf + 0 9.519 * * [simplify]: Extracting #2: cost 7 inf + 0 9.519 * * [simplify]: Extracting #3: cost 10 inf + 0 9.519 * * [simplify]: Extracting #4: cost 14 inf + 0 9.519 * * [simplify]: Extracting #5: cost 10 inf + 84 9.519 * * [simplify]: Extracting #6: cost 8 inf + 166 9.519 * * [simplify]: Extracting #7: cost 4 inf + 854 9.520 * * [simplify]: Extracting #8: cost 1 inf + 1540 9.520 * * [simplify]: Extracting #9: cost 0 inf + 1782 9.520 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 9.520 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.521 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 9.521 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 9.521 * * [simplify]: iters left: 6 (7 enodes) 9.523 * * [simplify]: iters left: 5 (22 enodes) 9.526 * * [simplify]: Extracting #0: cost 1 inf + 0 9.526 * * [simplify]: Extracting #1: cost 3 inf + 0 9.526 * * [simplify]: Extracting #2: cost 5 inf + 0 9.526 * * [simplify]: Extracting #3: cost 8 inf + 0 9.526 * * [simplify]: Extracting #4: cost 12 inf + 0 9.526 * * [simplify]: Extracting #5: cost 10 inf + 2 9.526 * * [simplify]: Extracting #6: cost 1 inf + 936 9.527 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.527 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.527 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.527 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 9.527 * [simplify]: Simplifying (sqrt 1) 9.527 * * [simplify]: iters left: 1 (2 enodes) 9.530 * * [simplify]: Extracting #0: cost 1 inf + 0 9.530 * * [simplify]: Extracting #1: cost 0 inf + 1 9.530 * [simplify]: Simplified to 1 9.530 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.530 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 9.530 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 9.530 * * [simplify]: iters left: 6 (9 enodes) 9.534 * * [simplify]: iters left: 5 (45 enodes) 9.550 * * [simplify]: iters left: 4 (100 enodes) 9.597 * * [simplify]: iters left: 3 (201 enodes) 9.667 * * [simplify]: iters left: 2 (406 enodes) 9.850 * * [simplify]: Extracting #0: cost 1 inf + 0 9.850 * * [simplify]: Extracting #1: cost 3 inf + 0 9.850 * * [simplify]: Extracting #2: cost 6 inf + 0 9.850 * * [simplify]: Extracting #3: cost 62 inf + 0 9.851 * * [simplify]: Extracting #4: cost 166 inf + 460 9.854 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.861 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.872 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.883 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.891 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 9.891 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.892 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 9.892 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 9.892 * * [simplify]: iters left: 6 (8 enodes) 9.895 * * [simplify]: iters left: 5 (37 enodes) 9.902 * * [simplify]: iters left: 4 (67 enodes) 9.919 * * [simplify]: iters left: 3 (123 enodes) 9.966 * * [simplify]: iters left: 2 (278 enodes) 10.091 * * [simplify]: Extracting #0: cost 1 inf + 0 10.091 * * [simplify]: Extracting #1: cost 3 inf + 0 10.091 * * [simplify]: Extracting #2: cost 50 inf + 0 10.091 * * [simplify]: Extracting #3: cost 150 inf + 0 10.092 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.095 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.105 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.120 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.135 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 10.135 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.135 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 10.136 * [simplify]: Simplifying (+ (* re re) (* im im)) 10.136 * * [simplify]: iters left: 4 (5 enodes) 10.138 * * [simplify]: iters left: 3 (16 enodes) 10.143 * * [simplify]: Extracting #0: cost 1 inf + 0 10.143 * * [simplify]: Extracting #1: cost 4 inf + 0 10.143 * * [simplify]: Extracting #2: cost 8 inf + 0 10.144 * * [simplify]: Extracting #3: cost 4 inf + 84 10.144 * * [simplify]: Extracting #4: cost 0 inf + 410 10.144 * [simplify]: Simplified to (+ (* re re) (* im im)) 10.144 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.144 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 10.144 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 10.145 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 10.145 * * [simplify]: iters left: 5 (6 enodes) 10.148 * * [simplify]: iters left: 4 (19 enodes) 10.154 * * [simplify]: Extracting #0: cost 1 inf + 0 10.154 * * [simplify]: Extracting #1: cost 3 inf + 0 10.154 * * [simplify]: Extracting #2: cost 6 inf + 0 10.154 * * [simplify]: Extracting #3: cost 10 inf + 0 10.154 * * [simplify]: Extracting #4: cost 6 inf + 84 10.154 * * [simplify]: Extracting #5: cost 0 inf + 734 10.155 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 10.155 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.155 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 10.155 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> 10.155 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 10.156 * [simplify]: Simplifying (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp re)) 10.156 * * [simplify]: iters left: 6 (14 enodes) 10.163 * * [simplify]: iters left: 5 (50 enodes) 10.174 * * [simplify]: iters left: 4 (74 enodes) 10.188 * * [simplify]: iters left: 3 (110 enodes) 10.209 * * [simplify]: iters left: 2 (175 enodes) 10.255 * * [simplify]: iters left: 1 (332 enodes) 10.374 * * [simplify]: Extracting #0: cost 1 inf + 0 10.374 * * [simplify]: Extracting #1: cost 35 inf + 0 10.375 * * [simplify]: Extracting #2: cost 127 inf + 0 10.376 * * [simplify]: Extracting #3: cost 192 inf + 3 10.377 * * [simplify]: Extracting #4: cost 231 inf + 79 10.379 * * [simplify]: Extracting #5: cost 235 inf + 192 10.382 * * [simplify]: Extracting #6: cost 209 inf + 6936 10.394 * * [simplify]: Extracting #7: cost 128 inf + 44539 10.419 * * [simplify]: Extracting #8: cost 57 inf + 91365 10.460 * * [simplify]: Extracting #9: cost 2 inf + 143392 10.487 * * [simplify]: Extracting #10: cost 0 inf + 144836 10.530 * * [simplify]: Extracting #11: cost 0 inf + 144181 10.576 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im))))) 10.576 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im)))))))))) 10.576 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 10.577 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> 10.577 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 10.578 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 10.579 * [simplify]: Simplifying im 10.579 * * [simplify]: iters left: 0 (1 enodes) 10.580 * * [simplify]: Extracting #0: cost 1 inf + 0 10.580 * * [simplify]: Extracting #1: cost 0 inf + 1 10.580 * [simplify]: Simplified to im 10.580 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt im)))) re))))) 10.580 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 10.580 * [simplify]: Simplifying re 10.580 * * [simplify]: iters left: 0 (1 enodes) 10.581 * * [simplify]: Extracting #0: cost 1 inf + 0 10.581 * * [simplify]: Extracting #1: cost 0 inf + 1 10.581 * [simplify]: Simplified to re 10.581 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt re)))) re))))) 10.581 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 10.581 * [simplify]: Simplifying (* -1 re) 10.581 * * [simplify]: iters left: 2 (3 enodes) 10.584 * * [simplify]: iters left: 1 (11 enodes) 10.587 * * [simplify]: Extracting #0: cost 1 inf + 0 10.587 * * [simplify]: Extracting #1: cost 4 inf + 0 10.587 * * [simplify]: Extracting #2: cost 0 inf + 84 10.587 * [simplify]: Simplified to (- re) 10.587 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (- re))))) re))))) 10.588 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 10.588 * [simplify]: Simplifying im 10.588 * * [simplify]: iters left: 0 (1 enodes) 10.588 * * [simplify]: Extracting #0: cost 1 inf + 0 10.588 * * [simplify]: Extracting #1: cost 0 inf + 1 10.589 * [simplify]: Simplified to im 10.589 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.589 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 10.589 * [simplify]: Simplifying re 10.589 * * [simplify]: iters left: 0 (1 enodes) 10.590 * * [simplify]: Extracting #0: cost 1 inf + 0 10.590 * * [simplify]: Extracting #1: cost 0 inf + 1 10.590 * [simplify]: Simplified to re 10.590 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.590 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 10.590 * [simplify]: Simplifying (* -1 re) 10.590 * * [simplify]: iters left: 2 (3 enodes) 10.592 * * [simplify]: iters left: 1 (11 enodes) 10.596 * * [simplify]: Extracting #0: cost 1 inf + 0 10.596 * * [simplify]: Extracting #1: cost 4 inf + 0 10.596 * * [simplify]: Extracting #2: cost 0 inf + 84 10.596 * [simplify]: Simplified to (- re) 10.596 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.596 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 10.596 * [simplify]: Simplifying im 10.597 * * [simplify]: iters left: 0 (1 enodes) 10.597 * * [simplify]: Extracting #0: cost 1 inf + 0 10.597 * * [simplify]: Extracting #1: cost 0 inf + 1 10.597 * [simplify]: Simplified to im 10.597 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.597 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 10.598 * [simplify]: Simplifying re 10.598 * * [simplify]: iters left: 0 (1 enodes) 10.598 * * [simplify]: Extracting #0: cost 1 inf + 0 10.598 * * [simplify]: Extracting #1: cost 0 inf + 1 10.598 * [simplify]: Simplified to re 10.598 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.599 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 10.599 * [simplify]: Simplifying (* -1 re) 10.599 * * [simplify]: iters left: 2 (3 enodes) 10.601 * * [simplify]: iters left: 1 (11 enodes) 10.605 * * [simplify]: Extracting #0: cost 1 inf + 0 10.605 * * [simplify]: Extracting #1: cost 4 inf + 0 10.605 * * [simplify]: Extracting #2: cost 0 inf + 84 10.605 * [simplify]: Simplified to (- re) 10.605 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (- re)) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 10.605 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 10.605 * [simplify]: Simplifying (+ re im) 10.606 * * [simplify]: iters left: 2 (3 enodes) 10.607 * * [simplify]: iters left: 1 (10 enodes) 10.610 * * [simplify]: Extracting #0: cost 1 inf + 0 10.610 * * [simplify]: Extracting #1: cost 4 inf + 0 10.610 * * [simplify]: Extracting #2: cost 2 inf + 2 10.610 * * [simplify]: Extracting #3: cost 0 inf + 86 10.610 * [simplify]: Simplified to (+ im re) 10.610 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 10.610 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 10.610 * [simplify]: Simplifying (* 2 re) 10.611 * * [simplify]: iters left: 2 (3 enodes) 10.613 * * [simplify]: iters left: 1 (10 enodes) 10.616 * * [simplify]: Extracting #0: cost 1 inf + 0 10.616 * * [simplify]: Extracting #1: cost 4 inf + 0 10.616 * * [simplify]: Extracting #2: cost 2 inf + 2 10.616 * * [simplify]: Extracting #3: cost 0 inf + 86 10.616 * [simplify]: Simplified to (* 2 re) 10.616 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 10.616 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 10.617 * [simplify]: Simplifying 0 10.617 * * [simplify]: iters left: 0 (1 enodes) 10.618 * * [simplify]: Extracting #0: cost 1 inf + 0 10.618 * * [simplify]: Extracting #1: cost 0 inf + 1 10.618 * [simplify]: Simplified to 0 10.618 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 10.618 * * * [progress]: adding candidates to table 11.796 * * [progress]: iteration 4 / 4 11.797 * * * [progress]: picking best candidate 11.823 * * * * [pick]: Picked # 11.823 * * * [progress]: localizing error 11.895 * * * [progress]: generating rewritten candidates 11.895 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1 1) 11.910 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 11.922 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 11.930 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 12.062 * * * [progress]: generating series expansions 12.062 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1 1) 12.062 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 12.062 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 12.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.062 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.062 * [taylor]: Taking taylor expansion of im in im 12.062 * [backup-simplify]: Simplify 0 into 0 12.062 * [backup-simplify]: Simplify 1 into 1 12.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.062 * [taylor]: Taking taylor expansion of re in im 12.062 * [backup-simplify]: Simplify re into re 12.062 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.062 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.062 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.063 * [backup-simplify]: Simplify (+ 0 0) into 0 12.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.063 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.063 * [taylor]: Taking taylor expansion of im in re 12.063 * [backup-simplify]: Simplify im into im 12.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.063 * [taylor]: Taking taylor expansion of re in re 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.063 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.063 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.063 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.064 * [backup-simplify]: Simplify (+ 0 0) into 0 12.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.064 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.064 * [taylor]: Taking taylor expansion of im in re 12.064 * [backup-simplify]: Simplify im into im 12.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.064 * [taylor]: Taking taylor expansion of re in re 12.064 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify 1 into 1 12.064 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.064 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.064 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.065 * [backup-simplify]: Simplify (+ 0 0) into 0 12.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.065 * [taylor]: Taking taylor expansion of im in im 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [taylor]: Taking taylor expansion of 0 in im 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.066 * [backup-simplify]: Simplify (* 1 1) into 1 12.066 * [backup-simplify]: Simplify (+ 0 1) into 1 12.066 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.066 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.066 * [taylor]: Taking taylor expansion of 1/2 in im 12.066 * [backup-simplify]: Simplify 1/2 into 1/2 12.066 * [taylor]: Taking taylor expansion of im in im 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.069 * [backup-simplify]: Simplify (+ 0 0) into 0 12.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.069 * [taylor]: Taking taylor expansion of 0 in im 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.070 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.071 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.071 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.071 * [taylor]: Taking taylor expansion of re in im 12.071 * [backup-simplify]: Simplify re into re 12.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.071 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.071 * [taylor]: Taking taylor expansion of im in im 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 1 into 1 12.072 * [backup-simplify]: Simplify (* 1 1) into 1 12.072 * [backup-simplify]: Simplify (/ 1 1) into 1 12.072 * [backup-simplify]: Simplify (+ 0 1) into 1 12.073 * [backup-simplify]: Simplify (sqrt 1) into 1 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.075 * [backup-simplify]: Simplify (+ 0 0) into 0 12.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.075 * [taylor]: Taking taylor expansion of re in re 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 1 into 1 12.076 * [backup-simplify]: Simplify (* 1 1) into 1 12.076 * [backup-simplify]: Simplify (/ 1 1) into 1 12.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.076 * [taylor]: Taking taylor expansion of im in re 12.076 * [backup-simplify]: Simplify im into im 12.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.077 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.077 * [backup-simplify]: Simplify (+ 1 0) into 1 12.077 * [backup-simplify]: Simplify (sqrt 1) into 1 12.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.079 * [backup-simplify]: Simplify (+ 0 0) into 0 12.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.080 * [taylor]: Taking taylor expansion of re in re 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [backup-simplify]: Simplify (* 1 1) into 1 12.081 * [backup-simplify]: Simplify (/ 1 1) into 1 12.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.081 * [taylor]: Taking taylor expansion of im in re 12.081 * [backup-simplify]: Simplify im into im 12.081 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.081 * [backup-simplify]: Simplify (+ 1 0) into 1 12.082 * [backup-simplify]: Simplify (sqrt 1) into 1 12.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.084 * [backup-simplify]: Simplify (+ 0 0) into 0 12.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.084 * [taylor]: Taking taylor expansion of 1 in im 12.084 * [backup-simplify]: Simplify 1 into 1 12.084 * [taylor]: Taking taylor expansion of 0 in im 12.085 * [backup-simplify]: Simplify 0 into 0 12.085 * [backup-simplify]: Simplify 1 into 1 12.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.086 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.088 * [taylor]: Taking taylor expansion of 1/2 in im 12.088 * [backup-simplify]: Simplify 1/2 into 1/2 12.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.088 * [taylor]: Taking taylor expansion of im in im 12.088 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [backup-simplify]: Simplify (* 1 1) into 1 12.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.090 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.094 * [taylor]: Taking taylor expansion of 0 in im 12.094 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.096 * [taylor]: Taking taylor expansion of re in im 12.096 * [backup-simplify]: Simplify re into re 12.096 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.097 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.097 * [taylor]: Taking taylor expansion of im in im 12.097 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify 1 into 1 12.097 * [backup-simplify]: Simplify (* 1 1) into 1 12.098 * [backup-simplify]: Simplify (/ 1 1) into 1 12.098 * [backup-simplify]: Simplify (+ 0 1) into 1 12.099 * [backup-simplify]: Simplify (sqrt 1) into 1 12.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.101 * [backup-simplify]: Simplify (+ 0 0) into 0 12.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.102 * [taylor]: Taking taylor expansion of re in re 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [backup-simplify]: Simplify (* 1 1) into 1 12.102 * [backup-simplify]: Simplify (/ 1 1) into 1 12.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.102 * [taylor]: Taking taylor expansion of im in re 12.103 * [backup-simplify]: Simplify im into im 12.103 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.103 * [backup-simplify]: Simplify (+ 1 0) into 1 12.103 * [backup-simplify]: Simplify (sqrt 1) into 1 12.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.105 * [backup-simplify]: Simplify (+ 0 0) into 0 12.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.106 * [taylor]: Taking taylor expansion of re in re 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 1 into 1 12.107 * [backup-simplify]: Simplify (* 1 1) into 1 12.107 * [backup-simplify]: Simplify (/ 1 1) into 1 12.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.107 * [taylor]: Taking taylor expansion of im in re 12.107 * [backup-simplify]: Simplify im into im 12.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.108 * [backup-simplify]: Simplify (+ 1 0) into 1 12.108 * [backup-simplify]: Simplify (sqrt 1) into 1 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.110 * [backup-simplify]: Simplify (+ 0 0) into 0 12.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.111 * [taylor]: Taking taylor expansion of 1 in im 12.111 * [backup-simplify]: Simplify 1 into 1 12.111 * [taylor]: Taking taylor expansion of 0 in im 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.114 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.114 * [taylor]: Taking taylor expansion of 1/2 in im 12.114 * [backup-simplify]: Simplify 1/2 into 1/2 12.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.114 * [taylor]: Taking taylor expansion of im in im 12.114 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify 1 into 1 12.114 * [backup-simplify]: Simplify (* 1 1) into 1 12.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.116 * [backup-simplify]: Simplify 0 into 0 12.116 * [backup-simplify]: Simplify 0 into 0 12.116 * [backup-simplify]: Simplify 0 into 0 12.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.119 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.119 * [backup-simplify]: Simplify (+ 0 0) into 0 12.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.120 * [taylor]: Taking taylor expansion of 0 in im 12.120 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.122 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 12.122 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 12.122 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 12.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.122 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.122 * [taylor]: Taking taylor expansion of im in im 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.122 * [taylor]: Taking taylor expansion of re in im 12.122 * [backup-simplify]: Simplify re into re 12.123 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.123 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.123 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.123 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.123 * [backup-simplify]: Simplify (+ 0 0) into 0 12.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.123 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.123 * [taylor]: Taking taylor expansion of im in re 12.123 * [backup-simplify]: Simplify im into im 12.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.123 * [taylor]: Taking taylor expansion of re in re 12.123 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify 1 into 1 12.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.124 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.124 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.124 * [backup-simplify]: Simplify (+ 0 0) into 0 12.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.124 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.124 * [taylor]: Taking taylor expansion of im in re 12.124 * [backup-simplify]: Simplify im into im 12.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.125 * [taylor]: Taking taylor expansion of re in re 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 1 into 1 12.125 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.125 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.125 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.125 * [backup-simplify]: Simplify (+ 0 0) into 0 12.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.126 * [taylor]: Taking taylor expansion of im in im 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [taylor]: Taking taylor expansion of 0 in im 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.127 * [backup-simplify]: Simplify (* 1 1) into 1 12.127 * [backup-simplify]: Simplify (+ 0 1) into 1 12.128 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.128 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.128 * [taylor]: Taking taylor expansion of 1/2 in im 12.128 * [backup-simplify]: Simplify 1/2 into 1/2 12.128 * [taylor]: Taking taylor expansion of im in im 12.128 * [backup-simplify]: Simplify 0 into 0 12.128 * [backup-simplify]: Simplify 1 into 1 12.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.131 * [backup-simplify]: Simplify (+ 0 0) into 0 12.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.131 * [taylor]: Taking taylor expansion of 0 in im 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.133 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.133 * [taylor]: Taking taylor expansion of re in im 12.133 * [backup-simplify]: Simplify re into re 12.133 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.133 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.133 * [taylor]: Taking taylor expansion of im in im 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.134 * [backup-simplify]: Simplify (* 1 1) into 1 12.134 * [backup-simplify]: Simplify (/ 1 1) into 1 12.134 * [backup-simplify]: Simplify (+ 0 1) into 1 12.135 * [backup-simplify]: Simplify (sqrt 1) into 1 12.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.136 * [backup-simplify]: Simplify (+ 0 0) into 0 12.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.137 * [taylor]: Taking taylor expansion of re in re 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 1 into 1 12.138 * [backup-simplify]: Simplify (* 1 1) into 1 12.138 * [backup-simplify]: Simplify (/ 1 1) into 1 12.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.138 * [taylor]: Taking taylor expansion of im in re 12.138 * [backup-simplify]: Simplify im into im 12.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.139 * [backup-simplify]: Simplify (+ 1 0) into 1 12.139 * [backup-simplify]: Simplify (sqrt 1) into 1 12.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.141 * [backup-simplify]: Simplify (+ 0 0) into 0 12.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.142 * [taylor]: Taking taylor expansion of re in re 12.142 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify 1 into 1 12.142 * [backup-simplify]: Simplify (* 1 1) into 1 12.143 * [backup-simplify]: Simplify (/ 1 1) into 1 12.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.143 * [taylor]: Taking taylor expansion of im in re 12.143 * [backup-simplify]: Simplify im into im 12.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.143 * [backup-simplify]: Simplify (+ 1 0) into 1 12.144 * [backup-simplify]: Simplify (sqrt 1) into 1 12.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.146 * [backup-simplify]: Simplify (+ 0 0) into 0 12.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.146 * [taylor]: Taking taylor expansion of 1 in im 12.146 * [backup-simplify]: Simplify 1 into 1 12.146 * [taylor]: Taking taylor expansion of 0 in im 12.146 * [backup-simplify]: Simplify 0 into 0 12.146 * [backup-simplify]: Simplify 1 into 1 12.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.150 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.150 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.150 * [taylor]: Taking taylor expansion of 1/2 in im 12.150 * [backup-simplify]: Simplify 1/2 into 1/2 12.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.150 * [taylor]: Taking taylor expansion of im in im 12.150 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify 1 into 1 12.150 * [backup-simplify]: Simplify (* 1 1) into 1 12.151 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.152 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.155 * [backup-simplify]: Simplify (+ 0 0) into 0 12.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.156 * [taylor]: Taking taylor expansion of 0 in im 12.156 * [backup-simplify]: Simplify 0 into 0 12.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.158 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.158 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.158 * [taylor]: Taking taylor expansion of re in im 12.159 * [backup-simplify]: Simplify re into re 12.159 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.159 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.159 * [taylor]: Taking taylor expansion of im in im 12.159 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify 1 into 1 12.159 * [backup-simplify]: Simplify (* 1 1) into 1 12.160 * [backup-simplify]: Simplify (/ 1 1) into 1 12.160 * [backup-simplify]: Simplify (+ 0 1) into 1 12.160 * [backup-simplify]: Simplify (sqrt 1) into 1 12.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.162 * [backup-simplify]: Simplify (+ 0 0) into 0 12.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.163 * [taylor]: Taking taylor expansion of re in re 12.163 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify 1 into 1 12.163 * [backup-simplify]: Simplify (* 1 1) into 1 12.164 * [backup-simplify]: Simplify (/ 1 1) into 1 12.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.164 * [taylor]: Taking taylor expansion of im in re 12.164 * [backup-simplify]: Simplify im into im 12.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.164 * [backup-simplify]: Simplify (+ 1 0) into 1 12.165 * [backup-simplify]: Simplify (sqrt 1) into 1 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.166 * [backup-simplify]: Simplify (+ 0 0) into 0 12.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.167 * [taylor]: Taking taylor expansion of re in re 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.168 * [backup-simplify]: Simplify (* 1 1) into 1 12.168 * [backup-simplify]: Simplify (/ 1 1) into 1 12.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.168 * [taylor]: Taking taylor expansion of im in re 12.168 * [backup-simplify]: Simplify im into im 12.168 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.168 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.169 * [backup-simplify]: Simplify (+ 1 0) into 1 12.169 * [backup-simplify]: Simplify (sqrt 1) into 1 12.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.171 * [backup-simplify]: Simplify (+ 0 0) into 0 12.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.172 * [taylor]: Taking taylor expansion of 1 in im 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [taylor]: Taking taylor expansion of 0 in im 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.174 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.176 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.176 * [taylor]: Taking taylor expansion of 1/2 in im 12.176 * [backup-simplify]: Simplify 1/2 into 1/2 12.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.176 * [taylor]: Taking taylor expansion of im in im 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.177 * [backup-simplify]: Simplify (* 1 1) into 1 12.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.181 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.181 * [backup-simplify]: Simplify (+ 0 0) into 0 12.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.182 * [taylor]: Taking taylor expansion of 0 in im 12.182 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.189 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 12.189 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 12.190 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 12.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.190 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.190 * [taylor]: Taking taylor expansion of im in im 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify 1 into 1 12.190 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.190 * [taylor]: Taking taylor expansion of re in im 12.190 * [backup-simplify]: Simplify re into re 12.190 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.190 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.190 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.190 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.191 * [backup-simplify]: Simplify (+ 0 0) into 0 12.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.191 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.191 * [taylor]: Taking taylor expansion of im in re 12.191 * [backup-simplify]: Simplify im into im 12.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.191 * [taylor]: Taking taylor expansion of re in re 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify 1 into 1 12.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.191 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.191 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.192 * [backup-simplify]: Simplify (+ 0 0) into 0 12.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.192 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.192 * [taylor]: Taking taylor expansion of im in re 12.192 * [backup-simplify]: Simplify im into im 12.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.192 * [taylor]: Taking taylor expansion of re in re 12.192 * [backup-simplify]: Simplify 0 into 0 12.192 * [backup-simplify]: Simplify 1 into 1 12.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.192 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.192 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.193 * [backup-simplify]: Simplify (+ 0 0) into 0 12.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.193 * [taylor]: Taking taylor expansion of im in im 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [taylor]: Taking taylor expansion of 0 in im 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.194 * [backup-simplify]: Simplify (* 1 1) into 1 12.195 * [backup-simplify]: Simplify (+ 0 1) into 1 12.195 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.195 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.195 * [taylor]: Taking taylor expansion of 1/2 in im 12.195 * [backup-simplify]: Simplify 1/2 into 1/2 12.195 * [taylor]: Taking taylor expansion of im in im 12.195 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 1 into 1 12.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.197 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.199 * [backup-simplify]: Simplify (+ 0 0) into 0 12.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.199 * [taylor]: Taking taylor expansion of 0 in im 12.199 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.200 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.201 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.201 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.201 * [taylor]: Taking taylor expansion of re in im 12.201 * [backup-simplify]: Simplify re into re 12.201 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.201 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.201 * [taylor]: Taking taylor expansion of im in im 12.201 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify 1 into 1 12.201 * [backup-simplify]: Simplify (* 1 1) into 1 12.202 * [backup-simplify]: Simplify (/ 1 1) into 1 12.202 * [backup-simplify]: Simplify (+ 0 1) into 1 12.203 * [backup-simplify]: Simplify (sqrt 1) into 1 12.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.204 * [backup-simplify]: Simplify (+ 0 0) into 0 12.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.205 * [taylor]: Taking taylor expansion of re in re 12.205 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify 1 into 1 12.205 * [backup-simplify]: Simplify (* 1 1) into 1 12.206 * [backup-simplify]: Simplify (/ 1 1) into 1 12.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.206 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.206 * [taylor]: Taking taylor expansion of im in re 12.206 * [backup-simplify]: Simplify im into im 12.206 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.206 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.206 * [backup-simplify]: Simplify (+ 1 0) into 1 12.206 * [backup-simplify]: Simplify (sqrt 1) into 1 12.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.208 * [backup-simplify]: Simplify (+ 0 0) into 0 12.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.208 * [taylor]: Taking taylor expansion of re in re 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 1 into 1 12.208 * [backup-simplify]: Simplify (* 1 1) into 1 12.209 * [backup-simplify]: Simplify (/ 1 1) into 1 12.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.209 * [taylor]: Taking taylor expansion of im in re 12.209 * [backup-simplify]: Simplify im into im 12.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.209 * [backup-simplify]: Simplify (+ 1 0) into 1 12.209 * [backup-simplify]: Simplify (sqrt 1) into 1 12.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.210 * [backup-simplify]: Simplify (+ 0 0) into 0 12.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.211 * [taylor]: Taking taylor expansion of 1 in im 12.211 * [backup-simplify]: Simplify 1 into 1 12.211 * [taylor]: Taking taylor expansion of 0 in im 12.211 * [backup-simplify]: Simplify 0 into 0 12.211 * [backup-simplify]: Simplify 1 into 1 12.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.212 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.213 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.213 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.213 * [taylor]: Taking taylor expansion of 1/2 in im 12.213 * [backup-simplify]: Simplify 1/2 into 1/2 12.213 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.213 * [taylor]: Taking taylor expansion of im in im 12.213 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify 1 into 1 12.213 * [backup-simplify]: Simplify (* 1 1) into 1 12.214 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.216 * [backup-simplify]: Simplify (+ 0 0) into 0 12.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.217 * [taylor]: Taking taylor expansion of 0 in im 12.217 * [backup-simplify]: Simplify 0 into 0 12.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.218 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.218 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.218 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.218 * [taylor]: Taking taylor expansion of re in im 12.218 * [backup-simplify]: Simplify re into re 12.218 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.218 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.218 * [taylor]: Taking taylor expansion of im in im 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify 1 into 1 12.219 * [backup-simplify]: Simplify (* 1 1) into 1 12.219 * [backup-simplify]: Simplify (/ 1 1) into 1 12.219 * [backup-simplify]: Simplify (+ 0 1) into 1 12.219 * [backup-simplify]: Simplify (sqrt 1) into 1 12.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (+ 0 0) into 0 12.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.221 * [taylor]: Taking taylor expansion of re in re 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [backup-simplify]: Simplify (* 1 1) into 1 12.222 * [backup-simplify]: Simplify (/ 1 1) into 1 12.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.222 * [taylor]: Taking taylor expansion of im in re 12.222 * [backup-simplify]: Simplify im into im 12.222 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.222 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.222 * [backup-simplify]: Simplify (+ 1 0) into 1 12.222 * [backup-simplify]: Simplify (sqrt 1) into 1 12.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.223 * [backup-simplify]: Simplify (+ 0 0) into 0 12.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.224 * [taylor]: Taking taylor expansion of re in re 12.224 * [backup-simplify]: Simplify 0 into 0 12.224 * [backup-simplify]: Simplify 1 into 1 12.224 * [backup-simplify]: Simplify (* 1 1) into 1 12.224 * [backup-simplify]: Simplify (/ 1 1) into 1 12.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.224 * [taylor]: Taking taylor expansion of im in re 12.224 * [backup-simplify]: Simplify im into im 12.224 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.225 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.225 * [backup-simplify]: Simplify (+ 1 0) into 1 12.225 * [backup-simplify]: Simplify (sqrt 1) into 1 12.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.226 * [backup-simplify]: Simplify (+ 0 0) into 0 12.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.227 * [taylor]: Taking taylor expansion of 1 in im 12.227 * [backup-simplify]: Simplify 1 into 1 12.227 * [taylor]: Taking taylor expansion of 0 in im 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify 1 into 1 12.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.228 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.229 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.229 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.229 * [taylor]: Taking taylor expansion of 1/2 in im 12.229 * [backup-simplify]: Simplify 1/2 into 1/2 12.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.229 * [taylor]: Taking taylor expansion of im in im 12.229 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify 1 into 1 12.229 * [backup-simplify]: Simplify (* 1 1) into 1 12.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.232 * [backup-simplify]: Simplify (+ 0 0) into 0 12.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.232 * [taylor]: Taking taylor expansion of 0 in im 12.232 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.234 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 12.235 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 12.235 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 12.235 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 12.235 * [taylor]: Taking taylor expansion of re in im 12.235 * [backup-simplify]: Simplify re into re 12.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.235 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.235 * [taylor]: Taking taylor expansion of im in im 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 1 into 1 12.235 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.235 * [taylor]: Taking taylor expansion of re in im 12.235 * [backup-simplify]: Simplify re into re 12.236 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.236 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.236 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.236 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.236 * [backup-simplify]: Simplify (+ 0 0) into 0 12.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.236 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 12.236 * [taylor]: Taking taylor expansion of re in re 12.236 * [backup-simplify]: Simplify 0 into 0 12.236 * [backup-simplify]: Simplify 1 into 1 12.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.236 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.236 * [taylor]: Taking taylor expansion of im in re 12.237 * [backup-simplify]: Simplify im into im 12.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.237 * [taylor]: Taking taylor expansion of re in re 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify 1 into 1 12.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.237 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.237 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.237 * [backup-simplify]: Simplify (+ 0 0) into 0 12.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.237 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 12.238 * [taylor]: Taking taylor expansion of re in re 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 1 into 1 12.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.238 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.238 * [taylor]: Taking taylor expansion of im in re 12.238 * [backup-simplify]: Simplify im into im 12.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.238 * [taylor]: Taking taylor expansion of re in re 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 1 into 1 12.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.238 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.238 * [backup-simplify]: Simplify (+ 0 0) into 0 12.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.239 * [backup-simplify]: Simplify (+ 0 im) into im 12.239 * [taylor]: Taking taylor expansion of im in im 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify (+ 1 0) into 1 12.239 * [taylor]: Taking taylor expansion of 1 in im 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.240 * [backup-simplify]: Simplify (* 1 1) into 1 12.241 * [backup-simplify]: Simplify (+ 0 1) into 1 12.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.242 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 12.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 12.242 * [taylor]: Taking taylor expansion of 1/2 in im 12.242 * [backup-simplify]: Simplify 1/2 into 1/2 12.242 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.242 * [taylor]: Taking taylor expansion of im in im 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (/ 1 1) into 1 12.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 0 into 0 12.245 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.245 * [backup-simplify]: Simplify (+ 0 0) into 0 12.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.246 * [backup-simplify]: Simplify (+ 0 0) into 0 12.246 * [taylor]: Taking taylor expansion of 0 in im 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 12.247 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (exp (log (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))))) 12.247 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 12.248 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 12.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.248 * [taylor]: Taking taylor expansion of re in im 12.248 * [backup-simplify]: Simplify re into re 12.248 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.248 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.248 * [taylor]: Taking taylor expansion of re in im 12.248 * [backup-simplify]: Simplify re into re 12.248 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.248 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.248 * [taylor]: Taking taylor expansion of im in im 12.248 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify 1 into 1 12.248 * [backup-simplify]: Simplify (* 1 1) into 1 12.248 * [backup-simplify]: Simplify (/ 1 1) into 1 12.249 * [backup-simplify]: Simplify (+ 0 1) into 1 12.249 * [backup-simplify]: Simplify (sqrt 1) into 1 12.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.250 * [backup-simplify]: Simplify (+ 0 0) into 0 12.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.251 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.251 * [taylor]: Taking taylor expansion of re in re 12.251 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify 1 into 1 12.251 * [backup-simplify]: Simplify (/ 1 1) into 1 12.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.251 * [taylor]: Taking taylor expansion of re in re 12.251 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify 1 into 1 12.251 * [backup-simplify]: Simplify (* 1 1) into 1 12.252 * [backup-simplify]: Simplify (/ 1 1) into 1 12.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.252 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.252 * [taylor]: Taking taylor expansion of im in re 12.252 * [backup-simplify]: Simplify im into im 12.252 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.252 * [backup-simplify]: Simplify (+ 1 0) into 1 12.252 * [backup-simplify]: Simplify (sqrt 1) into 1 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.253 * [backup-simplify]: Simplify (+ 0 0) into 0 12.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.254 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.254 * [taylor]: Taking taylor expansion of re in re 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify 1 into 1 12.254 * [backup-simplify]: Simplify (/ 1 1) into 1 12.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.254 * [taylor]: Taking taylor expansion of re in re 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify 1 into 1 12.255 * [backup-simplify]: Simplify (* 1 1) into 1 12.255 * [backup-simplify]: Simplify (/ 1 1) into 1 12.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.255 * [taylor]: Taking taylor expansion of im in re 12.255 * [backup-simplify]: Simplify im into im 12.255 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.255 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.255 * [backup-simplify]: Simplify (+ 1 0) into 1 12.256 * [backup-simplify]: Simplify (sqrt 1) into 1 12.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (+ 0 0) into 0 12.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.257 * [backup-simplify]: Simplify (+ 1 1) into 2 12.257 * [taylor]: Taking taylor expansion of 2 in im 12.257 * [backup-simplify]: Simplify 2 into 2 12.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.258 * [backup-simplify]: Simplify (+ 0 0) into 0 12.258 * [taylor]: Taking taylor expansion of 0 in im 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 2 into 2 12.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.261 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.261 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 12.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.261 * [taylor]: Taking taylor expansion of 1/2 in im 12.261 * [backup-simplify]: Simplify 1/2 into 1/2 12.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.261 * [taylor]: Taking taylor expansion of im in im 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 1 into 1 12.261 * [backup-simplify]: Simplify (* 1 1) into 1 12.262 * [backup-simplify]: Simplify (/ 1 1) into 1 12.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.265 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.265 * [backup-simplify]: Simplify (+ 0 0) into 0 12.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.266 * [backup-simplify]: Simplify (+ 0 0) into 0 12.266 * [taylor]: Taking taylor expansion of 0 in im 12.266 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 12.268 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (exp (log (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)) 12.268 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 12.268 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 12.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.269 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.269 * [taylor]: Taking taylor expansion of re in im 12.269 * [backup-simplify]: Simplify re into re 12.269 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.269 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.269 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.269 * [taylor]: Taking taylor expansion of im in im 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 1 into 1 12.269 * [backup-simplify]: Simplify (* 1 1) into 1 12.269 * [backup-simplify]: Simplify (/ 1 1) into 1 12.270 * [backup-simplify]: Simplify (+ 0 1) into 1 12.270 * [backup-simplify]: Simplify (sqrt 1) into 1 12.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.271 * [backup-simplify]: Simplify (+ 0 0) into 0 12.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.271 * [taylor]: Taking taylor expansion of re in im 12.271 * [backup-simplify]: Simplify re into re 12.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.271 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.271 * [taylor]: Taking taylor expansion of re in re 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 1 into 1 12.272 * [backup-simplify]: Simplify (* 1 1) into 1 12.272 * [backup-simplify]: Simplify (/ 1 1) into 1 12.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.272 * [taylor]: Taking taylor expansion of im in re 12.272 * [backup-simplify]: Simplify im into im 12.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.272 * [backup-simplify]: Simplify (+ 1 0) into 1 12.273 * [backup-simplify]: Simplify (sqrt 1) into 1 12.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.274 * [backup-simplify]: Simplify (+ 0 0) into 0 12.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.274 * [taylor]: Taking taylor expansion of re in re 12.274 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify 1 into 1 12.275 * [backup-simplify]: Simplify (/ 1 1) into 1 12.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.275 * [taylor]: Taking taylor expansion of re in re 12.275 * [backup-simplify]: Simplify 0 into 0 12.275 * [backup-simplify]: Simplify 1 into 1 12.275 * [backup-simplify]: Simplify (* 1 1) into 1 12.275 * [backup-simplify]: Simplify (/ 1 1) into 1 12.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.275 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.275 * [taylor]: Taking taylor expansion of im in re 12.275 * [backup-simplify]: Simplify im into im 12.275 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.275 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.276 * [backup-simplify]: Simplify (+ 1 0) into 1 12.276 * [backup-simplify]: Simplify (sqrt 1) into 1 12.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.278 * [backup-simplify]: Simplify (+ 0 0) into 0 12.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.278 * [taylor]: Taking taylor expansion of re in re 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (/ 1 1) into 1 12.279 * [backup-simplify]: Simplify (- 1) into -1 12.280 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.280 * [taylor]: Taking taylor expansion of 0 in im 12.280 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (- 0) into 0 12.281 * [backup-simplify]: Simplify (+ 0 0) into 0 12.281 * [taylor]: Taking taylor expansion of 0 in im 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.285 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.286 * [backup-simplify]: Simplify (- 0) into 0 12.286 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.286 * [taylor]: Taking taylor expansion of 1/2 in im 12.286 * [backup-simplify]: Simplify 1/2 into 1/2 12.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.286 * [taylor]: Taking taylor expansion of im in im 12.286 * [backup-simplify]: Simplify 0 into 0 12.286 * [backup-simplify]: Simplify 1 into 1 12.287 * [backup-simplify]: Simplify (* 1 1) into 1 12.287 * [backup-simplify]: Simplify (/ 1 1) into 1 12.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 0 into 0 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.292 * [backup-simplify]: Simplify (+ 0 0) into 0 12.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.294 * [backup-simplify]: Simplify (- 0) into 0 12.294 * [backup-simplify]: Simplify (+ 0 0) into 0 12.294 * [taylor]: Taking taylor expansion of 0 in im 12.294 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * * * [progress]: simplifying candidates 12.302 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 12.303 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 12.303 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 12.303 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 12.303 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 12.303 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 12.303 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 12.303 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 12.303 * * [simplify]: iters left: 6 (8 enodes) 12.307 * * [simplify]: iters left: 5 (26 enodes) 12.312 * * [simplify]: Extracting #0: cost 1 inf + 0 12.312 * * [simplify]: Extracting #1: cost 4 inf + 0 12.312 * * [simplify]: Extracting #2: cost 7 inf + 0 12.312 * * [simplify]: Extracting #3: cost 10 inf + 0 12.312 * * [simplify]: Extracting #4: cost 14 inf + 0 12.312 * * [simplify]: Extracting #5: cost 10 inf + 84 12.313 * * [simplify]: Extracting #6: cost 8 inf + 166 12.313 * * [simplify]: Extracting #7: cost 4 inf + 854 12.313 * * [simplify]: Extracting #8: cost 1 inf + 1540 12.313 * * [simplify]: Extracting #9: cost 0 inf + 1782 12.314 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 12.314 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))))) re))))) 12.314 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 12.314 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 12.314 * * [simplify]: iters left: 6 (7 enodes) 12.316 * * [simplify]: iters left: 5 (22 enodes) 12.320 * * [simplify]: Extracting #0: cost 1 inf + 0 12.320 * * [simplify]: Extracting #1: cost 3 inf + 0 12.320 * * [simplify]: Extracting #2: cost 5 inf + 0 12.320 * * [simplify]: Extracting #3: cost 8 inf + 0 12.320 * * [simplify]: Extracting #4: cost 12 inf + 0 12.320 * * [simplify]: Extracting #5: cost 10 inf + 2 12.320 * * [simplify]: Extracting #6: cost 1 inf + 936 12.320 * * [simplify]: Extracting #7: cost 0 inf + 1138 12.321 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 12.321 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))))) re))))) 12.321 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 12.321 * [simplify]: Simplifying (sqrt 1) 12.321 * * [simplify]: iters left: 1 (2 enodes) 12.323 * * [simplify]: Extracting #0: cost 1 inf + 0 12.323 * * [simplify]: Extracting #1: cost 0 inf + 1 12.323 * [simplify]: Simplified to 1 12.323 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (* 1 (sqrt (+ (* re re) (* im im)))))))))) re))))) 12.324 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 12.324 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 12.324 * * [simplify]: iters left: 6 (9 enodes) 12.327 * * [simplify]: iters left: 5 (45 enodes) 12.340 * * [simplify]: iters left: 4 (100 enodes) 12.376 * * [simplify]: iters left: 3 (201 enodes) 12.458 * * [simplify]: iters left: 2 (406 enodes) 12.614 * * [simplify]: Extracting #0: cost 1 inf + 0 12.614 * * [simplify]: Extracting #1: cost 3 inf + 0 12.614 * * [simplify]: Extracting #2: cost 6 inf + 0 12.614 * * [simplify]: Extracting #3: cost 62 inf + 0 12.615 * * [simplify]: Extracting #4: cost 166 inf + 460 12.617 * * [simplify]: Extracting #5: cost 131 inf + 12951 12.620 * * [simplify]: Extracting #6: cost 49 inf + 45746 12.627 * * [simplify]: Extracting #7: cost 1 inf + 66256 12.641 * * [simplify]: Extracting #8: cost 0 inf + 65919 12.647 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 12.647 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))))) re))))) 12.647 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 12.647 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.647 * * [simplify]: iters left: 6 (8 enodes) 12.650 * * [simplify]: iters left: 5 (37 enodes) 12.658 * * [simplify]: iters left: 4 (67 enodes) 12.671 * * [simplify]: iters left: 3 (123 enodes) 12.724 * * [simplify]: iters left: 2 (278 enodes) 12.919 * * [simplify]: Extracting #0: cost 1 inf + 0 12.919 * * [simplify]: Extracting #1: cost 3 inf + 0 12.919 * * [simplify]: Extracting #2: cost 50 inf + 0 12.920 * * [simplify]: Extracting #3: cost 150 inf + 0 12.922 * * [simplify]: Extracting #4: cost 194 inf + 1180 12.927 * * [simplify]: Extracting #5: cost 123 inf + 12421 12.939 * * [simplify]: Extracting #6: cost 12 inf + 33804 12.956 * * [simplify]: Extracting #7: cost 0 inf + 36129 12.971 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.971 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))))) re))))) 12.972 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 12.972 * [simplify]: Simplifying (+ (* re re) (* im im)) 12.972 * * [simplify]: iters left: 4 (5 enodes) 12.975 * * [simplify]: iters left: 3 (16 enodes) 12.979 * * [simplify]: Extracting #0: cost 1 inf + 0 12.980 * * [simplify]: Extracting #1: cost 4 inf + 0 12.980 * * [simplify]: Extracting #2: cost 8 inf + 0 12.980 * * [simplify]: Extracting #3: cost 4 inf + 84 12.980 * * [simplify]: Extracting #4: cost 0 inf + 410 12.980 * [simplify]: Simplified to (+ (* re re) (* im im)) 12.980 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (pow (+ (* re re) (* im im)) (/ 1 2)))))))) re))))) 12.980 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 12.981 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 12.981 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 12.981 * * [simplify]: iters left: 5 (6 enodes) 12.984 * * [simplify]: iters left: 4 (19 enodes) 12.990 * * [simplify]: Extracting #0: cost 1 inf + 0 12.990 * * [simplify]: Extracting #1: cost 3 inf + 0 12.990 * * [simplify]: Extracting #2: cost 6 inf + 0 12.990 * * [simplify]: Extracting #3: cost 10 inf + 0 12.990 * * [simplify]: Extracting #4: cost 6 inf + 84 12.990 * * [simplify]: Extracting #5: cost 0 inf + 734 12.991 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 12.991 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (fabs (sqrt (+ (* re re) (* im im)))))))))) re))))) 12.991 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 12.991 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))))) re)))))> 12.991 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 12.991 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 12.991 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 12.991 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 12.991 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 12.991 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 12.992 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 12.992 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 12.992 * * [simplify]: iters left: 6 (8 enodes) 12.996 * * [simplify]: iters left: 5 (26 enodes) 13.004 * * [simplify]: Extracting #0: cost 1 inf + 0 13.004 * * [simplify]: Extracting #1: cost 4 inf + 0 13.004 * * [simplify]: Extracting #2: cost 7 inf + 0 13.004 * * [simplify]: Extracting #3: cost 10 inf + 0 13.004 * * [simplify]: Extracting #4: cost 14 inf + 0 13.004 * * [simplify]: Extracting #5: cost 10 inf + 84 13.005 * * [simplify]: Extracting #6: cost 8 inf + 166 13.005 * * [simplify]: Extracting #7: cost 4 inf + 854 13.005 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.006 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.006 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.007 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.007 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 13.007 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 13.007 * * [simplify]: iters left: 6 (7 enodes) 13.011 * * [simplify]: iters left: 5 (22 enodes) 13.017 * * [simplify]: Extracting #0: cost 1 inf + 0 13.018 * * [simplify]: Extracting #1: cost 3 inf + 0 13.018 * * [simplify]: Extracting #2: cost 5 inf + 0 13.018 * * [simplify]: Extracting #3: cost 8 inf + 0 13.018 * * [simplify]: Extracting #4: cost 12 inf + 0 13.018 * * [simplify]: Extracting #5: cost 10 inf + 2 13.018 * * [simplify]: Extracting #6: cost 1 inf + 936 13.019 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.019 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.019 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.019 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 13.020 * [simplify]: Simplifying (sqrt 1) 13.020 * * [simplify]: iters left: 1 (2 enodes) 13.023 * * [simplify]: Extracting #0: cost 1 inf + 0 13.023 * * [simplify]: Extracting #1: cost 0 inf + 1 13.023 * [simplify]: Simplified to 1 13.023 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.024 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 13.024 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 13.024 * * [simplify]: iters left: 6 (9 enodes) 13.035 * * [simplify]: iters left: 5 (45 enodes) 13.056 * * [simplify]: iters left: 4 (100 enodes) 13.106 * * [simplify]: iters left: 3 (201 enodes) 13.176 * * [simplify]: iters left: 2 (406 enodes) 13.337 * * [simplify]: Extracting #0: cost 1 inf + 0 13.337 * * [simplify]: Extracting #1: cost 3 inf + 0 13.337 * * [simplify]: Extracting #2: cost 6 inf + 0 13.337 * * [simplify]: Extracting #3: cost 62 inf + 0 13.338 * * [simplify]: Extracting #4: cost 166 inf + 460 13.341 * * [simplify]: Extracting #5: cost 131 inf + 12951 13.349 * * [simplify]: Extracting #6: cost 49 inf + 45746 13.360 * * [simplify]: Extracting #7: cost 1 inf + 66256 13.371 * * [simplify]: Extracting #8: cost 0 inf + 65919 13.381 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 13.382 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.382 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 13.382 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.383 * * [simplify]: iters left: 6 (8 enodes) 13.387 * * [simplify]: iters left: 5 (37 enodes) 13.407 * * [simplify]: iters left: 4 (67 enodes) 13.425 * * [simplify]: iters left: 3 (123 enodes) 13.463 * * [simplify]: iters left: 2 (278 enodes) 13.619 * * [simplify]: Extracting #0: cost 1 inf + 0 13.619 * * [simplify]: Extracting #1: cost 3 inf + 0 13.619 * * [simplify]: Extracting #2: cost 50 inf + 0 13.619 * * [simplify]: Extracting #3: cost 150 inf + 0 13.620 * * [simplify]: Extracting #4: cost 194 inf + 1180 13.623 * * [simplify]: Extracting #5: cost 123 inf + 12421 13.629 * * [simplify]: Extracting #6: cost 12 inf + 33804 13.637 * * [simplify]: Extracting #7: cost 0 inf + 36129 13.645 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.645 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.645 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 13.645 * [simplify]: Simplifying (+ (* re re) (* im im)) 13.645 * * [simplify]: iters left: 4 (5 enodes) 13.647 * * [simplify]: iters left: 3 (16 enodes) 13.650 * * [simplify]: Extracting #0: cost 1 inf + 0 13.650 * * [simplify]: Extracting #1: cost 4 inf + 0 13.650 * * [simplify]: Extracting #2: cost 8 inf + 0 13.650 * * [simplify]: Extracting #3: cost 4 inf + 84 13.650 * * [simplify]: Extracting #4: cost 0 inf + 410 13.650 * [simplify]: Simplified to (+ (* re re) (* im im)) 13.650 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.651 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 13.651 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 13.651 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 13.651 * * [simplify]: iters left: 5 (6 enodes) 13.654 * * [simplify]: iters left: 4 (19 enodes) 13.660 * * [simplify]: Extracting #0: cost 1 inf + 0 13.660 * * [simplify]: Extracting #1: cost 3 inf + 0 13.660 * * [simplify]: Extracting #2: cost 6 inf + 0 13.660 * * [simplify]: Extracting #3: cost 10 inf + 0 13.660 * * [simplify]: Extracting #4: cost 6 inf + 84 13.660 * * [simplify]: Extracting #5: cost 0 inf + 734 13.660 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.661 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.661 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 13.661 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re)))))> 13.661 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 13.661 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 13.661 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 13.661 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 13.661 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 13.661 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 13.661 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 13.662 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 13.662 * * [simplify]: iters left: 6 (8 enodes) 13.666 * * [simplify]: iters left: 5 (26 enodes) 13.673 * * [simplify]: Extracting #0: cost 1 inf + 0 13.673 * * [simplify]: Extracting #1: cost 4 inf + 0 13.673 * * [simplify]: Extracting #2: cost 7 inf + 0 13.673 * * [simplify]: Extracting #3: cost 10 inf + 0 13.673 * * [simplify]: Extracting #4: cost 14 inf + 0 13.674 * * [simplify]: Extracting #5: cost 10 inf + 84 13.674 * * [simplify]: Extracting #6: cost 8 inf + 166 13.674 * * [simplify]: Extracting #7: cost 4 inf + 854 13.674 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.675 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.676 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.676 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.676 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 13.676 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 13.676 * * [simplify]: iters left: 6 (7 enodes) 13.680 * * [simplify]: iters left: 5 (22 enodes) 13.686 * * [simplify]: Extracting #0: cost 1 inf + 0 13.686 * * [simplify]: Extracting #1: cost 3 inf + 0 13.687 * * [simplify]: Extracting #2: cost 5 inf + 0 13.687 * * [simplify]: Extracting #3: cost 8 inf + 0 13.687 * * [simplify]: Extracting #4: cost 12 inf + 0 13.687 * * [simplify]: Extracting #5: cost 10 inf + 2 13.687 * * [simplify]: Extracting #6: cost 1 inf + 936 13.687 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.688 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.688 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.688 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 13.689 * [simplify]: Simplifying (sqrt 1) 13.689 * * [simplify]: iters left: 1 (2 enodes) 13.692 * * [simplify]: Extracting #0: cost 1 inf + 0 13.692 * * [simplify]: Extracting #1: cost 0 inf + 1 13.692 * [simplify]: Simplified to 1 13.692 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 13.693 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 13.693 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 13.693 * * [simplify]: iters left: 6 (9 enodes) 13.699 * * [simplify]: iters left: 5 (45 enodes) 13.720 * * [simplify]: iters left: 4 (100 enodes) 13.757 * * [simplify]: iters left: 3 (201 enodes) 13.821 * * [simplify]: iters left: 2 (406 enodes) 13.981 * * [simplify]: Extracting #0: cost 1 inf + 0 13.981 * * [simplify]: Extracting #1: cost 3 inf + 0 13.981 * * [simplify]: Extracting #2: cost 6 inf + 0 13.982 * * [simplify]: Extracting #3: cost 62 inf + 0 13.982 * * [simplify]: Extracting #4: cost 166 inf + 460 13.984 * * [simplify]: Extracting #5: cost 131 inf + 12951 13.988 * * [simplify]: Extracting #6: cost 49 inf + 45746 13.994 * * [simplify]: Extracting #7: cost 1 inf + 66256 14.000 * * [simplify]: Extracting #8: cost 0 inf + 65919 14.010 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 14.010 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.011 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 14.011 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.011 * * [simplify]: iters left: 6 (8 enodes) 14.016 * * [simplify]: iters left: 5 (37 enodes) 14.030 * * [simplify]: iters left: 4 (67 enodes) 14.059 * * [simplify]: iters left: 3 (123 enodes) 14.096 * * [simplify]: iters left: 2 (278 enodes) 14.233 * * [simplify]: Extracting #0: cost 1 inf + 0 14.233 * * [simplify]: Extracting #1: cost 3 inf + 0 14.233 * * [simplify]: Extracting #2: cost 50 inf + 0 14.234 * * [simplify]: Extracting #3: cost 150 inf + 0 14.235 * * [simplify]: Extracting #4: cost 194 inf + 1180 14.237 * * [simplify]: Extracting #5: cost 123 inf + 12421 14.248 * * [simplify]: Extracting #6: cost 12 inf + 33804 14.255 * * [simplify]: Extracting #7: cost 0 inf + 36129 14.263 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.263 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.264 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 14.264 * [simplify]: Simplifying (+ (* re re) (* im im)) 14.264 * * [simplify]: iters left: 4 (5 enodes) 14.265 * * [simplify]: iters left: 3 (16 enodes) 14.268 * * [simplify]: Extracting #0: cost 1 inf + 0 14.268 * * [simplify]: Extracting #1: cost 4 inf + 0 14.268 * * [simplify]: Extracting #2: cost 8 inf + 0 14.268 * * [simplify]: Extracting #3: cost 4 inf + 84 14.268 * * [simplify]: Extracting #4: cost 0 inf + 410 14.268 * [simplify]: Simplified to (+ (* re re) (* im im)) 14.268 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.268 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 14.268 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 14.269 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 14.269 * * [simplify]: iters left: 5 (6 enodes) 14.270 * * [simplify]: iters left: 4 (19 enodes) 14.274 * * [simplify]: Extracting #0: cost 1 inf + 0 14.274 * * [simplify]: Extracting #1: cost 3 inf + 0 14.274 * * [simplify]: Extracting #2: cost 6 inf + 0 14.274 * * [simplify]: Extracting #3: cost 10 inf + 0 14.274 * * [simplify]: Extracting #4: cost 6 inf + 84 14.275 * * [simplify]: Extracting #5: cost 0 inf + 734 14.275 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.275 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.275 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 14.275 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re)))))> 14.275 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 14.276 * [simplify]: Simplifying (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))))) (exp re)) 14.276 * * [simplify]: iters left: 6 (17 enodes) 14.284 * * [simplify]: iters left: 5 (55 enodes) 14.301 * * [simplify]: iters left: 4 (76 enodes) 14.326 * * [simplify]: iters left: 3 (107 enodes) 14.360 * * [simplify]: iters left: 2 (171 enodes) 14.408 * * [simplify]: iters left: 1 (322 enodes) 14.516 * * [simplify]: Extracting #0: cost 1 inf + 0 14.517 * * [simplify]: Extracting #1: cost 43 inf + 0 14.517 * * [simplify]: Extracting #2: cost 129 inf + 0 14.519 * * [simplify]: Extracting #3: cost 189 inf + 3 14.520 * * [simplify]: Extracting #4: cost 219 inf + 150 14.522 * * [simplify]: Extracting #5: cost 221 inf + 546 14.524 * * [simplify]: Extracting #6: cost 209 inf + 2015 14.528 * * [simplify]: Extracting #7: cost 194 inf + 6446 14.537 * * [simplify]: Extracting #8: cost 134 inf + 31738 14.561 * * [simplify]: Extracting #9: cost 46 inf + 94765 14.586 * * [simplify]: Extracting #10: cost 1 inf + 137381 14.623 * * [simplify]: Extracting #11: cost 0 inf + 137545 14.658 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 14.658 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 14.658 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 14.658 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 14.658 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 14.658 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 14.658 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 14.658 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 14.658 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 14.659 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 14.659 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 14.659 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re)))))))> 14.659 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 14.659 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 14.659 * [simplify]: Simplifying im 14.659 * * [simplify]: iters left: 0 (1 enodes) 14.660 * * [simplify]: Extracting #0: cost 1 inf + 0 14.660 * * [simplify]: Extracting #1: cost 0 inf + 1 14.660 * [simplify]: Simplified to im 14.660 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log im)))))) re))))) 14.660 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 14.660 * [simplify]: Simplifying re 14.660 * * [simplify]: iters left: 0 (1 enodes) 14.661 * * [simplify]: Extracting #0: cost 1 inf + 0 14.661 * * [simplify]: Extracting #1: cost 0 inf + 1 14.661 * [simplify]: Simplified to re 14.661 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log re)))))) re))))) 14.661 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 14.662 * [simplify]: Simplifying (* -1 re) 14.662 * * [simplify]: iters left: 2 (3 enodes) 14.664 * * [simplify]: iters left: 1 (11 enodes) 14.667 * * [simplify]: Extracting #0: cost 1 inf + 0 14.667 * * [simplify]: Extracting #1: cost 4 inf + 0 14.667 * * [simplify]: Extracting #2: cost 0 inf + 84 14.668 * [simplify]: Simplified to (- re) 14.668 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (- re))))))) re))))) 14.668 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 14.668 * [simplify]: Simplifying im 14.669 * * [simplify]: iters left: 0 (1 enodes) 14.669 * * [simplify]: Extracting #0: cost 1 inf + 0 14.669 * * [simplify]: Extracting #1: cost 0 inf + 1 14.669 * [simplify]: Simplified to im 14.669 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.669 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 14.670 * [simplify]: Simplifying re 14.670 * * [simplify]: iters left: 0 (1 enodes) 14.670 * * [simplify]: Extracting #0: cost 1 inf + 0 14.670 * * [simplify]: Extracting #1: cost 0 inf + 1 14.670 * [simplify]: Simplified to re 14.670 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.671 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 14.671 * [simplify]: Simplifying (* -1 re) 14.671 * * [simplify]: iters left: 2 (3 enodes) 14.673 * * [simplify]: iters left: 1 (11 enodes) 14.675 * * [simplify]: Extracting #0: cost 1 inf + 0 14.675 * * [simplify]: Extracting #1: cost 4 inf + 0 14.675 * * [simplify]: Extracting #2: cost 0 inf + 84 14.675 * [simplify]: Simplified to (- re) 14.675 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.675 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 14.675 * [simplify]: Simplifying im 14.675 * * [simplify]: iters left: 0 (1 enodes) 14.676 * * [simplify]: Extracting #0: cost 1 inf + 0 14.676 * * [simplify]: Extracting #1: cost 0 inf + 1 14.676 * [simplify]: Simplified to im 14.676 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.676 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 14.676 * [simplify]: Simplifying re 14.676 * * [simplify]: iters left: 0 (1 enodes) 14.676 * * [simplify]: Extracting #0: cost 1 inf + 0 14.676 * * [simplify]: Extracting #1: cost 0 inf + 1 14.676 * [simplify]: Simplified to re 14.676 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.677 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 14.677 * [simplify]: Simplifying (* -1 re) 14.677 * * [simplify]: iters left: 2 (3 enodes) 14.678 * * [simplify]: iters left: 1 (11 enodes) 14.680 * * [simplify]: Extracting #0: cost 1 inf + 0 14.680 * * [simplify]: Extracting #1: cost 4 inf + 0 14.680 * * [simplify]: Extracting #2: cost 0 inf + 84 14.680 * [simplify]: Simplified to (- re) 14.680 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (- re)) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re))))) 14.680 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 14.681 * [simplify]: Simplifying (+ re im) 14.681 * * [simplify]: iters left: 2 (3 enodes) 14.682 * * [simplify]: iters left: 1 (10 enodes) 14.683 * * [simplify]: Extracting #0: cost 1 inf + 0 14.683 * * [simplify]: Extracting #1: cost 4 inf + 0 14.683 * * [simplify]: Extracting #2: cost 2 inf + 2 14.683 * * [simplify]: Extracting #3: cost 0 inf + 86 14.683 * [simplify]: Simplified to (+ im re) 14.683 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 14.683 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 14.683 * [simplify]: Simplifying (* 2 re) 14.683 * * [simplify]: iters left: 2 (3 enodes) 14.685 * * [simplify]: iters left: 1 (10 enodes) 14.687 * * [simplify]: Extracting #0: cost 1 inf + 0 14.687 * * [simplify]: Extracting #1: cost 4 inf + 0 14.687 * * [simplify]: Extracting #2: cost 2 inf + 2 14.687 * * [simplify]: Extracting #3: cost 0 inf + 86 14.687 * [simplify]: Simplified to (* 2 re) 14.687 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 14.687 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 14.687 * [simplify]: Simplifying 0 14.687 * * [simplify]: iters left: 0 (1 enodes) 14.688 * * [simplify]: Extracting #0: cost 1 inf + 0 14.688 * * [simplify]: Extracting #1: cost 0 inf + 1 14.688 * [simplify]: Simplified to 0 14.688 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 14.688 * * * [progress]: adding candidates to table 16.211 * [progress]: [Phase 3 of 3] Extracting. 16.211 * * [regime]: Finding splitpoints for: (# # # # # # # #) 16.214 * * * [regime-changes]: Trying 7 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 16.214 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 16.322 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 16.389 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 16.475 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 16.565 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 16.687 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # #) 16.784 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # #) 16.913 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # #) 17.034 * * * [regime]: Found split indices: #