0.004 * [progress]: [Phase 1 of 3] Setting up.
0.005 * * * [progress]: [1/2] Preparing points
0.282 * * * [progress]: [2/2] Setting up program.
0.315 * [progress]: [Phase 2 of 3] Improving.
0.316 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.318 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.320 * * [simplify]: iteration 1: (12 enodes)
0.330 * * [simplify]: iteration 2: (43 enodes)
0.342 * * [simplify]: iteration 3: (54 enodes)
0.357 * * [simplify]: iteration 4: (70 enodes)
0.369 * * [simplify]: iteration 5: (81 enodes)
0.390 * * [simplify]: iteration 6: (85 enodes)
0.410 * * [simplify]: Extracting #0: cost 1 inf + 0
0.410 * * [simplify]: Extracting #1: cost 4 inf + 0
0.411 * * [simplify]: Extracting #2: cost 5 inf + 1
0.411 * * [simplify]: Extracting #3: cost 15 inf + 1
0.411 * * [simplify]: Extracting #4: cost 20 inf + 86
0.411 * * [simplify]: Extracting #5: cost 17 inf + 375
0.412 * * [simplify]: Extracting #6: cost 11 inf + 985
0.413 * * [simplify]: Extracting #7: cost 1 inf + 2129
0.414 * * [simplify]: Extracting #8: cost 0 inf + 2348
0.415 * [simplify]: Simplified to (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
0.447 * * [progress]: iteration 1 / 4
0.448 * * * [progress]: picking best candidate
0.462 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
0.463 * * * [progress]: localizing error
0.495 * * * [progress]: generating rewritten candidates
0.496 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1)
0.509 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
0.528 * * * [progress]: generating series expansions
0.528 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1)
0.533 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
0.533 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
0.534 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.534 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.536 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.537 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.537 * [taylor]: Taking taylor expansion of (* re re) in im
0.537 * [taylor]: Taking taylor expansion of re in im
0.537 * [backup-simplify]: Simplify re into re
0.537 * [taylor]: Taking taylor expansion of re in im
0.537 * [backup-simplify]: Simplify re into re
0.537 * [taylor]: Taking taylor expansion of (* im im) in im
0.537 * [taylor]: Taking taylor expansion of im in im
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [taylor]: Taking taylor expansion of im in im
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.541 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.542 * [backup-simplify]: Simplify (* 0 0) into 0
0.543 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.543 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.543 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.544 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.544 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.544 * [taylor]: Taking taylor expansion of re in im
0.544 * [backup-simplify]: Simplify re into re
0.544 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.544 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.545 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.545 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.545 * [taylor]: Taking taylor expansion of (* re re) in re
0.545 * [taylor]: Taking taylor expansion of re in re
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [taylor]: Taking taylor expansion of re in re
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [taylor]: Taking taylor expansion of (* im im) in re
0.545 * [taylor]: Taking taylor expansion of im in re
0.545 * [backup-simplify]: Simplify im into im
0.545 * [taylor]: Taking taylor expansion of im in re
0.545 * [backup-simplify]: Simplify im into im
0.545 * [backup-simplify]: Simplify (* 0 0) into 0
0.546 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.546 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.546 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.547 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.547 * [backup-simplify]: Simplify (+ 0 0) into 0
0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.547 * [taylor]: Taking taylor expansion of re in re
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.547 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.548 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.548 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.548 * [taylor]: Taking taylor expansion of (* re re) in re
0.548 * [taylor]: Taking taylor expansion of re in re
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [taylor]: Taking taylor expansion of re in re
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [taylor]: Taking taylor expansion of (* im im) in re
0.548 * [taylor]: Taking taylor expansion of im in re
0.548 * [backup-simplify]: Simplify im into im
0.548 * [taylor]: Taking taylor expansion of im in re
0.548 * [backup-simplify]: Simplify im into im
0.548 * [backup-simplify]: Simplify (* 0 0) into 0
0.548 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.549 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.549 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.549 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.549 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.550 * [taylor]: Taking taylor expansion of re in re
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 1 into 1
0.551 * [backup-simplify]: Simplify (- 0) into 0
0.551 * [backup-simplify]: Simplify (+ im 0) into im
0.551 * [taylor]: Taking taylor expansion of im in im
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (- 1) into -1
0.553 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.553 * [taylor]: Taking taylor expansion of -1 in im
0.553 * [backup-simplify]: Simplify -1 into -1
0.553 * [backup-simplify]: Simplify -1 into -1
0.553 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.555 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.556 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.557 * [backup-simplify]: Simplify (- 0) into 0
0.557 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.557 * [taylor]: Taking taylor expansion of 1/2 in im
0.557 * [backup-simplify]: Simplify 1/2 into 1/2
0.557 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.557 * [taylor]: Taking taylor expansion of im in im
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (/ 1 1) into 1
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.564 * [backup-simplify]: Simplify (- 0) into 0
0.565 * [backup-simplify]: Simplify (+ 0 0) into 0
0.565 * [taylor]: Taking taylor expansion of 0 in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.568 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.568 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.568 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.568 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.568 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.568 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.568 * [taylor]: Taking taylor expansion of re in im
0.568 * [backup-simplify]: Simplify re into re
0.568 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.568 * [taylor]: Taking taylor expansion of re in im
0.568 * [backup-simplify]: Simplify re into re
0.568 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.568 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.568 * [taylor]: Taking taylor expansion of im in im
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.569 * [taylor]: Taking taylor expansion of im in im
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [backup-simplify]: Simplify (* 1 1) into 1
0.570 * [backup-simplify]: Simplify (+ 0 1) into 1
0.571 * [backup-simplify]: Simplify (sqrt 1) into 1
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.576 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.576 * [taylor]: Taking taylor expansion of re in im
0.576 * [backup-simplify]: Simplify re into re
0.576 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.576 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.576 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.576 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.576 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.576 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.576 * [taylor]: Taking taylor expansion of re in re
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.577 * [backup-simplify]: Simplify (/ 1 1) into 1
0.577 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.577 * [taylor]: Taking taylor expansion of re in re
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.577 * [backup-simplify]: Simplify (/ 1 1) into 1
0.577 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.577 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.577 * [taylor]: Taking taylor expansion of im in re
0.577 * [backup-simplify]: Simplify im into im
0.577 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.577 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.577 * [taylor]: Taking taylor expansion of im in re
0.577 * [backup-simplify]: Simplify im into im
0.577 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.578 * [backup-simplify]: Simplify (* 1 1) into 1
0.578 * [backup-simplify]: Simplify (+ 1 0) into 1
0.579 * [backup-simplify]: Simplify (sqrt 1) into 1
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.582 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.582 * [taylor]: Taking taylor expansion of re in re
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify (/ 1 1) into 1
0.583 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.583 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.583 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.583 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.583 * [taylor]: Taking taylor expansion of re in re
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 1 into 1
0.594 * [backup-simplify]: Simplify (/ 1 1) into 1
0.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.595 * [taylor]: Taking taylor expansion of re in re
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 1 into 1
0.595 * [backup-simplify]: Simplify (/ 1 1) into 1
0.596 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.596 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.596 * [taylor]: Taking taylor expansion of im in re
0.596 * [backup-simplify]: Simplify im into im
0.596 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.596 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.596 * [taylor]: Taking taylor expansion of im in re
0.596 * [backup-simplify]: Simplify im into im
0.596 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.596 * [backup-simplify]: Simplify (* 1 1) into 1
0.597 * [backup-simplify]: Simplify (+ 1 0) into 1
0.598 * [backup-simplify]: Simplify (sqrt 1) into 1
0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.601 * [backup-simplify]: Simplify (+ 0 0) into 0
0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.601 * [taylor]: Taking taylor expansion of re in re
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 1 into 1
0.602 * [backup-simplify]: Simplify (/ 1 1) into 1
0.602 * [backup-simplify]: Simplify (- 1) into -1
0.603 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.603 * [taylor]: Taking taylor expansion of 0 in im
0.603 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (- 0) into 0
0.604 * [backup-simplify]: Simplify (+ 0 0) into 0
0.604 * [taylor]: Taking taylor expansion of 0 in im
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.608 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.608 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.609 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (- 0) into 0
0.611 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.611 * [taylor]: Taking taylor expansion of 1/2 in im
0.611 * [backup-simplify]: Simplify 1/2 into 1/2
0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.611 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.611 * [taylor]: Taking taylor expansion of im in im
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 1 into 1
0.612 * [backup-simplify]: Simplify (* 1 1) into 1
0.612 * [backup-simplify]: Simplify (/ 1 1) into 1
0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.618 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.618 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.620 * [backup-simplify]: Simplify (- 0) into 0
0.620 * [backup-simplify]: Simplify (+ 0 0) into 0
0.620 * [taylor]: Taking taylor expansion of 0 in im
0.620 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.623 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.623 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.624 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.624 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.624 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.624 * [taylor]: Taking taylor expansion of -1 in im
0.624 * [backup-simplify]: Simplify -1 into -1
0.624 * [taylor]: Taking taylor expansion of re in im
0.624 * [backup-simplify]: Simplify re into re
0.624 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.624 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.624 * [taylor]: Taking taylor expansion of -1 in im
0.624 * [backup-simplify]: Simplify -1 into -1
0.624 * [taylor]: Taking taylor expansion of re in im
0.624 * [backup-simplify]: Simplify re into re
0.624 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.624 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.624 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.624 * [taylor]: Taking taylor expansion of -1 in im
0.624 * [backup-simplify]: Simplify -1 into -1
0.624 * [taylor]: Taking taylor expansion of im in im
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (/ -1 1) into -1
0.625 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.625 * [taylor]: Taking taylor expansion of -1 in im
0.625 * [backup-simplify]: Simplify -1 into -1
0.625 * [taylor]: Taking taylor expansion of im in im
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (/ -1 1) into -1
0.626 * [backup-simplify]: Simplify (* -1 -1) into 1
0.626 * [backup-simplify]: Simplify (+ 0 1) into 1
0.626 * [backup-simplify]: Simplify (sqrt 1) into 1
0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.629 * [backup-simplify]: Simplify (+ 0 0) into 0
0.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.629 * [taylor]: Taking taylor expansion of re in im
0.629 * [backup-simplify]: Simplify re into re
0.630 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.630 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.630 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.630 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.630 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.630 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.630 * [taylor]: Taking taylor expansion of -1 in re
0.630 * [backup-simplify]: Simplify -1 into -1
0.630 * [taylor]: Taking taylor expansion of re in re
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 1 into 1
0.630 * [backup-simplify]: Simplify (/ -1 1) into -1
0.630 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.630 * [taylor]: Taking taylor expansion of -1 in re
0.630 * [backup-simplify]: Simplify -1 into -1
0.630 * [taylor]: Taking taylor expansion of re in re
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 1 into 1
0.631 * [backup-simplify]: Simplify (/ -1 1) into -1
0.631 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.631 * [taylor]: Taking taylor expansion of -1 in re
0.631 * [backup-simplify]: Simplify -1 into -1
0.631 * [taylor]: Taking taylor expansion of im in re
0.631 * [backup-simplify]: Simplify im into im
0.631 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.631 * [taylor]: Taking taylor expansion of -1 in re
0.631 * [backup-simplify]: Simplify -1 into -1
0.631 * [taylor]: Taking taylor expansion of im in re
0.631 * [backup-simplify]: Simplify im into im
0.631 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.631 * [backup-simplify]: Simplify (* -1 -1) into 1
0.632 * [backup-simplify]: Simplify (+ 1 0) into 1
0.632 * [backup-simplify]: Simplify (sqrt 1) into 1
0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.634 * [backup-simplify]: Simplify (+ 0 0) into 0
0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.635 * [taylor]: Taking taylor expansion of re in re
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify 1 into 1
0.636 * [backup-simplify]: Simplify (/ 1 1) into 1
0.636 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.636 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.636 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.636 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.636 * [taylor]: Taking taylor expansion of -1 in re
0.636 * [backup-simplify]: Simplify -1 into -1
0.636 * [taylor]: Taking taylor expansion of re in re
0.636 * [backup-simplify]: Simplify 0 into 0
0.636 * [backup-simplify]: Simplify 1 into 1
0.636 * [backup-simplify]: Simplify (/ -1 1) into -1
0.636 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.636 * [taylor]: Taking taylor expansion of -1 in re
0.636 * [backup-simplify]: Simplify -1 into -1
0.636 * [taylor]: Taking taylor expansion of re in re
0.636 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 1 into 1
0.637 * [backup-simplify]: Simplify (/ -1 1) into -1
0.637 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.637 * [taylor]: Taking taylor expansion of -1 in re
0.637 * [backup-simplify]: Simplify -1 into -1
0.637 * [taylor]: Taking taylor expansion of im in re
0.637 * [backup-simplify]: Simplify im into im
0.637 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.637 * [taylor]: Taking taylor expansion of -1 in re
0.637 * [backup-simplify]: Simplify -1 into -1
0.637 * [taylor]: Taking taylor expansion of im in re
0.637 * [backup-simplify]: Simplify im into im
0.638 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.638 * [backup-simplify]: Simplify (* -1 -1) into 1
0.638 * [backup-simplify]: Simplify (+ 1 0) into 1
0.639 * [backup-simplify]: Simplify (sqrt 1) into 1
0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.641 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.641 * [backup-simplify]: Simplify (+ 0 0) into 0
0.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.642 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.642 * [taylor]: Taking taylor expansion of re in re
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (/ 1 1) into 1
0.643 * [backup-simplify]: Simplify (+ 1 1) into 2
0.643 * [taylor]: Taking taylor expansion of 2 in im
0.643 * [backup-simplify]: Simplify 2 into 2
0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.644 * [backup-simplify]: Simplify (+ 0 0) into 0
0.644 * [taylor]: Taking taylor expansion of 0 in im
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 2 into 2
0.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.648 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.648 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.650 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.651 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.651 * [taylor]: Taking taylor expansion of 1/2 in im
0.651 * [backup-simplify]: Simplify 1/2 into 1/2
0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.651 * [taylor]: Taking taylor expansion of im in im
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (* 1 1) into 1
0.652 * [backup-simplify]: Simplify (/ 1 1) into 1
0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.657 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.658 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.658 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.658 * [backup-simplify]: Simplify (+ 0 0) into 0
0.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.660 * [backup-simplify]: Simplify (+ 0 0) into 0
0.660 * [taylor]: Taking taylor expansion of 0 in im
0.660 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.663 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
0.664 * [backup-simplify]: Simplify (sqrt (* (- (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot re im) re)))
0.664 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0
0.664 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im
0.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.664 * [taylor]: Taking taylor expansion of 2.0 in im
0.664 * [backup-simplify]: Simplify 2.0 into 2.0
0.664 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.665 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im
0.665 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.665 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.665 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.665 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.665 * [taylor]: Taking taylor expansion of (* re re) in im
0.665 * [taylor]: Taking taylor expansion of re in im
0.665 * [backup-simplify]: Simplify re into re
0.665 * [taylor]: Taking taylor expansion of re in im
0.665 * [backup-simplify]: Simplify re into re
0.665 * [taylor]: Taking taylor expansion of (* im im) in im
0.665 * [taylor]: Taking taylor expansion of im in im
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify 1 into 1
0.665 * [taylor]: Taking taylor expansion of im in im
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify 1 into 1
0.666 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.666 * [backup-simplify]: Simplify (* 0 0) into 0
0.666 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.666 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.666 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.667 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.667 * [backup-simplify]: Simplify (+ 0 0) into 0
0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.667 * [taylor]: Taking taylor expansion of re in im
0.667 * [backup-simplify]: Simplify re into re
0.667 * [backup-simplify]: Simplify (- re) into (- re)
0.667 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.668 * [backup-simplify]: Simplify (- 0) into 0
0.668 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.670 * [backup-simplify]: Simplify (+ 0 1) into 1
0.671 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.671 * [backup-simplify]: Simplify (- 0) into 0
0.671 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.671 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.672 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.674 * [backup-simplify]: Simplify (+ 0 0) into 0
0.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.674 * [backup-simplify]: Simplify (- 0) into 0
0.674 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.675 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.675 * [taylor]: Taking taylor expansion of 2.0 in re
0.675 * [backup-simplify]: Simplify 2.0 into 2.0
0.675 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.676 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
0.676 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.676 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.676 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.676 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.676 * [taylor]: Taking taylor expansion of (* re re) in re
0.676 * [taylor]: Taking taylor expansion of re in re
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify 1 into 1
0.676 * [taylor]: Taking taylor expansion of re in re
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify 1 into 1
0.676 * [taylor]: Taking taylor expansion of (* im im) in re
0.676 * [taylor]: Taking taylor expansion of im in re
0.676 * [backup-simplify]: Simplify im into im
0.676 * [taylor]: Taking taylor expansion of im in re
0.676 * [backup-simplify]: Simplify im into im
0.677 * [backup-simplify]: Simplify (* 0 0) into 0
0.677 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.677 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.677 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.678 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.678 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.678 * [backup-simplify]: Simplify (+ 0 0) into 0
0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.678 * [taylor]: Taking taylor expansion of re in re
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 1 into 1
0.679 * [backup-simplify]: Simplify (- 0) into 0
0.679 * [backup-simplify]: Simplify (+ im 0) into im
0.679 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.679 * [backup-simplify]: Simplify (- 1) into -1
0.680 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.680 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.680 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
0.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.680 * [taylor]: Taking taylor expansion of 2.0 in re
0.680 * [backup-simplify]: Simplify 2.0 into 2.0
0.680 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.681 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
0.681 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.681 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.681 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.681 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.681 * [taylor]: Taking taylor expansion of (* re re) in re
0.681 * [taylor]: Taking taylor expansion of re in re
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify 1 into 1
0.681 * [taylor]: Taking taylor expansion of re in re
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify 1 into 1
0.681 * [taylor]: Taking taylor expansion of (* im im) in re
0.681 * [taylor]: Taking taylor expansion of im in re
0.681 * [backup-simplify]: Simplify im into im
0.681 * [taylor]: Taking taylor expansion of im in re
0.681 * [backup-simplify]: Simplify im into im
0.682 * [backup-simplify]: Simplify (* 0 0) into 0
0.682 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.682 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.682 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.682 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.683 * [backup-simplify]: Simplify (+ 0 0) into 0
0.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.683 * [taylor]: Taking taylor expansion of re in re
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (- 0) into 0
0.683 * [backup-simplify]: Simplify (+ im 0) into im
0.683 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.684 * [backup-simplify]: Simplify (- 1) into -1
0.684 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.684 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.684 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.684 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.684 * [taylor]: Taking taylor expansion of 2.0 in im
0.684 * [backup-simplify]: Simplify 2.0 into 2.0
0.685 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.685 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.685 * [taylor]: Taking taylor expansion of im in im
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify (sqrt 0) into 0
0.686 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.687 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.688 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.689 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.689 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.689 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.689 * [taylor]: Taking taylor expansion of 1/2 in im
0.689 * [backup-simplify]: Simplify 1/2 into 1/2
0.689 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.689 * [taylor]: Taking taylor expansion of 2.0 in im
0.689 * [backup-simplify]: Simplify 2.0 into 2.0
0.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.690 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.690 * [taylor]: Taking taylor expansion of im in im
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (/ 1 1) into 1
0.690 * [backup-simplify]: Simplify (sqrt 0) into 0
0.691 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.693 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.698 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.700 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.700 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.705 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.708 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.710 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.713 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.714 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.717 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.718 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.723 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
0.723 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))
0.723 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in (re im) around 0
0.723 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
0.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.723 * [taylor]: Taking taylor expansion of 2.0 in im
0.723 * [backup-simplify]: Simplify 2.0 into 2.0
0.724 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.725 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.725 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.725 * [taylor]: Taking taylor expansion of re in im
0.725 * [backup-simplify]: Simplify re into re
0.725 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.725 * [taylor]: Taking taylor expansion of re in im
0.725 * [backup-simplify]: Simplify re into re
0.725 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.725 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.725 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.725 * [taylor]: Taking taylor expansion of im in im
0.725 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 1 into 1
0.726 * [backup-simplify]: Simplify (/ 1 1) into 1
0.726 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.726 * [taylor]: Taking taylor expansion of im in im
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 1 into 1
0.726 * [backup-simplify]: Simplify (/ 1 1) into 1
0.727 * [backup-simplify]: Simplify (* 1 1) into 1
0.727 * [backup-simplify]: Simplify (+ 0 1) into 1
0.728 * [backup-simplify]: Simplify (sqrt 1) into 1
0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.730 * [backup-simplify]: Simplify (+ 0 0) into 0
0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.731 * [taylor]: Taking taylor expansion of re in im
0.731 * [backup-simplify]: Simplify re into re
0.731 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.732 * [backup-simplify]: Simplify (+ 1 0) into 1
0.732 * [backup-simplify]: Simplify (sqrt 0) into 0
0.737 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.737 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
0.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.737 * [taylor]: Taking taylor expansion of 2.0 in re
0.737 * [backup-simplify]: Simplify 2.0 into 2.0
0.737 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.738 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.738 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.738 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.738 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.738 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.738 * [taylor]: Taking taylor expansion of re in re
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (/ 1 1) into 1
0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.739 * [taylor]: Taking taylor expansion of re in re
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (/ 1 1) into 1
0.739 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.739 * [taylor]: Taking taylor expansion of im in re
0.740 * [backup-simplify]: Simplify im into im
0.740 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.740 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.740 * [taylor]: Taking taylor expansion of im in re
0.740 * [backup-simplify]: Simplify im into im
0.740 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.740 * [backup-simplify]: Simplify (* 1 1) into 1
0.741 * [backup-simplify]: Simplify (+ 1 0) into 1
0.741 * [backup-simplify]: Simplify (sqrt 1) into 1
0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.744 * [backup-simplify]: Simplify (+ 0 0) into 0
0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.744 * [taylor]: Taking taylor expansion of re in re
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify 1 into 1
0.745 * [backup-simplify]: Simplify (/ 1 1) into 1
0.745 * [backup-simplify]: Simplify (- 1) into -1
0.746 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (- 0) into 0
0.747 * [backup-simplify]: Simplify (+ 0 0) into 0
0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.750 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (- 0) into 0
0.753 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.753 * [backup-simplify]: Simplify (sqrt 0) into 0
0.754 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.754 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
0.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.754 * [taylor]: Taking taylor expansion of 2.0 in re
0.754 * [backup-simplify]: Simplify 2.0 into 2.0
0.755 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.755 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.755 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.755 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.755 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.756 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.756 * [taylor]: Taking taylor expansion of re in re
0.756 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (/ 1 1) into 1
0.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.756 * [taylor]: Taking taylor expansion of re in re
0.756 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (/ 1 1) into 1
0.757 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.757 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.757 * [taylor]: Taking taylor expansion of im in re
0.757 * [backup-simplify]: Simplify im into im
0.757 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.757 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.757 * [taylor]: Taking taylor expansion of im in re
0.757 * [backup-simplify]: Simplify im into im
0.757 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.757 * [backup-simplify]: Simplify (* 1 1) into 1
0.758 * [backup-simplify]: Simplify (+ 1 0) into 1
0.758 * [backup-simplify]: Simplify (sqrt 1) into 1
0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.761 * [backup-simplify]: Simplify (+ 0 0) into 0
0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.761 * [taylor]: Taking taylor expansion of re in re
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.762 * [backup-simplify]: Simplify (/ 1 1) into 1
0.762 * [backup-simplify]: Simplify (- 1) into -1
0.763 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.764 * [backup-simplify]: Simplify (- 0) into 0
0.764 * [backup-simplify]: Simplify (+ 0 0) into 0
0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.766 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.766 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.767 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.768 * [backup-simplify]: Simplify (- 0) into 0
0.768 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.768 * [backup-simplify]: Simplify (sqrt 0) into 0
0.769 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.769 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.769 * [taylor]: Taking taylor expansion of 0 in im
0.769 * [backup-simplify]: Simplify 0 into 0
0.770 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.770 * [taylor]: Taking taylor expansion of +nan.0 in im
0.770 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.770 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.770 * [taylor]: Taking taylor expansion of 2.0 in im
0.770 * [backup-simplify]: Simplify 2.0 into 2.0
0.770 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.771 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.771 * [taylor]: Taking taylor expansion of im in im
0.771 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify 1 into 1
0.771 * [backup-simplify]: Simplify (* 1 1) into 1
0.771 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.773 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.773 * [backup-simplify]: Simplify (- 0) into 0
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.775 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.775 * [backup-simplify]: Simplify (+ 0 0) into 0
0.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.777 * [backup-simplify]: Simplify (- 0) into 0
0.777 * [backup-simplify]: Simplify (+ 0 0) into 0
0.778 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.779 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.780 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.780 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.780 * [taylor]: Taking taylor expansion of +nan.0 in im
0.780 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.780 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.780 * [taylor]: Taking taylor expansion of 2.0 in im
0.780 * [backup-simplify]: Simplify 2.0 into 2.0
0.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.780 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.780 * [taylor]: Taking taylor expansion of im in im
0.780 * [backup-simplify]: Simplify 0 into 0
0.781 * [backup-simplify]: Simplify 1 into 1
0.781 * [backup-simplify]: Simplify (* 1 1) into 1
0.781 * [backup-simplify]: Simplify (* 1 1) into 1
0.782 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.789 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.790 * [backup-simplify]: Simplify (- 0) into 0
0.790 * [backup-simplify]: Simplify 0 into 0
0.790 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.792 * [backup-simplify]: Simplify (- 0) into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.797 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
0.797 * [backup-simplify]: Simplify (+ 0 0) into 0
0.798 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.800 * [backup-simplify]: Simplify (- 0) into 0
0.800 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.801 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.804 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.804 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.804 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.804 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.804 * [taylor]: Taking taylor expansion of +nan.0 in im
0.804 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.804 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.804 * [taylor]: Taking taylor expansion of 2.0 in im
0.804 * [backup-simplify]: Simplify 2.0 into 2.0
0.805 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.806 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.806 * [taylor]: Taking taylor expansion of im in im
0.806 * [backup-simplify]: Simplify 0 into 0
0.806 * [backup-simplify]: Simplify 1 into 1
0.806 * [backup-simplify]: Simplify (* 1 1) into 1
0.807 * [backup-simplify]: Simplify (* 1 1) into 1
0.808 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.808 * [taylor]: Taking taylor expansion of +nan.0 in im
0.808 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.808 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.808 * [taylor]: Taking taylor expansion of 2.0 in im
0.808 * [backup-simplify]: Simplify 2.0 into 2.0
0.808 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.809 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.809 * [taylor]: Taking taylor expansion of im in im
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (* 1 1) into 1
0.810 * [backup-simplify]: Simplify (* 1 1) into 1
0.810 * [backup-simplify]: Simplify (* 1 1) into 1
0.811 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.827 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.855 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.856 * [backup-simplify]: Simplify (- 0) into 0
0.856 * [backup-simplify]: Simplify (+ 0 0) into 0
0.857 * [backup-simplify]: Simplify (- 0) into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.857 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.857 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.857 * [taylor]: Taking taylor expansion of 2.0 in im
0.857 * [backup-simplify]: Simplify 2.0 into 2.0
0.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.858 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.858 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.858 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.859 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.859 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.859 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.859 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.859 * [taylor]: Taking taylor expansion of -1 in im
0.859 * [backup-simplify]: Simplify -1 into -1
0.859 * [taylor]: Taking taylor expansion of re in im
0.859 * [backup-simplify]: Simplify re into re
0.859 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.859 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.859 * [taylor]: Taking taylor expansion of -1 in im
0.859 * [backup-simplify]: Simplify -1 into -1
0.859 * [taylor]: Taking taylor expansion of re in im
0.859 * [backup-simplify]: Simplify re into re
0.859 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.859 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.859 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.859 * [taylor]: Taking taylor expansion of -1 in im
0.859 * [backup-simplify]: Simplify -1 into -1
0.859 * [taylor]: Taking taylor expansion of im in im
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (/ -1 1) into -1
0.860 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.860 * [taylor]: Taking taylor expansion of -1 in im
0.860 * [backup-simplify]: Simplify -1 into -1
0.860 * [taylor]: Taking taylor expansion of im in im
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (/ -1 1) into -1
0.861 * [backup-simplify]: Simplify (* -1 -1) into 1
0.861 * [backup-simplify]: Simplify (+ 0 1) into 1
0.861 * [backup-simplify]: Simplify (sqrt 1) into 1
0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.863 * [backup-simplify]: Simplify (+ 0 0) into 0
0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.865 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.865 * [taylor]: Taking taylor expansion of re in im
0.865 * [backup-simplify]: Simplify re into re
0.865 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.866 * [backup-simplify]: Simplify (+ 1 0) into 1
0.866 * [backup-simplify]: Simplify (sqrt 0) into 0
0.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.867 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.867 * [taylor]: Taking taylor expansion of 2.0 in re
0.867 * [backup-simplify]: Simplify 2.0 into 2.0
0.867 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.868 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.868 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.868 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.868 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.868 * [taylor]: Taking taylor expansion of -1 in re
0.868 * [backup-simplify]: Simplify -1 into -1
0.868 * [taylor]: Taking taylor expansion of re in re
0.868 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify 1 into 1
0.868 * [backup-simplify]: Simplify (/ -1 1) into -1
0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.869 * [taylor]: Taking taylor expansion of -1 in re
0.869 * [backup-simplify]: Simplify -1 into -1
0.869 * [taylor]: Taking taylor expansion of re in re
0.869 * [backup-simplify]: Simplify 0 into 0
0.869 * [backup-simplify]: Simplify 1 into 1
0.869 * [backup-simplify]: Simplify (/ -1 1) into -1
0.869 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.869 * [taylor]: Taking taylor expansion of -1 in re
0.869 * [backup-simplify]: Simplify -1 into -1
0.869 * [taylor]: Taking taylor expansion of im in re
0.869 * [backup-simplify]: Simplify im into im
0.869 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.869 * [taylor]: Taking taylor expansion of -1 in re
0.869 * [backup-simplify]: Simplify -1 into -1
0.869 * [taylor]: Taking taylor expansion of im in re
0.869 * [backup-simplify]: Simplify im into im
0.869 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.869 * [backup-simplify]: Simplify (* -1 -1) into 1
0.870 * [backup-simplify]: Simplify (+ 1 0) into 1
0.870 * [backup-simplify]: Simplify (sqrt 1) into 1
0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.872 * [backup-simplify]: Simplify (+ 0 0) into 0
0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.872 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.872 * [taylor]: Taking taylor expansion of re in re
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 1 into 1
0.872 * [backup-simplify]: Simplify (/ 1 1) into 1
0.873 * [backup-simplify]: Simplify (+ 1 1) into 2
0.873 * [backup-simplify]: Simplify (sqrt 0) into 0
0.874 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.874 * [taylor]: Taking taylor expansion of 2.0 in re
0.874 * [backup-simplify]: Simplify 2.0 into 2.0
0.874 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.875 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.875 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.875 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.875 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.875 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.875 * [taylor]: Taking taylor expansion of -1 in re
0.875 * [backup-simplify]: Simplify -1 into -1
0.875 * [taylor]: Taking taylor expansion of re in re
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 1 into 1
0.875 * [backup-simplify]: Simplify (/ -1 1) into -1
0.875 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.875 * [taylor]: Taking taylor expansion of -1 in re
0.875 * [backup-simplify]: Simplify -1 into -1
0.875 * [taylor]: Taking taylor expansion of re in re
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 1 into 1
0.875 * [backup-simplify]: Simplify (/ -1 1) into -1
0.875 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.875 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.875 * [taylor]: Taking taylor expansion of -1 in re
0.875 * [backup-simplify]: Simplify -1 into -1
0.875 * [taylor]: Taking taylor expansion of im in re
0.875 * [backup-simplify]: Simplify im into im
0.876 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.876 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.876 * [taylor]: Taking taylor expansion of -1 in re
0.876 * [backup-simplify]: Simplify -1 into -1
0.876 * [taylor]: Taking taylor expansion of im in re
0.876 * [backup-simplify]: Simplify im into im
0.876 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.876 * [backup-simplify]: Simplify (* -1 -1) into 1
0.876 * [backup-simplify]: Simplify (+ 1 0) into 1
0.876 * [backup-simplify]: Simplify (sqrt 1) into 1
0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.878 * [backup-simplify]: Simplify (+ 0 0) into 0
0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.879 * [taylor]: Taking taylor expansion of re in re
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [backup-simplify]: Simplify (/ 1 1) into 1
0.879 * [backup-simplify]: Simplify (+ 1 1) into 2
0.879 * [backup-simplify]: Simplify (sqrt 0) into 0
0.880 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.881 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.881 * [taylor]: Taking taylor expansion of 0 in im
0.881 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.882 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.882 * [taylor]: Taking taylor expansion of +nan.0 in im
0.882 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.882 * [taylor]: Taking taylor expansion of 2.0 in im
0.882 * [backup-simplify]: Simplify 2.0 into 2.0
0.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.884 * [backup-simplify]: Simplify (+ 0 0) into 0
0.885 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.887 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.888 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.888 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.888 * [taylor]: Taking taylor expansion of +nan.0 in im
0.888 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.888 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.888 * [taylor]: Taking taylor expansion of 2.0 in im
0.888 * [backup-simplify]: Simplify 2.0 into 2.0
0.888 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.889 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.891 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.892 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.892 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.896 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.902 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.904 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.905 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.905 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.905 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.905 * [taylor]: Taking taylor expansion of +nan.0 in im
0.905 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.905 * [taylor]: Taking taylor expansion of 2.0 in im
0.905 * [backup-simplify]: Simplify 2.0 into 2.0
0.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.906 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.906 * [taylor]: Taking taylor expansion of +nan.0 in im
0.906 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.906 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.906 * [taylor]: Taking taylor expansion of 2.0 in im
0.906 * [backup-simplify]: Simplify 2.0 into 2.0
0.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.907 * [taylor]: Taking taylor expansion of im in im
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify 1 into 1
0.908 * [backup-simplify]: Simplify (* 1 1) into 1
0.909 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.912 * [backup-simplify]: Simplify (- 0) into 0
0.912 * [backup-simplify]: Simplify (+ 0 0) into 0
0.913 * [backup-simplify]: Simplify (- 0) into 0
0.913 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.915 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.917 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.918 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.918 * [backup-simplify]: Simplify (- 0) into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.922 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.922 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.922 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.923 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.923 * [backup-simplify]: Simplify (+ 0 0) into 0
0.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.925 * [backup-simplify]: Simplify (+ 0 0) into 0
0.926 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.930 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.930 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.930 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.930 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.930 * [taylor]: Taking taylor expansion of +nan.0 in im
0.930 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.930 * [taylor]: Taking taylor expansion of 2.0 in im
0.930 * [backup-simplify]: Simplify 2.0 into 2.0
0.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.931 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.931 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.931 * [taylor]: Taking taylor expansion of +nan.0 in im
0.931 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.931 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.931 * [taylor]: Taking taylor expansion of 2.0 in im
0.932 * [backup-simplify]: Simplify 2.0 into 2.0
0.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.933 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.933 * [taylor]: Taking taylor expansion of im in im
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 1 into 1
0.933 * [backup-simplify]: Simplify (* 1 1) into 1
0.934 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.937 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.937 * [backup-simplify]: Simplify (- 0) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.938 * [backup-simplify]: Simplify (- 0) into 0
0.938 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.944 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.944 * [backup-simplify]: Simplify (- 0) into 0
0.946 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.948 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.950 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.955 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.955 * * * [progress]: simplifying candidates
0.955 * * * * [progress]: [ 1 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))) 2.0))))>
0.956 * * * * [progress]: [ 2 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))) 2.0))))>
0.956 * * * * [progress]: [ 3 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))) 2.0))))>
0.956 * * * * [progress]: [ 4 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))) 2.0))))>
0.956 * * * * [progress]: [ 5 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))) 2.0))))>
0.956 * * * * [progress]: [ 6 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))) 2.0))))>
0.956 * * * * [progress]: [ 7 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))) 2.0))))>
0.956 * * * * [progress]: [ 8 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))) 2.0))))>
0.956 * * * * [progress]: [ 9 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1))) 2.0))))>
0.956 * * * * [progress]: [ 10 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (log1p (expm1 (- (hypot re im) re))) 2.0))))>
0.957 * * * * [progress]: [ 11 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (expm1 (log1p (- (hypot re im) re))) 2.0))))>
0.957 * * * * [progress]: [ 12 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))>
0.957 * * * * [progress]: [ 13 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))>
0.957 * * * * [progress]: [ 14 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma 1 (hypot re im) (- re)) 2.0))))>
0.957 * * * * [progress]: [ 15 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (log (/ (exp (hypot re im)) (exp re))) 2.0))))>
0.957 * * * * [progress]: [ 16 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (- (hypot re im) re) 1) 2.0))))>
0.957 * * * * [progress]: [ 17 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (- (hypot re im) re))) 2.0))))>
0.957 * * * * [progress]: [ 18 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (- (hypot re im) re))) 2.0))))>
0.957 * * * * [progress]: [ 19 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))) 2.0))))>
0.957 * * * * [progress]: [ 20 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))) 2.0))))>
0.957 * * * * [progress]: [ 21 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))>
0.957 * * * * [progress]: [ 22 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) 2.0))))>
0.957 * * * * [progress]: [ 23 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) (- re)) 2.0))))>
0.957 * * * * [progress]: [ 24 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 1 (- (hypot re im) re)) 2.0))))>
0.958 * * * * [progress]: [ 25 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re)) 2.0))))>
0.958 * * * * [progress]: [ 26 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re))) 2.0))))>
0.958 * * * * [progress]: [ 27 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 1 (- (hypot re im) re)) 2.0))))>
0.958 * * * * [progress]: [ 28 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) (- re)) 2.0))))>
0.958 * * * * [progress]: [ 29 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (posit16->real (real->posit16 (- (hypot re im) re))) 2.0))))>
0.958 * * * * [progress]: [ 30 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (sqrt (* (- (hypot re im) re) 2.0))))))>
0.958 * * * * [progress]: [ 31 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* (- (hypot re im) re) 2.0))))))>
0.958 * * * * [progress]: [ 32 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (- (hypot re im) re) 2.0) 1/2)))>
0.958 * * * * [progress]: [ 33 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* (- (hypot re im) re) 2.0)) 1)))>
0.958 * * * * [progress]: [ 34 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* (- (hypot re im) re) 2.0))))))>
0.958 * * * * [progress]: [ 35 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* (- (hypot re im) re) 2.0))))))>
0.958 * * * * [progress]: [ 36 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))))))>
0.958 * * * * [progress]: [ 37 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* (- (hypot re im) re) 2.0)) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (* (- (hypot re im) re) 2.0))))))>
0.958 * * * * [progress]: [ 38 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (- (hypot re im) re)) (sqrt 2.0))))>
0.959 * * * * [progress]: [ 39 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))>
0.959 * * * * [progress]: [ 40 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (+ (hypot re im) re)))))>
0.959 * * * * [progress]: [ 41 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (- (hypot re im) re) 2.0) (/ 1 2))))>
0.959 * * * * [progress]: [ 42 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (- (hypot re im) re) 2.0) (/ 1 2))))>
0.959 * * * * [progress]: [ 43 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))))))>
0.959 * * * * [progress]: [ 44 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* (- (hypot re im) re) 2.0)))))>
0.959 * * * * [progress]: [ 45 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* (- (hypot re im) re) 2.0))))))>
0.959 * * * * [progress]: [ 46 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (- im re) 2.0))))>
0.959 * * * * [progress]: [ 47 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 0 2.0))))>
0.959 * * * * [progress]: [ 48 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* -2 re) 2.0))))>
0.959 * * * * [progress]: [ 49 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))))>
0.959 * * * * [progress]: [ 50 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
0.959 * * * * [progress]: [ 51 / 51 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
0.961 * [simplify]: Simplifying (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma 1 (hypot re im) (- (* re 1))), (fma (- re) 1 (* re 1)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (/ (exp (hypot re im)) (exp re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (pow (hypot re im) 3) (pow re 3)), (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))), (- re), (- (* (hypot re im) (hypot re im)) (* re re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (expm1 (sqrt (* (- (hypot re im) re) 2.0))), (log1p (sqrt (* (- (hypot re im) re) 2.0))), (log (sqrt (* (- (hypot re im) re) 2.0))), (exp (sqrt (* (- (hypot re im) re) 2.0))), (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))), (cbrt (sqrt (* (- (hypot re im) re) 2.0))), (* (* (sqrt (* (- (hypot re im) re) 2.0)) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (* (- (hypot re im) re) 2.0))), (sqrt (- (hypot re im) re)), (sqrt 2.0), (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)), (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))), (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)), (sqrt (+ (hypot re im) re)), (/ 1 2), (/ 1 2), (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (real->posit16 (sqrt (* (- (hypot re im) re) 2.0))), (- im re), 0, (* -2 re), (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))), 0, (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.962 * * [simplify]: iteration 1: (109 enodes)
1.000 * * [simplify]: iteration 2: (415 enodes)
1.120 * * [simplify]: iteration 3: (673 enodes)
1.352 * * [simplify]: iteration 4: (1558 enodes)
2.575 * * [simplify]: Extracting #0: cost 38 inf + 0
2.576 * * [simplify]: Extracting #1: cost 257 inf + 2
2.592 * * [simplify]: Extracting #2: cost 764 inf + 2566
2.614 * * [simplify]: Extracting #3: cost 697 inf + 49372
2.681 * * [simplify]: Extracting #4: cost 147 inf + 159329
2.744 * * [simplify]: Extracting #5: cost 9 inf + 206855
2.804 * * [simplify]: Extracting #6: cost 0 inf + 209191
2.863 * [simplify]: Simplified to (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (- (hypot re im) re), (- re re), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (exp (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* re (* re re))), (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im))), (- re), (* (+ re (hypot re im)) (- (hypot re im) re)), (+ re (hypot re im)), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (expm1 (sqrt (* (- (hypot re im) re) 2.0))), (log1p (sqrt (* (- (hypot re im) re) 2.0))), (log (sqrt (* (- (hypot re im) re) 2.0))), (exp (sqrt (* (- (hypot re im) re) 2.0))), (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))), (cbrt (sqrt (* (- (hypot re im) re) 2.0))), (* (sqrt (* (- (hypot re im) re) 2.0)) (* (- (hypot re im) re) 2.0)), (sqrt (- (hypot re im) re)), (sqrt 2.0), (sqrt (* (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* re (* re re))) 2.0)), (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))), (sqrt (* (* (+ re (hypot re im)) 2.0) (- (hypot re im) re))), (sqrt (+ re (hypot re im))), 1/2, 1/2, (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (real->posit16 (sqrt (* (- (hypot re im) re) 2.0))), (- im re), 0, (* -2 re), (- (* (* (* im (sqrt 2.0)) +nan.0) (- im re)) (* (* im (sqrt 2.0)) +nan.0)), 0, (* +nan.0 (- (- (/ (sqrt 2.0) re) (/ (/ (sqrt 2.0) re) re)) (sqrt 2.0)))
2.871 * * * [progress]: adding candidates to table
3.313 * * [progress]: iteration 2 / 4
3.313 * * * [progress]: picking best candidate
3.327 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))>
3.327 * * * [progress]: localizing error
3.347 * * * [progress]: generating rewritten candidates
3.348 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1)
3.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1)
3.363 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
3.402 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
3.448 * * * [progress]: generating series expansions
3.448 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1)
3.448 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
3.448 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
3.448 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.449 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.449 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.449 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.449 * [taylor]: Taking taylor expansion of (* re re) in im
3.449 * [taylor]: Taking taylor expansion of re in im
3.449 * [backup-simplify]: Simplify re into re
3.449 * [taylor]: Taking taylor expansion of re in im
3.449 * [backup-simplify]: Simplify re into re
3.449 * [taylor]: Taking taylor expansion of (* im im) in im
3.449 * [taylor]: Taking taylor expansion of im in im
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.449 * [taylor]: Taking taylor expansion of im in im
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.449 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.449 * [backup-simplify]: Simplify (* 0 0) into 0
3.449 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.450 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.450 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.450 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.450 * [backup-simplify]: Simplify (+ 0 0) into 0
3.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.450 * [taylor]: Taking taylor expansion of re in im
3.450 * [backup-simplify]: Simplify re into re
3.450 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.450 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.450 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.450 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.450 * [taylor]: Taking taylor expansion of (* re re) in re
3.451 * [taylor]: Taking taylor expansion of re in re
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [taylor]: Taking taylor expansion of re in re
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [taylor]: Taking taylor expansion of (* im im) in re
3.451 * [taylor]: Taking taylor expansion of im in re
3.451 * [backup-simplify]: Simplify im into im
3.451 * [taylor]: Taking taylor expansion of im in re
3.451 * [backup-simplify]: Simplify im into im
3.451 * [backup-simplify]: Simplify (* 0 0) into 0
3.451 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.451 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.451 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.451 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.452 * [taylor]: Taking taylor expansion of re in re
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.452 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.452 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.452 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.452 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.452 * [taylor]: Taking taylor expansion of (* re re) in re
3.452 * [taylor]: Taking taylor expansion of re in re
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.452 * [taylor]: Taking taylor expansion of re in re
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.452 * [taylor]: Taking taylor expansion of (* im im) in re
3.452 * [taylor]: Taking taylor expansion of im in re
3.452 * [backup-simplify]: Simplify im into im
3.452 * [taylor]: Taking taylor expansion of im in re
3.452 * [backup-simplify]: Simplify im into im
3.452 * [backup-simplify]: Simplify (* 0 0) into 0
3.453 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.453 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.453 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.453 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.454 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.454 * [taylor]: Taking taylor expansion of re in re
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [backup-simplify]: Simplify (- 0) into 0
3.454 * [backup-simplify]: Simplify (+ im 0) into im
3.454 * [taylor]: Taking taylor expansion of im in im
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify (- 1) into -1
3.455 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.455 * [taylor]: Taking taylor expansion of -1 in im
3.455 * [backup-simplify]: Simplify -1 into -1
3.455 * [backup-simplify]: Simplify -1 into -1
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.456 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.456 * [backup-simplify]: Simplify (+ 1 0) into 1
3.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.457 * [backup-simplify]: Simplify (- 0) into 0
3.457 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.457 * [taylor]: Taking taylor expansion of 1/2 in im
3.457 * [backup-simplify]: Simplify 1/2 into 1/2
3.457 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.457 * [taylor]: Taking taylor expansion of im in im
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [backup-simplify]: Simplify (/ 1 1) into 1
3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.460 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.460 * [backup-simplify]: Simplify (+ 0 0) into 0
3.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.460 * [backup-simplify]: Simplify (- 0) into 0
3.461 * [backup-simplify]: Simplify (+ 0 0) into 0
3.461 * [taylor]: Taking taylor expansion of 0 in im
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.462 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.462 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.462 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.462 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.462 * [taylor]: Taking taylor expansion of re in im
3.462 * [backup-simplify]: Simplify re into re
3.462 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.462 * [taylor]: Taking taylor expansion of re in im
3.462 * [backup-simplify]: Simplify re into re
3.462 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.462 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.462 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.462 * [taylor]: Taking taylor expansion of im in im
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify (/ 1 1) into 1
3.463 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.463 * [taylor]: Taking taylor expansion of im in im
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify (/ 1 1) into 1
3.463 * [backup-simplify]: Simplify (* 1 1) into 1
3.464 * [backup-simplify]: Simplify (+ 0 1) into 1
3.464 * [backup-simplify]: Simplify (sqrt 1) into 1
3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.466 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.466 * [taylor]: Taking taylor expansion of re in im
3.466 * [backup-simplify]: Simplify re into re
3.466 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.466 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.466 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.466 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.467 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.467 * [taylor]: Taking taylor expansion of re in re
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 1 into 1
3.467 * [backup-simplify]: Simplify (/ 1 1) into 1
3.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.467 * [taylor]: Taking taylor expansion of re in re
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 1 into 1
3.467 * [backup-simplify]: Simplify (/ 1 1) into 1
3.467 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.467 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.467 * [taylor]: Taking taylor expansion of im in re
3.467 * [backup-simplify]: Simplify im into im
3.467 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.467 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.467 * [taylor]: Taking taylor expansion of im in re
3.467 * [backup-simplify]: Simplify im into im
3.467 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.468 * [backup-simplify]: Simplify (* 1 1) into 1
3.468 * [backup-simplify]: Simplify (+ 1 0) into 1
3.468 * [backup-simplify]: Simplify (sqrt 1) into 1
3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.470 * [backup-simplify]: Simplify (+ 0 0) into 0
3.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.470 * [taylor]: Taking taylor expansion of re in re
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 1 into 1
3.470 * [backup-simplify]: Simplify (/ 1 1) into 1
3.470 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.470 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.470 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.470 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.470 * [taylor]: Taking taylor expansion of re in re
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 1 into 1
3.471 * [backup-simplify]: Simplify (/ 1 1) into 1
3.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.471 * [taylor]: Taking taylor expansion of re in re
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.471 * [backup-simplify]: Simplify (/ 1 1) into 1
3.471 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.471 * [taylor]: Taking taylor expansion of im in re
3.471 * [backup-simplify]: Simplify im into im
3.471 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.471 * [taylor]: Taking taylor expansion of im in re
3.471 * [backup-simplify]: Simplify im into im
3.471 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.472 * [backup-simplify]: Simplify (* 1 1) into 1
3.472 * [backup-simplify]: Simplify (+ 1 0) into 1
3.472 * [backup-simplify]: Simplify (sqrt 1) into 1
3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.473 * [backup-simplify]: Simplify (+ 0 0) into 0
3.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.474 * [taylor]: Taking taylor expansion of re in re
3.474 * [backup-simplify]: Simplify 0 into 0
3.474 * [backup-simplify]: Simplify 1 into 1
3.474 * [backup-simplify]: Simplify (/ 1 1) into 1
3.475 * [backup-simplify]: Simplify (- 1) into -1
3.475 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.475 * [taylor]: Taking taylor expansion of 0 in im
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.475 * [backup-simplify]: Simplify (- 0) into 0
3.476 * [backup-simplify]: Simplify (+ 0 0) into 0
3.476 * [taylor]: Taking taylor expansion of 0 in im
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.477 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.478 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.478 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.479 * [backup-simplify]: Simplify (- 0) into 0
3.479 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.479 * [taylor]: Taking taylor expansion of 1/2 in im
3.479 * [backup-simplify]: Simplify 1/2 into 1/2
3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.479 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.479 * [taylor]: Taking taylor expansion of im in im
3.479 * [backup-simplify]: Simplify 0 into 0
3.479 * [backup-simplify]: Simplify 1 into 1
3.480 * [backup-simplify]: Simplify (* 1 1) into 1
3.480 * [backup-simplify]: Simplify (/ 1 1) into 1
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.485 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.487 * [backup-simplify]: Simplify (- 0) into 0
3.487 * [backup-simplify]: Simplify (+ 0 0) into 0
3.487 * [taylor]: Taking taylor expansion of 0 in im
3.487 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.490 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.491 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.491 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.491 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.491 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.491 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.491 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.491 * [taylor]: Taking taylor expansion of -1 in im
3.491 * [backup-simplify]: Simplify -1 into -1
3.491 * [taylor]: Taking taylor expansion of re in im
3.491 * [backup-simplify]: Simplify re into re
3.491 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.491 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.491 * [taylor]: Taking taylor expansion of -1 in im
3.491 * [backup-simplify]: Simplify -1 into -1
3.491 * [taylor]: Taking taylor expansion of re in im
3.491 * [backup-simplify]: Simplify re into re
3.491 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.491 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.491 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.491 * [taylor]: Taking taylor expansion of -1 in im
3.491 * [backup-simplify]: Simplify -1 into -1
3.491 * [taylor]: Taking taylor expansion of im in im
3.491 * [backup-simplify]: Simplify 0 into 0
3.491 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (/ -1 1) into -1
3.492 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.492 * [taylor]: Taking taylor expansion of -1 in im
3.492 * [backup-simplify]: Simplify -1 into -1
3.492 * [taylor]: Taking taylor expansion of im in im
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (/ -1 1) into -1
3.493 * [backup-simplify]: Simplify (* -1 -1) into 1
3.493 * [backup-simplify]: Simplify (+ 0 1) into 1
3.494 * [backup-simplify]: Simplify (sqrt 1) into 1
3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.496 * [backup-simplify]: Simplify (+ 0 0) into 0
3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.497 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.497 * [taylor]: Taking taylor expansion of re in im
3.497 * [backup-simplify]: Simplify re into re
3.497 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.497 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.497 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.497 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.497 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.497 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.497 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.497 * [taylor]: Taking taylor expansion of -1 in re
3.497 * [backup-simplify]: Simplify -1 into -1
3.498 * [taylor]: Taking taylor expansion of re in re
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (/ -1 1) into -1
3.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.498 * [taylor]: Taking taylor expansion of -1 in re
3.498 * [backup-simplify]: Simplify -1 into -1
3.498 * [taylor]: Taking taylor expansion of re in re
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 1 into 1
3.499 * [backup-simplify]: Simplify (/ -1 1) into -1
3.499 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.499 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.499 * [taylor]: Taking taylor expansion of -1 in re
3.499 * [backup-simplify]: Simplify -1 into -1
3.499 * [taylor]: Taking taylor expansion of im in re
3.499 * [backup-simplify]: Simplify im into im
3.499 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.499 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.499 * [taylor]: Taking taylor expansion of -1 in re
3.499 * [backup-simplify]: Simplify -1 into -1
3.499 * [taylor]: Taking taylor expansion of im in re
3.499 * [backup-simplify]: Simplify im into im
3.499 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.499 * [backup-simplify]: Simplify (* -1 -1) into 1
3.500 * [backup-simplify]: Simplify (+ 1 0) into 1
3.500 * [backup-simplify]: Simplify (sqrt 1) into 1
3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.503 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.503 * [backup-simplify]: Simplify (+ 0 0) into 0
3.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.504 * [taylor]: Taking taylor expansion of re in re
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify 1 into 1
3.504 * [backup-simplify]: Simplify (/ 1 1) into 1
3.504 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.504 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.504 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.504 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.504 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.504 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.504 * [taylor]: Taking taylor expansion of -1 in re
3.504 * [backup-simplify]: Simplify -1 into -1
3.505 * [taylor]: Taking taylor expansion of re in re
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 1 into 1
3.505 * [backup-simplify]: Simplify (/ -1 1) into -1
3.505 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.505 * [taylor]: Taking taylor expansion of -1 in re
3.505 * [backup-simplify]: Simplify -1 into -1
3.505 * [taylor]: Taking taylor expansion of re in re
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 1 into 1
3.506 * [backup-simplify]: Simplify (/ -1 1) into -1
3.506 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.506 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.506 * [taylor]: Taking taylor expansion of -1 in re
3.506 * [backup-simplify]: Simplify -1 into -1
3.506 * [taylor]: Taking taylor expansion of im in re
3.506 * [backup-simplify]: Simplify im into im
3.506 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.506 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.506 * [taylor]: Taking taylor expansion of -1 in re
3.506 * [backup-simplify]: Simplify -1 into -1
3.506 * [taylor]: Taking taylor expansion of im in re
3.506 * [backup-simplify]: Simplify im into im
3.506 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.506 * [backup-simplify]: Simplify (* -1 -1) into 1
3.506 * [backup-simplify]: Simplify (+ 1 0) into 1
3.507 * [backup-simplify]: Simplify (sqrt 1) into 1
3.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.508 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.509 * [taylor]: Taking taylor expansion of re in re
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (/ 1 1) into 1
3.509 * [backup-simplify]: Simplify (+ 1 1) into 2
3.509 * [taylor]: Taking taylor expansion of 2 in im
3.509 * [backup-simplify]: Simplify 2 into 2
3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.510 * [backup-simplify]: Simplify (+ 0 0) into 0
3.510 * [taylor]: Taking taylor expansion of 0 in im
3.510 * [backup-simplify]: Simplify 0 into 0
3.510 * [backup-simplify]: Simplify 2 into 2
3.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.512 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.513 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.513 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.513 * [taylor]: Taking taylor expansion of 1/2 in im
3.513 * [backup-simplify]: Simplify 1/2 into 1/2
3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.513 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.513 * [taylor]: Taking taylor expansion of im in im
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.514 * [backup-simplify]: Simplify (* 1 1) into 1
3.514 * [backup-simplify]: Simplify (/ 1 1) into 1
3.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.515 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.517 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.517 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.517 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.518 * [backup-simplify]: Simplify (+ 0 0) into 0
3.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.519 * [backup-simplify]: Simplify (+ 0 0) into 0
3.519 * [taylor]: Taking taylor expansion of 0 in im
3.519 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.521 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1)
3.521 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
3.521 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
3.521 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.521 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.521 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.521 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.521 * [taylor]: Taking taylor expansion of (* re re) in im
3.521 * [taylor]: Taking taylor expansion of re in im
3.521 * [backup-simplify]: Simplify re into re
3.521 * [taylor]: Taking taylor expansion of re in im
3.521 * [backup-simplify]: Simplify re into re
3.521 * [taylor]: Taking taylor expansion of (* im im) in im
3.521 * [taylor]: Taking taylor expansion of im in im
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [taylor]: Taking taylor expansion of im in im
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.521 * [backup-simplify]: Simplify (* 0 0) into 0
3.521 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.521 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.521 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.522 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.522 * [backup-simplify]: Simplify (+ 0 0) into 0
3.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.522 * [taylor]: Taking taylor expansion of re in im
3.522 * [backup-simplify]: Simplify re into re
3.522 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.522 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.522 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.522 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.522 * [taylor]: Taking taylor expansion of (* re re) in re
3.522 * [taylor]: Taking taylor expansion of re in re
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 1 into 1
3.522 * [taylor]: Taking taylor expansion of re in re
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 1 into 1
3.522 * [taylor]: Taking taylor expansion of (* im im) in re
3.522 * [taylor]: Taking taylor expansion of im in re
3.522 * [backup-simplify]: Simplify im into im
3.522 * [taylor]: Taking taylor expansion of im in re
3.522 * [backup-simplify]: Simplify im into im
3.523 * [backup-simplify]: Simplify (* 0 0) into 0
3.523 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.523 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.523 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.523 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.523 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.524 * [backup-simplify]: Simplify (+ 0 0) into 0
3.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.524 * [taylor]: Taking taylor expansion of re in re
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 1 into 1
3.524 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.524 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.524 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.524 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.524 * [taylor]: Taking taylor expansion of (* re re) in re
3.524 * [taylor]: Taking taylor expansion of re in re
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 1 into 1
3.524 * [taylor]: Taking taylor expansion of re in re
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 1 into 1
3.524 * [taylor]: Taking taylor expansion of (* im im) in re
3.524 * [taylor]: Taking taylor expansion of im in re
3.524 * [backup-simplify]: Simplify im into im
3.524 * [taylor]: Taking taylor expansion of im in re
3.524 * [backup-simplify]: Simplify im into im
3.524 * [backup-simplify]: Simplify (* 0 0) into 0
3.524 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.525 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.525 * [backup-simplify]: Simplify (+ 0 0) into 0
3.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.525 * [taylor]: Taking taylor expansion of re in re
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (- 0) into 0
3.525 * [backup-simplify]: Simplify (+ im 0) into im
3.525 * [taylor]: Taking taylor expansion of im in im
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify (- 1) into -1
3.526 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.526 * [taylor]: Taking taylor expansion of -1 in im
3.526 * [backup-simplify]: Simplify -1 into -1
3.526 * [backup-simplify]: Simplify -1 into -1
3.526 * [backup-simplify]: Simplify 1 into 1
3.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.527 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.527 * [backup-simplify]: Simplify (+ 1 0) into 1
3.528 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.528 * [backup-simplify]: Simplify (- 0) into 0
3.528 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.528 * [taylor]: Taking taylor expansion of 1/2 in im
3.528 * [backup-simplify]: Simplify 1/2 into 1/2
3.528 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.528 * [taylor]: Taking taylor expansion of im in im
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (/ 1 1) into 1
3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.530 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.531 * [backup-simplify]: Simplify (+ 0 0) into 0
3.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.531 * [backup-simplify]: Simplify (- 0) into 0
3.531 * [backup-simplify]: Simplify (+ 0 0) into 0
3.531 * [taylor]: Taking taylor expansion of 0 in im
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.533 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.533 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.533 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.533 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.533 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.533 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.533 * [taylor]: Taking taylor expansion of re in im
3.533 * [backup-simplify]: Simplify re into re
3.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.533 * [taylor]: Taking taylor expansion of re in im
3.533 * [backup-simplify]: Simplify re into re
3.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.533 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.533 * [taylor]: Taking taylor expansion of im in im
3.533 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify 1 into 1
3.533 * [backup-simplify]: Simplify (/ 1 1) into 1
3.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.533 * [taylor]: Taking taylor expansion of im in im
3.533 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify 1 into 1
3.534 * [backup-simplify]: Simplify (/ 1 1) into 1
3.534 * [backup-simplify]: Simplify (* 1 1) into 1
3.535 * [backup-simplify]: Simplify (+ 0 1) into 1
3.535 * [backup-simplify]: Simplify (sqrt 1) into 1
3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.538 * [backup-simplify]: Simplify (+ 0 0) into 0
3.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.539 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.539 * [taylor]: Taking taylor expansion of re in im
3.539 * [backup-simplify]: Simplify re into re
3.539 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.539 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.539 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.539 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.539 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.539 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.539 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.539 * [taylor]: Taking taylor expansion of re in re
3.539 * [backup-simplify]: Simplify 0 into 0
3.539 * [backup-simplify]: Simplify 1 into 1
3.539 * [backup-simplify]: Simplify (/ 1 1) into 1
3.539 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.539 * [taylor]: Taking taylor expansion of re in re
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 1 into 1
3.540 * [backup-simplify]: Simplify (/ 1 1) into 1
3.540 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.540 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.540 * [taylor]: Taking taylor expansion of im in re
3.540 * [backup-simplify]: Simplify im into im
3.540 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.540 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.540 * [taylor]: Taking taylor expansion of im in re
3.540 * [backup-simplify]: Simplify im into im
3.540 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.541 * [backup-simplify]: Simplify (* 1 1) into 1
3.544 * [backup-simplify]: Simplify (+ 1 0) into 1
3.545 * [backup-simplify]: Simplify (sqrt 1) into 1
3.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.548 * [backup-simplify]: Simplify (+ 0 0) into 0
3.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.549 * [taylor]: Taking taylor expansion of re in re
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.549 * [backup-simplify]: Simplify (/ 1 1) into 1
3.549 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.549 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.549 * [taylor]: Taking taylor expansion of re in re
3.549 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify 1 into 1
3.550 * [backup-simplify]: Simplify (/ 1 1) into 1
3.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.550 * [taylor]: Taking taylor expansion of re in re
3.550 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify 1 into 1
3.550 * [backup-simplify]: Simplify (/ 1 1) into 1
3.550 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.551 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.551 * [taylor]: Taking taylor expansion of im in re
3.551 * [backup-simplify]: Simplify im into im
3.551 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.551 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.551 * [taylor]: Taking taylor expansion of im in re
3.551 * [backup-simplify]: Simplify im into im
3.551 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.551 * [backup-simplify]: Simplify (* 1 1) into 1
3.552 * [backup-simplify]: Simplify (+ 1 0) into 1
3.552 * [backup-simplify]: Simplify (sqrt 1) into 1
3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.555 * [backup-simplify]: Simplify (+ 0 0) into 0
3.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.556 * [taylor]: Taking taylor expansion of re in re
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 1 into 1
3.556 * [backup-simplify]: Simplify (/ 1 1) into 1
3.557 * [backup-simplify]: Simplify (- 1) into -1
3.557 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.557 * [taylor]: Taking taylor expansion of 0 in im
3.557 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.559 * [backup-simplify]: Simplify (- 0) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [taylor]: Taking taylor expansion of 0 in im
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.562 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.563 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.564 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.565 * [backup-simplify]: Simplify (- 0) into 0
3.565 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.565 * [taylor]: Taking taylor expansion of 1/2 in im
3.565 * [backup-simplify]: Simplify 1/2 into 1/2
3.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.565 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.565 * [taylor]: Taking taylor expansion of im in im
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (* 1 1) into 1
3.566 * [backup-simplify]: Simplify (/ 1 1) into 1
3.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.570 * [backup-simplify]: Simplify (+ 0 0) into 0
3.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.571 * [backup-simplify]: Simplify (- 0) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.571 * [taylor]: Taking taylor expansion of 0 in im
3.571 * [backup-simplify]: Simplify 0 into 0
3.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.573 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.573 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.573 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.573 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.573 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.573 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.573 * [taylor]: Taking taylor expansion of -1 in im
3.573 * [backup-simplify]: Simplify -1 into -1
3.573 * [taylor]: Taking taylor expansion of re in im
3.573 * [backup-simplify]: Simplify re into re
3.573 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.573 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.573 * [taylor]: Taking taylor expansion of -1 in im
3.573 * [backup-simplify]: Simplify -1 into -1
3.573 * [taylor]: Taking taylor expansion of re in im
3.573 * [backup-simplify]: Simplify re into re
3.573 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.573 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.573 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.573 * [taylor]: Taking taylor expansion of -1 in im
3.573 * [backup-simplify]: Simplify -1 into -1
3.573 * [taylor]: Taking taylor expansion of im in im
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 1 into 1
3.574 * [backup-simplify]: Simplify (/ -1 1) into -1
3.574 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.574 * [taylor]: Taking taylor expansion of -1 in im
3.574 * [backup-simplify]: Simplify -1 into -1
3.574 * [taylor]: Taking taylor expansion of im in im
3.574 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify 1 into 1
3.574 * [backup-simplify]: Simplify (/ -1 1) into -1
3.574 * [backup-simplify]: Simplify (* -1 -1) into 1
3.575 * [backup-simplify]: Simplify (+ 0 1) into 1
3.575 * [backup-simplify]: Simplify (sqrt 1) into 1
3.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.576 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.577 * [backup-simplify]: Simplify (+ 0 0) into 0
3.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.577 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.577 * [taylor]: Taking taylor expansion of re in im
3.577 * [backup-simplify]: Simplify re into re
3.577 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.577 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.577 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.577 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.577 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.577 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.577 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.577 * [taylor]: Taking taylor expansion of -1 in re
3.577 * [backup-simplify]: Simplify -1 into -1
3.577 * [taylor]: Taking taylor expansion of re in re
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (/ -1 1) into -1
3.578 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.578 * [taylor]: Taking taylor expansion of -1 in re
3.578 * [backup-simplify]: Simplify -1 into -1
3.578 * [taylor]: Taking taylor expansion of re in re
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (/ -1 1) into -1
3.578 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.578 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.578 * [taylor]: Taking taylor expansion of -1 in re
3.578 * [backup-simplify]: Simplify -1 into -1
3.578 * [taylor]: Taking taylor expansion of im in re
3.578 * [backup-simplify]: Simplify im into im
3.578 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.578 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.578 * [taylor]: Taking taylor expansion of -1 in re
3.578 * [backup-simplify]: Simplify -1 into -1
3.578 * [taylor]: Taking taylor expansion of im in re
3.578 * [backup-simplify]: Simplify im into im
3.578 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.578 * [backup-simplify]: Simplify (* -1 -1) into 1
3.579 * [backup-simplify]: Simplify (+ 1 0) into 1
3.579 * [backup-simplify]: Simplify (sqrt 1) into 1
3.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.581 * [backup-simplify]: Simplify (+ 0 0) into 0
3.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.581 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.581 * [taylor]: Taking taylor expansion of re in re
3.581 * [backup-simplify]: Simplify 0 into 0
3.581 * [backup-simplify]: Simplify 1 into 1
3.582 * [backup-simplify]: Simplify (/ 1 1) into 1
3.582 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.582 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.582 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.582 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.582 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.582 * [taylor]: Taking taylor expansion of -1 in re
3.582 * [backup-simplify]: Simplify -1 into -1
3.582 * [taylor]: Taking taylor expansion of re in re
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 1 into 1
3.582 * [backup-simplify]: Simplify (/ -1 1) into -1
3.582 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.582 * [taylor]: Taking taylor expansion of -1 in re
3.582 * [backup-simplify]: Simplify -1 into -1
3.582 * [taylor]: Taking taylor expansion of re in re
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 1 into 1
3.582 * [backup-simplify]: Simplify (/ -1 1) into -1
3.582 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.583 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.583 * [taylor]: Taking taylor expansion of -1 in re
3.583 * [backup-simplify]: Simplify -1 into -1
3.583 * [taylor]: Taking taylor expansion of im in re
3.583 * [backup-simplify]: Simplify im into im
3.583 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.583 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.583 * [taylor]: Taking taylor expansion of -1 in re
3.583 * [backup-simplify]: Simplify -1 into -1
3.583 * [taylor]: Taking taylor expansion of im in re
3.583 * [backup-simplify]: Simplify im into im
3.583 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.583 * [backup-simplify]: Simplify (* -1 -1) into 1
3.583 * [backup-simplify]: Simplify (+ 1 0) into 1
3.584 * [backup-simplify]: Simplify (sqrt 1) into 1
3.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.585 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.586 * [taylor]: Taking taylor expansion of re in re
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 1 into 1
3.586 * [backup-simplify]: Simplify (/ 1 1) into 1
3.586 * [backup-simplify]: Simplify (+ 1 1) into 2
3.586 * [taylor]: Taking taylor expansion of 2 in im
3.586 * [backup-simplify]: Simplify 2 into 2
3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.587 * [backup-simplify]: Simplify (+ 0 0) into 0
3.587 * [taylor]: Taking taylor expansion of 0 in im
3.587 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify 2 into 2
3.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.589 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.589 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.589 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.590 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.591 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.591 * [taylor]: Taking taylor expansion of 1/2 in im
3.591 * [backup-simplify]: Simplify 1/2 into 1/2
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.591 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.591 * [taylor]: Taking taylor expansion of im in im
3.591 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify 1 into 1
3.591 * [backup-simplify]: Simplify (* 1 1) into 1
3.591 * [backup-simplify]: Simplify (/ 1 1) into 1
3.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.595 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.595 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.595 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.596 * [backup-simplify]: Simplify (+ 0 0) into 0
3.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.597 * [taylor]: Taking taylor expansion of 0 in im
3.597 * [backup-simplify]: Simplify 0 into 0
3.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.599 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
3.599 * [backup-simplify]: Simplify (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) into (- (hypot re im) re)
3.599 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
3.599 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.599 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.600 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.600 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.600 * [taylor]: Taking taylor expansion of (* re re) in im
3.600 * [taylor]: Taking taylor expansion of re in im
3.600 * [backup-simplify]: Simplify re into re
3.600 * [taylor]: Taking taylor expansion of re in im
3.600 * [backup-simplify]: Simplify re into re
3.600 * [taylor]: Taking taylor expansion of (* im im) in im
3.600 * [taylor]: Taking taylor expansion of im in im
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 1 into 1
3.600 * [taylor]: Taking taylor expansion of im in im
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 1 into 1
3.600 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.600 * [backup-simplify]: Simplify (* 0 0) into 0
3.600 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.600 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.600 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.601 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.601 * [backup-simplify]: Simplify (+ 0 0) into 0
3.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.601 * [taylor]: Taking taylor expansion of re in im
3.601 * [backup-simplify]: Simplify re into re
3.601 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.601 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.601 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.601 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.601 * [taylor]: Taking taylor expansion of (* re re) in re
3.601 * [taylor]: Taking taylor expansion of re in re
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of re in re
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of (* im im) in re
3.601 * [taylor]: Taking taylor expansion of im in re
3.601 * [backup-simplify]: Simplify im into im
3.601 * [taylor]: Taking taylor expansion of im in re
3.601 * [backup-simplify]: Simplify im into im
3.602 * [backup-simplify]: Simplify (* 0 0) into 0
3.602 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.602 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.602 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.603 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.603 * [backup-simplify]: Simplify (+ 0 0) into 0
3.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.603 * [taylor]: Taking taylor expansion of re in re
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.603 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.603 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.603 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.603 * [taylor]: Taking taylor expansion of (* re re) in re
3.603 * [taylor]: Taking taylor expansion of re in re
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 1 into 1
3.604 * [taylor]: Taking taylor expansion of re in re
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 1 into 1
3.604 * [taylor]: Taking taylor expansion of (* im im) in re
3.604 * [taylor]: Taking taylor expansion of im in re
3.604 * [backup-simplify]: Simplify im into im
3.604 * [taylor]: Taking taylor expansion of im in re
3.604 * [backup-simplify]: Simplify im into im
3.604 * [backup-simplify]: Simplify (* 0 0) into 0
3.604 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.604 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.604 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.605 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.605 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.606 * [taylor]: Taking taylor expansion of re in re
3.606 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify 1 into 1
3.606 * [backup-simplify]: Simplify (- 0) into 0
3.606 * [backup-simplify]: Simplify (+ im 0) into im
3.606 * [taylor]: Taking taylor expansion of im in im
3.606 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify 1 into 1
3.606 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify (- 1) into -1
3.607 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.607 * [taylor]: Taking taylor expansion of -1 in im
3.607 * [backup-simplify]: Simplify -1 into -1
3.607 * [backup-simplify]: Simplify -1 into -1
3.607 * [backup-simplify]: Simplify 1 into 1
3.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.609 * [backup-simplify]: Simplify (+ 1 0) into 1
3.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.610 * [backup-simplify]: Simplify (- 0) into 0
3.610 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.610 * [taylor]: Taking taylor expansion of 1/2 in im
3.610 * [backup-simplify]: Simplify 1/2 into 1/2
3.610 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.610 * [taylor]: Taking taylor expansion of im in im
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 1 into 1
3.611 * [backup-simplify]: Simplify (/ 1 1) into 1
3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.614 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.615 * [backup-simplify]: Simplify (+ 0 0) into 0
3.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.615 * [backup-simplify]: Simplify (- 0) into 0
3.616 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [taylor]: Taking taylor expansion of 0 in im
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 0 into 0
3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.618 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.618 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.618 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.618 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.618 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.618 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.619 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.619 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.619 * [taylor]: Taking taylor expansion of re in im
3.619 * [backup-simplify]: Simplify re into re
3.619 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.619 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.619 * [taylor]: Taking taylor expansion of re in im
3.619 * [backup-simplify]: Simplify re into re
3.619 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.619 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.619 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.619 * [taylor]: Taking taylor expansion of im in im
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 1 into 1
3.619 * [backup-simplify]: Simplify (/ 1 1) into 1
3.619 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.619 * [taylor]: Taking taylor expansion of im in im
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 1 into 1
3.620 * [backup-simplify]: Simplify (/ 1 1) into 1
3.620 * [backup-simplify]: Simplify (* 1 1) into 1
3.621 * [backup-simplify]: Simplify (+ 0 1) into 1
3.621 * [backup-simplify]: Simplify (sqrt 1) into 1
3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.624 * [backup-simplify]: Simplify (+ 0 0) into 0
3.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.625 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.625 * [taylor]: Taking taylor expansion of re in im
3.625 * [backup-simplify]: Simplify re into re
3.625 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.625 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.625 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.625 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.625 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.625 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.625 * [taylor]: Taking taylor expansion of re in re
3.625 * [backup-simplify]: Simplify 0 into 0
3.625 * [backup-simplify]: Simplify 1 into 1
3.626 * [backup-simplify]: Simplify (/ 1 1) into 1
3.626 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.626 * [taylor]: Taking taylor expansion of re in re
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 1 into 1
3.626 * [backup-simplify]: Simplify (/ 1 1) into 1
3.626 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.626 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.626 * [taylor]: Taking taylor expansion of im in re
3.626 * [backup-simplify]: Simplify im into im
3.627 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.627 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.627 * [taylor]: Taking taylor expansion of im in re
3.627 * [backup-simplify]: Simplify im into im
3.627 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.627 * [backup-simplify]: Simplify (* 1 1) into 1
3.628 * [backup-simplify]: Simplify (+ 1 0) into 1
3.628 * [backup-simplify]: Simplify (sqrt 1) into 1
3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.631 * [backup-simplify]: Simplify (+ 0 0) into 0
3.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.631 * [taylor]: Taking taylor expansion of re in re
3.632 * [backup-simplify]: Simplify 0 into 0
3.632 * [backup-simplify]: Simplify 1 into 1
3.632 * [backup-simplify]: Simplify (/ 1 1) into 1
3.632 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.632 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.632 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.632 * [taylor]: Taking taylor expansion of re in re
3.632 * [backup-simplify]: Simplify 0 into 0
3.632 * [backup-simplify]: Simplify 1 into 1
3.633 * [backup-simplify]: Simplify (/ 1 1) into 1
3.633 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.633 * [taylor]: Taking taylor expansion of re in re
3.633 * [backup-simplify]: Simplify 0 into 0
3.633 * [backup-simplify]: Simplify 1 into 1
3.633 * [backup-simplify]: Simplify (/ 1 1) into 1
3.633 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.633 * [taylor]: Taking taylor expansion of im in re
3.633 * [backup-simplify]: Simplify im into im
3.633 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.633 * [taylor]: Taking taylor expansion of im in re
3.633 * [backup-simplify]: Simplify im into im
3.634 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.634 * [backup-simplify]: Simplify (* 1 1) into 1
3.634 * [backup-simplify]: Simplify (+ 1 0) into 1
3.635 * [backup-simplify]: Simplify (sqrt 1) into 1
3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.637 * [backup-simplify]: Simplify (+ 0 0) into 0
3.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.638 * [taylor]: Taking taylor expansion of re in re
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.639 * [backup-simplify]: Simplify (/ 1 1) into 1
3.639 * [backup-simplify]: Simplify (- 1) into -1
3.639 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.639 * [taylor]: Taking taylor expansion of 0 in im
3.639 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.641 * [backup-simplify]: Simplify (- 0) into 0
3.641 * [backup-simplify]: Simplify (+ 0 0) into 0
3.641 * [taylor]: Taking taylor expansion of 0 in im
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 0 into 0
3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.644 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.644 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.647 * [backup-simplify]: Simplify (- 0) into 0
3.647 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.647 * [taylor]: Taking taylor expansion of 1/2 in im
3.647 * [backup-simplify]: Simplify 1/2 into 1/2
3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.647 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.647 * [taylor]: Taking taylor expansion of im in im
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [backup-simplify]: Simplify (* 1 1) into 1
3.648 * [backup-simplify]: Simplify (/ 1 1) into 1
3.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.652 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.653 * [backup-simplify]: Simplify (- 0) into 0
3.653 * [backup-simplify]: Simplify (+ 0 0) into 0
3.653 * [taylor]: Taking taylor expansion of 0 in im
3.653 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.655 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.655 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.655 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.655 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.655 * [taylor]: Taking taylor expansion of -1 in im
3.655 * [backup-simplify]: Simplify -1 into -1
3.655 * [taylor]: Taking taylor expansion of re in im
3.655 * [backup-simplify]: Simplify re into re
3.655 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.656 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.656 * [taylor]: Taking taylor expansion of -1 in im
3.656 * [backup-simplify]: Simplify -1 into -1
3.656 * [taylor]: Taking taylor expansion of re in im
3.656 * [backup-simplify]: Simplify re into re
3.656 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.656 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.656 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.656 * [taylor]: Taking taylor expansion of -1 in im
3.656 * [backup-simplify]: Simplify -1 into -1
3.656 * [taylor]: Taking taylor expansion of im in im
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (/ -1 1) into -1
3.656 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.656 * [taylor]: Taking taylor expansion of -1 in im
3.656 * [backup-simplify]: Simplify -1 into -1
3.656 * [taylor]: Taking taylor expansion of im in im
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (/ -1 1) into -1
3.657 * [backup-simplify]: Simplify (* -1 -1) into 1
3.657 * [backup-simplify]: Simplify (+ 0 1) into 1
3.657 * [backup-simplify]: Simplify (sqrt 1) into 1
3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.659 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.659 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.659 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.659 * [taylor]: Taking taylor expansion of re in im
3.659 * [backup-simplify]: Simplify re into re
3.659 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.659 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.659 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.659 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.659 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.659 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.659 * [taylor]: Taking taylor expansion of -1 in re
3.660 * [backup-simplify]: Simplify -1 into -1
3.660 * [taylor]: Taking taylor expansion of re in re
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.660 * [backup-simplify]: Simplify (/ -1 1) into -1
3.660 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.660 * [taylor]: Taking taylor expansion of -1 in re
3.660 * [backup-simplify]: Simplify -1 into -1
3.660 * [taylor]: Taking taylor expansion of re in re
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.660 * [backup-simplify]: Simplify (/ -1 1) into -1
3.660 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.660 * [taylor]: Taking taylor expansion of -1 in re
3.660 * [backup-simplify]: Simplify -1 into -1
3.660 * [taylor]: Taking taylor expansion of im in re
3.660 * [backup-simplify]: Simplify im into im
3.660 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.660 * [taylor]: Taking taylor expansion of -1 in re
3.660 * [backup-simplify]: Simplify -1 into -1
3.660 * [taylor]: Taking taylor expansion of im in re
3.660 * [backup-simplify]: Simplify im into im
3.660 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.661 * [backup-simplify]: Simplify (* -1 -1) into 1
3.661 * [backup-simplify]: Simplify (+ 1 0) into 1
3.661 * [backup-simplify]: Simplify (sqrt 1) into 1
3.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.663 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.664 * [backup-simplify]: Simplify (+ 0 0) into 0
3.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.665 * [taylor]: Taking taylor expansion of re in re
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.665 * [backup-simplify]: Simplify (/ 1 1) into 1
3.665 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.665 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.665 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.665 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.665 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.665 * [taylor]: Taking taylor expansion of -1 in re
3.665 * [backup-simplify]: Simplify -1 into -1
3.665 * [taylor]: Taking taylor expansion of re in re
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.666 * [backup-simplify]: Simplify (/ -1 1) into -1
3.666 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.666 * [taylor]: Taking taylor expansion of -1 in re
3.666 * [backup-simplify]: Simplify -1 into -1
3.666 * [taylor]: Taking taylor expansion of re in re
3.666 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify 1 into 1
3.666 * [backup-simplify]: Simplify (/ -1 1) into -1
3.666 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.666 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.666 * [taylor]: Taking taylor expansion of -1 in re
3.666 * [backup-simplify]: Simplify -1 into -1
3.666 * [taylor]: Taking taylor expansion of im in re
3.666 * [backup-simplify]: Simplify im into im
3.666 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.666 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.666 * [taylor]: Taking taylor expansion of -1 in re
3.666 * [backup-simplify]: Simplify -1 into -1
3.666 * [taylor]: Taking taylor expansion of im in re
3.666 * [backup-simplify]: Simplify im into im
3.666 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.667 * [backup-simplify]: Simplify (* -1 -1) into 1
3.667 * [backup-simplify]: Simplify (+ 1 0) into 1
3.667 * [backup-simplify]: Simplify (sqrt 1) into 1
3.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.669 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.669 * [backup-simplify]: Simplify (+ 0 0) into 0
3.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.669 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.669 * [taylor]: Taking taylor expansion of re in re
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 1 into 1
3.670 * [backup-simplify]: Simplify (/ 1 1) into 1
3.670 * [backup-simplify]: Simplify (+ 1 1) into 2
3.670 * [taylor]: Taking taylor expansion of 2 in im
3.670 * [backup-simplify]: Simplify 2 into 2
3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.671 * [backup-simplify]: Simplify (+ 0 0) into 0
3.671 * [taylor]: Taking taylor expansion of 0 in im
3.671 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify 2 into 2
3.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.673 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.673 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.673 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.674 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.674 * [taylor]: Taking taylor expansion of 1/2 in im
3.674 * [backup-simplify]: Simplify 1/2 into 1/2
3.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.674 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.674 * [taylor]: Taking taylor expansion of im in im
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 1 into 1
3.675 * [backup-simplify]: Simplify (* 1 1) into 1
3.675 * [backup-simplify]: Simplify (/ 1 1) into 1
3.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.678 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.678 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.678 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.680 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [taylor]: Taking taylor expansion of 0 in im
3.680 * [backup-simplify]: Simplify 0 into 0
3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.682 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
3.682 * [backup-simplify]: Simplify (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot re im) re)))
3.682 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0
3.682 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im
3.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.682 * [taylor]: Taking taylor expansion of 2.0 in im
3.682 * [backup-simplify]: Simplify 2.0 into 2.0
3.682 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.683 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im
3.683 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.683 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.683 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.683 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.683 * [taylor]: Taking taylor expansion of (* re re) in im
3.683 * [taylor]: Taking taylor expansion of re in im
3.683 * [backup-simplify]: Simplify re into re
3.683 * [taylor]: Taking taylor expansion of re in im
3.683 * [backup-simplify]: Simplify re into re
3.683 * [taylor]: Taking taylor expansion of (* im im) in im
3.683 * [taylor]: Taking taylor expansion of im in im
3.683 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify 1 into 1
3.683 * [taylor]: Taking taylor expansion of im in im
3.683 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify 1 into 1
3.683 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.683 * [backup-simplify]: Simplify (* 0 0) into 0
3.684 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.684 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.684 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.684 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.684 * [backup-simplify]: Simplify (+ 0 0) into 0
3.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.684 * [taylor]: Taking taylor expansion of re in im
3.684 * [backup-simplify]: Simplify re into re
3.684 * [backup-simplify]: Simplify (- re) into (- re)
3.685 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.685 * [backup-simplify]: Simplify (- 0) into 0
3.685 * [backup-simplify]: Simplify (+ 0 0) into 0
3.685 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.686 * [backup-simplify]: Simplify (+ 0 1) into 1
3.686 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.687 * [backup-simplify]: Simplify (- 0) into 0
3.687 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.687 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
3.687 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.688 * [backup-simplify]: Simplify (+ 0 0) into 0
3.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.689 * [backup-simplify]: Simplify (- 0) into 0
3.689 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
3.689 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
3.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.689 * [taylor]: Taking taylor expansion of 2.0 in re
3.689 * [backup-simplify]: Simplify 2.0 into 2.0
3.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.690 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
3.690 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.690 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.690 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.690 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.690 * [taylor]: Taking taylor expansion of (* re re) in re
3.690 * [taylor]: Taking taylor expansion of re in re
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [backup-simplify]: Simplify 1 into 1
3.690 * [taylor]: Taking taylor expansion of re in re
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [backup-simplify]: Simplify 1 into 1
3.690 * [taylor]: Taking taylor expansion of (* im im) in re
3.690 * [taylor]: Taking taylor expansion of im in re
3.690 * [backup-simplify]: Simplify im into im
3.690 * [taylor]: Taking taylor expansion of im in re
3.690 * [backup-simplify]: Simplify im into im
3.690 * [backup-simplify]: Simplify (* 0 0) into 0
3.690 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.690 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.690 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.691 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.691 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.691 * [backup-simplify]: Simplify (+ 0 0) into 0
3.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.691 * [taylor]: Taking taylor expansion of re in re
3.691 * [backup-simplify]: Simplify 0 into 0
3.691 * [backup-simplify]: Simplify 1 into 1
3.692 * [backup-simplify]: Simplify (- 0) into 0
3.692 * [backup-simplify]: Simplify (+ im 0) into im
3.692 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.692 * [backup-simplify]: Simplify (- 1) into -1
3.692 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.692 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.692 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
3.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.692 * [taylor]: Taking taylor expansion of 2.0 in re
3.692 * [backup-simplify]: Simplify 2.0 into 2.0
3.693 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.693 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
3.693 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.693 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.693 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.693 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.693 * [taylor]: Taking taylor expansion of (* re re) in re
3.693 * [taylor]: Taking taylor expansion of re in re
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 1 into 1
3.693 * [taylor]: Taking taylor expansion of re in re
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 1 into 1
3.693 * [taylor]: Taking taylor expansion of (* im im) in re
3.693 * [taylor]: Taking taylor expansion of im in re
3.693 * [backup-simplify]: Simplify im into im
3.693 * [taylor]: Taking taylor expansion of im in re
3.693 * [backup-simplify]: Simplify im into im
3.694 * [backup-simplify]: Simplify (* 0 0) into 0
3.694 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.694 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.694 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.694 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.694 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.694 * [backup-simplify]: Simplify (+ 0 0) into 0
3.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.695 * [taylor]: Taking taylor expansion of re in re
3.695 * [backup-simplify]: Simplify 0 into 0
3.695 * [backup-simplify]: Simplify 1 into 1
3.695 * [backup-simplify]: Simplify (- 0) into 0
3.695 * [backup-simplify]: Simplify (+ im 0) into im
3.695 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.695 * [backup-simplify]: Simplify (- 1) into -1
3.695 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.696 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.696 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
3.696 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
3.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.696 * [taylor]: Taking taylor expansion of 2.0 in im
3.696 * [backup-simplify]: Simplify 2.0 into 2.0
3.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.697 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.697 * [taylor]: Taking taylor expansion of im in im
3.697 * [backup-simplify]: Simplify 0 into 0
3.697 * [backup-simplify]: Simplify 1 into 1
3.698 * [backup-simplify]: Simplify (sqrt 0) into 0
3.699 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.700 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.701 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.702 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
3.702 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
3.702 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
3.702 * [taylor]: Taking taylor expansion of 1/2 in im
3.702 * [backup-simplify]: Simplify 1/2 into 1/2
3.702 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
3.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.702 * [taylor]: Taking taylor expansion of 2.0 in im
3.702 * [backup-simplify]: Simplify 2.0 into 2.0
3.702 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.703 * [taylor]: Taking taylor expansion of im in im
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 1 into 1
3.703 * [backup-simplify]: Simplify (/ 1 1) into 1
3.703 * [backup-simplify]: Simplify (sqrt 0) into 0
3.704 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.706 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.708 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.710 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.710 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.713 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.715 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.715 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.718 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.718 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.720 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.721 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.723 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
3.724 * [backup-simplify]: Simplify (sqrt (* (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))
3.724 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in (re im) around 0
3.724 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
3.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.724 * [taylor]: Taking taylor expansion of 2.0 in im
3.724 * [backup-simplify]: Simplify 2.0 into 2.0
3.724 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.724 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
3.724 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.724 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.725 * [taylor]: Taking taylor expansion of re in im
3.725 * [backup-simplify]: Simplify re into re
3.725 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.725 * [taylor]: Taking taylor expansion of re in im
3.725 * [backup-simplify]: Simplify re into re
3.725 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.725 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.725 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.725 * [taylor]: Taking taylor expansion of im in im
3.725 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (/ 1 1) into 1
3.725 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.725 * [taylor]: Taking taylor expansion of im in im
3.725 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (/ 1 1) into 1
3.726 * [backup-simplify]: Simplify (* 1 1) into 1
3.726 * [backup-simplify]: Simplify (+ 0 1) into 1
3.726 * [backup-simplify]: Simplify (sqrt 1) into 1
3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.728 * [backup-simplify]: Simplify (+ 0 0) into 0
3.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.728 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.728 * [taylor]: Taking taylor expansion of re in im
3.728 * [backup-simplify]: Simplify re into re
3.728 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.728 * [backup-simplify]: Simplify (+ 1 0) into 1
3.729 * [backup-simplify]: Simplify (sqrt 0) into 0
3.729 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.729 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
3.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.729 * [taylor]: Taking taylor expansion of 2.0 in re
3.729 * [backup-simplify]: Simplify 2.0 into 2.0
3.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.730 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.730 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.730 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.730 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.730 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.730 * [taylor]: Taking taylor expansion of re in re
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify 1 into 1
3.731 * [backup-simplify]: Simplify (/ 1 1) into 1
3.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.731 * [taylor]: Taking taylor expansion of re in re
3.731 * [backup-simplify]: Simplify 0 into 0
3.731 * [backup-simplify]: Simplify 1 into 1
3.731 * [backup-simplify]: Simplify (/ 1 1) into 1
3.731 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.731 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.731 * [taylor]: Taking taylor expansion of im in re
3.731 * [backup-simplify]: Simplify im into im
3.731 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.731 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.731 * [taylor]: Taking taylor expansion of im in re
3.731 * [backup-simplify]: Simplify im into im
3.731 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.731 * [backup-simplify]: Simplify (* 1 1) into 1
3.732 * [backup-simplify]: Simplify (+ 1 0) into 1
3.732 * [backup-simplify]: Simplify (sqrt 1) into 1
3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.734 * [backup-simplify]: Simplify (+ 0 0) into 0
3.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.734 * [taylor]: Taking taylor expansion of re in re
3.734 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify 1 into 1
3.735 * [backup-simplify]: Simplify (/ 1 1) into 1
3.735 * [backup-simplify]: Simplify (- 1) into -1
3.736 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.737 * [backup-simplify]: Simplify (- 0) into 0
3.737 * [backup-simplify]: Simplify (+ 0 0) into 0
3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.740 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.740 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.742 * [backup-simplify]: Simplify (- 0) into 0
3.742 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.742 * [backup-simplify]: Simplify (sqrt 0) into 0
3.742 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.742 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
3.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.743 * [taylor]: Taking taylor expansion of 2.0 in re
3.743 * [backup-simplify]: Simplify 2.0 into 2.0
3.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.743 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.743 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.743 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.743 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.743 * [taylor]: Taking taylor expansion of re in re
3.743 * [backup-simplify]: Simplify 0 into 0
3.743 * [backup-simplify]: Simplify 1 into 1
3.744 * [backup-simplify]: Simplify (/ 1 1) into 1
3.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.744 * [taylor]: Taking taylor expansion of re in re
3.744 * [backup-simplify]: Simplify 0 into 0
3.744 * [backup-simplify]: Simplify 1 into 1
3.744 * [backup-simplify]: Simplify (/ 1 1) into 1
3.744 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.744 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.744 * [taylor]: Taking taylor expansion of im in re
3.744 * [backup-simplify]: Simplify im into im
3.744 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.744 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.744 * [taylor]: Taking taylor expansion of im in re
3.744 * [backup-simplify]: Simplify im into im
3.744 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.744 * [backup-simplify]: Simplify (* 1 1) into 1
3.745 * [backup-simplify]: Simplify (+ 1 0) into 1
3.745 * [backup-simplify]: Simplify (sqrt 1) into 1
3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.746 * [backup-simplify]: Simplify (+ 0 0) into 0
3.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.747 * [taylor]: Taking taylor expansion of re in re
3.747 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify 1 into 1
3.747 * [backup-simplify]: Simplify (/ 1 1) into 1
3.747 * [backup-simplify]: Simplify (- 1) into -1
3.748 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.748 * [backup-simplify]: Simplify (- 0) into 0
3.748 * [backup-simplify]: Simplify (+ 0 0) into 0
3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.750 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.752 * [backup-simplify]: Simplify (- 0) into 0
3.752 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.752 * [backup-simplify]: Simplify (sqrt 0) into 0
3.752 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.753 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.753 * [taylor]: Taking taylor expansion of 0 in im
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.753 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.753 * [taylor]: Taking taylor expansion of +nan.0 in im
3.753 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.754 * [taylor]: Taking taylor expansion of 2.0 in im
3.754 * [backup-simplify]: Simplify 2.0 into 2.0
3.754 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.754 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.754 * [taylor]: Taking taylor expansion of im in im
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (* 1 1) into 1
3.755 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.758 * [backup-simplify]: Simplify (- 0) into 0
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.760 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.760 * [backup-simplify]: Simplify (+ 0 0) into 0
3.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.762 * [backup-simplify]: Simplify (- 0) into 0
3.762 * [backup-simplify]: Simplify (+ 0 0) into 0
3.762 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.764 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
3.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
3.764 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.764 * [taylor]: Taking taylor expansion of +nan.0 in im
3.764 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.764 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.764 * [taylor]: Taking taylor expansion of 2.0 in im
3.764 * [backup-simplify]: Simplify 2.0 into 2.0
3.764 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.764 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.764 * [taylor]: Taking taylor expansion of im in im
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.765 * [backup-simplify]: Simplify (* 1 1) into 1
3.765 * [backup-simplify]: Simplify (* 1 1) into 1
3.766 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.773 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.773 * [backup-simplify]: Simplify (- 0) into 0
3.773 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.776 * [backup-simplify]: Simplify (- 0) into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.778 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
3.778 * [backup-simplify]: Simplify (+ 0 0) into 0
3.779 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify (- 0) into 0
3.780 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.780 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
3.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.782 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
3.782 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.782 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.782 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.782 * [taylor]: Taking taylor expansion of +nan.0 in im
3.782 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.782 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.782 * [taylor]: Taking taylor expansion of 2.0 in im
3.782 * [backup-simplify]: Simplify 2.0 into 2.0
3.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.783 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.783 * [taylor]: Taking taylor expansion of im in im
3.783 * [backup-simplify]: Simplify 0 into 0
3.783 * [backup-simplify]: Simplify 1 into 1
3.783 * [backup-simplify]: Simplify (* 1 1) into 1
3.783 * [backup-simplify]: Simplify (* 1 1) into 1
3.784 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.784 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.784 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.784 * [taylor]: Taking taylor expansion of +nan.0 in im
3.784 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.784 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.784 * [taylor]: Taking taylor expansion of 2.0 in im
3.784 * [backup-simplify]: Simplify 2.0 into 2.0
3.784 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.785 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.785 * [taylor]: Taking taylor expansion of im in im
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify 1 into 1
3.785 * [backup-simplify]: Simplify (* 1 1) into 1
3.786 * [backup-simplify]: Simplify (* 1 1) into 1
3.786 * [backup-simplify]: Simplify (* 1 1) into 1
3.787 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.799 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.820 * [backup-simplify]: Simplify (- 0) into 0
3.820 * [backup-simplify]: Simplify (+ 0 0) into 0
3.820 * [backup-simplify]: Simplify (- 0) into 0
3.820 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify (sqrt (* (* (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
3.821 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
3.821 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
3.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.821 * [taylor]: Taking taylor expansion of 2.0 in im
3.821 * [backup-simplify]: Simplify 2.0 into 2.0
3.821 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.821 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
3.821 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.822 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.822 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.822 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.822 * [taylor]: Taking taylor expansion of -1 in im
3.822 * [backup-simplify]: Simplify -1 into -1
3.822 * [taylor]: Taking taylor expansion of re in im
3.822 * [backup-simplify]: Simplify re into re
3.822 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.822 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.822 * [taylor]: Taking taylor expansion of -1 in im
3.822 * [backup-simplify]: Simplify -1 into -1
3.822 * [taylor]: Taking taylor expansion of re in im
3.822 * [backup-simplify]: Simplify re into re
3.822 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.822 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.822 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.822 * [taylor]: Taking taylor expansion of -1 in im
3.822 * [backup-simplify]: Simplify -1 into -1
3.822 * [taylor]: Taking taylor expansion of im in im
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.822 * [backup-simplify]: Simplify (/ -1 1) into -1
3.822 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.822 * [taylor]: Taking taylor expansion of -1 in im
3.822 * [backup-simplify]: Simplify -1 into -1
3.822 * [taylor]: Taking taylor expansion of im in im
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (/ -1 1) into -1
3.823 * [backup-simplify]: Simplify (* -1 -1) into 1
3.823 * [backup-simplify]: Simplify (+ 0 1) into 1
3.824 * [backup-simplify]: Simplify (sqrt 1) into 1
3.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.825 * [backup-simplify]: Simplify (+ 0 0) into 0
3.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.826 * [taylor]: Taking taylor expansion of re in im
3.826 * [backup-simplify]: Simplify re into re
3.826 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.826 * [backup-simplify]: Simplify (+ 1 0) into 1
3.826 * [backup-simplify]: Simplify (sqrt 0) into 0
3.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.827 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
3.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.827 * [taylor]: Taking taylor expansion of 2.0 in re
3.827 * [backup-simplify]: Simplify 2.0 into 2.0
3.828 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.828 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.828 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.828 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.828 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.828 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.828 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.828 * [taylor]: Taking taylor expansion of -1 in re
3.828 * [backup-simplify]: Simplify -1 into -1
3.828 * [taylor]: Taking taylor expansion of re in re
3.828 * [backup-simplify]: Simplify 0 into 0
3.828 * [backup-simplify]: Simplify 1 into 1
3.828 * [backup-simplify]: Simplify (/ -1 1) into -1
3.829 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.829 * [taylor]: Taking taylor expansion of -1 in re
3.829 * [backup-simplify]: Simplify -1 into -1
3.829 * [taylor]: Taking taylor expansion of re in re
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 1 into 1
3.829 * [backup-simplify]: Simplify (/ -1 1) into -1
3.829 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.829 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.829 * [taylor]: Taking taylor expansion of -1 in re
3.829 * [backup-simplify]: Simplify -1 into -1
3.829 * [taylor]: Taking taylor expansion of im in re
3.829 * [backup-simplify]: Simplify im into im
3.829 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.829 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.829 * [taylor]: Taking taylor expansion of -1 in re
3.829 * [backup-simplify]: Simplify -1 into -1
3.829 * [taylor]: Taking taylor expansion of im in re
3.829 * [backup-simplify]: Simplify im into im
3.829 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.829 * [backup-simplify]: Simplify (* -1 -1) into 1
3.830 * [backup-simplify]: Simplify (+ 1 0) into 1
3.830 * [backup-simplify]: Simplify (sqrt 1) into 1
3.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.832 * [taylor]: Taking taylor expansion of re in re
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (/ 1 1) into 1
3.833 * [backup-simplify]: Simplify (+ 1 1) into 2
3.833 * [backup-simplify]: Simplify (sqrt 0) into 0
3.834 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.834 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
3.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.834 * [taylor]: Taking taylor expansion of 2.0 in re
3.834 * [backup-simplify]: Simplify 2.0 into 2.0
3.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.834 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.834 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.834 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.834 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.834 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.834 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.834 * [taylor]: Taking taylor expansion of -1 in re
3.835 * [backup-simplify]: Simplify -1 into -1
3.835 * [taylor]: Taking taylor expansion of re in re
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (/ -1 1) into -1
3.835 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.835 * [taylor]: Taking taylor expansion of -1 in re
3.835 * [backup-simplify]: Simplify -1 into -1
3.835 * [taylor]: Taking taylor expansion of re in re
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (/ -1 1) into -1
3.835 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.835 * [taylor]: Taking taylor expansion of -1 in re
3.835 * [backup-simplify]: Simplify -1 into -1
3.835 * [taylor]: Taking taylor expansion of im in re
3.835 * [backup-simplify]: Simplify im into im
3.835 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.835 * [taylor]: Taking taylor expansion of -1 in re
3.835 * [backup-simplify]: Simplify -1 into -1
3.835 * [taylor]: Taking taylor expansion of im in re
3.835 * [backup-simplify]: Simplify im into im
3.835 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.836 * [backup-simplify]: Simplify (* -1 -1) into 1
3.836 * [backup-simplify]: Simplify (+ 1 0) into 1
3.836 * [backup-simplify]: Simplify (sqrt 1) into 1
3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.838 * [backup-simplify]: Simplify (+ 0 0) into 0
3.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.838 * [taylor]: Taking taylor expansion of re in re
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify 1 into 1
3.839 * [backup-simplify]: Simplify (/ 1 1) into 1
3.839 * [backup-simplify]: Simplify (+ 1 1) into 2
3.839 * [backup-simplify]: Simplify (sqrt 0) into 0
3.840 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.840 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.840 * [taylor]: Taking taylor expansion of 0 in im
3.840 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.842 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.842 * [taylor]: Taking taylor expansion of +nan.0 in im
3.842 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.842 * [taylor]: Taking taylor expansion of 2.0 in im
3.842 * [backup-simplify]: Simplify 2.0 into 2.0
3.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.843 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.844 * [backup-simplify]: Simplify (+ 0 0) into 0
3.847 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.851 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.852 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.852 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.852 * [taylor]: Taking taylor expansion of +nan.0 in im
3.852 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.852 * [taylor]: Taking taylor expansion of 2.0 in im
3.852 * [backup-simplify]: Simplify 2.0 into 2.0
3.852 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.854 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.855 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.857 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.857 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.864 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.864 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.865 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.866 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.868 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
3.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.871 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
3.871 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
3.871 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
3.871 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.871 * [taylor]: Taking taylor expansion of +nan.0 in im
3.871 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.871 * [taylor]: Taking taylor expansion of 2.0 in im
3.871 * [backup-simplify]: Simplify 2.0 into 2.0
3.872 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.872 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.872 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.872 * [taylor]: Taking taylor expansion of +nan.0 in im
3.872 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.872 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.872 * [taylor]: Taking taylor expansion of 2.0 in im
3.872 * [backup-simplify]: Simplify 2.0 into 2.0
3.873 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.873 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.874 * [taylor]: Taking taylor expansion of im in im
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 1 into 1
3.874 * [backup-simplify]: Simplify (* 1 1) into 1
3.875 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.877 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.878 * [backup-simplify]: Simplify (- 0) into 0
3.878 * [backup-simplify]: Simplify (+ 0 0) into 0
3.878 * [backup-simplify]: Simplify (- 0) into 0
3.878 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.881 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.882 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.883 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.883 * [backup-simplify]: Simplify (- 0) into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.886 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.887 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.887 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.887 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.887 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.889 * [backup-simplify]: Simplify (+ 0 0) into 0
3.890 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
3.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.893 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
3.894 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
3.894 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
3.894 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.894 * [taylor]: Taking taylor expansion of +nan.0 in im
3.894 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.894 * [taylor]: Taking taylor expansion of 2.0 in im
3.894 * [backup-simplify]: Simplify 2.0 into 2.0
3.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.895 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.895 * [taylor]: Taking taylor expansion of +nan.0 in im
3.895 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.895 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.895 * [taylor]: Taking taylor expansion of 2.0 in im
3.895 * [backup-simplify]: Simplify 2.0 into 2.0
3.895 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.896 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.896 * [taylor]: Taking taylor expansion of im in im
3.896 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify 1 into 1
3.897 * [backup-simplify]: Simplify (* 1 1) into 1
3.898 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.900 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.900 * [backup-simplify]: Simplify (- 0) into 0
3.901 * [backup-simplify]: Simplify (+ 0 0) into 0
3.901 * [backup-simplify]: Simplify (- 0) into 0
3.901 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.903 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.906 * [backup-simplify]: Simplify (- 0) into 0
3.908 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.910 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.910 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.913 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.913 * * * [progress]: simplifying candidates
3.913 * * * * [progress]: [ 1 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) 2.0))))>
3.914 * * * * [progress]: [ 2 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) 2.0))))>
3.914 * * * * [progress]: [ 3 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))) 2.0))))>
3.914 * * * * [progress]: [ 4 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) 2.0))))>
3.914 * * * * [progress]: [ 5 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) 2.0))))>
3.914 * * * * [progress]: [ 6 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))) 2.0))))>
3.914 * * * * [progress]: [ 7 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) 2.0))))>
3.914 * * * * [progress]: [ 8 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) 2.0))))>
3.914 * * * * [progress]: [ 9 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1))))) 2.0))))>
3.914 * * * * [progress]: [ 10 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (log1p (expm1 (- (hypot re im) re))))) 2.0))))>
3.914 * * * * [progress]: [ 11 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (expm1 (log1p (- (hypot re im) re))))) 2.0))))>
3.914 * * * * [progress]: [ 12 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))) 2.0))))>
3.914 * * * * [progress]: [ 13 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
3.914 * * * * [progress]: [ 14 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (fma 1 (hypot re im) (- re)))) 2.0))))>
3.914 * * * * [progress]: [ 15 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (log (/ (exp (hypot re im)) (exp re))))) 2.0))))>
3.914 * * * * [progress]: [ 16 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (pow (- (hypot re im) re) 1))) 2.0))))>
3.914 * * * * [progress]: [ 17 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (exp (log (- (hypot re im) re))))) 2.0))))>
3.914 * * * * [progress]: [ 18 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (log (exp (- (hypot re im) re))))) 2.0))))>
3.914 * * * * [progress]: [ 19 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))))) 2.0))))>
3.914 * * * * [progress]: [ 20 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))))) 2.0))))>
3.914 * * * * [progress]: [ 21 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.914 * * * * [progress]: [ 22 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))) 2.0))))>
3.915 * * * * [progress]: [ 23 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (hypot re im) (- re)))) 2.0))))>
3.915 * * * * [progress]: [ 24 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (* 1 (- (hypot re im) re)))) 2.0))))>
3.915 * * * * [progress]: [ 25 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re)))) 2.0))))>
3.915 * * * * [progress]: [ 26 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re))))) 2.0))))>
3.915 * * * * [progress]: [ 27 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (* 1 (- (hypot re im) re)))) 2.0))))>
3.915 * * * * [progress]: [ 28 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (hypot re im) (- re)))) 2.0))))>
3.915 * * * * [progress]: [ 29 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (posit16->real (real->posit16 (- (hypot re im) re))))) 2.0))))>
3.915 * * * * [progress]: [ 30 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 31 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 32 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 33 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 34 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 35 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 36 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 37 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 38 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 39 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (log1p (expm1 (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 40 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (expm1 (log1p (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 41 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 42 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 43 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma 1 (hypot re im) (- re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 44 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (log (/ (exp (hypot re im)) (exp re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.915 * * * * [progress]: [ 45 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (pow (- (hypot re im) re) 1)) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 46 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (exp (log (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 47 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (log (exp (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 48 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 49 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 50 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 51 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 52 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) (- re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 53 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* 1 (- (hypot re im) re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 54 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 55 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 56 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* 1 (- (hypot re im) re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 57 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) (- re))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 58 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (posit16->real (real->posit16 (- (hypot re im) re)))) (sqrt (- (hypot re im) re))) 2.0))))>
3.916 * * * * [progress]: [ 59 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (log1p (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.916 * * * * [progress]: [ 60 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (expm1 (log1p (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.916 * * * * [progress]: [ 61 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (- (hypot re im) re) (+ 1/2 1/2)) 2.0))))>
3.916 * * * * [progress]: [ 62 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (- (hypot re im) re) (+ 1/2 (/ 1 2))) 2.0))))>
3.916 * * * * [progress]: [ 63 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (- (hypot re im) re)) (+ 1 1)) 2.0))))>
3.916 * * * * [progress]: [ 64 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (- (hypot re im) re) (+ (/ 1 2) 1/2)) 2.0))))>
3.916 * * * * [progress]: [ 65 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (- (hypot re im) re) (+ (/ 1 2) (/ 1 2))) 2.0))))>
3.916 * * * * [progress]: [ 66 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (* (- (hypot re im) re) (- (hypot re im) re)) 1/2) 2.0))))>
3.916 * * * * [progress]: [ 67 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 1) 2.0))))>
3.916 * * * * [progress]: [ 68 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (* (- (hypot re im) re) (- (hypot re im) re)) (/ 1 2)) 2.0))))>
3.916 * * * * [progress]: [ 69 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (- (hypot re im) re)) 2) 2.0))))>
3.917 * * * * [progress]: [ 70 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (- (hypot re im) re)) (+ 1 1)) 2.0))))>
3.917 * * * * [progress]: [ 71 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 1) 2.0))))>
3.917 * * * * [progress]: [ 72 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (exp (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 73 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 74 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 75 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (cbrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 76 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 77 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (cbrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 78 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (sqrt (* (- (hypot re im) re) (- (hypot re im) re))) 2.0))))>
3.917 * * * * [progress]: [ 79 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 80 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
3.917 * * * * [progress]: [ 81 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))) 2.0))))>
3.917 * * * * [progress]: [ 82 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re)))) 2.0))))>
3.917 * * * * [progress]: [ 83 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))) 2.0))))>
3.917 * * * * [progress]: [ 84 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0))))>
3.917 * * * * [progress]: [ 85 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.917 * * * * [progress]: [ 86 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 87 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 88 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 89 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.917 * * * * [progress]: [ 90 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 91 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 92 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))))) 2.0))))>
3.918 * * * * [progress]: [ 93 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 94 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 95 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.918 * * * * [progress]: [ 96 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.918 * * * * [progress]: [ 97 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* 1 1) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 98 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.918 * * * * [progress]: [ 99 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.918 * * * * [progress]: [ 100 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.918 * * * * [progress]: [ 101 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
3.918 * * * * [progress]: [ 102 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (- (hypot re im) re) (* 2 1/2)) 2.0))))>
3.918 * * * * [progress]: [ 103 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (- (hypot re im) re)) (* 2 1)) 2.0))))>
3.918 * * * * [progress]: [ 104 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (- (hypot re im) re) (* 2 (/ 1 2))) 2.0))))>
3.918 * * * * [progress]: [ 105 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (cbrt (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 106 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (sqrt (cbrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 107 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 108 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt 1)) (sqrt (- (hypot re im) re))) 2.0))))>
3.918 * * * * [progress]: [ 109 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (sqrt (- (sqrt (hypot re im)) (sqrt re)))) 2.0))))>
3.918 * * * * [progress]: [ 110 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt 1)) (sqrt (- (hypot re im) re))) 2.0))))>
3.918 * * * * [progress]: [ 111 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re)))) 2.0))))>
3.918 * * * * [progress]: [ 112 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (- (hypot re im) re)) 1) (sqrt (- (hypot re im) re))) 2.0))))>
3.919 * * * * [progress]: [ 113 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 114 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 115 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 116 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt 1) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 117 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 118 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt 1) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 119 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 120 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0))))>
3.919 * * * * [progress]: [ 121 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) 2.0))))>
3.919 * * * * [progress]: [ 122 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (+ (hypot re im) re))) 2.0))))>
3.919 * * * * [progress]: [ 123 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) 2.0))))>
3.919 * * * * [progress]: [ 124 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) (sqrt (+ (hypot re im) re))) 2.0))))>
3.919 * * * * [progress]: [ 125 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (posit16->real (real->posit16 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) 2.0))))>
3.919 * * * * [progress]: [ 126 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))>
3.919 * * * * [progress]: [ 127 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.919 * * * * [progress]: [ 128 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.919 * * * * [progress]: [ 129 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0) 1/2)))>
3.919 * * * * [progress]: [ 130 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0)) 1)))>
3.919 * * * * [progress]: [ 131 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.919 * * * * [progress]: [ 132 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.919 * * * * [progress]: [ 133 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))) (cbrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0)))) (cbrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.919 * * * * [progress]: [ 134 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0)) (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))) (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.919 * * * * [progress]: [ 135 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (sqrt 2.0))))>
3.920 * * * * [progress]: [ 136 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) 2.0)) (sqrt (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))))>
3.920 * * * * [progress]: [ 137 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)) (sqrt (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re)))))))>
3.920 * * * * [progress]: [ 138 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) 2.0)) (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))))>
3.920 * * * * [progress]: [ 139 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)) (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))))))>
3.920 * * * * [progress]: [ 140 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) 2.0)) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))))))>
3.920 * * * * [progress]: [ 141 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)) (sqrt (sqrt (+ (hypot re im) re))))))>
3.920 * * * * [progress]: [ 142 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))) 2.0)) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))))))>
3.920 * * * * [progress]: [ 143 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) 2.0)) (sqrt (sqrt (+ (hypot re im) re))))))>
3.920 * * * * [progress]: [ 144 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0) (/ 1 2))))>
3.920 * * * * [progress]: [ 145 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0) (/ 1 2))))>
3.920 * * * * [progress]: [ 146 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0) (/ 1 2))))>
3.920 * * * * [progress]: [ 147 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))) (sqrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.920 * * * * [progress]: [ 148 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0)))))>
3.920 * * * * [progress]: [ 149 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))))>
3.920 * * * * [progress]: [ 150 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- im re))) 2.0))))>
3.920 * * * * [progress]: [ 151 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt 0)) 2.0))))>
3.920 * * * * [progress]: [ 152 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (* -2 re))) 2.0))))>
3.920 * * * * [progress]: [ 153 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- im re)) (sqrt (- (hypot re im) re))) 2.0))))>
3.920 * * * * [progress]: [ 154 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt 0) (sqrt (- (hypot re im) re))) 2.0))))>
3.920 * * * * [progress]: [ 155 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* -2 re)) (sqrt (- (hypot re im) re))) 2.0))))>
3.920 * * * * [progress]: [ 156 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (- im re) 2.0))))>
3.920 * * * * [progress]: [ 157 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 0 2.0))))>
3.920 * * * * [progress]: [ 158 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* -2 re) 2.0))))>
3.920 * * * * [progress]: [ 159 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))))>
3.921 * * * * [progress]: [ 160 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
3.921 * * * * [progress]: [ 161 / 161 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
3.922 * [simplify]: Simplifying (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) 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im) re))) (sqrt (- (hypot re im) re))), (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))), (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))), (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))), (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))), (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))), (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))), (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))), (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))), (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))), (real->posit16 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))), (expm1 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (log1p (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (log (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (exp (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (* (cbrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))) (cbrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0)))), (cbrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (* (* (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0)) (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))) (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))), (sqrt 2.0), (sqrt (* (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) 2.0)), (sqrt (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))), (sqrt (* (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)), (sqrt (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re)))), (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) 2.0)), (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))), (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)), (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))), (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) 2.0)), (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))), (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)), (sqrt (sqrt (+ (hypot re im) re))), (sqrt (* (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))) 2.0)), (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))), (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) 2.0)), (sqrt (sqrt (+ (hypot re im) re))), (/ 1 2), (/ 1 2), (/ 1 2), (sqrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (sqrt (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (real->posit16 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))), 0, (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.924 * * [simplify]: iteration 1: (191 enodes)
4.032 * * [simplify]: iteration 2: (679 enodes)
4.210 * * [simplify]: iteration 3: (1060 enodes)
4.711 * * [simplify]: Extracting #0: cost 62 inf + 0
4.712 * * [simplify]: Extracting #1: cost 308 inf + 4
4.716 * * [simplify]: Extracting #2: cost 557 inf + 2823
4.729 * * [simplify]: Extracting #3: cost 433 inf + 31728
4.767 * * [simplify]: Extracting #4: cost 141 inf + 98897
4.806 * * [simplify]: Extracting #5: cost 24 inf + 129023
4.835 * * [simplify]: Extracting #6: cost 0 inf + 135569
4.866 * [simplify]: Simplified to (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re), (+ re (- re)), (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re), (+ re (- re)), (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (exp (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)), (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re)), (- re), (* (- (hypot re im) re) (+ re (hypot re im))), (+ re (hypot re im)), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re), (+ re (- re)), (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re), (+ re (- re)), (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (- (hypot re im) re), (+ re (- re)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (exp (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)), (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re)), (- re), (* (- (hypot re im) re) (+ re (hypot re im))), (+ re (hypot re im)), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), 1, 1, 2, 1, 1, (* (- (hypot re im) re) (- (hypot re im) re)), (- (hypot re im) re), (* (- (hypot re im) re) (- (hypot re im) re)), 2, (log (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (* (- (hypot re im) re) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)), (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re)), (* (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))) (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))), (* (sqrt (+ re (hypot re im))) (sqrt (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re)))), (* (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))) (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))), (* (sqrt (+ re (hypot re im))) (sqrt (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re)))), (* (- (hypot re im) re) (+ re (hypot re im))), (+ re (hypot re im)), (* (sqrt (- (hypot re im) re)) (cbrt (sqrt (- (hypot re im) re)))), (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), 1, (- (hypot re im) re), 1, (- (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), 1, (- (hypot re im) re), 1, (- (hypot re im) re), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), 1, (- (hypot re im) re), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), 1, 2, 1, (* (* (sqrt (- (hypot re im) re)) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re)))), (* (fabs (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))), (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))), (sqrt (- (hypot re im) re)), (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))), (sqrt (- (hypot re im) re)), (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))), (sqrt (- (hypot re im) re)), (* (sqrt (- (hypot re im) re)) (cbrt (sqrt (- (hypot re im) re)))), (* (sqrt (- (hypot re im) re)) (sqrt (cbrt (- (hypot re im) re)))), (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))), (- (hypot re im) re), (* (sqrt (- (hypot re im) re)) (sqrt (- (sqrt (hypot re im)) (sqrt re)))), (- (hypot re im) re), (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))), (- (hypot re im) re), (* (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))) (sqrt (- (hypot re im) re))), (* (sqrt (* (- (hypot re im) re) (+ re (hypot re im)))) (sqrt (- (hypot re im) re))), (* (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))) (sqrt (- (hypot re im) re))), (* (sqrt (* (- (hypot re im) re) (+ re (hypot re im)))) (sqrt (- (hypot re im) re))), (real->posit16 (- (hypot re im) re)), (expm1 (sqrt (* (- (hypot re im) re) 2.0))), (log1p (sqrt (* (- (hypot re im) re) 2.0))), (log (sqrt (* (- (hypot re im) re) 2.0))), (exp (sqrt (* (- (hypot re im) re) 2.0))), (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))), (cbrt (sqrt (* (- (hypot re im) re) 2.0))), (* (sqrt (* (- (hypot re im) re) 2.0)) (* (- (hypot re im) re) 2.0)), (sqrt (- (hypot re im) re)), (sqrt 2.0), (sqrt (* 2.0 (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)))), (sqrt (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re))), (sqrt (* (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))) (* 2.0 (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))))), (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re))))), (sqrt (* (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))) (* 2.0 (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))))), (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re))))), (sqrt (* (* (- (hypot re im) re) (+ re (hypot re im))) 2.0)), (sqrt (+ re (hypot re im))), (sqrt (* (* 2.0 (sqrt (- (hypot re im) re))) (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))))), (sqrt (sqrt (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re)))), (sqrt (* (* 2.0 (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))) (sqrt (- (hypot re im) re)))), (sqrt (sqrt (+ re (hypot re im)))), (sqrt (* (* 2.0 (sqrt (- (hypot re im) re))) (sqrt (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re))))), (sqrt (sqrt (fma (hypot re im) (hypot re im) (* (+ re (hypot re im)) re)))), (sqrt (* (* 2.0 (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))) (sqrt (- (hypot re im) re)))), (sqrt (sqrt (+ re (hypot re im)))), 1/2, 1/2, 1/2, (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (real->posit16 (sqrt (* (- (hypot re im) re) 2.0))), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- (+ (* (* (sqrt 2.0) im) +nan.0) (* (* (* (sqrt 2.0) im) +nan.0) (- re im)))), 0, (fma (sqrt 2.0) (- +nan.0) (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))))
4.881 * * * [progress]: adding candidates to table
6.723 * * [progress]: iteration 3 / 4
6.723 * * * [progress]: picking best candidate
6.747 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
6.747 * * * [progress]: localizing error
6.790 * * * [progress]: generating rewritten candidates
6.790 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 2 1 1)
6.795 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1 1 1)
6.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1 1)
6.805 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1 1)
6.811 * * * [progress]: generating series expansions
6.811 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 2 1 1)
6.811 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
6.811 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.811 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.811 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.811 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.811 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.811 * [taylor]: Taking taylor expansion of (* re re) in im
6.811 * [taylor]: Taking taylor expansion of re in im
6.811 * [backup-simplify]: Simplify re into re
6.811 * [taylor]: Taking taylor expansion of re in im
6.811 * [backup-simplify]: Simplify re into re
6.811 * [taylor]: Taking taylor expansion of (* im im) in im
6.811 * [taylor]: Taking taylor expansion of im in im
6.811 * [backup-simplify]: Simplify 0 into 0
6.811 * [backup-simplify]: Simplify 1 into 1
6.811 * [taylor]: Taking taylor expansion of im in im
6.811 * [backup-simplify]: Simplify 0 into 0
6.811 * [backup-simplify]: Simplify 1 into 1
6.811 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.812 * [backup-simplify]: Simplify (* 0 0) into 0
6.812 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.812 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.812 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.813 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.813 * [backup-simplify]: Simplify (+ 0 0) into 0
6.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.813 * [taylor]: Taking taylor expansion of re in im
6.813 * [backup-simplify]: Simplify re into re
6.813 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.813 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.813 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.813 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.813 * [taylor]: Taking taylor expansion of (* re re) in re
6.813 * [taylor]: Taking taylor expansion of re in re
6.813 * [backup-simplify]: Simplify 0 into 0
6.813 * [backup-simplify]: Simplify 1 into 1
6.813 * [taylor]: Taking taylor expansion of re in re
6.813 * [backup-simplify]: Simplify 0 into 0
6.813 * [backup-simplify]: Simplify 1 into 1
6.813 * [taylor]: Taking taylor expansion of (* im im) in re
6.813 * [taylor]: Taking taylor expansion of im in re
6.813 * [backup-simplify]: Simplify im into im
6.813 * [taylor]: Taking taylor expansion of im in re
6.813 * [backup-simplify]: Simplify im into im
6.814 * [backup-simplify]: Simplify (* 0 0) into 0
6.814 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.814 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.814 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.814 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.814 * [backup-simplify]: Simplify (+ 0 0) into 0
6.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.815 * [taylor]: Taking taylor expansion of re in re
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 1 into 1
6.815 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.815 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.815 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.815 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.815 * [taylor]: Taking taylor expansion of (* re re) in re
6.815 * [taylor]: Taking taylor expansion of re in re
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 1 into 1
6.815 * [taylor]: Taking taylor expansion of re in re
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 1 into 1
6.815 * [taylor]: Taking taylor expansion of (* im im) in re
6.815 * [taylor]: Taking taylor expansion of im in re
6.815 * [backup-simplify]: Simplify im into im
6.815 * [taylor]: Taking taylor expansion of im in re
6.815 * [backup-simplify]: Simplify im into im
6.815 * [backup-simplify]: Simplify (* 0 0) into 0
6.815 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.815 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.815 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.816 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.816 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.816 * [backup-simplify]: Simplify (+ 0 0) into 0
6.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.816 * [taylor]: Taking taylor expansion of re in re
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [backup-simplify]: Simplify (- 0) into 0
6.817 * [backup-simplify]: Simplify (+ im 0) into im
6.817 * [taylor]: Taking taylor expansion of im in im
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify 1 into 1
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify (- 1) into -1
6.817 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.817 * [taylor]: Taking taylor expansion of -1 in im
6.817 * [backup-simplify]: Simplify -1 into -1
6.817 * [backup-simplify]: Simplify -1 into -1
6.818 * [backup-simplify]: Simplify 1 into 1
6.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.819 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.819 * [backup-simplify]: Simplify (+ 1 0) into 1
6.820 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.821 * [backup-simplify]: Simplify (- 0) into 0
6.821 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.821 * [taylor]: Taking taylor expansion of 1/2 in im
6.821 * [backup-simplify]: Simplify 1/2 into 1/2
6.821 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.821 * [taylor]: Taking taylor expansion of im in im
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 1 into 1
6.822 * [backup-simplify]: Simplify (/ 1 1) into 1
6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [backup-simplify]: Simplify 0 into 0
6.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.825 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.826 * [backup-simplify]: Simplify (- 0) into 0
6.827 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [taylor]: Taking taylor expansion of 0 in im
6.827 * [backup-simplify]: Simplify 0 into 0
6.827 * [backup-simplify]: Simplify 0 into 0
6.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.829 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
6.829 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.829 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.829 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.830 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.830 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.830 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.830 * [taylor]: Taking taylor expansion of re in im
6.830 * [backup-simplify]: Simplify re into re
6.830 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.830 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.830 * [taylor]: Taking taylor expansion of re in im
6.830 * [backup-simplify]: Simplify re into re
6.830 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.830 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.830 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.830 * [taylor]: Taking taylor expansion of im in im
6.830 * [backup-simplify]: Simplify 0 into 0
6.830 * [backup-simplify]: Simplify 1 into 1
6.830 * [backup-simplify]: Simplify (/ 1 1) into 1
6.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.831 * [taylor]: Taking taylor expansion of im in im
6.831 * [backup-simplify]: Simplify 0 into 0
6.831 * [backup-simplify]: Simplify 1 into 1
6.831 * [backup-simplify]: Simplify (/ 1 1) into 1
6.831 * [backup-simplify]: Simplify (* 1 1) into 1
6.832 * [backup-simplify]: Simplify (+ 0 1) into 1
6.832 * [backup-simplify]: Simplify (sqrt 1) into 1
6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.835 * [backup-simplify]: Simplify (+ 0 0) into 0
6.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.836 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.836 * [taylor]: Taking taylor expansion of re in im
6.836 * [backup-simplify]: Simplify re into re
6.836 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.836 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.836 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.836 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.836 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.836 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.836 * [taylor]: Taking taylor expansion of re in re
6.836 * [backup-simplify]: Simplify 0 into 0
6.836 * [backup-simplify]: Simplify 1 into 1
6.837 * [backup-simplify]: Simplify (/ 1 1) into 1
6.837 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.837 * [taylor]: Taking taylor expansion of re in re
6.837 * [backup-simplify]: Simplify 0 into 0
6.837 * [backup-simplify]: Simplify 1 into 1
6.837 * [backup-simplify]: Simplify (/ 1 1) into 1
6.837 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.838 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.838 * [taylor]: Taking taylor expansion of im in re
6.838 * [backup-simplify]: Simplify im into im
6.838 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.838 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.838 * [taylor]: Taking taylor expansion of im in re
6.838 * [backup-simplify]: Simplify im into im
6.838 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.838 * [backup-simplify]: Simplify (* 1 1) into 1
6.839 * [backup-simplify]: Simplify (+ 1 0) into 1
6.839 * [backup-simplify]: Simplify (sqrt 1) into 1
6.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.842 * [backup-simplify]: Simplify (+ 0 0) into 0
6.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.843 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.843 * [taylor]: Taking taylor expansion of re in re
6.843 * [backup-simplify]: Simplify 0 into 0
6.843 * [backup-simplify]: Simplify 1 into 1
6.843 * [backup-simplify]: Simplify (/ 1 1) into 1
6.843 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.843 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.843 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.843 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.843 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.843 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.843 * [taylor]: Taking taylor expansion of re in re
6.843 * [backup-simplify]: Simplify 0 into 0
6.843 * [backup-simplify]: Simplify 1 into 1
6.844 * [backup-simplify]: Simplify (/ 1 1) into 1
6.844 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.844 * [taylor]: Taking taylor expansion of re in re
6.844 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify 1 into 1
6.844 * [backup-simplify]: Simplify (/ 1 1) into 1
6.844 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.844 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.844 * [taylor]: Taking taylor expansion of im in re
6.844 * [backup-simplify]: Simplify im into im
6.845 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.845 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.845 * [taylor]: Taking taylor expansion of im in re
6.845 * [backup-simplify]: Simplify im into im
6.845 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.845 * [backup-simplify]: Simplify (* 1 1) into 1
6.846 * [backup-simplify]: Simplify (+ 1 0) into 1
6.846 * [backup-simplify]: Simplify (sqrt 1) into 1
6.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.849 * [backup-simplify]: Simplify (+ 0 0) into 0
6.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.849 * [taylor]: Taking taylor expansion of re in re
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify 1 into 1
6.850 * [backup-simplify]: Simplify (/ 1 1) into 1
6.850 * [backup-simplify]: Simplify (- 1) into -1
6.851 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.851 * [taylor]: Taking taylor expansion of 0 in im
6.851 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.852 * [backup-simplify]: Simplify (- 0) into 0
6.852 * [backup-simplify]: Simplify (+ 0 0) into 0
6.852 * [taylor]: Taking taylor expansion of 0 in im
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 0 into 0
6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.855 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.858 * [backup-simplify]: Simplify (- 0) into 0
6.858 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.858 * [taylor]: Taking taylor expansion of 1/2 in im
6.858 * [backup-simplify]: Simplify 1/2 into 1/2
6.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.858 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.858 * [taylor]: Taking taylor expansion of im in im
6.859 * [backup-simplify]: Simplify 0 into 0
6.859 * [backup-simplify]: Simplify 1 into 1
6.859 * [backup-simplify]: Simplify (* 1 1) into 1
6.859 * [backup-simplify]: Simplify (/ 1 1) into 1
6.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.861 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.865 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.865 * [backup-simplify]: Simplify (+ 0 0) into 0
6.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.867 * [backup-simplify]: Simplify (- 0) into 0
6.868 * [backup-simplify]: Simplify (+ 0 0) into 0
6.868 * [taylor]: Taking taylor expansion of 0 in im
6.868 * [backup-simplify]: Simplify 0 into 0
6.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.871 * [backup-simplify]: Simplify 0 into 0
6.871 * [backup-simplify]: Simplify 0 into 0
6.871 * [backup-simplify]: Simplify 0 into 0
6.871 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
6.871 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.871 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.871 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.871 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.871 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.871 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.871 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.871 * [taylor]: Taking taylor expansion of -1 in im
6.871 * [backup-simplify]: Simplify -1 into -1
6.871 * [taylor]: Taking taylor expansion of re in im
6.871 * [backup-simplify]: Simplify re into re
6.871 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.871 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.872 * [taylor]: Taking taylor expansion of -1 in im
6.872 * [backup-simplify]: Simplify -1 into -1
6.872 * [taylor]: Taking taylor expansion of re in im
6.872 * [backup-simplify]: Simplify re into re
6.872 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.872 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.872 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.872 * [taylor]: Taking taylor expansion of -1 in im
6.872 * [backup-simplify]: Simplify -1 into -1
6.872 * [taylor]: Taking taylor expansion of im in im
6.872 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify 1 into 1
6.873 * [backup-simplify]: Simplify (/ -1 1) into -1
6.873 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.873 * [taylor]: Taking taylor expansion of -1 in im
6.873 * [backup-simplify]: Simplify -1 into -1
6.873 * [taylor]: Taking taylor expansion of im in im
6.873 * [backup-simplify]: Simplify 0 into 0
6.873 * [backup-simplify]: Simplify 1 into 1
6.873 * [backup-simplify]: Simplify (/ -1 1) into -1
6.874 * [backup-simplify]: Simplify (* -1 -1) into 1
6.874 * [backup-simplify]: Simplify (+ 0 1) into 1
6.875 * [backup-simplify]: Simplify (sqrt 1) into 1
6.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.878 * [backup-simplify]: Simplify (+ 0 0) into 0
6.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.879 * [taylor]: Taking taylor expansion of re in im
6.879 * [backup-simplify]: Simplify re into re
6.879 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.879 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.879 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.879 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.879 * [taylor]: Taking taylor expansion of -1 in re
6.879 * [backup-simplify]: Simplify -1 into -1
6.879 * [taylor]: Taking taylor expansion of re in re
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 1 into 1
6.880 * [backup-simplify]: Simplify (/ -1 1) into -1
6.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.880 * [taylor]: Taking taylor expansion of -1 in re
6.880 * [backup-simplify]: Simplify -1 into -1
6.880 * [taylor]: Taking taylor expansion of re in re
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 1 into 1
6.880 * [backup-simplify]: Simplify (/ -1 1) into -1
6.881 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.881 * [taylor]: Taking taylor expansion of -1 in re
6.881 * [backup-simplify]: Simplify -1 into -1
6.881 * [taylor]: Taking taylor expansion of im in re
6.881 * [backup-simplify]: Simplify im into im
6.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.881 * [taylor]: Taking taylor expansion of -1 in re
6.881 * [backup-simplify]: Simplify -1 into -1
6.881 * [taylor]: Taking taylor expansion of im in re
6.881 * [backup-simplify]: Simplify im into im
6.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.881 * [backup-simplify]: Simplify (* -1 -1) into 1
6.882 * [backup-simplify]: Simplify (+ 1 0) into 1
6.882 * [backup-simplify]: Simplify (sqrt 1) into 1
6.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.885 * [backup-simplify]: Simplify (+ 0 0) into 0
6.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.886 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.886 * [taylor]: Taking taylor expansion of re in re
6.886 * [backup-simplify]: Simplify 0 into 0
6.886 * [backup-simplify]: Simplify 1 into 1
6.886 * [backup-simplify]: Simplify (/ 1 1) into 1
6.886 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.887 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.887 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.887 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.887 * [taylor]: Taking taylor expansion of -1 in re
6.887 * [backup-simplify]: Simplify -1 into -1
6.887 * [taylor]: Taking taylor expansion of re in re
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 1 into 1
6.887 * [backup-simplify]: Simplify (/ -1 1) into -1
6.887 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.887 * [taylor]: Taking taylor expansion of -1 in re
6.887 * [backup-simplify]: Simplify -1 into -1
6.887 * [taylor]: Taking taylor expansion of re in re
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 1 into 1
6.888 * [backup-simplify]: Simplify (/ -1 1) into -1
6.888 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.888 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.888 * [taylor]: Taking taylor expansion of -1 in re
6.888 * [backup-simplify]: Simplify -1 into -1
6.888 * [taylor]: Taking taylor expansion of im in re
6.888 * [backup-simplify]: Simplify im into im
6.888 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.888 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.888 * [taylor]: Taking taylor expansion of -1 in re
6.888 * [backup-simplify]: Simplify -1 into -1
6.888 * [taylor]: Taking taylor expansion of im in re
6.888 * [backup-simplify]: Simplify im into im
6.888 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.889 * [backup-simplify]: Simplify (* -1 -1) into 1
6.889 * [backup-simplify]: Simplify (+ 1 0) into 1
6.889 * [backup-simplify]: Simplify (sqrt 1) into 1
6.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.892 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.892 * [backup-simplify]: Simplify (+ 0 0) into 0
6.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.893 * [taylor]: Taking taylor expansion of re in re
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify 1 into 1
6.893 * [backup-simplify]: Simplify (/ 1 1) into 1
6.897 * [backup-simplify]: Simplify (+ 1 1) into 2
6.897 * [taylor]: Taking taylor expansion of 2 in im
6.897 * [backup-simplify]: Simplify 2 into 2
6.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.899 * [backup-simplify]: Simplify (+ 0 0) into 0
6.899 * [taylor]: Taking taylor expansion of 0 in im
6.899 * [backup-simplify]: Simplify 0 into 0
6.899 * [backup-simplify]: Simplify 2 into 2
6.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.902 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.902 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.905 * [taylor]: Taking taylor expansion of 1/2 in im
6.905 * [backup-simplify]: Simplify 1/2 into 1/2
6.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.905 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.905 * [taylor]: Taking taylor expansion of im in im
6.905 * [backup-simplify]: Simplify 0 into 0
6.905 * [backup-simplify]: Simplify 1 into 1
6.905 * [backup-simplify]: Simplify (* 1 1) into 1
6.906 * [backup-simplify]: Simplify (/ 1 1) into 1
6.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.908 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.911 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.911 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.911 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.912 * [backup-simplify]: Simplify (+ 0 0) into 0
6.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.914 * [backup-simplify]: Simplify (+ 0 0) into 0
6.914 * [taylor]: Taking taylor expansion of 0 in im
6.914 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.917 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1 1 1)
6.917 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
6.917 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.917 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.917 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.918 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.918 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.918 * [taylor]: Taking taylor expansion of (* re re) in im
6.918 * [taylor]: Taking taylor expansion of re in im
6.918 * [backup-simplify]: Simplify re into re
6.918 * [taylor]: Taking taylor expansion of re in im
6.918 * [backup-simplify]: Simplify re into re
6.918 * [taylor]: Taking taylor expansion of (* im im) in im
6.918 * [taylor]: Taking taylor expansion of im in im
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify 1 into 1
6.918 * [taylor]: Taking taylor expansion of im in im
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify 1 into 1
6.918 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.918 * [backup-simplify]: Simplify (* 0 0) into 0
6.919 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.919 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.919 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.919 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.920 * [backup-simplify]: Simplify (+ 0 0) into 0
6.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.920 * [taylor]: Taking taylor expansion of re in im
6.920 * [backup-simplify]: Simplify re into re
6.920 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.920 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.920 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.920 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.920 * [taylor]: Taking taylor expansion of (* re re) in re
6.920 * [taylor]: Taking taylor expansion of re in re
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 1 into 1
6.920 * [taylor]: Taking taylor expansion of re in re
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 1 into 1
6.920 * [taylor]: Taking taylor expansion of (* im im) in re
6.920 * [taylor]: Taking taylor expansion of im in re
6.920 * [backup-simplify]: Simplify im into im
6.920 * [taylor]: Taking taylor expansion of im in re
6.920 * [backup-simplify]: Simplify im into im
6.921 * [backup-simplify]: Simplify (* 0 0) into 0
6.921 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.921 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.922 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.922 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.923 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.923 * [backup-simplify]: Simplify (+ 0 0) into 0
6.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.923 * [taylor]: Taking taylor expansion of re in re
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 1 into 1
6.923 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.923 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.923 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.923 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.923 * [taylor]: Taking taylor expansion of (* re re) in re
6.923 * [taylor]: Taking taylor expansion of re in re
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 1 into 1
6.923 * [taylor]: Taking taylor expansion of re in re
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 1 into 1
6.923 * [taylor]: Taking taylor expansion of (* im im) in re
6.923 * [taylor]: Taking taylor expansion of im in re
6.924 * [backup-simplify]: Simplify im into im
6.924 * [taylor]: Taking taylor expansion of im in re
6.924 * [backup-simplify]: Simplify im into im
6.924 * [backup-simplify]: Simplify (* 0 0) into 0
6.924 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.924 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.924 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.925 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.925 * [backup-simplify]: Simplify (+ 0 0) into 0
6.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.925 * [taylor]: Taking taylor expansion of re in re
6.926 * [backup-simplify]: Simplify 0 into 0
6.926 * [backup-simplify]: Simplify 1 into 1
6.926 * [backup-simplify]: Simplify (- 0) into 0
6.926 * [backup-simplify]: Simplify (+ im 0) into im
6.926 * [taylor]: Taking taylor expansion of im in im
6.926 * [backup-simplify]: Simplify 0 into 0
6.926 * [backup-simplify]: Simplify 1 into 1
6.926 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify (- 1) into -1
6.927 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.927 * [taylor]: Taking taylor expansion of -1 in im
6.927 * [backup-simplify]: Simplify -1 into -1
6.927 * [backup-simplify]: Simplify -1 into -1
6.927 * [backup-simplify]: Simplify 1 into 1
6.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.928 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.929 * [backup-simplify]: Simplify (+ 1 0) into 1
6.930 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.930 * [backup-simplify]: Simplify (- 0) into 0
6.930 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.930 * [taylor]: Taking taylor expansion of 1/2 in im
6.930 * [backup-simplify]: Simplify 1/2 into 1/2
6.930 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.930 * [taylor]: Taking taylor expansion of im in im
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 1 into 1
6.931 * [backup-simplify]: Simplify (/ 1 1) into 1
6.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.933 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.935 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.936 * [backup-simplify]: Simplify (+ 0 0) into 0
6.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.936 * [backup-simplify]: Simplify (- 0) into 0
6.937 * [backup-simplify]: Simplify (+ 0 0) into 0
6.937 * [taylor]: Taking taylor expansion of 0 in im
6.937 * [backup-simplify]: Simplify 0 into 0
6.937 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.939 * [backup-simplify]: Simplify 0 into 0
6.939 * [backup-simplify]: Simplify 0 into 0
6.939 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.939 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
6.939 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.939 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.939 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.939 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.939 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.939 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.939 * [taylor]: Taking taylor expansion of re in im
6.940 * [backup-simplify]: Simplify re into re
6.940 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.940 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.940 * [taylor]: Taking taylor expansion of re in im
6.940 * [backup-simplify]: Simplify re into re
6.940 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.940 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.940 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.940 * [taylor]: Taking taylor expansion of im in im
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.940 * [backup-simplify]: Simplify (/ 1 1) into 1
6.940 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.940 * [taylor]: Taking taylor expansion of im in im
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.941 * [backup-simplify]: Simplify (/ 1 1) into 1
6.941 * [backup-simplify]: Simplify (* 1 1) into 1
6.942 * [backup-simplify]: Simplify (+ 0 1) into 1
6.942 * [backup-simplify]: Simplify (sqrt 1) into 1
6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.945 * [backup-simplify]: Simplify (+ 0 0) into 0
6.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.945 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.945 * [taylor]: Taking taylor expansion of re in im
6.945 * [backup-simplify]: Simplify re into re
6.945 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.945 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.945 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.946 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.946 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.946 * [taylor]: Taking taylor expansion of re in re
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 1 into 1
6.946 * [backup-simplify]: Simplify (/ 1 1) into 1
6.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.946 * [taylor]: Taking taylor expansion of re in re
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 1 into 1
6.947 * [backup-simplify]: Simplify (/ 1 1) into 1
6.947 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.947 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.947 * [taylor]: Taking taylor expansion of im in re
6.947 * [backup-simplify]: Simplify im into im
6.947 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.947 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.947 * [taylor]: Taking taylor expansion of im in re
6.947 * [backup-simplify]: Simplify im into im
6.947 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.947 * [backup-simplify]: Simplify (* 1 1) into 1
6.948 * [backup-simplify]: Simplify (+ 1 0) into 1
6.948 * [backup-simplify]: Simplify (sqrt 1) into 1
6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.950 * [backup-simplify]: Simplify (+ 0 0) into 0
6.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.951 * [taylor]: Taking taylor expansion of re in re
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify 1 into 1
6.951 * [backup-simplify]: Simplify (/ 1 1) into 1
6.951 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.951 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.951 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.951 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.951 * [taylor]: Taking taylor expansion of re in re
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify 1 into 1
6.952 * [backup-simplify]: Simplify (/ 1 1) into 1
6.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.952 * [taylor]: Taking taylor expansion of re in re
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 1 into 1
6.952 * [backup-simplify]: Simplify (/ 1 1) into 1
6.952 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.952 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.952 * [taylor]: Taking taylor expansion of im in re
6.952 * [backup-simplify]: Simplify im into im
6.952 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.952 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.952 * [taylor]: Taking taylor expansion of im in re
6.952 * [backup-simplify]: Simplify im into im
6.952 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.952 * [backup-simplify]: Simplify (* 1 1) into 1
6.953 * [backup-simplify]: Simplify (+ 1 0) into 1
6.953 * [backup-simplify]: Simplify (sqrt 1) into 1
6.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.954 * [backup-simplify]: Simplify (+ 0 0) into 0
6.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.955 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.955 * [taylor]: Taking taylor expansion of re in re
6.955 * [backup-simplify]: Simplify 0 into 0
6.955 * [backup-simplify]: Simplify 1 into 1
6.955 * [backup-simplify]: Simplify (/ 1 1) into 1
6.955 * [backup-simplify]: Simplify (- 1) into -1
6.956 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.956 * [taylor]: Taking taylor expansion of 0 in im
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.956 * [backup-simplify]: Simplify (- 0) into 0
6.957 * [backup-simplify]: Simplify (+ 0 0) into 0
6.957 * [taylor]: Taking taylor expansion of 0 in im
6.957 * [backup-simplify]: Simplify 0 into 0
6.957 * [backup-simplify]: Simplify 0 into 0
6.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.959 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.959 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.959 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.960 * [backup-simplify]: Simplify (- 0) into 0
6.960 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.960 * [taylor]: Taking taylor expansion of 1/2 in im
6.960 * [backup-simplify]: Simplify 1/2 into 1/2
6.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.960 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.960 * [taylor]: Taking taylor expansion of im in im
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify 1 into 1
6.961 * [backup-simplify]: Simplify (* 1 1) into 1
6.961 * [backup-simplify]: Simplify (/ 1 1) into 1
6.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.964 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.966 * [backup-simplify]: Simplify (- 0) into 0
6.966 * [backup-simplify]: Simplify (+ 0 0) into 0
6.966 * [taylor]: Taking taylor expansion of 0 in im
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
6.968 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.968 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.968 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.968 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.968 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.968 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.968 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.968 * [taylor]: Taking taylor expansion of -1 in im
6.968 * [backup-simplify]: Simplify -1 into -1
6.968 * [taylor]: Taking taylor expansion of re in im
6.968 * [backup-simplify]: Simplify re into re
6.968 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.968 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.968 * [taylor]: Taking taylor expansion of -1 in im
6.968 * [backup-simplify]: Simplify -1 into -1
6.968 * [taylor]: Taking taylor expansion of re in im
6.968 * [backup-simplify]: Simplify re into re
6.968 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.968 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.968 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.968 * [taylor]: Taking taylor expansion of -1 in im
6.968 * [backup-simplify]: Simplify -1 into -1
6.968 * [taylor]: Taking taylor expansion of im in im
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 1 into 1
6.969 * [backup-simplify]: Simplify (/ -1 1) into -1
6.969 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.969 * [taylor]: Taking taylor expansion of -1 in im
6.969 * [backup-simplify]: Simplify -1 into -1
6.969 * [taylor]: Taking taylor expansion of im in im
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify 1 into 1
6.969 * [backup-simplify]: Simplify (/ -1 1) into -1
6.969 * [backup-simplify]: Simplify (* -1 -1) into 1
6.970 * [backup-simplify]: Simplify (+ 0 1) into 1
6.970 * [backup-simplify]: Simplify (sqrt 1) into 1
6.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.972 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.973 * [backup-simplify]: Simplify (+ 0 0) into 0
6.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.974 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.974 * [taylor]: Taking taylor expansion of re in im
6.974 * [backup-simplify]: Simplify re into re
6.974 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.974 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.974 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.974 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.974 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.974 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.974 * [taylor]: Taking taylor expansion of -1 in re
6.974 * [backup-simplify]: Simplify -1 into -1
6.974 * [taylor]: Taking taylor expansion of re in re
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 1 into 1
6.975 * [backup-simplify]: Simplify (/ -1 1) into -1
6.975 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.975 * [taylor]: Taking taylor expansion of -1 in re
6.975 * [backup-simplify]: Simplify -1 into -1
6.975 * [taylor]: Taking taylor expansion of re in re
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 1 into 1
6.975 * [backup-simplify]: Simplify (/ -1 1) into -1
6.975 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.975 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.975 * [taylor]: Taking taylor expansion of -1 in re
6.975 * [backup-simplify]: Simplify -1 into -1
6.975 * [taylor]: Taking taylor expansion of im in re
6.975 * [backup-simplify]: Simplify im into im
6.975 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.975 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.975 * [taylor]: Taking taylor expansion of -1 in re
6.975 * [backup-simplify]: Simplify -1 into -1
6.975 * [taylor]: Taking taylor expansion of im in re
6.976 * [backup-simplify]: Simplify im into im
6.976 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.976 * [backup-simplify]: Simplify (* -1 -1) into 1
6.976 * [backup-simplify]: Simplify (+ 1 0) into 1
6.977 * [backup-simplify]: Simplify (sqrt 1) into 1
6.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.978 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.978 * [backup-simplify]: Simplify (+ 0 0) into 0
6.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.979 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.979 * [taylor]: Taking taylor expansion of re in re
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 1 into 1
6.979 * [backup-simplify]: Simplify (/ 1 1) into 1
6.979 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.979 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.979 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.979 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.979 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.979 * [taylor]: Taking taylor expansion of -1 in re
6.979 * [backup-simplify]: Simplify -1 into -1
6.979 * [taylor]: Taking taylor expansion of re in re
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 1 into 1
6.980 * [backup-simplify]: Simplify (/ -1 1) into -1
6.980 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.980 * [taylor]: Taking taylor expansion of -1 in re
6.980 * [backup-simplify]: Simplify -1 into -1
6.980 * [taylor]: Taking taylor expansion of re in re
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 1 into 1
6.980 * [backup-simplify]: Simplify (/ -1 1) into -1
6.980 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.980 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.980 * [taylor]: Taking taylor expansion of -1 in re
6.980 * [backup-simplify]: Simplify -1 into -1
6.980 * [taylor]: Taking taylor expansion of im in re
6.980 * [backup-simplify]: Simplify im into im
6.980 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.980 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.980 * [taylor]: Taking taylor expansion of -1 in re
6.980 * [backup-simplify]: Simplify -1 into -1
6.980 * [taylor]: Taking taylor expansion of im in re
6.980 * [backup-simplify]: Simplify im into im
6.980 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.981 * [backup-simplify]: Simplify (* -1 -1) into 1
6.981 * [backup-simplify]: Simplify (+ 1 0) into 1
6.981 * [backup-simplify]: Simplify (sqrt 1) into 1
6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.983 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.983 * [backup-simplify]: Simplify (+ 0 0) into 0
6.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.983 * [taylor]: Taking taylor expansion of re in re
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 1 into 1
6.984 * [backup-simplify]: Simplify (/ 1 1) into 1
6.984 * [backup-simplify]: Simplify (+ 1 1) into 2
6.984 * [taylor]: Taking taylor expansion of 2 in im
6.984 * [backup-simplify]: Simplify 2 into 2
6.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.985 * [backup-simplify]: Simplify (+ 0 0) into 0
6.985 * [taylor]: Taking taylor expansion of 0 in im
6.985 * [backup-simplify]: Simplify 0 into 0
6.985 * [backup-simplify]: Simplify 2 into 2
6.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.986 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.986 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.987 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.987 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.988 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.988 * [taylor]: Taking taylor expansion of 1/2 in im
6.988 * [backup-simplify]: Simplify 1/2 into 1/2
6.988 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.988 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.988 * [taylor]: Taking taylor expansion of im in im
6.988 * [backup-simplify]: Simplify 0 into 0
6.988 * [backup-simplify]: Simplify 1 into 1
6.988 * [backup-simplify]: Simplify (* 1 1) into 1
6.989 * [backup-simplify]: Simplify (/ 1 1) into 1
6.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.992 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.992 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.992 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.993 * [backup-simplify]: Simplify (+ 0 0) into 0
6.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.994 * [backup-simplify]: Simplify (+ 0 0) into 0
6.994 * [taylor]: Taking taylor expansion of 0 in im
6.994 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.995 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.996 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1 1)
6.996 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
6.996 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.996 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.996 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.996 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.996 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.996 * [taylor]: Taking taylor expansion of (* re re) in im
6.996 * [taylor]: Taking taylor expansion of re in im
6.996 * [backup-simplify]: Simplify re into re
6.996 * [taylor]: Taking taylor expansion of re in im
6.996 * [backup-simplify]: Simplify re into re
6.996 * [taylor]: Taking taylor expansion of (* im im) in im
6.996 * [taylor]: Taking taylor expansion of im in im
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 1 into 1
6.996 * [taylor]: Taking taylor expansion of im in im
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 1 into 1
6.996 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.996 * [backup-simplify]: Simplify (* 0 0) into 0
6.996 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.997 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.997 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.997 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.997 * [backup-simplify]: Simplify (+ 0 0) into 0
6.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.997 * [taylor]: Taking taylor expansion of re in im
6.997 * [backup-simplify]: Simplify re into re
6.997 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.997 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.997 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.997 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.998 * [taylor]: Taking taylor expansion of (* re re) in re
6.998 * [taylor]: Taking taylor expansion of re in re
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify 1 into 1
6.998 * [taylor]: Taking taylor expansion of re in re
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify 1 into 1
6.998 * [taylor]: Taking taylor expansion of (* im im) in re
6.998 * [taylor]: Taking taylor expansion of im in re
6.998 * [backup-simplify]: Simplify im into im
6.998 * [taylor]: Taking taylor expansion of im in re
6.998 * [backup-simplify]: Simplify im into im
6.998 * [backup-simplify]: Simplify (* 0 0) into 0
6.998 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.998 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.998 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.999 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.999 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.999 * [backup-simplify]: Simplify (+ 0 0) into 0
6.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.999 * [taylor]: Taking taylor expansion of re in re
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 1 into 1
6.999 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.999 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.999 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.999 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.999 * [taylor]: Taking taylor expansion of (* re re) in re
6.999 * [taylor]: Taking taylor expansion of re in re
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 1 into 1
6.999 * [taylor]: Taking taylor expansion of re in re
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 1 into 1
6.999 * [taylor]: Taking taylor expansion of (* im im) in re
7.000 * [taylor]: Taking taylor expansion of im in re
7.000 * [backup-simplify]: Simplify im into im
7.000 * [taylor]: Taking taylor expansion of im in re
7.000 * [backup-simplify]: Simplify im into im
7.000 * [backup-simplify]: Simplify (* 0 0) into 0
7.000 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.000 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.000 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.000 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.001 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.001 * [backup-simplify]: Simplify (+ 0 0) into 0
7.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.001 * [taylor]: Taking taylor expansion of re in re
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 1 into 1
7.001 * [backup-simplify]: Simplify (- 0) into 0
7.001 * [backup-simplify]: Simplify (+ im 0) into im
7.001 * [taylor]: Taking taylor expansion of im in im
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 1 into 1
7.001 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify (- 1) into -1
7.002 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.002 * [taylor]: Taking taylor expansion of -1 in im
7.002 * [backup-simplify]: Simplify -1 into -1
7.002 * [backup-simplify]: Simplify -1 into -1
7.002 * [backup-simplify]: Simplify 1 into 1
7.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.003 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.003 * [backup-simplify]: Simplify (+ 1 0) into 1
7.003 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.004 * [backup-simplify]: Simplify (- 0) into 0
7.004 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
7.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.004 * [taylor]: Taking taylor expansion of 1/2 in im
7.004 * [backup-simplify]: Simplify 1/2 into 1/2
7.004 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.004 * [taylor]: Taking taylor expansion of im in im
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 1 into 1
7.004 * [backup-simplify]: Simplify (/ 1 1) into 1
7.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.007 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.008 * [backup-simplify]: Simplify (+ 0 0) into 0
7.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.008 * [backup-simplify]: Simplify (- 0) into 0
7.009 * [backup-simplify]: Simplify (+ 0 0) into 0
7.009 * [taylor]: Taking taylor expansion of 0 in im
7.009 * [backup-simplify]: Simplify 0 into 0
7.009 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
7.011 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
7.011 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
7.011 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
7.011 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.011 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.011 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.011 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.011 * [taylor]: Taking taylor expansion of re in im
7.011 * [backup-simplify]: Simplify re into re
7.011 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.011 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.011 * [taylor]: Taking taylor expansion of re in im
7.012 * [backup-simplify]: Simplify re into re
7.012 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.012 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.012 * [taylor]: Taking taylor expansion of im in im
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.012 * [backup-simplify]: Simplify (/ 1 1) into 1
7.012 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.012 * [taylor]: Taking taylor expansion of im in im
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.013 * [backup-simplify]: Simplify (/ 1 1) into 1
7.013 * [backup-simplify]: Simplify (* 1 1) into 1
7.013 * [backup-simplify]: Simplify (+ 0 1) into 1
7.013 * [backup-simplify]: Simplify (sqrt 1) into 1
7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.015 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.018 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.018 * [taylor]: Taking taylor expansion of re in im
7.018 * [backup-simplify]: Simplify re into re
7.018 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.018 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.018 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.018 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.018 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.018 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.018 * [taylor]: Taking taylor expansion of re in re
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [backup-simplify]: Simplify (/ 1 1) into 1
7.019 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.019 * [taylor]: Taking taylor expansion of re in re
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [backup-simplify]: Simplify (/ 1 1) into 1
7.019 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.019 * [taylor]: Taking taylor expansion of im in re
7.019 * [backup-simplify]: Simplify im into im
7.019 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.019 * [taylor]: Taking taylor expansion of im in re
7.019 * [backup-simplify]: Simplify im into im
7.019 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.020 * [backup-simplify]: Simplify (* 1 1) into 1
7.020 * [backup-simplify]: Simplify (+ 1 0) into 1
7.020 * [backup-simplify]: Simplify (sqrt 1) into 1
7.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.022 * [backup-simplify]: Simplify (+ 0 0) into 0
7.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.022 * [taylor]: Taking taylor expansion of re in re
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 1 into 1
7.023 * [backup-simplify]: Simplify (/ 1 1) into 1
7.023 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.023 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.023 * [taylor]: Taking taylor expansion of re in re
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify 1 into 1
7.023 * [backup-simplify]: Simplify (/ 1 1) into 1
7.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.023 * [taylor]: Taking taylor expansion of re in re
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify 1 into 1
7.023 * [backup-simplify]: Simplify (/ 1 1) into 1
7.023 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.023 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.023 * [taylor]: Taking taylor expansion of im in re
7.023 * [backup-simplify]: Simplify im into im
7.024 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.024 * [taylor]: Taking taylor expansion of im in re
7.024 * [backup-simplify]: Simplify im into im
7.024 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.024 * [backup-simplify]: Simplify (* 1 1) into 1
7.024 * [backup-simplify]: Simplify (+ 1 0) into 1
7.024 * [backup-simplify]: Simplify (sqrt 1) into 1
7.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.026 * [backup-simplify]: Simplify (+ 0 0) into 0
7.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.027 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.027 * [taylor]: Taking taylor expansion of re in re
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify 1 into 1
7.027 * [backup-simplify]: Simplify (/ 1 1) into 1
7.027 * [backup-simplify]: Simplify (- 1) into -1
7.027 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.027 * [taylor]: Taking taylor expansion of 0 in im
7.027 * [backup-simplify]: Simplify 0 into 0
7.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.028 * [backup-simplify]: Simplify (- 0) into 0
7.029 * [backup-simplify]: Simplify (+ 0 0) into 0
7.029 * [taylor]: Taking taylor expansion of 0 in im
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.030 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.031 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.031 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.032 * [backup-simplify]: Simplify (- 0) into 0
7.033 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.033 * [taylor]: Taking taylor expansion of 1/2 in im
7.033 * [backup-simplify]: Simplify 1/2 into 1/2
7.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.033 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.033 * [taylor]: Taking taylor expansion of im in im
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify 1 into 1
7.033 * [backup-simplify]: Simplify (* 1 1) into 1
7.033 * [backup-simplify]: Simplify (/ 1 1) into 1
7.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.036 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.037 * [backup-simplify]: Simplify (+ 0 0) into 0
7.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.038 * [backup-simplify]: Simplify (- 0) into 0
7.039 * [backup-simplify]: Simplify (+ 0 0) into 0
7.039 * [taylor]: Taking taylor expansion of 0 in im
7.039 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
7.043 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
7.043 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
7.043 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.043 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.043 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.043 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.043 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.043 * [taylor]: Taking taylor expansion of -1 in im
7.043 * [backup-simplify]: Simplify -1 into -1
7.043 * [taylor]: Taking taylor expansion of re in im
7.043 * [backup-simplify]: Simplify re into re
7.043 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.043 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.043 * [taylor]: Taking taylor expansion of -1 in im
7.043 * [backup-simplify]: Simplify -1 into -1
7.043 * [taylor]: Taking taylor expansion of re in im
7.043 * [backup-simplify]: Simplify re into re
7.043 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.043 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.043 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.043 * [taylor]: Taking taylor expansion of -1 in im
7.043 * [backup-simplify]: Simplify -1 into -1
7.043 * [taylor]: Taking taylor expansion of im in im
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 1 into 1
7.044 * [backup-simplify]: Simplify (/ -1 1) into -1
7.044 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.044 * [taylor]: Taking taylor expansion of -1 in im
7.044 * [backup-simplify]: Simplify -1 into -1
7.044 * [taylor]: Taking taylor expansion of im in im
7.044 * [backup-simplify]: Simplify 0 into 0
7.044 * [backup-simplify]: Simplify 1 into 1
7.045 * [backup-simplify]: Simplify (/ -1 1) into -1
7.045 * [backup-simplify]: Simplify (* -1 -1) into 1
7.046 * [backup-simplify]: Simplify (+ 0 1) into 1
7.046 * [backup-simplify]: Simplify (sqrt 1) into 1
7.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.048 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.049 * [backup-simplify]: Simplify (+ 0 0) into 0
7.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.050 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.050 * [taylor]: Taking taylor expansion of re in im
7.050 * [backup-simplify]: Simplify re into re
7.050 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.050 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.050 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.050 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.050 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.050 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.050 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.050 * [taylor]: Taking taylor expansion of -1 in re
7.050 * [backup-simplify]: Simplify -1 into -1
7.050 * [taylor]: Taking taylor expansion of re in re
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 1 into 1
7.050 * [backup-simplify]: Simplify (/ -1 1) into -1
7.050 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.051 * [taylor]: Taking taylor expansion of -1 in re
7.051 * [backup-simplify]: Simplify -1 into -1
7.051 * [taylor]: Taking taylor expansion of re in re
7.051 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify 1 into 1
7.051 * [backup-simplify]: Simplify (/ -1 1) into -1
7.051 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.051 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.051 * [taylor]: Taking taylor expansion of -1 in re
7.051 * [backup-simplify]: Simplify -1 into -1
7.051 * [taylor]: Taking taylor expansion of im in re
7.051 * [backup-simplify]: Simplify im into im
7.051 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.051 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.051 * [taylor]: Taking taylor expansion of -1 in re
7.051 * [backup-simplify]: Simplify -1 into -1
7.051 * [taylor]: Taking taylor expansion of im in re
7.051 * [backup-simplify]: Simplify im into im
7.051 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.052 * [backup-simplify]: Simplify (* -1 -1) into 1
7.052 * [backup-simplify]: Simplify (+ 1 0) into 1
7.053 * [backup-simplify]: Simplify (sqrt 1) into 1
7.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.055 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.055 * [backup-simplify]: Simplify (+ 0 0) into 0
7.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.056 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.056 * [taylor]: Taking taylor expansion of re in re
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 1 into 1
7.056 * [backup-simplify]: Simplify (/ 1 1) into 1
7.056 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.057 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.057 * [taylor]: Taking taylor expansion of -1 in re
7.057 * [backup-simplify]: Simplify -1 into -1
7.057 * [taylor]: Taking taylor expansion of re in re
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.057 * [backup-simplify]: Simplify (/ -1 1) into -1
7.057 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.057 * [taylor]: Taking taylor expansion of -1 in re
7.057 * [backup-simplify]: Simplify -1 into -1
7.057 * [taylor]: Taking taylor expansion of re in re
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (/ -1 1) into -1
7.058 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.058 * [taylor]: Taking taylor expansion of -1 in re
7.058 * [backup-simplify]: Simplify -1 into -1
7.058 * [taylor]: Taking taylor expansion of im in re
7.058 * [backup-simplify]: Simplify im into im
7.058 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.058 * [taylor]: Taking taylor expansion of -1 in re
7.058 * [backup-simplify]: Simplify -1 into -1
7.058 * [taylor]: Taking taylor expansion of im in re
7.058 * [backup-simplify]: Simplify im into im
7.058 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.059 * [backup-simplify]: Simplify (* -1 -1) into 1
7.059 * [backup-simplify]: Simplify (+ 1 0) into 1
7.060 * [backup-simplify]: Simplify (sqrt 1) into 1
7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.062 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.063 * [taylor]: Taking taylor expansion of re in re
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.064 * [backup-simplify]: Simplify (/ 1 1) into 1
7.064 * [backup-simplify]: Simplify (+ 1 1) into 2
7.064 * [taylor]: Taking taylor expansion of 2 in im
7.064 * [backup-simplify]: Simplify 2 into 2
7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.066 * [backup-simplify]: Simplify (+ 0 0) into 0
7.066 * [taylor]: Taking taylor expansion of 0 in im
7.066 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify 2 into 2
7.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.069 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.069 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.069 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.071 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.072 * [taylor]: Taking taylor expansion of 1/2 in im
7.072 * [backup-simplify]: Simplify 1/2 into 1/2
7.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.072 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.072 * [taylor]: Taking taylor expansion of im in im
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 1 into 1
7.072 * [backup-simplify]: Simplify (* 1 1) into 1
7.073 * [backup-simplify]: Simplify (/ 1 1) into 1
7.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.078 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.079 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.079 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.079 * [backup-simplify]: Simplify (+ 0 0) into 0
7.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.081 * [backup-simplify]: Simplify (+ 0 0) into 0
7.081 * [taylor]: Taking taylor expansion of 0 in im
7.081 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
7.084 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1 1)
7.085 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
7.085 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
7.085 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
7.085 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.085 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.085 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.085 * [taylor]: Taking taylor expansion of (* re re) in im
7.085 * [taylor]: Taking taylor expansion of re in im
7.085 * [backup-simplify]: Simplify re into re
7.085 * [taylor]: Taking taylor expansion of re in im
7.085 * [backup-simplify]: Simplify re into re
7.085 * [taylor]: Taking taylor expansion of (* im im) in im
7.085 * [taylor]: Taking taylor expansion of im in im
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [taylor]: Taking taylor expansion of im in im
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.086 * [backup-simplify]: Simplify (* 0 0) into 0
7.086 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.086 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.086 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.087 * [backup-simplify]: Simplify (+ 0 0) into 0
7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.088 * [taylor]: Taking taylor expansion of re in im
7.088 * [backup-simplify]: Simplify re into re
7.088 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
7.088 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.088 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.088 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.088 * [taylor]: Taking taylor expansion of (* re re) in re
7.088 * [taylor]: Taking taylor expansion of re in re
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [taylor]: Taking taylor expansion of re in re
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [taylor]: Taking taylor expansion of (* im im) in re
7.088 * [taylor]: Taking taylor expansion of im in re
7.088 * [backup-simplify]: Simplify im into im
7.088 * [taylor]: Taking taylor expansion of im in re
7.088 * [backup-simplify]: Simplify im into im
7.088 * [backup-simplify]: Simplify (* 0 0) into 0
7.089 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.089 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.089 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.089 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.090 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.090 * [taylor]: Taking taylor expansion of re in re
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
7.090 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.090 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.090 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.090 * [taylor]: Taking taylor expansion of (* re re) in re
7.090 * [taylor]: Taking taylor expansion of re in re
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [taylor]: Taking taylor expansion of re in re
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [taylor]: Taking taylor expansion of (* im im) in re
7.090 * [taylor]: Taking taylor expansion of im in re
7.090 * [backup-simplify]: Simplify im into im
7.090 * [taylor]: Taking taylor expansion of im in re
7.090 * [backup-simplify]: Simplify im into im
7.090 * [backup-simplify]: Simplify (* 0 0) into 0
7.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.091 * [taylor]: Taking taylor expansion of re in re
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 1 into 1
7.092 * [backup-simplify]: Simplify (- 0) into 0
7.092 * [backup-simplify]: Simplify (+ im 0) into im
7.092 * [taylor]: Taking taylor expansion of im in im
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify (- 1) into -1
7.092 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.092 * [taylor]: Taking taylor expansion of -1 in im
7.092 * [backup-simplify]: Simplify -1 into -1
7.092 * [backup-simplify]: Simplify -1 into -1
7.092 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.093 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.093 * [backup-simplify]: Simplify (+ 1 0) into 1
7.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.094 * [backup-simplify]: Simplify (- 0) into 0
7.094 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
7.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.094 * [taylor]: Taking taylor expansion of 1/2 in im
7.094 * [backup-simplify]: Simplify 1/2 into 1/2
7.094 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.094 * [taylor]: Taking taylor expansion of im in im
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.095 * [backup-simplify]: Simplify (/ 1 1) into 1
7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.097 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.097 * [backup-simplify]: Simplify (+ 0 0) into 0
7.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.098 * [backup-simplify]: Simplify (- 0) into 0
7.098 * [backup-simplify]: Simplify (+ 0 0) into 0
7.098 * [taylor]: Taking taylor expansion of 0 in im
7.098 * [backup-simplify]: Simplify 0 into 0
7.098 * [backup-simplify]: Simplify 0 into 0
7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.099 * [backup-simplify]: Simplify 0 into 0
7.099 * [backup-simplify]: Simplify 0 into 0
7.099 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
7.099 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
7.099 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
7.099 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
7.099 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.100 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.100 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.100 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.100 * [taylor]: Taking taylor expansion of re in im
7.100 * [backup-simplify]: Simplify re into re
7.100 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.100 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.100 * [taylor]: Taking taylor expansion of re in im
7.100 * [backup-simplify]: Simplify re into re
7.100 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.100 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.100 * [taylor]: Taking taylor expansion of im in im
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 1 into 1
7.100 * [backup-simplify]: Simplify (/ 1 1) into 1
7.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.100 * [taylor]: Taking taylor expansion of im in im
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 1 into 1
7.100 * [backup-simplify]: Simplify (/ 1 1) into 1
7.101 * [backup-simplify]: Simplify (* 1 1) into 1
7.101 * [backup-simplify]: Simplify (+ 0 1) into 1
7.101 * [backup-simplify]: Simplify (sqrt 1) into 1
7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.103 * [taylor]: Taking taylor expansion of re in im
7.103 * [backup-simplify]: Simplify re into re
7.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.104 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.104 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.104 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.104 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.104 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.104 * [taylor]: Taking taylor expansion of re in re
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 1 into 1
7.104 * [backup-simplify]: Simplify (/ 1 1) into 1
7.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.104 * [taylor]: Taking taylor expansion of re in re
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 1 into 1
7.104 * [backup-simplify]: Simplify (/ 1 1) into 1
7.104 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.104 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.104 * [taylor]: Taking taylor expansion of im in re
7.104 * [backup-simplify]: Simplify im into im
7.104 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.104 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.104 * [taylor]: Taking taylor expansion of im in re
7.104 * [backup-simplify]: Simplify im into im
7.104 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.105 * [backup-simplify]: Simplify (* 1 1) into 1
7.105 * [backup-simplify]: Simplify (+ 1 0) into 1
7.105 * [backup-simplify]: Simplify (sqrt 1) into 1
7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.107 * [backup-simplify]: Simplify (+ 0 0) into 0
7.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.107 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.107 * [taylor]: Taking taylor expansion of re in re
7.107 * [backup-simplify]: Simplify 0 into 0
7.107 * [backup-simplify]: Simplify 1 into 1
7.107 * [backup-simplify]: Simplify (/ 1 1) into 1
7.108 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.108 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.108 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.108 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.108 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.108 * [taylor]: Taking taylor expansion of re in re
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 1 into 1
7.108 * [backup-simplify]: Simplify (/ 1 1) into 1
7.108 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.108 * [taylor]: Taking taylor expansion of re in re
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 1 into 1
7.108 * [backup-simplify]: Simplify (/ 1 1) into 1
7.108 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.108 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.108 * [taylor]: Taking taylor expansion of im in re
7.108 * [backup-simplify]: Simplify im into im
7.108 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.108 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.108 * [taylor]: Taking taylor expansion of im in re
7.108 * [backup-simplify]: Simplify im into im
7.108 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.109 * [backup-simplify]: Simplify (* 1 1) into 1
7.109 * [backup-simplify]: Simplify (+ 1 0) into 1
7.109 * [backup-simplify]: Simplify (sqrt 1) into 1
7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.111 * [backup-simplify]: Simplify (+ 0 0) into 0
7.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.111 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.111 * [taylor]: Taking taylor expansion of re in re
7.111 * [backup-simplify]: Simplify 0 into 0
7.111 * [backup-simplify]: Simplify 1 into 1
7.111 * [backup-simplify]: Simplify (/ 1 1) into 1
7.112 * [backup-simplify]: Simplify (- 1) into -1
7.112 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.112 * [taylor]: Taking taylor expansion of 0 in im
7.112 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.113 * [backup-simplify]: Simplify (- 0) into 0
7.113 * [backup-simplify]: Simplify (+ 0 0) into 0
7.113 * [taylor]: Taking taylor expansion of 0 in im
7.113 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify 0 into 0
7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.115 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.115 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.116 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.117 * [backup-simplify]: Simplify (- 0) into 0
7.117 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.117 * [taylor]: Taking taylor expansion of 1/2 in im
7.117 * [backup-simplify]: Simplify 1/2 into 1/2
7.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.117 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.117 * [taylor]: Taking taylor expansion of im in im
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [backup-simplify]: Simplify 1 into 1
7.117 * [backup-simplify]: Simplify (* 1 1) into 1
7.117 * [backup-simplify]: Simplify (/ 1 1) into 1
7.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.121 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.121 * [backup-simplify]: Simplify (+ 0 0) into 0
7.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify (- 0) into 0
7.122 * [backup-simplify]: Simplify (+ 0 0) into 0
7.122 * [taylor]: Taking taylor expansion of 0 in im
7.122 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
7.125 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
7.125 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
7.125 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.125 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.125 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.125 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.125 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.125 * [taylor]: Taking taylor expansion of -1 in im
7.125 * [backup-simplify]: Simplify -1 into -1
7.125 * [taylor]: Taking taylor expansion of re in im
7.125 * [backup-simplify]: Simplify re into re
7.125 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.125 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.125 * [taylor]: Taking taylor expansion of -1 in im
7.125 * [backup-simplify]: Simplify -1 into -1
7.125 * [taylor]: Taking taylor expansion of re in im
7.125 * [backup-simplify]: Simplify re into re
7.125 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.125 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.125 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.125 * [taylor]: Taking taylor expansion of -1 in im
7.125 * [backup-simplify]: Simplify -1 into -1
7.125 * [taylor]: Taking taylor expansion of im in im
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.125 * [backup-simplify]: Simplify (/ -1 1) into -1
7.125 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.125 * [taylor]: Taking taylor expansion of -1 in im
7.125 * [backup-simplify]: Simplify -1 into -1
7.125 * [taylor]: Taking taylor expansion of im in im
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.126 * [backup-simplify]: Simplify (/ -1 1) into -1
7.126 * [backup-simplify]: Simplify (* -1 -1) into 1
7.126 * [backup-simplify]: Simplify (+ 0 1) into 1
7.127 * [backup-simplify]: Simplify (sqrt 1) into 1
7.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.128 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.128 * [backup-simplify]: Simplify (+ 0 0) into 0
7.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.129 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.129 * [taylor]: Taking taylor expansion of re in im
7.129 * [backup-simplify]: Simplify re into re
7.129 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.129 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.129 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.129 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.129 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.129 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.129 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.129 * [taylor]: Taking taylor expansion of -1 in re
7.129 * [backup-simplify]: Simplify -1 into -1
7.129 * [taylor]: Taking taylor expansion of re in re
7.129 * [backup-simplify]: Simplify 0 into 0
7.129 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (/ -1 1) into -1
7.130 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.130 * [taylor]: Taking taylor expansion of -1 in re
7.130 * [backup-simplify]: Simplify -1 into -1
7.130 * [taylor]: Taking taylor expansion of re in re
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (/ -1 1) into -1
7.130 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.130 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.130 * [taylor]: Taking taylor expansion of -1 in re
7.130 * [backup-simplify]: Simplify -1 into -1
7.130 * [taylor]: Taking taylor expansion of im in re
7.130 * [backup-simplify]: Simplify im into im
7.130 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.130 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.130 * [taylor]: Taking taylor expansion of -1 in re
7.130 * [backup-simplify]: Simplify -1 into -1
7.130 * [taylor]: Taking taylor expansion of im in re
7.130 * [backup-simplify]: Simplify im into im
7.130 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.131 * [backup-simplify]: Simplify (* -1 -1) into 1
7.131 * [backup-simplify]: Simplify (+ 1 0) into 1
7.131 * [backup-simplify]: Simplify (sqrt 1) into 1
7.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.134 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.135 * [backup-simplify]: Simplify (+ 0 0) into 0
7.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.136 * [taylor]: Taking taylor expansion of re in re
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 1 into 1
7.136 * [backup-simplify]: Simplify (/ 1 1) into 1
7.136 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.136 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.136 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.136 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.136 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.136 * [taylor]: Taking taylor expansion of -1 in re
7.136 * [backup-simplify]: Simplify -1 into -1
7.136 * [taylor]: Taking taylor expansion of re in re
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 1 into 1
7.136 * [backup-simplify]: Simplify (/ -1 1) into -1
7.136 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.136 * [taylor]: Taking taylor expansion of -1 in re
7.136 * [backup-simplify]: Simplify -1 into -1
7.136 * [taylor]: Taking taylor expansion of re in re
7.137 * [backup-simplify]: Simplify 0 into 0
7.137 * [backup-simplify]: Simplify 1 into 1
7.137 * [backup-simplify]: Simplify (/ -1 1) into -1
7.137 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.137 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.137 * [taylor]: Taking taylor expansion of -1 in re
7.137 * [backup-simplify]: Simplify -1 into -1
7.137 * [taylor]: Taking taylor expansion of im in re
7.137 * [backup-simplify]: Simplify im into im
7.137 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.137 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.137 * [taylor]: Taking taylor expansion of -1 in re
7.137 * [backup-simplify]: Simplify -1 into -1
7.137 * [taylor]: Taking taylor expansion of im in re
7.137 * [backup-simplify]: Simplify im into im
7.137 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.137 * [backup-simplify]: Simplify (* -1 -1) into 1
7.138 * [backup-simplify]: Simplify (+ 1 0) into 1
7.138 * [backup-simplify]: Simplify (sqrt 1) into 1
7.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.139 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.140 * [backup-simplify]: Simplify (+ 0 0) into 0
7.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.140 * [taylor]: Taking taylor expansion of re in re
7.140 * [backup-simplify]: Simplify 0 into 0
7.140 * [backup-simplify]: Simplify 1 into 1
7.140 * [backup-simplify]: Simplify (/ 1 1) into 1
7.141 * [backup-simplify]: Simplify (+ 1 1) into 2
7.141 * [taylor]: Taking taylor expansion of 2 in im
7.141 * [backup-simplify]: Simplify 2 into 2
7.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.141 * [backup-simplify]: Simplify (+ 0 0) into 0
7.141 * [taylor]: Taking taylor expansion of 0 in im
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify 2 into 2
7.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.143 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.143 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.145 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.145 * [taylor]: Taking taylor expansion of 1/2 in im
7.145 * [backup-simplify]: Simplify 1/2 into 1/2
7.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.145 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.145 * [taylor]: Taking taylor expansion of im in im
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [backup-simplify]: Simplify (* 1 1) into 1
7.146 * [backup-simplify]: Simplify (/ 1 1) into 1
7.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.149 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.149 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.150 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.150 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.150 * [backup-simplify]: Simplify (+ 0 0) into 0
7.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.151 * [taylor]: Taking taylor expansion of 0 in im
7.151 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
7.153 * * * [progress]: simplifying candidates
7.153 * * * * [progress]: [ 1 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))))) 2.0))))>
7.153 * * * * [progress]: [ 2 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))))) 2.0))))>
7.154 * * * * [progress]: [ 3 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))))) 2.0))))>
7.154 * * * * [progress]: [ 4 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))))) 2.0))))>
7.154 * * * * [progress]: [ 5 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))))) 2.0))))>
7.154 * * * * [progress]: [ 6 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))))) 2.0))))>
7.154 * * * * [progress]: [ 7 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))))) 2.0))))>
7.154 * * * * [progress]: [ 8 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))))) 2.0))))>
7.154 * * * * [progress]: [ 9 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1))))))) 2.0))))>
7.154 * * * * [progress]: [ 10 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (log1p (expm1 (- (hypot re im) re))))))) 2.0))))>
7.154 * * * * [progress]: [ 11 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (expm1 (log1p (- (hypot re im) re))))))) 2.0))))>
7.154 * * * * [progress]: [ 12 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))))) 2.0))))>
7.154 * * * * [progress]: [ 13 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))>
7.154 * * * * [progress]: [ 14 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (fma 1 (hypot re im) (- re)))))) 2.0))))>
7.154 * * * * [progress]: [ 15 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (log (/ (exp (hypot re im)) (exp re))))))) 2.0))))>
7.154 * * * * [progress]: [ 16 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (pow (- (hypot re im) re) 1))))) 2.0))))>
7.154 * * * * [progress]: [ 17 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (exp (log (- (hypot re im) re))))))) 2.0))))>
7.154 * * * * [progress]: [ 18 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (log (exp (- (hypot re im) re))))))) 2.0))))>
7.154 * * * * [progress]: [ 19 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))))))) 2.0))))>
7.154 * * * * [progress]: [ 20 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))))))) 2.0))))>
7.154 * * * * [progress]: [ 21 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))))) 2.0))))>
7.155 * * * * [progress]: [ 22 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))) 2.0))))>
7.155 * * * * [progress]: [ 23 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) (- re)))))) 2.0))))>
7.155 * * * * [progress]: [ 24 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* 1 (- (hypot re im) re)))))) 2.0))))>
7.155 * * * * [progress]: [ 25 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re)))))) 2.0))))>
7.155 * * * * [progress]: [ 26 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re))))))) 2.0))))>
7.155 * * * * [progress]: [ 27 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* 1 (- (hypot re im) re)))))) 2.0))))>
7.155 * * * * [progress]: [ 28 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) (- re)))))) 2.0))))>
7.155 * * * * [progress]: [ 29 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (posit16->real (real->posit16 (- (hypot re im) re))))))) 2.0))))>
7.155 * * * * [progress]: [ 30 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 31 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 32 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 33 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 34 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 35 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 36 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 37 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 38 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.155 * * * * [progress]: [ 39 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (log1p (expm1 (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 40 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (expm1 (log1p (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 41 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 42 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 43 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (fma 1 (hypot re im) (- re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 44 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (log (/ (exp (hypot re im)) (exp re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 45 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (pow (- (hypot re im) re) 1))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 46 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (exp (log (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 47 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (log (exp (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 48 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 49 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 50 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 51 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 52 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (hypot re im) (- re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 53 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (* 1 (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 54 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 55 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 56 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (* 1 (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 57 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (+ (hypot re im) (- re)))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 58 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (posit16->real (real->posit16 (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 59 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.156 * * * * [progress]: [ 60 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 61 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 62 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 63 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 64 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 65 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 66 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 67 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 68 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (log1p (expm1 (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 69 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (expm1 (log1p (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 70 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 71 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 72 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (fma 1 (hypot re im) (- re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 73 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (log (/ (exp (hypot re im)) (exp re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 74 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (pow (- (hypot re im) re) 1)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 75 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (exp (log (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 76 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (log (exp (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 77 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 78 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.157 * * * * [progress]: [ 79 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 80 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 81 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) (- re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 82 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* 1 (- (hypot re im) re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 83 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 84 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 85 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* 1 (- (hypot re im) re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 86 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) (- re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 87 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (posit16->real (real->posit16 (- (hypot re im) re)))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 88 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 89 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 90 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 91 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 92 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 93 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 94 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 95 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 96 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 97 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (log1p (expm1 (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 98 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (expm1 (log1p (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.158 * * * * [progress]: [ 99 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 100 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 101 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma 1 (hypot re im) (- re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 102 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (log (/ (exp (hypot re im)) (exp re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 103 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (pow (- (hypot re im) re) 1))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 104 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (exp (log (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 105 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (log (exp (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 106 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 107 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 108 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 109 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 110 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) (- re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 111 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (* 1 (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 112 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 113 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 114 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (* 1 (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 115 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) (- re)))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 116 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (posit16->real (real->posit16 (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 117 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- im re))))) 2.0))))>
7.159 * * * * [progress]: [ 118 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 0)))) 2.0))))>
7.159 * * * * [progress]: [ 119 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* -2 re))))) 2.0))))>
7.159 * * * * [progress]: [ 120 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- im re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.159 * * * * [progress]: [ 121 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 0)) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.160 * * * * [progress]: [ 122 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (* -2 re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.160 * * * * [progress]: [ 123 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- im re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.160 * * * * [progress]: [ 124 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.160 * * * * [progress]: [ 125 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* -2 re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.160 * * * * [progress]: [ 126 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (- im re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.160 * * * * [progress]: [ 127 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt 0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.160 * * * * [progress]: [ 128 / 128 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (* -2 re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))) 2.0))))>
7.161 * [simplify]: Simplifying (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma 1 (hypot re im) (- (* re 1))), (fma (- re) 1 (* re 1)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (/ (exp (hypot re im)) (exp re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (pow (hypot re im) 3) (pow re 3)), (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))), (- re), (- (* (hypot re im) (hypot re im)) (* re re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma 1 (hypot re im) (- (* re 1))), (fma (- re) 1 (* re 1)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (/ (exp (hypot re im)) (exp re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (pow (hypot re im) 3) (pow re 3)), (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))), (- re), (- (* (hypot re im) (hypot re im)) (* re re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma 1 (hypot re im) (- (* re 1))), (fma (- re) 1 (* re 1)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (/ (exp (hypot re im)) (exp re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (pow (hypot re im) 3) (pow re 3)), (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))), (- re), (- (* (hypot re im) (hypot re im)) (* re re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))), (fma (- re) 1 (* re 1)), (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))), (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))), (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))), (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))), (fma 1 (hypot re im) (- (* re 1))), (fma (- re) 1 (* re 1)), (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (/ (exp (hypot re im)) (exp re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (pow (hypot re im) 3) (pow re 3)), (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))), (- re), (- (* (hypot re im) (hypot re im)) (* re re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re)
7.162 * * [simplify]: iteration 1: (62 enodes)
7.180 * * [simplify]: iteration 2: (222 enodes)
7.253 * * [simplify]: iteration 3: (298 enodes)
7.325 * * [simplify]: iteration 4: (530 enodes)
7.489 * * [simplify]: iteration 5: (1210 enodes)
8.195 * * [simplify]: Extracting #0: cost 20 inf + 0
8.197 * * [simplify]: Extracting #1: cost 215 inf + 1
8.202 * * [simplify]: Extracting #2: cost 638 inf + 3510
8.222 * * [simplify]: Extracting #3: cost 510 inf + 40967
8.254 * * [simplify]: Extracting #4: cost 243 inf + 121177
8.292 * * [simplify]: Extracting #5: cost 22 inf + 236087
8.342 * * [simplify]: Extracting #6: cost 1 inf + 250049
8.387 * * [simplify]: Extracting #7: cost 0 inf + 251068
8.447 * [simplify]: Simplified to (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (exp (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)), (fma re (+ (hypot re im) re) (* (hypot re im) (hypot re im))), (- re), (* (+ (hypot re im) re) (- (hypot re im) re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (exp (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)), (fma re (+ (hypot re im) re) (* (hypot re im) (hypot re im))), (- re), (* (+ (hypot re im) re) (- (hypot re im) re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (exp (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)), (fma re (+ (hypot re im) re) (* (hypot re im) (hypot re im))), (- re), (* (+ (hypot re im) re) (- (hypot re im) re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (- (hypot re im) re), 0, (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (- re), (- re), (- re), (exp (- (hypot re im) re)), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* (* re re) re)), (fma re (+ (hypot re im) re) (* (hypot re im) (hypot re im))), (- re), (* (+ (hypot re im) re) (- (hypot re im) re)), (+ (hypot re im) re), (+ (sqrt (hypot re im)) (sqrt re)), (- (sqrt (hypot re im)) (sqrt re)), (- (hypot re im) re), (- re), (real->posit16 (- (hypot re im) re)), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re), (- im re), 0, (* -2 re)
8.470 * * * [progress]: adding candidates to table
10.185 * * [progress]: iteration 4 / 4
10.185 * * * [progress]: picking best candidate
10.193 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))>
10.194 * * * [progress]: localizing error
10.217 * * * [progress]: generating rewritten candidates
10.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
10.218 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
10.222 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
10.223 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1)
10.224 * * * [progress]: generating series expansions
10.224 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
10.225 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
10.225 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
10.225 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
10.225 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
10.225 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
10.225 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
10.225 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.225 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.225 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.225 * [taylor]: Taking taylor expansion of (* re re) in im
10.225 * [taylor]: Taking taylor expansion of re in im
10.225 * [backup-simplify]: Simplify re into re
10.225 * [taylor]: Taking taylor expansion of re in im
10.225 * [backup-simplify]: Simplify re into re
10.225 * [taylor]: Taking taylor expansion of (* im im) in im
10.225 * [taylor]: Taking taylor expansion of im in im
10.225 * [backup-simplify]: Simplify 0 into 0
10.225 * [backup-simplify]: Simplify 1 into 1
10.225 * [taylor]: Taking taylor expansion of im in im
10.225 * [backup-simplify]: Simplify 0 into 0
10.225 * [backup-simplify]: Simplify 1 into 1
10.225 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.226 * [backup-simplify]: Simplify (* 0 0) into 0
10.226 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.226 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.226 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.226 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.226 * [backup-simplify]: Simplify (+ 0 0) into 0
10.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.227 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
10.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
10.227 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
10.227 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.227 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.227 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.227 * [taylor]: Taking taylor expansion of (* re re) in im
10.227 * [taylor]: Taking taylor expansion of re in im
10.227 * [backup-simplify]: Simplify re into re
10.227 * [taylor]: Taking taylor expansion of re in im
10.227 * [backup-simplify]: Simplify re into re
10.227 * [taylor]: Taking taylor expansion of (* im im) in im
10.227 * [taylor]: Taking taylor expansion of im in im
10.227 * [backup-simplify]: Simplify 0 into 0
10.227 * [backup-simplify]: Simplify 1 into 1
10.227 * [taylor]: Taking taylor expansion of im in im
10.227 * [backup-simplify]: Simplify 0 into 0
10.227 * [backup-simplify]: Simplify 1 into 1
10.227 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.227 * [backup-simplify]: Simplify (* 0 0) into 0
10.227 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.227 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.227 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.228 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.228 * [backup-simplify]: Simplify (+ 0 0) into 0
10.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.228 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
10.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
10.228 * [taylor]: Taking taylor expansion of (- re) in im
10.228 * [taylor]: Taking taylor expansion of re in im
10.228 * [backup-simplify]: Simplify re into re
10.228 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
10.228 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
10.228 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
10.228 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.228 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.228 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.228 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.228 * [taylor]: Taking taylor expansion of (* re re) in re
10.229 * [taylor]: Taking taylor expansion of re in re
10.229 * [backup-simplify]: Simplify 0 into 0
10.229 * [backup-simplify]: Simplify 1 into 1
10.229 * [taylor]: Taking taylor expansion of re in re
10.229 * [backup-simplify]: Simplify 0 into 0
10.229 * [backup-simplify]: Simplify 1 into 1
10.229 * [taylor]: Taking taylor expansion of (* im im) in re
10.229 * [taylor]: Taking taylor expansion of im in re
10.229 * [backup-simplify]: Simplify im into im
10.229 * [taylor]: Taking taylor expansion of im in re
10.229 * [backup-simplify]: Simplify im into im
10.229 * [backup-simplify]: Simplify (* 0 0) into 0
10.229 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.229 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.229 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.230 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.230 * [backup-simplify]: Simplify (+ 0 0) into 0
10.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.230 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.230 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.230 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.230 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.230 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.230 * [taylor]: Taking taylor expansion of (* re re) in re
10.230 * [taylor]: Taking taylor expansion of re in re
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 1 into 1
10.230 * [taylor]: Taking taylor expansion of re in re
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 1 into 1
10.230 * [taylor]: Taking taylor expansion of (* im im) in re
10.230 * [taylor]: Taking taylor expansion of im in re
10.230 * [backup-simplify]: Simplify im into im
10.230 * [taylor]: Taking taylor expansion of im in re
10.230 * [backup-simplify]: Simplify im into im
10.231 * [backup-simplify]: Simplify (* 0 0) into 0
10.231 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.231 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.231 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.231 * [backup-simplify]: Simplify (+ 0 0) into 0
10.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.232 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.232 * [taylor]: Taking taylor expansion of (- re) in re
10.232 * [taylor]: Taking taylor expansion of re in re
10.232 * [backup-simplify]: Simplify 0 into 0
10.232 * [backup-simplify]: Simplify 1 into 1
10.232 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
10.232 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
10.232 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
10.232 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.232 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.232 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.232 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.232 * [taylor]: Taking taylor expansion of (* re re) in re
10.232 * [taylor]: Taking taylor expansion of re in re
10.232 * [backup-simplify]: Simplify 0 into 0
10.232 * [backup-simplify]: Simplify 1 into 1
10.232 * [taylor]: Taking taylor expansion of re in re
10.232 * [backup-simplify]: Simplify 0 into 0
10.232 * [backup-simplify]: Simplify 1 into 1
10.232 * [taylor]: Taking taylor expansion of (* im im) in re
10.232 * [taylor]: Taking taylor expansion of im in re
10.232 * [backup-simplify]: Simplify im into im
10.232 * [taylor]: Taking taylor expansion of im in re
10.232 * [backup-simplify]: Simplify im into im
10.232 * [backup-simplify]: Simplify (* 0 0) into 0
10.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.233 * [backup-simplify]: Simplify (+ 0 0) into 0
10.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.234 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.234 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.234 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.234 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.234 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.234 * [taylor]: Taking taylor expansion of (* re re) in re
10.234 * [taylor]: Taking taylor expansion of re in re
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 1 into 1
10.234 * [taylor]: Taking taylor expansion of re in re
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 1 into 1
10.234 * [taylor]: Taking taylor expansion of (* im im) in re
10.234 * [taylor]: Taking taylor expansion of im in re
10.234 * [backup-simplify]: Simplify im into im
10.234 * [taylor]: Taking taylor expansion of im in re
10.234 * [backup-simplify]: Simplify im into im
10.235 * [backup-simplify]: Simplify (* 0 0) into 0
10.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.235 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.235 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.235 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.236 * [backup-simplify]: Simplify (+ 0 0) into 0
10.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.236 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.236 * [taylor]: Taking taylor expansion of (- re) in re
10.236 * [taylor]: Taking taylor expansion of re in re
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify 1 into 1
10.237 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
10.237 * [backup-simplify]: Simplify (- 0) into 0
10.237 * [backup-simplify]: Simplify (+ im 0) into im
10.237 * [taylor]: Taking taylor expansion of im in im
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 1 into 1
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
10.238 * [backup-simplify]: Simplify (- 1) into -1
10.238 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.238 * [taylor]: Taking taylor expansion of -1 in im
10.238 * [backup-simplify]: Simplify -1 into -1
10.238 * [backup-simplify]: Simplify -1 into -1
10.238 * [backup-simplify]: Simplify 1 into 1
10.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.240 * [backup-simplify]: Simplify (+ 1 0) into 1
10.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.242 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
10.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.243 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.244 * [backup-simplify]: Simplify (+ 1 0) into 1
10.244 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.245 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
10.246 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
10.246 * [backup-simplify]: Simplify (- 0) into 0
10.247 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
10.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.247 * [taylor]: Taking taylor expansion of 1/2 in im
10.247 * [backup-simplify]: Simplify 1/2 into 1/2
10.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.247 * [taylor]: Taking taylor expansion of im in im
10.247 * [backup-simplify]: Simplify 0 into 0
10.247 * [backup-simplify]: Simplify 1 into 1
10.247 * [backup-simplify]: Simplify (/ 1 1) into 1
10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.249 * [backup-simplify]: Simplify 0 into 0
10.249 * [backup-simplify]: Simplify 0 into 0
10.249 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.251 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.252 * [backup-simplify]: Simplify (+ 0 0) into 0
10.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
10.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.254 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.255 * [backup-simplify]: Simplify (+ 0 0) into 0
10.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
10.255 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
10.256 * [backup-simplify]: Simplify (- 0) into 0
10.256 * [backup-simplify]: Simplify (+ 0 0) into 0
10.256 * [taylor]: Taking taylor expansion of 0 in im
10.256 * [backup-simplify]: Simplify 0 into 0
10.256 * [backup-simplify]: Simplify 0 into 0
10.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
10.259 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
10.259 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
10.259 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
10.259 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
10.259 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
10.259 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
10.259 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.259 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.259 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.259 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.259 * [taylor]: Taking taylor expansion of re in im
10.259 * [backup-simplify]: Simplify re into re
10.259 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.259 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.259 * [taylor]: Taking taylor expansion of re in im
10.259 * [backup-simplify]: Simplify re into re
10.259 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.259 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.259 * [taylor]: Taking taylor expansion of im in im
10.259 * [backup-simplify]: Simplify 0 into 0
10.260 * [backup-simplify]: Simplify 1 into 1
10.260 * [backup-simplify]: Simplify (/ 1 1) into 1
10.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.260 * [taylor]: Taking taylor expansion of im in im
10.260 * [backup-simplify]: Simplify 0 into 0
10.260 * [backup-simplify]: Simplify 1 into 1
10.260 * [backup-simplify]: Simplify (/ 1 1) into 1
10.261 * [backup-simplify]: Simplify (* 1 1) into 1
10.261 * [backup-simplify]: Simplify (+ 0 1) into 1
10.262 * [backup-simplify]: Simplify (sqrt 1) into 1
10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.264 * [backup-simplify]: Simplify (+ 0 0) into 0
10.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.265 * [backup-simplify]: Simplify (sqrt 0) into 0
10.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.267 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
10.267 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.267 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.267 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.267 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.267 * [taylor]: Taking taylor expansion of re in im
10.267 * [backup-simplify]: Simplify re into re
10.267 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.267 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.267 * [taylor]: Taking taylor expansion of re in im
10.267 * [backup-simplify]: Simplify re into re
10.267 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.267 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.267 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.267 * [taylor]: Taking taylor expansion of im in im
10.267 * [backup-simplify]: Simplify 0 into 0
10.267 * [backup-simplify]: Simplify 1 into 1
10.268 * [backup-simplify]: Simplify (/ 1 1) into 1
10.268 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.268 * [taylor]: Taking taylor expansion of im in im
10.268 * [backup-simplify]: Simplify 0 into 0
10.268 * [backup-simplify]: Simplify 1 into 1
10.268 * [backup-simplify]: Simplify (/ 1 1) into 1
10.269 * [backup-simplify]: Simplify (* 1 1) into 1
10.269 * [backup-simplify]: Simplify (+ 0 1) into 1
10.270 * [backup-simplify]: Simplify (sqrt 1) into 1
10.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.272 * [backup-simplify]: Simplify (+ 0 0) into 0
10.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.273 * [backup-simplify]: Simplify (sqrt 0) into 0
10.274 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.275 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
10.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.275 * [taylor]: Taking taylor expansion of re in im
10.275 * [backup-simplify]: Simplify re into re
10.275 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.275 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
10.275 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
10.275 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
10.275 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.275 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.275 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.275 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.275 * [taylor]: Taking taylor expansion of re in re
10.275 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify 1 into 1
10.276 * [backup-simplify]: Simplify (/ 1 1) into 1
10.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.276 * [taylor]: Taking taylor expansion of re in re
10.276 * [backup-simplify]: Simplify 0 into 0
10.276 * [backup-simplify]: Simplify 1 into 1
10.276 * [backup-simplify]: Simplify (/ 1 1) into 1
10.276 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.276 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.276 * [taylor]: Taking taylor expansion of im in re
10.276 * [backup-simplify]: Simplify im into im
10.276 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.276 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.276 * [taylor]: Taking taylor expansion of im in re
10.276 * [backup-simplify]: Simplify im into im
10.277 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.277 * [backup-simplify]: Simplify (* 1 1) into 1
10.277 * [backup-simplify]: Simplify (+ 1 0) into 1
10.278 * [backup-simplify]: Simplify (sqrt 1) into 1
10.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.281 * [backup-simplify]: Simplify (+ 0 0) into 0
10.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.282 * [backup-simplify]: Simplify (sqrt 0) into 0
10.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.283 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.283 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.283 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.283 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.283 * [taylor]: Taking taylor expansion of re in re
10.283 * [backup-simplify]: Simplify 0 into 0
10.283 * [backup-simplify]: Simplify 1 into 1
10.284 * [backup-simplify]: Simplify (/ 1 1) into 1
10.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.284 * [taylor]: Taking taylor expansion of re in re
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify 1 into 1
10.284 * [backup-simplify]: Simplify (/ 1 1) into 1
10.284 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.284 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.284 * [taylor]: Taking taylor expansion of im in re
10.284 * [backup-simplify]: Simplify im into im
10.284 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.285 * [taylor]: Taking taylor expansion of im in re
10.285 * [backup-simplify]: Simplify im into im
10.285 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.285 * [backup-simplify]: Simplify (* 1 1) into 1
10.285 * [backup-simplify]: Simplify (+ 1 0) into 1
10.286 * [backup-simplify]: Simplify (sqrt 1) into 1
10.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.288 * [backup-simplify]: Simplify (+ 0 0) into 0
10.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.289 * [backup-simplify]: Simplify (sqrt 0) into 0
10.291 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.291 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
10.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.291 * [taylor]: Taking taylor expansion of re in re
10.291 * [backup-simplify]: Simplify 0 into 0
10.291 * [backup-simplify]: Simplify 1 into 1
10.291 * [backup-simplify]: Simplify (/ 1 1) into 1
10.291 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
10.292 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
10.292 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
10.292 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.292 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.292 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.292 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.292 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.292 * [taylor]: Taking taylor expansion of re in re
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify 1 into 1
10.292 * [backup-simplify]: Simplify (/ 1 1) into 1
10.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.292 * [taylor]: Taking taylor expansion of re in re
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify 1 into 1
10.293 * [backup-simplify]: Simplify (/ 1 1) into 1
10.293 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.293 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.293 * [taylor]: Taking taylor expansion of im in re
10.293 * [backup-simplify]: Simplify im into im
10.293 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.293 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.293 * [taylor]: Taking taylor expansion of im in re
10.293 * [backup-simplify]: Simplify im into im
10.293 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.294 * [backup-simplify]: Simplify (* 1 1) into 1
10.294 * [backup-simplify]: Simplify (+ 1 0) into 1
10.294 * [backup-simplify]: Simplify (sqrt 1) into 1
10.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.297 * [backup-simplify]: Simplify (+ 0 0) into 0
10.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.298 * [backup-simplify]: Simplify (sqrt 0) into 0
10.300 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.300 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.300 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.300 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.300 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.300 * [taylor]: Taking taylor expansion of re in re
10.300 * [backup-simplify]: Simplify 0 into 0
10.300 * [backup-simplify]: Simplify 1 into 1
10.300 * [backup-simplify]: Simplify (/ 1 1) into 1
10.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.300 * [taylor]: Taking taylor expansion of re in re
10.300 * [backup-simplify]: Simplify 0 into 0
10.300 * [backup-simplify]: Simplify 1 into 1
10.301 * [backup-simplify]: Simplify (/ 1 1) into 1
10.301 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.301 * [taylor]: Taking taylor expansion of im in re
10.301 * [backup-simplify]: Simplify im into im
10.301 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.301 * [taylor]: Taking taylor expansion of im in re
10.301 * [backup-simplify]: Simplify im into im
10.301 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.302 * [backup-simplify]: Simplify (* 1 1) into 1
10.302 * [backup-simplify]: Simplify (+ 1 0) into 1
10.302 * [backup-simplify]: Simplify (sqrt 1) into 1
10.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.305 * [backup-simplify]: Simplify (+ 0 0) into 0
10.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.306 * [backup-simplify]: Simplify (sqrt 0) into 0
10.307 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.308 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
10.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.308 * [taylor]: Taking taylor expansion of re in re
10.308 * [backup-simplify]: Simplify 0 into 0
10.308 * [backup-simplify]: Simplify 1 into 1
10.308 * [backup-simplify]: Simplify (/ 1 1) into 1
10.309 * [backup-simplify]: Simplify (* 0 0) into 0
10.309 * [backup-simplify]: Simplify (+ 0 0) into 0
10.309 * [taylor]: Taking taylor expansion of 0 in im
10.309 * [backup-simplify]: Simplify 0 into 0
10.310 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.310 * [backup-simplify]: Simplify (- 1) into -1
10.311 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.311 * [taylor]: Taking taylor expansion of -1 in im
10.311 * [backup-simplify]: Simplify -1 into -1
10.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.318 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.320 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
10.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.322 * [backup-simplify]: Simplify (- 0) into 0
10.323 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.323 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.323 * [taylor]: Taking taylor expansion of +nan.0 in im
10.323 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.323 * [backup-simplify]: Simplify 0 into 0
10.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.326 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.331 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.333 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.336 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.338 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.340 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.341 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
10.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.342 * [backup-simplify]: Simplify (- 0) into 0
10.343 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.343 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.343 * [taylor]: Taking taylor expansion of +nan.0 in im
10.343 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.343 * [backup-simplify]: Simplify -1 into -1
10.343 * [backup-simplify]: Simplify 0 into 0
10.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.347 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.347 * [backup-simplify]: Simplify (+ 0 0) into 0
10.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.349 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.353 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.353 * [backup-simplify]: Simplify (+ 0 0) into 0
10.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.355 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.357 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.358 * [backup-simplify]: Simplify (- 0) into 0
10.359 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.359 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
10.359 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
10.359 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
10.359 * [taylor]: Taking taylor expansion of +nan.0 in im
10.359 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.359 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.359 * [taylor]: Taking taylor expansion of im in im
10.359 * [backup-simplify]: Simplify 0 into 0
10.359 * [backup-simplify]: Simplify 1 into 1
10.359 * [backup-simplify]: Simplify (* 1 1) into 1
10.360 * [backup-simplify]: Simplify (/ 1 1) into 1
10.360 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.360 * [taylor]: Taking taylor expansion of +nan.0 in im
10.360 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.360 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
10.361 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
10.361 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
10.362 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.362 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.363 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.364 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
10.364 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
10.364 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
10.364 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
10.364 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
10.364 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
10.365 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
10.365 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.365 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.365 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.365 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.365 * [taylor]: Taking taylor expansion of -1 in im
10.365 * [backup-simplify]: Simplify -1 into -1
10.365 * [taylor]: Taking taylor expansion of re in im
10.365 * [backup-simplify]: Simplify re into re
10.365 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.365 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.365 * [taylor]: Taking taylor expansion of -1 in im
10.365 * [backup-simplify]: Simplify -1 into -1
10.365 * [taylor]: Taking taylor expansion of re in im
10.365 * [backup-simplify]: Simplify re into re
10.365 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.365 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.365 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.365 * [taylor]: Taking taylor expansion of -1 in im
10.365 * [backup-simplify]: Simplify -1 into -1
10.365 * [taylor]: Taking taylor expansion of im in im
10.365 * [backup-simplify]: Simplify 0 into 0
10.365 * [backup-simplify]: Simplify 1 into 1
10.366 * [backup-simplify]: Simplify (/ -1 1) into -1
10.366 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.366 * [taylor]: Taking taylor expansion of -1 in im
10.366 * [backup-simplify]: Simplify -1 into -1
10.366 * [taylor]: Taking taylor expansion of im in im
10.366 * [backup-simplify]: Simplify 0 into 0
10.366 * [backup-simplify]: Simplify 1 into 1
10.366 * [backup-simplify]: Simplify (/ -1 1) into -1
10.367 * [backup-simplify]: Simplify (* -1 -1) into 1
10.367 * [backup-simplify]: Simplify (+ 0 1) into 1
10.368 * [backup-simplify]: Simplify (sqrt 1) into 1
10.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.370 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.370 * [backup-simplify]: Simplify (+ 0 0) into 0
10.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.372 * [backup-simplify]: Simplify (sqrt 0) into 0
10.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.374 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
10.374 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.374 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.374 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.374 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.374 * [taylor]: Taking taylor expansion of -1 in im
10.374 * [backup-simplify]: Simplify -1 into -1
10.374 * [taylor]: Taking taylor expansion of re in im
10.374 * [backup-simplify]: Simplify re into re
10.374 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.374 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.374 * [taylor]: Taking taylor expansion of -1 in im
10.374 * [backup-simplify]: Simplify -1 into -1
10.374 * [taylor]: Taking taylor expansion of re in im
10.375 * [backup-simplify]: Simplify re into re
10.375 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.375 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.375 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.375 * [taylor]: Taking taylor expansion of -1 in im
10.375 * [backup-simplify]: Simplify -1 into -1
10.375 * [taylor]: Taking taylor expansion of im in im
10.375 * [backup-simplify]: Simplify 0 into 0
10.375 * [backup-simplify]: Simplify 1 into 1
10.376 * [backup-simplify]: Simplify (/ -1 1) into -1
10.376 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.376 * [taylor]: Taking taylor expansion of -1 in im
10.376 * [backup-simplify]: Simplify -1 into -1
10.376 * [taylor]: Taking taylor expansion of im in im
10.376 * [backup-simplify]: Simplify 0 into 0
10.376 * [backup-simplify]: Simplify 1 into 1
10.376 * [backup-simplify]: Simplify (/ -1 1) into -1
10.377 * [backup-simplify]: Simplify (* -1 -1) into 1
10.377 * [backup-simplify]: Simplify (+ 0 1) into 1
10.377 * [backup-simplify]: Simplify (sqrt 1) into 1
10.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.379 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.379 * [backup-simplify]: Simplify (+ 0 0) into 0
10.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.380 * [backup-simplify]: Simplify (sqrt 0) into 0
10.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.381 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.381 * [taylor]: Taking taylor expansion of re in im
10.381 * [backup-simplify]: Simplify re into re
10.381 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.381 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
10.381 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
10.381 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
10.381 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.381 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.381 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.381 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.381 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.381 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.381 * [taylor]: Taking taylor expansion of -1 in re
10.381 * [backup-simplify]: Simplify -1 into -1
10.381 * [taylor]: Taking taylor expansion of re in re
10.381 * [backup-simplify]: Simplify 0 into 0
10.381 * [backup-simplify]: Simplify 1 into 1
10.381 * [backup-simplify]: Simplify (/ -1 1) into -1
10.381 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.381 * [taylor]: Taking taylor expansion of -1 in re
10.381 * [backup-simplify]: Simplify -1 into -1
10.382 * [taylor]: Taking taylor expansion of re in re
10.382 * [backup-simplify]: Simplify 0 into 0
10.382 * [backup-simplify]: Simplify 1 into 1
10.382 * [backup-simplify]: Simplify (/ -1 1) into -1
10.382 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.382 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.382 * [taylor]: Taking taylor expansion of -1 in re
10.382 * [backup-simplify]: Simplify -1 into -1
10.382 * [taylor]: Taking taylor expansion of im in re
10.382 * [backup-simplify]: Simplify im into im
10.382 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.382 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.382 * [taylor]: Taking taylor expansion of -1 in re
10.382 * [backup-simplify]: Simplify -1 into -1
10.382 * [taylor]: Taking taylor expansion of im in re
10.382 * [backup-simplify]: Simplify im into im
10.382 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.382 * [backup-simplify]: Simplify (* -1 -1) into 1
10.383 * [backup-simplify]: Simplify (+ 1 0) into 1
10.383 * [backup-simplify]: Simplify (sqrt 1) into 1
10.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.384 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.384 * [backup-simplify]: Simplify (+ 0 0) into 0
10.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.385 * [backup-simplify]: Simplify (sqrt 0) into 0
10.386 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.386 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.386 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.386 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.386 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.386 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.386 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.386 * [taylor]: Taking taylor expansion of -1 in re
10.386 * [backup-simplify]: Simplify -1 into -1
10.386 * [taylor]: Taking taylor expansion of re in re
10.386 * [backup-simplify]: Simplify 0 into 0
10.386 * [backup-simplify]: Simplify 1 into 1
10.387 * [backup-simplify]: Simplify (/ -1 1) into -1
10.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.387 * [taylor]: Taking taylor expansion of -1 in re
10.387 * [backup-simplify]: Simplify -1 into -1
10.387 * [taylor]: Taking taylor expansion of re in re
10.387 * [backup-simplify]: Simplify 0 into 0
10.387 * [backup-simplify]: Simplify 1 into 1
10.387 * [backup-simplify]: Simplify (/ -1 1) into -1
10.387 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.387 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.387 * [taylor]: Taking taylor expansion of -1 in re
10.387 * [backup-simplify]: Simplify -1 into -1
10.387 * [taylor]: Taking taylor expansion of im in re
10.387 * [backup-simplify]: Simplify im into im
10.387 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.387 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.387 * [taylor]: Taking taylor expansion of -1 in re
10.387 * [backup-simplify]: Simplify -1 into -1
10.387 * [taylor]: Taking taylor expansion of im in re
10.387 * [backup-simplify]: Simplify im into im
10.387 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.387 * [backup-simplify]: Simplify (* -1 -1) into 1
10.388 * [backup-simplify]: Simplify (+ 1 0) into 1
10.388 * [backup-simplify]: Simplify (sqrt 1) into 1
10.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.390 * [backup-simplify]: Simplify (+ 0 0) into 0
10.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.390 * [backup-simplify]: Simplify (sqrt 0) into 0
10.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.391 * [taylor]: Taking taylor expansion of re in re
10.391 * [backup-simplify]: Simplify 0 into 0
10.391 * [backup-simplify]: Simplify 1 into 1
10.391 * [backup-simplify]: Simplify (/ 1 1) into 1
10.391 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
10.392 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
10.392 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
10.392 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.392 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.392 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.392 * [backup-simplify]: Simplify -1 into -1
10.392 * [taylor]: Taking taylor expansion of re in re
10.392 * [backup-simplify]: Simplify 0 into 0
10.392 * [backup-simplify]: Simplify 1 into 1
10.392 * [backup-simplify]: Simplify (/ -1 1) into -1
10.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.392 * [backup-simplify]: Simplify -1 into -1
10.392 * [taylor]: Taking taylor expansion of re in re
10.392 * [backup-simplify]: Simplify 0 into 0
10.392 * [backup-simplify]: Simplify 1 into 1
10.392 * [backup-simplify]: Simplify (/ -1 1) into -1
10.392 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.392 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.393 * [backup-simplify]: Simplify -1 into -1
10.393 * [taylor]: Taking taylor expansion of im in re
10.393 * [backup-simplify]: Simplify im into im
10.393 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.393 * [taylor]: Taking taylor expansion of -1 in re
10.393 * [backup-simplify]: Simplify -1 into -1
10.393 * [taylor]: Taking taylor expansion of im in re
10.393 * [backup-simplify]: Simplify im into im
10.393 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.393 * [backup-simplify]: Simplify (* -1 -1) into 1
10.393 * [backup-simplify]: Simplify (+ 1 0) into 1
10.393 * [backup-simplify]: Simplify (sqrt 1) into 1
10.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.395 * [backup-simplify]: Simplify (+ 0 0) into 0
10.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.396 * [backup-simplify]: Simplify (sqrt 0) into 0
10.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.397 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.397 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.397 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.397 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.397 * [taylor]: Taking taylor expansion of -1 in re
10.397 * [backup-simplify]: Simplify -1 into -1
10.397 * [taylor]: Taking taylor expansion of re in re
10.397 * [backup-simplify]: Simplify 0 into 0
10.397 * [backup-simplify]: Simplify 1 into 1
10.397 * [backup-simplify]: Simplify (/ -1 1) into -1
10.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.397 * [taylor]: Taking taylor expansion of -1 in re
10.397 * [backup-simplify]: Simplify -1 into -1
10.397 * [taylor]: Taking taylor expansion of re in re
10.397 * [backup-simplify]: Simplify 0 into 0
10.397 * [backup-simplify]: Simplify 1 into 1
10.397 * [backup-simplify]: Simplify (/ -1 1) into -1
10.398 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.398 * [taylor]: Taking taylor expansion of -1 in re
10.398 * [backup-simplify]: Simplify -1 into -1
10.398 * [taylor]: Taking taylor expansion of im in re
10.398 * [backup-simplify]: Simplify im into im
10.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.398 * [taylor]: Taking taylor expansion of -1 in re
10.398 * [backup-simplify]: Simplify -1 into -1
10.398 * [taylor]: Taking taylor expansion of im in re
10.398 * [backup-simplify]: Simplify im into im
10.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.398 * [backup-simplify]: Simplify (* -1 -1) into 1
10.398 * [backup-simplify]: Simplify (+ 1 0) into 1
10.399 * [backup-simplify]: Simplify (sqrt 1) into 1
10.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.400 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.400 * [backup-simplify]: Simplify (+ 0 0) into 0
10.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.401 * [backup-simplify]: Simplify (sqrt 0) into 0
10.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.402 * [taylor]: Taking taylor expansion of re in re
10.402 * [backup-simplify]: Simplify 0 into 0
10.402 * [backup-simplify]: Simplify 1 into 1
10.402 * [backup-simplify]: Simplify (/ 1 1) into 1
10.402 * [backup-simplify]: Simplify (* 0 0) into 0
10.403 * [backup-simplify]: Simplify (+ 0 0) into 0
10.403 * [taylor]: Taking taylor expansion of 0 in im
10.403 * [backup-simplify]: Simplify 0 into 0
10.403 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.403 * [backup-simplify]: Simplify (+ 0 1) into 1
10.403 * [taylor]: Taking taylor expansion of 1 in im
10.403 * [backup-simplify]: Simplify 1 into 1
10.405 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.407 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.408 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
10.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.409 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.410 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.410 * [taylor]: Taking taylor expansion of +nan.0 in im
10.410 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.410 * [backup-simplify]: Simplify 0 into 0
10.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.411 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.411 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.412 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.414 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.415 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.415 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.416 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.418 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.419 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
10.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.421 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.421 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.421 * [taylor]: Taking taylor expansion of +nan.0 in im
10.421 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.421 * [backup-simplify]: Simplify 1 into 1
10.421 * [backup-simplify]: Simplify 0 into 0
10.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.425 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.425 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.425 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.425 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.426 * [backup-simplify]: Simplify (+ 0 0) into 0
10.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.427 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.431 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.431 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.431 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.432 * [backup-simplify]: Simplify (+ 0 0) into 0
10.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.434 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.436 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.438 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.438 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
10.438 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
10.438 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
10.438 * [taylor]: Taking taylor expansion of +nan.0 in im
10.438 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.438 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.438 * [taylor]: Taking taylor expansion of im in im
10.438 * [backup-simplify]: Simplify 0 into 0
10.439 * [backup-simplify]: Simplify 1 into 1
10.439 * [backup-simplify]: Simplify (* 1 1) into 1
10.439 * [backup-simplify]: Simplify (/ 1 1) into 1
10.439 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.439 * [taylor]: Taking taylor expansion of +nan.0 in im
10.439 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.440 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
10.440 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
10.441 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
10.441 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.442 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.442 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.443 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
10.443 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
10.444 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
10.444 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in (re im) around 0
10.444 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in im
10.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.444 * [taylor]: Taking taylor expansion of 2.0 in im
10.444 * [backup-simplify]: Simplify 2.0 into 2.0
10.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.445 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in im
10.445 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
10.445 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
10.445 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
10.445 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
10.445 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.445 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.445 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.445 * [taylor]: Taking taylor expansion of (* re re) in im
10.445 * [taylor]: Taking taylor expansion of re in im
10.445 * [backup-simplify]: Simplify re into re
10.445 * [taylor]: Taking taylor expansion of re in im
10.445 * [backup-simplify]: Simplify re into re
10.445 * [taylor]: Taking taylor expansion of (* im im) in im
10.445 * [taylor]: Taking taylor expansion of im in im
10.445 * [backup-simplify]: Simplify 0 into 0
10.445 * [backup-simplify]: Simplify 1 into 1
10.445 * [taylor]: Taking taylor expansion of im in im
10.446 * [backup-simplify]: Simplify 0 into 0
10.446 * [backup-simplify]: Simplify 1 into 1
10.446 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.446 * [backup-simplify]: Simplify (* 0 0) into 0
10.446 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.446 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.446 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.447 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.447 * [backup-simplify]: Simplify (+ 0 0) into 0
10.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.447 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
10.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
10.448 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
10.448 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.448 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.448 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.448 * [taylor]: Taking taylor expansion of (* re re) in im
10.448 * [taylor]: Taking taylor expansion of re in im
10.448 * [backup-simplify]: Simplify re into re
10.448 * [taylor]: Taking taylor expansion of re in im
10.448 * [backup-simplify]: Simplify re into re
10.448 * [taylor]: Taking taylor expansion of (* im im) in im
10.448 * [taylor]: Taking taylor expansion of im in im
10.448 * [backup-simplify]: Simplify 0 into 0
10.448 * [backup-simplify]: Simplify 1 into 1
10.448 * [taylor]: Taking taylor expansion of im in im
10.448 * [backup-simplify]: Simplify 0 into 0
10.448 * [backup-simplify]: Simplify 1 into 1
10.448 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.448 * [backup-simplify]: Simplify (* 0 0) into 0
10.449 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.449 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.449 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.449 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.450 * [backup-simplify]: Simplify (+ 0 0) into 0
10.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.450 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
10.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
10.450 * [taylor]: Taking taylor expansion of (- re) in im
10.450 * [taylor]: Taking taylor expansion of re in im
10.450 * [backup-simplify]: Simplify re into re
10.450 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re
10.450 * [backup-simplify]: Simplify (- re) into (- re)
10.450 * [backup-simplify]: Simplify (+ re (- re)) into 0
10.450 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0
10.451 * [backup-simplify]: Simplify (- 0) into 0
10.451 * [backup-simplify]: Simplify (+ 0 0) into 0
10.452 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
10.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.455 * [backup-simplify]: Simplify (+ 0 1) into 1
10.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
10.457 * [backup-simplify]: Simplify (/ (- (/ 1/2 re) (pow 0 2) (+)) (* 2 (sqrt re))) into (* 1/4 (sqrt (/ 1 (pow re 3))))
10.457 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
10.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.458 * [backup-simplify]: Simplify (+ 0 1) into 1
10.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
10.460 * [backup-simplify]: Simplify (/ (- (/ 1/2 re) (pow 0 2) (+)) (* 2 (sqrt re))) into (* 1/4 (sqrt (/ 1 (pow re 3))))
10.461 * [backup-simplify]: Simplify (+ (* (sqrt re) (* 1/4 (sqrt (/ 1 (pow re 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow re 3)))) (sqrt re)))) into (* 1/2 (/ 1 re))
10.461 * [backup-simplify]: Simplify (- 0) into 0
10.461 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 re)) 0) into (* 1/2 (/ 1 re))
10.461 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
10.462 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
10.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.463 * [backup-simplify]: Simplify (+ 0 0) into 0
10.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
10.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow re 3)))))))) (* 2 (sqrt re))) into 0
10.463 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
10.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.464 * [backup-simplify]: Simplify (+ 0 0) into 0
10.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
10.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow re 3)))))))) (* 2 (sqrt re))) into 0
10.465 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow re 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow re 3)))) 0) (* 0 (sqrt re))))) into 0
10.465 * [backup-simplify]: Simplify (- 0) into 0
10.465 * [backup-simplify]: Simplify (+ 0 0) into 0
10.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
10.465 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in re
10.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.465 * [taylor]: Taking taylor expansion of 2.0 in re
10.465 * [backup-simplify]: Simplify 2.0 into 2.0
10.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.466 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re
10.466 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
10.466 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
10.466 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
10.466 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.466 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.466 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.466 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.466 * [taylor]: Taking taylor expansion of (* re re) in re
10.466 * [taylor]: Taking taylor expansion of re in re
10.466 * [backup-simplify]: Simplify 0 into 0
10.466 * [backup-simplify]: Simplify 1 into 1
10.466 * [taylor]: Taking taylor expansion of re in re
10.466 * [backup-simplify]: Simplify 0 into 0
10.466 * [backup-simplify]: Simplify 1 into 1
10.466 * [taylor]: Taking taylor expansion of (* im im) in re
10.466 * [taylor]: Taking taylor expansion of im in re
10.466 * [backup-simplify]: Simplify im into im
10.466 * [taylor]: Taking taylor expansion of im in re
10.466 * [backup-simplify]: Simplify im into im
10.467 * [backup-simplify]: Simplify (* 0 0) into 0
10.467 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.467 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.467 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.467 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.467 * [backup-simplify]: Simplify (+ 0 0) into 0
10.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.468 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.468 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.468 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.468 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.468 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.468 * [taylor]: Taking taylor expansion of (* re re) in re
10.468 * [taylor]: Taking taylor expansion of re in re
10.468 * [backup-simplify]: Simplify 0 into 0
10.468 * [backup-simplify]: Simplify 1 into 1
10.468 * [taylor]: Taking taylor expansion of re in re
10.468 * [backup-simplify]: Simplify 0 into 0
10.468 * [backup-simplify]: Simplify 1 into 1
10.468 * [taylor]: Taking taylor expansion of (* im im) in re
10.468 * [taylor]: Taking taylor expansion of im in re
10.468 * [backup-simplify]: Simplify im into im
10.468 * [taylor]: Taking taylor expansion of im in re
10.468 * [backup-simplify]: Simplify im into im
10.468 * [backup-simplify]: Simplify (* 0 0) into 0
10.468 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.468 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.468 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.469 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.469 * [backup-simplify]: Simplify (+ 0 0) into 0
10.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.469 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.469 * [taylor]: Taking taylor expansion of (- re) in re
10.469 * [taylor]: Taking taylor expansion of re in re
10.469 * [backup-simplify]: Simplify 0 into 0
10.469 * [backup-simplify]: Simplify 1 into 1
10.469 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
10.470 * [backup-simplify]: Simplify (- 0) into 0
10.470 * [backup-simplify]: Simplify (+ im 0) into im
10.470 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.470 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
10.470 * [backup-simplify]: Simplify (- 1) into -1
10.470 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
10.470 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in re
10.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.470 * [taylor]: Taking taylor expansion of 2.0 in re
10.470 * [backup-simplify]: Simplify 2.0 into 2.0
10.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.471 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re
10.471 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
10.471 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
10.471 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
10.471 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.471 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.471 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.471 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.471 * [taylor]: Taking taylor expansion of (* re re) in re
10.471 * [taylor]: Taking taylor expansion of re in re
10.471 * [backup-simplify]: Simplify 0 into 0
10.471 * [backup-simplify]: Simplify 1 into 1
10.471 * [taylor]: Taking taylor expansion of re in re
10.471 * [backup-simplify]: Simplify 0 into 0
10.471 * [backup-simplify]: Simplify 1 into 1
10.471 * [taylor]: Taking taylor expansion of (* im im) in re
10.471 * [taylor]: Taking taylor expansion of im in re
10.472 * [backup-simplify]: Simplify im into im
10.472 * [taylor]: Taking taylor expansion of im in re
10.472 * [backup-simplify]: Simplify im into im
10.472 * [backup-simplify]: Simplify (* 0 0) into 0
10.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.472 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.472 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.472 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.473 * [backup-simplify]: Simplify (+ 0 0) into 0
10.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.473 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.473 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.473 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.473 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.473 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.473 * [taylor]: Taking taylor expansion of (* re re) in re
10.473 * [taylor]: Taking taylor expansion of re in re
10.473 * [backup-simplify]: Simplify 0 into 0
10.473 * [backup-simplify]: Simplify 1 into 1
10.473 * [taylor]: Taking taylor expansion of re in re
10.473 * [backup-simplify]: Simplify 0 into 0
10.473 * [backup-simplify]: Simplify 1 into 1
10.473 * [taylor]: Taking taylor expansion of (* im im) in re
10.473 * [taylor]: Taking taylor expansion of im in re
10.473 * [backup-simplify]: Simplify im into im
10.473 * [taylor]: Taking taylor expansion of im in re
10.473 * [backup-simplify]: Simplify im into im
10.473 * [backup-simplify]: Simplify (* 0 0) into 0
10.473 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.473 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.474 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.474 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.474 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.474 * [backup-simplify]: Simplify (+ 0 0) into 0
10.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.474 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.474 * [taylor]: Taking taylor expansion of (- re) in re
10.474 * [taylor]: Taking taylor expansion of re in re
10.474 * [backup-simplify]: Simplify 0 into 0
10.474 * [backup-simplify]: Simplify 1 into 1
10.474 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
10.475 * [backup-simplify]: Simplify (- 0) into 0
10.475 * [backup-simplify]: Simplify (+ im 0) into im
10.475 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.475 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
10.475 * [backup-simplify]: Simplify (- 1) into -1
10.475 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.475 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
10.476 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
10.476 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
10.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.476 * [taylor]: Taking taylor expansion of 2.0 in im
10.476 * [backup-simplify]: Simplify 2.0 into 2.0
10.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.477 * [taylor]: Taking taylor expansion of (sqrt im) in im
10.477 * [taylor]: Taking taylor expansion of im in im
10.477 * [backup-simplify]: Simplify 0 into 0
10.477 * [backup-simplify]: Simplify 1 into 1
10.477 * [backup-simplify]: Simplify (sqrt 0) into 0
10.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.479 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.480 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.480 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
10.480 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
10.480 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
10.480 * [taylor]: Taking taylor expansion of 1/2 in im
10.480 * [backup-simplify]: Simplify 1/2 into 1/2
10.480 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
10.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.480 * [taylor]: Taking taylor expansion of 2.0 in im
10.480 * [backup-simplify]: Simplify 2.0 into 2.0
10.481 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
10.481 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.481 * [taylor]: Taking taylor expansion of im in im
10.481 * [backup-simplify]: Simplify 0 into 0
10.481 * [backup-simplify]: Simplify 1 into 1
10.481 * [backup-simplify]: Simplify (/ 1 1) into 1
10.482 * [backup-simplify]: Simplify (sqrt 0) into 0
10.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.485 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.486 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.490 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
10.492 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.493 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.498 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
10.500 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.502 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.505 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.509 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
10.510 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.516 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
10.516 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))))
10.516 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in (re im) around 0
10.516 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in im
10.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.516 * [taylor]: Taking taylor expansion of 2.0 in im
10.516 * [backup-simplify]: Simplify 2.0 into 2.0
10.517 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.517 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in im
10.517 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
10.517 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
10.517 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
10.517 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
10.518 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.518 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.518 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.518 * [taylor]: Taking taylor expansion of re in im
10.518 * [backup-simplify]: Simplify re into re
10.518 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.518 * [taylor]: Taking taylor expansion of re in im
10.518 * [backup-simplify]: Simplify re into re
10.518 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.518 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.518 * [taylor]: Taking taylor expansion of im in im
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [backup-simplify]: Simplify 1 into 1
10.518 * [backup-simplify]: Simplify (/ 1 1) into 1
10.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.518 * [taylor]: Taking taylor expansion of im in im
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [backup-simplify]: Simplify 1 into 1
10.519 * [backup-simplify]: Simplify (/ 1 1) into 1
10.519 * [backup-simplify]: Simplify (* 1 1) into 1
10.520 * [backup-simplify]: Simplify (+ 0 1) into 1
10.520 * [backup-simplify]: Simplify (sqrt 1) into 1
10.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.523 * [backup-simplify]: Simplify (+ 0 0) into 0
10.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.524 * [backup-simplify]: Simplify (sqrt 0) into 0
10.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.525 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
10.525 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.525 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.525 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.525 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.526 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.526 * [taylor]: Taking taylor expansion of re in im
10.526 * [backup-simplify]: Simplify re into re
10.526 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.526 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.526 * [taylor]: Taking taylor expansion of re in im
10.526 * [backup-simplify]: Simplify re into re
10.526 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.526 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.526 * [taylor]: Taking taylor expansion of im in im
10.526 * [backup-simplify]: Simplify 0 into 0
10.526 * [backup-simplify]: Simplify 1 into 1
10.526 * [backup-simplify]: Simplify (/ 1 1) into 1
10.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.526 * [taylor]: Taking taylor expansion of im in im
10.526 * [backup-simplify]: Simplify 0 into 0
10.526 * [backup-simplify]: Simplify 1 into 1
10.527 * [backup-simplify]: Simplify (/ 1 1) into 1
10.527 * [backup-simplify]: Simplify (* 1 1) into 1
10.528 * [backup-simplify]: Simplify (+ 0 1) into 1
10.528 * [backup-simplify]: Simplify (sqrt 1) into 1
10.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.530 * [backup-simplify]: Simplify (+ 0 0) into 0
10.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.532 * [backup-simplify]: Simplify (sqrt 0) into 0
10.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.533 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
10.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.533 * [taylor]: Taking taylor expansion of re in im
10.533 * [backup-simplify]: Simplify re into re
10.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.533 * [backup-simplify]: Simplify (* 0 0) into 0
10.534 * [backup-simplify]: Simplify (+ 0 0) into 0
10.534 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.535 * [backup-simplify]: Simplify (+ 0 0) into 0
10.538 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.543 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
10.543 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
10.544 * [backup-simplify]: Simplify (+ (- +nan.0) (- (/ 1 re))) into (- (+ (/ 1 re) (- +nan.0)))
10.544 * [backup-simplify]: Simplify (sqrt (- (+ (/ 1 re) (- +nan.0)))) into (sqrt (- (+ (/ 1 re) (- +nan.0))))
10.544 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
10.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.548 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
10.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
10.551 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
10.551 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
10.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.554 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
10.555 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
10.557 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
10.558 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
10.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.559 * [backup-simplify]: Simplify (- 0) into 0
10.559 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.560 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (/ 1 re) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (/ 1 re) (- +nan.0)))))
10.560 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re
10.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.560 * [taylor]: Taking taylor expansion of 2.0 in re
10.560 * [backup-simplify]: Simplify 2.0 into 2.0
10.561 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.562 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re
10.562 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
10.562 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
10.562 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
10.562 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.562 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.562 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.562 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.562 * [taylor]: Taking taylor expansion of re in re
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [backup-simplify]: Simplify 1 into 1
10.562 * [backup-simplify]: Simplify (/ 1 1) into 1
10.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.563 * [taylor]: Taking taylor expansion of re in re
10.563 * [backup-simplify]: Simplify 0 into 0
10.563 * [backup-simplify]: Simplify 1 into 1
10.563 * [backup-simplify]: Simplify (/ 1 1) into 1
10.563 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.563 * [taylor]: Taking taylor expansion of im in re
10.563 * [backup-simplify]: Simplify im into im
10.563 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.563 * [taylor]: Taking taylor expansion of im in re
10.563 * [backup-simplify]: Simplify im into im
10.563 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.564 * [backup-simplify]: Simplify (* 1 1) into 1
10.564 * [backup-simplify]: Simplify (+ 1 0) into 1
10.565 * [backup-simplify]: Simplify (sqrt 1) into 1
10.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.567 * [backup-simplify]: Simplify (+ 0 0) into 0
10.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.568 * [backup-simplify]: Simplify (sqrt 0) into 0
10.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.570 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.570 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.570 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.570 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.570 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.570 * [taylor]: Taking taylor expansion of re in re
10.570 * [backup-simplify]: Simplify 0 into 0
10.570 * [backup-simplify]: Simplify 1 into 1
10.570 * [backup-simplify]: Simplify (/ 1 1) into 1
10.570 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.571 * [taylor]: Taking taylor expansion of re in re
10.571 * [backup-simplify]: Simplify 0 into 0
10.571 * [backup-simplify]: Simplify 1 into 1
10.571 * [backup-simplify]: Simplify (/ 1 1) into 1
10.571 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.571 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.571 * [taylor]: Taking taylor expansion of im in re
10.571 * [backup-simplify]: Simplify im into im
10.571 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.571 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.571 * [taylor]: Taking taylor expansion of im in re
10.571 * [backup-simplify]: Simplify im into im
10.571 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.572 * [backup-simplify]: Simplify (* 1 1) into 1
10.572 * [backup-simplify]: Simplify (+ 1 0) into 1
10.572 * [backup-simplify]: Simplify (sqrt 1) into 1
10.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.575 * [backup-simplify]: Simplify (+ 0 0) into 0
10.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.576 * [backup-simplify]: Simplify (sqrt 0) into 0
10.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.578 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
10.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.578 * [taylor]: Taking taylor expansion of re in re
10.578 * [backup-simplify]: Simplify 0 into 0
10.578 * [backup-simplify]: Simplify 1 into 1
10.578 * [backup-simplify]: Simplify (/ 1 1) into 1
10.579 * [backup-simplify]: Simplify (* 0 0) into 0
10.579 * [backup-simplify]: Simplify (+ 0 0) into 0
10.580 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.580 * [backup-simplify]: Simplify (- 1) into -1
10.580 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.581 * [backup-simplify]: Simplify (sqrt 0) into 0
10.582 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.582 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re
10.582 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.582 * [taylor]: Taking taylor expansion of 2.0 in re
10.582 * [backup-simplify]: Simplify 2.0 into 2.0
10.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.583 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re
10.583 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
10.583 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
10.583 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
10.583 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.584 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.584 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.584 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.584 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.584 * [taylor]: Taking taylor expansion of re in re
10.584 * [backup-simplify]: Simplify 0 into 0
10.584 * [backup-simplify]: Simplify 1 into 1
10.584 * [backup-simplify]: Simplify (/ 1 1) into 1
10.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.584 * [taylor]: Taking taylor expansion of re in re
10.584 * [backup-simplify]: Simplify 0 into 0
10.584 * [backup-simplify]: Simplify 1 into 1
10.585 * [backup-simplify]: Simplify (/ 1 1) into 1
10.585 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.585 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.585 * [taylor]: Taking taylor expansion of im in re
10.585 * [backup-simplify]: Simplify im into im
10.585 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.585 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.585 * [taylor]: Taking taylor expansion of im in re
10.585 * [backup-simplify]: Simplify im into im
10.585 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.587 * [backup-simplify]: Simplify (* 1 1) into 1
10.588 * [backup-simplify]: Simplify (+ 1 0) into 1
10.588 * [backup-simplify]: Simplify (sqrt 1) into 1
10.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.591 * [backup-simplify]: Simplify (+ 0 0) into 0
10.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.592 * [backup-simplify]: Simplify (sqrt 0) into 0
10.593 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.594 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.594 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.594 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.594 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.594 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.594 * [taylor]: Taking taylor expansion of re in re
10.594 * [backup-simplify]: Simplify 0 into 0
10.594 * [backup-simplify]: Simplify 1 into 1
10.594 * [backup-simplify]: Simplify (/ 1 1) into 1
10.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.594 * [taylor]: Taking taylor expansion of re in re
10.594 * [backup-simplify]: Simplify 0 into 0
10.594 * [backup-simplify]: Simplify 1 into 1
10.595 * [backup-simplify]: Simplify (/ 1 1) into 1
10.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.595 * [taylor]: Taking taylor expansion of im in re
10.595 * [backup-simplify]: Simplify im into im
10.595 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.595 * [taylor]: Taking taylor expansion of im in re
10.595 * [backup-simplify]: Simplify im into im
10.595 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.595 * [backup-simplify]: Simplify (* 1 1) into 1
10.596 * [backup-simplify]: Simplify (+ 1 0) into 1
10.596 * [backup-simplify]: Simplify (sqrt 1) into 1
10.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.599 * [backup-simplify]: Simplify (+ 0 0) into 0
10.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.600 * [backup-simplify]: Simplify (sqrt 0) into 0
10.601 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.601 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
10.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.601 * [taylor]: Taking taylor expansion of re in re
10.601 * [backup-simplify]: Simplify 0 into 0
10.601 * [backup-simplify]: Simplify 1 into 1
10.602 * [backup-simplify]: Simplify (/ 1 1) into 1
10.602 * [backup-simplify]: Simplify (* 0 0) into 0
10.602 * [backup-simplify]: Simplify (+ 0 0) into 0
10.602 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.603 * [backup-simplify]: Simplify (- 1) into -1
10.603 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.603 * [backup-simplify]: Simplify (sqrt 0) into 0
10.604 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.604 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.604 * [taylor]: Taking taylor expansion of 0 in im
10.604 * [backup-simplify]: Simplify 0 into 0
10.604 * [backup-simplify]: Simplify 0 into 0
10.606 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.606 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.606 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.606 * [taylor]: Taking taylor expansion of +nan.0 in im
10.606 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.606 * [taylor]: Taking taylor expansion of 2.0 in im
10.606 * [backup-simplify]: Simplify 2.0 into 2.0
10.606 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.607 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.608 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.609 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.609 * [backup-simplify]: Simplify 0 into 0
10.611 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.613 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.614 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
10.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.615 * [backup-simplify]: Simplify (- 0) into 0
10.615 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.617 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.620 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
10.620 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.620 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.620 * [taylor]: Taking taylor expansion of +nan.0 in im
10.620 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.620 * [taylor]: Taking taylor expansion of 2.0 in im
10.620 * [backup-simplify]: Simplify 2.0 into 2.0
10.620 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.621 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.622 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.623 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.623 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.624 * [backup-simplify]: Simplify (- 0) into 0
10.624 * [backup-simplify]: Simplify 0 into 0
10.624 * [backup-simplify]: Simplify 0 into 0
10.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.625 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.625 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.626 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.628 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.629 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.629 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.630 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.631 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.632 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
10.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.633 * [backup-simplify]: Simplify (- 0) into 0
10.634 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.638 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.643 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
10.643 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.643 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.643 * [taylor]: Taking taylor expansion of +nan.0 in im
10.643 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.643 * [taylor]: Taking taylor expansion of 2.0 in im
10.643 * [backup-simplify]: Simplify 2.0 into 2.0
10.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.645 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.647 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.648 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.653 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
10.653 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))))
10.653 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in (re im) around 0
10.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in im
10.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.654 * [taylor]: Taking taylor expansion of 2.0 in im
10.654 * [backup-simplify]: Simplify 2.0 into 2.0
10.654 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.655 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in im
10.655 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
10.655 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
10.655 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
10.655 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
10.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.655 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.655 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.655 * [taylor]: Taking taylor expansion of -1 in im
10.655 * [backup-simplify]: Simplify -1 into -1
10.655 * [taylor]: Taking taylor expansion of re in im
10.655 * [backup-simplify]: Simplify re into re
10.655 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.655 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.655 * [taylor]: Taking taylor expansion of -1 in im
10.655 * [backup-simplify]: Simplify -1 into -1
10.655 * [taylor]: Taking taylor expansion of re in im
10.655 * [backup-simplify]: Simplify re into re
10.655 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.655 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.655 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.655 * [taylor]: Taking taylor expansion of -1 in im
10.655 * [backup-simplify]: Simplify -1 into -1
10.656 * [taylor]: Taking taylor expansion of im in im
10.656 * [backup-simplify]: Simplify 0 into 0
10.656 * [backup-simplify]: Simplify 1 into 1
10.656 * [backup-simplify]: Simplify (/ -1 1) into -1
10.656 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.656 * [taylor]: Taking taylor expansion of -1 in im
10.656 * [backup-simplify]: Simplify -1 into -1
10.656 * [taylor]: Taking taylor expansion of im in im
10.656 * [backup-simplify]: Simplify 0 into 0
10.656 * [backup-simplify]: Simplify 1 into 1
10.657 * [backup-simplify]: Simplify (/ -1 1) into -1
10.657 * [backup-simplify]: Simplify (* -1 -1) into 1
10.657 * [backup-simplify]: Simplify (+ 0 1) into 1
10.658 * [backup-simplify]: Simplify (sqrt 1) into 1
10.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.660 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.660 * [backup-simplify]: Simplify (+ 0 0) into 0
10.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.662 * [backup-simplify]: Simplify (sqrt 0) into 0
10.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.663 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
10.663 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.663 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.663 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.663 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.663 * [taylor]: Taking taylor expansion of -1 in im
10.663 * [backup-simplify]: Simplify -1 into -1
10.663 * [taylor]: Taking taylor expansion of re in im
10.663 * [backup-simplify]: Simplify re into re
10.663 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.664 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.664 * [taylor]: Taking taylor expansion of -1 in im
10.664 * [backup-simplify]: Simplify -1 into -1
10.664 * [taylor]: Taking taylor expansion of re in im
10.664 * [backup-simplify]: Simplify re into re
10.664 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.664 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.664 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.664 * [taylor]: Taking taylor expansion of -1 in im
10.664 * [backup-simplify]: Simplify -1 into -1
10.664 * [taylor]: Taking taylor expansion of im in im
10.664 * [backup-simplify]: Simplify 0 into 0
10.664 * [backup-simplify]: Simplify 1 into 1
10.664 * [backup-simplify]: Simplify (/ -1 1) into -1
10.664 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.664 * [taylor]: Taking taylor expansion of -1 in im
10.664 * [backup-simplify]: Simplify -1 into -1
10.664 * [taylor]: Taking taylor expansion of im in im
10.664 * [backup-simplify]: Simplify 0 into 0
10.664 * [backup-simplify]: Simplify 1 into 1
10.665 * [backup-simplify]: Simplify (/ -1 1) into -1
10.665 * [backup-simplify]: Simplify (* -1 -1) into 1
10.666 * [backup-simplify]: Simplify (+ 0 1) into 1
10.666 * [backup-simplify]: Simplify (sqrt 1) into 1
10.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.668 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.669 * [backup-simplify]: Simplify (+ 0 0) into 0
10.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.670 * [backup-simplify]: Simplify (sqrt 0) into 0
10.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.671 * [taylor]: Taking taylor expansion of re in im
10.671 * [backup-simplify]: Simplify re into re
10.671 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.672 * [backup-simplify]: Simplify (* 0 0) into 0
10.672 * [backup-simplify]: Simplify (+ 0 0) into 0
10.673 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.673 * [backup-simplify]: Simplify (+ 0 0) into 0
10.676 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.679 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.682 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
10.682 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0)
10.683 * [backup-simplify]: Simplify (sqrt (- (/ 1 re) +nan.0)) into (sqrt (- (/ 1 re) +nan.0))
10.683 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
10.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.686 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
10.687 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
10.689 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
10.689 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
10.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.692 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.693 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
10.694 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
10.696 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
10.697 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
10.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.698 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.698 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 re) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 re) +nan.0))))
10.699 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in re
10.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.699 * [taylor]: Taking taylor expansion of 2.0 in re
10.699 * [backup-simplify]: Simplify 2.0 into 2.0
10.699 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.700 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re
10.700 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
10.700 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
10.700 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
10.700 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.700 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.700 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.700 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.700 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.700 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.700 * [taylor]: Taking taylor expansion of -1 in re
10.700 * [backup-simplify]: Simplify -1 into -1
10.700 * [taylor]: Taking taylor expansion of re in re
10.700 * [backup-simplify]: Simplify 0 into 0
10.700 * [backup-simplify]: Simplify 1 into 1
10.701 * [backup-simplify]: Simplify (/ -1 1) into -1
10.701 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.701 * [taylor]: Taking taylor expansion of -1 in re
10.701 * [backup-simplify]: Simplify -1 into -1
10.701 * [taylor]: Taking taylor expansion of re in re
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify 1 into 1
10.701 * [backup-simplify]: Simplify (/ -1 1) into -1
10.701 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.701 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.701 * [taylor]: Taking taylor expansion of -1 in re
10.701 * [backup-simplify]: Simplify -1 into -1
10.701 * [taylor]: Taking taylor expansion of im in re
10.701 * [backup-simplify]: Simplify im into im
10.702 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.702 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.702 * [taylor]: Taking taylor expansion of -1 in re
10.702 * [backup-simplify]: Simplify -1 into -1
10.702 * [taylor]: Taking taylor expansion of im in re
10.702 * [backup-simplify]: Simplify im into im
10.702 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.702 * [backup-simplify]: Simplify (* -1 -1) into 1
10.703 * [backup-simplify]: Simplify (+ 1 0) into 1
10.703 * [backup-simplify]: Simplify (sqrt 1) into 1
10.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.705 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.706 * [backup-simplify]: Simplify (+ 0 0) into 0
10.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.707 * [backup-simplify]: Simplify (sqrt 0) into 0
10.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.711 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.711 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.711 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.711 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.711 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.712 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.712 * [taylor]: Taking taylor expansion of -1 in re
10.712 * [backup-simplify]: Simplify -1 into -1
10.712 * [taylor]: Taking taylor expansion of re in re
10.712 * [backup-simplify]: Simplify 0 into 0
10.712 * [backup-simplify]: Simplify 1 into 1
10.712 * [backup-simplify]: Simplify (/ -1 1) into -1
10.712 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.712 * [taylor]: Taking taylor expansion of -1 in re
10.712 * [backup-simplify]: Simplify -1 into -1
10.712 * [taylor]: Taking taylor expansion of re in re
10.712 * [backup-simplify]: Simplify 0 into 0
10.712 * [backup-simplify]: Simplify 1 into 1
10.713 * [backup-simplify]: Simplify (/ -1 1) into -1
10.713 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.713 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.713 * [taylor]: Taking taylor expansion of -1 in re
10.713 * [backup-simplify]: Simplify -1 into -1
10.713 * [taylor]: Taking taylor expansion of im in re
10.713 * [backup-simplify]: Simplify im into im
10.713 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.713 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.713 * [taylor]: Taking taylor expansion of -1 in re
10.713 * [backup-simplify]: Simplify -1 into -1
10.713 * [taylor]: Taking taylor expansion of im in re
10.713 * [backup-simplify]: Simplify im into im
10.713 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.714 * [backup-simplify]: Simplify (* -1 -1) into 1
10.714 * [backup-simplify]: Simplify (+ 1 0) into 1
10.715 * [backup-simplify]: Simplify (sqrt 1) into 1
10.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.716 * [backup-simplify]: Simplify (+ 0 0) into 0
10.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.717 * [backup-simplify]: Simplify (sqrt 0) into 0
10.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.718 * [taylor]: Taking taylor expansion of re in re
10.718 * [backup-simplify]: Simplify 0 into 0
10.718 * [backup-simplify]: Simplify 1 into 1
10.718 * [backup-simplify]: Simplify (/ 1 1) into 1
10.718 * [backup-simplify]: Simplify (* 0 0) into 0
10.719 * [backup-simplify]: Simplify (+ 0 0) into 0
10.719 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.719 * [backup-simplify]: Simplify (+ 0 1) into 1
10.720 * [backup-simplify]: Simplify (sqrt 0) into 0
10.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in re
10.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.720 * [taylor]: Taking taylor expansion of 2.0 in re
10.720 * [backup-simplify]: Simplify 2.0 into 2.0
10.721 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.721 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re
10.721 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
10.721 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
10.721 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
10.721 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.721 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.721 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.721 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.722 * [taylor]: Taking taylor expansion of -1 in re
10.722 * [backup-simplify]: Simplify -1 into -1
10.722 * [taylor]: Taking taylor expansion of re in re
10.722 * [backup-simplify]: Simplify 0 into 0
10.722 * [backup-simplify]: Simplify 1 into 1
10.722 * [backup-simplify]: Simplify (/ -1 1) into -1
10.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.722 * [taylor]: Taking taylor expansion of -1 in re
10.722 * [backup-simplify]: Simplify -1 into -1
10.722 * [taylor]: Taking taylor expansion of re in re
10.722 * [backup-simplify]: Simplify 0 into 0
10.722 * [backup-simplify]: Simplify 1 into 1
10.722 * [backup-simplify]: Simplify (/ -1 1) into -1
10.722 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.722 * [taylor]: Taking taylor expansion of -1 in re
10.722 * [backup-simplify]: Simplify -1 into -1
10.722 * [taylor]: Taking taylor expansion of im in re
10.722 * [backup-simplify]: Simplify im into im
10.722 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.722 * [taylor]: Taking taylor expansion of -1 in re
10.722 * [backup-simplify]: Simplify -1 into -1
10.722 * [taylor]: Taking taylor expansion of im in re
10.723 * [backup-simplify]: Simplify im into im
10.723 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.723 * [backup-simplify]: Simplify (* -1 -1) into 1
10.723 * [backup-simplify]: Simplify (+ 1 0) into 1
10.723 * [backup-simplify]: Simplify (sqrt 1) into 1
10.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.725 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.725 * [backup-simplify]: Simplify (+ 0 0) into 0
10.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.726 * [backup-simplify]: Simplify (sqrt 0) into 0
10.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.727 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.727 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.727 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.727 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.727 * [taylor]: Taking taylor expansion of -1 in re
10.727 * [backup-simplify]: Simplify -1 into -1
10.727 * [taylor]: Taking taylor expansion of re in re
10.727 * [backup-simplify]: Simplify 0 into 0
10.727 * [backup-simplify]: Simplify 1 into 1
10.727 * [backup-simplify]: Simplify (/ -1 1) into -1
10.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.727 * [taylor]: Taking taylor expansion of -1 in re
10.727 * [backup-simplify]: Simplify -1 into -1
10.727 * [taylor]: Taking taylor expansion of re in re
10.727 * [backup-simplify]: Simplify 0 into 0
10.727 * [backup-simplify]: Simplify 1 into 1
10.728 * [backup-simplify]: Simplify (/ -1 1) into -1
10.728 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.728 * [taylor]: Taking taylor expansion of -1 in re
10.728 * [backup-simplify]: Simplify -1 into -1
10.728 * [taylor]: Taking taylor expansion of im in re
10.728 * [backup-simplify]: Simplify im into im
10.728 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.728 * [taylor]: Taking taylor expansion of -1 in re
10.728 * [backup-simplify]: Simplify -1 into -1
10.728 * [taylor]: Taking taylor expansion of im in re
10.728 * [backup-simplify]: Simplify im into im
10.728 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.728 * [backup-simplify]: Simplify (* -1 -1) into 1
10.728 * [backup-simplify]: Simplify (+ 1 0) into 1
10.729 * [backup-simplify]: Simplify (sqrt 1) into 1
10.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.730 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.730 * [backup-simplify]: Simplify (+ 0 0) into 0
10.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.731 * [backup-simplify]: Simplify (sqrt 0) into 0
10.732 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.732 * [taylor]: Taking taylor expansion of re in re
10.732 * [backup-simplify]: Simplify 0 into 0
10.732 * [backup-simplify]: Simplify 1 into 1
10.732 * [backup-simplify]: Simplify (/ 1 1) into 1
10.732 * [backup-simplify]: Simplify (* 0 0) into 0
10.733 * [backup-simplify]: Simplify (+ 0 0) into 0
10.733 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
10.733 * [backup-simplify]: Simplify (+ 0 1) into 1
10.733 * [backup-simplify]: Simplify (sqrt 0) into 0
10.734 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.735 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.735 * [taylor]: Taking taylor expansion of 0 in im
10.735 * [backup-simplify]: Simplify 0 into 0
10.735 * [backup-simplify]: Simplify 0 into 0
10.736 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.736 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.736 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.736 * [taylor]: Taking taylor expansion of +nan.0 in im
10.736 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.736 * [taylor]: Taking taylor expansion of 2.0 in im
10.736 * [backup-simplify]: Simplify 2.0 into 2.0
10.736 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.737 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.738 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.739 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.739 * [backup-simplify]: Simplify 0 into 0
10.741 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.743 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.745 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
10.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.746 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.748 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.751 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
10.751 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.752 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.752 * [taylor]: Taking taylor expansion of +nan.0 in im
10.752 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.752 * [taylor]: Taking taylor expansion of 2.0 in im
10.752 * [backup-simplify]: Simplify 2.0 into 2.0
10.752 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.754 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.755 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.757 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.758 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.758 * [backup-simplify]: Simplify (- 0) into 0
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 0 into 0
10.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.761 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.761 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.763 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.765 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.768 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.768 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.769 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.771 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.772 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
10.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.774 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
10.779 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.784 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
10.784 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.784 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.784 * [taylor]: Taking taylor expansion of +nan.0 in im
10.784 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.784 * [taylor]: Taking taylor expansion of 2.0 in im
10.784 * [backup-simplify]: Simplify 2.0 into 2.0
10.785 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.786 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.788 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.789 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.795 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
10.795 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
10.795 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
10.795 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
10.795 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
10.795 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.795 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.795 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.795 * [taylor]: Taking taylor expansion of (* re re) in im
10.795 * [taylor]: Taking taylor expansion of re in im
10.795 * [backup-simplify]: Simplify re into re
10.795 * [taylor]: Taking taylor expansion of re in im
10.795 * [backup-simplify]: Simplify re into re
10.795 * [taylor]: Taking taylor expansion of (* im im) in im
10.795 * [taylor]: Taking taylor expansion of im in im
10.795 * [backup-simplify]: Simplify 0 into 0
10.795 * [backup-simplify]: Simplify 1 into 1
10.795 * [taylor]: Taking taylor expansion of im in im
10.795 * [backup-simplify]: Simplify 0 into 0
10.795 * [backup-simplify]: Simplify 1 into 1
10.795 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.796 * [backup-simplify]: Simplify (* 0 0) into 0
10.796 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.796 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.796 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.797 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.797 * [backup-simplify]: Simplify (+ 0 0) into 0
10.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.797 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
10.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
10.797 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.797 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.797 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.798 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.798 * [taylor]: Taking taylor expansion of (* re re) in re
10.798 * [taylor]: Taking taylor expansion of re in re
10.798 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify 1 into 1
10.798 * [taylor]: Taking taylor expansion of re in re
10.798 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify 1 into 1
10.798 * [taylor]: Taking taylor expansion of (* im im) in re
10.798 * [taylor]: Taking taylor expansion of im in re
10.798 * [backup-simplify]: Simplify im into im
10.798 * [taylor]: Taking taylor expansion of im in re
10.798 * [backup-simplify]: Simplify im into im
10.798 * [backup-simplify]: Simplify (* 0 0) into 0
10.798 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.798 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.799 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.799 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.799 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.800 * [backup-simplify]: Simplify (+ 0 0) into 0
10.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.800 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.800 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.800 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.800 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.800 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.800 * [taylor]: Taking taylor expansion of (* re re) in re
10.800 * [taylor]: Taking taylor expansion of re in re
10.800 * [backup-simplify]: Simplify 0 into 0
10.800 * [backup-simplify]: Simplify 1 into 1
10.800 * [taylor]: Taking taylor expansion of re in re
10.800 * [backup-simplify]: Simplify 0 into 0
10.800 * [backup-simplify]: Simplify 1 into 1
10.800 * [taylor]: Taking taylor expansion of (* im im) in re
10.800 * [taylor]: Taking taylor expansion of im in re
10.800 * [backup-simplify]: Simplify im into im
10.800 * [taylor]: Taking taylor expansion of im in re
10.800 * [backup-simplify]: Simplify im into im
10.801 * [backup-simplify]: Simplify (* 0 0) into 0
10.801 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.801 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.801 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.802 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.802 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.802 * [backup-simplify]: Simplify (+ 0 0) into 0
10.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.802 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.803 * [taylor]: Taking taylor expansion of (sqrt im) in im
10.803 * [taylor]: Taking taylor expansion of im in im
10.803 * [backup-simplify]: Simplify 0 into 0
10.803 * [backup-simplify]: Simplify 1 into 1
10.803 * [backup-simplify]: Simplify (sqrt 0) into 0
10.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.805 * [backup-simplify]: Simplify 0 into 0
10.805 * [taylor]: Taking taylor expansion of 0 in im
10.805 * [backup-simplify]: Simplify 0 into 0
10.805 * [backup-simplify]: Simplify 0 into 0
10.805 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.806 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.807 * [backup-simplify]: Simplify (+ 1 0) into 1
10.807 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.808 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
10.808 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
10.808 * [taylor]: Taking taylor expansion of 1/4 in im
10.808 * [backup-simplify]: Simplify 1/4 into 1/4
10.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
10.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
10.808 * [taylor]: Taking taylor expansion of (pow im 3) in im
10.808 * [taylor]: Taking taylor expansion of im in im
10.808 * [backup-simplify]: Simplify 0 into 0
10.808 * [backup-simplify]: Simplify 1 into 1
10.809 * [backup-simplify]: Simplify (* 1 1) into 1
10.809 * [backup-simplify]: Simplify (* 1 1) into 1
10.810 * [backup-simplify]: Simplify (/ 1 1) into 1
10.810 * [backup-simplify]: Simplify (sqrt 0) into 0
10.812 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.817 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.819 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
10.820 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.820 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.823 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.823 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
10.823 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
10.824 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
10.824 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
10.824 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.824 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.824 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.824 * [taylor]: Taking taylor expansion of re in im
10.824 * [backup-simplify]: Simplify re into re
10.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.824 * [taylor]: Taking taylor expansion of re in im
10.824 * [backup-simplify]: Simplify re into re
10.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.824 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.824 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.824 * [taylor]: Taking taylor expansion of im in im
10.824 * [backup-simplify]: Simplify 0 into 0
10.824 * [backup-simplify]: Simplify 1 into 1
10.824 * [backup-simplify]: Simplify (/ 1 1) into 1
10.825 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.825 * [taylor]: Taking taylor expansion of im in im
10.825 * [backup-simplify]: Simplify 0 into 0
10.825 * [backup-simplify]: Simplify 1 into 1
10.825 * [backup-simplify]: Simplify (/ 1 1) into 1
10.825 * [backup-simplify]: Simplify (* 1 1) into 1
10.826 * [backup-simplify]: Simplify (+ 0 1) into 1
10.826 * [backup-simplify]: Simplify (sqrt 1) into 1
10.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.829 * [backup-simplify]: Simplify (+ 0 0) into 0
10.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.830 * [backup-simplify]: Simplify (sqrt 0) into 0
10.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.831 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.831 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.831 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.831 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.831 * [taylor]: Taking taylor expansion of re in re
10.831 * [backup-simplify]: Simplify 0 into 0
10.832 * [backup-simplify]: Simplify 1 into 1
10.832 * [backup-simplify]: Simplify (/ 1 1) into 1
10.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.832 * [taylor]: Taking taylor expansion of re in re
10.832 * [backup-simplify]: Simplify 0 into 0
10.832 * [backup-simplify]: Simplify 1 into 1
10.832 * [backup-simplify]: Simplify (/ 1 1) into 1
10.832 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.833 * [taylor]: Taking taylor expansion of im in re
10.833 * [backup-simplify]: Simplify im into im
10.833 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.833 * [taylor]: Taking taylor expansion of im in re
10.833 * [backup-simplify]: Simplify im into im
10.833 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.833 * [backup-simplify]: Simplify (* 1 1) into 1
10.834 * [backup-simplify]: Simplify (+ 1 0) into 1
10.834 * [backup-simplify]: Simplify (sqrt 1) into 1
10.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.839 * [backup-simplify]: Simplify (+ 0 0) into 0
10.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.840 * [backup-simplify]: Simplify (sqrt 0) into 0
10.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.841 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.842 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.842 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.842 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.842 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.842 * [taylor]: Taking taylor expansion of re in re
10.842 * [backup-simplify]: Simplify 0 into 0
10.842 * [backup-simplify]: Simplify 1 into 1
10.842 * [backup-simplify]: Simplify (/ 1 1) into 1
10.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.842 * [taylor]: Taking taylor expansion of re in re
10.842 * [backup-simplify]: Simplify 0 into 0
10.842 * [backup-simplify]: Simplify 1 into 1
10.843 * [backup-simplify]: Simplify (/ 1 1) into 1
10.843 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.843 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.843 * [taylor]: Taking taylor expansion of im in re
10.843 * [backup-simplify]: Simplify im into im
10.843 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.843 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.843 * [taylor]: Taking taylor expansion of im in re
10.843 * [backup-simplify]: Simplify im into im
10.843 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.843 * [backup-simplify]: Simplify (* 1 1) into 1
10.844 * [backup-simplify]: Simplify (+ 1 0) into 1
10.844 * [backup-simplify]: Simplify (sqrt 1) into 1
10.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.847 * [backup-simplify]: Simplify (+ 0 0) into 0
10.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.848 * [backup-simplify]: Simplify (sqrt 0) into 0
10.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.849 * [taylor]: Taking taylor expansion of 0 in im
10.849 * [backup-simplify]: Simplify 0 into 0
10.849 * [taylor]: Taking taylor expansion of +nan.0 in im
10.849 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.849 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.853 * [taylor]: Taking taylor expansion of +nan.0 in im
10.853 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.853 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.853 * [backup-simplify]: Simplify 0 into 0
10.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.856 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.858 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.860 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.860 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
10.860 * [taylor]: Taking taylor expansion of +nan.0 in im
10.860 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.860 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
10.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.860 * [taylor]: Taking taylor expansion of 1/2 in im
10.860 * [backup-simplify]: Simplify 1/2 into 1/2
10.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.860 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.860 * [taylor]: Taking taylor expansion of im in im
10.860 * [backup-simplify]: Simplify 0 into 0
10.860 * [backup-simplify]: Simplify 1 into 1
10.861 * [backup-simplify]: Simplify (* 1 1) into 1
10.861 * [backup-simplify]: Simplify (/ 1 1) into 1
10.861 * [taylor]: Taking taylor expansion of +nan.0 in im
10.861 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.863 * [backup-simplify]: Simplify (+ 0 0) into 0
10.864 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.864 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.865 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
10.865 * [backup-simplify]: Simplify 0 into 0
10.865 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.865 * [backup-simplify]: Simplify 0 into 0
10.865 * [backup-simplify]: Simplify 0 into 0
10.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.869 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.869 * [backup-simplify]: Simplify (+ 0 0) into 0
10.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.871 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.871 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
10.871 * [taylor]: Taking taylor expansion of +nan.0 in im
10.871 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.871 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
10.871 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
10.871 * [taylor]: Taking taylor expansion of +nan.0 in im
10.871 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.871 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.871 * [taylor]: Taking taylor expansion of im in im
10.871 * [backup-simplify]: Simplify 0 into 0
10.871 * [backup-simplify]: Simplify 1 into 1
10.872 * [backup-simplify]: Simplify (* 1 1) into 1
10.872 * [backup-simplify]: Simplify (/ 1 1) into 1
10.872 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.872 * [taylor]: Taking taylor expansion of +nan.0 in im
10.872 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.875 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
10.875 * [backup-simplify]: Simplify (+ 0 0) into 0
10.875 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
10.876 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
10.877 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
10.877 * [backup-simplify]: Simplify 0 into 0
10.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.880 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.882 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
10.884 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
10.885 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.885 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
10.885 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
10.885 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
10.886 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
10.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.886 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.886 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.886 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.886 * [taylor]: Taking taylor expansion of -1 in im
10.886 * [backup-simplify]: Simplify -1 into -1
10.886 * [taylor]: Taking taylor expansion of re in im
10.886 * [backup-simplify]: Simplify re into re
10.886 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.886 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.886 * [taylor]: Taking taylor expansion of -1 in im
10.886 * [backup-simplify]: Simplify -1 into -1
10.886 * [taylor]: Taking taylor expansion of re in im
10.886 * [backup-simplify]: Simplify re into re
10.886 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.886 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.886 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.886 * [taylor]: Taking taylor expansion of -1 in im
10.886 * [backup-simplify]: Simplify -1 into -1
10.886 * [taylor]: Taking taylor expansion of im in im
10.886 * [backup-simplify]: Simplify 0 into 0
10.886 * [backup-simplify]: Simplify 1 into 1
10.887 * [backup-simplify]: Simplify (/ -1 1) into -1
10.887 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.887 * [taylor]: Taking taylor expansion of -1 in im
10.887 * [backup-simplify]: Simplify -1 into -1
10.887 * [taylor]: Taking taylor expansion of im in im
10.887 * [backup-simplify]: Simplify 0 into 0
10.887 * [backup-simplify]: Simplify 1 into 1
10.887 * [backup-simplify]: Simplify (/ -1 1) into -1
10.888 * [backup-simplify]: Simplify (* -1 -1) into 1
10.888 * [backup-simplify]: Simplify (+ 0 1) into 1
10.888 * [backup-simplify]: Simplify (sqrt 1) into 1
10.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.891 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.891 * [backup-simplify]: Simplify (+ 0 0) into 0
10.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.892 * [backup-simplify]: Simplify (sqrt 0) into 0
10.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.894 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.894 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.894 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.894 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.894 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.894 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.894 * [taylor]: Taking taylor expansion of -1 in re
10.894 * [backup-simplify]: Simplify -1 into -1
10.894 * [taylor]: Taking taylor expansion of re in re
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify 1 into 1
10.895 * [backup-simplify]: Simplify (/ -1 1) into -1
10.895 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.895 * [taylor]: Taking taylor expansion of -1 in re
10.895 * [backup-simplify]: Simplify -1 into -1
10.895 * [taylor]: Taking taylor expansion of re in re
10.895 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify 1 into 1
10.895 * [backup-simplify]: Simplify (/ -1 1) into -1
10.895 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.895 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.895 * [taylor]: Taking taylor expansion of -1 in re
10.895 * [backup-simplify]: Simplify -1 into -1
10.895 * [taylor]: Taking taylor expansion of im in re
10.895 * [backup-simplify]: Simplify im into im
10.895 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.895 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.896 * [taylor]: Taking taylor expansion of -1 in re
10.896 * [backup-simplify]: Simplify -1 into -1
10.896 * [taylor]: Taking taylor expansion of im in re
10.896 * [backup-simplify]: Simplify im into im
10.896 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.896 * [backup-simplify]: Simplify (* -1 -1) into 1
10.896 * [backup-simplify]: Simplify (+ 1 0) into 1
10.897 * [backup-simplify]: Simplify (sqrt 1) into 1
10.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.899 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.900 * [backup-simplify]: Simplify (+ 0 0) into 0
10.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.901 * [backup-simplify]: Simplify (sqrt 0) into 0
10.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.902 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
10.902 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.902 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.902 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.902 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.903 * [taylor]: Taking taylor expansion of -1 in re
10.903 * [backup-simplify]: Simplify -1 into -1
10.903 * [taylor]: Taking taylor expansion of re in re
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 1 into 1
10.903 * [backup-simplify]: Simplify (/ -1 1) into -1
10.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.903 * [taylor]: Taking taylor expansion of -1 in re
10.903 * [backup-simplify]: Simplify -1 into -1
10.903 * [taylor]: Taking taylor expansion of re in re
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 1 into 1
10.904 * [backup-simplify]: Simplify (/ -1 1) into -1
10.904 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.904 * [taylor]: Taking taylor expansion of -1 in re
10.904 * [backup-simplify]: Simplify -1 into -1
10.904 * [taylor]: Taking taylor expansion of im in re
10.904 * [backup-simplify]: Simplify im into im
10.904 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.904 * [taylor]: Taking taylor expansion of -1 in re
10.904 * [backup-simplify]: Simplify -1 into -1
10.904 * [taylor]: Taking taylor expansion of im in re
10.904 * [backup-simplify]: Simplify im into im
10.904 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.905 * [backup-simplify]: Simplify (* -1 -1) into 1
10.905 * [backup-simplify]: Simplify (+ 1 0) into 1
10.905 * [backup-simplify]: Simplify (sqrt 1) into 1
10.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.908 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.908 * [backup-simplify]: Simplify (+ 0 0) into 0
10.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.909 * [backup-simplify]: Simplify (sqrt 0) into 0
10.910 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.910 * [taylor]: Taking taylor expansion of 0 in im
10.910 * [backup-simplify]: Simplify 0 into 0
10.910 * [taylor]: Taking taylor expansion of +nan.0 in im
10.910 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.910 * [backup-simplify]: Simplify 0 into 0
10.912 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.912 * [taylor]: Taking taylor expansion of +nan.0 in im
10.912 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.912 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.912 * [backup-simplify]: Simplify 0 into 0
10.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.914 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.914 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.915 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.916 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.916 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
10.916 * [taylor]: Taking taylor expansion of +nan.0 in im
10.916 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.916 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
10.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.916 * [taylor]: Taking taylor expansion of 1/2 in im
10.916 * [backup-simplify]: Simplify 1/2 into 1/2
10.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.916 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.916 * [taylor]: Taking taylor expansion of im in im
10.916 * [backup-simplify]: Simplify 0 into 0
10.916 * [backup-simplify]: Simplify 1 into 1
10.917 * [backup-simplify]: Simplify (* 1 1) into 1
10.917 * [backup-simplify]: Simplify (/ 1 1) into 1
10.917 * [taylor]: Taking taylor expansion of +nan.0 in im
10.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.919 * [backup-simplify]: Simplify (+ 0 0) into 0
10.919 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.919 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.919 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
10.920 * [backup-simplify]: Simplify 0 into 0
10.920 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.920 * [backup-simplify]: Simplify 0 into 0
10.920 * [backup-simplify]: Simplify 0 into 0
10.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.922 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.922 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.922 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.922 * [backup-simplify]: Simplify (+ 0 0) into 0
10.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.923 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.923 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
10.923 * [taylor]: Taking taylor expansion of +nan.0 in im
10.923 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.923 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
10.923 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
10.923 * [taylor]: Taking taylor expansion of +nan.0 in im
10.923 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.923 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.923 * [taylor]: Taking taylor expansion of im in im
10.923 * [backup-simplify]: Simplify 0 into 0
10.923 * [backup-simplify]: Simplify 1 into 1
10.924 * [backup-simplify]: Simplify (* 1 1) into 1
10.924 * [backup-simplify]: Simplify (/ 1 1) into 1
10.924 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.924 * [taylor]: Taking taylor expansion of +nan.0 in im
10.924 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.925 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
10.925 * [backup-simplify]: Simplify (+ 0 0) into 0
10.926 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
10.926 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
10.926 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
10.926 * [backup-simplify]: Simplify 0 into 0
10.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.928 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.929 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
10.930 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
10.931 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.931 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
10.931 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1)
10.931 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
10.931 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
10.931 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
10.931 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.931 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.931 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.931 * [taylor]: Taking taylor expansion of (* re re) in im
10.931 * [taylor]: Taking taylor expansion of re in im
10.931 * [backup-simplify]: Simplify re into re
10.931 * [taylor]: Taking taylor expansion of re in im
10.931 * [backup-simplify]: Simplify re into re
10.931 * [taylor]: Taking taylor expansion of (* im im) in im
10.931 * [taylor]: Taking taylor expansion of im in im
10.931 * [backup-simplify]: Simplify 0 into 0
10.931 * [backup-simplify]: Simplify 1 into 1
10.932 * [taylor]: Taking taylor expansion of im in im
10.932 * [backup-simplify]: Simplify 0 into 0
10.932 * [backup-simplify]: Simplify 1 into 1
10.932 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.932 * [backup-simplify]: Simplify (* 0 0) into 0
10.932 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.932 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.932 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.932 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.933 * [backup-simplify]: Simplify (+ 0 0) into 0
10.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.933 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
10.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
10.933 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.933 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.933 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.933 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.933 * [taylor]: Taking taylor expansion of (* re re) in re
10.933 * [taylor]: Taking taylor expansion of re in re
10.933 * [backup-simplify]: Simplify 0 into 0
10.933 * [backup-simplify]: Simplify 1 into 1
10.933 * [taylor]: Taking taylor expansion of re in re
10.933 * [backup-simplify]: Simplify 0 into 0
10.933 * [backup-simplify]: Simplify 1 into 1
10.933 * [taylor]: Taking taylor expansion of (* im im) in re
10.933 * [taylor]: Taking taylor expansion of im in re
10.933 * [backup-simplify]: Simplify im into im
10.933 * [taylor]: Taking taylor expansion of im in re
10.933 * [backup-simplify]: Simplify im into im
10.933 * [backup-simplify]: Simplify (* 0 0) into 0
10.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.933 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.934 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.934 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.934 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.934 * [backup-simplify]: Simplify (+ 0 0) into 0
10.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.934 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.934 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
10.934 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.934 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.934 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.934 * [taylor]: Taking taylor expansion of (* re re) in re
10.935 * [taylor]: Taking taylor expansion of re in re
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify 1 into 1
10.935 * [taylor]: Taking taylor expansion of re in re
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify 1 into 1
10.935 * [taylor]: Taking taylor expansion of (* im im) in re
10.935 * [taylor]: Taking taylor expansion of im in re
10.935 * [backup-simplify]: Simplify im into im
10.935 * [taylor]: Taking taylor expansion of im in re
10.935 * [backup-simplify]: Simplify im into im
10.935 * [backup-simplify]: Simplify (* 0 0) into 0
10.935 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.935 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.935 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.935 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.936 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.936 * [backup-simplify]: Simplify (+ 0 0) into 0
10.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.936 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
10.936 * [taylor]: Taking taylor expansion of (sqrt im) in im
10.936 * [taylor]: Taking taylor expansion of im in im
10.936 * [backup-simplify]: Simplify 0 into 0
10.936 * [backup-simplify]: Simplify 1 into 1
10.936 * [backup-simplify]: Simplify (sqrt 0) into 0
10.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.937 * [backup-simplify]: Simplify 0 into 0
10.937 * [taylor]: Taking taylor expansion of 0 in im
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.939 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.939 * [backup-simplify]: Simplify (+ 1 0) into 1
10.940 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.941 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
10.941 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
10.941 * [taylor]: Taking taylor expansion of 1/4 in im
10.941 * [backup-simplify]: Simplify 1/4 into 1/4
10.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
10.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
10.941 * [taylor]: Taking taylor expansion of (pow im 3) in im
10.941 * [taylor]: Taking taylor expansion of im in im
10.941 * [backup-simplify]: Simplify 0 into 0
10.941 * [backup-simplify]: Simplify 1 into 1
10.942 * [backup-simplify]: Simplify (* 1 1) into 1
10.942 * [backup-simplify]: Simplify (* 1 1) into 1
10.942 * [backup-simplify]: Simplify (/ 1 1) into 1
10.943 * [backup-simplify]: Simplify (sqrt 0) into 0
10.944 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.949 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.951 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
10.952 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.952 * [backup-simplify]: Simplify 0 into 0
10.955 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.955 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.956 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
10.956 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
10.956 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
10.956 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
10.956 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.957 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.957 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.957 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.957 * [taylor]: Taking taylor expansion of re in im
10.957 * [backup-simplify]: Simplify re into re
10.957 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.957 * [taylor]: Taking taylor expansion of re in im
10.957 * [backup-simplify]: Simplify re into re
10.957 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.957 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.957 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.957 * [taylor]: Taking taylor expansion of im in im
10.957 * [backup-simplify]: Simplify 0 into 0
10.957 * [backup-simplify]: Simplify 1 into 1
10.957 * [backup-simplify]: Simplify (/ 1 1) into 1
10.958 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.958 * [taylor]: Taking taylor expansion of im in im
10.958 * [backup-simplify]: Simplify 0 into 0
10.958 * [backup-simplify]: Simplify 1 into 1
10.958 * [backup-simplify]: Simplify (/ 1 1) into 1
10.958 * [backup-simplify]: Simplify (* 1 1) into 1
10.959 * [backup-simplify]: Simplify (+ 0 1) into 1
10.959 * [backup-simplify]: Simplify (sqrt 1) into 1
10.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.962 * [backup-simplify]: Simplify (+ 0 0) into 0
10.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.962 * [backup-simplify]: Simplify (sqrt 0) into 0
10.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.963 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.963 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.963 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.963 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.963 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.963 * [taylor]: Taking taylor expansion of re in re
10.963 * [backup-simplify]: Simplify 0 into 0
10.963 * [backup-simplify]: Simplify 1 into 1
10.963 * [backup-simplify]: Simplify (/ 1 1) into 1
10.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.964 * [taylor]: Taking taylor expansion of re in re
10.964 * [backup-simplify]: Simplify 0 into 0
10.964 * [backup-simplify]: Simplify 1 into 1
10.964 * [backup-simplify]: Simplify (/ 1 1) into 1
10.964 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.964 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.964 * [taylor]: Taking taylor expansion of im in re
10.964 * [backup-simplify]: Simplify im into im
10.964 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.964 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.964 * [taylor]: Taking taylor expansion of im in re
10.964 * [backup-simplify]: Simplify im into im
10.964 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.964 * [backup-simplify]: Simplify (* 1 1) into 1
10.964 * [backup-simplify]: Simplify (+ 1 0) into 1
10.965 * [backup-simplify]: Simplify (sqrt 1) into 1
10.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.968 * [backup-simplify]: Simplify (+ 0 0) into 0
10.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.969 * [backup-simplify]: Simplify (sqrt 0) into 0
10.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.970 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
10.970 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.970 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.970 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.970 * [taylor]: Taking taylor expansion of re in re
10.970 * [backup-simplify]: Simplify 0 into 0
10.970 * [backup-simplify]: Simplify 1 into 1
10.970 * [backup-simplify]: Simplify (/ 1 1) into 1
10.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.970 * [taylor]: Taking taylor expansion of re in re
10.970 * [backup-simplify]: Simplify 0 into 0
10.970 * [backup-simplify]: Simplify 1 into 1
10.971 * [backup-simplify]: Simplify (/ 1 1) into 1
10.971 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.971 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.971 * [taylor]: Taking taylor expansion of im in re
10.971 * [backup-simplify]: Simplify im into im
10.971 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.971 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.971 * [taylor]: Taking taylor expansion of im in re
10.971 * [backup-simplify]: Simplify im into im
10.971 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.971 * [backup-simplify]: Simplify (* 1 1) into 1
10.971 * [backup-simplify]: Simplify (+ 1 0) into 1
10.972 * [backup-simplify]: Simplify (sqrt 1) into 1
10.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.973 * [backup-simplify]: Simplify (+ 0 0) into 0
10.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.974 * [backup-simplify]: Simplify (sqrt 0) into 0
10.975 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.975 * [taylor]: Taking taylor expansion of 0 in im
10.975 * [backup-simplify]: Simplify 0 into 0
10.975 * [taylor]: Taking taylor expansion of +nan.0 in im
10.975 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.975 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.977 * [taylor]: Taking taylor expansion of +nan.0 in im
10.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.977 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.978 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.978 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.979 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.980 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
10.980 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
10.980 * [taylor]: Taking taylor expansion of +nan.0 in im
10.980 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.980 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
10.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.981 * [taylor]: Taking taylor expansion of 1/2 in im
10.981 * [backup-simplify]: Simplify 1/2 into 1/2
10.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.981 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.981 * [taylor]: Taking taylor expansion of im in im
10.981 * [backup-simplify]: Simplify 0 into 0
10.981 * [backup-simplify]: Simplify 1 into 1
10.981 * [backup-simplify]: Simplify (* 1 1) into 1
10.981 * [backup-simplify]: Simplify (/ 1 1) into 1
10.981 * [taylor]: Taking taylor expansion of +nan.0 in im
10.981 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.983 * [backup-simplify]: Simplify (+ 0 0) into 0
10.983 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.983 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.984 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.986 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.986 * [backup-simplify]: Simplify (+ 0 0) into 0
10.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
10.987 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
10.987 * [taylor]: Taking taylor expansion of +nan.0 in im
10.987 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.987 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
10.987 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
10.987 * [taylor]: Taking taylor expansion of +nan.0 in im
10.987 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.987 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.987 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.987 * [taylor]: Taking taylor expansion of im in im
10.987 * [backup-simplify]: Simplify 0 into 0
10.987 * [backup-simplify]: Simplify 1 into 1
10.988 * [backup-simplify]: Simplify (* 1 1) into 1
10.988 * [backup-simplify]: Simplify (/ 1 1) into 1
10.988 * [taylor]: Taking taylor expansion of (- +nan.0) in im
10.988 * [taylor]: Taking taylor expansion of +nan.0 in im
10.988 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.989 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
10.990 * [backup-simplify]: Simplify (+ 0 0) into 0
10.990 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
10.990 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
10.991 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.993 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.993 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
10.995 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
10.995 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
10.995 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
10.996 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
10.996 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
10.996 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
10.996 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.996 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.996 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.996 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.996 * [taylor]: Taking taylor expansion of -1 in im
10.996 * [backup-simplify]: Simplify -1 into -1
10.996 * [taylor]: Taking taylor expansion of re in im
10.996 * [backup-simplify]: Simplify re into re
10.996 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.996 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.996 * [taylor]: Taking taylor expansion of -1 in im
10.996 * [backup-simplify]: Simplify -1 into -1
10.996 * [taylor]: Taking taylor expansion of re in im
10.996 * [backup-simplify]: Simplify re into re
10.996 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.996 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.996 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.996 * [taylor]: Taking taylor expansion of -1 in im
10.996 * [backup-simplify]: Simplify -1 into -1
10.996 * [taylor]: Taking taylor expansion of im in im
10.996 * [backup-simplify]: Simplify 0 into 0
10.996 * [backup-simplify]: Simplify 1 into 1
10.996 * [backup-simplify]: Simplify (/ -1 1) into -1
10.996 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.996 * [taylor]: Taking taylor expansion of -1 in im
10.996 * [backup-simplify]: Simplify -1 into -1
10.996 * [taylor]: Taking taylor expansion of im in im
10.996 * [backup-simplify]: Simplify 0 into 0
10.997 * [backup-simplify]: Simplify 1 into 1
10.997 * [backup-simplify]: Simplify (/ -1 1) into -1
10.997 * [backup-simplify]: Simplify (* -1 -1) into 1
10.997 * [backup-simplify]: Simplify (+ 0 1) into 1
10.998 * [backup-simplify]: Simplify (sqrt 1) into 1
10.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.000 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.001 * [backup-simplify]: Simplify (+ 0 0) into 0
11.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.002 * [backup-simplify]: Simplify (sqrt 0) into 0
11.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.003 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
11.003 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.003 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.003 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.003 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.003 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.003 * [taylor]: Taking taylor expansion of -1 in re
11.003 * [backup-simplify]: Simplify -1 into -1
11.003 * [taylor]: Taking taylor expansion of re in re
11.003 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 1 into 1
11.004 * [backup-simplify]: Simplify (/ -1 1) into -1
11.004 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.004 * [taylor]: Taking taylor expansion of -1 in re
11.004 * [backup-simplify]: Simplify -1 into -1
11.004 * [taylor]: Taking taylor expansion of re in re
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 1 into 1
11.005 * [backup-simplify]: Simplify (/ -1 1) into -1
11.005 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.005 * [taylor]: Taking taylor expansion of -1 in re
11.005 * [backup-simplify]: Simplify -1 into -1
11.005 * [taylor]: Taking taylor expansion of im in re
11.005 * [backup-simplify]: Simplify im into im
11.005 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.005 * [taylor]: Taking taylor expansion of -1 in re
11.005 * [backup-simplify]: Simplify -1 into -1
11.005 * [taylor]: Taking taylor expansion of im in re
11.005 * [backup-simplify]: Simplify im into im
11.005 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.005 * [backup-simplify]: Simplify (* -1 -1) into 1
11.006 * [backup-simplify]: Simplify (+ 1 0) into 1
11.006 * [backup-simplify]: Simplify (sqrt 1) into 1
11.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.009 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.009 * [backup-simplify]: Simplify (+ 0 0) into 0
11.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.010 * [backup-simplify]: Simplify (sqrt 0) into 0
11.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.011 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
11.011 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.012 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.012 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.012 * [taylor]: Taking taylor expansion of -1 in re
11.012 * [backup-simplify]: Simplify -1 into -1
11.012 * [taylor]: Taking taylor expansion of re in re
11.012 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify 1 into 1
11.012 * [backup-simplify]: Simplify (/ -1 1) into -1
11.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.012 * [taylor]: Taking taylor expansion of -1 in re
11.012 * [backup-simplify]: Simplify -1 into -1
11.012 * [taylor]: Taking taylor expansion of re in re
11.012 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify 1 into 1
11.013 * [backup-simplify]: Simplify (/ -1 1) into -1
11.013 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.013 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.013 * [taylor]: Taking taylor expansion of -1 in re
11.013 * [backup-simplify]: Simplify -1 into -1
11.013 * [taylor]: Taking taylor expansion of im in re
11.013 * [backup-simplify]: Simplify im into im
11.013 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.013 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.013 * [taylor]: Taking taylor expansion of -1 in re
11.013 * [backup-simplify]: Simplify -1 into -1
11.013 * [taylor]: Taking taylor expansion of im in re
11.013 * [backup-simplify]: Simplify im into im
11.013 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.014 * [backup-simplify]: Simplify (* -1 -1) into 1
11.014 * [backup-simplify]: Simplify (+ 1 0) into 1
11.014 * [backup-simplify]: Simplify (sqrt 1) into 1
11.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.017 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.018 * [backup-simplify]: Simplify (+ 0 0) into 0
11.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.019 * [backup-simplify]: Simplify (sqrt 0) into 0
11.020 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.020 * [taylor]: Taking taylor expansion of 0 in im
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [taylor]: Taking taylor expansion of +nan.0 in im
11.020 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.020 * [backup-simplify]: Simplify 0 into 0
11.023 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.024 * [taylor]: Taking taylor expansion of +nan.0 in im
11.024 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.024 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.024 * [backup-simplify]: Simplify 0 into 0
11.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.027 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.027 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.027 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.028 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.030 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
11.030 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
11.030 * [taylor]: Taking taylor expansion of +nan.0 in im
11.030 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.030 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
11.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.030 * [taylor]: Taking taylor expansion of 1/2 in im
11.030 * [backup-simplify]: Simplify 1/2 into 1/2
11.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.030 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.030 * [taylor]: Taking taylor expansion of im in im
11.030 * [backup-simplify]: Simplify 0 into 0
11.030 * [backup-simplify]: Simplify 1 into 1
11.031 * [backup-simplify]: Simplify (* 1 1) into 1
11.031 * [backup-simplify]: Simplify (/ 1 1) into 1
11.031 * [taylor]: Taking taylor expansion of +nan.0 in im
11.031 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.034 * [backup-simplify]: Simplify (+ 0 0) into 0
11.035 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.035 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.036 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
11.036 * [backup-simplify]: Simplify 0 into 0
11.036 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.036 * [backup-simplify]: Simplify 0 into 0
11.036 * [backup-simplify]: Simplify 0 into 0
11.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.040 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.040 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.040 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.040 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.040 * [backup-simplify]: Simplify (+ 0 0) into 0
11.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.042 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
11.042 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
11.042 * [taylor]: Taking taylor expansion of +nan.0 in im
11.042 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.042 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
11.042 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
11.042 * [taylor]: Taking taylor expansion of +nan.0 in im
11.042 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.042 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.042 * [taylor]: Taking taylor expansion of im in im
11.042 * [backup-simplify]: Simplify 0 into 0
11.042 * [backup-simplify]: Simplify 1 into 1
11.043 * [backup-simplify]: Simplify (* 1 1) into 1
11.043 * [backup-simplify]: Simplify (/ 1 1) into 1
11.043 * [taylor]: Taking taylor expansion of (- +nan.0) in im
11.043 * [taylor]: Taking taylor expansion of +nan.0 in im
11.043 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.045 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
11.046 * [backup-simplify]: Simplify (+ 0 0) into 0
11.046 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
11.047 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
11.048 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
11.048 * [backup-simplify]: Simplify 0 into 0
11.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
11.052 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
11.054 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
11.055 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
11.055 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
11.055 * * * [progress]: simplifying candidates
11.055 * * * * [progress]: [ 1 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (log1p (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 2 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (expm1 (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 3 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 2.0))))>
11.056 * * * * [progress]: [ 4 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1) 2.0))))>
11.056 * * * * [progress]: [ 5 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 6 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 7 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 8 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (cbrt (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 9 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 10 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 2.0))))>
11.056 * * * * [progress]: [ 11 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (posit16->real (real->posit16 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
11.056 * * * * [progress]: [ 12 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.056 * * * * [progress]: [ 13 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.056 * * * * [progress]: [ 14 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0) 1/2)))>
11.057 * * * * [progress]: [ 15 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)) 1)))>
11.057 * * * * [progress]: [ 16 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.057 * * * * [progress]: [ 17 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.057 * * * * [progress]: [ 18 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.057 * * * * [progress]: [ 19 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.057 * * * * [progress]: [ 20 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0))))>
11.057 * * * * [progress]: [ 21 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0) (/ 1 2))))>
11.057 * * * * [progress]: [ 22 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0) (/ 1 2))))>
11.057 * * * * [progress]: [ 23 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.057 * * * * [progress]: [ 24 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)))))>
11.057 * * * * [progress]: [ 25 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))>
11.057 * * * * [progress]: [ 26 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (log1p (expm1 (sqrt (hypot re im)))) (- re)) 2.0))))>
11.057 * * * * [progress]: [ 27 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (expm1 (log1p (sqrt (hypot re im)))) (- re)) 2.0))))>
11.057 * * * * [progress]: [ 28 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (pow (hypot re im) 1/2) (- re)) 2.0))))>
11.057 * * * * [progress]: [ 29 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (pow (sqrt (hypot re im)) 1) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 30 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (exp (log (sqrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 31 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (log (exp (sqrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 32 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (cbrt (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 34 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 35 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 36 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (sqrt 1) (sqrt (hypot re im))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 37 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (pow (hypot re im) (/ 1 2)) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 38 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 39 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (fabs (sqrt (hypot re im))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 40 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* 1 (sqrt (hypot re im))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 41 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (posit16->real (real->posit16 (sqrt (hypot re im)))) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 42 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (log1p (expm1 (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 43 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (expm1 (log1p (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.058 * * * * [progress]: [ 44 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (pow (hypot re im) 1/2) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 45 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (pow (sqrt (hypot re im)) 1) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 46 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (exp (log (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 47 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (log (exp (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 48 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 49 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (cbrt (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 50 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 51 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 52 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (sqrt 1) (sqrt (hypot re im))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 53 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (pow (hypot re im) (/ 1 2)) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 54 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 55 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (fabs (sqrt (hypot re im))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 56 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* 1 (sqrt (hypot re im))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 57 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (posit16->real (real->posit16 (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.059 * * * * [progress]: [ 58 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (- im re) 2.0))))>
11.059 * * * * [progress]: [ 59 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 2.0))))>
11.060 * * * * [progress]: [ 60 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))) 2.0))))>
11.060 * * * * [progress]: [ 61 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))))>
11.060 * * * * [progress]: [ 62 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
11.060 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
11.060 * * * * [progress]: [ 64 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- re)) 2.0))))>
11.060 * * * * [progress]: [ 65 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- re)) 2.0))))>
11.060 * * * * [progress]: [ 66 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- re)) 2.0))))>
11.060 * * * * [progress]: [ 67 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.060 * * * * [progress]: [ 68 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.060 * * * * [progress]: [ 69 / 69 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (fma (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (sqrt (hypot re im)) (- re)) 2.0))))>
11.061 * [simplify]: Simplifying (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (* (sqrt (hypot re im)) (sqrt (hypot re im))), (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))), (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (real->posit16 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (expm1 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (log1p (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (log (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (exp (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)))), (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (* (* (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))), (sqrt 2.0), (/ 1 2), (/ 1 2), (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (real->posit16 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))), (expm1 (sqrt (hypot re im))), (log1p (sqrt (hypot re im))), (log (sqrt (hypot re im))), (exp (sqrt (hypot re im))), (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))), (cbrt (sqrt (hypot re im))), (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))), (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))), (sqrt (cbrt (hypot re im))), (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), (sqrt 1), (sqrt (hypot re im)), (/ 1 2), (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), (real->posit16 (sqrt (hypot re im))), (expm1 (sqrt (hypot re im))), (log1p (sqrt (hypot re im))), (log (sqrt (hypot re im))), (exp (sqrt (hypot re im))), (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))), (cbrt (sqrt (hypot re im))), (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))), (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))), (sqrt (cbrt (hypot re im))), (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), (sqrt 1), (sqrt (hypot re im)), (/ 1 2), (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), (real->posit16 (sqrt (hypot re im))), (- im re), (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))), (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))), (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))), (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))), (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))), (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))), (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))), (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))), (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))), (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))), (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
11.063 * * [simplify]: iteration 1: (97 enodes)
11.106 * * [simplify]: iteration 2: (388 enodes)
11.199 * * [simplify]: iteration 3: (686 enodes)
11.527 * * [simplify]: iteration 4: (1748 enodes)
13.090 * * [simplify]: Extracting #0: cost 40 inf + 0
13.091 * * [simplify]: Extracting #1: cost 255 inf + 2
13.099 * * [simplify]: Extracting #2: cost 756 inf + 2661
13.125 * * [simplify]: Extracting #3: cost 527 inf + 47899
13.190 * * [simplify]: Extracting #4: cost 67 inf + 126350
13.277 * * [simplify]: Extracting #5: cost 4 inf + 139740
13.706 * * [simplify]: Extracting #6: cost 0 inf + 140712
13.792 * [simplify]: Simplified to (expm1 (- (hypot re im) re)), (log1p (- (hypot re im) re)), (hypot re im), (log (- (hypot re im) re)), (exp (- (hypot re im) re)), (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))), (cbrt (- (hypot re im) re)), (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re))), (sqrt (- (hypot re im) re)), (sqrt (- (hypot re im) re)), (real->posit16 (- (hypot re im) re)), (expm1 (sqrt (* (- (hypot re im) re) 2.0))), (log1p (sqrt (* (- (hypot re im) re) 2.0))), (log (sqrt (* (- (hypot re im) re) 2.0))), (exp (sqrt (* (- (hypot re im) re) 2.0))), (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))), (cbrt (sqrt (* (- (hypot re im) re) 2.0))), (* (sqrt (* (- (hypot re im) re) 2.0)) (* (- (hypot re im) re) 2.0)), (sqrt (- (hypot re im) re)), (sqrt 2.0), 1/2, 1/2, (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (sqrt (sqrt (* (- (hypot re im) re) 2.0))), (real->posit16 (sqrt (* (- (hypot re im) re) 2.0))), (expm1 (sqrt (hypot re im))), (log1p (sqrt (hypot re im))), (log (sqrt (hypot re im))), (exp (sqrt (hypot re im))), (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))), (cbrt (sqrt (hypot re im))), (* (hypot re im) (sqrt (hypot re im))), (fabs (cbrt (hypot re im))), (sqrt (cbrt (hypot re im))), (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), 1, (sqrt (hypot re im)), 1/2, (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), (real->posit16 (sqrt (hypot re im))), (expm1 (sqrt (hypot re im))), (log1p (sqrt (hypot re im))), (log (sqrt (hypot re im))), (exp (sqrt (hypot re im))), (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))), (cbrt (sqrt (hypot re im))), (* (hypot re im) (sqrt (hypot re im))), (fabs (cbrt (hypot re im))), (sqrt (cbrt (hypot re im))), (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), 1, (sqrt (hypot re im)), 1/2, (sqrt (sqrt (hypot re im))), (sqrt (sqrt (hypot re im))), (real->posit16 (sqrt (hypot re im))), (- im re), (- (- (/ +nan.0 (* (/ re im) (/ re im))) +nan.0) re), (- (- (/ +nan.0 (* (/ re im) (/ re im))) +nan.0) re), (- (* (* +nan.0 (* im (sqrt 2.0))) (- im re)) (* +nan.0 (* im (sqrt 2.0)))), (* (- (- (/ (sqrt 2.0) re) (/ (/ (sqrt 2.0) re) re)) (sqrt 2.0)) +nan.0), (* (- (- (/ (sqrt 2.0) re) (/ (/ (sqrt 2.0) re) re)) (sqrt 2.0)) +nan.0), (* +nan.0 (- (- (* re re) im) (* im im))), (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re)), (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re)), (* +nan.0 (- (- (* re re) im) (* im im))), (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re)), (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re))
13.797 * * * [progress]: adding candidates to table
14.582 * [progress]: [Phase 3 of 3] Extracting.
14.582 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (cbrt (* (hypot re im) (sqrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))>)
14.586 * * * [regime-changes]: Trying 2 branch expressions: (im re)
14.586 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (cbrt (* (hypot re im) (sqrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))>)
14.659 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (cbrt (* (hypot re im) (sqrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))>)
14.767 * * * [regime]: Found split indices: #<option (#s(si 8 255))>
14.768 * [simplify]: Simplifying (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
14.768 * * [simplify]: iteration 1: (9 enodes)
14.769 * * [simplify]: iteration 2: (11 enodes)
14.770 * * [simplify]: Extracting #0: cost 1 inf + 0
14.770 * * [simplify]: Extracting #1: cost 3 inf + 0
14.770 * * [simplify]: Extracting #2: cost 3 inf + 1
14.770 * * [simplify]: Extracting #3: cost 5 inf + 1
14.770 * * [simplify]: Extracting #4: cost 6 inf + 2
14.770 * * [simplify]: Extracting #5: cost 6 inf + 3
14.770 * * [simplify]: Extracting #6: cost 0 inf + 693
14.771 * [simplify]: Simplified to (* (sqrt (* (- (hypot re im) re) 2.0)) 0.5)
18.850 * [regime-testing]: Baseline error score: 13.379115990807655
18.852 * [regime-testing]: Oracle error score: 13.151248656415957
18.857 * [regime-testing]: End program error score: 13.379115990807655