0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.172 * * * [progress]: [2/2] Setting up program. 0.176 * [progress]: [Phase 2 of 3] Improving. 0.177 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.178 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.179 * * [simplify]: iters left: 6 (12 enodes) 0.186 * * [simplify]: iters left: 5 (41 enodes) 0.193 * * [simplify]: iters left: 4 (50 enodes) 0.204 * * [simplify]: iters left: 3 (64 enodes) 0.243 * * [simplify]: iters left: 2 (73 enodes) 0.254 * * [simplify]: iters left: 1 (75 enodes) 0.265 * * [simplify]: Extracting #0: cost 1 inf + 0 0.265 * * [simplify]: Extracting #1: cost 4 inf + 0 0.266 * * [simplify]: Extracting #2: cost 5 inf + 1 0.266 * * [simplify]: Extracting #3: cost 11 inf + 1 0.266 * * [simplify]: Extracting #4: cost 18 inf + 2 0.266 * * [simplify]: Extracting #5: cost 17 inf + 209 0.266 * * [simplify]: Extracting #6: cost 16 inf + 415 0.266 * * [simplify]: Extracting #7: cost 18 inf + 456 0.267 * * [simplify]: Extracting #8: cost 15 inf + 539 0.267 * * [simplify]: Extracting #9: cost 7 inf + 1795 0.269 * * [simplify]: Extracting #10: cost 0 inf + 3658 0.270 * [simplify]: Simplified to (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.270 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.279 * * [progress]: iteration 1 / 4 0.279 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.284 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.317 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.369 * * * [progress]: generating series expansions 0.369 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.374 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.374 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.375 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.375 * [taylor]: Taking taylor expansion of re in im 0.375 * [backup-simplify]: Simplify re into re 0.376 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.376 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.376 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.376 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.377 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.377 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.377 * [taylor]: Taking taylor expansion of im in re 0.377 * [backup-simplify]: Simplify im into im 0.377 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.377 * [taylor]: Taking taylor expansion of re in re 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.378 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.378 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.378 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.378 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.379 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 0 into 0 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.383 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.383 * [taylor]: Taking taylor expansion of 1/2 in im 0.383 * [backup-simplify]: Simplify 1/2 into 1/2 0.383 * [taylor]: Taking taylor expansion of im in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.389 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.389 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.389 * [taylor]: Taking taylor expansion of re in im 0.389 * [backup-simplify]: Simplify re into re 0.390 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.390 * [taylor]: Taking taylor expansion of im in im 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [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)) 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (sqrt 1) into 1 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [backup-simplify]: Simplify im into im 0.396 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.397 * [backup-simplify]: Simplify (+ 1 0) into 1 0.397 * [backup-simplify]: Simplify (sqrt 1) into 1 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.399 * [taylor]: Taking taylor expansion of 1 in im 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of 0 in im 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.401 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.401 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.401 * [taylor]: Taking taylor expansion of 1/2 in im 0.401 * [backup-simplify]: Simplify 1/2 into 1/2 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.401 * [taylor]: Taking taylor expansion of im in im 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (* 1 1) into 1 0.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.404 * [taylor]: Taking taylor expansion of 0 in im 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.406 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.406 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.406 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.406 * [taylor]: Taking taylor expansion of re in im 0.406 * [backup-simplify]: Simplify re into re 0.406 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.406 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 1) into 1 0.407 * [backup-simplify]: Simplify (+ 0 1) into 1 0.407 * [backup-simplify]: Simplify (sqrt 1) into 1 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.409 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.409 * [taylor]: Taking taylor expansion of re in re 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.409 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.409 * [taylor]: Taking taylor expansion of im in re 0.409 * [backup-simplify]: Simplify im into im 0.409 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.412 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [backup-simplify]: Simplify im into im 0.412 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (sqrt 1) into 1 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.414 * [taylor]: Taking taylor expansion of 1 in im 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.416 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.416 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.416 * [taylor]: Taking taylor expansion of 1/2 in im 0.416 * [backup-simplify]: Simplify 1/2 into 1/2 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 0.423 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.423 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.423 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.423 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.423 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.424 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.424 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.424 * [taylor]: Taking taylor expansion of im in im 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.424 * [taylor]: Taking taylor expansion of re in im 0.424 * [backup-simplify]: Simplify re into re 0.424 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.424 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.424 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.424 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.425 * [taylor]: Taking taylor expansion of re in im 0.425 * [backup-simplify]: Simplify re into re 0.425 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.425 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.425 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.425 * [taylor]: Taking taylor expansion of im in re 0.425 * [backup-simplify]: Simplify im into im 0.425 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.425 * [taylor]: Taking taylor expansion of re in re 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.425 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.425 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.426 * [taylor]: Taking taylor expansion of re in re 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.426 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.426 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.426 * [taylor]: Taking taylor expansion of im in re 0.426 * [backup-simplify]: Simplify im into im 0.426 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.426 * [taylor]: Taking taylor expansion of re in re 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.426 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.426 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.426 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.427 * [taylor]: Taking taylor expansion of re in re 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ im 0) into im 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- 1) into -1 0.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.428 * [taylor]: Taking taylor expansion of -1 in im 0.428 * [backup-simplify]: Simplify -1 into -1 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ 0 1) into 1 0.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.431 * [taylor]: Taking taylor expansion of 1/2 in im 0.431 * [backup-simplify]: Simplify 1/2 into 1/2 0.431 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in im 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.439 * [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)) 0.439 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.439 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [backup-simplify]: Simplify re into re 0.439 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.439 * [taylor]: Taking taylor expansion of im in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.441 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.452 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.452 * [taylor]: Taking taylor expansion of re in im 0.452 * [backup-simplify]: Simplify re into re 0.452 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.452 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.452 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.452 * [taylor]: Taking taylor expansion of re in re 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.454 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.454 * [taylor]: Taking taylor expansion of im in re 0.454 * [backup-simplify]: Simplify im into im 0.454 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.454 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (sqrt 1) into 1 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.458 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.459 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.459 * [taylor]: Taking taylor expansion of im in re 0.459 * [backup-simplify]: Simplify im into im 0.459 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.459 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (sqrt 1) into 1 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (- 1) into -1 0.465 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.465 * [taylor]: Taking taylor expansion of 0 in im 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.471 * [taylor]: Taking taylor expansion of 1/2 in im 0.471 * [backup-simplify]: Simplify 1/2 into 1/2 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.471 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [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))))) 0.483 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.483 * [taylor]: Taking taylor expansion of re in im 0.483 * [backup-simplify]: Simplify re into re 0.483 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.484 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.484 * [taylor]: Taking taylor expansion of re in im 0.484 * [backup-simplify]: Simplify re into re 0.484 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.484 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.484 * [taylor]: Taking taylor expansion of im in im 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (+ 0 1) into 1 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.486 * [taylor]: Taking taylor expansion of re in re 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.487 * [taylor]: Taking taylor expansion of im in re 0.487 * [backup-simplify]: Simplify im into im 0.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (sqrt 1) into 1 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.491 * [backup-simplify]: Simplify im into im 0.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.491 * [backup-simplify]: Simplify (sqrt 1) into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.493 * [backup-simplify]: Simplify (+ 1 1) into 2 0.493 * [taylor]: Taking taylor expansion of 2 in im 0.493 * [backup-simplify]: Simplify 2 into 2 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [taylor]: Taking taylor expansion of 0 in im 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 2 into 2 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.496 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.496 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.496 * [taylor]: Taking taylor expansion of 1/2 in im 0.496 * [backup-simplify]: Simplify 1/2 into 1/2 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.503 * * * [progress]: simplifying candidates 0.503 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 0.503 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 0.503 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 0.503 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 0.503 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 0.503 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 0.503 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 0.504 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.504 * * [simplify]: iters left: 6 (8 enodes) 0.506 * * [simplify]: iters left: 5 (26 enodes) 0.509 * * [simplify]: Extracting #0: cost 1 inf + 0 0.509 * * [simplify]: Extracting #1: cost 4 inf + 0 0.509 * * [simplify]: Extracting #2: cost 7 inf + 0 0.510 * * [simplify]: Extracting #3: cost 10 inf + 0 0.510 * * [simplify]: Extracting #4: cost 14 inf + 0 0.510 * * [simplify]: Extracting #5: cost 10 inf + 84 0.510 * * [simplify]: Extracting #6: cost 8 inf + 166 0.510 * * [simplify]: Extracting #7: cost 4 inf + 854 0.510 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.510 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.511 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.511 * [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))))) 0.511 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 0.511 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.511 * * [simplify]: iters left: 6 (7 enodes) 0.514 * * [simplify]: iters left: 5 (22 enodes) 0.521 * * [simplify]: Extracting #0: cost 1 inf + 0 0.521 * * [simplify]: Extracting #1: cost 3 inf + 0 0.521 * * [simplify]: Extracting #2: cost 5 inf + 0 0.521 * * [simplify]: Extracting #3: cost 8 inf + 0 0.521 * * [simplify]: Extracting #4: cost 12 inf + 0 0.521 * * [simplify]: Extracting #5: cost 10 inf + 2 0.522 * * [simplify]: Extracting #6: cost 1 inf + 936 0.522 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.523 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.523 * [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))))) 0.523 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 0.523 * [simplify]: Simplifying (sqrt 1) 0.523 * * [simplify]: iters left: 1 (2 enodes) 0.527 * * [simplify]: Extracting #0: cost 1 inf + 0 0.527 * * [simplify]: Extracting #1: cost 0 inf + 1 0.527 * [simplify]: Simplified to 1 0.527 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.527 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 0.527 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.528 * * [simplify]: iters left: 6 (9 enodes) 0.534 * * [simplify]: iters left: 5 (45 enodes) 0.555 * * [simplify]: iters left: 4 (100 enodes) 0.587 * * [simplify]: iters left: 3 (201 enodes) 0.662 * * [simplify]: iters left: 2 (406 enodes) 0.835 * * [simplify]: Extracting #0: cost 1 inf + 0 0.835 * * [simplify]: Extracting #1: cost 3 inf + 0 0.835 * * [simplify]: Extracting #2: cost 6 inf + 0 0.835 * * [simplify]: Extracting #3: cost 62 inf + 0 0.836 * * [simplify]: Extracting #4: cost 166 inf + 460 0.839 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.846 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.852 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.858 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.863 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.863 * [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))))) 0.864 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 0.864 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.864 * * [simplify]: iters left: 6 (8 enodes) 0.867 * * [simplify]: iters left: 5 (37 enodes) 0.874 * * [simplify]: iters left: 4 (67 enodes) 0.887 * * [simplify]: iters left: 3 (123 enodes) 0.918 * * [simplify]: iters left: 2 (278 enodes) 1.039 * * [simplify]: Extracting #0: cost 1 inf + 0 1.039 * * [simplify]: Extracting #1: cost 3 inf + 0 1.039 * * [simplify]: Extracting #2: cost 50 inf + 0 1.040 * * [simplify]: Extracting #3: cost 150 inf + 0 1.042 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.047 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.060 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.075 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.095 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.095 * [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))))) 1.095 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 1.095 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.096 * * [simplify]: iters left: 4 (5 enodes) 1.098 * * [simplify]: iters left: 3 (16 enodes) 1.102 * * [simplify]: Extracting #0: cost 1 inf + 0 1.102 * * [simplify]: Extracting #1: cost 4 inf + 0 1.103 * * [simplify]: Extracting #2: cost 8 inf + 0 1.103 * * [simplify]: Extracting #3: cost 4 inf + 84 1.103 * * [simplify]: Extracting #4: cost 0 inf + 410 1.103 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.103 * [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))))) 1.103 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 1.103 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 1.103 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.104 * * [simplify]: iters left: 5 (6 enodes) 1.105 * * [simplify]: iters left: 4 (19 enodes) 1.108 * * [simplify]: Extracting #0: cost 1 inf + 0 1.108 * * [simplify]: Extracting #1: cost 3 inf + 0 1.108 * * [simplify]: Extracting #2: cost 6 inf + 0 1.108 * * [simplify]: Extracting #3: cost 10 inf + 0 1.108 * * [simplify]: Extracting #4: cost 6 inf + 84 1.108 * * [simplify]: Extracting #5: cost 0 inf + 734 1.108 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.108 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.108 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 1.108 * * * * [progress]: [ 16 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.108 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 1.108 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.109 * * [simplify]: iters left: 6 (9 enodes) 1.111 * * [simplify]: iters left: 5 (30 enodes) 1.116 * * [simplify]: iters left: 4 (34 enodes) 1.120 * * [simplify]: iters left: 3 (39 enodes) 1.126 * * [simplify]: iters left: 2 (44 enodes) 1.134 * * [simplify]: iters left: 1 (52 enodes) 1.142 * * [simplify]: Extracting #0: cost 1 inf + 0 1.142 * * [simplify]: Extracting #1: cost 9 inf + 0 1.143 * * [simplify]: Extracting #2: cost 15 inf + 1 1.143 * * [simplify]: Extracting #3: cost 17 inf + 2 1.143 * * [simplify]: Extracting #4: cost 18 inf + 114 1.143 * * [simplify]: Extracting #5: cost 15 inf + 601 1.143 * * [simplify]: Extracting #6: cost 7 inf + 1413 1.144 * * [simplify]: Extracting #7: cost 0 inf + 3047 1.144 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 1.144 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 1.144 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 1.144 * * * * [progress]: [ 19 / 38 ] simplifiying candidate # 1.144 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 1.144 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 1.145 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 1.145 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 1.145 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 1.145 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 1.145 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 1.145 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 1.145 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 1.145 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.145 * * [simplify]: iters left: 6 (9 enodes) 1.147 * * [simplify]: iters left: 5 (29 enodes) 1.151 * * [simplify]: Extracting #0: cost 1 inf + 0 1.151 * * [simplify]: Extracting #1: cost 4 inf + 0 1.151 * * [simplify]: Extracting #2: cost 8 inf + 0 1.151 * * [simplify]: Extracting #3: cost 9 inf + 1 1.152 * * [simplify]: Extracting #4: cost 11 inf + 42 1.152 * * [simplify]: Extracting #5: cost 12 inf + 124 1.152 * * [simplify]: Extracting #6: cost 8 inf + 248 1.152 * * [simplify]: Extracting #7: cost 5 inf + 654 1.152 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.152 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.153 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.153 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.153 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.153 * * [simplify]: iters left: 6 (9 enodes) 1.155 * * [simplify]: iters left: 5 (30 enodes) 1.160 * * [simplify]: iters left: 4 (33 enodes) 1.169 * * [simplify]: Extracting #0: cost 1 inf + 0 1.169 * * [simplify]: Extracting #1: cost 5 inf + 0 1.169 * * [simplify]: Extracting #2: cost 10 inf + 0 1.170 * * [simplify]: Extracting #3: cost 11 inf + 1 1.170 * * [simplify]: Extracting #4: cost 10 inf + 245 1.170 * * [simplify]: Extracting #5: cost 12 inf + 286 1.170 * * [simplify]: Extracting #6: cost 8 inf + 410 1.170 * * [simplify]: Extracting #7: cost 6 inf + 694 1.171 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.172 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.172 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.172 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.173 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 1.173 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.173 * * [simplify]: iters left: 6 (9 enodes) 1.177 * * [simplify]: iters left: 5 (29 enodes) 1.185 * * [simplify]: Extracting #0: cost 1 inf + 0 1.185 * * [simplify]: Extracting #1: cost 4 inf + 0 1.185 * * [simplify]: Extracting #2: cost 8 inf + 0 1.185 * * [simplify]: Extracting #3: cost 9 inf + 1 1.185 * * [simplify]: Extracting #4: cost 11 inf + 42 1.185 * * [simplify]: Extracting #5: cost 12 inf + 124 1.185 * * [simplify]: Extracting #6: cost 8 inf + 248 1.185 * * [simplify]: Extracting #7: cost 5 inf + 654 1.186 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.186 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.187 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.187 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.188 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.188 * * [simplify]: iters left: 6 (9 enodes) 1.190 * * [simplify]: iters left: 5 (30 enodes) 1.196 * * [simplify]: iters left: 4 (33 enodes) 1.201 * * [simplify]: Extracting #0: cost 1 inf + 0 1.201 * * [simplify]: Extracting #1: cost 5 inf + 0 1.201 * * [simplify]: Extracting #2: cost 10 inf + 0 1.201 * * [simplify]: Extracting #3: cost 11 inf + 1 1.201 * * [simplify]: Extracting #4: cost 10 inf + 245 1.201 * * [simplify]: Extracting #5: cost 12 inf + 286 1.202 * * [simplify]: Extracting #6: cost 8 inf + 410 1.202 * * [simplify]: Extracting #7: cost 6 inf + 694 1.202 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.203 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.203 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.203 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.203 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 1.204 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 1.204 * * [simplify]: iters left: 6 (7 enodes) 1.206 * * [simplify]: iters left: 5 (24 enodes) 1.210 * * [simplify]: iters left: 4 (27 enodes) 1.214 * * [simplify]: Extracting #0: cost 1 inf + 0 1.214 * * [simplify]: Extracting #1: cost 5 inf + 0 1.214 * * [simplify]: Extracting #2: cost 7 inf + 1 1.214 * * [simplify]: Extracting #3: cost 8 inf + 83 1.214 * * [simplify]: Extracting #4: cost 10 inf + 124 1.214 * * [simplify]: Extracting #5: cost 6 inf + 248 1.214 * * [simplify]: Extracting #6: cost 3 inf + 654 1.215 * * [simplify]: Extracting #7: cost 1 inf + 1018 1.215 * * [simplify]: Extracting #8: cost 0 inf + 1220 1.215 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 1.215 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 1.215 * * * * [progress]: [ 31 / 38 ] simplifiying candidate # 1.216 * * * * [progress]: [ 32 / 38 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.216 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 1.216 * [simplify]: Simplifying im 1.216 * * [simplify]: iters left: 0 (1 enodes) 1.216 * * [simplify]: Extracting #0: cost 1 inf + 0 1.216 * * [simplify]: Extracting #1: cost 0 inf + 1 1.216 * [simplify]: Simplified to im 1.216 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 1.216 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 1.217 * [simplify]: Simplifying re 1.217 * * [simplify]: iters left: 0 (1 enodes) 1.217 * * [simplify]: Extracting #0: cost 1 inf + 0 1.217 * * [simplify]: Extracting #1: cost 0 inf + 1 1.217 * [simplify]: Simplified to re 1.217 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re))))) 1.217 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 1.217 * [simplify]: Simplifying (* -1 re) 1.217 * * [simplify]: iters left: 2 (3 enodes) 1.219 * * [simplify]: iters left: 1 (11 enodes) 1.221 * * [simplify]: Extracting #0: cost 1 inf + 0 1.221 * * [simplify]: Extracting #1: cost 4 inf + 0 1.221 * * [simplify]: Extracting #2: cost 0 inf + 84 1.221 * [simplify]: Simplified to (- re) 1.221 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re))))) 1.221 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 1.221 * [simplify]: Simplifying (- im re) 1.221 * * [simplify]: iters left: 2 (3 enodes) 1.222 * * [simplify]: iters left: 1 (11 enodes) 1.224 * * [simplify]: Extracting #0: cost 1 inf + 0 1.224 * * [simplify]: Extracting #1: cost 5 inf + 0 1.224 * * [simplify]: Extracting #2: cost 3 inf + 43 1.224 * * [simplify]: Extracting #3: cost 0 inf + 168 1.224 * [simplify]: Simplified to (- im re) 1.224 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 1.224 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 1.224 * [simplify]: Simplifying 0 1.224 * * [simplify]: iters left: 0 (1 enodes) 1.225 * * [simplify]: Extracting #0: cost 1 inf + 0 1.225 * * [simplify]: Extracting #1: cost 0 inf + 1 1.225 * [simplify]: Simplified to 0 1.225 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 1.225 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 1.225 * [simplify]: Simplifying (* -2 re) 1.225 * * [simplify]: iters left: 2 (3 enodes) 1.226 * * [simplify]: iters left: 1 (10 enodes) 1.228 * * [simplify]: Extracting #0: cost 1 inf + 0 1.228 * * [simplify]: Extracting #1: cost 4 inf + 0 1.228 * * [simplify]: Extracting #2: cost 2 inf + 2 1.228 * * [simplify]: Extracting #3: cost 0 inf + 86 1.228 * [simplify]: Simplified to (* -2 re) 1.228 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 1.228 * * * [progress]: adding candidates to table 1.598 * * [progress]: iteration 2 / 4 1.598 * * * [progress]: picking best candidate 1.643 * * * * [pick]: Picked # 1.643 * * * [progress]: localizing error 1.671 * * * [progress]: generating rewritten candidates 1.672 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.683 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.735 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.809 * * * [progress]: generating series expansions 1.810 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.810 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.810 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.810 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.810 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.810 * [taylor]: Taking taylor expansion of im in im 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.810 * [taylor]: Taking taylor expansion of re in im 1.810 * [backup-simplify]: Simplify re into re 1.810 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.810 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.810 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.810 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.811 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.811 * [backup-simplify]: Simplify im into im 1.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.811 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.811 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.812 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.812 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.812 * [taylor]: Taking taylor expansion of im in re 1.812 * [backup-simplify]: Simplify im into im 1.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.812 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.812 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.812 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.812 * [taylor]: Taking taylor expansion of im in im 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [taylor]: Taking taylor expansion of 0 in im 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.813 * [backup-simplify]: Simplify (* 1 1) into 1 1.813 * [backup-simplify]: Simplify (+ 0 1) into 1 1.814 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.814 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.814 * [taylor]: Taking taylor expansion of 1/2 in im 1.814 * [backup-simplify]: Simplify 1/2 into 1/2 1.814 * [taylor]: Taking taylor expansion of im in im 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.816 * [taylor]: Taking taylor expansion of 0 in im 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.817 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.817 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.817 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.817 * [taylor]: Taking taylor expansion of re in im 1.817 * [backup-simplify]: Simplify re into re 1.817 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.817 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.817 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.817 * [taylor]: Taking taylor expansion of im in im 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (* 1 1) into 1 1.818 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [backup-simplify]: Simplify (+ 0 1) into 1 1.818 * [backup-simplify]: Simplify (sqrt 1) into 1 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.820 * [taylor]: Taking taylor expansion of re in re 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (* 1 1) into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.820 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.820 * [taylor]: Taking taylor expansion of im in re 1.820 * [backup-simplify]: Simplify im into im 1.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.821 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.821 * [backup-simplify]: Simplify (+ 1 0) into 1 1.821 * [backup-simplify]: Simplify (sqrt 1) into 1 1.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.823 * [taylor]: Taking taylor expansion of re in re 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (* 1 1) into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.823 * [taylor]: Taking taylor expansion of im in re 1.823 * [backup-simplify]: Simplify im into im 1.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.823 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.824 * [backup-simplify]: Simplify (+ 1 0) into 1 1.824 * [backup-simplify]: Simplify (sqrt 1) into 1 1.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.826 * [taylor]: Taking taylor expansion of 1 in im 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of 0 in im 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.828 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.828 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.828 * [taylor]: Taking taylor expansion of 1/2 in im 1.828 * [backup-simplify]: Simplify 1/2 into 1/2 1.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.828 * [taylor]: Taking taylor expansion of im in im 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (* 1 1) into 1 1.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.831 * [taylor]: Taking taylor expansion of 0 in im 1.831 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.834 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.834 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.834 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.834 * [taylor]: Taking taylor expansion of re in im 1.834 * [backup-simplify]: Simplify re into re 1.834 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.834 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.834 * [taylor]: Taking taylor expansion of im in im 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (* 1 1) into 1 1.835 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [backup-simplify]: Simplify (+ 0 1) into 1 1.836 * [backup-simplify]: Simplify (sqrt 1) into 1 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.839 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.839 * [taylor]: Taking taylor expansion of re in re 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (* 1 1) into 1 1.840 * [backup-simplify]: Simplify (/ 1 1) into 1 1.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.840 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.840 * [taylor]: Taking taylor expansion of im in re 1.840 * [backup-simplify]: Simplify im into im 1.840 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.840 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.840 * [backup-simplify]: Simplify (+ 1 0) into 1 1.841 * [backup-simplify]: Simplify (sqrt 1) into 1 1.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.843 * [taylor]: Taking taylor expansion of re in re 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (* 1 1) into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.844 * [taylor]: Taking taylor expansion of im in re 1.844 * [backup-simplify]: Simplify im into im 1.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.845 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.845 * [backup-simplify]: Simplify (+ 1 0) into 1 1.845 * [backup-simplify]: Simplify (sqrt 1) into 1 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.848 * [taylor]: Taking taylor expansion of 1 in im 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [taylor]: Taking taylor expansion of 0 in im 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.852 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.852 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.852 * [taylor]: Taking taylor expansion of 1/2 in im 1.852 * [backup-simplify]: Simplify 1/2 into 1/2 1.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.852 * [taylor]: Taking taylor expansion of im in im 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (* 1 1) into 1 1.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.858 * [taylor]: Taking taylor expansion of 0 in im 1.858 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.860 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.860 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.860 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.860 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.860 * [taylor]: Taking taylor expansion of im in im 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.861 * [taylor]: Taking taylor expansion of re in im 1.861 * [backup-simplify]: Simplify re into re 1.861 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.861 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.861 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.861 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.861 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.861 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [backup-simplify]: Simplify im into im 1.862 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.862 * [taylor]: Taking taylor expansion of re in re 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.862 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.862 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.862 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.862 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.863 * [taylor]: Taking taylor expansion of im in re 1.863 * [backup-simplify]: Simplify im into im 1.863 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.863 * [taylor]: Taking taylor expansion of re in re 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.863 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.863 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.863 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.863 * [taylor]: Taking taylor expansion of im in im 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify 0 into 0 1.864 * [taylor]: Taking taylor expansion of 0 in im 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.864 * [backup-simplify]: Simplify (* 1 1) into 1 1.864 * [backup-simplify]: Simplify (+ 0 1) into 1 1.865 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.865 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.865 * [taylor]: Taking taylor expansion of 1/2 in im 1.865 * [backup-simplify]: Simplify 1/2 into 1/2 1.865 * [taylor]: Taking taylor expansion of im in im 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.867 * [taylor]: Taking taylor expansion of 0 in im 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.868 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.868 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.868 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.868 * [taylor]: Taking taylor expansion of re in im 1.868 * [backup-simplify]: Simplify re into re 1.868 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.868 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.868 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.868 * [taylor]: Taking taylor expansion of im in im 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.869 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [backup-simplify]: Simplify (+ 0 1) into 1 1.869 * [backup-simplify]: Simplify (sqrt 1) into 1 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.871 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.871 * [taylor]: Taking taylor expansion of re in re 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.871 * [taylor]: Taking taylor expansion of im in re 1.871 * [backup-simplify]: Simplify im into im 1.871 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.872 * [backup-simplify]: Simplify (+ 1 0) into 1 1.872 * [backup-simplify]: Simplify (sqrt 1) into 1 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.874 * [taylor]: Taking taylor expansion of re in re 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.874 * [backup-simplify]: Simplify (/ 1 1) into 1 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.874 * [taylor]: Taking taylor expansion of im in re 1.874 * [backup-simplify]: Simplify im into im 1.874 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.874 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.874 * [backup-simplify]: Simplify (+ 1 0) into 1 1.875 * [backup-simplify]: Simplify (sqrt 1) into 1 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.876 * [taylor]: Taking taylor expansion of 1 in im 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of 0 in im 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.878 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.878 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.878 * [taylor]: Taking taylor expansion of 1/2 in im 1.878 * [backup-simplify]: Simplify 1/2 into 1/2 1.878 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.878 * [taylor]: Taking taylor expansion of im in im 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.882 * [taylor]: Taking taylor expansion of 0 in im 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.883 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.883 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.883 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.883 * [taylor]: Taking taylor expansion of re in im 1.883 * [backup-simplify]: Simplify re into re 1.883 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.884 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.884 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.884 * [taylor]: Taking taylor expansion of im in im 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (* 1 1) into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (+ 0 1) into 1 1.885 * [backup-simplify]: Simplify (sqrt 1) into 1 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.886 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.886 * [taylor]: Taking taylor expansion of re in re 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (* 1 1) into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.887 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.887 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.887 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.887 * [backup-simplify]: Simplify (+ 1 0) into 1 1.887 * [backup-simplify]: Simplify (sqrt 1) into 1 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.889 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.889 * [taylor]: Taking taylor expansion of re in re 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (* 1 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.889 * [taylor]: Taking taylor expansion of im in re 1.890 * [backup-simplify]: Simplify im into im 1.890 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.890 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.890 * [backup-simplify]: Simplify (+ 1 0) into 1 1.890 * [backup-simplify]: Simplify (sqrt 1) into 1 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.892 * [taylor]: Taking taylor expansion of 1 in im 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of 0 in im 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.896 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.896 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.896 * [taylor]: Taking taylor expansion of 1/2 in im 1.896 * [backup-simplify]: Simplify 1/2 into 1/2 1.896 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.903 * [taylor]: Taking taylor expansion of 0 in im 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.906 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.906 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 1.906 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 1.906 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 1.906 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.906 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.907 * [taylor]: Taking taylor expansion of re in im 1.907 * [backup-simplify]: Simplify re into re 1.907 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.907 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.907 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.907 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.908 * [taylor]: Taking taylor expansion of re in im 1.908 * [backup-simplify]: Simplify re into re 1.908 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.908 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.908 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [backup-simplify]: Simplify im into im 1.908 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.908 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.908 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.909 * [taylor]: Taking taylor expansion of re in re 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.909 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.909 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.909 * [taylor]: Taking taylor expansion of im in re 1.909 * [backup-simplify]: Simplify im into im 1.909 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.909 * [taylor]: Taking taylor expansion of re in re 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.910 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.910 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ im 0) into im 1.911 * [taylor]: Taking taylor expansion of im in im 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (- 1) into -1 1.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.912 * [taylor]: Taking taylor expansion of -1 in im 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.913 * [backup-simplify]: Simplify (* 1 1) into 1 1.914 * [backup-simplify]: Simplify (+ 0 1) into 1 1.915 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.916 * [taylor]: Taking taylor expansion of 1/2 in im 1.916 * [backup-simplify]: Simplify 1/2 into 1/2 1.916 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.916 * [taylor]: Taking taylor expansion of im in im 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (/ 1 1) into 1 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [taylor]: Taking taylor expansion of 0 in im 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.929 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 1.929 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 1.929 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.929 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.929 * [taylor]: Taking taylor expansion of re in im 1.929 * [backup-simplify]: Simplify re into re 1.929 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.929 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.929 * [taylor]: Taking taylor expansion of im in im 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (* 1 1) into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [backup-simplify]: Simplify (+ 0 1) into 1 1.931 * [backup-simplify]: Simplify (sqrt 1) into 1 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.933 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.933 * [taylor]: Taking taylor expansion of re in im 1.933 * [backup-simplify]: Simplify re into re 1.933 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.933 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.933 * [taylor]: Taking taylor expansion of re in re 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.933 * [taylor]: Taking taylor expansion of im in re 1.933 * [backup-simplify]: Simplify im into im 1.933 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (sqrt 1) into 1 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.936 * [taylor]: Taking taylor expansion of re in re 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.936 * [taylor]: Taking taylor expansion of re in re 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.936 * [taylor]: Taking taylor expansion of im in re 1.936 * [backup-simplify]: Simplify im into im 1.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.937 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (sqrt 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.939 * [taylor]: Taking taylor expansion of re in re 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [backup-simplify]: Simplify (- 1) into -1 1.939 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.940 * [taylor]: Taking taylor expansion of 0 in im 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [taylor]: Taking taylor expansion of 0 in im 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.943 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (- 0) into 0 1.943 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.944 * [taylor]: Taking taylor expansion of 1/2 in im 1.944 * [backup-simplify]: Simplify 1/2 into 1/2 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [taylor]: Taking taylor expansion of 0 in im 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1.951 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.951 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.951 * [taylor]: Taking taylor expansion of re in im 1.951 * [backup-simplify]: Simplify re into re 1.951 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.951 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.951 * [taylor]: Taking taylor expansion of re in im 1.951 * [backup-simplify]: Simplify re into re 1.951 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.951 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.951 * [taylor]: Taking taylor expansion of im in im 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.952 * [backup-simplify]: Simplify (sqrt 1) into 1 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.954 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.954 * [taylor]: Taking taylor expansion of re in re 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.954 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.954 * [taylor]: Taking taylor expansion of re in re 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (* 1 1) into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.955 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.955 * [taylor]: Taking taylor expansion of im in re 1.955 * [backup-simplify]: Simplify im into im 1.955 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.955 * [backup-simplify]: Simplify (+ 1 0) into 1 1.955 * [backup-simplify]: Simplify (sqrt 1) into 1 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.957 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.957 * [taylor]: Taking taylor expansion of re in re 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.957 * [taylor]: Taking taylor expansion of re in re 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.958 * [taylor]: Taking taylor expansion of im in re 1.958 * [backup-simplify]: Simplify im into im 1.958 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (sqrt 1) into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.961 * [backup-simplify]: Simplify (+ 1 1) into 2 1.961 * [taylor]: Taking taylor expansion of 2 in im 1.961 * [backup-simplify]: Simplify 2 into 2 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [taylor]: Taking taylor expansion of 0 in im 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 2 into 2 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.966 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.966 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.966 * [taylor]: Taking taylor expansion of 1/2 in im 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.966 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.966 * [taylor]: Taking taylor expansion of im in im 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* 1 1) into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [taylor]: Taking taylor expansion of 0 in im 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.977 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.977 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 1.977 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.977 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.977 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.977 * [taylor]: Taking taylor expansion of im in im 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.978 * [taylor]: Taking taylor expansion of re in im 1.978 * [backup-simplify]: Simplify re into re 1.978 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.978 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.978 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.978 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.978 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.978 * [backup-simplify]: Simplify im into im 1.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.979 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.979 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.979 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.979 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.979 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.979 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.980 * [taylor]: Taking taylor expansion of im in re 1.980 * [backup-simplify]: Simplify im into im 1.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.980 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.980 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.980 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.981 * [taylor]: Taking taylor expansion of im in im 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [taylor]: Taking taylor expansion of 0 in im 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (+ 0 1) into 1 1.983 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.983 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.983 * [taylor]: Taking taylor expansion of 1/2 in im 1.983 * [backup-simplify]: Simplify 1/2 into 1/2 1.983 * [taylor]: Taking taylor expansion of im in im 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.986 * [taylor]: Taking taylor expansion of 0 in im 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.988 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.988 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.988 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.988 * [taylor]: Taking taylor expansion of re in im 1.988 * [backup-simplify]: Simplify re into re 1.988 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.988 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.988 * [taylor]: Taking taylor expansion of im in im 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [backup-simplify]: Simplify (+ 0 1) into 1 1.990 * [backup-simplify]: Simplify (sqrt 1) into 1 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.992 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.992 * [taylor]: Taking taylor expansion of re in re 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.993 * [taylor]: Taking taylor expansion of im in re 1.993 * [backup-simplify]: Simplify im into im 1.993 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.993 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.994 * [backup-simplify]: Simplify (+ 1 0) into 1 1.994 * [backup-simplify]: Simplify (sqrt 1) into 1 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.996 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.996 * [taylor]: Taking taylor expansion of re in re 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.997 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.997 * [taylor]: Taking taylor expansion of im in re 1.997 * [backup-simplify]: Simplify im into im 1.997 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.998 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.998 * [backup-simplify]: Simplify (+ 1 0) into 1 1.998 * [backup-simplify]: Simplify (sqrt 1) into 1 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.001 * [taylor]: Taking taylor expansion of 1 in im 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [taylor]: Taking taylor expansion of 0 in im 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.004 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.004 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.004 * [taylor]: Taking taylor expansion of 1/2 in im 2.004 * [backup-simplify]: Simplify 1/2 into 1/2 2.004 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.010 * [taylor]: Taking taylor expansion of 0 in im 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.013 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.013 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.013 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.013 * [taylor]: Taking taylor expansion of re in im 2.013 * [backup-simplify]: Simplify re into re 2.013 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.013 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.013 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.013 * [taylor]: Taking taylor expansion of im in im 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [backup-simplify]: Simplify (+ 0 1) into 1 2.015 * [backup-simplify]: Simplify (sqrt 1) into 1 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.017 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.017 * [taylor]: Taking taylor expansion of re in re 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (* 1 1) into 1 2.018 * [backup-simplify]: Simplify (/ 1 1) into 1 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.018 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.018 * [taylor]: Taking taylor expansion of im in re 2.018 * [backup-simplify]: Simplify im into im 2.018 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.019 * [backup-simplify]: Simplify (+ 1 0) into 1 2.019 * [backup-simplify]: Simplify (sqrt 1) into 1 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.021 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (* 1 1) into 1 2.022 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [backup-simplify]: Simplify im into im 2.022 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.022 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.023 * [backup-simplify]: Simplify (+ 1 0) into 1 2.023 * [backup-simplify]: Simplify (sqrt 1) into 1 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.026 * [taylor]: Taking taylor expansion of 1 in im 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of 0 in im 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.029 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.029 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.029 * [taylor]: Taking taylor expansion of 1/2 in im 2.029 * [backup-simplify]: Simplify 1/2 into 1/2 2.029 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in im 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.036 * * * [progress]: simplifying candidates 2.036 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 2.037 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 2.037 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 2.037 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 2.037 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 2.037 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 2.037 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 2.037 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 2.037 * * [simplify]: iters left: 6 (8 enodes) 2.041 * * [simplify]: iters left: 5 (26 enodes) 2.047 * * [simplify]: Extracting #0: cost 1 inf + 0 2.047 * * [simplify]: Extracting #1: cost 4 inf + 0 2.047 * * [simplify]: Extracting #2: cost 7 inf + 0 2.047 * * [simplify]: Extracting #3: cost 10 inf + 0 2.048 * * [simplify]: Extracting #4: cost 14 inf + 0 2.048 * * [simplify]: Extracting #5: cost 10 inf + 84 2.048 * * [simplify]: Extracting #6: cost 8 inf + 166 2.048 * * [simplify]: Extracting #7: cost 4 inf + 854 2.049 * * [simplify]: Extracting #8: cost 1 inf + 1540 2.049 * * [simplify]: Extracting #9: cost 0 inf + 1782 2.050 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 2.050 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 2.050 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 2.050 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 2.050 * * [simplify]: iters left: 6 (7 enodes) 2.053 * * [simplify]: iters left: 5 (22 enodes) 2.059 * * [simplify]: Extracting #0: cost 1 inf + 0 2.059 * * [simplify]: Extracting #1: cost 3 inf + 0 2.059 * * [simplify]: Extracting #2: cost 5 inf + 0 2.059 * * [simplify]: Extracting #3: cost 8 inf + 0 2.059 * * [simplify]: Extracting #4: cost 12 inf + 0 2.059 * * [simplify]: Extracting #5: cost 10 inf + 2 2.060 * * [simplify]: Extracting #6: cost 1 inf + 936 2.064 * * [simplify]: Extracting #7: cost 0 inf + 1138 2.065 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 2.065 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 2.065 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 2.065 * [simplify]: Simplifying (sqrt 1) 2.065 * * [simplify]: iters left: 1 (2 enodes) 2.068 * * [simplify]: Extracting #0: cost 1 inf + 0 2.069 * * [simplify]: Extracting #1: cost 0 inf + 1 2.069 * [simplify]: Simplified to 1 2.069 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 2.069 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 2.069 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 2.069 * * [simplify]: iters left: 6 (9 enodes) 2.075 * * [simplify]: iters left: 5 (45 enodes) 2.096 * * [simplify]: iters left: 4 (100 enodes) 2.143 * * [simplify]: iters left: 3 (201 enodes) 2.209 * * [simplify]: iters left: 2 (406 enodes) 2.356 * * [simplify]: Extracting #0: cost 1 inf + 0 2.356 * * [simplify]: Extracting #1: cost 3 inf + 0 2.356 * * [simplify]: Extracting #2: cost 6 inf + 0 2.357 * * [simplify]: Extracting #3: cost 62 inf + 0 2.357 * * [simplify]: Extracting #4: cost 166 inf + 460 2.359 * * [simplify]: Extracting #5: cost 131 inf + 12951 2.363 * * [simplify]: Extracting #6: cost 49 inf + 45746 2.369 * * [simplify]: Extracting #7: cost 1 inf + 66256 2.374 * * [simplify]: Extracting #8: cost 0 inf + 65919 2.380 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 2.380 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (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))))) 2.380 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 2.381 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 2.381 * * [simplify]: iters left: 6 (8 enodes) 2.386 * * [simplify]: iters left: 5 (37 enodes) 2.393 * * [simplify]: iters left: 4 (67 enodes) 2.406 * * [simplify]: iters left: 3 (123 enodes) 2.434 * * [simplify]: iters left: 2 (278 enodes) 2.574 * * [simplify]: Extracting #0: cost 1 inf + 0 2.574 * * [simplify]: Extracting #1: cost 3 inf + 0 2.575 * * [simplify]: Extracting #2: cost 50 inf + 0 2.575 * * [simplify]: Extracting #3: cost 150 inf + 0 2.576 * * [simplify]: Extracting #4: cost 194 inf + 1180 2.578 * * [simplify]: Extracting #5: cost 123 inf + 12421 2.584 * * [simplify]: Extracting #6: cost 12 inf + 33804 2.597 * * [simplify]: Extracting #7: cost 0 inf + 36129 2.612 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 2.613 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))) 2.613 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 2.613 * [simplify]: Simplifying (+ (* re re) (* im im)) 2.613 * * [simplify]: iters left: 4 (5 enodes) 2.615 * * [simplify]: iters left: 3 (16 enodes) 2.618 * * [simplify]: Extracting #0: cost 1 inf + 0 2.618 * * [simplify]: Extracting #1: cost 4 inf + 0 2.618 * * [simplify]: Extracting #2: cost 8 inf + 0 2.618 * * [simplify]: Extracting #3: cost 4 inf + 84 2.618 * * [simplify]: Extracting #4: cost 0 inf + 410 2.619 * [simplify]: Simplified to (+ (* re re) (* im im)) 2.619 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))) 2.619 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 2.619 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 2.619 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 2.619 * * [simplify]: iters left: 5 (6 enodes) 2.621 * * [simplify]: iters left: 4 (19 enodes) 2.623 * * [simplify]: Extracting #0: cost 1 inf + 0 2.623 * * [simplify]: Extracting #1: cost 3 inf + 0 2.624 * * [simplify]: Extracting #2: cost 6 inf + 0 2.624 * * [simplify]: Extracting #3: cost 10 inf + 0 2.624 * * [simplify]: Extracting #4: cost 6 inf + 84 2.624 * * [simplify]: Extracting #5: cost 0 inf + 734 2.624 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 2.624 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re))))) 2.624 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 2.624 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 2.624 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 2.624 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 2.624 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 2.624 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 2.624 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 2.624 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 2.624 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 2.625 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 2.625 * * [simplify]: iters left: 6 (8 enodes) 2.627 * * [simplify]: iters left: 5 (26 enodes) 2.631 * * [simplify]: Extracting #0: cost 1 inf + 0 2.631 * * [simplify]: Extracting #1: cost 4 inf + 0 2.631 * * [simplify]: Extracting #2: cost 7 inf + 0 2.631 * * [simplify]: Extracting #3: cost 10 inf + 0 2.631 * * [simplify]: Extracting #4: cost 14 inf + 0 2.631 * * [simplify]: Extracting #5: cost 10 inf + 84 2.631 * * [simplify]: Extracting #6: cost 8 inf + 166 2.631 * * [simplify]: Extracting #7: cost 4 inf + 854 2.631 * * [simplify]: Extracting #8: cost 1 inf + 1540 2.632 * * [simplify]: Extracting #9: cost 0 inf + 1782 2.632 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 2.632 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.632 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 2.632 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 2.632 * * [simplify]: iters left: 6 (7 enodes) 2.635 * * [simplify]: iters left: 5 (22 enodes) 2.638 * * [simplify]: Extracting #0: cost 1 inf + 0 2.638 * * [simplify]: Extracting #1: cost 3 inf + 0 2.638 * * [simplify]: Extracting #2: cost 5 inf + 0 2.638 * * [simplify]: Extracting #3: cost 8 inf + 0 2.638 * * [simplify]: Extracting #4: cost 12 inf + 0 2.638 * * [simplify]: Extracting #5: cost 10 inf + 2 2.638 * * [simplify]: Extracting #6: cost 1 inf + 936 2.639 * * [simplify]: Extracting #7: cost 0 inf + 1138 2.639 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 2.639 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.639 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 2.639 * [simplify]: Simplifying (sqrt 1) 2.639 * * [simplify]: iters left: 1 (2 enodes) 2.641 * * [simplify]: Extracting #0: cost 1 inf + 0 2.641 * * [simplify]: Extracting #1: cost 0 inf + 1 2.641 * [simplify]: Simplified to 1 2.641 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.641 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 2.642 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 2.642 * * [simplify]: iters left: 6 (9 enodes) 2.644 * * [simplify]: iters left: 5 (45 enodes) 2.656 * * [simplify]: iters left: 4 (100 enodes) 2.684 * * [simplify]: iters left: 3 (201 enodes) 2.730 * * [simplify]: iters left: 2 (406 enodes) 2.888 * * [simplify]: Extracting #0: cost 1 inf + 0 2.888 * * [simplify]: Extracting #1: cost 3 inf + 0 2.888 * * [simplify]: Extracting #2: cost 6 inf + 0 2.889 * * [simplify]: Extracting #3: cost 62 inf + 0 2.890 * * [simplify]: Extracting #4: cost 166 inf + 460 2.892 * * [simplify]: Extracting #5: cost 131 inf + 12951 2.896 * * [simplify]: Extracting #6: cost 49 inf + 45746 2.901 * * [simplify]: Extracting #7: cost 1 inf + 66256 2.908 * * [simplify]: Extracting #8: cost 0 inf + 65919 2.913 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 2.913 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (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))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.914 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 2.914 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 2.914 * * [simplify]: iters left: 6 (8 enodes) 2.916 * * [simplify]: iters left: 5 (37 enodes) 2.925 * * [simplify]: iters left: 4 (67 enodes) 2.949 * * [simplify]: iters left: 3 (123 enodes) 2.993 * * [simplify]: iters left: 2 (278 enodes) 3.136 * * [simplify]: Extracting #0: cost 1 inf + 0 3.136 * * [simplify]: Extracting #1: cost 3 inf + 0 3.136 * * [simplify]: Extracting #2: cost 50 inf + 0 3.137 * * [simplify]: Extracting #3: cost 150 inf + 0 3.138 * * [simplify]: Extracting #4: cost 194 inf + 1180 3.140 * * [simplify]: Extracting #5: cost 123 inf + 12421 3.149 * * [simplify]: Extracting #6: cost 12 inf + 33804 3.157 * * [simplify]: Extracting #7: cost 0 inf + 36129 3.165 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.165 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 3.165 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 3.165 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.165 * * [simplify]: iters left: 4 (5 enodes) 3.167 * * [simplify]: iters left: 3 (16 enodes) 3.169 * * [simplify]: Extracting #0: cost 1 inf + 0 3.169 * * [simplify]: Extracting #1: cost 4 inf + 0 3.169 * * [simplify]: Extracting #2: cost 8 inf + 0 3.169 * * [simplify]: Extracting #3: cost 4 inf + 84 3.169 * * [simplify]: Extracting #4: cost 0 inf + 410 3.169 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.169 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 3.170 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 3.170 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 3.170 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.170 * * [simplify]: iters left: 5 (6 enodes) 3.171 * * [simplify]: iters left: 4 (19 enodes) 3.174 * * [simplify]: Extracting #0: cost 1 inf + 0 3.174 * * [simplify]: Extracting #1: cost 3 inf + 0 3.174 * * [simplify]: Extracting #2: cost 6 inf + 0 3.174 * * [simplify]: Extracting #3: cost 10 inf + 0 3.174 * * [simplify]: Extracting #4: cost 6 inf + 84 3.174 * * [simplify]: Extracting #5: cost 0 inf + 734 3.174 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.175 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 3.175 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 3.175 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 3.175 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 3.175 * [simplify]: Simplifying (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) 3.175 * * [simplify]: iters left: 6 (11 enodes) 3.178 * * [simplify]: iters left: 5 (36 enodes) 3.183 * * [simplify]: iters left: 4 (47 enodes) 3.198 * * [simplify]: iters left: 3 (65 enodes) 3.215 * * [simplify]: iters left: 2 (102 enodes) 3.235 * * [simplify]: iters left: 1 (197 enodes) 3.720 * * [simplify]: Extracting #0: cost 1 inf + 0 3.720 * * [simplify]: Extracting #1: cost 38 inf + 0 3.720 * * [simplify]: Extracting #2: cost 116 inf + 0 3.720 * * [simplify]: Extracting #3: cost 145 inf + 45 3.721 * * [simplify]: Extracting #4: cost 145 inf + 564 3.722 * * [simplify]: Extracting #5: cost 147 inf + 605 3.722 * * [simplify]: Extracting #6: cost 138 inf + 1529 3.723 * * [simplify]: Extracting #7: cost 129 inf + 3739 3.726 * * [simplify]: Extracting #8: cost 101 inf + 14019 3.733 * * [simplify]: Extracting #9: cost 45 inf + 51111 3.747 * * [simplify]: Extracting #10: cost 3 inf + 87644 3.762 * * [simplify]: Extracting #11: cost 0 inf + 89298 3.781 * * [simplify]: Extracting #12: cost 0 inf + 89257 3.797 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 3.797 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 3.797 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 3.797 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 3.797 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 3.797 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 3.797 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 3.798 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 3.798 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 3.798 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 3.798 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 3.798 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 3.798 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 3.798 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.798 * * [simplify]: iters left: 6 (9 enodes) 3.800 * * [simplify]: iters left: 5 (29 enodes) 3.804 * * [simplify]: Extracting #0: cost 1 inf + 0 3.804 * * [simplify]: Extracting #1: cost 4 inf + 0 3.804 * * [simplify]: Extracting #2: cost 8 inf + 0 3.804 * * [simplify]: Extracting #3: cost 9 inf + 1 3.804 * * [simplify]: Extracting #4: cost 11 inf + 42 3.804 * * [simplify]: Extracting #5: cost 12 inf + 124 3.804 * * [simplify]: Extracting #6: cost 8 inf + 248 3.805 * * [simplify]: Extracting #7: cost 5 inf + 654 3.805 * * [simplify]: Extracting #8: cost 2 inf + 1300 3.805 * * [simplify]: Extracting #9: cost 0 inf + 1784 3.805 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 3.805 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 3.806 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.806 * * [simplify]: iters left: 6 (9 enodes) 3.808 * * [simplify]: iters left: 5 (30 enodes) 3.812 * * [simplify]: iters left: 4 (33 enodes) 3.817 * * [simplify]: Extracting #0: cost 1 inf + 0 3.817 * * [simplify]: Extracting #1: cost 5 inf + 0 3.817 * * [simplify]: Extracting #2: cost 10 inf + 0 3.817 * * [simplify]: Extracting #3: cost 11 inf + 1 3.817 * * [simplify]: Extracting #4: cost 10 inf + 245 3.817 * * [simplify]: Extracting #5: cost 12 inf + 286 3.817 * * [simplify]: Extracting #6: cost 8 inf + 410 3.817 * * [simplify]: Extracting #7: cost 6 inf + 694 3.817 * * [simplify]: Extracting #8: cost 1 inf + 1744 3.818 * * [simplify]: Extracting #9: cost 0 inf + 1946 3.818 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.818 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 3.818 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 3.818 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 3.818 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 3.819 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.819 * * [simplify]: iters left: 5 (6 enodes) 3.820 * * [simplify]: iters left: 4 (19 enodes) 3.823 * * [simplify]: Extracting #0: cost 1 inf + 0 3.823 * * [simplify]: Extracting #1: cost 3 inf + 0 3.823 * * [simplify]: Extracting #2: cost 6 inf + 0 3.823 * * [simplify]: Extracting #3: cost 10 inf + 0 3.823 * * [simplify]: Extracting #4: cost 6 inf + 84 3.823 * * [simplify]: Extracting #5: cost 0 inf + 734 3.823 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.823 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 1/2)) re))))) 3.823 * [simplify]: Simplifying (+ 1/2 1/2) 3.824 * * [simplify]: iters left: 2 (2 enodes) 3.825 * * [simplify]: iters left: 1 (7 enodes) 3.826 * * [simplify]: Extracting #0: cost 1 inf + 0 3.826 * * [simplify]: Extracting #1: cost 0 inf + 1 3.826 * [simplify]: Simplified to 1 3.826 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.826 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 3.827 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.827 * * [simplify]: iters left: 5 (6 enodes) 3.829 * * [simplify]: iters left: 4 (19 enodes) 3.835 * * [simplify]: Extracting #0: cost 1 inf + 0 3.835 * * [simplify]: Extracting #1: cost 3 inf + 0 3.835 * * [simplify]: Extracting #2: cost 6 inf + 0 3.835 * * [simplify]: Extracting #3: cost 10 inf + 0 3.835 * * [simplify]: Extracting #4: cost 6 inf + 84 3.835 * * [simplify]: Extracting #5: cost 0 inf + 734 3.836 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.836 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 (/ 1 2))) re))))) 3.836 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 3.836 * * [simplify]: iters left: 4 (5 enodes) 3.842 * * [simplify]: iters left: 3 (18 enodes) 3.850 * * [simplify]: iters left: 2 (20 enodes) 3.856 * * [simplify]: Extracting #0: cost 1 inf + 0 3.856 * * [simplify]: Extracting #1: cost 0 inf + 1 3.856 * [simplify]: Simplified to 1 3.856 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.856 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 3.857 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.857 * * [simplify]: iters left: 6 (7 enodes) 3.860 * * [simplify]: iters left: 5 (22 enodes) 3.866 * * [simplify]: Extracting #0: cost 1 inf + 0 3.866 * * [simplify]: Extracting #1: cost 3 inf + 0 3.866 * * [simplify]: Extracting #2: cost 5 inf + 0 3.866 * * [simplify]: Extracting #3: cost 8 inf + 0 3.866 * * [simplify]: Extracting #4: cost 12 inf + 0 3.867 * * [simplify]: Extracting #5: cost 10 inf + 2 3.867 * * [simplify]: Extracting #6: cost 1 inf + 936 3.867 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.868 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.868 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 3.868 * [simplify]: Simplifying (+ 1 1) 3.868 * * [simplify]: iters left: 2 (2 enodes) 3.871 * * [simplify]: iters left: 1 (9 enodes) 3.874 * * [simplify]: Extracting #0: cost 1 inf + 0 3.874 * * [simplify]: Extracting #1: cost 0 inf + 1 3.874 * [simplify]: Simplified to 2 3.874 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 3.874 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 3.874 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.874 * * [simplify]: iters left: 4 (5 enodes) 3.875 * * [simplify]: iters left: 3 (16 enodes) 3.878 * * [simplify]: Extracting #0: cost 1 inf + 0 3.878 * * [simplify]: Extracting #1: cost 4 inf + 0 3.878 * * [simplify]: Extracting #2: cost 8 inf + 0 3.878 * * [simplify]: Extracting #3: cost 4 inf + 84 3.878 * * [simplify]: Extracting #4: cost 0 inf + 410 3.878 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.878 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ 1/2 2))) re))))) 3.878 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1/2 2)) 3.878 * * [simplify]: iters left: 4 (4 enodes) 3.882 * * [simplify]: iters left: 3 (13 enodes) 3.886 * * [simplify]: Extracting #0: cost 1 inf + 0 3.886 * * [simplify]: Extracting #1: cost 0 inf + 1 3.886 * [simplify]: Simplified to 1/2 3.886 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.886 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 3.886 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.886 * * [simplify]: iters left: 4 (5 enodes) 3.887 * * [simplify]: iters left: 3 (16 enodes) 3.890 * * [simplify]: Extracting #0: cost 1 inf + 0 3.890 * * [simplify]: Extracting #1: cost 4 inf + 0 3.890 * * [simplify]: Extracting #2: cost 8 inf + 0 3.890 * * [simplify]: Extracting #3: cost 4 inf + 84 3.890 * * [simplify]: Extracting #4: cost 0 inf + 410 3.890 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.890 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) re))))) 3.890 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 3.890 * * [simplify]: iters left: 6 (7 enodes) 3.894 * * [simplify]: iters left: 5 (28 enodes) 3.901 * * [simplify]: iters left: 4 (32 enodes) 3.909 * * [simplify]: Extracting #0: cost 1 inf + 0 3.909 * * [simplify]: Extracting #1: cost 0 inf + 1 3.909 * [simplify]: Simplified to 1/2 3.909 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.909 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 3.909 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.909 * * [simplify]: iters left: 5 (6 enodes) 3.912 * * [simplify]: iters left: 4 (19 enodes) 3.917 * * [simplify]: Extracting #0: cost 1 inf + 0 3.917 * * [simplify]: Extracting #1: cost 3 inf + 0 3.917 * * [simplify]: Extracting #2: cost 6 inf + 0 3.918 * * [simplify]: Extracting #3: cost 10 inf + 0 3.918 * * [simplify]: Extracting #4: cost 6 inf + 84 3.918 * * [simplify]: Extracting #5: cost 0 inf + 734 3.918 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.918 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) 1/2)) re))))) 3.919 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 3.919 * * [simplify]: iters left: 4 (5 enodes) 3.926 * * [simplify]: iters left: 3 (18 enodes) 3.931 * * [simplify]: iters left: 2 (20 enodes) 3.937 * * [simplify]: Extracting #0: cost 1 inf + 0 3.937 * * [simplify]: Extracting #1: cost 0 inf + 1 3.937 * [simplify]: Simplified to 1 3.937 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.937 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 3.937 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.938 * * [simplify]: iters left: 5 (6 enodes) 3.940 * * [simplify]: iters left: 4 (19 enodes) 3.946 * * [simplify]: Extracting #0: cost 1 inf + 0 3.946 * * [simplify]: Extracting #1: cost 3 inf + 0 3.946 * * [simplify]: Extracting #2: cost 6 inf + 0 3.946 * * [simplify]: Extracting #3: cost 10 inf + 0 3.946 * * [simplify]: Extracting #4: cost 6 inf + 84 3.946 * * [simplify]: Extracting #5: cost 0 inf + 734 3.947 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.947 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) (/ 1 2))) re))))) 3.947 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 3.947 * * [simplify]: iters left: 4 (4 enodes) 3.951 * * [simplify]: iters left: 3 (15 enodes) 3.956 * * [simplify]: iters left: 2 (17 enodes) 3.961 * * [simplify]: Extracting #0: cost 1 inf + 0 3.961 * * [simplify]: Extracting #1: cost 0 inf + 1 3.961 * [simplify]: Simplified to 1 3.961 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.961 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 3.961 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.961 * * [simplify]: iters left: 4 (5 enodes) 3.964 * * [simplify]: iters left: 3 (16 enodes) 3.968 * * [simplify]: Extracting #0: cost 1 inf + 0 3.968 * * [simplify]: Extracting #1: cost 4 inf + 0 3.968 * * [simplify]: Extracting #2: cost 8 inf + 0 3.968 * * [simplify]: Extracting #3: cost 4 inf + 84 3.969 * * [simplify]: Extracting #4: cost 0 inf + 410 3.969 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.969 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) re))))) 3.969 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 3.969 * * [simplify]: iters left: 6 (7 enodes) 3.977 * * [simplify]: iters left: 5 (28 enodes) 3.987 * * [simplify]: iters left: 4 (32 enodes) 3.995 * * [simplify]: Extracting #0: cost 1 inf + 0 3.996 * * [simplify]: Extracting #1: cost 0 inf + 1 3.996 * [simplify]: Simplified to 1/2 3.996 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.996 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 3.996 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.996 * * [simplify]: iters left: 4 (5 enodes) 3.999 * * [simplify]: iters left: 3 (16 enodes) 4.003 * * [simplify]: Extracting #0: cost 1 inf + 0 4.003 * * [simplify]: Extracting #1: cost 4 inf + 0 4.003 * * [simplify]: Extracting #2: cost 8 inf + 0 4.003 * * [simplify]: Extracting #3: cost 4 inf + 84 4.003 * * [simplify]: Extracting #4: cost 0 inf + 410 4.004 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.004 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) re))))) 4.004 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 4.004 * * [simplify]: iters left: 6 (5 enodes) 4.010 * * [simplify]: iters left: 5 (22 enodes) 4.019 * * [simplify]: iters left: 4 (26 enodes) 4.029 * * [simplify]: Extracting #0: cost 1 inf + 0 4.030 * * [simplify]: Extracting #1: cost 0 inf + 1 4.030 * [simplify]: Simplified to 1/2 4.030 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 4.030 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 4.030 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 4.030 * * [simplify]: iters left: 6 (7 enodes) 4.034 * * [simplify]: iters left: 5 (20 enodes) 4.039 * * [simplify]: iters left: 4 (21 enodes) 4.045 * * [simplify]: Extracting #0: cost 1 inf + 0 4.045 * * [simplify]: Extracting #1: cost 5 inf + 0 4.045 * * [simplify]: Extracting #2: cost 10 inf + 0 4.045 * * [simplify]: Extracting #3: cost 6 inf + 84 4.046 * * [simplify]: Extracting #4: cost 2 inf + 410 4.046 * * [simplify]: Extracting #5: cost 0 inf + 734 4.046 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.046 * [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))))) 4.046 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 4.047 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 4.047 * * [simplify]: iters left: 6 (8 enodes) 4.050 * * [simplify]: iters left: 5 (23 enodes) 4.057 * * [simplify]: iters left: 4 (24 enodes) 4.063 * * [simplify]: Extracting #0: cost 1 inf + 0 4.063 * * [simplify]: Extracting #1: cost 4 inf + 0 4.063 * * [simplify]: Extracting #2: cost 8 inf + 0 4.063 * * [simplify]: Extracting #3: cost 12 inf + 0 4.063 * * [simplify]: Extracting #4: cost 10 inf + 2 4.063 * * [simplify]: Extracting #5: cost 3 inf + 572 4.064 * * [simplify]: Extracting #6: cost 0 inf + 1138 4.064 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.064 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 4.064 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 4.065 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 4.065 * * [simplify]: iters left: 6 (6 enodes) 4.068 * * [simplify]: iters left: 5 (25 enodes) 4.077 * * [simplify]: iters left: 4 (55 enodes) 4.098 * * [simplify]: iters left: 3 (127 enodes) 4.125 * * [simplify]: iters left: 2 (201 enodes) 4.165 * * [simplify]: iters left: 1 (287 enodes) 4.223 * * [simplify]: Extracting #0: cost 1 inf + 0 4.223 * * [simplify]: Extracting #1: cost 11 inf + 0 4.223 * * [simplify]: Extracting #2: cost 47 inf + 0 4.224 * * [simplify]: Extracting #3: cost 69 inf + 328 4.225 * * [simplify]: Extracting #4: cost 43 inf + 4414 4.227 * * [simplify]: Extracting #5: cost 1 inf + 11002 4.233 * * [simplify]: Extracting #6: cost 0 inf + 11044 4.239 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 4.239 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ 1/2 2)) re))))) 4.239 * [simplify]: Simplifying (/ 1/2 2) 4.239 * * [simplify]: iters left: 2 (3 enodes) 4.243 * * [simplify]: iters left: 1 (10 enodes) 4.246 * * [simplify]: Extracting #0: cost 1 inf + 0 4.246 * * [simplify]: Extracting #1: cost 0 inf + 1 4.246 * [simplify]: Simplified to 1/4 4.246 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 4.247 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 4.247 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 4.247 * * [simplify]: iters left: 6 (7 enodes) 4.250 * * [simplify]: iters left: 5 (20 enodes) 4.256 * * [simplify]: iters left: 4 (21 enodes) 4.261 * * [simplify]: Extracting #0: cost 1 inf + 0 4.261 * * [simplify]: Extracting #1: cost 5 inf + 0 4.261 * * [simplify]: Extracting #2: cost 10 inf + 0 4.262 * * [simplify]: Extracting #3: cost 6 inf + 84 4.262 * * [simplify]: Extracting #4: cost 2 inf + 410 4.262 * * [simplify]: Extracting #5: cost 0 inf + 734 4.262 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.263 * [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))))) 4.263 * [simplify]: Simplifying (/ 1 2) 4.263 * * [simplify]: iters left: 2 (3 enodes) 4.266 * * [simplify]: iters left: 1 (12 enodes) 4.270 * * [simplify]: Extracting #0: cost 1 inf + 0 4.271 * * [simplify]: Extracting #1: cost 0 inf + 1 4.271 * [simplify]: Simplified to 1/2 4.271 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 4.271 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 4.271 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 4.271 * * [simplify]: iters left: 6 (6 enodes) 4.274 * * [simplify]: iters left: 5 (25 enodes) 4.284 * * [simplify]: iters left: 4 (55 enodes) 4.304 * * [simplify]: iters left: 3 (127 enodes) 4.351 * * [simplify]: iters left: 2 (201 enodes) 4.409 * * [simplify]: iters left: 1 (287 enodes) 4.522 * * [simplify]: Extracting #0: cost 1 inf + 0 4.522 * * [simplify]: Extracting #1: cost 11 inf + 0 4.522 * * [simplify]: Extracting #2: cost 47 inf + 0 4.522 * * [simplify]: Extracting #3: cost 69 inf + 328 4.523 * * [simplify]: Extracting #4: cost 43 inf + 4414 4.526 * * [simplify]: Extracting #5: cost 1 inf + 11002 4.529 * * [simplify]: Extracting #6: cost 0 inf + 11044 4.532 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 4.532 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ (/ 1 2) 2)) re))))) 4.533 * [simplify]: Simplifying (/ (/ 1 2) 2) 4.533 * * [simplify]: iters left: 4 (4 enodes) 4.536 * * [simplify]: iters left: 3 (19 enodes) 4.539 * * [simplify]: iters left: 2 (23 enodes) 4.544 * * [simplify]: Extracting #0: cost 1 inf + 0 4.544 * * [simplify]: Extracting #1: cost 0 inf + 1 4.544 * [simplify]: Simplified to 1/4 4.544 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 4.544 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 4.544 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 4.544 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 4.544 * * [simplify]: iters left: 6 (7 enodes) 4.548 * * [simplify]: iters left: 5 (22 enodes) 4.554 * * [simplify]: Extracting #0: cost 1 inf + 0 4.554 * * [simplify]: Extracting #1: cost 3 inf + 0 4.554 * * [simplify]: Extracting #2: cost 5 inf + 0 4.554 * * [simplify]: Extracting #3: cost 8 inf + 0 4.554 * * [simplify]: Extracting #4: cost 12 inf + 0 4.554 * * [simplify]: Extracting #5: cost 10 inf + 2 4.554 * * [simplify]: Extracting #6: cost 1 inf + 936 4.555 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.555 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.555 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 4.556 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 4.556 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 4.556 * [simplify]: Simplifying (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 4.556 * * [simplify]: iters left: 6 (9 enodes) 4.560 * * [simplify]: iters left: 5 (28 enodes) 4.568 * * [simplify]: Extracting #0: cost 1 inf + 0 4.568 * * [simplify]: Extracting #1: cost 3 inf + 0 4.568 * * [simplify]: Extracting #2: cost 5 inf + 0 4.568 * * [simplify]: Extracting #3: cost 7 inf + 0 4.568 * * [simplify]: Extracting #4: cost 9 inf + 0 4.568 * * [simplify]: Extracting #5: cost 12 inf + 0 4.568 * * [simplify]: Extracting #6: cost 16 inf + 0 4.568 * * [simplify]: Extracting #7: cost 12 inf + 84 4.569 * * [simplify]: Extracting #8: cost 10 inf + 166 4.569 * * [simplify]: Extracting #9: cost 7 inf + 572 4.569 * * [simplify]: Extracting #10: cost 4 inf + 1208 4.570 * * [simplify]: Extracting #11: cost 1 inf + 1994 4.570 * * [simplify]: Extracting #12: cost 0 inf + 2306 4.571 * [simplify]: Simplified to (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 4.571 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 4.571 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 4.571 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 4.572 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 4.572 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) 4.572 * * [simplify]: iters left: 6 (10 enodes) 4.577 * * [simplify]: iters left: 5 (36 enodes) 4.589 * * [simplify]: iters left: 4 (47 enodes) 4.605 * * [simplify]: iters left: 3 (79 enodes) 4.624 * * [simplify]: iters left: 2 (165 enodes) 4.678 * * [simplify]: iters left: 1 (305 enodes) 4.760 * * [simplify]: Extracting #0: cost 1 inf + 0 4.760 * * [simplify]: Extracting #1: cost 24 inf + 0 4.760 * * [simplify]: Extracting #2: cost 109 inf + 3 4.761 * * [simplify]: Extracting #3: cost 127 inf + 1447 4.765 * * [simplify]: Extracting #4: cost 61 inf + 21575 4.779 * * [simplify]: Extracting #5: cost 10 inf + 46335 4.795 * * [simplify]: Extracting #6: cost 0 inf + 51476 4.814 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 4.814 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) re))))) 4.814 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 4.814 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 4.814 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 4.814 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 4.815 * * [simplify]: iters left: 6 (7 enodes) 4.818 * * [simplify]: iters left: 5 (20 enodes) 4.823 * * [simplify]: iters left: 4 (21 enodes) 4.829 * * [simplify]: Extracting #0: cost 1 inf + 0 4.829 * * [simplify]: Extracting #1: cost 5 inf + 0 4.829 * * [simplify]: Extracting #2: cost 10 inf + 0 4.829 * * [simplify]: Extracting #3: cost 6 inf + 84 4.829 * * [simplify]: Extracting #4: cost 2 inf + 410 4.830 * * [simplify]: Extracting #5: cost 0 inf + 734 4.830 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.830 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 4.830 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 4.830 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 4.831 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.831 * * [simplify]: iters left: 4 (5 enodes) 4.834 * * [simplify]: iters left: 3 (16 enodes) 4.838 * * [simplify]: Extracting #0: cost 1 inf + 0 4.838 * * [simplify]: Extracting #1: cost 4 inf + 0 4.838 * * [simplify]: Extracting #2: cost 8 inf + 0 4.839 * * [simplify]: Extracting #3: cost 4 inf + 84 4.839 * * [simplify]: Extracting #4: cost 0 inf + 410 4.839 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.839 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 4.839 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 4.840 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 4.840 * * [simplify]: iters left: 6 (11 enodes) 4.846 * * [simplify]: iters left: 5 (49 enodes) 4.869 * * [simplify]: iters left: 4 (105 enodes) 4.895 * * [simplify]: iters left: 3 (201 enodes) 4.953 * * [simplify]: iters left: 2 (396 enodes) 5.084 * * [simplify]: Extracting #0: cost 1 inf + 0 5.084 * * [simplify]: Extracting #1: cost 4 inf + 0 5.084 * * [simplify]: Extracting #2: cost 8 inf + 0 5.084 * * [simplify]: Extracting #3: cost 61 inf + 0 5.085 * * [simplify]: Extracting #4: cost 157 inf + 671 5.088 * * [simplify]: Extracting #5: cost 129 inf + 10255 5.095 * * [simplify]: Extracting #6: cost 39 inf + 44338 5.105 * * [simplify]: Extracting #7: cost 2 inf + 59267 5.120 * * [simplify]: Extracting #8: cost 0 inf + 60033 5.130 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 5.131 * [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 (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 5.131 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 5.132 * * [simplify]: iters left: 6 (12 enodes) 5.138 * * [simplify]: iters left: 5 (56 enodes) 5.160 * * [simplify]: iters left: 4 (124 enodes) 5.191 * * [simplify]: iters left: 3 (239 enodes) 5.246 * * [simplify]: iters left: 2 (372 enodes) 5.396 * * [simplify]: Extracting #0: cost 1 inf + 0 5.396 * * [simplify]: Extracting #1: cost 4 inf + 0 5.396 * * [simplify]: Extracting #2: cost 24 inf + 0 5.397 * * [simplify]: Extracting #3: cost 150 inf + 0 5.399 * * [simplify]: Extracting #4: cost 210 inf + 1501 5.408 * * [simplify]: Extracting #5: cost 96 inf + 17493 5.421 * * [simplify]: Extracting #6: cost 7 inf + 34019 5.436 * * [simplify]: Extracting #7: cost 0 inf + 35684 5.451 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 5.451 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) re))))) 5.452 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 5.452 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 5.452 * * [simplify]: iters left: 6 (16 enodes) 5.463 * * [simplify]: iters left: 5 (78 enodes) 5.495 * * [simplify]: iters left: 4 (137 enodes) 5.539 * * [simplify]: iters left: 3 (269 enodes) 5.617 * * [simplify]: Extracting #0: cost 1 inf + 0 5.617 * * [simplify]: Extracting #1: cost 4 inf + 0 5.617 * * [simplify]: Extracting #2: cost 8 inf + 0 5.617 * * [simplify]: Extracting #3: cost 12 inf + 0 5.617 * * [simplify]: Extracting #4: cost 33 inf + 0 5.618 * * [simplify]: Extracting #5: cost 109 inf + 0 5.619 * * [simplify]: Extracting #6: cost 133 inf + 2842 5.622 * * [simplify]: Extracting #7: cost 55 inf + 17725 5.626 * * [simplify]: Extracting #8: cost 11 inf + 28713 5.633 * * [simplify]: Extracting #9: cost 2 inf + 31283 5.638 * * [simplify]: Extracting #10: cost 0 inf + 32038 5.643 * [simplify]: Simplified to (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) 5.643 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 5.643 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 5.643 * * [simplify]: iters left: 6 (15 enodes) 5.648 * * [simplify]: iters left: 5 (73 enodes) 5.673 * * [simplify]: iters left: 4 (150 enodes) 5.708 * * [simplify]: iters left: 3 (266 enodes) 5.819 * * [simplify]: iters left: 2 (413 enodes) 6.013 * * [simplify]: Extracting #0: cost 1 inf + 0 6.013 * * [simplify]: Extracting #1: cost 4 inf + 0 6.013 * * [simplify]: Extracting #2: cost 8 inf + 0 6.013 * * [simplify]: Extracting #3: cost 12 inf + 0 6.013 * * [simplify]: Extracting #4: cost 70 inf + 0 6.015 * * [simplify]: Extracting #5: cost 212 inf + 0 6.018 * * [simplify]: Extracting #6: cost 209 inf + 6579 6.030 * * [simplify]: Extracting #7: cost 60 inf + 31165 6.048 * * [simplify]: Extracting #8: cost 1 inf + 42945 6.066 * * [simplify]: Extracting #9: cost 0 inf + 43408 6.078 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) 6.078 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 6.078 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 6.078 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 6.078 * * [simplify]: iters left: 6 (16 enodes) 6.084 * * [simplify]: iters left: 5 (78 enodes) 6.102 * * [simplify]: iters left: 4 (137 enodes) 6.152 * * [simplify]: iters left: 3 (272 enodes) 6.244 * * [simplify]: Extracting #0: cost 1 inf + 0 6.245 * * [simplify]: Extracting #1: cost 4 inf + 0 6.245 * * [simplify]: Extracting #2: cost 8 inf + 0 6.245 * * [simplify]: Extracting #3: cost 12 inf + 0 6.245 * * [simplify]: Extracting #4: cost 33 inf + 0 6.245 * * [simplify]: Extracting #5: cost 109 inf + 0 6.247 * * [simplify]: Extracting #6: cost 133 inf + 1786 6.252 * * [simplify]: Extracting #7: cost 54 inf + 15909 6.260 * * [simplify]: Extracting #8: cost 26 inf + 23449 6.269 * * [simplify]: Extracting #9: cost 4 inf + 30699 6.278 * * [simplify]: Extracting #10: cost 0 inf + 32460 6.287 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 6.287 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 6.288 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 6.288 * * [simplify]: iters left: 6 (15 enodes) 6.292 * * [simplify]: iters left: 5 (73 enodes) 6.306 * * [simplify]: iters left: 4 (150 enodes) 6.346 * * [simplify]: iters left: 3 (267 enodes) 6.417 * * [simplify]: iters left: 2 (414 enodes) 6.558 * * [simplify]: Extracting #0: cost 1 inf + 0 6.558 * * [simplify]: Extracting #1: cost 4 inf + 0 6.558 * * [simplify]: Extracting #2: cost 8 inf + 0 6.558 * * [simplify]: Extracting #3: cost 12 inf + 0 6.558 * * [simplify]: Extracting #4: cost 70 inf + 0 6.560 * * [simplify]: Extracting #5: cost 212 inf + 0 6.563 * * [simplify]: Extracting #6: cost 218 inf + 6401 6.575 * * [simplify]: Extracting #7: cost 87 inf + 25379 6.592 * * [simplify]: Extracting #8: cost 3 inf + 42502 6.610 * * [simplify]: Extracting #9: cost 0 inf + 43168 6.628 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 6.628 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 6.629 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 6.629 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 6.630 * * [simplify]: iters left: 6 (10 enodes) 6.635 * * [simplify]: iters left: 5 (41 enodes) 6.648 * * [simplify]: iters left: 4 (72 enodes) 6.661 * * [simplify]: iters left: 3 (128 enodes) 6.703 * * [simplify]: iters left: 2 (283 enodes) 6.845 * * [simplify]: Extracting #0: cost 1 inf + 0 6.845 * * [simplify]: Extracting #1: cost 4 inf + 0 6.846 * * [simplify]: Extracting #2: cost 52 inf + 0 6.846 * * [simplify]: Extracting #3: cost 152 inf + 0 6.848 * * [simplify]: Extracting #4: cost 199 inf + 535 6.851 * * [simplify]: Extracting #5: cost 161 inf + 5103 6.863 * * [simplify]: Extracting #6: cost 30 inf + 30852 6.878 * * [simplify]: Extracting #7: cost 0 inf + 36613 6.893 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.893 * [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 (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 6.894 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) 6.894 * * [simplify]: iters left: 6 (8 enodes) 6.898 * * [simplify]: iters left: 5 (27 enodes) 6.906 * * [simplify]: iters left: 4 (41 enodes) 6.918 * * [simplify]: iters left: 3 (58 enodes) 6.937 * * [simplify]: iters left: 2 (99 enodes) 6.964 * * [simplify]: iters left: 1 (182 enodes) 6.995 * * [simplify]: Extracting #0: cost 1 inf + 0 6.995 * * [simplify]: Extracting #1: cost 4 inf + 0 6.995 * * [simplify]: Extracting #2: cost 25 inf + 0 6.995 * * [simplify]: Extracting #3: cost 59 inf + 0 6.995 * * [simplify]: Extracting #4: cost 51 inf + 412 6.996 * * [simplify]: Extracting #5: cost 18 inf + 3835 6.998 * * [simplify]: Extracting #6: cost 1 inf + 6149 7.000 * * [simplify]: Extracting #7: cost 0 inf + 6351 7.002 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 7.002 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 7.002 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 7.002 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 7.003 * [simplify]: Simplifying (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 7.003 * * [simplify]: iters left: 6 (10 enodes) 7.007 * * [simplify]: iters left: 5 (35 enodes) 7.018 * * [simplify]: iters left: 4 (39 enodes) 7.031 * * [simplify]: iters left: 3 (50 enodes) 7.048 * * [simplify]: iters left: 2 (74 enodes) 7.078 * * [simplify]: iters left: 1 (122 enodes) 7.124 * * [simplify]: Extracting #0: cost 1 inf + 0 7.124 * * [simplify]: Extracting #1: cost 13 inf + 0 7.124 * * [simplify]: Extracting #2: cost 40 inf + 1 7.124 * * [simplify]: Extracting #3: cost 40 inf + 7 7.125 * * [simplify]: Extracting #4: cost 42 inf + 9 7.125 * * [simplify]: Extracting #5: cost 45 inf + 10 7.125 * * [simplify]: Extracting #6: cost 41 inf + 94 7.126 * * [simplify]: Extracting #7: cost 35 inf + 744 7.126 * * [simplify]: Extracting #8: cost 31 inf + 1752 7.129 * * [simplify]: Extracting #9: cost 12 inf + 11228 7.135 * * [simplify]: Extracting #10: cost 2 inf + 18297 7.140 * * [simplify]: Extracting #11: cost 0 inf + 19785 7.146 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.146 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.147 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.147 * * [simplify]: iters left: 6 (9 enodes) 7.151 * * [simplify]: iters left: 5 (28 enodes) 7.159 * * [simplify]: Extracting #0: cost 1 inf + 0 7.159 * * [simplify]: Extracting #1: cost 3 inf + 0 7.159 * * [simplify]: Extracting #2: cost 5 inf + 0 7.159 * * [simplify]: Extracting #3: cost 7 inf + 0 7.159 * * [simplify]: Extracting #4: cost 9 inf + 0 7.159 * * [simplify]: Extracting #5: cost 12 inf + 0 7.159 * * [simplify]: Extracting #6: cost 16 inf + 0 7.159 * * [simplify]: Extracting #7: cost 12 inf + 84 7.159 * * [simplify]: Extracting #8: cost 10 inf + 166 7.159 * * [simplify]: Extracting #9: cost 7 inf + 572 7.160 * * [simplify]: Extracting #10: cost 4 inf + 1218 7.160 * * [simplify]: Extracting #11: cost 1 inf + 2024 7.160 * * [simplify]: Extracting #12: cost 0 inf + 2346 7.161 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.161 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.161 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 7.161 * [simplify]: Simplifying (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 7.161 * * [simplify]: iters left: 6 (10 enodes) 7.164 * * [simplify]: iters left: 5 (30 enodes) 7.168 * * [simplify]: iters left: 4 (31 enodes) 7.172 * * [simplify]: Extracting #0: cost 1 inf + 0 7.172 * * [simplify]: Extracting #1: cost 4 inf + 0 7.172 * * [simplify]: Extracting #2: cost 7 inf + 0 7.172 * * [simplify]: Extracting #3: cost 9 inf + 0 7.172 * * [simplify]: Extracting #4: cost 12 inf + 0 7.172 * * [simplify]: Extracting #5: cost 16 inf + 0 7.172 * * [simplify]: Extracting #6: cost 12 inf + 84 7.172 * * [simplify]: Extracting #7: cost 10 inf + 166 7.173 * * [simplify]: Extracting #8: cost 8 inf + 450 7.173 * * [simplify]: Extracting #9: cost 3 inf + 1540 7.173 * * [simplify]: Extracting #10: cost 0 inf + 2346 7.174 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 7.174 * [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))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.174 * [simplify]: Simplifying (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 7.174 * * [simplify]: iters left: 6 (9 enodes) 7.176 * * [simplify]: iters left: 5 (26 enodes) 7.180 * * [simplify]: iters left: 4 (27 enodes) 7.184 * * [simplify]: Extracting #0: cost 1 inf + 0 7.184 * * [simplify]: Extracting #1: cost 4 inf + 0 7.184 * * [simplify]: Extracting #2: cost 7 inf + 0 7.184 * * [simplify]: Extracting #3: cost 10 inf + 0 7.184 * * [simplify]: Extracting #4: cost 14 inf + 0 7.184 * * [simplify]: Extracting #5: cost 10 inf + 84 7.184 * * [simplify]: Extracting #6: cost 8 inf + 166 7.184 * * [simplify]: Extracting #7: cost 5 inf + 572 7.184 * * [simplify]: Extracting #8: cost 2 inf + 1258 7.184 * * [simplify]: Extracting #9: cost 0 inf + 1782 7.185 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 7.185 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 7.185 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 7.185 * [simplify]: Simplifying (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 7.185 * * [simplify]: iters left: 6 (10 enodes) 7.189 * * [simplify]: iters left: 5 (30 enodes) 7.196 * * [simplify]: iters left: 4 (31 enodes) 7.204 * * [simplify]: Extracting #0: cost 1 inf + 0 7.204 * * [simplify]: Extracting #1: cost 5 inf + 0 7.204 * * [simplify]: Extracting #2: cost 9 inf + 0 7.204 * * [simplify]: Extracting #3: cost 12 inf + 0 7.204 * * [simplify]: Extracting #4: cost 16 inf + 0 7.205 * * [simplify]: Extracting #5: cost 12 inf + 84 7.205 * * [simplify]: Extracting #6: cost 10 inf + 166 7.205 * * [simplify]: Extracting #7: cost 7 inf + 732 7.206 * * [simplify]: Extracting #8: cost 2 inf + 1822 7.206 * * [simplify]: Extracting #9: cost 0 inf + 2346 7.207 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 7.207 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 7.208 * [simplify]: Simplifying (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 7.208 * * [simplify]: iters left: 6 (9 enodes) 7.212 * * [simplify]: iters left: 5 (26 enodes) 7.219 * * [simplify]: iters left: 4 (27 enodes) 7.222 * * [simplify]: Extracting #0: cost 1 inf + 0 7.223 * * [simplify]: Extracting #1: cost 4 inf + 0 7.223 * * [simplify]: Extracting #2: cost 7 inf + 0 7.223 * * [simplify]: Extracting #3: cost 10 inf + 0 7.223 * * [simplify]: Extracting #4: cost 14 inf + 0 7.223 * * [simplify]: Extracting #5: cost 10 inf + 84 7.223 * * [simplify]: Extracting #6: cost 8 inf + 166 7.223 * * [simplify]: Extracting #7: cost 5 inf + 612 7.223 * * [simplify]: Extracting #8: cost 2 inf + 1338 7.224 * * [simplify]: Extracting #9: cost 0 inf + 1862 7.224 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 7.224 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 7.224 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 7.224 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.224 * * [simplify]: iters left: 6 (9 enodes) 7.226 * * [simplify]: iters left: 5 (26 enodes) 7.230 * * [simplify]: iters left: 4 (27 enodes) 7.234 * * [simplify]: Extracting #0: cost 1 inf + 0 7.234 * * [simplify]: Extracting #1: cost 4 inf + 0 7.234 * * [simplify]: Extracting #2: cost 7 inf + 0 7.234 * * [simplify]: Extracting #3: cost 10 inf + 0 7.234 * * [simplify]: Extracting #4: cost 14 inf + 0 7.235 * * [simplify]: Extracting #5: cost 10 inf + 84 7.235 * * [simplify]: Extracting #6: cost 8 inf + 166 7.235 * * [simplify]: Extracting #7: cost 5 inf + 572 7.235 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.235 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.236 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.236 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.236 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.236 * * [simplify]: iters left: 6 (9 enodes) 7.238 * * [simplify]: iters left: 5 (26 enodes) 7.242 * * [simplify]: iters left: 4 (27 enodes) 7.245 * * [simplify]: Extracting #0: cost 1 inf + 0 7.245 * * [simplify]: Extracting #1: cost 4 inf + 0 7.245 * * [simplify]: Extracting #2: cost 7 inf + 0 7.245 * * [simplify]: Extracting #3: cost 10 inf + 0 7.245 * * [simplify]: Extracting #4: cost 14 inf + 0 7.245 * * [simplify]: Extracting #5: cost 10 inf + 84 7.246 * * [simplify]: Extracting #6: cost 8 inf + 166 7.246 * * [simplify]: Extracting #7: cost 5 inf + 572 7.246 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.246 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.246 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.246 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.247 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 7.247 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.247 * * [simplify]: iters left: 6 (9 enodes) 7.249 * * [simplify]: iters left: 5 (26 enodes) 7.253 * * [simplify]: iters left: 4 (27 enodes) 7.256 * * [simplify]: Extracting #0: cost 1 inf + 0 7.256 * * [simplify]: Extracting #1: cost 4 inf + 0 7.256 * * [simplify]: Extracting #2: cost 7 inf + 0 7.256 * * [simplify]: Extracting #3: cost 10 inf + 0 7.256 * * [simplify]: Extracting #4: cost 14 inf + 0 7.256 * * [simplify]: Extracting #5: cost 10 inf + 84 7.256 * * [simplify]: Extracting #6: cost 8 inf + 166 7.257 * * [simplify]: Extracting #7: cost 5 inf + 572 7.257 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.257 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.257 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.257 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.258 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.258 * * [simplify]: iters left: 6 (9 enodes) 7.260 * * [simplify]: iters left: 5 (26 enodes) 7.263 * * [simplify]: iters left: 4 (27 enodes) 7.267 * * [simplify]: Extracting #0: cost 1 inf + 0 7.267 * * [simplify]: Extracting #1: cost 4 inf + 0 7.267 * * [simplify]: Extracting #2: cost 7 inf + 0 7.267 * * [simplify]: Extracting #3: cost 10 inf + 0 7.267 * * [simplify]: Extracting #4: cost 14 inf + 0 7.268 * * [simplify]: Extracting #5: cost 10 inf + 84 7.268 * * [simplify]: Extracting #6: cost 8 inf + 166 7.268 * * [simplify]: Extracting #7: cost 5 inf + 572 7.268 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.268 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.269 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.269 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.269 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 7.269 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.269 * * [simplify]: iters left: 6 (9 enodes) 7.271 * * [simplify]: iters left: 5 (26 enodes) 7.275 * * [simplify]: iters left: 4 (27 enodes) 7.278 * * [simplify]: Extracting #0: cost 1 inf + 0 7.279 * * [simplify]: Extracting #1: cost 4 inf + 0 7.279 * * [simplify]: Extracting #2: cost 7 inf + 0 7.279 * * [simplify]: Extracting #3: cost 10 inf + 0 7.279 * * [simplify]: Extracting #4: cost 14 inf + 0 7.279 * * [simplify]: Extracting #5: cost 10 inf + 84 7.279 * * [simplify]: Extracting #6: cost 8 inf + 166 7.279 * * [simplify]: Extracting #7: cost 5 inf + 572 7.279 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.279 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.280 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.280 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.280 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.280 * * [simplify]: iters left: 6 (9 enodes) 7.282 * * [simplify]: iters left: 5 (26 enodes) 7.287 * * [simplify]: iters left: 4 (27 enodes) 7.291 * * [simplify]: Extracting #0: cost 1 inf + 0 7.291 * * [simplify]: Extracting #1: cost 4 inf + 0 7.291 * * [simplify]: Extracting #2: cost 7 inf + 0 7.291 * * [simplify]: Extracting #3: cost 10 inf + 0 7.291 * * [simplify]: Extracting #4: cost 14 inf + 0 7.291 * * [simplify]: Extracting #5: cost 10 inf + 84 7.291 * * [simplify]: Extracting #6: cost 8 inf + 166 7.291 * * [simplify]: Extracting #7: cost 5 inf + 572 7.291 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.292 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.292 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.292 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.292 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 7.292 * [simplify]: Simplifying (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) 7.292 * * [simplify]: iters left: 4 (4 enodes) 7.296 * * [simplify]: iters left: 3 (12 enodes) 7.298 * * [simplify]: iters left: 2 (14 enodes) 7.300 * * [simplify]: Extracting #0: cost 1 inf + 0 7.300 * * [simplify]: Extracting #1: cost 0 inf + 1 7.300 * [simplify]: Simplified to 1 7.300 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.300 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 7.300 * * [simplify]: iters left: 6 (8 enodes) 7.302 * * [simplify]: iters left: 5 (23 enodes) 7.305 * * [simplify]: iters left: 4 (24 enodes) 7.309 * * [simplify]: Extracting #0: cost 1 inf + 0 7.309 * * [simplify]: Extracting #1: cost 4 inf + 0 7.309 * * [simplify]: Extracting #2: cost 8 inf + 0 7.309 * * [simplify]: Extracting #3: cost 12 inf + 0 7.309 * * [simplify]: Extracting #4: cost 10 inf + 2 7.309 * * [simplify]: Extracting #5: cost 3 inf + 572 7.309 * * [simplify]: Extracting #6: cost 0 inf + 1138 7.309 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.309 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 7.309 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 7.310 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.310 * * [simplify]: iters left: 6 (9 enodes) 7.312 * * [simplify]: iters left: 5 (26 enodes) 7.315 * * [simplify]: iters left: 4 (27 enodes) 7.319 * * [simplify]: Extracting #0: cost 1 inf + 0 7.319 * * [simplify]: Extracting #1: cost 4 inf + 0 7.319 * * [simplify]: Extracting #2: cost 7 inf + 0 7.319 * * [simplify]: Extracting #3: cost 10 inf + 0 7.319 * * [simplify]: Extracting #4: cost 14 inf + 0 7.319 * * [simplify]: Extracting #5: cost 10 inf + 84 7.319 * * [simplify]: Extracting #6: cost 8 inf + 166 7.320 * * [simplify]: Extracting #7: cost 5 inf + 572 7.320 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.320 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.320 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.320 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.321 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.321 * * [simplify]: iters left: 6 (9 enodes) 7.323 * * [simplify]: iters left: 5 (26 enodes) 7.330 * * [simplify]: iters left: 4 (27 enodes) 7.336 * * [simplify]: Extracting #0: cost 1 inf + 0 7.337 * * [simplify]: Extracting #1: cost 4 inf + 0 7.337 * * [simplify]: Extracting #2: cost 7 inf + 0 7.337 * * [simplify]: Extracting #3: cost 10 inf + 0 7.337 * * [simplify]: Extracting #4: cost 14 inf + 0 7.337 * * [simplify]: Extracting #5: cost 10 inf + 84 7.337 * * [simplify]: Extracting #6: cost 8 inf + 166 7.337 * * [simplify]: Extracting #7: cost 5 inf + 572 7.338 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.338 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.339 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.339 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.339 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 7.340 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.340 * * [simplify]: iters left: 6 (9 enodes) 7.344 * * [simplify]: iters left: 5 (26 enodes) 7.351 * * [simplify]: iters left: 4 (27 enodes) 7.359 * * [simplify]: Extracting #0: cost 1 inf + 0 7.359 * * [simplify]: Extracting #1: cost 4 inf + 0 7.359 * * [simplify]: Extracting #2: cost 7 inf + 0 7.359 * * [simplify]: Extracting #3: cost 10 inf + 0 7.359 * * [simplify]: Extracting #4: cost 14 inf + 0 7.359 * * [simplify]: Extracting #5: cost 10 inf + 84 7.359 * * [simplify]: Extracting #6: cost 8 inf + 166 7.359 * * [simplify]: Extracting #7: cost 5 inf + 572 7.360 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.360 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.361 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.361 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.361 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.362 * * [simplify]: iters left: 6 (9 enodes) 7.365 * * [simplify]: iters left: 5 (26 enodes) 7.372 * * [simplify]: iters left: 4 (27 enodes) 7.380 * * [simplify]: Extracting #0: cost 1 inf + 0 7.380 * * [simplify]: Extracting #1: cost 4 inf + 0 7.380 * * [simplify]: Extracting #2: cost 7 inf + 0 7.380 * * [simplify]: Extracting #3: cost 10 inf + 0 7.380 * * [simplify]: Extracting #4: cost 14 inf + 0 7.380 * * [simplify]: Extracting #5: cost 10 inf + 84 7.380 * * [simplify]: Extracting #6: cost 8 inf + 166 7.380 * * [simplify]: Extracting #7: cost 5 inf + 572 7.380 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.380 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.381 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.381 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.381 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 7.381 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.381 * * [simplify]: iters left: 6 (9 enodes) 7.383 * * [simplify]: iters left: 5 (26 enodes) 7.387 * * [simplify]: iters left: 4 (27 enodes) 7.390 * * [simplify]: Extracting #0: cost 1 inf + 0 7.390 * * [simplify]: Extracting #1: cost 4 inf + 0 7.390 * * [simplify]: Extracting #2: cost 7 inf + 0 7.390 * * [simplify]: Extracting #3: cost 10 inf + 0 7.390 * * [simplify]: Extracting #4: cost 14 inf + 0 7.391 * * [simplify]: Extracting #5: cost 10 inf + 84 7.391 * * [simplify]: Extracting #6: cost 8 inf + 166 7.391 * * [simplify]: Extracting #7: cost 5 inf + 572 7.391 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.391 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.392 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.392 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.392 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.392 * * [simplify]: iters left: 6 (9 enodes) 7.396 * * [simplify]: iters left: 5 (26 enodes) 7.399 * * [simplify]: iters left: 4 (27 enodes) 7.403 * * [simplify]: Extracting #0: cost 1 inf + 0 7.403 * * [simplify]: Extracting #1: cost 4 inf + 0 7.403 * * [simplify]: Extracting #2: cost 7 inf + 0 7.403 * * [simplify]: Extracting #3: cost 10 inf + 0 7.403 * * [simplify]: Extracting #4: cost 14 inf + 0 7.403 * * [simplify]: Extracting #5: cost 10 inf + 84 7.403 * * [simplify]: Extracting #6: cost 8 inf + 166 7.403 * * [simplify]: Extracting #7: cost 5 inf + 572 7.404 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.404 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.404 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.404 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.404 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 7.405 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 7.405 * * [simplify]: iters left: 3 (3 enodes) 7.407 * * [simplify]: iters left: 2 (9 enodes) 7.408 * * [simplify]: iters left: 1 (11 enodes) 7.410 * * [simplify]: Extracting #0: cost 1 inf + 0 7.410 * * [simplify]: Extracting #1: cost 0 inf + 1 7.410 * [simplify]: Simplified to 1 7.410 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.410 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 7.410 * * [simplify]: iters left: 6 (8 enodes) 7.413 * * [simplify]: iters left: 5 (23 enodes) 7.420 * * [simplify]: iters left: 4 (24 enodes) 7.425 * * [simplify]: Extracting #0: cost 1 inf + 0 7.425 * * [simplify]: Extracting #1: cost 4 inf + 0 7.425 * * [simplify]: Extracting #2: cost 8 inf + 0 7.425 * * [simplify]: Extracting #3: cost 12 inf + 0 7.425 * * [simplify]: Extracting #4: cost 10 inf + 2 7.425 * * [simplify]: Extracting #5: cost 3 inf + 572 7.425 * * [simplify]: Extracting #6: cost 0 inf + 1138 7.425 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.425 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 7.426 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 7.426 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.426 * * [simplify]: iters left: 6 (9 enodes) 7.428 * * [simplify]: iters left: 5 (26 enodes) 7.432 * * [simplify]: iters left: 4 (27 enodes) 7.435 * * [simplify]: Extracting #0: cost 1 inf + 0 7.435 * * [simplify]: Extracting #1: cost 4 inf + 0 7.435 * * [simplify]: Extracting #2: cost 7 inf + 0 7.435 * * [simplify]: Extracting #3: cost 10 inf + 0 7.436 * * [simplify]: Extracting #4: cost 14 inf + 0 7.436 * * [simplify]: Extracting #5: cost 10 inf + 84 7.436 * * [simplify]: Extracting #6: cost 8 inf + 166 7.436 * * [simplify]: Extracting #7: cost 5 inf + 572 7.436 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.436 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.437 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.437 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.437 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.437 * * [simplify]: iters left: 6 (9 enodes) 7.439 * * [simplify]: iters left: 5 (26 enodes) 7.443 * * [simplify]: iters left: 4 (27 enodes) 7.447 * * [simplify]: Extracting #0: cost 1 inf + 0 7.447 * * [simplify]: Extracting #1: cost 4 inf + 0 7.447 * * [simplify]: Extracting #2: cost 7 inf + 0 7.447 * * [simplify]: Extracting #3: cost 10 inf + 0 7.447 * * [simplify]: Extracting #4: cost 14 inf + 0 7.447 * * [simplify]: Extracting #5: cost 10 inf + 84 7.447 * * [simplify]: Extracting #6: cost 8 inf + 166 7.447 * * [simplify]: Extracting #7: cost 5 inf + 572 7.448 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.448 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.448 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.448 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.449 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 7.449 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.449 * * [simplify]: iters left: 6 (9 enodes) 7.451 * * [simplify]: iters left: 5 (26 enodes) 7.454 * * [simplify]: iters left: 4 (27 enodes) 7.458 * * [simplify]: Extracting #0: cost 1 inf + 0 7.458 * * [simplify]: Extracting #1: cost 4 inf + 0 7.458 * * [simplify]: Extracting #2: cost 7 inf + 0 7.458 * * [simplify]: Extracting #3: cost 10 inf + 0 7.458 * * [simplify]: Extracting #4: cost 14 inf + 0 7.458 * * [simplify]: Extracting #5: cost 10 inf + 84 7.458 * * [simplify]: Extracting #6: cost 8 inf + 166 7.459 * * [simplify]: Extracting #7: cost 5 inf + 572 7.459 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.459 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.459 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.459 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.460 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.460 * * [simplify]: iters left: 6 (9 enodes) 7.462 * * [simplify]: iters left: 5 (26 enodes) 7.466 * * [simplify]: iters left: 4 (27 enodes) 7.469 * * [simplify]: Extracting #0: cost 1 inf + 0 7.469 * * [simplify]: Extracting #1: cost 4 inf + 0 7.469 * * [simplify]: Extracting #2: cost 7 inf + 0 7.469 * * [simplify]: Extracting #3: cost 10 inf + 0 7.470 * * [simplify]: Extracting #4: cost 14 inf + 0 7.470 * * [simplify]: Extracting #5: cost 10 inf + 84 7.470 * * [simplify]: Extracting #6: cost 8 inf + 166 7.470 * * [simplify]: Extracting #7: cost 5 inf + 572 7.470 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.470 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.471 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.471 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.471 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 7.471 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.471 * * [simplify]: iters left: 6 (9 enodes) 7.473 * * [simplify]: iters left: 5 (26 enodes) 7.477 * * [simplify]: iters left: 4 (27 enodes) 7.480 * * [simplify]: Extracting #0: cost 1 inf + 0 7.480 * * [simplify]: Extracting #1: cost 4 inf + 0 7.480 * * [simplify]: Extracting #2: cost 7 inf + 0 7.480 * * [simplify]: Extracting #3: cost 10 inf + 0 7.480 * * [simplify]: Extracting #4: cost 14 inf + 0 7.481 * * [simplify]: Extracting #5: cost 10 inf + 84 7.481 * * [simplify]: Extracting #6: cost 8 inf + 166 7.481 * * [simplify]: Extracting #7: cost 5 inf + 572 7.481 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.481 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.482 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.482 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.482 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.482 * * [simplify]: iters left: 6 (9 enodes) 7.485 * * [simplify]: iters left: 5 (26 enodes) 7.489 * * [simplify]: iters left: 4 (27 enodes) 7.494 * * [simplify]: Extracting #0: cost 1 inf + 0 7.494 * * [simplify]: Extracting #1: cost 4 inf + 0 7.494 * * [simplify]: Extracting #2: cost 7 inf + 0 7.494 * * [simplify]: Extracting #3: cost 10 inf + 0 7.494 * * [simplify]: Extracting #4: cost 14 inf + 0 7.494 * * [simplify]: Extracting #5: cost 10 inf + 84 7.495 * * [simplify]: Extracting #6: cost 8 inf + 166 7.495 * * [simplify]: Extracting #7: cost 5 inf + 572 7.495 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.496 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.496 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.497 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.497 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 7.497 * [simplify]: Simplifying (* 1 1) 7.497 * * [simplify]: iters left: 2 (2 enodes) 7.499 * * [simplify]: iters left: 1 (6 enodes) 7.501 * * [simplify]: Extracting #0: cost 1 inf + 0 7.501 * * [simplify]: Extracting #1: cost 0 inf + 1 7.501 * [simplify]: Simplified to 1 7.501 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.502 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 7.502 * * [simplify]: iters left: 6 (8 enodes) 7.505 * * [simplify]: iters left: 5 (23 enodes) 7.511 * * [simplify]: iters left: 4 (24 enodes) 7.518 * * [simplify]: Extracting #0: cost 1 inf + 0 7.518 * * [simplify]: Extracting #1: cost 4 inf + 0 7.518 * * [simplify]: Extracting #2: cost 8 inf + 0 7.518 * * [simplify]: Extracting #3: cost 12 inf + 0 7.518 * * [simplify]: Extracting #4: cost 10 inf + 2 7.518 * * [simplify]: Extracting #5: cost 3 inf + 572 7.519 * * [simplify]: Extracting #6: cost 0 inf + 1138 7.519 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.519 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 7.519 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 7.520 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.520 * * [simplify]: iters left: 6 (9 enodes) 7.524 * * [simplify]: iters left: 5 (26 enodes) 7.531 * * [simplify]: iters left: 4 (27 enodes) 7.538 * * [simplify]: Extracting #0: cost 1 inf + 0 7.538 * * [simplify]: Extracting #1: cost 4 inf + 0 7.538 * * [simplify]: Extracting #2: cost 7 inf + 0 7.538 * * [simplify]: Extracting #3: cost 10 inf + 0 7.538 * * [simplify]: Extracting #4: cost 14 inf + 0 7.539 * * [simplify]: Extracting #5: cost 10 inf + 84 7.539 * * [simplify]: Extracting #6: cost 8 inf + 166 7.539 * * [simplify]: Extracting #7: cost 5 inf + 572 7.539 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.540 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.541 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.541 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.541 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.541 * * [simplify]: iters left: 6 (9 enodes) 7.545 * * [simplify]: iters left: 5 (26 enodes) 7.553 * * [simplify]: iters left: 4 (27 enodes) 7.560 * * [simplify]: Extracting #0: cost 1 inf + 0 7.560 * * [simplify]: Extracting #1: cost 4 inf + 0 7.560 * * [simplify]: Extracting #2: cost 7 inf + 0 7.560 * * [simplify]: Extracting #3: cost 10 inf + 0 7.560 * * [simplify]: Extracting #4: cost 14 inf + 0 7.560 * * [simplify]: Extracting #5: cost 10 inf + 84 7.560 * * [simplify]: Extracting #6: cost 8 inf + 166 7.560 * * [simplify]: Extracting #7: cost 5 inf + 572 7.561 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.561 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.562 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.562 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.562 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 7.563 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.563 * * [simplify]: iters left: 6 (9 enodes) 7.567 * * [simplify]: iters left: 5 (26 enodes) 7.571 * * [simplify]: iters left: 4 (27 enodes) 7.574 * * [simplify]: Extracting #0: cost 1 inf + 0 7.574 * * [simplify]: Extracting #1: cost 4 inf + 0 7.574 * * [simplify]: Extracting #2: cost 7 inf + 0 7.574 * * [simplify]: Extracting #3: cost 10 inf + 0 7.575 * * [simplify]: Extracting #4: cost 14 inf + 0 7.575 * * [simplify]: Extracting #5: cost 10 inf + 84 7.575 * * [simplify]: Extracting #6: cost 8 inf + 166 7.575 * * [simplify]: Extracting #7: cost 5 inf + 572 7.575 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.575 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.576 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.576 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.576 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.576 * * [simplify]: iters left: 6 (9 enodes) 7.578 * * [simplify]: iters left: 5 (26 enodes) 7.582 * * [simplify]: iters left: 4 (27 enodes) 7.585 * * [simplify]: Extracting #0: cost 1 inf + 0 7.585 * * [simplify]: Extracting #1: cost 4 inf + 0 7.585 * * [simplify]: Extracting #2: cost 7 inf + 0 7.585 * * [simplify]: Extracting #3: cost 10 inf + 0 7.585 * * [simplify]: Extracting #4: cost 14 inf + 0 7.585 * * [simplify]: Extracting #5: cost 10 inf + 84 7.585 * * [simplify]: Extracting #6: cost 8 inf + 166 7.586 * * [simplify]: Extracting #7: cost 5 inf + 572 7.586 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.586 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.586 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.586 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.587 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 7.587 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.587 * * [simplify]: iters left: 6 (9 enodes) 7.589 * * [simplify]: iters left: 5 (26 enodes) 7.592 * * [simplify]: iters left: 4 (27 enodes) 7.596 * * [simplify]: Extracting #0: cost 1 inf + 0 7.596 * * [simplify]: Extracting #1: cost 4 inf + 0 7.596 * * [simplify]: Extracting #2: cost 7 inf + 0 7.596 * * [simplify]: Extracting #3: cost 10 inf + 0 7.596 * * [simplify]: Extracting #4: cost 14 inf + 0 7.597 * * [simplify]: Extracting #5: cost 10 inf + 84 7.597 * * [simplify]: Extracting #6: cost 8 inf + 166 7.597 * * [simplify]: Extracting #7: cost 5 inf + 572 7.597 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.597 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.598 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.598 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.598 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.598 * * [simplify]: iters left: 6 (9 enodes) 7.600 * * [simplify]: iters left: 5 (26 enodes) 7.606 * * [simplify]: iters left: 4 (27 enodes) 7.613 * * [simplify]: Extracting #0: cost 1 inf + 0 7.613 * * [simplify]: Extracting #1: cost 4 inf + 0 7.614 * * [simplify]: Extracting #2: cost 7 inf + 0 7.614 * * [simplify]: Extracting #3: cost 10 inf + 0 7.614 * * [simplify]: Extracting #4: cost 14 inf + 0 7.614 * * [simplify]: Extracting #5: cost 10 inf + 84 7.614 * * [simplify]: Extracting #6: cost 8 inf + 166 7.614 * * [simplify]: Extracting #7: cost 5 inf + 572 7.615 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.615 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.616 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.616 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.616 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 7.616 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.616 * * [simplify]: iters left: 6 (9 enodes) 7.620 * * [simplify]: iters left: 5 (26 enodes) 7.628 * * [simplify]: iters left: 4 (27 enodes) 7.635 * * [simplify]: Extracting #0: cost 1 inf + 0 7.635 * * [simplify]: Extracting #1: cost 4 inf + 0 7.635 * * [simplify]: Extracting #2: cost 7 inf + 0 7.635 * * [simplify]: Extracting #3: cost 10 inf + 0 7.635 * * [simplify]: Extracting #4: cost 14 inf + 0 7.635 * * [simplify]: Extracting #5: cost 10 inf + 84 7.636 * * [simplify]: Extracting #6: cost 8 inf + 166 7.636 * * [simplify]: Extracting #7: cost 5 inf + 572 7.636 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.637 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.638 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.638 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.638 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.638 * * [simplify]: iters left: 6 (9 enodes) 7.642 * * [simplify]: iters left: 5 (26 enodes) 7.649 * * [simplify]: iters left: 4 (27 enodes) 7.656 * * [simplify]: Extracting #0: cost 1 inf + 0 7.656 * * [simplify]: Extracting #1: cost 4 inf + 0 7.657 * * [simplify]: Extracting #2: cost 7 inf + 0 7.657 * * [simplify]: Extracting #3: cost 10 inf + 0 7.657 * * [simplify]: Extracting #4: cost 14 inf + 0 7.657 * * [simplify]: Extracting #5: cost 10 inf + 84 7.657 * * [simplify]: Extracting #6: cost 8 inf + 166 7.657 * * [simplify]: Extracting #7: cost 5 inf + 572 7.658 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.658 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.659 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.659 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.659 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 7.659 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.660 * * [simplify]: iters left: 6 (9 enodes) 7.664 * * [simplify]: iters left: 5 (26 enodes) 7.671 * * [simplify]: iters left: 4 (27 enodes) 7.678 * * [simplify]: Extracting #0: cost 1 inf + 0 7.678 * * [simplify]: Extracting #1: cost 4 inf + 0 7.678 * * [simplify]: Extracting #2: cost 7 inf + 0 7.678 * * [simplify]: Extracting #3: cost 10 inf + 0 7.678 * * [simplify]: Extracting #4: cost 14 inf + 0 7.678 * * [simplify]: Extracting #5: cost 10 inf + 84 7.678 * * [simplify]: Extracting #6: cost 8 inf + 166 7.679 * * [simplify]: Extracting #7: cost 5 inf + 572 7.679 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.680 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.680 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.680 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.681 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.681 * * [simplify]: iters left: 6 (9 enodes) 7.685 * * [simplify]: iters left: 5 (26 enodes) 7.692 * * [simplify]: iters left: 4 (27 enodes) 7.700 * * [simplify]: Extracting #0: cost 1 inf + 0 7.700 * * [simplify]: Extracting #1: cost 4 inf + 0 7.700 * * [simplify]: Extracting #2: cost 7 inf + 0 7.700 * * [simplify]: Extracting #3: cost 10 inf + 0 7.700 * * [simplify]: Extracting #4: cost 14 inf + 0 7.700 * * [simplify]: Extracting #5: cost 10 inf + 84 7.700 * * [simplify]: Extracting #6: cost 8 inf + 166 7.701 * * [simplify]: Extracting #7: cost 5 inf + 572 7.701 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.702 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.702 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.702 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.703 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 7.703 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.703 * * [simplify]: iters left: 6 (9 enodes) 7.707 * * [simplify]: iters left: 5 (26 enodes) 7.714 * * [simplify]: iters left: 4 (27 enodes) 7.722 * * [simplify]: Extracting #0: cost 1 inf + 0 7.722 * * [simplify]: Extracting #1: cost 4 inf + 0 7.722 * * [simplify]: Extracting #2: cost 7 inf + 0 7.722 * * [simplify]: Extracting #3: cost 10 inf + 0 7.722 * * [simplify]: Extracting #4: cost 14 inf + 0 7.722 * * [simplify]: Extracting #5: cost 10 inf + 84 7.722 * * [simplify]: Extracting #6: cost 8 inf + 166 7.722 * * [simplify]: Extracting #7: cost 5 inf + 572 7.723 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.723 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.724 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.724 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.725 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.725 * * [simplify]: iters left: 6 (9 enodes) 7.729 * * [simplify]: iters left: 5 (26 enodes) 7.737 * * [simplify]: iters left: 4 (27 enodes) 7.744 * * [simplify]: Extracting #0: cost 1 inf + 0 7.744 * * [simplify]: Extracting #1: cost 4 inf + 0 7.744 * * [simplify]: Extracting #2: cost 7 inf + 0 7.744 * * [simplify]: Extracting #3: cost 10 inf + 0 7.744 * * [simplify]: Extracting #4: cost 14 inf + 0 7.745 * * [simplify]: Extracting #5: cost 10 inf + 84 7.745 * * [simplify]: Extracting #6: cost 8 inf + 166 7.745 * * [simplify]: Extracting #7: cost 5 inf + 572 7.745 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.746 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.747 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.747 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.747 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 7.747 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.747 * * [simplify]: iters left: 6 (9 enodes) 7.752 * * [simplify]: iters left: 5 (26 enodes) 7.760 * * [simplify]: iters left: 4 (27 enodes) 7.767 * * [simplify]: Extracting #0: cost 1 inf + 0 7.767 * * [simplify]: Extracting #1: cost 4 inf + 0 7.767 * * [simplify]: Extracting #2: cost 7 inf + 0 7.767 * * [simplify]: Extracting #3: cost 10 inf + 0 7.767 * * [simplify]: Extracting #4: cost 14 inf + 0 7.768 * * [simplify]: Extracting #5: cost 10 inf + 84 7.768 * * [simplify]: Extracting #6: cost 8 inf + 166 7.768 * * [simplify]: Extracting #7: cost 5 inf + 572 7.768 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.769 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.770 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.770 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.770 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.770 * * [simplify]: iters left: 6 (9 enodes) 7.774 * * [simplify]: iters left: 5 (26 enodes) 7.782 * * [simplify]: iters left: 4 (27 enodes) 7.789 * * [simplify]: Extracting #0: cost 1 inf + 0 7.789 * * [simplify]: Extracting #1: cost 4 inf + 0 7.789 * * [simplify]: Extracting #2: cost 7 inf + 0 7.789 * * [simplify]: Extracting #3: cost 10 inf + 0 7.789 * * [simplify]: Extracting #4: cost 14 inf + 0 7.789 * * [simplify]: Extracting #5: cost 10 inf + 84 7.789 * * [simplify]: Extracting #6: cost 8 inf + 166 7.789 * * [simplify]: Extracting #7: cost 5 inf + 572 7.790 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.790 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.791 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.791 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.791 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 7.792 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.792 * * [simplify]: iters left: 6 (9 enodes) 7.796 * * [simplify]: iters left: 5 (26 enodes) 7.803 * * [simplify]: iters left: 4 (27 enodes) 7.810 * * [simplify]: Extracting #0: cost 1 inf + 0 7.810 * * [simplify]: Extracting #1: cost 4 inf + 0 7.810 * * [simplify]: Extracting #2: cost 7 inf + 0 7.810 * * [simplify]: Extracting #3: cost 10 inf + 0 7.810 * * [simplify]: Extracting #4: cost 14 inf + 0 7.810 * * [simplify]: Extracting #5: cost 10 inf + 84 7.810 * * [simplify]: Extracting #6: cost 8 inf + 166 7.811 * * [simplify]: Extracting #7: cost 5 inf + 572 7.811 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.812 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.812 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.812 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.813 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.813 * * [simplify]: iters left: 6 (9 enodes) 7.817 * * [simplify]: iters left: 5 (26 enodes) 7.825 * * [simplify]: iters left: 4 (27 enodes) 7.832 * * [simplify]: Extracting #0: cost 1 inf + 0 7.832 * * [simplify]: Extracting #1: cost 4 inf + 0 7.832 * * [simplify]: Extracting #2: cost 7 inf + 0 7.832 * * [simplify]: Extracting #3: cost 10 inf + 0 7.832 * * [simplify]: Extracting #4: cost 14 inf + 0 7.832 * * [simplify]: Extracting #5: cost 10 inf + 84 7.832 * * [simplify]: Extracting #6: cost 8 inf + 166 7.833 * * [simplify]: Extracting #7: cost 5 inf + 572 7.833 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.834 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.834 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.834 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.835 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 7.835 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.835 * * [simplify]: iters left: 6 (9 enodes) 7.839 * * [simplify]: iters left: 5 (26 enodes) 7.846 * * [simplify]: iters left: 4 (27 enodes) 7.854 * * [simplify]: Extracting #0: cost 1 inf + 0 7.854 * * [simplify]: Extracting #1: cost 4 inf + 0 7.854 * * [simplify]: Extracting #2: cost 7 inf + 0 7.854 * * [simplify]: Extracting #3: cost 10 inf + 0 7.854 * * [simplify]: Extracting #4: cost 14 inf + 0 7.854 * * [simplify]: Extracting #5: cost 10 inf + 84 7.854 * * [simplify]: Extracting #6: cost 8 inf + 166 7.854 * * [simplify]: Extracting #7: cost 5 inf + 572 7.855 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.855 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.856 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.856 * [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 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.857 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.857 * * [simplify]: iters left: 6 (9 enodes) 7.861 * * [simplify]: iters left: 5 (26 enodes) 7.868 * * [simplify]: iters left: 4 (27 enodes) 7.875 * * [simplify]: Extracting #0: cost 1 inf + 0 7.875 * * [simplify]: Extracting #1: cost 4 inf + 0 7.876 * * [simplify]: Extracting #2: cost 7 inf + 0 7.876 * * [simplify]: Extracting #3: cost 10 inf + 0 7.876 * * [simplify]: Extracting #4: cost 14 inf + 0 7.876 * * [simplify]: Extracting #5: cost 10 inf + 84 7.876 * * [simplify]: Extracting #6: cost 8 inf + 166 7.876 * * [simplify]: Extracting #7: cost 5 inf + 572 7.877 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.877 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.878 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.878 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.878 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 7.878 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.879 * * [simplify]: iters left: 5 (6 enodes) 7.881 * * [simplify]: iters left: 4 (19 enodes) 7.887 * * [simplify]: Extracting #0: cost 1 inf + 0 7.887 * * [simplify]: Extracting #1: cost 3 inf + 0 7.887 * * [simplify]: Extracting #2: cost 6 inf + 0 7.887 * * [simplify]: Extracting #3: cost 10 inf + 0 7.887 * * [simplify]: Extracting #4: cost 6 inf + 84 7.887 * * [simplify]: Extracting #5: cost 0 inf + 734 7.887 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.888 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re))))) 7.888 * [simplify]: Simplifying (* 2 1/2) 7.888 * * [simplify]: iters left: 2 (3 enodes) 7.892 * * [simplify]: iters left: 1 (11 enodes) 7.895 * * [simplify]: Extracting #0: cost 1 inf + 0 7.895 * * [simplify]: Extracting #1: cost 0 inf + 1 7.895 * [simplify]: Simplified to 1 7.896 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 7.896 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 7.896 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.896 * * [simplify]: iters left: 6 (7 enodes) 7.899 * * [simplify]: iters left: 5 (22 enodes) 7.906 * * [simplify]: Extracting #0: cost 1 inf + 0 7.906 * * [simplify]: Extracting #1: cost 3 inf + 0 7.906 * * [simplify]: Extracting #2: cost 5 inf + 0 7.906 * * [simplify]: Extracting #3: cost 8 inf + 0 7.906 * * [simplify]: Extracting #4: cost 12 inf + 0 7.906 * * [simplify]: Extracting #5: cost 10 inf + 2 7.906 * * [simplify]: Extracting #6: cost 1 inf + 936 7.907 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.907 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.907 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re))))) 7.908 * [simplify]: Simplifying (* 2 1) 7.908 * * [simplify]: iters left: 2 (3 enodes) 7.910 * * [simplify]: iters left: 1 (9 enodes) 7.914 * * [simplify]: Extracting #0: cost 1 inf + 0 7.914 * * [simplify]: Extracting #1: cost 0 inf + 1 7.914 * [simplify]: Simplified to 2 7.914 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 7.914 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 7.914 * [simplify]: Simplifying (+ (* re re) (* im im)) 7.914 * * [simplify]: iters left: 4 (5 enodes) 7.917 * * [simplify]: iters left: 3 (16 enodes) 7.923 * * [simplify]: Extracting #0: cost 1 inf + 0 7.923 * * [simplify]: Extracting #1: cost 4 inf + 0 7.923 * * [simplify]: Extracting #2: cost 8 inf + 0 7.923 * * [simplify]: Extracting #3: cost 4 inf + 84 7.923 * * [simplify]: Extracting #4: cost 0 inf + 410 7.923 * [simplify]: Simplified to (+ (* re re) (* im im)) 7.924 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re))))) 7.924 * [simplify]: Simplifying (* 2 (/ 1/2 2)) 7.924 * * [simplify]: iters left: 4 (4 enodes) 7.929 * * [simplify]: iters left: 3 (17 enodes) 7.931 * * [simplify]: iters left: 2 (21 enodes) 7.935 * * [simplify]: iters left: 1 (23 enodes) 7.938 * * [simplify]: Extracting #0: cost 1 inf + 0 7.938 * * [simplify]: Extracting #1: cost 0 inf + 1 7.938 * [simplify]: Simplified to 1/2 7.938 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 7.938 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 7.938 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.938 * * [simplify]: iters left: 5 (6 enodes) 7.940 * * [simplify]: iters left: 4 (19 enodes) 7.942 * * [simplify]: Extracting #0: cost 1 inf + 0 7.942 * * [simplify]: Extracting #1: cost 3 inf + 0 7.942 * * [simplify]: Extracting #2: cost 6 inf + 0 7.943 * * [simplify]: Extracting #3: cost 10 inf + 0 7.943 * * [simplify]: Extracting #4: cost 6 inf + 84 7.943 * * [simplify]: Extracting #5: cost 0 inf + 734 7.943 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.943 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re))))) 7.943 * [simplify]: Simplifying (* 2 (/ 1 2)) 7.943 * * [simplify]: iters left: 4 (4 enodes) 7.945 * * [simplify]: iters left: 3 (13 enodes) 7.948 * * [simplify]: iters left: 2 (15 enodes) 7.950 * * [simplify]: Extracting #0: cost 1 inf + 0 7.950 * * [simplify]: Extracting #1: cost 0 inf + 1 7.950 * [simplify]: Simplified to 1 7.950 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 7.950 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 7.951 * [simplify]: Simplifying (+ (* re re) (* im im)) 7.951 * * [simplify]: iters left: 4 (5 enodes) 7.952 * * [simplify]: iters left: 3 (16 enodes) 7.954 * * [simplify]: Extracting #0: cost 1 inf + 0 7.954 * * [simplify]: Extracting #1: cost 4 inf + 0 7.954 * * [simplify]: Extracting #2: cost 8 inf + 0 7.954 * * [simplify]: Extracting #3: cost 4 inf + 84 7.954 * * [simplify]: Extracting #4: cost 0 inf + 410 7.954 * [simplify]: Simplified to (+ (* re re) (* im im)) 7.954 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re))))) 7.955 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 7.955 * * [simplify]: iters left: 6 (5 enodes) 7.959 * * [simplify]: iters left: 5 (25 enodes) 7.965 * * [simplify]: iters left: 4 (29 enodes) 7.973 * * [simplify]: Extracting #0: cost 1 inf + 0 7.973 * * [simplify]: Extracting #1: cost 0 inf + 1 7.973 * [simplify]: Simplified to 1/2 7.973 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 7.974 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 7.974 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.974 * * [simplify]: iters left: 6 (8 enodes) 7.977 * * [simplify]: iters left: 5 (25 enodes) 7.984 * * [simplify]: Extracting #0: cost 1 inf + 0 7.984 * * [simplify]: Extracting #1: cost 3 inf + 0 7.984 * * [simplify]: Extracting #2: cost 5 inf + 0 7.984 * * [simplify]: Extracting #3: cost 7 inf + 0 7.984 * * [simplify]: Extracting #4: cost 10 inf + 0 7.984 * * [simplify]: Extracting #5: cost 14 inf + 0 7.985 * * [simplify]: Extracting #6: cost 11 inf + 43 7.985 * * [simplify]: Extracting #7: cost 9 inf + 125 7.985 * * [simplify]: Extracting #8: cost 5 inf + 572 7.985 * * [simplify]: Extracting #9: cost 1 inf + 1420 7.986 * * [simplify]: Extracting #10: cost 0 inf + 1702 7.987 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.987 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.987 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 7.987 * [simplify]: Simplifying (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 7.987 * * [simplify]: iters left: 6 (8 enodes) 7.991 * * [simplify]: iters left: 5 (25 enodes) 7.998 * * [simplify]: Extracting #0: cost 1 inf + 0 7.998 * * [simplify]: Extracting #1: cost 3 inf + 0 7.998 * * [simplify]: Extracting #2: cost 5 inf + 0 7.998 * * [simplify]: Extracting #3: cost 7 inf + 0 7.998 * * [simplify]: Extracting #4: cost 10 inf + 0 7.998 * * [simplify]: Extracting #5: cost 14 inf + 0 7.998 * * [simplify]: Extracting #6: cost 11 inf + 43 7.998 * * [simplify]: Extracting #7: cost 9 inf + 125 7.999 * * [simplify]: Extracting #8: cost 5 inf + 572 7.999 * * [simplify]: Extracting #9: cost 1 inf + 1500 8.000 * * [simplify]: Extracting #10: cost 0 inf + 1782 8.000 * [simplify]: Simplified to (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 8.000 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.001 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 8.001 * [simplify]: Simplifying (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 8.001 * * [simplify]: iters left: 6 (8 enodes) 8.005 * * [simplify]: iters left: 5 (25 enodes) 8.012 * * [simplify]: Extracting #0: cost 1 inf + 0 8.012 * * [simplify]: Extracting #1: cost 3 inf + 0 8.012 * * [simplify]: Extracting #2: cost 5 inf + 0 8.012 * * [simplify]: Extracting #3: cost 7 inf + 0 8.012 * * [simplify]: Extracting #4: cost 10 inf + 0 8.012 * * [simplify]: Extracting #5: cost 14 inf + 0 8.012 * * [simplify]: Extracting #6: cost 11 inf + 43 8.012 * * [simplify]: Extracting #7: cost 9 inf + 125 8.013 * * [simplify]: Extracting #8: cost 5 inf + 612 8.013 * * [simplify]: Extracting #9: cost 1 inf + 1580 8.013 * * [simplify]: Extracting #10: cost 0 inf + 1862 8.014 * [simplify]: Simplified to (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 8.014 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 8.014 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 8.015 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.015 * * [simplify]: iters left: 6 (8 enodes) 8.019 * * [simplify]: iters left: 5 (25 enodes) 8.026 * * [simplify]: Extracting #0: cost 1 inf + 0 8.026 * * [simplify]: Extracting #1: cost 3 inf + 0 8.026 * * [simplify]: Extracting #2: cost 5 inf + 0 8.026 * * [simplify]: Extracting #3: cost 7 inf + 0 8.026 * * [simplify]: Extracting #4: cost 10 inf + 0 8.026 * * [simplify]: Extracting #5: cost 14 inf + 0 8.026 * * [simplify]: Extracting #6: cost 11 inf + 43 8.027 * * [simplify]: Extracting #7: cost 9 inf + 125 8.027 * * [simplify]: Extracting #8: cost 5 inf + 572 8.027 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.028 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.028 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.028 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.029 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 8.029 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.029 * * [simplify]: iters left: 6 (7 enodes) 8.032 * * [simplify]: iters left: 5 (22 enodes) 8.038 * * [simplify]: Extracting #0: cost 1 inf + 0 8.038 * * [simplify]: Extracting #1: cost 3 inf + 0 8.038 * * [simplify]: Extracting #2: cost 5 inf + 0 8.038 * * [simplify]: Extracting #3: cost 8 inf + 0 8.038 * * [simplify]: Extracting #4: cost 12 inf + 0 8.038 * * [simplify]: Extracting #5: cost 10 inf + 2 8.039 * * [simplify]: Extracting #6: cost 1 inf + 936 8.039 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.040 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.040 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.040 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 8.040 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.040 * * [simplify]: iters left: 6 (8 enodes) 8.044 * * [simplify]: iters left: 5 (25 enodes) 8.051 * * [simplify]: Extracting #0: cost 1 inf + 0 8.051 * * [simplify]: Extracting #1: cost 3 inf + 0 8.051 * * [simplify]: Extracting #2: cost 5 inf + 0 8.051 * * [simplify]: Extracting #3: cost 7 inf + 0 8.051 * * [simplify]: Extracting #4: cost 10 inf + 0 8.051 * * [simplify]: Extracting #5: cost 14 inf + 0 8.051 * * [simplify]: Extracting #6: cost 11 inf + 43 8.052 * * [simplify]: Extracting #7: cost 9 inf + 125 8.052 * * [simplify]: Extracting #8: cost 5 inf + 572 8.052 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.053 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.053 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.055 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.056 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 8.056 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.056 * * [simplify]: iters left: 6 (7 enodes) 8.059 * * [simplify]: iters left: 5 (22 enodes) 8.065 * * [simplify]: Extracting #0: cost 1 inf + 0 8.065 * * [simplify]: Extracting #1: cost 3 inf + 0 8.065 * * [simplify]: Extracting #2: cost 5 inf + 0 8.065 * * [simplify]: Extracting #3: cost 8 inf + 0 8.066 * * [simplify]: Extracting #4: cost 12 inf + 0 8.066 * * [simplify]: Extracting #5: cost 10 inf + 2 8.066 * * [simplify]: Extracting #6: cost 1 inf + 936 8.066 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.067 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.067 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.067 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 8.067 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.067 * * [simplify]: iters left: 6 (8 enodes) 8.071 * * [simplify]: iters left: 5 (25 enodes) 8.078 * * [simplify]: Extracting #0: cost 1 inf + 0 8.078 * * [simplify]: Extracting #1: cost 3 inf + 0 8.078 * * [simplify]: Extracting #2: cost 5 inf + 0 8.078 * * [simplify]: Extracting #3: cost 7 inf + 0 8.078 * * [simplify]: Extracting #4: cost 10 inf + 0 8.078 * * [simplify]: Extracting #5: cost 14 inf + 0 8.078 * * [simplify]: Extracting #6: cost 11 inf + 43 8.078 * * [simplify]: Extracting #7: cost 9 inf + 125 8.079 * * [simplify]: Extracting #8: cost 5 inf + 572 8.079 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.080 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.080 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.080 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.081 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 8.081 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 8.081 * * [simplify]: iters left: 6 (7 enodes) 8.084 * * [simplify]: iters left: 5 (22 enodes) 8.090 * * [simplify]: Extracting #0: cost 1 inf + 0 8.090 * * [simplify]: Extracting #1: cost 3 inf + 0 8.090 * * [simplify]: Extracting #2: cost 5 inf + 0 8.090 * * [simplify]: Extracting #3: cost 8 inf + 0 8.090 * * [simplify]: Extracting #4: cost 12 inf + 0 8.091 * * [simplify]: Extracting #5: cost 10 inf + 2 8.091 * * [simplify]: Extracting #6: cost 1 inf + 936 8.091 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.092 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.092 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.092 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 8.092 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.092 * * [simplify]: iters left: 6 (9 enodes) 8.096 * * [simplify]: iters left: 5 (28 enodes) 8.105 * * [simplify]: Extracting #0: cost 1 inf + 0 8.105 * * [simplify]: Extracting #1: cost 3 inf + 0 8.105 * * [simplify]: Extracting #2: cost 5 inf + 0 8.105 * * [simplify]: Extracting #3: cost 7 inf + 0 8.105 * * [simplify]: Extracting #4: cost 9 inf + 0 8.105 * * [simplify]: Extracting #5: cost 12 inf + 0 8.105 * * [simplify]: Extracting #6: cost 16 inf + 0 8.105 * * [simplify]: Extracting #7: cost 12 inf + 84 8.105 * * [simplify]: Extracting #8: cost 10 inf + 166 8.105 * * [simplify]: Extracting #9: cost 7 inf + 572 8.106 * * [simplify]: Extracting #10: cost 4 inf + 1218 8.106 * * [simplify]: Extracting #11: cost 1 inf + 2024 8.107 * * [simplify]: Extracting #12: cost 0 inf + 2346 8.108 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.108 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.108 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 8.109 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) 8.109 * * [simplify]: iters left: 6 (9 enodes) 8.113 * * [simplify]: iters left: 5 (29 enodes) 8.121 * * [simplify]: Extracting #0: cost 1 inf + 0 8.121 * * [simplify]: Extracting #1: cost 4 inf + 0 8.121 * * [simplify]: Extracting #2: cost 7 inf + 0 8.121 * * [simplify]: Extracting #3: cost 9 inf + 0 8.121 * * [simplify]: Extracting #4: cost 12 inf + 0 8.121 * * [simplify]: Extracting #5: cost 16 inf + 0 8.121 * * [simplify]: Extracting #6: cost 13 inf + 43 8.121 * * [simplify]: Extracting #7: cost 11 inf + 125 8.122 * * [simplify]: Extracting #8: cost 7 inf + 572 8.122 * * [simplify]: Extracting #9: cost 1 inf + 2064 8.123 * * [simplify]: Extracting #10: cost 0 inf + 2346 8.123 * [simplify]: Simplified to (fabs (cbrt (sqrt (+ (* re re) (* im im))))) 8.124 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.124 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 8.124 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) 8.124 * * [simplify]: iters left: 6 (9 enodes) 8.128 * * [simplify]: iters left: 5 (29 enodes) 8.136 * * [simplify]: Extracting #0: cost 1 inf + 0 8.136 * * [simplify]: Extracting #1: cost 3 inf + 0 8.136 * * [simplify]: Extracting #2: cost 6 inf + 0 8.136 * * [simplify]: Extracting #3: cost 9 inf + 0 8.136 * * [simplify]: Extracting #4: cost 12 inf + 0 8.137 * * [simplify]: Extracting #5: cost 16 inf + 0 8.137 * * [simplify]: Extracting #6: cost 13 inf + 43 8.137 * * [simplify]: Extracting #7: cost 11 inf + 125 8.137 * * [simplify]: Extracting #8: cost 6 inf + 854 8.138 * * [simplify]: Extracting #9: cost 0 inf + 2346 8.138 * [simplify]: Simplified to (sqrt (fabs (cbrt (+ (* re re) (* im im))))) 8.138 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.139 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 8.139 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.139 * * [simplify]: iters left: 6 (8 enodes) 8.143 * * [simplify]: iters left: 5 (25 enodes) 8.150 * * [simplify]: Extracting #0: cost 1 inf + 0 8.150 * * [simplify]: Extracting #1: cost 3 inf + 0 8.150 * * [simplify]: Extracting #2: cost 5 inf + 0 8.150 * * [simplify]: Extracting #3: cost 7 inf + 0 8.150 * * [simplify]: Extracting #4: cost 10 inf + 0 8.150 * * [simplify]: Extracting #5: cost 14 inf + 0 8.150 * * [simplify]: Extracting #6: cost 11 inf + 43 8.151 * * [simplify]: Extracting #7: cost 9 inf + 125 8.151 * * [simplify]: Extracting #8: cost 5 inf + 572 8.151 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.152 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.152 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.152 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.153 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 8.153 * [simplify]: Simplifying (sqrt (sqrt 1)) 8.153 * * [simplify]: iters left: 2 (3 enodes) 8.159 * * [simplify]: iters left: 1 (11 enodes) 8.162 * * [simplify]: Extracting #0: cost 1 inf + 0 8.162 * * [simplify]: Extracting #1: cost 0 inf + 1 8.162 * [simplify]: Simplified to 1 8.162 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.162 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 8.162 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.162 * * [simplify]: iters left: 6 (8 enodes) 8.166 * * [simplify]: iters left: 5 (25 enodes) 8.170 * * [simplify]: Extracting #0: cost 1 inf + 0 8.170 * * [simplify]: Extracting #1: cost 3 inf + 0 8.170 * * [simplify]: Extracting #2: cost 5 inf + 0 8.170 * * [simplify]: Extracting #3: cost 7 inf + 0 8.170 * * [simplify]: Extracting #4: cost 10 inf + 0 8.170 * * [simplify]: Extracting #5: cost 14 inf + 0 8.170 * * [simplify]: Extracting #6: cost 11 inf + 43 8.170 * * [simplify]: Extracting #7: cost 9 inf + 125 8.171 * * [simplify]: Extracting #8: cost 5 inf + 572 8.171 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.171 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.171 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.171 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.172 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 8.172 * [simplify]: Simplifying (sqrt 1) 8.172 * * [simplify]: iters left: 1 (2 enodes) 8.174 * * [simplify]: Extracting #0: cost 1 inf + 0 8.174 * * [simplify]: Extracting #1: cost 0 inf + 1 8.174 * [simplify]: Simplified to 1 8.174 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.174 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 8.174 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.174 * * [simplify]: iters left: 6 (8 enodes) 8.176 * * [simplify]: iters left: 5 (25 enodes) 8.180 * * [simplify]: Extracting #0: cost 1 inf + 0 8.180 * * [simplify]: Extracting #1: cost 3 inf + 0 8.180 * * [simplify]: Extracting #2: cost 5 inf + 0 8.180 * * [simplify]: Extracting #3: cost 7 inf + 0 8.180 * * [simplify]: Extracting #4: cost 10 inf + 0 8.180 * * [simplify]: Extracting #5: cost 14 inf + 0 8.180 * * [simplify]: Extracting #6: cost 11 inf + 43 8.180 * * [simplify]: Extracting #7: cost 9 inf + 125 8.180 * * [simplify]: Extracting #8: cost 5 inf + 572 8.180 * * [simplify]: Extracting #9: cost 1 inf + 1380 8.180 * * [simplify]: Extracting #10: cost 0 inf + 1622 8.181 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 8.181 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.181 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 8.181 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 8.181 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) 8.181 * * [simplify]: iters left: 6 (11 enodes) 8.184 * * [simplify]: iters left: 5 (55 enodes) 8.198 * * [simplify]: iters left: 4 (122 enodes) 8.238 * * [simplify]: iters left: 3 (237 enodes) 8.312 * * [simplify]: iters left: 2 (369 enodes) 8.447 * * [simplify]: Extracting #0: cost 1 inf + 0 8.447 * * [simplify]: Extracting #1: cost 3 inf + 0 8.447 * * [simplify]: Extracting #2: cost 5 inf + 0 8.447 * * [simplify]: Extracting #3: cost 24 inf + 0 8.447 * * [simplify]: Extracting #4: cost 150 inf + 0 8.448 * * [simplify]: Extracting #5: cost 205 inf + 2347 8.451 * * [simplify]: Extracting #6: cost 111 inf + 15919 8.458 * * [simplify]: Extracting #7: cost 7 inf + 34109 8.475 * * [simplify]: Extracting #8: cost 0 inf + 35684 8.490 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) 8.490 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))))) re))))) 8.490 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 8.490 * [simplify]: Simplifying (sqrt (sqrt (- (* re re) (* im im)))) 8.491 * * [simplify]: iters left: 6 (7 enodes) 8.494 * * [simplify]: iters left: 5 (26 enodes) 8.502 * * [simplify]: iters left: 4 (39 enodes) 8.514 * * [simplify]: iters left: 3 (56 enodes) 8.526 * * [simplify]: iters left: 2 (97 enodes) 8.545 * * [simplify]: iters left: 1 (180 enodes) 8.589 * * [simplify]: Extracting #0: cost 1 inf + 0 8.589 * * [simplify]: Extracting #1: cost 3 inf + 0 8.589 * * [simplify]: Extracting #2: cost 5 inf + 0 8.589 * * [simplify]: Extracting #3: cost 25 inf + 0 8.590 * * [simplify]: Extracting #4: cost 59 inf + 0 8.590 * * [simplify]: Extracting #5: cost 53 inf + 290 8.592 * * [simplify]: Extracting #6: cost 20 inf + 3831 8.595 * * [simplify]: Extracting #7: cost 2 inf + 6067 8.598 * * [simplify]: Extracting #8: cost 0 inf + 6311 8.602 * [simplify]: Simplified to (sqrt (sqrt (- (* re re) (* im im)))) 8.602 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 8.602 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 8.603 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.603 * * [simplify]: iters left: 6 (14 enodes) 8.611 * * [simplify]: iters left: 5 (62 enodes) 8.637 * * [simplify]: iters left: 4 (117 enodes) 8.676 * * [simplify]: iters left: 3 (215 enodes) 8.754 * * [simplify]: iters left: 2 (409 enodes) 8.927 * * [simplify]: Extracting #0: cost 1 inf + 0 8.927 * * [simplify]: Extracting #1: cost 4 inf + 0 8.927 * * [simplify]: Extracting #2: cost 8 inf + 0 8.927 * * [simplify]: Extracting #3: cost 12 inf + 0 8.927 * * [simplify]: Extracting #4: cost 18 inf + 0 8.927 * * [simplify]: Extracting #5: cost 75 inf + 0 8.929 * * [simplify]: Extracting #6: cost 171 inf + 632 8.931 * * [simplify]: Extracting #7: cost 162 inf + 4324 8.937 * * [simplify]: Extracting #8: cost 79 inf + 32315 8.943 * * [simplify]: Extracting #9: cost 8 inf + 63125 8.949 * * [simplify]: Extracting #10: cost 0 inf + 67240 8.959 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.959 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re))))) 8.960 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 8.960 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.960 * * [simplify]: iters left: 6 (13 enodes) 8.967 * * [simplify]: iters left: 5 (53 enodes) 8.984 * * [simplify]: iters left: 4 (80 enodes) 9.004 * * [simplify]: iters left: 3 (136 enodes) 9.039 * * [simplify]: iters left: 2 (291 enodes) 9.178 * * [simplify]: Extracting #0: cost 1 inf + 0 9.178 * * [simplify]: Extracting #1: cost 4 inf + 0 9.178 * * [simplify]: Extracting #2: cost 8 inf + 0 9.179 * * [simplify]: Extracting #3: cost 12 inf + 0 9.179 * * [simplify]: Extracting #4: cost 61 inf + 0 9.180 * * [simplify]: Extracting #5: cost 160 inf + 0 9.181 * * [simplify]: Extracting #6: cost 201 inf + 1018 9.189 * * [simplify]: Extracting #7: cost 86 inf + 19610 9.204 * * [simplify]: Extracting #8: cost 8 inf + 36437 9.221 * * [simplify]: Extracting #9: cost 0 inf + 38305 9.237 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 9.237 * [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) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 9.237 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 9.238 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 9.238 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 9.238 * [simplify]: Simplifying im 9.238 * * [simplify]: iters left: 0 (1 enodes) 9.238 * * [simplify]: Extracting #0: cost 1 inf + 0 9.239 * * [simplify]: Extracting #1: cost 0 inf + 1 9.239 * [simplify]: Simplified to im 9.239 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re))))) 9.239 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 9.239 * [simplify]: Simplifying re 9.239 * * [simplify]: iters left: 0 (1 enodes) 9.240 * * [simplify]: Extracting #0: cost 1 inf + 0 9.240 * * [simplify]: Extracting #1: cost 0 inf + 1 9.240 * [simplify]: Simplified to re 9.240 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re))))) 9.240 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 9.240 * [simplify]: Simplifying (* -1 re) 9.240 * * [simplify]: iters left: 2 (3 enodes) 9.242 * * [simplify]: iters left: 1 (11 enodes) 9.246 * * [simplify]: Extracting #0: cost 1 inf + 0 9.246 * * [simplify]: Extracting #1: cost 4 inf + 0 9.246 * * [simplify]: Extracting #2: cost 0 inf + 84 9.246 * [simplify]: Simplified to (- re) 9.246 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (- re))) re))))) 9.246 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 9.246 * [simplify]: Simplifying im 9.246 * * [simplify]: iters left: 0 (1 enodes) 9.247 * * [simplify]: Extracting #0: cost 1 inf + 0 9.247 * * [simplify]: Extracting #1: cost 0 inf + 1 9.247 * [simplify]: Simplified to im 9.247 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.247 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 9.247 * [simplify]: Simplifying re 9.248 * * [simplify]: iters left: 0 (1 enodes) 9.248 * * [simplify]: Extracting #0: cost 1 inf + 0 9.248 * * [simplify]: Extracting #1: cost 0 inf + 1 9.248 * [simplify]: Simplified to re 9.248 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.248 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 9.249 * [simplify]: Simplifying (* -1 re) 9.249 * * [simplify]: iters left: 2 (3 enodes) 9.255 * * [simplify]: iters left: 1 (11 enodes) 9.258 * * [simplify]: Extracting #0: cost 1 inf + 0 9.259 * * [simplify]: Extracting #1: cost 4 inf + 0 9.259 * * [simplify]: Extracting #2: cost 0 inf + 84 9.259 * [simplify]: Simplified to (- re) 9.259 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (- re)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.259 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 9.259 * [simplify]: Simplifying (- im re) 9.259 * * [simplify]: iters left: 2 (3 enodes) 9.261 * * [simplify]: iters left: 1 (11 enodes) 9.264 * * [simplify]: Extracting #0: cost 1 inf + 0 9.264 * * [simplify]: Extracting #1: cost 5 inf + 0 9.264 * * [simplify]: Extracting #2: cost 3 inf + 43 9.264 * * [simplify]: Extracting #3: cost 0 inf + 168 9.264 * [simplify]: Simplified to (- im re) 9.264 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 9.264 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 9.265 * [simplify]: Simplifying 0 9.265 * * [simplify]: iters left: 0 (1 enodes) 9.266 * * [simplify]: Extracting #0: cost 1 inf + 0 9.266 * * [simplify]: Extracting #1: cost 0 inf + 1 9.266 * [simplify]: Simplified to 0 9.266 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 9.266 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 9.266 * [simplify]: Simplifying (* -2 re) 9.266 * * [simplify]: iters left: 2 (3 enodes) 9.268 * * [simplify]: iters left: 1 (10 enodes) 9.271 * * [simplify]: Extracting #0: cost 1 inf + 0 9.271 * * [simplify]: Extracting #1: cost 4 inf + 0 9.271 * * [simplify]: Extracting #2: cost 2 inf + 2 9.271 * * [simplify]: Extracting #3: cost 0 inf + 86 9.272 * [simplify]: Simplified to (* -2 re) 9.272 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 9.272 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 9.272 * [simplify]: Simplifying im 9.272 * * [simplify]: iters left: 0 (1 enodes) 9.273 * * [simplify]: Extracting #0: cost 1 inf + 0 9.273 * * [simplify]: Extracting #1: cost 0 inf + 1 9.273 * [simplify]: Simplified to im 9.273 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 9.273 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 9.273 * [simplify]: Simplifying re 9.273 * * [simplify]: iters left: 0 (1 enodes) 9.273 * * [simplify]: Extracting #0: cost 1 inf + 0 9.273 * * [simplify]: Extracting #1: cost 0 inf + 1 9.274 * [simplify]: Simplified to re 9.274 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re))))) 9.274 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 9.274 * [simplify]: Simplifying (* -1 re) 9.274 * * [simplify]: iters left: 2 (3 enodes) 9.276 * * [simplify]: iters left: 1 (11 enodes) 9.280 * * [simplify]: Extracting #0: cost 1 inf + 0 9.280 * * [simplify]: Extracting #1: cost 4 inf + 0 9.280 * * [simplify]: Extracting #2: cost 0 inf + 84 9.280 * [simplify]: Simplified to (- re) 9.280 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re))))) 9.280 * * * [progress]: adding candidates to table 11.013 * * [progress]: iteration 3 / 4 11.013 * * * [progress]: picking best candidate 11.080 * * * * [pick]: Picked # 11.080 * * * [progress]: localizing error 11.126 * * * [progress]: generating rewritten candidates 11.126 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 11.134 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 11.145 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 11.157 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 11.313 * * * [progress]: generating series expansions 11.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1) 11.313 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 11.313 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 11.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.313 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.313 * [taylor]: Taking taylor expansion of im in im 11.313 * [backup-simplify]: Simplify 0 into 0 11.313 * [backup-simplify]: Simplify 1 into 1 11.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.313 * [taylor]: Taking taylor expansion of re in im 11.313 * [backup-simplify]: Simplify re into re 11.313 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.313 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.314 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.314 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.314 * [backup-simplify]: Simplify (+ 0 0) into 0 11.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.315 * [taylor]: Taking taylor expansion of im in re 11.315 * [backup-simplify]: Simplify im into im 11.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.315 * [taylor]: Taking taylor expansion of re in re 11.315 * [backup-simplify]: Simplify 0 into 0 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.315 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.315 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.315 * [backup-simplify]: Simplify (+ 0 0) into 0 11.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.316 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.316 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.316 * [taylor]: Taking taylor expansion of im in re 11.316 * [backup-simplify]: Simplify im into im 11.316 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.316 * [taylor]: Taking taylor expansion of re in re 11.316 * [backup-simplify]: Simplify 0 into 0 11.316 * [backup-simplify]: Simplify 1 into 1 11.316 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.316 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.316 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.317 * [backup-simplify]: Simplify (+ 0 0) into 0 11.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.317 * [taylor]: Taking taylor expansion of im in im 11.317 * [backup-simplify]: Simplify 0 into 0 11.317 * [backup-simplify]: Simplify 1 into 1 11.317 * [backup-simplify]: Simplify 0 into 0 11.317 * [taylor]: Taking taylor expansion of 0 in im 11.317 * [backup-simplify]: Simplify 0 into 0 11.317 * [backup-simplify]: Simplify 0 into 0 11.317 * [backup-simplify]: Simplify 1 into 1 11.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.318 * [backup-simplify]: Simplify (* 1 1) into 1 11.318 * [backup-simplify]: Simplify (+ 0 1) into 1 11.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.319 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.319 * [taylor]: Taking taylor expansion of 1/2 in im 11.319 * [backup-simplify]: Simplify 1/2 into 1/2 11.319 * [taylor]: Taking taylor expansion of im in im 11.319 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify 1 into 1 11.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.321 * [backup-simplify]: Simplify 0 into 0 11.321 * [backup-simplify]: Simplify 0 into 0 11.321 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.323 * [backup-simplify]: Simplify (+ 0 0) into 0 11.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.323 * [taylor]: Taking taylor expansion of 0 in im 11.323 * [backup-simplify]: Simplify 0 into 0 11.323 * [backup-simplify]: Simplify 0 into 0 11.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.324 * [backup-simplify]: Simplify 0 into 0 11.324 * [backup-simplify]: Simplify 0 into 0 11.324 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.324 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.324 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.324 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.324 * [taylor]: Taking taylor expansion of re in im 11.324 * [backup-simplify]: Simplify re into re 11.325 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.325 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.325 * [taylor]: Taking taylor expansion of im in im 11.325 * [backup-simplify]: Simplify 0 into 0 11.325 * [backup-simplify]: Simplify 1 into 1 11.325 * [backup-simplify]: Simplify (* 1 1) into 1 11.325 * [backup-simplify]: Simplify (/ 1 1) into 1 11.326 * [backup-simplify]: Simplify (+ 0 1) into 1 11.326 * [backup-simplify]: Simplify (sqrt 1) into 1 11.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.328 * [backup-simplify]: Simplify (+ 0 0) into 0 11.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.329 * [taylor]: Taking taylor expansion of re in re 11.329 * [backup-simplify]: Simplify 0 into 0 11.329 * [backup-simplify]: Simplify 1 into 1 11.329 * [backup-simplify]: Simplify (* 1 1) into 1 11.330 * [backup-simplify]: Simplify (/ 1 1) into 1 11.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.330 * [taylor]: Taking taylor expansion of im in re 11.330 * [backup-simplify]: Simplify im into im 11.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.331 * [backup-simplify]: Simplify (+ 1 0) into 1 11.331 * [backup-simplify]: Simplify (sqrt 1) into 1 11.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.333 * [backup-simplify]: Simplify (+ 0 0) into 0 11.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.334 * [taylor]: Taking taylor expansion of re in re 11.334 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify 1 into 1 11.334 * [backup-simplify]: Simplify (* 1 1) into 1 11.335 * [backup-simplify]: Simplify (/ 1 1) into 1 11.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.335 * [taylor]: Taking taylor expansion of im in re 11.335 * [backup-simplify]: Simplify im into im 11.335 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.335 * [backup-simplify]: Simplify (+ 1 0) into 1 11.336 * [backup-simplify]: Simplify (sqrt 1) into 1 11.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.337 * [backup-simplify]: Simplify (+ 0 0) into 0 11.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.338 * [taylor]: Taking taylor expansion of 1 in im 11.338 * [backup-simplify]: Simplify 1 into 1 11.338 * [taylor]: Taking taylor expansion of 0 in im 11.338 * [backup-simplify]: Simplify 0 into 0 11.338 * [backup-simplify]: Simplify 1 into 1 11.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.340 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.341 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.342 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.342 * [taylor]: Taking taylor expansion of 1/2 in im 11.342 * [backup-simplify]: Simplify 1/2 into 1/2 11.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.342 * [taylor]: Taking taylor expansion of im in im 11.342 * [backup-simplify]: Simplify 0 into 0 11.342 * [backup-simplify]: Simplify 1 into 1 11.342 * [backup-simplify]: Simplify (* 1 1) into 1 11.342 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.344 * [backup-simplify]: Simplify 0 into 0 11.344 * [backup-simplify]: Simplify 0 into 0 11.344 * [backup-simplify]: Simplify 0 into 0 11.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.347 * [backup-simplify]: Simplify (+ 0 0) into 0 11.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.347 * [taylor]: Taking taylor expansion of 0 in im 11.347 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.349 * [backup-simplify]: Simplify 0 into 0 11.350 * [backup-simplify]: Simplify 0 into 0 11.350 * [backup-simplify]: Simplify 0 into 0 11.350 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.350 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.350 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.350 * [taylor]: Taking taylor expansion of re in im 11.350 * [backup-simplify]: Simplify re into re 11.350 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.350 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.350 * [taylor]: Taking taylor expansion of im in im 11.350 * [backup-simplify]: Simplify 0 into 0 11.351 * [backup-simplify]: Simplify 1 into 1 11.351 * [backup-simplify]: Simplify (* 1 1) into 1 11.351 * [backup-simplify]: Simplify (/ 1 1) into 1 11.352 * [backup-simplify]: Simplify (+ 0 1) into 1 11.352 * [backup-simplify]: Simplify (sqrt 1) into 1 11.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.354 * [backup-simplify]: Simplify (+ 0 0) into 0 11.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.355 * [taylor]: Taking taylor expansion of re in re 11.355 * [backup-simplify]: Simplify 0 into 0 11.355 * [backup-simplify]: Simplify 1 into 1 11.355 * [backup-simplify]: Simplify (* 1 1) into 1 11.356 * [backup-simplify]: Simplify (/ 1 1) into 1 11.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.356 * [taylor]: Taking taylor expansion of im in re 11.356 * [backup-simplify]: Simplify im into im 11.356 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.356 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.356 * [backup-simplify]: Simplify (+ 1 0) into 1 11.357 * [backup-simplify]: Simplify (sqrt 1) into 1 11.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.361 * [backup-simplify]: Simplify (+ 0 0) into 0 11.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.362 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.362 * [taylor]: Taking taylor expansion of re in re 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 1 into 1 11.362 * [backup-simplify]: Simplify (* 1 1) into 1 11.362 * [backup-simplify]: Simplify (/ 1 1) into 1 11.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.363 * [taylor]: Taking taylor expansion of im in re 11.363 * [backup-simplify]: Simplify im into im 11.363 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.363 * [backup-simplify]: Simplify (+ 1 0) into 1 11.364 * [backup-simplify]: Simplify (sqrt 1) into 1 11.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.365 * [backup-simplify]: Simplify (+ 0 0) into 0 11.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.366 * [taylor]: Taking taylor expansion of 1 in im 11.366 * [backup-simplify]: Simplify 1 into 1 11.366 * [taylor]: Taking taylor expansion of 0 in im 11.366 * [backup-simplify]: Simplify 0 into 0 11.366 * [backup-simplify]: Simplify 1 into 1 11.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.368 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.369 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.370 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.370 * [taylor]: Taking taylor expansion of 1/2 in im 11.370 * [backup-simplify]: Simplify 1/2 into 1/2 11.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.370 * [taylor]: Taking taylor expansion of im in im 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.370 * [backup-simplify]: Simplify (* 1 1) into 1 11.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.372 * [backup-simplify]: Simplify 0 into 0 11.372 * [backup-simplify]: Simplify 0 into 0 11.372 * [backup-simplify]: Simplify 0 into 0 11.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.375 * [backup-simplify]: Simplify (+ 0 0) into 0 11.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.375 * [taylor]: Taking taylor expansion of 0 in im 11.375 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.378 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 11.378 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 11.378 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 11.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.378 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.378 * [taylor]: Taking taylor expansion of im in im 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 1 into 1 11.378 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.378 * [taylor]: Taking taylor expansion of re in im 11.378 * [backup-simplify]: Simplify re into re 11.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.378 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.379 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.379 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.379 * [backup-simplify]: Simplify (+ 0 0) into 0 11.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.379 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.379 * [taylor]: Taking taylor expansion of im in re 11.379 * [backup-simplify]: Simplify im into im 11.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.380 * [taylor]: Taking taylor expansion of re in re 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 1 into 1 11.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.380 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.380 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.380 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.380 * [backup-simplify]: Simplify (+ 0 0) into 0 11.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.381 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.381 * [taylor]: Taking taylor expansion of im in re 11.381 * [backup-simplify]: Simplify im into im 11.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.381 * [taylor]: Taking taylor expansion of re in re 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 1 into 1 11.381 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.381 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.381 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.382 * [backup-simplify]: Simplify (+ 0 0) into 0 11.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.382 * [taylor]: Taking taylor expansion of im in im 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 1 into 1 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [taylor]: Taking taylor expansion of 0 in im 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 1 into 1 11.383 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.383 * [backup-simplify]: Simplify (* 1 1) into 1 11.384 * [backup-simplify]: Simplify (+ 0 1) into 1 11.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.385 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.385 * [taylor]: Taking taylor expansion of 1/2 in im 11.385 * [backup-simplify]: Simplify 1/2 into 1/2 11.385 * [taylor]: Taking taylor expansion of im in im 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 1 into 1 11.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.388 * [backup-simplify]: Simplify (+ 0 0) into 0 11.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.388 * [taylor]: Taking taylor expansion of 0 in im 11.388 * [backup-simplify]: Simplify 0 into 0 11.388 * [backup-simplify]: Simplify 0 into 0 11.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.389 * [backup-simplify]: Simplify 0 into 0 11.389 * [backup-simplify]: Simplify 0 into 0 11.390 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.390 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.390 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.390 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.390 * [taylor]: Taking taylor expansion of re in im 11.390 * [backup-simplify]: Simplify re into re 11.390 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.390 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.390 * [taylor]: Taking taylor expansion of im in im 11.390 * [backup-simplify]: Simplify 0 into 0 11.390 * [backup-simplify]: Simplify 1 into 1 11.391 * [backup-simplify]: Simplify (* 1 1) into 1 11.391 * [backup-simplify]: Simplify (/ 1 1) into 1 11.392 * [backup-simplify]: Simplify (+ 0 1) into 1 11.392 * [backup-simplify]: Simplify (sqrt 1) into 1 11.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.394 * [backup-simplify]: Simplify (+ 0 0) into 0 11.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.395 * [taylor]: Taking taylor expansion of re in re 11.395 * [backup-simplify]: Simplify 0 into 0 11.395 * [backup-simplify]: Simplify 1 into 1 11.395 * [backup-simplify]: Simplify (* 1 1) into 1 11.395 * [backup-simplify]: Simplify (/ 1 1) into 1 11.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.395 * [taylor]: Taking taylor expansion of im in re 11.395 * [backup-simplify]: Simplify im into im 11.396 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.396 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.396 * [backup-simplify]: Simplify (+ 1 0) into 1 11.396 * [backup-simplify]: Simplify (sqrt 1) into 1 11.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.398 * [backup-simplify]: Simplify (+ 0 0) into 0 11.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.399 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.399 * [taylor]: Taking taylor expansion of re in re 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 1 into 1 11.400 * [backup-simplify]: Simplify (* 1 1) into 1 11.400 * [backup-simplify]: Simplify (/ 1 1) into 1 11.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.400 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.400 * [taylor]: Taking taylor expansion of im in re 11.400 * [backup-simplify]: Simplify im into im 11.400 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.400 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.401 * [backup-simplify]: Simplify (+ 1 0) into 1 11.401 * [backup-simplify]: Simplify (sqrt 1) into 1 11.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.403 * [backup-simplify]: Simplify (+ 0 0) into 0 11.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.404 * [taylor]: Taking taylor expansion of 1 in im 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [taylor]: Taking taylor expansion of 0 in im 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.406 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.407 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.407 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.407 * [taylor]: Taking taylor expansion of 1/2 in im 11.407 * [backup-simplify]: Simplify 1/2 into 1/2 11.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.407 * [taylor]: Taking taylor expansion of im in im 11.407 * [backup-simplify]: Simplify 0 into 0 11.407 * [backup-simplify]: Simplify 1 into 1 11.408 * [backup-simplify]: Simplify (* 1 1) into 1 11.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.413 * [backup-simplify]: Simplify (+ 0 0) into 0 11.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.414 * [taylor]: Taking taylor expansion of 0 in im 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 0 into 0 11.416 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.416 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.416 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.416 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.416 * [taylor]: Taking taylor expansion of re in im 11.416 * [backup-simplify]: Simplify re into re 11.416 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.416 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.416 * [taylor]: Taking taylor expansion of im in im 11.416 * [backup-simplify]: Simplify 0 into 0 11.416 * [backup-simplify]: Simplify 1 into 1 11.417 * [backup-simplify]: Simplify (* 1 1) into 1 11.417 * [backup-simplify]: Simplify (/ 1 1) into 1 11.418 * [backup-simplify]: Simplify (+ 0 1) into 1 11.418 * [backup-simplify]: Simplify (sqrt 1) into 1 11.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.420 * [backup-simplify]: Simplify (+ 0 0) into 0 11.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.421 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.421 * [taylor]: Taking taylor expansion of re in re 11.421 * [backup-simplify]: Simplify 0 into 0 11.421 * [backup-simplify]: Simplify 1 into 1 11.422 * [backup-simplify]: Simplify (* 1 1) into 1 11.422 * [backup-simplify]: Simplify (/ 1 1) into 1 11.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.422 * [taylor]: Taking taylor expansion of im in re 11.422 * [backup-simplify]: Simplify im into im 11.422 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.422 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.423 * [backup-simplify]: Simplify (+ 1 0) into 1 11.423 * [backup-simplify]: Simplify (sqrt 1) into 1 11.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.425 * [backup-simplify]: Simplify (+ 0 0) into 0 11.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.426 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.426 * [taylor]: Taking taylor expansion of re in re 11.426 * [backup-simplify]: Simplify 0 into 0 11.426 * [backup-simplify]: Simplify 1 into 1 11.426 * [backup-simplify]: Simplify (* 1 1) into 1 11.427 * [backup-simplify]: Simplify (/ 1 1) into 1 11.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.427 * [taylor]: Taking taylor expansion of im in re 11.427 * [backup-simplify]: Simplify im into im 11.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.427 * [backup-simplify]: Simplify (+ 1 0) into 1 11.428 * [backup-simplify]: Simplify (sqrt 1) into 1 11.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.429 * [backup-simplify]: Simplify (+ 0 0) into 0 11.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.430 * [taylor]: Taking taylor expansion of 1 in im 11.430 * [backup-simplify]: Simplify 1 into 1 11.430 * [taylor]: Taking taylor expansion of 0 in im 11.430 * [backup-simplify]: Simplify 0 into 0 11.430 * [backup-simplify]: Simplify 1 into 1 11.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.434 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.434 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.434 * [taylor]: Taking taylor expansion of 1/2 in im 11.434 * [backup-simplify]: Simplify 1/2 into 1/2 11.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.434 * [taylor]: Taking taylor expansion of im in im 11.434 * [backup-simplify]: Simplify 0 into 0 11.434 * [backup-simplify]: Simplify 1 into 1 11.434 * [backup-simplify]: Simplify (* 1 1) into 1 11.435 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.436 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify 0 into 0 11.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.439 * [backup-simplify]: Simplify (+ 0 0) into 0 11.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.440 * [taylor]: Taking taylor expansion of 0 in im 11.440 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.442 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 11.442 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 11.442 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 11.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.442 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.443 * [taylor]: Taking taylor expansion of im in im 11.443 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify 1 into 1 11.443 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.443 * [taylor]: Taking taylor expansion of re in im 11.443 * [backup-simplify]: Simplify re into re 11.443 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.443 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.443 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.443 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.443 * [backup-simplify]: Simplify (+ 0 0) into 0 11.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.444 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.444 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.444 * [taylor]: Taking taylor expansion of im in re 11.444 * [backup-simplify]: Simplify im into im 11.444 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.444 * [taylor]: Taking taylor expansion of re in re 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.444 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.444 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.444 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.445 * [backup-simplify]: Simplify (+ 0 0) into 0 11.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.445 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.445 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.445 * [taylor]: Taking taylor expansion of im in re 11.445 * [backup-simplify]: Simplify im into im 11.445 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.445 * [taylor]: Taking taylor expansion of re in re 11.445 * [backup-simplify]: Simplify 0 into 0 11.445 * [backup-simplify]: Simplify 1 into 1 11.445 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.445 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.445 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.445 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.446 * [backup-simplify]: Simplify (+ 0 0) into 0 11.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.446 * [taylor]: Taking taylor expansion of im in im 11.446 * [backup-simplify]: Simplify 0 into 0 11.446 * [backup-simplify]: Simplify 1 into 1 11.446 * [backup-simplify]: Simplify 0 into 0 11.446 * [taylor]: Taking taylor expansion of 0 in im 11.446 * [backup-simplify]: Simplify 0 into 0 11.446 * [backup-simplify]: Simplify 0 into 0 11.446 * [backup-simplify]: Simplify 1 into 1 11.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.447 * [backup-simplify]: Simplify (* 1 1) into 1 11.447 * [backup-simplify]: Simplify (+ 0 1) into 1 11.448 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.448 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.448 * [taylor]: Taking taylor expansion of 1/2 in im 11.448 * [backup-simplify]: Simplify 1/2 into 1/2 11.448 * [taylor]: Taking taylor expansion of im in im 11.448 * [backup-simplify]: Simplify 0 into 0 11.448 * [backup-simplify]: Simplify 1 into 1 11.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify 0 into 0 11.451 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.452 * [backup-simplify]: Simplify (+ 0 0) into 0 11.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.452 * [taylor]: Taking taylor expansion of 0 in im 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.454 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.454 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.454 * [taylor]: Taking taylor expansion of re in im 11.454 * [backup-simplify]: Simplify re into re 11.454 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.454 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.454 * [taylor]: Taking taylor expansion of im in im 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify 1 into 1 11.454 * [backup-simplify]: Simplify (* 1 1) into 1 11.455 * [backup-simplify]: Simplify (/ 1 1) into 1 11.455 * [backup-simplify]: Simplify (+ 0 1) into 1 11.456 * [backup-simplify]: Simplify (sqrt 1) into 1 11.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.458 * [backup-simplify]: Simplify (+ 0 0) into 0 11.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.458 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.458 * [taylor]: Taking taylor expansion of re in re 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify 1 into 1 11.459 * [backup-simplify]: Simplify (* 1 1) into 1 11.459 * [backup-simplify]: Simplify (/ 1 1) into 1 11.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.459 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.459 * [taylor]: Taking taylor expansion of im in re 11.459 * [backup-simplify]: Simplify im into im 11.459 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.459 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.460 * [backup-simplify]: Simplify (+ 1 0) into 1 11.460 * [backup-simplify]: Simplify (sqrt 1) into 1 11.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.462 * [backup-simplify]: Simplify (+ 0 0) into 0 11.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.463 * [taylor]: Taking taylor expansion of re in re 11.463 * [backup-simplify]: Simplify 0 into 0 11.463 * [backup-simplify]: Simplify 1 into 1 11.463 * [backup-simplify]: Simplify (* 1 1) into 1 11.463 * [backup-simplify]: Simplify (/ 1 1) into 1 11.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.464 * [taylor]: Taking taylor expansion of im in re 11.464 * [backup-simplify]: Simplify im into im 11.464 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.464 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.464 * [backup-simplify]: Simplify (+ 1 0) into 1 11.464 * [backup-simplify]: Simplify (sqrt 1) into 1 11.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.465 * [backup-simplify]: Simplify (+ 0 0) into 0 11.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.466 * [taylor]: Taking taylor expansion of 1 in im 11.466 * [backup-simplify]: Simplify 1 into 1 11.466 * [taylor]: Taking taylor expansion of 0 in im 11.466 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify 1 into 1 11.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.467 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.468 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.468 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.468 * [taylor]: Taking taylor expansion of 1/2 in im 11.468 * [backup-simplify]: Simplify 1/2 into 1/2 11.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.468 * [taylor]: Taking taylor expansion of im in im 11.468 * [backup-simplify]: Simplify 0 into 0 11.468 * [backup-simplify]: Simplify 1 into 1 11.468 * [backup-simplify]: Simplify (* 1 1) into 1 11.469 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.470 * [backup-simplify]: Simplify 0 into 0 11.470 * [backup-simplify]: Simplify 0 into 0 11.470 * [backup-simplify]: Simplify 0 into 0 11.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.472 * [backup-simplify]: Simplify (+ 0 0) into 0 11.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.472 * [taylor]: Taking taylor expansion of 0 in im 11.472 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.474 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.474 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 11.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.474 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.474 * [taylor]: Taking taylor expansion of re in im 11.474 * [backup-simplify]: Simplify re into re 11.474 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.474 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.474 * [taylor]: Taking taylor expansion of im in im 11.474 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [backup-simplify]: Simplify (* 1 1) into 1 11.474 * [backup-simplify]: Simplify (/ 1 1) into 1 11.475 * [backup-simplify]: Simplify (+ 0 1) into 1 11.475 * [backup-simplify]: Simplify (sqrt 1) into 1 11.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.476 * [backup-simplify]: Simplify (+ 0 0) into 0 11.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.476 * [taylor]: Taking taylor expansion of re in re 11.476 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 1 into 1 11.477 * [backup-simplify]: Simplify (* 1 1) into 1 11.477 * [backup-simplify]: Simplify (/ 1 1) into 1 11.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.477 * [taylor]: Taking taylor expansion of im in re 11.477 * [backup-simplify]: Simplify im into im 11.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.477 * [backup-simplify]: Simplify (+ 1 0) into 1 11.478 * [backup-simplify]: Simplify (sqrt 1) into 1 11.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.479 * [backup-simplify]: Simplify (+ 0 0) into 0 11.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.479 * [taylor]: Taking taylor expansion of re in re 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify 1 into 1 11.480 * [backup-simplify]: Simplify (* 1 1) into 1 11.480 * [backup-simplify]: Simplify (/ 1 1) into 1 11.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.480 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.480 * [taylor]: Taking taylor expansion of im in re 11.480 * [backup-simplify]: Simplify im into im 11.480 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.480 * [backup-simplify]: Simplify (+ 1 0) into 1 11.481 * [backup-simplify]: Simplify (sqrt 1) into 1 11.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.482 * [backup-simplify]: Simplify (+ 0 0) into 0 11.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.482 * [taylor]: Taking taylor expansion of 1 in im 11.482 * [backup-simplify]: Simplify 1 into 1 11.482 * [taylor]: Taking taylor expansion of 0 in im 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 1 into 1 11.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.483 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.484 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.484 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.484 * [taylor]: Taking taylor expansion of 1/2 in im 11.484 * [backup-simplify]: Simplify 1/2 into 1/2 11.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.484 * [taylor]: Taking taylor expansion of im in im 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (* 1 1) into 1 11.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.487 * [backup-simplify]: Simplify (+ 0 0) into 0 11.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.488 * [taylor]: Taking taylor expansion of 0 in im 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.489 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 11.490 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 11.490 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 11.490 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 11.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.490 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.490 * [taylor]: Taking taylor expansion of im in im 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 1 into 1 11.490 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.490 * [taylor]: Taking taylor expansion of re in im 11.490 * [backup-simplify]: Simplify re into re 11.490 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.490 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.490 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.490 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.490 * [backup-simplify]: Simplify (+ 0 0) into 0 11.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.490 * [taylor]: Taking taylor expansion of re in im 11.490 * [backup-simplify]: Simplify re into re 11.490 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 11.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.490 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.490 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.490 * [taylor]: Taking taylor expansion of im in re 11.490 * [backup-simplify]: Simplify im into im 11.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.490 * [taylor]: Taking taylor expansion of re in re 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.491 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.491 * [taylor]: Taking taylor expansion of re in re 11.491 * [backup-simplify]: Simplify 0 into 0 11.491 * [backup-simplify]: Simplify 1 into 1 11.491 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 11.491 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.491 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.491 * [taylor]: Taking taylor expansion of im in re 11.491 * [backup-simplify]: Simplify im into im 11.491 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.491 * [taylor]: Taking taylor expansion of re in re 11.491 * [backup-simplify]: Simplify 0 into 0 11.491 * [backup-simplify]: Simplify 1 into 1 11.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.491 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.492 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.492 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.494 * [backup-simplify]: Simplify (+ 0 0) into 0 11.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.494 * [taylor]: Taking taylor expansion of re in re 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify 1 into 1 11.495 * [backup-simplify]: Simplify (- 0) into 0 11.495 * [backup-simplify]: Simplify (+ im 0) into im 11.495 * [taylor]: Taking taylor expansion of im in im 11.495 * [backup-simplify]: Simplify 0 into 0 11.495 * [backup-simplify]: Simplify 1 into 1 11.495 * [backup-simplify]: Simplify 0 into 0 11.495 * [backup-simplify]: Simplify (- 1) into -1 11.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.496 * [taylor]: Taking taylor expansion of -1 in im 11.496 * [backup-simplify]: Simplify -1 into -1 11.496 * [backup-simplify]: Simplify -1 into -1 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.497 * [backup-simplify]: Simplify (* 1 1) into 1 11.497 * [backup-simplify]: Simplify (+ 0 1) into 1 11.498 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.498 * [backup-simplify]: Simplify (- 0) into 0 11.498 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 11.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 11.499 * [taylor]: Taking taylor expansion of 1/2 in im 11.499 * [backup-simplify]: Simplify 1/2 into 1/2 11.499 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.499 * [taylor]: Taking taylor expansion of im in im 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [backup-simplify]: Simplify (/ 1 1) into 1 11.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.503 * [backup-simplify]: Simplify (+ 0 0) into 0 11.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.503 * [backup-simplify]: Simplify (- 0) into 0 11.503 * [backup-simplify]: Simplify (+ 0 0) into 0 11.503 * [taylor]: Taking taylor expansion of 0 in im 11.503 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.505 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 11.507 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 11.507 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 11.507 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 11.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.507 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.507 * [taylor]: Taking taylor expansion of re in im 11.507 * [backup-simplify]: Simplify re into re 11.507 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.507 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.507 * [taylor]: Taking taylor expansion of im in im 11.507 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify 1 into 1 11.507 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (/ 1 1) into 1 11.508 * [backup-simplify]: Simplify (+ 0 1) into 1 11.508 * [backup-simplify]: Simplify (sqrt 1) into 1 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.509 * [backup-simplify]: Simplify (+ 0 0) into 0 11.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.510 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.510 * [taylor]: Taking taylor expansion of re in im 11.510 * [backup-simplify]: Simplify re into re 11.510 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.510 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 11.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.510 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.510 * [taylor]: Taking taylor expansion of re in re 11.510 * [backup-simplify]: Simplify 0 into 0 11.510 * [backup-simplify]: Simplify 1 into 1 11.510 * [backup-simplify]: Simplify (* 1 1) into 1 11.510 * [backup-simplify]: Simplify (/ 1 1) into 1 11.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.510 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.510 * [taylor]: Taking taylor expansion of im in re 11.510 * [backup-simplify]: Simplify im into im 11.510 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.511 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.511 * [backup-simplify]: Simplify (+ 1 0) into 1 11.511 * [backup-simplify]: Simplify (sqrt 1) into 1 11.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.512 * [backup-simplify]: Simplify (+ 0 0) into 0 11.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.513 * [taylor]: Taking taylor expansion of re in re 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 1 into 1 11.513 * [backup-simplify]: Simplify (/ 1 1) into 1 11.513 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 11.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.513 * [taylor]: Taking taylor expansion of re in re 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 1 into 1 11.513 * [backup-simplify]: Simplify (* 1 1) into 1 11.514 * [backup-simplify]: Simplify (/ 1 1) into 1 11.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.514 * [taylor]: Taking taylor expansion of im in re 11.514 * [backup-simplify]: Simplify im into im 11.514 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.514 * [backup-simplify]: Simplify (+ 1 0) into 1 11.514 * [backup-simplify]: Simplify (sqrt 1) into 1 11.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.515 * [backup-simplify]: Simplify (+ 0 0) into 0 11.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.516 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.516 * [taylor]: Taking taylor expansion of re in re 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 1 into 1 11.516 * [backup-simplify]: Simplify (/ 1 1) into 1 11.517 * [backup-simplify]: Simplify (- 1) into -1 11.517 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.517 * [taylor]: Taking taylor expansion of 0 in im 11.517 * [backup-simplify]: Simplify 0 into 0 11.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.518 * [backup-simplify]: Simplify (- 0) into 0 11.518 * [backup-simplify]: Simplify (+ 0 0) into 0 11.518 * [taylor]: Taking taylor expansion of 0 in im 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.519 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.521 * [backup-simplify]: Simplify (- 0) into 0 11.521 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.521 * [taylor]: Taking taylor expansion of 1/2 in im 11.521 * [backup-simplify]: Simplify 1/2 into 1/2 11.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.521 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.521 * [taylor]: Taking taylor expansion of im in im 11.521 * [backup-simplify]: Simplify 0 into 0 11.521 * [backup-simplify]: Simplify 1 into 1 11.521 * [backup-simplify]: Simplify (* 1 1) into 1 11.522 * [backup-simplify]: Simplify (/ 1 1) into 1 11.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.525 * [backup-simplify]: Simplify (+ 0 0) into 0 11.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.526 * [backup-simplify]: Simplify (- 0) into 0 11.526 * [backup-simplify]: Simplify (+ 0 0) into 0 11.526 * [taylor]: Taking taylor expansion of 0 in im 11.526 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 11.529 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 11.529 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 11.529 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.529 * [taylor]: Taking taylor expansion of re in im 11.529 * [backup-simplify]: Simplify re into re 11.529 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.529 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.529 * [taylor]: Taking taylor expansion of re in im 11.529 * [backup-simplify]: Simplify re into re 11.529 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.529 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.529 * [taylor]: Taking taylor expansion of im in im 11.529 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify 1 into 1 11.530 * [backup-simplify]: Simplify (* 1 1) into 1 11.530 * [backup-simplify]: Simplify (/ 1 1) into 1 11.530 * [backup-simplify]: Simplify (+ 0 1) into 1 11.530 * [backup-simplify]: Simplify (sqrt 1) into 1 11.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.532 * [backup-simplify]: Simplify (+ 0 0) into 0 11.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.532 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 11.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.532 * [taylor]: Taking taylor expansion of re in re 11.532 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify 1 into 1 11.532 * [backup-simplify]: Simplify (/ 1 1) into 1 11.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.532 * [taylor]: Taking taylor expansion of re in re 11.532 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify 1 into 1 11.533 * [backup-simplify]: Simplify (* 1 1) into 1 11.533 * [backup-simplify]: Simplify (/ 1 1) into 1 11.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.533 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.533 * [taylor]: Taking taylor expansion of im in re 11.533 * [backup-simplify]: Simplify im into im 11.533 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.533 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.534 * [backup-simplify]: Simplify (+ 1 0) into 1 11.534 * [backup-simplify]: Simplify (sqrt 1) into 1 11.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.535 * [backup-simplify]: Simplify (+ 0 0) into 0 11.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.535 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 11.535 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.535 * [taylor]: Taking taylor expansion of re in re 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.536 * [backup-simplify]: Simplify (/ 1 1) into 1 11.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.536 * [taylor]: Taking taylor expansion of re in re 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 1 into 1 11.536 * [backup-simplify]: Simplify (* 1 1) into 1 11.536 * [backup-simplify]: Simplify (/ 1 1) into 1 11.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.536 * [taylor]: Taking taylor expansion of im in re 11.536 * [backup-simplify]: Simplify im into im 11.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.537 * [backup-simplify]: Simplify (+ 1 0) into 1 11.537 * [backup-simplify]: Simplify (sqrt 1) into 1 11.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.538 * [backup-simplify]: Simplify (+ 0 0) into 0 11.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.539 * [backup-simplify]: Simplify (+ 1 1) into 2 11.539 * [taylor]: Taking taylor expansion of 2 in im 11.539 * [backup-simplify]: Simplify 2 into 2 11.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.540 * [backup-simplify]: Simplify (+ 0 0) into 0 11.540 * [taylor]: Taking taylor expansion of 0 in im 11.540 * [backup-simplify]: Simplify 0 into 0 11.540 * [backup-simplify]: Simplify 2 into 2 11.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.543 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.544 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.544 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 11.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.544 * [taylor]: Taking taylor expansion of 1/2 in im 11.544 * [backup-simplify]: Simplify 1/2 into 1/2 11.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.544 * [taylor]: Taking taylor expansion of im in im 11.544 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify 1 into 1 11.545 * [backup-simplify]: Simplify (* 1 1) into 1 11.545 * [backup-simplify]: Simplify (/ 1 1) into 1 11.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.547 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.551 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.551 * [backup-simplify]: Simplify (+ 0 0) into 0 11.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.552 * [backup-simplify]: Simplify (+ 0 0) into 0 11.552 * [taylor]: Taking taylor expansion of 0 in im 11.552 * [backup-simplify]: Simplify 0 into 0 11.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.555 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 11.555 * * * [progress]: simplifying candidates 11.555 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 11.556 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 11.556 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 11.556 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 11.556 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 11.556 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 11.556 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 11.556 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 11.556 * * [simplify]: iters left: 6 (8 enodes) 11.558 * * [simplify]: iters left: 5 (26 enodes) 11.562 * * [simplify]: Extracting #0: cost 1 inf + 0 11.562 * * [simplify]: Extracting #1: cost 4 inf + 0 11.562 * * [simplify]: Extracting #2: cost 7 inf + 0 11.562 * * [simplify]: Extracting #3: cost 10 inf + 0 11.562 * * [simplify]: Extracting #4: cost 14 inf + 0 11.562 * * [simplify]: Extracting #5: cost 10 inf + 84 11.562 * * [simplify]: Extracting #6: cost 8 inf + 166 11.562 * * [simplify]: Extracting #7: cost 4 inf + 854 11.562 * * [simplify]: Extracting #8: cost 1 inf + 1540 11.563 * * [simplify]: Extracting #9: cost 0 inf + 1782 11.563 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 11.563 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) re))))) 11.563 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 11.563 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 11.563 * * [simplify]: iters left: 6 (7 enodes) 11.565 * * [simplify]: iters left: 5 (22 enodes) 11.568 * * [simplify]: Extracting #0: cost 1 inf + 0 11.568 * * [simplify]: Extracting #1: cost 3 inf + 0 11.568 * * [simplify]: Extracting #2: cost 5 inf + 0 11.568 * * [simplify]: Extracting #3: cost 8 inf + 0 11.568 * * [simplify]: Extracting #4: cost 12 inf + 0 11.568 * * [simplify]: Extracting #5: cost 10 inf + 2 11.569 * * [simplify]: Extracting #6: cost 1 inf + 936 11.569 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.569 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 11.569 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re))))) 11.569 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 11.569 * [simplify]: Simplifying (sqrt 1) 11.570 * * [simplify]: iters left: 1 (2 enodes) 11.572 * * [simplify]: Extracting #0: cost 1 inf + 0 11.572 * * [simplify]: Extracting #1: cost 0 inf + 1 11.572 * [simplify]: Simplified to 1 11.572 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* 1 (sqrt (+ (* re re) (* im im))))))) re))))) 11.572 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 11.572 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 11.572 * * [simplify]: iters left: 6 (9 enodes) 11.575 * * [simplify]: iters left: 5 (45 enodes) 11.588 * * [simplify]: iters left: 4 (100 enodes) 11.636 * * [simplify]: iters left: 3 (201 enodes) 11.693 * * [simplify]: iters left: 2 (406 enodes) 11.872 * * [simplify]: Extracting #0: cost 1 inf + 0 11.872 * * [simplify]: Extracting #1: cost 3 inf + 0 11.872 * * [simplify]: Extracting #2: cost 6 inf + 0 11.872 * * [simplify]: Extracting #3: cost 62 inf + 0 11.873 * * [simplify]: Extracting #4: cost 166 inf + 460 11.874 * * [simplify]: Extracting #5: cost 131 inf + 12951 11.878 * * [simplify]: Extracting #6: cost 49 inf + 45746 11.883 * * [simplify]: Extracting #7: cost 1 inf + 66256 11.889 * * [simplify]: Extracting #8: cost 0 inf + 65919 11.894 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 11.894 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (/ (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))))) 11.895 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 11.895 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 11.895 * * [simplify]: iters left: 6 (8 enodes) 11.897 * * [simplify]: iters left: 5 (37 enodes) 11.909 * * [simplify]: iters left: 4 (67 enodes) 11.922 * * [simplify]: iters left: 3 (123 enodes) 11.959 * * [simplify]: iters left: 2 (278 enodes) 12.111 * * [simplify]: Extracting #0: cost 1 inf + 0 12.111 * * [simplify]: Extracting #1: cost 3 inf + 0 12.111 * * [simplify]: Extracting #2: cost 50 inf + 0 12.112 * * [simplify]: Extracting #3: cost 150 inf + 0 12.113 * * [simplify]: Extracting #4: cost 194 inf + 1180 12.115 * * [simplify]: Extracting #5: cost 123 inf + 12421 12.122 * * [simplify]: Extracting #6: cost 12 inf + 33804 12.132 * * [simplify]: Extracting #7: cost 0 inf + 36129 12.141 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.141 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) re))))) 12.141 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 12.141 * [simplify]: Simplifying (+ (* re re) (* im im)) 12.142 * * [simplify]: iters left: 4 (5 enodes) 12.144 * * [simplify]: iters left: 3 (16 enodes) 12.149 * * [simplify]: Extracting #0: cost 1 inf + 0 12.149 * * [simplify]: Extracting #1: cost 4 inf + 0 12.149 * * [simplify]: Extracting #2: cost 8 inf + 0 12.149 * * [simplify]: Extracting #3: cost 4 inf + 84 12.149 * * [simplify]: Extracting #4: cost 0 inf + 410 12.149 * [simplify]: Simplified to (+ (* re re) (* im im)) 12.149 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))))) re))))) 12.149 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 12.150 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 12.150 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 12.150 * * [simplify]: iters left: 5 (6 enodes) 12.153 * * [simplify]: iters left: 4 (19 enodes) 12.158 * * [simplify]: Extracting #0: cost 1 inf + 0 12.158 * * [simplify]: Extracting #1: cost 3 inf + 0 12.158 * * [simplify]: Extracting #2: cost 6 inf + 0 12.158 * * [simplify]: Extracting #3: cost 10 inf + 0 12.158 * * [simplify]: Extracting #4: cost 6 inf + 84 12.158 * * [simplify]: Extracting #5: cost 0 inf + 734 12.159 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 12.159 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (fabs (sqrt (+ (* re re) (* im im))))))) re))))) 12.159 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 12.159 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))> 12.159 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 12.159 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 12.159 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 12.159 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 12.160 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 12.160 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 12.160 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 12.160 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 12.160 * * [simplify]: iters left: 6 (8 enodes) 12.164 * * [simplify]: iters left: 5 (26 enodes) 12.171 * * [simplify]: Extracting #0: cost 1 inf + 0 12.171 * * [simplify]: Extracting #1: cost 4 inf + 0 12.171 * * [simplify]: Extracting #2: cost 7 inf + 0 12.171 * * [simplify]: Extracting #3: cost 10 inf + 0 12.171 * * [simplify]: Extracting #4: cost 14 inf + 0 12.171 * * [simplify]: Extracting #5: cost 10 inf + 84 12.171 * * [simplify]: Extracting #6: cost 8 inf + 166 12.172 * * [simplify]: Extracting #7: cost 4 inf + 854 12.172 * * [simplify]: Extracting #8: cost 1 inf + 1540 12.173 * * [simplify]: Extracting #9: cost 0 inf + 1782 12.173 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 12.173 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.174 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 12.174 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 12.174 * * [simplify]: iters left: 6 (7 enodes) 12.177 * * [simplify]: iters left: 5 (22 enodes) 12.184 * * [simplify]: Extracting #0: cost 1 inf + 0 12.184 * * [simplify]: Extracting #1: cost 3 inf + 0 12.184 * * [simplify]: Extracting #2: cost 5 inf + 0 12.184 * * [simplify]: Extracting #3: cost 8 inf + 0 12.184 * * [simplify]: Extracting #4: cost 12 inf + 0 12.184 * * [simplify]: Extracting #5: cost 10 inf + 2 12.184 * * [simplify]: Extracting #6: cost 1 inf + 936 12.185 * * [simplify]: Extracting #7: cost 0 inf + 1138 12.185 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 12.185 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.185 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 12.186 * [simplify]: Simplifying (sqrt 1) 12.186 * * [simplify]: iters left: 1 (2 enodes) 12.189 * * [simplify]: Extracting #0: cost 1 inf + 0 12.189 * * [simplify]: Extracting #1: cost 0 inf + 1 12.189 * [simplify]: Simplified to 1 12.189 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.189 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 12.190 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 12.190 * * [simplify]: iters left: 6 (9 enodes) 12.196 * * [simplify]: iters left: 5 (45 enodes) 12.216 * * [simplify]: iters left: 4 (100 enodes) 12.263 * * [simplify]: iters left: 3 (201 enodes) 12.352 * * [simplify]: iters left: 2 (406 enodes) 12.475 * * [simplify]: Extracting #0: cost 1 inf + 0 12.475 * * [simplify]: Extracting #1: cost 3 inf + 0 12.475 * * [simplify]: Extracting #2: cost 6 inf + 0 12.475 * * [simplify]: Extracting #3: cost 62 inf + 0 12.476 * * [simplify]: Extracting #4: cost 166 inf + 460 12.477 * * [simplify]: Extracting #5: cost 131 inf + 12951 12.481 * * [simplify]: Extracting #6: cost 49 inf + 45746 12.487 * * [simplify]: Extracting #7: cost 1 inf + 66256 12.492 * * [simplify]: Extracting #8: cost 0 inf + 65919 12.498 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 12.498 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (/ (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)))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.498 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 12.498 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.499 * * [simplify]: iters left: 6 (8 enodes) 12.502 * * [simplify]: iters left: 5 (37 enodes) 12.517 * * [simplify]: iters left: 4 (67 enodes) 12.540 * * [simplify]: iters left: 3 (123 enodes) 12.593 * * [simplify]: iters left: 2 (278 enodes) 12.723 * * [simplify]: Extracting #0: cost 1 inf + 0 12.723 * * [simplify]: Extracting #1: cost 3 inf + 0 12.723 * * [simplify]: Extracting #2: cost 50 inf + 0 12.723 * * [simplify]: Extracting #3: cost 150 inf + 0 12.724 * * [simplify]: Extracting #4: cost 194 inf + 1180 12.727 * * [simplify]: Extracting #5: cost 123 inf + 12421 12.736 * * [simplify]: Extracting #6: cost 12 inf + 33804 12.751 * * [simplify]: Extracting #7: cost 0 inf + 36129 12.763 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.763 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.763 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 12.763 * [simplify]: Simplifying (+ (* re re) (* im im)) 12.763 * * [simplify]: iters left: 4 (5 enodes) 12.765 * * [simplify]: iters left: 3 (16 enodes) 12.767 * * [simplify]: Extracting #0: cost 1 inf + 0 12.767 * * [simplify]: Extracting #1: cost 4 inf + 0 12.767 * * [simplify]: Extracting #2: cost 8 inf + 0 12.767 * * [simplify]: Extracting #3: cost 4 inf + 84 12.767 * * [simplify]: Extracting #4: cost 0 inf + 410 12.767 * [simplify]: Simplified to (+ (* re re) (* im im)) 12.767 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.770 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 12.770 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 12.770 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 12.771 * * [simplify]: iters left: 5 (6 enodes) 12.772 * * [simplify]: iters left: 4 (19 enodes) 12.775 * * [simplify]: Extracting #0: cost 1 inf + 0 12.775 * * [simplify]: Extracting #1: cost 3 inf + 0 12.775 * * [simplify]: Extracting #2: cost 6 inf + 0 12.775 * * [simplify]: Extracting #3: cost 10 inf + 0 12.775 * * [simplify]: Extracting #4: cost 6 inf + 84 12.775 * * [simplify]: Extracting #5: cost 0 inf + 734 12.775 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 12.775 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.776 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 12.776 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 12.776 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 12.776 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 12.776 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 12.776 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 12.776 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 12.776 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 12.776 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 12.776 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 12.776 * * [simplify]: iters left: 6 (8 enodes) 12.778 * * [simplify]: iters left: 5 (26 enodes) 12.782 * * [simplify]: Extracting #0: cost 1 inf + 0 12.782 * * [simplify]: Extracting #1: cost 4 inf + 0 12.782 * * [simplify]: Extracting #2: cost 7 inf + 0 12.782 * * [simplify]: Extracting #3: cost 10 inf + 0 12.782 * * [simplify]: Extracting #4: cost 14 inf + 0 12.782 * * [simplify]: Extracting #5: cost 10 inf + 84 12.782 * * [simplify]: Extracting #6: cost 8 inf + 166 12.782 * * [simplify]: Extracting #7: cost 4 inf + 854 12.782 * * [simplify]: Extracting #8: cost 1 inf + 1540 12.783 * * [simplify]: Extracting #9: cost 0 inf + 1782 12.783 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 12.783 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.783 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 12.784 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 12.784 * * [simplify]: iters left: 6 (7 enodes) 12.787 * * [simplify]: iters left: 5 (22 enodes) 12.794 * * [simplify]: Extracting #0: cost 1 inf + 0 12.794 * * [simplify]: Extracting #1: cost 3 inf + 0 12.794 * * [simplify]: Extracting #2: cost 5 inf + 0 12.794 * * [simplify]: Extracting #3: cost 8 inf + 0 12.794 * * [simplify]: Extracting #4: cost 12 inf + 0 12.794 * * [simplify]: Extracting #5: cost 10 inf + 2 12.794 * * [simplify]: Extracting #6: cost 1 inf + 936 12.795 * * [simplify]: Extracting #7: cost 0 inf + 1138 12.795 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 12.795 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.796 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 12.796 * [simplify]: Simplifying (sqrt 1) 12.796 * * [simplify]: iters left: 1 (2 enodes) 12.799 * * [simplify]: Extracting #0: cost 1 inf + 0 12.799 * * [simplify]: Extracting #1: cost 0 inf + 1 12.799 * [simplify]: Simplified to 1 12.799 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.799 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 12.800 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 12.800 * * [simplify]: iters left: 6 (9 enodes) 12.803 * * [simplify]: iters left: 5 (45 enodes) 12.814 * * [simplify]: iters left: 4 (100 enodes) 12.846 * * [simplify]: iters left: 3 (201 enodes) 12.901 * * [simplify]: iters left: 2 (406 enodes) 13.056 * * [simplify]: Extracting #0: cost 1 inf + 0 13.056 * * [simplify]: Extracting #1: cost 3 inf + 0 13.056 * * [simplify]: Extracting #2: cost 6 inf + 0 13.057 * * [simplify]: Extracting #3: cost 62 inf + 0 13.058 * * [simplify]: Extracting #4: cost 166 inf + 460 13.061 * * [simplify]: Extracting #5: cost 131 inf + 12951 13.068 * * [simplify]: Extracting #6: cost 49 inf + 45746 13.084 * * [simplify]: Extracting #7: cost 1 inf + 66256 13.095 * * [simplify]: Extracting #8: cost 0 inf + 65919 13.106 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 13.106 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (/ (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)))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.106 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 13.107 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.107 * * [simplify]: iters left: 6 (8 enodes) 13.111 * * [simplify]: iters left: 5 (37 enodes) 13.125 * * [simplify]: iters left: 4 (67 enodes) 13.146 * * [simplify]: iters left: 3 (123 enodes) 13.174 * * [simplify]: iters left: 2 (278 enodes) 13.307 * * [simplify]: Extracting #0: cost 1 inf + 0 13.308 * * [simplify]: Extracting #1: cost 3 inf + 0 13.308 * * [simplify]: Extracting #2: cost 50 inf + 0 13.308 * * [simplify]: Extracting #3: cost 150 inf + 0 13.309 * * [simplify]: Extracting #4: cost 194 inf + 1180 13.311 * * [simplify]: Extracting #5: cost 123 inf + 12421 13.318 * * [simplify]: Extracting #6: cost 12 inf + 33804 13.332 * * [simplify]: Extracting #7: cost 0 inf + 36129 13.345 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.345 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.345 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 13.345 * [simplify]: Simplifying (+ (* re re) (* im im)) 13.345 * * [simplify]: iters left: 4 (5 enodes) 13.347 * * [simplify]: iters left: 3 (16 enodes) 13.349 * * [simplify]: Extracting #0: cost 1 inf + 0 13.349 * * [simplify]: Extracting #1: cost 4 inf + 0 13.349 * * [simplify]: Extracting #2: cost 8 inf + 0 13.349 * * [simplify]: Extracting #3: cost 4 inf + 84 13.349 * * [simplify]: Extracting #4: cost 0 inf + 410 13.349 * [simplify]: Simplified to (+ (* re re) (* im im)) 13.349 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.350 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 13.350 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 13.350 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 13.350 * * [simplify]: iters left: 5 (6 enodes) 13.351 * * [simplify]: iters left: 4 (19 enodes) 13.354 * * [simplify]: Extracting #0: cost 1 inf + 0 13.354 * * [simplify]: Extracting #1: cost 3 inf + 0 13.354 * * [simplify]: Extracting #2: cost 6 inf + 0 13.354 * * [simplify]: Extracting #3: cost 10 inf + 0 13.354 * * [simplify]: Extracting #4: cost 6 inf + 84 13.354 * * [simplify]: Extracting #5: cost 0 inf + 734 13.354 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.354 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.355 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 13.355 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 13.355 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 13.355 * [simplify]: Simplifying (/ (exp (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re)) 13.355 * * [simplify]: iters left: 6 (13 enodes) 13.358 * * [simplify]: iters left: 5 (48 enodes) 13.365 * * [simplify]: iters left: 4 (62 enodes) 13.384 * * [simplify]: iters left: 3 (94 enodes) 13.415 * * [simplify]: iters left: 2 (167 enodes) 13.456 * * [simplify]: iters left: 1 (379 enodes) 13.621 * * [simplify]: Extracting #0: cost 1 inf + 0 13.621 * * [simplify]: Extracting #1: cost 58 inf + 0 13.622 * * [simplify]: Extracting #2: cost 172 inf + 0 13.624 * * [simplify]: Extracting #3: cost 266 inf + 45 13.626 * * [simplify]: Extracting #4: cost 302 inf + 493 13.628 * * [simplify]: Extracting #5: cost 302 inf + 607 13.631 * * [simplify]: Extracting #6: cost 290 inf + 2076 13.637 * * [simplify]: Extracting #7: cost 250 inf + 14759 13.661 * * [simplify]: Extracting #8: cost 128 inf + 74107 13.702 * * [simplify]: Extracting #9: cost 32 inf + 148742 13.753 * * [simplify]: Extracting #10: cost 0 inf + 180805 13.798 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 13.798 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 13.798 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 13.798 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> 13.798 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 13.799 * [simplify]: Simplifying im 13.799 * * [simplify]: iters left: 0 (1 enodes) 13.799 * * [simplify]: Extracting #0: cost 1 inf + 0 13.799 * * [simplify]: Extracting #1: cost 0 inf + 1 13.799 * [simplify]: Simplified to im 13.799 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt im))) re))))) 13.799 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 13.799 * [simplify]: Simplifying re 13.799 * * [simplify]: iters left: 0 (1 enodes) 13.800 * * [simplify]: Extracting #0: cost 1 inf + 0 13.800 * * [simplify]: Extracting #1: cost 0 inf + 1 13.800 * [simplify]: Simplified to re 13.800 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt re))) re))))) 13.800 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 13.800 * [simplify]: Simplifying (* -1 re) 13.800 * * [simplify]: iters left: 2 (3 enodes) 13.801 * * [simplify]: iters left: 1 (11 enodes) 13.803 * * [simplify]: Extracting #0: cost 1 inf + 0 13.803 * * [simplify]: Extracting #1: cost 4 inf + 0 13.803 * * [simplify]: Extracting #2: cost 0 inf + 84 13.804 * [simplify]: Simplified to (- re) 13.804 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (- re)))) re))))) 13.804 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 13.804 * [simplify]: Simplifying im 13.804 * * [simplify]: iters left: 0 (1 enodes) 13.805 * * [simplify]: Extracting #0: cost 1 inf + 0 13.805 * * [simplify]: Extracting #1: cost 0 inf + 1 13.805 * [simplify]: Simplified to im 13.805 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt im)) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.805 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 13.805 * [simplify]: Simplifying re 13.805 * * [simplify]: iters left: 0 (1 enodes) 13.806 * * [simplify]: Extracting #0: cost 1 inf + 0 13.806 * * [simplify]: Extracting #1: cost 0 inf + 1 13.806 * [simplify]: Simplified to re 13.806 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt re)) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.806 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 13.806 * [simplify]: Simplifying (* -1 re) 13.806 * * [simplify]: iters left: 2 (3 enodes) 13.809 * * [simplify]: iters left: 1 (11 enodes) 13.812 * * [simplify]: Extracting #0: cost 1 inf + 0 13.812 * * [simplify]: Extracting #1: cost 4 inf + 0 13.812 * * [simplify]: Extracting #2: cost 0 inf + 84 13.812 * [simplify]: Simplified to (- re) 13.812 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- re))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.812 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 13.813 * [simplify]: Simplifying im 13.813 * * [simplify]: iters left: 0 (1 enodes) 13.813 * * [simplify]: Extracting #0: cost 1 inf + 0 13.813 * * [simplify]: Extracting #1: cost 0 inf + 1 13.813 * [simplify]: Simplified to im 13.813 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt im)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.814 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 13.814 * [simplify]: Simplifying re 13.814 * * [simplify]: iters left: 0 (1 enodes) 13.814 * * [simplify]: Extracting #0: cost 1 inf + 0 13.814 * * [simplify]: Extracting #1: cost 0 inf + 1 13.815 * [simplify]: Simplified to re 13.815 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt re)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.815 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 13.815 * [simplify]: Simplifying (* -1 re) 13.815 * * [simplify]: iters left: 2 (3 enodes) 13.817 * * [simplify]: iters left: 1 (11 enodes) 13.820 * * [simplify]: Extracting #0: cost 1 inf + 0 13.821 * * [simplify]: Extracting #1: cost 4 inf + 0 13.821 * * [simplify]: Extracting #2: cost 0 inf + 84 13.821 * [simplify]: Simplified to (- re) 13.821 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (- re))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.821 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 13.821 * [simplify]: Simplifying (- im re) 13.821 * * [simplify]: iters left: 2 (3 enodes) 13.823 * * [simplify]: iters left: 1 (11 enodes) 13.826 * * [simplify]: Extracting #0: cost 1 inf + 0 13.826 * * [simplify]: Extracting #1: cost 5 inf + 0 13.826 * * [simplify]: Extracting #2: cost 3 inf + 43 13.826 * * [simplify]: Extracting #3: cost 0 inf + 168 13.826 * [simplify]: Simplified to (- im re) 13.826 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 13.826 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 13.827 * [simplify]: Simplifying 0 13.827 * * [simplify]: iters left: 0 (1 enodes) 13.828 * * [simplify]: Extracting #0: cost 1 inf + 0 13.828 * * [simplify]: Extracting #1: cost 0 inf + 1 13.828 * [simplify]: Simplified to 0 13.828 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 13.828 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 13.828 * [simplify]: Simplifying (* -2 re) 13.828 * * [simplify]: iters left: 2 (3 enodes) 13.830 * * [simplify]: iters left: 1 (10 enodes) 13.834 * * [simplify]: Extracting #0: cost 1 inf + 0 13.834 * * [simplify]: Extracting #1: cost 4 inf + 0 13.834 * * [simplify]: Extracting #2: cost 2 inf + 2 13.834 * * [simplify]: Extracting #3: cost 0 inf + 86 13.834 * [simplify]: Simplified to (* -2 re) 13.834 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 13.834 * * * [progress]: adding candidates to table 14.872 * * [progress]: iteration 4 / 4 14.872 * * * [progress]: picking best candidate 14.965 * * * * [pick]: Picked # 14.965 * * * [progress]: localizing error 15.032 * * * [progress]: generating rewritten candidates 15.032 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 2 1) 15.040 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 15.048 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 15.060 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 15.141 * * * [progress]: generating series expansions 15.141 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 2 1) 15.142 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 15.142 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 15.142 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 15.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 15.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 15.142 * [taylor]: Taking taylor expansion of 1/3 in im 15.142 * [backup-simplify]: Simplify 1/3 into 1/3 15.142 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 15.142 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 15.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.142 * [taylor]: Taking taylor expansion of im in im 15.142 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify 1 into 1 15.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.142 * [taylor]: Taking taylor expansion of re in im 15.142 * [backup-simplify]: Simplify re into re 15.142 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.142 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 15.142 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 15.143 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 15.143 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 15.143 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 15.143 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 15.143 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 15.143 * [taylor]: Taking taylor expansion of 1/3 in re 15.143 * [backup-simplify]: Simplify 1/3 into 1/3 15.143 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 15.143 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.143 * [taylor]: Taking taylor expansion of im in re 15.143 * [backup-simplify]: Simplify im into im 15.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.143 * [taylor]: Taking taylor expansion of re in re 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [backup-simplify]: Simplify 1 into 1 15.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.143 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.143 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.144 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.144 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.144 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 15.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 15.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 15.144 * [taylor]: Taking taylor expansion of 1/3 in re 15.144 * [backup-simplify]: Simplify 1/3 into 1/3 15.144 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 15.144 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.144 * [taylor]: Taking taylor expansion of im in re 15.144 * [backup-simplify]: Simplify im into im 15.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.144 * [taylor]: Taking taylor expansion of re in re 15.144 * [backup-simplify]: Simplify 0 into 0 15.144 * [backup-simplify]: Simplify 1 into 1 15.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.144 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.144 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.144 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.145 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.145 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 15.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 15.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 15.145 * [taylor]: Taking taylor expansion of 1/3 in im 15.145 * [backup-simplify]: Simplify 1/3 into 1/3 15.145 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 15.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.145 * [taylor]: Taking taylor expansion of im in im 15.145 * [backup-simplify]: Simplify 0 into 0 15.145 * [backup-simplify]: Simplify 1 into 1 15.146 * [backup-simplify]: Simplify (* 1 1) into 1 15.146 * [backup-simplify]: Simplify (log 1) into 0 15.147 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.147 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 15.147 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 15.147 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 15.148 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.148 * [backup-simplify]: Simplify (+ 0 0) into 0 15.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 15.150 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 15.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.151 * [taylor]: Taking taylor expansion of 0 in im 15.151 * [backup-simplify]: Simplify 0 into 0 15.151 * [backup-simplify]: Simplify 0 into 0 15.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.154 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 15.155 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.155 * [backup-simplify]: Simplify 0 into 0 15.157 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.157 * [backup-simplify]: Simplify (* 1 1) into 1 15.157 * [backup-simplify]: Simplify (+ 0 1) into 1 15.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 15.160 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 15.161 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.161 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 15.161 * [taylor]: Taking taylor expansion of 1/3 in im 15.161 * [backup-simplify]: Simplify 1/3 into 1/3 15.161 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 15.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 15.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 15.161 * [taylor]: Taking taylor expansion of 1/3 in im 15.161 * [backup-simplify]: Simplify 1/3 into 1/3 15.161 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 15.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 15.161 * [taylor]: Taking taylor expansion of (pow im 4) in im 15.161 * [taylor]: Taking taylor expansion of im in im 15.161 * [backup-simplify]: Simplify 0 into 0 15.161 * [backup-simplify]: Simplify 1 into 1 15.162 * [backup-simplify]: Simplify (* 1 1) into 1 15.162 * [backup-simplify]: Simplify (* 1 1) into 1 15.162 * [backup-simplify]: Simplify (/ 1 1) into 1 15.163 * [backup-simplify]: Simplify (log 1) into 0 15.163 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 15.163 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 15.163 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 15.164 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.164 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.164 * [backup-simplify]: Simplify 0 into 0 15.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.168 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 15.170 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.170 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.172 * [backup-simplify]: Simplify (+ 0 0) into 0 15.175 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 15.176 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 15.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.178 * [taylor]: Taking taylor expansion of 0 in im 15.178 * [backup-simplify]: Simplify 0 into 0 15.178 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.182 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 15.183 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 15.183 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.190 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.191 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 15.194 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.194 * [backup-simplify]: Simplify 0 into 0 15.194 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 15.195 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 15.195 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 15.195 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 15.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 15.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 15.195 * [taylor]: Taking taylor expansion of 1/3 in im 15.195 * [backup-simplify]: Simplify 1/3 into 1/3 15.195 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.195 * [taylor]: Taking taylor expansion of re in im 15.195 * [backup-simplify]: Simplify re into re 15.195 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.195 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.195 * [taylor]: Taking taylor expansion of im in im 15.195 * [backup-simplify]: Simplify 0 into 0 15.195 * [backup-simplify]: Simplify 1 into 1 15.196 * [backup-simplify]: Simplify (* 1 1) into 1 15.196 * [backup-simplify]: Simplify (/ 1 1) into 1 15.197 * [backup-simplify]: Simplify (+ 0 1) into 1 15.197 * [backup-simplify]: Simplify (log 1) into 0 15.197 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.198 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.198 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.198 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.198 * [taylor]: Taking taylor expansion of 1/3 in re 15.198 * [backup-simplify]: Simplify 1/3 into 1/3 15.198 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.198 * [taylor]: Taking taylor expansion of re in re 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 1 into 1 15.198 * [backup-simplify]: Simplify (* 1 1) into 1 15.199 * [backup-simplify]: Simplify (/ 1 1) into 1 15.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.199 * [taylor]: Taking taylor expansion of im in re 15.199 * [backup-simplify]: Simplify im into im 15.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.199 * [backup-simplify]: Simplify (+ 1 0) into 1 15.200 * [backup-simplify]: Simplify (log 1) into 0 15.200 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.200 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.200 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.200 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.201 * [taylor]: Taking taylor expansion of 1/3 in re 15.201 * [backup-simplify]: Simplify 1/3 into 1/3 15.201 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.201 * [taylor]: Taking taylor expansion of re in re 15.201 * [backup-simplify]: Simplify 0 into 0 15.201 * [backup-simplify]: Simplify 1 into 1 15.201 * [backup-simplify]: Simplify (* 1 1) into 1 15.202 * [backup-simplify]: Simplify (/ 1 1) into 1 15.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.202 * [taylor]: Taking taylor expansion of im in re 15.202 * [backup-simplify]: Simplify im into im 15.202 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.202 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.202 * [backup-simplify]: Simplify (+ 1 0) into 1 15.203 * [backup-simplify]: Simplify (log 1) into 0 15.203 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.203 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.203 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.203 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 15.203 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 15.203 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 15.203 * [taylor]: Taking taylor expansion of -2/3 in im 15.203 * [backup-simplify]: Simplify -2/3 into -2/3 15.204 * [taylor]: Taking taylor expansion of (log re) in im 15.204 * [taylor]: Taking taylor expansion of re in im 15.204 * [backup-simplify]: Simplify re into re 15.204 * [backup-simplify]: Simplify (log re) into (log re) 15.204 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 15.204 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.204 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 15.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.206 * [backup-simplify]: Simplify (+ 0 0) into 0 15.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.207 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.208 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.209 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.209 * [taylor]: Taking taylor expansion of 0 in im 15.209 * [backup-simplify]: Simplify 0 into 0 15.209 * [backup-simplify]: Simplify 0 into 0 15.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.210 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 15.211 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.211 * [backup-simplify]: Simplify 0 into 0 15.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.216 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.216 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.217 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.217 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 15.217 * [taylor]: Taking taylor expansion of 1/3 in im 15.217 * [backup-simplify]: Simplify 1/3 into 1/3 15.217 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 15.217 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.217 * [taylor]: Taking taylor expansion of 1/3 in im 15.217 * [backup-simplify]: Simplify 1/3 into 1/3 15.217 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.218 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.218 * [taylor]: Taking taylor expansion of re in im 15.218 * [backup-simplify]: Simplify re into re 15.218 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.218 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.218 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.218 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.218 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.218 * [taylor]: Taking taylor expansion of im in im 15.218 * [backup-simplify]: Simplify 0 into 0 15.218 * [backup-simplify]: Simplify 1 into 1 15.219 * [backup-simplify]: Simplify (* 1 1) into 1 15.219 * [backup-simplify]: Simplify (/ 1 1) into 1 15.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.222 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.224 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.225 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.225 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.228 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.230 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.230 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.231 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 15.231 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 15.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 15.232 * [backup-simplify]: Simplify 0 into 0 15.232 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.235 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.236 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.236 * [backup-simplify]: Simplify 0 into 0 15.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.239 * [backup-simplify]: Simplify (+ 0 0) into 0 15.243 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.244 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 15.247 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.247 * [taylor]: Taking taylor expansion of 0 in im 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 15.248 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 15.248 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 15.248 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 15.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 15.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 15.248 * [taylor]: Taking taylor expansion of 1/3 in im 15.248 * [backup-simplify]: Simplify 1/3 into 1/3 15.248 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.248 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.248 * [taylor]: Taking taylor expansion of re in im 15.248 * [backup-simplify]: Simplify re into re 15.248 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.248 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.248 * [taylor]: Taking taylor expansion of im in im 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 1 into 1 15.249 * [backup-simplify]: Simplify (* 1 1) into 1 15.249 * [backup-simplify]: Simplify (/ 1 1) into 1 15.250 * [backup-simplify]: Simplify (+ 0 1) into 1 15.250 * [backup-simplify]: Simplify (log 1) into 0 15.250 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.251 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.251 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.251 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.251 * [taylor]: Taking taylor expansion of 1/3 in re 15.251 * [backup-simplify]: Simplify 1/3 into 1/3 15.251 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.251 * [taylor]: Taking taylor expansion of re in re 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (* 1 1) into 1 15.252 * [backup-simplify]: Simplify (/ 1 1) into 1 15.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.252 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.252 * [taylor]: Taking taylor expansion of im in re 15.252 * [backup-simplify]: Simplify im into im 15.252 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.253 * [backup-simplify]: Simplify (+ 1 0) into 1 15.253 * [backup-simplify]: Simplify (log 1) into 0 15.253 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.253 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.254 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.254 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.254 * [taylor]: Taking taylor expansion of 1/3 in re 15.254 * [backup-simplify]: Simplify 1/3 into 1/3 15.254 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.254 * [taylor]: Taking taylor expansion of re in re 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify 1 into 1 15.254 * [backup-simplify]: Simplify (* 1 1) into 1 15.255 * [backup-simplify]: Simplify (/ 1 1) into 1 15.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.255 * [taylor]: Taking taylor expansion of im in re 15.255 * [backup-simplify]: Simplify im into im 15.255 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.255 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.255 * [backup-simplify]: Simplify (+ 1 0) into 1 15.256 * [backup-simplify]: Simplify (log 1) into 0 15.256 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.256 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.257 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.257 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 15.257 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 15.257 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 15.257 * [taylor]: Taking taylor expansion of -2/3 in im 15.257 * [backup-simplify]: Simplify -2/3 into -2/3 15.257 * [taylor]: Taking taylor expansion of (log re) in im 15.257 * [taylor]: Taking taylor expansion of re in im 15.257 * [backup-simplify]: Simplify re into re 15.257 * [backup-simplify]: Simplify (log re) into (log re) 15.257 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 15.257 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.257 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 15.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.259 * [backup-simplify]: Simplify (+ 0 0) into 0 15.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.264 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.264 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.265 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.265 * [taylor]: Taking taylor expansion of 0 in im 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [backup-simplify]: Simplify 0 into 0 15.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.266 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 15.267 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.267 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.269 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.272 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.272 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.273 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.274 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 15.274 * [taylor]: Taking taylor expansion of 1/3 in im 15.274 * [backup-simplify]: Simplify 1/3 into 1/3 15.274 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 15.274 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.274 * [taylor]: Taking taylor expansion of 1/3 in im 15.274 * [backup-simplify]: Simplify 1/3 into 1/3 15.274 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.274 * [taylor]: Taking taylor expansion of re in im 15.274 * [backup-simplify]: Simplify re into re 15.274 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.274 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.274 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.274 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.274 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.275 * [taylor]: Taking taylor expansion of im in im 15.275 * [backup-simplify]: Simplify 0 into 0 15.275 * [backup-simplify]: Simplify 1 into 1 15.275 * [backup-simplify]: Simplify (* 1 1) into 1 15.275 * [backup-simplify]: Simplify (/ 1 1) into 1 15.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.279 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.281 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.282 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.287 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.288 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 15.288 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 15.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 15.289 * [backup-simplify]: Simplify 0 into 0 15.289 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.291 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.293 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.293 * [backup-simplify]: Simplify 0 into 0 15.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.295 * [backup-simplify]: Simplify (+ 0 0) into 0 15.299 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.299 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 15.303 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.303 * [taylor]: Taking taylor expansion of 0 in im 15.303 * [backup-simplify]: Simplify 0 into 0 15.303 * [backup-simplify]: Simplify 0 into 0 15.303 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 15.303 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 15.303 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 15.303 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 15.303 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 15.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 15.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 15.303 * [taylor]: Taking taylor expansion of 1/3 in im 15.303 * [backup-simplify]: Simplify 1/3 into 1/3 15.303 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 15.303 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 15.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.303 * [taylor]: Taking taylor expansion of im in im 15.303 * [backup-simplify]: Simplify 0 into 0 15.303 * [backup-simplify]: Simplify 1 into 1 15.303 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.303 * [taylor]: Taking taylor expansion of re in im 15.303 * [backup-simplify]: Simplify re into re 15.303 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.303 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 15.304 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 15.304 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 15.304 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 15.304 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 15.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 15.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 15.304 * [taylor]: Taking taylor expansion of 1/3 in re 15.304 * [backup-simplify]: Simplify 1/3 into 1/3 15.304 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 15.304 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.304 * [taylor]: Taking taylor expansion of im in re 15.304 * [backup-simplify]: Simplify im into im 15.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.304 * [taylor]: Taking taylor expansion of re in re 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 1 into 1 15.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.304 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.304 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.304 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.304 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.304 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 15.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 15.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 15.304 * [taylor]: Taking taylor expansion of 1/3 in re 15.304 * [backup-simplify]: Simplify 1/3 into 1/3 15.304 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 15.304 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.304 * [taylor]: Taking taylor expansion of im in re 15.304 * [backup-simplify]: Simplify im into im 15.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.304 * [taylor]: Taking taylor expansion of re in re 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 1 into 1 15.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.304 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.304 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.305 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.305 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.305 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 15.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 15.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 15.305 * [taylor]: Taking taylor expansion of 1/3 in im 15.305 * [backup-simplify]: Simplify 1/3 into 1/3 15.305 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 15.305 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.305 * [taylor]: Taking taylor expansion of im in im 15.305 * [backup-simplify]: Simplify 0 into 0 15.305 * [backup-simplify]: Simplify 1 into 1 15.305 * [backup-simplify]: Simplify (* 1 1) into 1 15.305 * [backup-simplify]: Simplify (log 1) into 0 15.306 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.306 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 15.306 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 15.306 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 15.306 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.306 * [backup-simplify]: Simplify (+ 0 0) into 0 15.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 15.307 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 15.307 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.307 * [taylor]: Taking taylor expansion of 0 in im 15.308 * [backup-simplify]: Simplify 0 into 0 15.308 * [backup-simplify]: Simplify 0 into 0 15.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.309 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 15.310 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.310 * [backup-simplify]: Simplify 0 into 0 15.310 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.310 * [backup-simplify]: Simplify (* 1 1) into 1 15.311 * [backup-simplify]: Simplify (+ 0 1) into 1 15.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 15.312 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 15.313 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.313 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 15.313 * [taylor]: Taking taylor expansion of 1/3 in im 15.313 * [backup-simplify]: Simplify 1/3 into 1/3 15.313 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 15.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 15.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 15.313 * [taylor]: Taking taylor expansion of 1/3 in im 15.313 * [backup-simplify]: Simplify 1/3 into 1/3 15.313 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 15.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 15.313 * [taylor]: Taking taylor expansion of (pow im 4) in im 15.313 * [taylor]: Taking taylor expansion of im in im 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 1 into 1 15.313 * [backup-simplify]: Simplify (* 1 1) into 1 15.313 * [backup-simplify]: Simplify (* 1 1) into 1 15.313 * [backup-simplify]: Simplify (/ 1 1) into 1 15.314 * [backup-simplify]: Simplify (log 1) into 0 15.314 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 15.314 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 15.314 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 15.314 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.314 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.314 * [backup-simplify]: Simplify 0 into 0 15.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.317 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 15.318 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.318 * [backup-simplify]: Simplify 0 into 0 15.319 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.319 * [backup-simplify]: Simplify (+ 0 0) into 0 15.321 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 15.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 15.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.323 * [taylor]: Taking taylor expansion of 0 in im 15.323 * [backup-simplify]: Simplify 0 into 0 15.323 * [backup-simplify]: Simplify 0 into 0 15.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.325 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 15.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 15.326 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 15.326 * [backup-simplify]: Simplify 0 into 0 15.326 * [backup-simplify]: Simplify 0 into 0 15.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.329 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.330 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 15.331 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.331 * [backup-simplify]: Simplify 0 into 0 15.332 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 15.332 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 15.332 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 15.332 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 15.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 15.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 15.332 * [taylor]: Taking taylor expansion of 1/3 in im 15.332 * [backup-simplify]: Simplify 1/3 into 1/3 15.332 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.332 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.332 * [taylor]: Taking taylor expansion of re in im 15.332 * [backup-simplify]: Simplify re into re 15.332 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.332 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.332 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.332 * [taylor]: Taking taylor expansion of im in im 15.332 * [backup-simplify]: Simplify 0 into 0 15.332 * [backup-simplify]: Simplify 1 into 1 15.333 * [backup-simplify]: Simplify (* 1 1) into 1 15.333 * [backup-simplify]: Simplify (/ 1 1) into 1 15.333 * [backup-simplify]: Simplify (+ 0 1) into 1 15.333 * [backup-simplify]: Simplify (log 1) into 0 15.334 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.334 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.334 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.334 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.334 * [taylor]: Taking taylor expansion of 1/3 in re 15.334 * [backup-simplify]: Simplify 1/3 into 1/3 15.334 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.334 * [taylor]: Taking taylor expansion of re in re 15.334 * [backup-simplify]: Simplify 0 into 0 15.334 * [backup-simplify]: Simplify 1 into 1 15.334 * [backup-simplify]: Simplify (* 1 1) into 1 15.334 * [backup-simplify]: Simplify (/ 1 1) into 1 15.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.334 * [taylor]: Taking taylor expansion of im in re 15.334 * [backup-simplify]: Simplify im into im 15.334 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.335 * [backup-simplify]: Simplify (+ 1 0) into 1 15.335 * [backup-simplify]: Simplify (log 1) into 0 15.335 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.335 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.335 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.335 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.336 * [taylor]: Taking taylor expansion of 1/3 in re 15.336 * [backup-simplify]: Simplify 1/3 into 1/3 15.336 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.336 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.336 * [taylor]: Taking taylor expansion of re in re 15.336 * [backup-simplify]: Simplify 0 into 0 15.336 * [backup-simplify]: Simplify 1 into 1 15.336 * [backup-simplify]: Simplify (* 1 1) into 1 15.336 * [backup-simplify]: Simplify (/ 1 1) into 1 15.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.336 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.336 * [taylor]: Taking taylor expansion of im in re 15.336 * [backup-simplify]: Simplify im into im 15.336 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.337 * [backup-simplify]: Simplify (+ 1 0) into 1 15.337 * [backup-simplify]: Simplify (log 1) into 0 15.337 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.337 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.337 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.337 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 15.337 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 15.337 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 15.337 * [taylor]: Taking taylor expansion of -2/3 in im 15.337 * [backup-simplify]: Simplify -2/3 into -2/3 15.337 * [taylor]: Taking taylor expansion of (log re) in im 15.337 * [taylor]: Taking taylor expansion of re in im 15.337 * [backup-simplify]: Simplify re into re 15.337 * [backup-simplify]: Simplify (log re) into (log re) 15.337 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 15.338 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.338 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 15.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.339 * [backup-simplify]: Simplify (+ 0 0) into 0 15.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.341 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.342 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.342 * [taylor]: Taking taylor expansion of 0 in im 15.342 * [backup-simplify]: Simplify 0 into 0 15.342 * [backup-simplify]: Simplify 0 into 0 15.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.343 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 15.344 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.344 * [backup-simplify]: Simplify 0 into 0 15.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.346 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.348 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.349 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.350 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.350 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 15.350 * [taylor]: Taking taylor expansion of 1/3 in im 15.350 * [backup-simplify]: Simplify 1/3 into 1/3 15.350 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 15.350 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.350 * [taylor]: Taking taylor expansion of 1/3 in im 15.350 * [backup-simplify]: Simplify 1/3 into 1/3 15.350 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.350 * [taylor]: Taking taylor expansion of re in im 15.350 * [backup-simplify]: Simplify re into re 15.350 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.350 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.351 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.351 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.351 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.351 * [taylor]: Taking taylor expansion of im in im 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.351 * [backup-simplify]: Simplify (* 1 1) into 1 15.352 * [backup-simplify]: Simplify (/ 1 1) into 1 15.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.355 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.358 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.363 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.363 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.364 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 15.364 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 15.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify 0 into 0 15.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.368 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.369 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.369 * [backup-simplify]: Simplify 0 into 0 15.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.372 * [backup-simplify]: Simplify (+ 0 0) into 0 15.376 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.377 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 15.380 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.380 * [taylor]: Taking taylor expansion of 0 in im 15.380 * [backup-simplify]: Simplify 0 into 0 15.380 * [backup-simplify]: Simplify 0 into 0 15.380 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 15.380 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 15.381 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 15.381 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 15.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 15.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 15.381 * [taylor]: Taking taylor expansion of 1/3 in im 15.381 * [backup-simplify]: Simplify 1/3 into 1/3 15.381 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.381 * [taylor]: Taking taylor expansion of re in im 15.381 * [backup-simplify]: Simplify re into re 15.381 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.381 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.381 * [taylor]: Taking taylor expansion of im in im 15.381 * [backup-simplify]: Simplify 0 into 0 15.381 * [backup-simplify]: Simplify 1 into 1 15.382 * [backup-simplify]: Simplify (* 1 1) into 1 15.382 * [backup-simplify]: Simplify (/ 1 1) into 1 15.382 * [backup-simplify]: Simplify (+ 0 1) into 1 15.383 * [backup-simplify]: Simplify (log 1) into 0 15.383 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.383 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.384 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.384 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.384 * [taylor]: Taking taylor expansion of 1/3 in re 15.384 * [backup-simplify]: Simplify 1/3 into 1/3 15.384 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.384 * [taylor]: Taking taylor expansion of re in re 15.384 * [backup-simplify]: Simplify 0 into 0 15.384 * [backup-simplify]: Simplify 1 into 1 15.384 * [backup-simplify]: Simplify (* 1 1) into 1 15.385 * [backup-simplify]: Simplify (/ 1 1) into 1 15.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.385 * [taylor]: Taking taylor expansion of im in re 15.385 * [backup-simplify]: Simplify im into im 15.385 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.386 * [backup-simplify]: Simplify (+ 1 0) into 1 15.386 * [backup-simplify]: Simplify (log 1) into 0 15.386 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.387 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.387 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.387 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.387 * [taylor]: Taking taylor expansion of 1/3 in re 15.387 * [backup-simplify]: Simplify 1/3 into 1/3 15.387 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.387 * [taylor]: Taking taylor expansion of re in re 15.387 * [backup-simplify]: Simplify 0 into 0 15.387 * [backup-simplify]: Simplify 1 into 1 15.389 * [backup-simplify]: Simplify (* 1 1) into 1 15.389 * [backup-simplify]: Simplify (/ 1 1) into 1 15.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.389 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.389 * [taylor]: Taking taylor expansion of im in re 15.390 * [backup-simplify]: Simplify im into im 15.390 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.390 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.390 * [backup-simplify]: Simplify (+ 1 0) into 1 15.391 * [backup-simplify]: Simplify (log 1) into 0 15.391 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.391 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.391 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.391 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 15.391 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 15.391 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 15.391 * [taylor]: Taking taylor expansion of -2/3 in im 15.391 * [backup-simplify]: Simplify -2/3 into -2/3 15.391 * [taylor]: Taking taylor expansion of (log re) in im 15.391 * [taylor]: Taking taylor expansion of re in im 15.391 * [backup-simplify]: Simplify re into re 15.392 * [backup-simplify]: Simplify (log re) into (log re) 15.392 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 15.392 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.392 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 15.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.393 * [backup-simplify]: Simplify (+ 0 0) into 0 15.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.395 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.396 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.396 * [taylor]: Taking taylor expansion of 0 in im 15.396 * [backup-simplify]: Simplify 0 into 0 15.396 * [backup-simplify]: Simplify 0 into 0 15.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.397 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 15.397 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.397 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.400 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.400 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.400 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.401 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.401 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 15.401 * [taylor]: Taking taylor expansion of 1/3 in im 15.401 * [backup-simplify]: Simplify 1/3 into 1/3 15.401 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 15.401 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.401 * [taylor]: Taking taylor expansion of 1/3 in im 15.401 * [backup-simplify]: Simplify 1/3 into 1/3 15.401 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.401 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.401 * [taylor]: Taking taylor expansion of re in im 15.401 * [backup-simplify]: Simplify re into re 15.401 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.401 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.401 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.401 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.401 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.401 * [taylor]: Taking taylor expansion of im in im 15.401 * [backup-simplify]: Simplify 0 into 0 15.401 * [backup-simplify]: Simplify 1 into 1 15.402 * [backup-simplify]: Simplify (* 1 1) into 1 15.402 * [backup-simplify]: Simplify (/ 1 1) into 1 15.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.404 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.405 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.406 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.408 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.409 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.409 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 15.409 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 15.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [backup-simplify]: Simplify 0 into 0 15.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.411 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.412 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.412 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.414 * [backup-simplify]: Simplify (+ 0 0) into 0 15.416 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.416 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 15.418 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.418 * [taylor]: Taking taylor expansion of 0 in im 15.418 * [backup-simplify]: Simplify 0 into 0 15.418 * [backup-simplify]: Simplify 0 into 0 15.418 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 15.418 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 15.418 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 15.418 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 15.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 15.418 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 15.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.419 * [taylor]: Taking taylor expansion of im in im 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify 1 into 1 15.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.419 * [taylor]: Taking taylor expansion of re in im 15.419 * [backup-simplify]: Simplify re into re 15.419 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.419 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 15.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.419 * [backup-simplify]: Simplify (+ 0 0) into 0 15.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 15.419 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.419 * [taylor]: Taking taylor expansion of im in re 15.419 * [backup-simplify]: Simplify im into im 15.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.419 * [taylor]: Taking taylor expansion of re in re 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify 1 into 1 15.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.419 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.419 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.419 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.420 * [backup-simplify]: Simplify (+ 0 0) into 0 15.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 15.420 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.420 * [taylor]: Taking taylor expansion of im in re 15.420 * [backup-simplify]: Simplify im into im 15.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.420 * [taylor]: Taking taylor expansion of re in re 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify 1 into 1 15.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.420 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.420 * [backup-simplify]: Simplify (+ 0 0) into 0 15.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.421 * [taylor]: Taking taylor expansion of im in im 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [backup-simplify]: Simplify 1 into 1 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [taylor]: Taking taylor expansion of 0 in im 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [backup-simplify]: Simplify 1 into 1 15.421 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.421 * [backup-simplify]: Simplify (* 1 1) into 1 15.422 * [backup-simplify]: Simplify (+ 0 1) into 1 15.422 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.422 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 15.422 * [taylor]: Taking taylor expansion of 1/2 in im 15.422 * [backup-simplify]: Simplify 1/2 into 1/2 15.422 * [taylor]: Taking taylor expansion of im in im 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 1 into 1 15.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.423 * [backup-simplify]: Simplify 0 into 0 15.423 * [backup-simplify]: Simplify 0 into 0 15.423 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.424 * [backup-simplify]: Simplify (+ 0 0) into 0 15.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.424 * [taylor]: Taking taylor expansion of 0 in im 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.425 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 15.425 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 15.425 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 15.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.425 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.425 * [taylor]: Taking taylor expansion of re in im 15.425 * [backup-simplify]: Simplify re into re 15.425 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.425 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.425 * [taylor]: Taking taylor expansion of im in im 15.426 * [backup-simplify]: Simplify 0 into 0 15.426 * [backup-simplify]: Simplify 1 into 1 15.426 * [backup-simplify]: Simplify (* 1 1) into 1 15.426 * [backup-simplify]: Simplify (/ 1 1) into 1 15.426 * [backup-simplify]: Simplify (+ 0 1) into 1 15.427 * [backup-simplify]: Simplify (sqrt 1) into 1 15.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.428 * [backup-simplify]: Simplify (+ 0 0) into 0 15.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.428 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.428 * [taylor]: Taking taylor expansion of re in re 15.428 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify 1 into 1 15.428 * [backup-simplify]: Simplify (* 1 1) into 1 15.429 * [backup-simplify]: Simplify (/ 1 1) into 1 15.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.429 * [taylor]: Taking taylor expansion of im in re 15.429 * [backup-simplify]: Simplify im into im 15.429 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.429 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.429 * [backup-simplify]: Simplify (+ 1 0) into 1 15.429 * [backup-simplify]: Simplify (sqrt 1) into 1 15.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.430 * [backup-simplify]: Simplify (+ 0 0) into 0 15.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.431 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.431 * [taylor]: Taking taylor expansion of re in re 15.431 * [backup-simplify]: Simplify 0 into 0 15.431 * [backup-simplify]: Simplify 1 into 1 15.431 * [backup-simplify]: Simplify (* 1 1) into 1 15.431 * [backup-simplify]: Simplify (/ 1 1) into 1 15.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.432 * [taylor]: Taking taylor expansion of im in re 15.432 * [backup-simplify]: Simplify im into im 15.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.432 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.432 * [backup-simplify]: Simplify (+ 1 0) into 1 15.432 * [backup-simplify]: Simplify (sqrt 1) into 1 15.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.433 * [backup-simplify]: Simplify (+ 0 0) into 0 15.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.434 * [taylor]: Taking taylor expansion of 1 in im 15.434 * [backup-simplify]: Simplify 1 into 1 15.434 * [taylor]: Taking taylor expansion of 0 in im 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 1 into 1 15.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.435 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.436 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.436 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.436 * [taylor]: Taking taylor expansion of 1/2 in im 15.436 * [backup-simplify]: Simplify 1/2 into 1/2 15.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.436 * [taylor]: Taking taylor expansion of im in im 15.436 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify 1 into 1 15.437 * [backup-simplify]: Simplify (* 1 1) into 1 15.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.439 * [backup-simplify]: Simplify 0 into 0 15.439 * [backup-simplify]: Simplify 0 into 0 15.439 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.441 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.442 * [backup-simplify]: Simplify (+ 0 0) into 0 15.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.442 * [taylor]: Taking taylor expansion of 0 in im 15.442 * [backup-simplify]: Simplify 0 into 0 15.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.444 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 15.445 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 15.445 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 15.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.445 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.445 * [taylor]: Taking taylor expansion of re in im 15.445 * [backup-simplify]: Simplify re into re 15.445 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.445 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.445 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.445 * [taylor]: Taking taylor expansion of im in im 15.446 * [backup-simplify]: Simplify 0 into 0 15.446 * [backup-simplify]: Simplify 1 into 1 15.446 * [backup-simplify]: Simplify (* 1 1) into 1 15.446 * [backup-simplify]: Simplify (/ 1 1) into 1 15.447 * [backup-simplify]: Simplify (+ 0 1) into 1 15.447 * [backup-simplify]: Simplify (sqrt 1) into 1 15.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.449 * [backup-simplify]: Simplify (+ 0 0) into 0 15.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.450 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.450 * [taylor]: Taking taylor expansion of re in re 15.450 * [backup-simplify]: Simplify 0 into 0 15.450 * [backup-simplify]: Simplify 1 into 1 15.450 * [backup-simplify]: Simplify (* 1 1) into 1 15.450 * [backup-simplify]: Simplify (/ 1 1) into 1 15.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.451 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.451 * [taylor]: Taking taylor expansion of im in re 15.451 * [backup-simplify]: Simplify im into im 15.451 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.451 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.451 * [backup-simplify]: Simplify (+ 1 0) into 1 15.452 * [backup-simplify]: Simplify (sqrt 1) into 1 15.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.453 * [backup-simplify]: Simplify (+ 0 0) into 0 15.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.454 * [taylor]: Taking taylor expansion of re in re 15.454 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify 1 into 1 15.455 * [backup-simplify]: Simplify (* 1 1) into 1 15.455 * [backup-simplify]: Simplify (/ 1 1) into 1 15.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.455 * [taylor]: Taking taylor expansion of im in re 15.455 * [backup-simplify]: Simplify im into im 15.455 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.455 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.456 * [backup-simplify]: Simplify (+ 1 0) into 1 15.456 * [backup-simplify]: Simplify (sqrt 1) into 1 15.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.458 * [backup-simplify]: Simplify (+ 0 0) into 0 15.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.459 * [taylor]: Taking taylor expansion of 1 in im 15.459 * [backup-simplify]: Simplify 1 into 1 15.459 * [taylor]: Taking taylor expansion of 0 in im 15.459 * [backup-simplify]: Simplify 0 into 0 15.459 * [backup-simplify]: Simplify 1 into 1 15.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.461 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.462 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.462 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.462 * [taylor]: Taking taylor expansion of 1/2 in im 15.462 * [backup-simplify]: Simplify 1/2 into 1/2 15.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.462 * [taylor]: Taking taylor expansion of im in im 15.462 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify 1 into 1 15.463 * [backup-simplify]: Simplify (* 1 1) into 1 15.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.465 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify 0 into 0 15.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.468 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 15.468 * [backup-simplify]: Simplify (+ 0 0) into 0 15.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.469 * [taylor]: Taking taylor expansion of 0 in im 15.469 * [backup-simplify]: Simplify 0 into 0 15.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.471 * [backup-simplify]: Simplify 0 into 0 15.471 * [backup-simplify]: Simplify 0 into 0 15.471 * [backup-simplify]: Simplify 0 into 0 15.471 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 15.471 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 15.473 * [backup-simplify]: Simplify (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) 15.473 * [approximate]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in (re im) around 0 15.473 * [taylor]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in im 15.473 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 15.473 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 15.473 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 15.476 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 15.476 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 15.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 15.476 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 15.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 15.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 15.476 * [taylor]: Taking taylor expansion of 1/3 in im 15.476 * [backup-simplify]: Simplify 1/3 into 1/3 15.476 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 15.477 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 15.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.477 * [taylor]: Taking taylor expansion of im in im 15.477 * [backup-simplify]: Simplify 0 into 0 15.477 * [backup-simplify]: Simplify 1 into 1 15.477 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.477 * [taylor]: Taking taylor expansion of re in im 15.477 * [backup-simplify]: Simplify re into re 15.477 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.477 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 15.477 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 15.477 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 15.477 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 15.477 * [taylor]: Taking taylor expansion of re in im 15.477 * [backup-simplify]: Simplify re into re 15.477 * [taylor]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in re 15.477 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 15.477 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 15.477 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 15.477 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 15.478 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 15.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 15.478 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 15.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 15.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 15.478 * [taylor]: Taking taylor expansion of 1/3 in re 15.478 * [backup-simplify]: Simplify 1/3 into 1/3 15.478 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 15.478 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.478 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.478 * [taylor]: Taking taylor expansion of im in re 15.478 * [backup-simplify]: Simplify im into im 15.478 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.478 * [taylor]: Taking taylor expansion of re in re 15.478 * [backup-simplify]: Simplify 0 into 0 15.478 * [backup-simplify]: Simplify 1 into 1 15.478 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.478 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.479 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.479 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.479 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.479 * [taylor]: Taking taylor expansion of re in re 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify 1 into 1 15.479 * [taylor]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in re 15.479 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 15.479 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 15.479 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 15.479 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 15.479 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 15.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 15.480 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 15.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 15.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 15.480 * [taylor]: Taking taylor expansion of 1/3 in re 15.480 * [backup-simplify]: Simplify 1/3 into 1/3 15.480 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 15.480 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 15.480 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.480 * [taylor]: Taking taylor expansion of im in re 15.480 * [backup-simplify]: Simplify im into im 15.480 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.480 * [taylor]: Taking taylor expansion of re in re 15.480 * [backup-simplify]: Simplify 0 into 0 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.480 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 15.480 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.480 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.481 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.481 * [taylor]: Taking taylor expansion of re in re 15.481 * [backup-simplify]: Simplify 0 into 0 15.481 * [backup-simplify]: Simplify 1 into 1 15.481 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 15.482 * [backup-simplify]: Simplify (- 0) into 0 15.482 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 0) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 15.482 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) in im 15.482 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 15.482 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 15.482 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 15.482 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 15.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 15.483 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 15.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 15.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 15.483 * [taylor]: Taking taylor expansion of 1/3 in im 15.483 * [backup-simplify]: Simplify 1/3 into 1/3 15.483 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 15.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.483 * [taylor]: Taking taylor expansion of im in im 15.483 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify 1 into 1 15.483 * [backup-simplify]: Simplify (* 1 1) into 1 15.484 * [backup-simplify]: Simplify (log 1) into 0 15.484 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.484 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 15.485 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 15.485 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow im 2/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 15.485 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 15.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.486 * [backup-simplify]: Simplify (+ 0 0) into 0 15.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 15.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 15.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.488 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 0) (* 0 (pow (pow im 2) 1/3))) into 0 15.489 * [backup-simplify]: Simplify (- 1) into -1 15.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.489 * [taylor]: Taking taylor expansion of -1 in im 15.489 * [backup-simplify]: Simplify -1 into -1 15.489 * [backup-simplify]: Simplify -1 into -1 15.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.492 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 15.494 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.494 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 0) (* 0 (pow im 2/3))) into 0 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.495 * [backup-simplify]: Simplify (* 1 1) into 1 15.495 * [backup-simplify]: Simplify (+ 0 1) into 1 15.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 15.497 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 15.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 15.500 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (* 1/3 (pow (/ 1 (pow im 4)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/3)))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 15.501 * [backup-simplify]: Simplify (- 0) into 0 15.501 * [backup-simplify]: Simplify (+ (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 0) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 15.501 * [taylor]: Taking taylor expansion of (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) in im 15.501 * [taylor]: Taking taylor expansion of 1/3 in im 15.501 * [backup-simplify]: Simplify 1/3 into 1/3 15.501 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)) in im 15.501 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 15.501 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 15.502 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 15.502 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 15.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 15.502 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 15.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 15.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 15.502 * [taylor]: Taking taylor expansion of 1/3 in im 15.502 * [backup-simplify]: Simplify 1/3 into 1/3 15.502 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 15.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 15.502 * [taylor]: Taking taylor expansion of (pow im 4) in im 15.502 * [taylor]: Taking taylor expansion of im in im 15.502 * [backup-simplify]: Simplify 0 into 0 15.502 * [backup-simplify]: Simplify 1 into 1 15.503 * [backup-simplify]: Simplify (* 1 1) into 1 15.503 * [backup-simplify]: Simplify (* 1 1) into 1 15.503 * [backup-simplify]: Simplify (/ 1 1) into 1 15.504 * [backup-simplify]: Simplify (log 1) into 0 15.504 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 15.504 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 15.504 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 15.504 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow im -4/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)) 15.505 * [backup-simplify]: Simplify (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 15.505 * [backup-simplify]: Simplify (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 15.505 * [backup-simplify]: Simplify (+ (* (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) (pow (* 1 re) 2)) (+ (* -1 (* 1 re)) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)))) into (- (+ (* 1/3 (* (pow re 2) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)))) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3))) re) 15.506 * [backup-simplify]: Simplify (- (* (sqrt (* (fabs (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) 15.506 * [approximate]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in (re im) around 0 15.506 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in im 15.506 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 15.506 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 15.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 15.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 15.506 * [taylor]: Taking taylor expansion of 1/3 in im 15.506 * [backup-simplify]: Simplify 1/3 into 1/3 15.506 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.506 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.506 * [taylor]: Taking taylor expansion of re in im 15.506 * [backup-simplify]: Simplify re into re 15.506 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.506 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.506 * [taylor]: Taking taylor expansion of im in im 15.506 * [backup-simplify]: Simplify 0 into 0 15.506 * [backup-simplify]: Simplify 1 into 1 15.507 * [backup-simplify]: Simplify (* 1 1) into 1 15.507 * [backup-simplify]: Simplify (/ 1 1) into 1 15.507 * [backup-simplify]: Simplify (+ 0 1) into 1 15.507 * [backup-simplify]: Simplify (log 1) into 0 15.508 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.508 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.508 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.508 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 15.508 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 15.508 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.508 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.508 * [taylor]: Taking taylor expansion of re in im 15.508 * [backup-simplify]: Simplify re into re 15.508 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.508 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 15.508 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 15.508 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.508 * [taylor]: Taking taylor expansion of 1/3 in re 15.508 * [backup-simplify]: Simplify 1/3 into 1/3 15.508 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.508 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.508 * [taylor]: Taking taylor expansion of re in re 15.508 * [backup-simplify]: Simplify 0 into 0 15.508 * [backup-simplify]: Simplify 1 into 1 15.509 * [backup-simplify]: Simplify (* 1 1) into 1 15.509 * [backup-simplify]: Simplify (/ 1 1) into 1 15.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.509 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.509 * [taylor]: Taking taylor expansion of im in re 15.509 * [backup-simplify]: Simplify im into im 15.509 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.509 * [backup-simplify]: Simplify (+ 1 0) into 1 15.513 * [backup-simplify]: Simplify (log 1) into 0 15.514 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.514 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.514 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.514 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 15.514 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 15.514 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.514 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.514 * [taylor]: Taking taylor expansion of re in re 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [backup-simplify]: Simplify (/ 1 1) into 1 15.515 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 15.515 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 15.515 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.515 * [taylor]: Taking taylor expansion of 1/3 in re 15.515 * [backup-simplify]: Simplify 1/3 into 1/3 15.515 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.515 * [taylor]: Taking taylor expansion of re in re 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [backup-simplify]: Simplify (* 1 1) into 1 15.516 * [backup-simplify]: Simplify (/ 1 1) into 1 15.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.516 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.516 * [taylor]: Taking taylor expansion of im in re 15.516 * [backup-simplify]: Simplify im into im 15.516 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.516 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.516 * [backup-simplify]: Simplify (+ 1 0) into 1 15.516 * [backup-simplify]: Simplify (log 1) into 0 15.517 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.517 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.517 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.517 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 15.517 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 15.517 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.517 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.517 * [taylor]: Taking taylor expansion of re in re 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [backup-simplify]: Simplify 1 into 1 15.518 * [backup-simplify]: Simplify (/ 1 1) into 1 15.518 * [backup-simplify]: Simplify (- 1) into -1 15.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.518 * [taylor]: Taking taylor expansion of -1 in im 15.518 * [backup-simplify]: Simplify -1 into -1 15.518 * [backup-simplify]: Simplify -1 into -1 15.518 * [backup-simplify]: Simplify (* (pow re -2/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.519 * [backup-simplify]: Simplify (- 0) into 0 15.519 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 0) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.519 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 15.519 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.519 * [taylor]: Taking taylor expansion of 1/3 in im 15.519 * [backup-simplify]: Simplify 1/3 into 1/3 15.519 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.519 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.520 * [taylor]: Taking taylor expansion of re in im 15.520 * [backup-simplify]: Simplify re into re 15.520 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.520 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.520 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.520 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.520 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.520 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 15.520 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 15.520 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.520 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.520 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.521 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.521 * [backup-simplify]: Simplify 0 into 0 15.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.522 * [backup-simplify]: Simplify (+ 0 0) into 0 15.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.523 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.524 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.524 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.525 * [backup-simplify]: Simplify (- 0) into 0 15.525 * [backup-simplify]: Simplify (+ 0 0) into 0 15.525 * [taylor]: Taking taylor expansion of 0 in im 15.525 * [backup-simplify]: Simplify 0 into 0 15.525 * [backup-simplify]: Simplify 0 into 0 15.525 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.527 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.527 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.527 * [backup-simplify]: Simplify 0 into 0 15.527 * [backup-simplify]: Simplify 0 into 0 15.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.529 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.530 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.530 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.531 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.532 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (+ (* 0 0) (* (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 15.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.532 * [backup-simplify]: Simplify (- 0) into 0 15.533 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 0) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 15.533 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) in im 15.533 * [taylor]: Taking taylor expansion of 1/3 in im 15.533 * [backup-simplify]: Simplify 1/3 into 1/3 15.533 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2)))) in im 15.533 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.533 * [taylor]: Taking taylor expansion of 1/3 in im 15.533 * [backup-simplify]: Simplify 1/3 into 1/3 15.533 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.533 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.533 * [taylor]: Taking taylor expansion of re in im 15.533 * [backup-simplify]: Simplify re into re 15.533 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.533 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.533 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.533 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.533 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.533 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))) in im 15.533 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 15.533 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 15.534 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.534 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.534 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.534 * [taylor]: Taking taylor expansion of im in im 15.534 * [backup-simplify]: Simplify 0 into 0 15.534 * [backup-simplify]: Simplify 1 into 1 15.534 * [backup-simplify]: Simplify (* 1 1) into 1 15.534 * [backup-simplify]: Simplify (/ 1 1) into 1 15.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.539 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (+ (* 0 0) (* 0 1))) into 0 15.539 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.542 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (* 0 1)) into 0 15.543 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.545 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.548 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.548 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 1) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.549 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 15.549 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.550 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))))) into 0 15.551 * [backup-simplify]: Simplify 0 into 0 15.551 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (/ 1 re) 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow (/ 1 re) 2)) (/ 1 (pow (/ 1 im) 2))) 1/3)))) (* -1 (* 1 (/ 1 (/ 1 re))))) into (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) 15.553 * [backup-simplify]: Simplify (- (* (sqrt (* (fabs (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) 15.553 * [approximate]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in (re im) around 0 15.553 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in im 15.553 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 15.553 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 15.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 15.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 15.553 * [taylor]: Taking taylor expansion of 1/3 in im 15.553 * [backup-simplify]: Simplify 1/3 into 1/3 15.553 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 15.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 15.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.553 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.554 * [taylor]: Taking taylor expansion of re in im 15.554 * [backup-simplify]: Simplify re into re 15.554 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.554 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.554 * [taylor]: Taking taylor expansion of im in im 15.554 * [backup-simplify]: Simplify 0 into 0 15.554 * [backup-simplify]: Simplify 1 into 1 15.555 * [backup-simplify]: Simplify (* 1 1) into 1 15.555 * [backup-simplify]: Simplify (/ 1 1) into 1 15.556 * [backup-simplify]: Simplify (+ 0 1) into 1 15.556 * [backup-simplify]: Simplify (log 1) into 0 15.557 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.557 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.557 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.557 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 15.557 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 15.557 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.558 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.558 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.558 * [taylor]: Taking taylor expansion of re in im 15.558 * [backup-simplify]: Simplify re into re 15.558 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.558 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 15.558 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 15.558 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.558 * [taylor]: Taking taylor expansion of 1/3 in re 15.558 * [backup-simplify]: Simplify 1/3 into 1/3 15.558 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.558 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.558 * [taylor]: Taking taylor expansion of re in re 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.559 * [backup-simplify]: Simplify (* 1 1) into 1 15.559 * [backup-simplify]: Simplify (/ 1 1) into 1 15.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.559 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.559 * [taylor]: Taking taylor expansion of im in re 15.559 * [backup-simplify]: Simplify im into im 15.559 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.560 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.560 * [backup-simplify]: Simplify (+ 1 0) into 1 15.560 * [backup-simplify]: Simplify (log 1) into 0 15.561 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.561 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.561 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.561 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 15.561 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 15.561 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.562 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.562 * [taylor]: Taking taylor expansion of re in re 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.563 * [backup-simplify]: Simplify (/ 1 1) into 1 15.563 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 15.563 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 15.563 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 15.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 15.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 15.563 * [taylor]: Taking taylor expansion of 1/3 in re 15.563 * [backup-simplify]: Simplify 1/3 into 1/3 15.563 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 15.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 15.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 15.563 * [taylor]: Taking taylor expansion of (pow re 2) in re 15.563 * [taylor]: Taking taylor expansion of re in re 15.563 * [backup-simplify]: Simplify 0 into 0 15.563 * [backup-simplify]: Simplify 1 into 1 15.564 * [backup-simplify]: Simplify (* 1 1) into 1 15.564 * [backup-simplify]: Simplify (/ 1 1) into 1 15.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 15.564 * [taylor]: Taking taylor expansion of (pow im 2) in re 15.565 * [taylor]: Taking taylor expansion of im in re 15.565 * [backup-simplify]: Simplify im into im 15.565 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.565 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 15.565 * [backup-simplify]: Simplify (+ 1 0) into 1 15.566 * [backup-simplify]: Simplify (log 1) into 0 15.566 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.566 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.567 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.567 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 15.567 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 15.567 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.567 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.568 * [taylor]: Taking taylor expansion of re in re 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify 1 into 1 15.568 * [backup-simplify]: Simplify (/ 1 1) into 1 15.569 * [backup-simplify]: Simplify (+ 0 1) into 1 15.569 * [taylor]: Taking taylor expansion of 1 in im 15.569 * [backup-simplify]: Simplify 1 into 1 15.569 * [backup-simplify]: Simplify 1 into 1 15.569 * [backup-simplify]: Simplify (* (pow re -2/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.570 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 0) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.570 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 15.570 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.571 * [taylor]: Taking taylor expansion of 1/3 in im 15.571 * [backup-simplify]: Simplify 1/3 into 1/3 15.571 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.571 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.571 * [taylor]: Taking taylor expansion of re in im 15.571 * [backup-simplify]: Simplify re into re 15.571 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.571 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.571 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.571 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.571 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.571 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 15.571 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 15.572 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.572 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.573 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.573 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.573 * [backup-simplify]: Simplify 0 into 0 15.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.575 * [backup-simplify]: Simplify (+ 0 0) into 0 15.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.577 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.578 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.579 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.579 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.580 * [backup-simplify]: Simplify (+ 0 0) into 0 15.580 * [taylor]: Taking taylor expansion of 0 in im 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.583 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.583 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.583 * [backup-simplify]: Simplify 0 into 0 15.584 * [backup-simplify]: Simplify 0 into 0 15.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.586 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.589 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.590 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.591 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.592 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (+ (* 0 0) (* (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 15.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.593 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 0) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 15.593 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) in im 15.593 * [taylor]: Taking taylor expansion of 1/3 in im 15.594 * [backup-simplify]: Simplify 1/3 into 1/3 15.594 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2)))) in im 15.594 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.594 * [taylor]: Taking taylor expansion of 1/3 in im 15.594 * [backup-simplify]: Simplify 1/3 into 1/3 15.594 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.594 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.594 * [taylor]: Taking taylor expansion of re in im 15.594 * [backup-simplify]: Simplify re into re 15.594 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.594 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.594 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.594 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.594 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.594 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))) in im 15.594 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 15.594 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 15.595 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 15.595 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.595 * [taylor]: Taking taylor expansion of im in im 15.595 * [backup-simplify]: Simplify 0 into 0 15.595 * [backup-simplify]: Simplify 1 into 1 15.596 * [backup-simplify]: Simplify (* 1 1) into 1 15.596 * [backup-simplify]: Simplify (/ 1 1) into 1 15.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.602 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (+ (* 0 0) (* 0 1))) into 0 15.602 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.604 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.605 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (* 0 1)) into 0 15.606 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.610 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.610 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 1) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 15.611 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 15.612 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 15.612 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 15.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))))) into 0 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow (/ 1 (- re)) 2)) (/ 1 (pow (/ 1 (- im)) 2))) 1/3)))) (* 1 (* 1 (/ 1 (/ 1 (- re)))))) into (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) 15.614 * * * [progress]: simplifying candidates 15.614 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 15.614 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 15.615 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 15.615 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 15.615 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 15.615 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 15.615 * * [simplify]: iters left: 6 (8 enodes) 15.617 * * [simplify]: iters left: 5 (25 enodes) 15.621 * * [simplify]: Extracting #0: cost 1 inf + 0 15.621 * * [simplify]: Extracting #1: cost 3 inf + 0 15.621 * * [simplify]: Extracting #2: cost 5 inf + 0 15.621 * * [simplify]: Extracting #3: cost 7 inf + 0 15.621 * * [simplify]: Extracting #4: cost 10 inf + 0 15.621 * * [simplify]: Extracting #5: cost 14 inf + 0 15.621 * * [simplify]: Extracting #6: cost 11 inf + 43 15.621 * * [simplify]: Extracting #7: cost 9 inf + 125 15.621 * * [simplify]: Extracting #8: cost 5 inf + 612 15.621 * * [simplify]: Extracting #9: cost 1 inf + 1620 15.622 * * [simplify]: Extracting #10: cost 0 inf + 1942 15.622 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 15.622 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 15.622 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 15.622 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 15.622 * * [simplify]: iters left: 6 (7 enodes) 15.624 * * [simplify]: iters left: 5 (22 enodes) 15.627 * * [simplify]: Extracting #0: cost 1 inf + 0 15.627 * * [simplify]: Extracting #1: cost 3 inf + 0 15.627 * * [simplify]: Extracting #2: cost 5 inf + 0 15.627 * * [simplify]: Extracting #3: cost 8 inf + 0 15.628 * * [simplify]: Extracting #4: cost 12 inf + 0 15.628 * * [simplify]: Extracting #5: cost 10 inf + 2 15.628 * * [simplify]: Extracting #6: cost 1 inf + 976 15.628 * * [simplify]: Extracting #7: cost 0 inf + 1218 15.628 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 15.628 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 15.628 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 15.629 * [simplify]: Simplifying (cbrt 1) 15.629 * * [simplify]: iters left: 1 (2 enodes) 15.631 * * [simplify]: Extracting #0: cost 1 inf + 0 15.631 * * [simplify]: Extracting #1: cost 0 inf + 1 15.631 * [simplify]: Simplified to 1 15.631 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* 1 (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 15.631 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 15.631 * [simplify]: Simplifying (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) 15.631 * * [simplify]: iters left: 6 (9 enodes) 15.635 * * [simplify]: iters left: 5 (45 enodes) 15.648 * * [simplify]: iters left: 4 (100 enodes) 15.685 * * [simplify]: iters left: 3 (201 enodes) 15.774 * * [simplify]: iters left: 2 (406 enodes) 15.917 * * [simplify]: Extracting #0: cost 1 inf + 0 15.917 * * [simplify]: Extracting #1: cost 3 inf + 0 15.917 * * [simplify]: Extracting #2: cost 6 inf + 0 15.917 * * [simplify]: Extracting #3: cost 62 inf + 0 15.918 * * [simplify]: Extracting #4: cost 166 inf + 460 15.921 * * [simplify]: Extracting #5: cost 131 inf + 12991 15.928 * * [simplify]: Extracting #6: cost 49 inf + 45826 15.939 * * [simplify]: Extracting #7: cost 1 inf + 66336 15.946 * * [simplify]: Extracting #8: cost 0 inf + 65999 15.952 * [simplify]: Simplified to (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 15.952 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (/ (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 15.952 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 15.952 * [simplify]: Simplifying (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.953 * * [simplify]: iters left: 6 (8 enodes) 15.955 * * [simplify]: iters left: 5 (37 enodes) 15.962 * * [simplify]: iters left: 4 (67 enodes) 15.976 * * [simplify]: iters left: 3 (123 enodes) 16.015 * * [simplify]: iters left: 2 (278 enodes) 16.139 * * [simplify]: Extracting #0: cost 1 inf + 0 16.139 * * [simplify]: Extracting #1: cost 3 inf + 0 16.139 * * [simplify]: Extracting #2: cost 50 inf + 0 16.142 * * [simplify]: Extracting #3: cost 150 inf + 0 16.143 * * [simplify]: Extracting #4: cost 194 inf + 1220 16.146 * * [simplify]: Extracting #5: cost 123 inf + 12501 16.157 * * [simplify]: Extracting #6: cost 12 inf + 33884 16.172 * * [simplify]: Extracting #7: cost 0 inf + 36209 16.188 * [simplify]: Simplified to (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.188 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (/ (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 16.188 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 16.188 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 16.188 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 16.189 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 16.189 * * * * [progress]: [ 14 / 69 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 16.189 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 16.189 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 16.189 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 16.189 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 16.189 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 16.189 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 16.190 * * [simplify]: iters left: 6 (8 enodes) 16.193 * * [simplify]: iters left: 5 (25 enodes) 16.200 * * [simplify]: Extracting #0: cost 1 inf + 0 16.200 * * [simplify]: Extracting #1: cost 3 inf + 0 16.200 * * [simplify]: Extracting #2: cost 5 inf + 0 16.201 * * [simplify]: Extracting #3: cost 7 inf + 0 16.201 * * [simplify]: Extracting #4: cost 10 inf + 0 16.201 * * [simplify]: Extracting #5: cost 14 inf + 0 16.201 * * [simplify]: Extracting #6: cost 11 inf + 43 16.201 * * [simplify]: Extracting #7: cost 9 inf + 125 16.201 * * [simplify]: Extracting #8: cost 5 inf + 612 16.202 * * [simplify]: Extracting #9: cost 1 inf + 1620 16.202 * * [simplify]: Extracting #10: cost 0 inf + 1942 16.203 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 16.203 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 16.203 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 16.203 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 16.203 * * [simplify]: iters left: 6 (7 enodes) 16.206 * * [simplify]: iters left: 5 (22 enodes) 16.212 * * [simplify]: Extracting #0: cost 1 inf + 0 16.212 * * [simplify]: Extracting #1: cost 3 inf + 0 16.212 * * [simplify]: Extracting #2: cost 5 inf + 0 16.212 * * [simplify]: Extracting #3: cost 8 inf + 0 16.212 * * [simplify]: Extracting #4: cost 12 inf + 0 16.213 * * [simplify]: Extracting #5: cost 10 inf + 2 16.213 * * [simplify]: Extracting #6: cost 1 inf + 976 16.213 * * [simplify]: Extracting #7: cost 0 inf + 1218 16.214 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 16.214 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 16.214 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 16.214 * [simplify]: Simplifying (cbrt 1) 16.214 * * [simplify]: iters left: 1 (2 enodes) 16.217 * * [simplify]: Extracting #0: cost 1 inf + 0 16.217 * * [simplify]: Extracting #1: cost 0 inf + 1 16.217 * [simplify]: Simplified to 1 16.218 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (* 1 (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 16.218 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 16.218 * [simplify]: Simplifying (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) 16.218 * * [simplify]: iters left: 6 (9 enodes) 16.224 * * [simplify]: iters left: 5 (45 enodes) 16.237 * * [simplify]: iters left: 4 (100 enodes) 16.263 * * [simplify]: iters left: 3 (201 enodes) 16.310 * * [simplify]: iters left: 2 (406 enodes) 16.462 * * [simplify]: Extracting #0: cost 1 inf + 0 16.462 * * [simplify]: Extracting #1: cost 3 inf + 0 16.462 * * [simplify]: Extracting #2: cost 6 inf + 0 16.462 * * [simplify]: Extracting #3: cost 62 inf + 0 16.463 * * [simplify]: Extracting #4: cost 166 inf + 460 16.466 * * [simplify]: Extracting #5: cost 131 inf + 12991 16.474 * * [simplify]: Extracting #6: cost 49 inf + 45826 16.485 * * [simplify]: Extracting #7: cost 1 inf + 66336 16.496 * * [simplify]: Extracting #8: cost 0 inf + 65999 16.508 * [simplify]: Simplified to (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 16.508 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (/ (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 16.508 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 16.509 * [simplify]: Simplifying (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.509 * * [simplify]: iters left: 6 (8 enodes) 16.513 * * [simplify]: iters left: 5 (37 enodes) 16.526 * * [simplify]: iters left: 4 (67 enodes) 16.549 * * [simplify]: iters left: 3 (123 enodes) 16.598 * * [simplify]: iters left: 2 (278 enodes) 16.739 * * [simplify]: Extracting #0: cost 1 inf + 0 16.739 * * [simplify]: Extracting #1: cost 3 inf + 0 16.739 * * [simplify]: Extracting #2: cost 50 inf + 0 16.740 * * [simplify]: Extracting #3: cost 150 inf + 0 16.741 * * [simplify]: Extracting #4: cost 194 inf + 1220 16.743 * * [simplify]: Extracting #5: cost 123 inf + 12501 16.749 * * [simplify]: Extracting #6: cost 12 inf + 33884 16.759 * * [simplify]: Extracting #7: cost 0 inf + 36209 16.771 * [simplify]: Simplified to (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.771 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (/ (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 16.772 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 28 / 69 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 16.772 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 33 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 16.772 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 16.772 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 16.772 * * [simplify]: iters left: 6 (8 enodes) 16.774 * * [simplify]: iters left: 5 (26 enodes) 16.778 * * [simplify]: Extracting #0: cost 1 inf + 0 16.778 * * [simplify]: Extracting #1: cost 4 inf + 0 16.778 * * [simplify]: Extracting #2: cost 7 inf + 0 16.778 * * [simplify]: Extracting #3: cost 10 inf + 0 16.778 * * [simplify]: Extracting #4: cost 14 inf + 0 16.778 * * [simplify]: Extracting #5: cost 10 inf + 84 16.778 * * [simplify]: Extracting #6: cost 8 inf + 166 16.779 * * [simplify]: Extracting #7: cost 4 inf + 854 16.779 * * [simplify]: Extracting #8: cost 1 inf + 1540 16.779 * * [simplify]: Extracting #9: cost 0 inf + 1782 16.779 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 16.779 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 16.780 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 16.780 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 16.780 * * [simplify]: iters left: 6 (7 enodes) 16.782 * * [simplify]: iters left: 5 (22 enodes) 16.785 * * [simplify]: Extracting #0: cost 1 inf + 0 16.785 * * [simplify]: Extracting #1: cost 3 inf + 0 16.785 * * [simplify]: Extracting #2: cost 5 inf + 0 16.785 * * [simplify]: Extracting #3: cost 8 inf + 0 16.785 * * [simplify]: Extracting #4: cost 12 inf + 0 16.785 * * [simplify]: Extracting #5: cost 10 inf + 2 16.785 * * [simplify]: Extracting #6: cost 1 inf + 936 16.786 * * [simplify]: Extracting #7: cost 0 inf + 1138 16.786 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 16.786 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 16.786 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 16.786 * [simplify]: Simplifying (sqrt 1) 16.786 * * [simplify]: iters left: 1 (2 enodes) 16.788 * * [simplify]: Extracting #0: cost 1 inf + 0 16.788 * * [simplify]: Extracting #1: cost 0 inf + 1 16.788 * [simplify]: Simplified to 1 16.788 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 16.789 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 16.789 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 16.789 * * [simplify]: iters left: 6 (9 enodes) 16.792 * * [simplify]: iters left: 5 (45 enodes) 16.814 * * [simplify]: iters left: 4 (100 enodes) 16.859 * * [simplify]: iters left: 3 (201 enodes) 16.928 * * [simplify]: iters left: 2 (406 enodes) 17.124 * * [simplify]: Extracting #0: cost 1 inf + 0 17.124 * * [simplify]: Extracting #1: cost 3 inf + 0 17.125 * * [simplify]: Extracting #2: cost 6 inf + 0 17.125 * * [simplify]: Extracting #3: cost 62 inf + 0 17.126 * * [simplify]: Extracting #4: cost 166 inf + 460 17.129 * * [simplify]: Extracting #5: cost 131 inf + 12951 17.136 * * [simplify]: Extracting #6: cost 49 inf + 45746 17.152 * * [simplify]: Extracting #7: cost 1 inf + 66256 17.162 * * [simplify]: Extracting #8: cost 0 inf + 65919 17.168 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 17.168 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (/ (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))))) 17.169 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 17.169 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.169 * * [simplify]: iters left: 6 (8 enodes) 17.171 * * [simplify]: iters left: 5 (37 enodes) 17.178 * * [simplify]: iters left: 4 (67 enodes) 17.200 * * [simplify]: iters left: 3 (123 enodes) 17.231 * * [simplify]: iters left: 2 (278 enodes) 17.412 * * [simplify]: Extracting #0: cost 1 inf + 0 17.412 * * [simplify]: Extracting #1: cost 3 inf + 0 17.412 * * [simplify]: Extracting #2: cost 50 inf + 0 17.413 * * [simplify]: Extracting #3: cost 150 inf + 0 17.414 * * [simplify]: Extracting #4: cost 194 inf + 1180 17.419 * * [simplify]: Extracting #5: cost 123 inf + 12421 17.425 * * [simplify]: Extracting #6: cost 12 inf + 33804 17.433 * * [simplify]: Extracting #7: cost 0 inf + 36129 17.441 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.441 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))) 17.441 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 17.441 * [simplify]: Simplifying (+ (* re re) (* im im)) 17.441 * * [simplify]: iters left: 4 (5 enodes) 17.443 * * [simplify]: iters left: 3 (16 enodes) 17.445 * * [simplify]: Extracting #0: cost 1 inf + 0 17.445 * * [simplify]: Extracting #1: cost 4 inf + 0 17.445 * * [simplify]: Extracting #2: cost 8 inf + 0 17.445 * * [simplify]: Extracting #3: cost 4 inf + 84 17.445 * * [simplify]: Extracting #4: cost 0 inf + 410 17.445 * [simplify]: Simplified to (+ (* re re) (* im im)) 17.445 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))) 17.445 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 17.446 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 17.446 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 17.446 * * [simplify]: iters left: 5 (6 enodes) 17.447 * * [simplify]: iters left: 4 (19 enodes) 17.450 * * [simplify]: Extracting #0: cost 1 inf + 0 17.450 * * [simplify]: Extracting #1: cost 3 inf + 0 17.450 * * [simplify]: Extracting #2: cost 6 inf + 0 17.450 * * [simplify]: Extracting #3: cost 10 inf + 0 17.450 * * [simplify]: Extracting #4: cost 6 inf + 84 17.450 * * [simplify]: Extracting #5: cost 0 inf + 734 17.450 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 17.450 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re))))) 17.450 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 17.450 * * * * [progress]: [ 44 / 69 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 17.451 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 17.451 * [simplify]: Simplifying (/ (exp (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) 17.451 * * [simplify]: iters left: 6 (16 enodes) 17.454 * * [simplify]: iters left: 5 (55 enodes) 17.465 * * [simplify]: iters left: 4 (67 enodes) 17.488 * * [simplify]: iters left: 3 (87 enodes) 17.503 * * [simplify]: iters left: 2 (127 enodes) 17.532 * * [simplify]: iters left: 1 (241 enodes) 17.607 * * [simplify]: Extracting #0: cost 1 inf + 0 17.607 * * [simplify]: Extracting #1: cost 43 inf + 0 17.608 * * [simplify]: Extracting #2: cost 136 inf + 0 17.609 * * [simplify]: Extracting #3: cost 168 inf + 370 17.610 * * [simplify]: Extracting #4: cost 174 inf + 524 17.611 * * [simplify]: Extracting #5: cost 179 inf + 564 17.612 * * [simplify]: Extracting #6: cost 182 inf + 605 17.616 * * [simplify]: Extracting #7: cost 152 inf + 9039 17.627 * * [simplify]: Extracting #8: cost 102 inf + 33159 17.646 * * [simplify]: Extracting #9: cost 32 inf + 99096 17.676 * * [simplify]: Extracting #10: cost 1 inf + 134690 17.715 * * [simplify]: Extracting #11: cost 0 inf + 135854 17.766 * [simplify]: Simplified to (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))))) re)) 17.766 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))))) re))))))) 17.766 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 17.766 * * * * [progress]: [ 57 / 69 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 17.766 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 17.767 * [simplify]: Simplifying (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 17.767 * * [simplify]: iters left: 6 (15 enodes) 17.773 * * [simplify]: iters left: 5 (67 enodes) 17.788 * * [simplify]: iters left: 4 (129 enodes) 17.824 * * [simplify]: iters left: 3 (249 enodes) 17.887 * * [simplify]: Extracting #0: cost 1 inf + 0 17.887 * * [simplify]: Extracting #1: cost 4 inf + 0 17.887 * * [simplify]: Extracting #2: cost 42 inf + 0 17.887 * * [simplify]: Extracting #3: cost 107 inf + 85 17.888 * * [simplify]: Extracting #4: cost 100 inf + 1548 17.889 * * [simplify]: Extracting #5: cost 96 inf + 2853 17.894 * * [simplify]: Extracting #6: cost 53 inf + 18400 17.905 * * [simplify]: Extracting #7: cost 1 inf + 45742 17.917 * * [simplify]: Extracting #8: cost 0 inf + 46618 17.924 * [simplify]: Simplified to (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))) 17.924 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 17.924 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 17.924 * [simplify]: Simplifying (pow (/ 1 re) -2/3) 17.924 * * [simplify]: iters left: 3 (5 enodes) 17.927 * * [simplify]: iters left: 2 (22 enodes) 17.932 * * [simplify]: iters left: 1 (38 enodes) 17.941 * * [simplify]: Extracting #0: cost 1 inf + 0 17.941 * * [simplify]: Extracting #1: cost 9 inf + 0 17.941 * * [simplify]: Extracting #2: cost 16 inf + 1 17.941 * * [simplify]: Extracting #3: cost 13 inf + 5 17.942 * * [simplify]: Extracting #4: cost 6 inf + 1102 17.942 * * [simplify]: Extracting #5: cost 0 inf + 3162 17.942 * [simplify]: Simplified to (pow (/ 1 re) -2/3) 17.942 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (pow (/ 1 re) -2/3)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 17.942 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 17.943 * [simplify]: Simplifying (pow (/ -1 re) -2/3) 17.943 * * [simplify]: iters left: 3 (5 enodes) 17.946 * * [simplify]: iters left: 2 (20 enodes) 17.959 * * [simplify]: iters left: 1 (34 enodes) 17.971 * * [simplify]: Extracting #0: cost 1 inf + 0 17.972 * * [simplify]: Extracting #1: cost 9 inf + 0 17.972 * * [simplify]: Extracting #2: cost 16 inf + 1 17.972 * * [simplify]: Extracting #3: cost 13 inf + 5 17.972 * * [simplify]: Extracting #4: cost 4 inf + 1648 17.972 * * [simplify]: Extracting #5: cost 0 inf + 3162 17.972 * [simplify]: Simplified to (pow (/ -1 re) -2/3) 17.972 * [simplify]: Simplified (2 2 1 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (pow (/ -1 re) -2/3)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 17.973 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 17.973 * [simplify]: Simplifying (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 17.973 * * [simplify]: iters left: 6 (15 enodes) 17.979 * * [simplify]: iters left: 5 (67 enodes) 17.994 * * [simplify]: iters left: 4 (129 enodes) 18.025 * * [simplify]: iters left: 3 (249 enodes) 18.101 * * [simplify]: Extracting #0: cost 1 inf + 0 18.102 * * [simplify]: Extracting #1: cost 4 inf + 0 18.102 * * [simplify]: Extracting #2: cost 42 inf + 0 18.102 * * [simplify]: Extracting #3: cost 107 inf + 85 18.103 * * [simplify]: Extracting #4: cost 100 inf + 1548 18.105 * * [simplify]: Extracting #5: cost 96 inf + 2853 18.109 * * [simplify]: Extracting #6: cost 53 inf + 18400 18.121 * * [simplify]: Extracting #7: cost 1 inf + 45742 18.135 * * [simplify]: Extracting #8: cost 0 inf + 46618 18.148 * [simplify]: Simplified to (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))) 18.148 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 18.148 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 18.149 * [simplify]: Simplifying (pow (/ 1 re) -2/3) 18.149 * * [simplify]: iters left: 3 (5 enodes) 18.153 * * [simplify]: iters left: 2 (22 enodes) 18.162 * * [simplify]: iters left: 1 (38 enodes) 18.179 * * [simplify]: Extracting #0: cost 1 inf + 0 18.179 * * [simplify]: Extracting #1: cost 9 inf + 0 18.179 * * [simplify]: Extracting #2: cost 16 inf + 1 18.179 * * [simplify]: Extracting #3: cost 13 inf + 5 18.179 * * [simplify]: Extracting #4: cost 6 inf + 1102 18.180 * * [simplify]: Extracting #5: cost 0 inf + 3162 18.180 * [simplify]: Simplified to (pow (/ 1 re) -2/3) 18.180 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (pow (/ 1 re) -2/3)) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 18.180 * * * * [progress]: [ 63 / 69 ] simplifiying candidate # 18.181 * [simplify]: Simplifying (pow (/ -1 re) -2/3) 18.181 * * [simplify]: iters left: 3 (5 enodes) 18.185 * * [simplify]: iters left: 2 (20 enodes) 18.194 * * [simplify]: iters left: 1 (34 enodes) 18.202 * * [simplify]: Extracting #0: cost 1 inf + 0 18.202 * * [simplify]: Extracting #1: cost 9 inf + 0 18.202 * * [simplify]: Extracting #2: cost 16 inf + 1 18.202 * * [simplify]: Extracting #3: cost 13 inf + 5 18.202 * * [simplify]: Extracting #4: cost 4 inf + 1648 18.203 * * [simplify]: Extracting #5: cost 0 inf + 3162 18.203 * [simplify]: Simplified to (pow (/ -1 re) -2/3) 18.203 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (pow (/ -1 re) -2/3)) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 18.203 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 18.203 * [simplify]: Simplifying im 18.203 * * [simplify]: iters left: 0 (1 enodes) 18.204 * * [simplify]: Extracting #0: cost 1 inf + 0 18.204 * * [simplify]: Extracting #1: cost 0 inf + 1 18.204 * [simplify]: Simplified to im 18.204 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt im)) re))))) 18.204 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 18.204 * [simplify]: Simplifying re 18.204 * * [simplify]: iters left: 0 (1 enodes) 18.204 * * [simplify]: Extracting #0: cost 1 inf + 0 18.204 * * [simplify]: Extracting #1: cost 0 inf + 1 18.204 * [simplify]: Simplified to re 18.204 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt re)) re))))) 18.205 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 18.205 * [simplify]: Simplifying (* -1 re) 18.205 * * [simplify]: iters left: 2 (3 enodes) 18.206 * * [simplify]: iters left: 1 (11 enodes) 18.208 * * [simplify]: Extracting #0: cost 1 inf + 0 18.208 * * [simplify]: Extracting #1: cost 4 inf + 0 18.208 * * [simplify]: Extracting #2: cost 0 inf + 84 18.208 * [simplify]: Simplified to (- re) 18.208 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (- re))) re))))) 18.208 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 18.208 * [simplify]: Simplifying (- (+ (* 1/3 (* (pow re 2) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)))) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3))) re) 18.208 * * [simplify]: iters left: 6 (22 enodes) 18.219 * * [simplify]: iters left: 5 (103 enodes) 18.256 * * [simplify]: iters left: 4 (191 enodes) 18.315 * * [simplify]: iters left: 3 (426 enodes) 18.488 * * [simplify]: Extracting #0: cost 1 inf + 0 18.488 * * [simplify]: Extracting #1: cost 10 inf + 0 18.489 * * [simplify]: Extracting #2: cost 88 inf + 1 18.490 * * [simplify]: Extracting #3: cost 220 inf + 84 18.491 * * [simplify]: Extracting #4: cost 223 inf + 295 18.493 * * [simplify]: Extracting #5: cost 217 inf + 2655 18.498 * * [simplify]: Extracting #6: cost 137 inf + 40146 18.517 * * [simplify]: Extracting #7: cost 20 inf + 111140 18.540 * * [simplify]: Extracting #8: cost 0 inf + 126466 18.573 * [simplify]: Simplified to (- (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (+ (cbrt (* im im)) (* (* (* re re) 1/3) (cbrt (/ 1 (* (* im im) (* im im))))))) re) 18.573 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (+ (cbrt (* im im)) (* (* (* re re) 1/3) (cbrt (/ 1 (* (* im im) (* im im))))))) re))))) 18.573 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 18.574 * [simplify]: Simplifying (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) 18.574 * * [simplify]: iters left: 6 (13 enodes) 18.582 * * [simplify]: iters left: 5 (59 enodes) 18.596 * * [simplify]: iters left: 4 (91 enodes) 18.619 * * [simplify]: iters left: 3 (162 enodes) 18.663 * * [simplify]: iters left: 2 (311 enodes) 18.784 * * [simplify]: Extracting #0: cost 1 inf + 0 18.785 * * [simplify]: Extracting #1: cost 5 inf + 0 18.785 * * [simplify]: Extracting #2: cost 27 inf + 1 18.785 * * [simplify]: Extracting #3: cost 83 inf + 83 18.786 * * [simplify]: Extracting #4: cost 74 inf + 1884 18.787 * * [simplify]: Extracting #5: cost 70 inf + 6164 18.790 * * [simplify]: Extracting #6: cost 79 inf + 12714 18.793 * * [simplify]: Extracting #7: cost 80 inf + 14605 18.796 * * [simplify]: Extracting #8: cost 74 inf + 15637 18.805 * * [simplify]: Extracting #9: cost 21 inf + 47484 18.819 * * [simplify]: Extracting #10: cost 0 inf + 61748 18.834 * * [simplify]: Extracting #11: cost 0 inf + 61486 18.852 * [simplify]: Simplified to (- (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) re) 18.852 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) re))))) 18.852 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 18.852 * [simplify]: Simplifying (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) 18.853 * * [simplify]: iters left: 6 (13 enodes) 18.861 * * [simplify]: iters left: 5 (59 enodes) 18.883 * * [simplify]: iters left: 4 (91 enodes) 18.917 * * [simplify]: iters left: 3 (162 enodes) 18.966 * * [simplify]: iters left: 2 (311 enodes) 19.080 * * [simplify]: Extracting #0: cost 1 inf + 0 19.081 * * [simplify]: Extracting #1: cost 5 inf + 0 19.081 * * [simplify]: Extracting #2: cost 27 inf + 1 19.081 * * [simplify]: Extracting #3: cost 83 inf + 83 19.082 * * [simplify]: Extracting #4: cost 74 inf + 1884 19.083 * * [simplify]: Extracting #5: cost 70 inf + 6164 19.086 * * [simplify]: Extracting #6: cost 79 inf + 12714 19.089 * * [simplify]: Extracting #7: cost 80 inf + 14605 19.092 * * [simplify]: Extracting #8: cost 74 inf + 15637 19.101 * * [simplify]: Extracting #9: cost 21 inf + 47484 19.115 * * [simplify]: Extracting #10: cost 0 inf + 61748 19.123 * * [simplify]: Extracting #11: cost 0 inf + 61486 19.131 * [simplify]: Simplified to (- (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) re) 19.131 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (cbrt (* re re)) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) re))))) 19.131 * * * [progress]: adding candidates to table 20.310 * [progress]: [Phase 3 of 3] Extracting. 20.311 * * [regime]: Finding splitpoints for: (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 20.326 * * * [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))))) 20.327 * * * * [regimes]: Trying to branch on im from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 20.519 * * * * [regimes]: Trying to branch on (* im im) from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 20.640 * * * * [regimes]: Trying to branch on (* im im) from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # #) 20.773 * * * * [regimes]: Trying to branch on re from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 20.970 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 21.089 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# #) 21.114 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 21.250 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# #) 21.282 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 21.438 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# #) 21.486 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # #real (real->posit16 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> # # # # #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #real (real->posit16 (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> # # # # # #) 21.649 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# #) 21.703 * * * [regime]: Found split indices: #