0.790 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.083 * * * [progress]: [2/2] Setting up program.
0.090 * [progress]: [Phase 2 of 3] Improving.
0.092 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.229 * * [simplify]: iteration 0: 12 enodes
0.247 * * [simplify]: iteration 1: 19 enodes
0.254 * * [simplify]: iteration 2: 27 enodes
0.264 * * [simplify]: iteration 3: 35 enodes
0.314 * * [simplify]: iteration 4: 42 enodes
0.332 * * [simplify]: iteration 5: 44 enodes
0.344 * * [simplify]: iteration complete: 44 enodes
0.344 * * [simplify]: Extracting #0: cost 1 inf + 0
0.344 * * [simplify]: Extracting #1: cost 3 inf + 0
0.345 * * [simplify]: Extracting #2: cost 3 inf + 1
0.345 * * [simplify]: Extracting #3: cost 12 inf + 1
0.345 * * [simplify]: Extracting #4: cost 10 inf + 85
0.345 * * [simplify]: Extracting #5: cost 7 inf + 460
0.346 * * [simplify]: Extracting #6: cost 1 inf + 1189
0.346 * * [simplify]: Extracting #7: cost 0 inf + 1176
0.347 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
0.356 * * [progress]: iteration 1 / 4
0.357 * * * [progress]: picking best candidate
0.366 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
0.366 * * * [progress]: localizing error
0.393 * * * [progress]: generating rewritten candidates
0.393 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1)
0.410 * * * [progress]: generating series expansions
0.411 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1)
0.416 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
0.416 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
0.417 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.418 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.419 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.419 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.419 * [taylor]: Taking taylor expansion of (* re re) in im
0.419 * [taylor]: Taking taylor expansion of re in im
0.420 * [backup-simplify]: Simplify re into re
0.420 * [taylor]: Taking taylor expansion of re in im
0.420 * [backup-simplify]: Simplify re into re
0.420 * [taylor]: Taking taylor expansion of (* im im) in im
0.420 * [taylor]: Taking taylor expansion of im in im
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [taylor]: Taking taylor expansion of im in im
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.423 * [backup-simplify]: Simplify (* 0 0) into 0
0.424 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.424 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.424 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.425 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.426 * [taylor]: Taking taylor expansion of re in im
0.426 * [backup-simplify]: Simplify re into re
0.426 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.426 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.426 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.426 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.426 * [taylor]: Taking taylor expansion of (* re re) in re
0.426 * [taylor]: Taking taylor expansion of re in re
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [taylor]: Taking taylor expansion of re in re
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [taylor]: Taking taylor expansion of (* im im) in re
0.426 * [taylor]: Taking taylor expansion of im in re
0.426 * [backup-simplify]: Simplify im into im
0.426 * [taylor]: Taking taylor expansion of im in re
0.426 * [backup-simplify]: Simplify im into im
0.426 * [backup-simplify]: Simplify (* 0 0) into 0
0.427 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.427 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.427 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.428 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.428 * [taylor]: Taking taylor expansion of re in re
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 1 into 1
0.428 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.428 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.429 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.429 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.429 * [taylor]: Taking taylor expansion of (* re re) in re
0.429 * [taylor]: Taking taylor expansion of re in re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [taylor]: Taking taylor expansion of re in re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [taylor]: Taking taylor expansion of (* im im) in re
0.429 * [taylor]: Taking taylor expansion of im in re
0.429 * [backup-simplify]: Simplify im into im
0.429 * [taylor]: Taking taylor expansion of im in re
0.429 * [backup-simplify]: Simplify im into im
0.429 * [backup-simplify]: Simplify (* 0 0) into 0
0.430 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.430 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.430 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.433 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.434 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.434 * [taylor]: Taking taylor expansion of re in re
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (- 0) into 0
0.449 * [backup-simplify]: Simplify (+ im 0) into im
0.449 * [taylor]: Taking taylor expansion of im in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (- 1) into -1
0.450 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.450 * [taylor]: Taking taylor expansion of -1 in im
0.450 * [backup-simplify]: Simplify -1 into -1
0.450 * [backup-simplify]: Simplify -1 into -1
0.451 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.453 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.453 * [backup-simplify]: Simplify (+ 1 0) into 1
0.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.455 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.455 * [taylor]: Taking taylor expansion of 1/2 in im
0.455 * [backup-simplify]: Simplify 1/2 into 1/2
0.455 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.455 * [taylor]: Taking taylor expansion of im in im
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (/ 1 1) into 1
0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.460 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.461 * [backup-simplify]: Simplify (- 0) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [taylor]: Taking taylor expansion of 0 in im
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.464 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.464 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.464 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.464 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.465 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.465 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.465 * [taylor]: Taking taylor expansion of re in im
0.465 * [backup-simplify]: Simplify re into re
0.465 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.465 * [taylor]: Taking taylor expansion of re in im
0.465 * [backup-simplify]: Simplify re into re
0.465 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.465 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.465 * [taylor]: Taking taylor expansion of im in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.466 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.466 * [taylor]: Taking taylor expansion of im in im
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.467 * [backup-simplify]: Simplify (* 1 1) into 1
0.467 * [backup-simplify]: Simplify (+ 0 1) into 1
0.468 * [backup-simplify]: Simplify (sqrt 1) into 1
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.470 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.471 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.471 * [taylor]: Taking taylor expansion of re in im
0.471 * [backup-simplify]: Simplify re into re
0.471 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.471 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.471 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.472 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.472 * [taylor]: Taking taylor expansion of re in re
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.473 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.473 * [taylor]: Taking taylor expansion of im in re
0.473 * [backup-simplify]: Simplify im into im
0.473 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.473 * [taylor]: Taking taylor expansion of im in re
0.473 * [backup-simplify]: Simplify im into im
0.474 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.474 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (+ 1 0) into 1
0.475 * [backup-simplify]: Simplify (sqrt 1) into 1
0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.478 * [taylor]: Taking taylor expansion of re in re
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (/ 1 1) into 1
0.478 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.478 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.479 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.479 * [taylor]: Taking taylor expansion of re in re
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.479 * [taylor]: Taking taylor expansion of re in re
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (/ 1 1) into 1
0.480 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.480 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.480 * [taylor]: Taking taylor expansion of im in re
0.480 * [backup-simplify]: Simplify im into im
0.480 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.480 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.480 * [taylor]: Taking taylor expansion of im in re
0.480 * [backup-simplify]: Simplify im into im
0.480 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (+ 1 0) into 1
0.481 * [backup-simplify]: Simplify (sqrt 1) into 1
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.485 * [taylor]: Taking taylor expansion of re in re
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [backup-simplify]: Simplify (- 1) into -1
0.486 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.486 * [taylor]: Taking taylor expansion of 0 in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (- 0) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [taylor]: Taking taylor expansion of 0 in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.491 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.493 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (- 0) into 0
0.494 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.494 * [taylor]: Taking taylor expansion of 1/2 in im
0.494 * [backup-simplify]: Simplify 1/2 into 1/2
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.495 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.495 * [taylor]: Taking taylor expansion of im in im
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (* 1 1) into 1
0.496 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [taylor]: Taking taylor expansion of 0 in im
0.506 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.510 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.510 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.510 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.510 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.510 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.510 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.511 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.511 * [taylor]: Taking taylor expansion of -1 in im
0.511 * [backup-simplify]: Simplify -1 into -1
0.511 * [taylor]: Taking taylor expansion of re in im
0.511 * [backup-simplify]: Simplify re into re
0.511 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.511 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.511 * [taylor]: Taking taylor expansion of -1 in im
0.511 * [backup-simplify]: Simplify -1 into -1
0.511 * [taylor]: Taking taylor expansion of re in im
0.511 * [backup-simplify]: Simplify re into re
0.511 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.511 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.511 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.511 * [taylor]: Taking taylor expansion of -1 in im
0.511 * [backup-simplify]: Simplify -1 into -1
0.511 * [taylor]: Taking taylor expansion of im in im
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (/ -1 1) into -1
0.512 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.512 * [taylor]: Taking taylor expansion of -1 in im
0.512 * [backup-simplify]: Simplify -1 into -1
0.512 * [taylor]: Taking taylor expansion of im in im
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (/ -1 1) into -1
0.514 * [backup-simplify]: Simplify (* -1 -1) into 1
0.514 * [backup-simplify]: Simplify (+ 0 1) into 1
0.515 * [backup-simplify]: Simplify (sqrt 1) into 1
0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.519 * [taylor]: Taking taylor expansion of re in im
0.519 * [backup-simplify]: Simplify re into re
0.519 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.519 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.519 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.519 * [taylor]: Taking taylor expansion of -1 in re
0.519 * [backup-simplify]: Simplify -1 into -1
0.519 * [taylor]: Taking taylor expansion of re in re
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ -1 1) into -1
0.520 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.520 * [taylor]: Taking taylor expansion of -1 in re
0.520 * [backup-simplify]: Simplify -1 into -1
0.520 * [taylor]: Taking taylor expansion of re in re
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (/ -1 1) into -1
0.521 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.521 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.521 * [taylor]: Taking taylor expansion of -1 in re
0.521 * [backup-simplify]: Simplify -1 into -1
0.521 * [taylor]: Taking taylor expansion of im in re
0.521 * [backup-simplify]: Simplify im into im
0.521 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.521 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.521 * [taylor]: Taking taylor expansion of -1 in re
0.521 * [backup-simplify]: Simplify -1 into -1
0.521 * [taylor]: Taking taylor expansion of im in re
0.521 * [backup-simplify]: Simplify im into im
0.521 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.521 * [backup-simplify]: Simplify (* -1 -1) into 1
0.522 * [backup-simplify]: Simplify (+ 1 0) into 1
0.522 * [backup-simplify]: Simplify (sqrt 1) into 1
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.526 * [taylor]: Taking taylor expansion of re in re
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.527 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.527 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.527 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.527 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.527 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.527 * [taylor]: Taking taylor expansion of -1 in re
0.527 * [backup-simplify]: Simplify -1 into -1
0.527 * [taylor]: Taking taylor expansion of re in re
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (/ -1 1) into -1
0.528 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.528 * [taylor]: Taking taylor expansion of -1 in re
0.528 * [backup-simplify]: Simplify -1 into -1
0.528 * [taylor]: Taking taylor expansion of re in re
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (/ -1 1) into -1
0.529 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.529 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.529 * [taylor]: Taking taylor expansion of -1 in re
0.529 * [backup-simplify]: Simplify -1 into -1
0.529 * [taylor]: Taking taylor expansion of im in re
0.529 * [backup-simplify]: Simplify im into im
0.529 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.529 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.529 * [taylor]: Taking taylor expansion of -1 in re
0.529 * [backup-simplify]: Simplify -1 into -1
0.529 * [taylor]: Taking taylor expansion of im in re
0.529 * [backup-simplify]: Simplify im into im
0.529 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.529 * [backup-simplify]: Simplify (* -1 -1) into 1
0.530 * [backup-simplify]: Simplify (+ 1 0) into 1
0.530 * [backup-simplify]: Simplify (sqrt 1) into 1
0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.532 * [taylor]: Taking taylor expansion of re in re
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [backup-simplify]: Simplify (+ 1 1) into 2
0.533 * [taylor]: Taking taylor expansion of 2 in im
0.533 * [backup-simplify]: Simplify 2 into 2
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ 0 0) into 0
0.534 * [taylor]: Taking taylor expansion of 0 in im
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 2 into 2
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.536 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.536 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.536 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.537 * [taylor]: Taking taylor expansion of 1/2 in im
0.537 * [backup-simplify]: Simplify 1/2 into 1/2
0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.537 * [taylor]: Taking taylor expansion of (pow im 2) 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
0.538 * [backup-simplify]: Simplify (* 1 1) into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.541 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.541 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [taylor]: Taking taylor expansion of 0 in im
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.545 * * * [progress]: simplifying candidates
0.546 * [simplify]: Simplifying:
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma 1 (hypot re im) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (/ (exp (hypot re im)) (exp re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (- im re)
  0
  (* -2 re)
0.546 * * [simplify]: iteration 0: 61 enodes
0.562 * * [simplify]: iteration 1: 130 enodes
0.625 * * [simplify]: iteration 2: 237 enodes
0.746 * * [simplify]: iteration 3: 619 enodes
1.189 * * [simplify]: iteration 4: 1349 enodes
2.421 * * [simplify]: iteration 5: 3569 enodes
3.756 * * [simplify]: iteration complete: 5115 enodes
3.756 * * [simplify]: Extracting #0: cost 20 inf + 0
3.757 * * [simplify]: Extracting #1: cost 314 inf + 1
3.760 * * [simplify]: Extracting #2: cost 637 inf + 212
3.768 * * [simplify]: Extracting #3: cost 597 inf + 28115
3.806 * * [simplify]: Extracting #4: cost 398 inf + 106467
3.890 * * [simplify]: Extracting #5: cost 75 inf + 256860
3.966 * * [simplify]: Extracting #6: cost 1 inf + 295136
4.041 * * [simplify]: Extracting #7: cost 0 inf + 295578
4.119 * [simplify]: Simplified to:
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re)))
  (fma (hypot re im) (hypot re im) (* re (+ re (hypot re im))))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (- im re)
  0
  (* re -2)
4.121 * * * [progress]: adding candidates to table
4.298 * * [progress]: iteration 2 / 4
4.298 * * * [progress]: picking best candidate
4.325 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))>
4.326 * * * [progress]: localizing error
4.358 * * * [progress]: generating rewritten candidates
4.358 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
4.426 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2 1)
4.436 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1 1)
4.455 * * * [progress]: generating series expansions
4.455 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
4.455 * [backup-simplify]: Simplify (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) into (- (hypot re im) re)
4.455 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
4.455 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
4.455 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.455 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.455 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.455 * [taylor]: Taking taylor expansion of (* re re) in im
4.455 * [taylor]: Taking taylor expansion of re in im
4.456 * [backup-simplify]: Simplify re into re
4.456 * [taylor]: Taking taylor expansion of re in im
4.456 * [backup-simplify]: Simplify re into re
4.456 * [taylor]: Taking taylor expansion of (* im im) in im
4.456 * [taylor]: Taking taylor expansion of im in im
4.456 * [backup-simplify]: Simplify 0 into 0
4.456 * [backup-simplify]: Simplify 1 into 1
4.456 * [taylor]: Taking taylor expansion of im in im
4.456 * [backup-simplify]: Simplify 0 into 0
4.456 * [backup-simplify]: Simplify 1 into 1
4.456 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.456 * [backup-simplify]: Simplify (* 0 0) into 0
4.457 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.457 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.457 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.458 * [backup-simplify]: Simplify (+ 0 0) into 0
4.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.458 * [taylor]: Taking taylor expansion of re in im
4.458 * [backup-simplify]: Simplify re into re
4.458 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.458 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.458 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.458 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.458 * [taylor]: Taking taylor expansion of (* re re) in re
4.458 * [taylor]: Taking taylor expansion of re in re
4.458 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify 1 into 1
4.458 * [taylor]: Taking taylor expansion of re in re
4.458 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify 1 into 1
4.458 * [taylor]: Taking taylor expansion of (* im im) in re
4.459 * [taylor]: Taking taylor expansion of im in re
4.459 * [backup-simplify]: Simplify im into im
4.459 * [taylor]: Taking taylor expansion of im in re
4.459 * [backup-simplify]: Simplify im into im
4.459 * [backup-simplify]: Simplify (* 0 0) into 0
4.459 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.459 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.459 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.460 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.460 * [backup-simplify]: Simplify (+ 0 0) into 0
4.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.461 * [taylor]: Taking taylor expansion of re in re
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 1 into 1
4.461 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.461 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.461 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.461 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.461 * [taylor]: Taking taylor expansion of (* re re) in re
4.461 * [taylor]: Taking taylor expansion of re in re
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 1 into 1
4.461 * [taylor]: Taking taylor expansion of re in re
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 1 into 1
4.461 * [taylor]: Taking taylor expansion of (* im im) in re
4.461 * [taylor]: Taking taylor expansion of im in re
4.461 * [backup-simplify]: Simplify im into im
4.461 * [taylor]: Taking taylor expansion of im in re
4.461 * [backup-simplify]: Simplify im into im
4.462 * [backup-simplify]: Simplify (* 0 0) into 0
4.462 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.462 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.462 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.463 * [backup-simplify]: Simplify (+ 0 0) into 0
4.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.464 * [taylor]: Taking taylor expansion of re in re
4.464 * [backup-simplify]: Simplify 0 into 0
4.464 * [backup-simplify]: Simplify 1 into 1
4.464 * [backup-simplify]: Simplify (- 0) into 0
4.464 * [backup-simplify]: Simplify (+ im 0) into im
4.464 * [taylor]: Taking taylor expansion of im in im
4.464 * [backup-simplify]: Simplify 0 into 0
4.464 * [backup-simplify]: Simplify 1 into 1
4.464 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify (- 1) into -1
4.465 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.465 * [taylor]: Taking taylor expansion of -1 in im
4.465 * [backup-simplify]: Simplify -1 into -1
4.465 * [backup-simplify]: Simplify -1 into -1
4.465 * [backup-simplify]: Simplify 1 into 1
4.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.466 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.467 * [backup-simplify]: Simplify (+ 1 0) into 1
4.468 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.468 * [backup-simplify]: Simplify (- 0) into 0
4.468 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.468 * [taylor]: Taking taylor expansion of 1/2 in im
4.468 * [backup-simplify]: Simplify 1/2 into 1/2
4.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.468 * [taylor]: Taking taylor expansion of im in im
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 1 into 1
4.469 * [backup-simplify]: Simplify (/ 1 1) into 1
4.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.472 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.472 * [backup-simplify]: Simplify (+ 0 0) into 0
4.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.473 * [backup-simplify]: Simplify (- 0) into 0
4.473 * [backup-simplify]: Simplify (+ 0 0) into 0
4.473 * [taylor]: Taking taylor expansion of 0 in im
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 0 into 0
4.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.476 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
4.476 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
4.476 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
4.476 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.476 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.476 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.476 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.476 * [taylor]: Taking taylor expansion of re in im
4.476 * [backup-simplify]: Simplify re into re
4.476 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.476 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.477 * [taylor]: Taking taylor expansion of re in im
4.477 * [backup-simplify]: Simplify re into re
4.477 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.477 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.477 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.477 * [taylor]: Taking taylor expansion of im in im
4.477 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify 1 into 1
4.477 * [backup-simplify]: Simplify (/ 1 1) into 1
4.477 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.477 * [taylor]: Taking taylor expansion of im in im
4.477 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify 1 into 1
4.478 * [backup-simplify]: Simplify (/ 1 1) into 1
4.478 * [backup-simplify]: Simplify (* 1 1) into 1
4.478 * [backup-simplify]: Simplify (+ 0 1) into 1
4.479 * [backup-simplify]: Simplify (sqrt 1) into 1
4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.481 * [backup-simplify]: Simplify (+ 0 0) into 0
4.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.482 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.482 * [taylor]: Taking taylor expansion of re in im
4.482 * [backup-simplify]: Simplify re into re
4.482 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.482 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.482 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.482 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.483 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.483 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.483 * [taylor]: Taking taylor expansion of re in re
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify 1 into 1
4.483 * [backup-simplify]: Simplify (/ 1 1) into 1
4.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.483 * [taylor]: Taking taylor expansion of re in re
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify 1 into 1
4.484 * [backup-simplify]: Simplify (/ 1 1) into 1
4.484 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.484 * [taylor]: Taking taylor expansion of im in re
4.484 * [backup-simplify]: Simplify im into im
4.484 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.484 * [taylor]: Taking taylor expansion of im in re
4.484 * [backup-simplify]: Simplify im into im
4.484 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.484 * [backup-simplify]: Simplify (* 1 1) into 1
4.485 * [backup-simplify]: Simplify (+ 1 0) into 1
4.485 * [backup-simplify]: Simplify (sqrt 1) into 1
4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.488 * [backup-simplify]: Simplify (+ 0 0) into 0
4.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.489 * [taylor]: Taking taylor expansion of re in re
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (/ 1 1) into 1
4.489 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.489 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.489 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.490 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.490 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.490 * [taylor]: Taking taylor expansion of re in re
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 1 into 1
4.490 * [backup-simplify]: Simplify (/ 1 1) into 1
4.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.490 * [taylor]: Taking taylor expansion of re in re
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (/ 1 1) into 1
4.491 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.491 * [taylor]: Taking taylor expansion of im in re
4.491 * [backup-simplify]: Simplify im into im
4.491 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.491 * [taylor]: Taking taylor expansion of im in re
4.491 * [backup-simplify]: Simplify im into im
4.491 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.491 * [backup-simplify]: Simplify (* 1 1) into 1
4.492 * [backup-simplify]: Simplify (+ 1 0) into 1
4.492 * [backup-simplify]: Simplify (sqrt 1) into 1
4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.494 * [backup-simplify]: Simplify (+ 0 0) into 0
4.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.494 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.494 * [taylor]: Taking taylor expansion of re in re
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 1 into 1
4.495 * [backup-simplify]: Simplify (/ 1 1) into 1
4.495 * [backup-simplify]: Simplify (- 1) into -1
4.495 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.495 * [taylor]: Taking taylor expansion of 0 in im
4.495 * [backup-simplify]: Simplify 0 into 0
4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.496 * [backup-simplify]: Simplify (- 0) into 0
4.496 * [backup-simplify]: Simplify (+ 0 0) into 0
4.496 * [taylor]: Taking taylor expansion of 0 in im
4.496 * [backup-simplify]: Simplify 0 into 0
4.496 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.498 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.498 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.500 * [backup-simplify]: Simplify (- 0) into 0
4.500 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.500 * [taylor]: Taking taylor expansion of 1/2 in im
4.500 * [backup-simplify]: Simplify 1/2 into 1/2
4.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.500 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.500 * [taylor]: Taking taylor expansion of im in im
4.500 * [backup-simplify]: Simplify 0 into 0
4.500 * [backup-simplify]: Simplify 1 into 1
4.500 * [backup-simplify]: Simplify (* 1 1) into 1
4.501 * [backup-simplify]: Simplify (/ 1 1) into 1
4.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.506 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.507 * [backup-simplify]: Simplify (+ 0 0) into 0
4.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.508 * [backup-simplify]: Simplify (- 0) into 0
4.508 * [backup-simplify]: Simplify (+ 0 0) into 0
4.508 * [taylor]: Taking taylor expansion of 0 in im
4.508 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.510 * [backup-simplify]: Simplify 0 into 0
4.510 * [backup-simplify]: Simplify 0 into 0
4.510 * [backup-simplify]: Simplify 0 into 0
4.510 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
4.510 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
4.510 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
4.510 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.510 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.510 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.510 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.510 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.510 * [taylor]: Taking taylor expansion of -1 in im
4.510 * [backup-simplify]: Simplify -1 into -1
4.510 * [taylor]: Taking taylor expansion of re in im
4.510 * [backup-simplify]: Simplify re into re
4.510 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.510 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.510 * [taylor]: Taking taylor expansion of -1 in im
4.510 * [backup-simplify]: Simplify -1 into -1
4.510 * [taylor]: Taking taylor expansion of re in im
4.510 * [backup-simplify]: Simplify re into re
4.511 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.511 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.511 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.511 * [taylor]: Taking taylor expansion of -1 in im
4.511 * [backup-simplify]: Simplify -1 into -1
4.511 * [taylor]: Taking taylor expansion of im in im
4.511 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify 1 into 1
4.511 * [backup-simplify]: Simplify (/ -1 1) into -1
4.511 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.511 * [taylor]: Taking taylor expansion of -1 in im
4.511 * [backup-simplify]: Simplify -1 into -1
4.511 * [taylor]: Taking taylor expansion of im in im
4.511 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify 1 into 1
4.511 * [backup-simplify]: Simplify (/ -1 1) into -1
4.512 * [backup-simplify]: Simplify (* -1 -1) into 1
4.512 * [backup-simplify]: Simplify (+ 0 1) into 1
4.512 * [backup-simplify]: Simplify (sqrt 1) into 1
4.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.513 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.514 * [backup-simplify]: Simplify (+ 0 0) into 0
4.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.514 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.514 * [taylor]: Taking taylor expansion of re in im
4.514 * [backup-simplify]: Simplify re into re
4.514 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.514 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.514 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.514 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.514 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.514 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.514 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.514 * [taylor]: Taking taylor expansion of -1 in re
4.514 * [backup-simplify]: Simplify -1 into -1
4.514 * [taylor]: Taking taylor expansion of re in re
4.514 * [backup-simplify]: Simplify 0 into 0
4.514 * [backup-simplify]: Simplify 1 into 1
4.515 * [backup-simplify]: Simplify (/ -1 1) into -1
4.515 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.515 * [taylor]: Taking taylor expansion of -1 in re
4.515 * [backup-simplify]: Simplify -1 into -1
4.515 * [taylor]: Taking taylor expansion of re in re
4.515 * [backup-simplify]: Simplify 0 into 0
4.515 * [backup-simplify]: Simplify 1 into 1
4.515 * [backup-simplify]: Simplify (/ -1 1) into -1
4.515 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.515 * [taylor]: Taking taylor expansion of -1 in re
4.515 * [backup-simplify]: Simplify -1 into -1
4.515 * [taylor]: Taking taylor expansion of im in re
4.515 * [backup-simplify]: Simplify im into im
4.515 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.515 * [taylor]: Taking taylor expansion of -1 in re
4.515 * [backup-simplify]: Simplify -1 into -1
4.515 * [taylor]: Taking taylor expansion of im in re
4.515 * [backup-simplify]: Simplify im into im
4.515 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.516 * [backup-simplify]: Simplify (* -1 -1) into 1
4.516 * [backup-simplify]: Simplify (+ 1 0) into 1
4.516 * [backup-simplify]: Simplify (sqrt 1) into 1
4.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.518 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.518 * [backup-simplify]: Simplify (+ 0 0) into 0
4.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.518 * [taylor]: Taking taylor expansion of re in re
4.518 * [backup-simplify]: Simplify 0 into 0
4.518 * [backup-simplify]: Simplify 1 into 1
4.519 * [backup-simplify]: Simplify (/ 1 1) into 1
4.519 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.519 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.519 * [taylor]: Taking taylor expansion of -1 in re
4.519 * [backup-simplify]: Simplify -1 into -1
4.519 * [taylor]: Taking taylor expansion of re in re
4.519 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify 1 into 1
4.519 * [backup-simplify]: Simplify (/ -1 1) into -1
4.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.519 * [taylor]: Taking taylor expansion of -1 in re
4.519 * [backup-simplify]: Simplify -1 into -1
4.519 * [taylor]: Taking taylor expansion of re in re
4.519 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify 1 into 1
4.519 * [backup-simplify]: Simplify (/ -1 1) into -1
4.519 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.520 * [taylor]: Taking taylor expansion of -1 in re
4.520 * [backup-simplify]: Simplify -1 into -1
4.520 * [taylor]: Taking taylor expansion of im in re
4.520 * [backup-simplify]: Simplify im into im
4.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.520 * [taylor]: Taking taylor expansion of -1 in re
4.520 * [backup-simplify]: Simplify -1 into -1
4.520 * [taylor]: Taking taylor expansion of im in re
4.520 * [backup-simplify]: Simplify im into im
4.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.520 * [backup-simplify]: Simplify (* -1 -1) into 1
4.520 * [backup-simplify]: Simplify (+ 1 0) into 1
4.520 * [backup-simplify]: Simplify (sqrt 1) into 1
4.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.523 * [backup-simplify]: Simplify (+ 0 0) into 0
4.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.524 * [taylor]: Taking taylor expansion of re in re
4.524 * [backup-simplify]: Simplify 0 into 0
4.524 * [backup-simplify]: Simplify 1 into 1
4.524 * [backup-simplify]: Simplify (/ 1 1) into 1
4.525 * [backup-simplify]: Simplify (+ 1 1) into 2
4.525 * [taylor]: Taking taylor expansion of 2 in im
4.525 * [backup-simplify]: Simplify 2 into 2
4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.526 * [backup-simplify]: Simplify (+ 0 0) into 0
4.526 * [taylor]: Taking taylor expansion of 0 in im
4.526 * [backup-simplify]: Simplify 0 into 0
4.526 * [backup-simplify]: Simplify 2 into 2
4.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.529 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.530 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.530 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.532 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.532 * [taylor]: Taking taylor expansion of 1/2 in im
4.532 * [backup-simplify]: Simplify 1/2 into 1/2
4.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.532 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.532 * [taylor]: Taking taylor expansion of im in im
4.532 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify 1 into 1
4.533 * [backup-simplify]: Simplify (* 1 1) into 1
4.533 * [backup-simplify]: Simplify (/ 1 1) into 1
4.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.539 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.539 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.539 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.539 * [backup-simplify]: Simplify (+ 0 0) into 0
4.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.542 * [backup-simplify]: Simplify (+ 0 0) into 0
4.542 * [taylor]: Taking taylor expansion of 0 in im
4.542 * [backup-simplify]: Simplify 0 into 0
4.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.545 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2 1)
4.545 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
4.545 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
4.545 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
4.545 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.545 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.545 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.545 * [taylor]: Taking taylor expansion of (* re re) in im
4.545 * [taylor]: Taking taylor expansion of re in im
4.545 * [backup-simplify]: Simplify re into re
4.545 * [taylor]: Taking taylor expansion of re in im
4.545 * [backup-simplify]: Simplify re into re
4.546 * [taylor]: Taking taylor expansion of (* im im) in im
4.546 * [taylor]: Taking taylor expansion of im in im
4.546 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify 1 into 1
4.546 * [taylor]: Taking taylor expansion of im in im
4.546 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify 1 into 1
4.546 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.546 * [backup-simplify]: Simplify (* 0 0) into 0
4.546 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.547 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.547 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.547 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.548 * [backup-simplify]: Simplify (+ 0 0) into 0
4.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.548 * [taylor]: Taking taylor expansion of re in im
4.548 * [backup-simplify]: Simplify re into re
4.548 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.548 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.548 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.548 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.548 * [taylor]: Taking taylor expansion of (* re re) in re
4.548 * [taylor]: Taking taylor expansion of re in re
4.548 * [backup-simplify]: Simplify 0 into 0
4.549 * [backup-simplify]: Simplify 1 into 1
4.549 * [taylor]: Taking taylor expansion of re in re
4.549 * [backup-simplify]: Simplify 0 into 0
4.549 * [backup-simplify]: Simplify 1 into 1
4.549 * [taylor]: Taking taylor expansion of (* im im) in re
4.549 * [taylor]: Taking taylor expansion of im in re
4.549 * [backup-simplify]: Simplify im into im
4.549 * [taylor]: Taking taylor expansion of im in re
4.549 * [backup-simplify]: Simplify im into im
4.549 * [backup-simplify]: Simplify (* 0 0) into 0
4.549 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.549 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.550 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.550 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.550 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.551 * [backup-simplify]: Simplify (+ 0 0) into 0
4.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.551 * [taylor]: Taking taylor expansion of re in re
4.551 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify 1 into 1
4.551 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.551 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.551 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.551 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.551 * [taylor]: Taking taylor expansion of (* re re) in re
4.551 * [taylor]: Taking taylor expansion of re in re
4.551 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify 1 into 1
4.551 * [taylor]: Taking taylor expansion of re in re
4.551 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify 1 into 1
4.551 * [taylor]: Taking taylor expansion of (* im im) in re
4.551 * [taylor]: Taking taylor expansion of im in re
4.551 * [backup-simplify]: Simplify im into im
4.551 * [taylor]: Taking taylor expansion of im in re
4.551 * [backup-simplify]: Simplify im into im
4.552 * [backup-simplify]: Simplify (* 0 0) into 0
4.552 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.552 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.552 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.553 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.553 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.553 * [backup-simplify]: Simplify (+ 0 0) into 0
4.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.554 * [taylor]: Taking taylor expansion of re in re
4.554 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify 1 into 1
4.554 * [backup-simplify]: Simplify (- 0) into 0
4.554 * [backup-simplify]: Simplify (+ im 0) into im
4.554 * [taylor]: Taking taylor expansion of im in im
4.554 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify 1 into 1
4.554 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify (- 1) into -1
4.555 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.555 * [taylor]: Taking taylor expansion of -1 in im
4.555 * [backup-simplify]: Simplify -1 into -1
4.555 * [backup-simplify]: Simplify -1 into -1
4.555 * [backup-simplify]: Simplify 1 into 1
4.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.556 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.557 * [backup-simplify]: Simplify (+ 1 0) into 1
4.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.558 * [backup-simplify]: Simplify (- 0) into 0
4.558 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.558 * [taylor]: Taking taylor expansion of 1/2 in im
4.558 * [backup-simplify]: Simplify 1/2 into 1/2
4.558 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.558 * [taylor]: Taking taylor expansion of im in im
4.558 * [backup-simplify]: Simplify 0 into 0
4.558 * [backup-simplify]: Simplify 1 into 1
4.559 * [backup-simplify]: Simplify (/ 1 1) into 1
4.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.562 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.562 * [backup-simplify]: Simplify (+ 0 0) into 0
4.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.563 * [backup-simplify]: Simplify (- 0) into 0
4.563 * [backup-simplify]: Simplify (+ 0 0) into 0
4.563 * [taylor]: Taking taylor expansion of 0 in im
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.565 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.566 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
4.566 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
4.566 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
4.566 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.566 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.566 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.566 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.566 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.566 * [taylor]: Taking taylor expansion of re in im
4.566 * [backup-simplify]: Simplify re into re
4.566 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.566 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.566 * [taylor]: Taking taylor expansion of re in im
4.566 * [backup-simplify]: Simplify re into re
4.566 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.566 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.566 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.566 * [taylor]: Taking taylor expansion of im in im
4.566 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify 1 into 1
4.567 * [backup-simplify]: Simplify (/ 1 1) into 1
4.567 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.567 * [taylor]: Taking taylor expansion of im in im
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify 1 into 1
4.567 * [backup-simplify]: Simplify (/ 1 1) into 1
4.568 * [backup-simplify]: Simplify (* 1 1) into 1
4.568 * [backup-simplify]: Simplify (+ 0 1) into 1
4.569 * [backup-simplify]: Simplify (sqrt 1) into 1
4.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.571 * [backup-simplify]: Simplify (+ 0 0) into 0
4.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.572 * [taylor]: Taking taylor expansion of re in im
4.572 * [backup-simplify]: Simplify re into re
4.572 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.572 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.572 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.572 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.572 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.572 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.572 * [taylor]: Taking taylor expansion of re in re
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 1 into 1
4.573 * [backup-simplify]: Simplify (/ 1 1) into 1
4.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.573 * [taylor]: Taking taylor expansion of re in re
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 1 into 1
4.573 * [backup-simplify]: Simplify (/ 1 1) into 1
4.573 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.573 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.573 * [taylor]: Taking taylor expansion of im in re
4.573 * [backup-simplify]: Simplify im into im
4.573 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.573 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.573 * [taylor]: Taking taylor expansion of im in re
4.573 * [backup-simplify]: Simplify im into im
4.574 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.574 * [backup-simplify]: Simplify (* 1 1) into 1
4.574 * [backup-simplify]: Simplify (+ 1 0) into 1
4.575 * [backup-simplify]: Simplify (sqrt 1) into 1
4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.577 * [backup-simplify]: Simplify (+ 0 0) into 0
4.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.578 * [taylor]: Taking taylor expansion of re in re
4.578 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify 1 into 1
4.579 * [backup-simplify]: Simplify (/ 1 1) into 1
4.579 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.579 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.579 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.579 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.579 * [taylor]: Taking taylor expansion of re in re
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 1 into 1
4.579 * [backup-simplify]: Simplify (/ 1 1) into 1
4.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.579 * [taylor]: Taking taylor expansion of re in re
4.579 * [backup-simplify]: Simplify 0 into 0
4.580 * [backup-simplify]: Simplify 1 into 1
4.580 * [backup-simplify]: Simplify (/ 1 1) into 1
4.580 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.580 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.580 * [taylor]: Taking taylor expansion of im in re
4.580 * [backup-simplify]: Simplify im into im
4.580 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.580 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.580 * [taylor]: Taking taylor expansion of im in re
4.580 * [backup-simplify]: Simplify im into im
4.580 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.581 * [backup-simplify]: Simplify (* 1 1) into 1
4.581 * [backup-simplify]: Simplify (+ 1 0) into 1
4.581 * [backup-simplify]: Simplify (sqrt 1) into 1
4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.584 * [backup-simplify]: Simplify (+ 0 0) into 0
4.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.585 * [taylor]: Taking taylor expansion of re in re
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 1 into 1
4.585 * [backup-simplify]: Simplify (/ 1 1) into 1
4.586 * [backup-simplify]: Simplify (- 1) into -1
4.586 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.586 * [taylor]: Taking taylor expansion of 0 in im
4.586 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.588 * [backup-simplify]: Simplify (- 0) into 0
4.588 * [backup-simplify]: Simplify (+ 0 0) into 0
4.588 * [taylor]: Taking taylor expansion of 0 in im
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.591 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.591 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.592 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.593 * [backup-simplify]: Simplify (- 0) into 0
4.594 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.594 * [taylor]: Taking taylor expansion of 1/2 in im
4.594 * [backup-simplify]: Simplify 1/2 into 1/2
4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.594 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.594 * [taylor]: Taking taylor expansion of im in im
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify 1 into 1
4.594 * [backup-simplify]: Simplify (* 1 1) into 1
4.594 * [backup-simplify]: Simplify (/ 1 1) into 1
4.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.597 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.598 * [backup-simplify]: Simplify (+ 0 0) into 0
4.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.599 * [backup-simplify]: Simplify (- 0) into 0
4.599 * [backup-simplify]: Simplify (+ 0 0) into 0
4.599 * [taylor]: Taking taylor expansion of 0 in im
4.599 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
4.601 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
4.601 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
4.601 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.601 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.601 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.601 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.601 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.601 * [taylor]: Taking taylor expansion of -1 in im
4.601 * [backup-simplify]: Simplify -1 into -1
4.601 * [taylor]: Taking taylor expansion of re in im
4.601 * [backup-simplify]: Simplify re into re
4.601 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.602 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.602 * [taylor]: Taking taylor expansion of -1 in im
4.602 * [backup-simplify]: Simplify -1 into -1
4.602 * [taylor]: Taking taylor expansion of re in im
4.602 * [backup-simplify]: Simplify re into re
4.602 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.602 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.602 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.602 * [taylor]: Taking taylor expansion of -1 in im
4.602 * [backup-simplify]: Simplify -1 into -1
4.602 * [taylor]: Taking taylor expansion of im in im
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 1 into 1
4.602 * [backup-simplify]: Simplify (/ -1 1) into -1
4.602 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.602 * [taylor]: Taking taylor expansion of -1 in im
4.602 * [backup-simplify]: Simplify -1 into -1
4.602 * [taylor]: Taking taylor expansion of im in im
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 1 into 1
4.602 * [backup-simplify]: Simplify (/ -1 1) into -1
4.603 * [backup-simplify]: Simplify (* -1 -1) into 1
4.603 * [backup-simplify]: Simplify (+ 0 1) into 1
4.603 * [backup-simplify]: Simplify (sqrt 1) into 1
4.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.604 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.605 * [backup-simplify]: Simplify (+ 0 0) into 0
4.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.605 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.605 * [taylor]: Taking taylor expansion of re in im
4.605 * [backup-simplify]: Simplify re into re
4.605 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.605 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.605 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.605 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.605 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.605 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.605 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.605 * [taylor]: Taking taylor expansion of -1 in re
4.605 * [backup-simplify]: Simplify -1 into -1
4.605 * [taylor]: Taking taylor expansion of re in re
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [backup-simplify]: Simplify (/ -1 1) into -1
4.606 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.606 * [taylor]: Taking taylor expansion of -1 in re
4.606 * [backup-simplify]: Simplify -1 into -1
4.606 * [taylor]: Taking taylor expansion of re in re
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [backup-simplify]: Simplify (/ -1 1) into -1
4.606 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.606 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.606 * [taylor]: Taking taylor expansion of -1 in re
4.606 * [backup-simplify]: Simplify -1 into -1
4.606 * [taylor]: Taking taylor expansion of im in re
4.606 * [backup-simplify]: Simplify im into im
4.606 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.606 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.606 * [taylor]: Taking taylor expansion of -1 in re
4.606 * [backup-simplify]: Simplify -1 into -1
4.606 * [taylor]: Taking taylor expansion of im in re
4.606 * [backup-simplify]: Simplify im into im
4.606 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.607 * [backup-simplify]: Simplify (* -1 -1) into 1
4.607 * [backup-simplify]: Simplify (+ 1 0) into 1
4.607 * [backup-simplify]: Simplify (sqrt 1) into 1
4.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.609 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.609 * [backup-simplify]: Simplify (+ 0 0) into 0
4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.609 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.609 * [taylor]: Taking taylor expansion of re in re
4.609 * [backup-simplify]: Simplify 0 into 0
4.609 * [backup-simplify]: Simplify 1 into 1
4.610 * [backup-simplify]: Simplify (/ 1 1) into 1
4.610 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.610 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.610 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.610 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.610 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.610 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.610 * [taylor]: Taking taylor expansion of -1 in re
4.610 * [backup-simplify]: Simplify -1 into -1
4.610 * [taylor]: Taking taylor expansion of re in re
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 1 into 1
4.610 * [backup-simplify]: Simplify (/ -1 1) into -1
4.610 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.610 * [taylor]: Taking taylor expansion of -1 in re
4.610 * [backup-simplify]: Simplify -1 into -1
4.610 * [taylor]: Taking taylor expansion of re in re
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 1 into 1
4.611 * [backup-simplify]: Simplify (/ -1 1) into -1
4.611 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.611 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.611 * [taylor]: Taking taylor expansion of -1 in re
4.611 * [backup-simplify]: Simplify -1 into -1
4.611 * [taylor]: Taking taylor expansion of im in re
4.611 * [backup-simplify]: Simplify im into im
4.611 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.611 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.611 * [taylor]: Taking taylor expansion of -1 in re
4.611 * [backup-simplify]: Simplify -1 into -1
4.611 * [taylor]: Taking taylor expansion of im in re
4.611 * [backup-simplify]: Simplify im into im
4.611 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.611 * [backup-simplify]: Simplify (* -1 -1) into 1
4.611 * [backup-simplify]: Simplify (+ 1 0) into 1
4.612 * [backup-simplify]: Simplify (sqrt 1) into 1
4.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.613 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.614 * [backup-simplify]: Simplify (+ 0 0) into 0
4.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.614 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.614 * [taylor]: Taking taylor expansion of re in re
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify 1 into 1
4.615 * [backup-simplify]: Simplify (/ 1 1) into 1
4.615 * [backup-simplify]: Simplify (+ 1 1) into 2
4.615 * [taylor]: Taking taylor expansion of 2 in im
4.615 * [backup-simplify]: Simplify 2 into 2
4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.616 * [backup-simplify]: Simplify (+ 0 0) into 0
4.616 * [taylor]: Taking taylor expansion of 0 in im
4.616 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 2 into 2
4.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.620 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.620 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.620 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.621 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.622 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.622 * [taylor]: Taking taylor expansion of 1/2 in im
4.623 * [backup-simplify]: Simplify 1/2 into 1/2
4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.623 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.623 * [taylor]: Taking taylor expansion of im in im
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify (* 1 1) into 1
4.623 * [backup-simplify]: Simplify (/ 1 1) into 1
4.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.629 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.629 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.630 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.630 * [backup-simplify]: Simplify (+ 0 0) into 0
4.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.634 * [backup-simplify]: Simplify (+ 0 0) into 0
4.634 * [taylor]: Taking taylor expansion of 0 in im
4.634 * [backup-simplify]: Simplify 0 into 0
4.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.637 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1 1)
4.637 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
4.638 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
4.638 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
4.638 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.638 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.638 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.638 * [taylor]: Taking taylor expansion of (* re re) in im
4.638 * [taylor]: Taking taylor expansion of re in im
4.638 * [backup-simplify]: Simplify re into re
4.638 * [taylor]: Taking taylor expansion of re in im
4.638 * [backup-simplify]: Simplify re into re
4.638 * [taylor]: Taking taylor expansion of (* im im) in im
4.638 * [taylor]: Taking taylor expansion of im in im
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 1 into 1
4.638 * [taylor]: Taking taylor expansion of im in im
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 1 into 1
4.638 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.639 * [backup-simplify]: Simplify (* 0 0) into 0
4.639 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.639 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.639 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.640 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.640 * [backup-simplify]: Simplify (+ 0 0) into 0
4.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.640 * [taylor]: Taking taylor expansion of re in im
4.640 * [backup-simplify]: Simplify re into re
4.640 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.640 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.640 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.640 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.641 * [taylor]: Taking taylor expansion of (* re re) in re
4.641 * [taylor]: Taking taylor expansion of re in re
4.641 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify 1 into 1
4.641 * [taylor]: Taking taylor expansion of re in re
4.641 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify 1 into 1
4.641 * [taylor]: Taking taylor expansion of (* im im) in re
4.641 * [taylor]: Taking taylor expansion of im in re
4.641 * [backup-simplify]: Simplify im into im
4.641 * [taylor]: Taking taylor expansion of im in re
4.641 * [backup-simplify]: Simplify im into im
4.641 * [backup-simplify]: Simplify (* 0 0) into 0
4.641 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.641 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.642 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.642 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.643 * [backup-simplify]: Simplify (+ 0 0) into 0
4.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.643 * [taylor]: Taking taylor expansion of re in re
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 1 into 1
4.643 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.643 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.643 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.643 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.643 * [taylor]: Taking taylor expansion of (* re re) in re
4.643 * [taylor]: Taking taylor expansion of re in re
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 1 into 1
4.643 * [taylor]: Taking taylor expansion of re in re
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 1 into 1
4.643 * [taylor]: Taking taylor expansion of (* im im) in re
4.643 * [taylor]: Taking taylor expansion of im in re
4.643 * [backup-simplify]: Simplify im into im
4.643 * [taylor]: Taking taylor expansion of im in re
4.643 * [backup-simplify]: Simplify im into im
4.644 * [backup-simplify]: Simplify (* 0 0) into 0
4.644 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.644 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.644 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.645 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.645 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.645 * [backup-simplify]: Simplify (+ 0 0) into 0
4.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.645 * [taylor]: Taking taylor expansion of re in re
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify (- 0) into 0
4.646 * [backup-simplify]: Simplify (+ im 0) into im
4.646 * [taylor]: Taking taylor expansion of im in im
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify (- 1) into -1
4.647 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.647 * [taylor]: Taking taylor expansion of -1 in im
4.647 * [backup-simplify]: Simplify -1 into -1
4.647 * [backup-simplify]: Simplify -1 into -1
4.647 * [backup-simplify]: Simplify 1 into 1
4.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.648 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.649 * [backup-simplify]: Simplify (+ 1 0) into 1
4.649 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.650 * [backup-simplify]: Simplify (- 0) into 0
4.650 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.650 * [taylor]: Taking taylor expansion of 1/2 in im
4.650 * [backup-simplify]: Simplify 1/2 into 1/2
4.650 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.650 * [taylor]: Taking taylor expansion of im in im
4.650 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify 1 into 1
4.650 * [backup-simplify]: Simplify (/ 1 1) into 1
4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.654 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.654 * [backup-simplify]: Simplify (+ 0 0) into 0
4.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.655 * [backup-simplify]: Simplify (- 0) into 0
4.655 * [backup-simplify]: Simplify (+ 0 0) into 0
4.655 * [taylor]: Taking taylor expansion of 0 in im
4.655 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.658 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
4.658 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
4.658 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
4.659 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.659 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.659 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.659 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.659 * [taylor]: Taking taylor expansion of re in im
4.659 * [backup-simplify]: Simplify re into re
4.659 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.659 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.659 * [taylor]: Taking taylor expansion of re in im
4.659 * [backup-simplify]: Simplify re into re
4.659 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.659 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.659 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.659 * [taylor]: Taking taylor expansion of im in im
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify (/ 1 1) into 1
4.660 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.660 * [taylor]: Taking taylor expansion of im in im
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify (/ 1 1) into 1
4.661 * [backup-simplify]: Simplify (* 1 1) into 1
4.661 * [backup-simplify]: Simplify (+ 0 1) into 1
4.662 * [backup-simplify]: Simplify (sqrt 1) into 1
4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.664 * [backup-simplify]: Simplify (+ 0 0) into 0
4.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.665 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.665 * [taylor]: Taking taylor expansion of re in im
4.665 * [backup-simplify]: Simplify re into re
4.665 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.665 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.665 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.665 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.665 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.665 * [taylor]: Taking taylor expansion of re in re
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify 1 into 1
4.666 * [backup-simplify]: Simplify (/ 1 1) into 1
4.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.666 * [taylor]: Taking taylor expansion of re in re
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 1 into 1
4.666 * [backup-simplify]: Simplify (/ 1 1) into 1
4.666 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.666 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.666 * [taylor]: Taking taylor expansion of im in re
4.666 * [backup-simplify]: Simplify im into im
4.666 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.666 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.667 * [taylor]: Taking taylor expansion of im in re
4.667 * [backup-simplify]: Simplify im into im
4.667 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.667 * [backup-simplify]: Simplify (* 1 1) into 1
4.667 * [backup-simplify]: Simplify (+ 1 0) into 1
4.668 * [backup-simplify]: Simplify (sqrt 1) into 1
4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.670 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.671 * [taylor]: Taking taylor expansion of re in re
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (/ 1 1) into 1
4.672 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.672 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.672 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.672 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.672 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.672 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.672 * [taylor]: Taking taylor expansion of re in re
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (/ 1 1) into 1
4.672 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.673 * [taylor]: Taking taylor expansion of re in re
4.673 * [backup-simplify]: Simplify 0 into 0
4.673 * [backup-simplify]: Simplify 1 into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.673 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.673 * [taylor]: Taking taylor expansion of im in re
4.673 * [backup-simplify]: Simplify im into im
4.673 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.673 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.673 * [taylor]: Taking taylor expansion of im in re
4.673 * [backup-simplify]: Simplify im into im
4.674 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.674 * [backup-simplify]: Simplify (* 1 1) into 1
4.674 * [backup-simplify]: Simplify (+ 1 0) into 1
4.675 * [backup-simplify]: Simplify (sqrt 1) into 1
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.677 * [backup-simplify]: Simplify (+ 0 0) into 0
4.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.678 * [taylor]: Taking taylor expansion of re in re
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 1 into 1
4.678 * [backup-simplify]: Simplify (/ 1 1) into 1
4.679 * [backup-simplify]: Simplify (- 1) into -1
4.679 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.679 * [taylor]: Taking taylor expansion of 0 in im
4.679 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.681 * [backup-simplify]: Simplify (- 0) into 0
4.681 * [backup-simplify]: Simplify (+ 0 0) into 0
4.681 * [taylor]: Taking taylor expansion of 0 in im
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.684 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.685 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.687 * [backup-simplify]: Simplify (- 0) into 0
4.688 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.688 * [taylor]: Taking taylor expansion of 1/2 in im
4.688 * [backup-simplify]: Simplify 1/2 into 1/2
4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.688 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.688 * [taylor]: Taking taylor expansion of im in im
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (* 1 1) into 1
4.689 * [backup-simplify]: Simplify (/ 1 1) into 1
4.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.694 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.695 * [backup-simplify]: Simplify (+ 0 0) into 0
4.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (- 0) into 0
4.697 * [backup-simplify]: Simplify (+ 0 0) into 0
4.697 * [taylor]: Taking taylor expansion of 0 in im
4.697 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.700 * [backup-simplify]: Simplify 0 into 0
4.700 * [backup-simplify]: Simplify 0 into 0
4.700 * [backup-simplify]: Simplify 0 into 0
4.701 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
4.701 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
4.701 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
4.701 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.701 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.701 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.701 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.701 * [taylor]: Taking taylor expansion of -1 in im
4.701 * [backup-simplify]: Simplify -1 into -1
4.701 * [taylor]: Taking taylor expansion of re in im
4.701 * [backup-simplify]: Simplify re into re
4.701 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.701 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.701 * [taylor]: Taking taylor expansion of -1 in im
4.701 * [backup-simplify]: Simplify -1 into -1
4.701 * [taylor]: Taking taylor expansion of re in im
4.701 * [backup-simplify]: Simplify re into re
4.701 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.701 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.701 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.702 * [taylor]: Taking taylor expansion of -1 in im
4.702 * [backup-simplify]: Simplify -1 into -1
4.702 * [taylor]: Taking taylor expansion of im in im
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify 1 into 1
4.702 * [backup-simplify]: Simplify (/ -1 1) into -1
4.702 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.702 * [taylor]: Taking taylor expansion of -1 in im
4.702 * [backup-simplify]: Simplify -1 into -1
4.702 * [taylor]: Taking taylor expansion of im in im
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify 1 into 1
4.703 * [backup-simplify]: Simplify (/ -1 1) into -1
4.703 * [backup-simplify]: Simplify (* -1 -1) into 1
4.704 * [backup-simplify]: Simplify (+ 0 1) into 1
4.704 * [backup-simplify]: Simplify (sqrt 1) into 1
4.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.707 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.708 * [taylor]: Taking taylor expansion of re in im
4.708 * [backup-simplify]: Simplify re into re
4.708 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.708 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.708 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.708 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.708 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.708 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.708 * [taylor]: Taking taylor expansion of -1 in re
4.708 * [backup-simplify]: Simplify -1 into -1
4.709 * [taylor]: Taking taylor expansion of re in re
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.709 * [backup-simplify]: Simplify (/ -1 1) into -1
4.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.709 * [taylor]: Taking taylor expansion of -1 in re
4.709 * [backup-simplify]: Simplify -1 into -1
4.709 * [taylor]: Taking taylor expansion of re in re
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.710 * [backup-simplify]: Simplify (/ -1 1) into -1
4.710 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.710 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.710 * [taylor]: Taking taylor expansion of -1 in re
4.710 * [backup-simplify]: Simplify -1 into -1
4.710 * [taylor]: Taking taylor expansion of im in re
4.710 * [backup-simplify]: Simplify im into im
4.710 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.710 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.710 * [taylor]: Taking taylor expansion of -1 in re
4.710 * [backup-simplify]: Simplify -1 into -1
4.710 * [taylor]: Taking taylor expansion of im in re
4.710 * [backup-simplify]: Simplify im into im
4.710 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.711 * [backup-simplify]: Simplify (* -1 -1) into 1
4.711 * [backup-simplify]: Simplify (+ 1 0) into 1
4.712 * [backup-simplify]: Simplify (sqrt 1) into 1
4.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.714 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.714 * [backup-simplify]: Simplify (+ 0 0) into 0
4.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.715 * [taylor]: Taking taylor expansion of re in re
4.715 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify 1 into 1
4.715 * [backup-simplify]: Simplify (/ 1 1) into 1
4.715 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.715 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.716 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.716 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.716 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.716 * [taylor]: Taking taylor expansion of -1 in re
4.716 * [backup-simplify]: Simplify -1 into -1
4.716 * [taylor]: Taking taylor expansion of re in re
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 1 into 1
4.716 * [backup-simplify]: Simplify (/ -1 1) into -1
4.716 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.716 * [taylor]: Taking taylor expansion of -1 in re
4.716 * [backup-simplify]: Simplify -1 into -1
4.716 * [taylor]: Taking taylor expansion of re in re
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 1 into 1
4.717 * [backup-simplify]: Simplify (/ -1 1) into -1
4.717 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.717 * [taylor]: Taking taylor expansion of -1 in re
4.717 * [backup-simplify]: Simplify -1 into -1
4.717 * [taylor]: Taking taylor expansion of im in re
4.717 * [backup-simplify]: Simplify im into im
4.717 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.717 * [taylor]: Taking taylor expansion of -1 in re
4.717 * [backup-simplify]: Simplify -1 into -1
4.717 * [taylor]: Taking taylor expansion of im in re
4.717 * [backup-simplify]: Simplify im into im
4.717 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.718 * [backup-simplify]: Simplify (* -1 -1) into 1
4.718 * [backup-simplify]: Simplify (+ 1 0) into 1
4.718 * [backup-simplify]: Simplify (sqrt 1) into 1
4.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.721 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.721 * [backup-simplify]: Simplify (+ 0 0) into 0
4.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.722 * [taylor]: Taking taylor expansion of re in re
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 1 into 1
4.722 * [backup-simplify]: Simplify (/ 1 1) into 1
4.723 * [backup-simplify]: Simplify (+ 1 1) into 2
4.723 * [taylor]: Taking taylor expansion of 2 in im
4.723 * [backup-simplify]: Simplify 2 into 2
4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.724 * [backup-simplify]: Simplify (+ 0 0) into 0
4.724 * [taylor]: Taking taylor expansion of 0 in im
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify 2 into 2
4.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.727 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.727 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.728 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.730 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.730 * [taylor]: Taking taylor expansion of 1/2 in im
4.730 * [backup-simplify]: Simplify 1/2 into 1/2
4.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.730 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.730 * [taylor]: Taking taylor expansion of im in im
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 1 into 1
4.730 * [backup-simplify]: Simplify (* 1 1) into 1
4.731 * [backup-simplify]: Simplify (/ 1 1) into 1
4.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 0 into 0
4.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.737 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.737 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.737 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.737 * [backup-simplify]: Simplify (+ 0 0) into 0
4.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.739 * [backup-simplify]: Simplify (+ 0 0) into 0
4.739 * [taylor]: Taking taylor expansion of 0 in im
4.739 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.742 * * * [progress]: simplifying candidates
4.746 * [simplify]: Simplifying:
  (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (log1p (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (+ 1 1)
  (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))))
  (log (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (exp (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))
  (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))))
  (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))
  (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))))
  (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))
  (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (+ (sqrt (hypot re im)) (sqrt re))))
  (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* 1 1)
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))))
  (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))))
  (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (- (hypot re im) re)) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))))
  (* (sqrt (- (hypot re im) re)) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (- (hypot re im) re)) 1)
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re)))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma 1 (hypot re im) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (/ (exp (hypot re im)) (exp re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma 1 (hypot re im) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (/ (exp (hypot re im)) (exp re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
4.749 * * [simplify]: iteration 0: 128 enodes
4.808 * * [simplify]: iteration 1: 251 enodes
4.896 * * [simplify]: iteration 2: 464 enodes
5.098 * * [simplify]: iteration 3: 1125 enodes
6.043 * * [simplify]: iteration 4: 4077 enodes
7.874 * * [simplify]: iteration complete: 5000 enodes
7.874 * * [simplify]: Extracting #0: cost 35 inf + 0
7.876 * * [simplify]: Extracting #1: cost 378 inf + 3
7.880 * * [simplify]: Extracting #2: cost 806 inf + 5404
7.892 * * [simplify]: Extracting #3: cost 682 inf + 44418
7.950 * * [simplify]: Extracting #4: cost 193 inf + 169566
8.011 * * [simplify]: Extracting #5: cost 12 inf + 227009
8.076 * * [simplify]: Extracting #6: cost 0 inf + 232882
8.190 * [simplify]: Simplified to:
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  1
  1
  2
  1
  1
  (* (- (hypot re im) re) (- (hypot re im) re))
  (- (hypot re im) re)
  (* (- (hypot re im) re) (- (hypot re im) re))
  2
  (log (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))
  (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))))
  (* (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))))
  (* (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  1
  (- (hypot re im) re)
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  1
  (- (hypot re im) re)
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  2
  1
  (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (fabs (cbrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (sqrt (+ (sqrt re) (sqrt (hypot re im)))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))
  (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))
  (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (- im re)
  0
  (* re -2)
  (- im re)
  0
  (* re -2)
  (- im re)
  0
  (* re -2)
8.202 * * * [progress]: adding candidates to table
8.840 * * [progress]: iteration 3 / 4
8.840 * * * [progress]: picking best candidate
8.858 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))>
8.858 * * * [progress]: localizing error
8.886 * * * [progress]: generating rewritten candidates
8.886 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1)
8.890 * * * [progress]: generating series expansions
8.890 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1)
8.891 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
8.891 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
8.891 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
8.891 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
8.891 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
8.891 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
8.891 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.891 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.891 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.891 * [taylor]: Taking taylor expansion of (* re re) in im
8.891 * [taylor]: Taking taylor expansion of re in im
8.891 * [backup-simplify]: Simplify re into re
8.891 * [taylor]: Taking taylor expansion of re in im
8.891 * [backup-simplify]: Simplify re into re
8.891 * [taylor]: Taking taylor expansion of (* im im) in im
8.891 * [taylor]: Taking taylor expansion of im in im
8.891 * [backup-simplify]: Simplify 0 into 0
8.891 * [backup-simplify]: Simplify 1 into 1
8.891 * [taylor]: Taking taylor expansion of im in im
8.891 * [backup-simplify]: Simplify 0 into 0
8.891 * [backup-simplify]: Simplify 1 into 1
8.891 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.892 * [backup-simplify]: Simplify (* 0 0) into 0
8.892 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.892 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.892 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.892 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.893 * [backup-simplify]: Simplify (+ 0 0) into 0
8.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.893 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
8.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
8.893 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
8.893 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.893 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.893 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.893 * [taylor]: Taking taylor expansion of (* re re) in im
8.893 * [taylor]: Taking taylor expansion of re in im
8.893 * [backup-simplify]: Simplify re into re
8.893 * [taylor]: Taking taylor expansion of re in im
8.893 * [backup-simplify]: Simplify re into re
8.893 * [taylor]: Taking taylor expansion of (* im im) in im
8.893 * [taylor]: Taking taylor expansion of im in im
8.893 * [backup-simplify]: Simplify 0 into 0
8.893 * [backup-simplify]: Simplify 1 into 1
8.893 * [taylor]: Taking taylor expansion of im in im
8.893 * [backup-simplify]: Simplify 0 into 0
8.893 * [backup-simplify]: Simplify 1 into 1
8.894 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.894 * [backup-simplify]: Simplify (* 0 0) into 0
8.894 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.894 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.894 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.894 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.895 * [backup-simplify]: Simplify (+ 0 0) into 0
8.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.895 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
8.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
8.895 * [taylor]: Taking taylor expansion of (- re) in im
8.895 * [taylor]: Taking taylor expansion of re in im
8.895 * [backup-simplify]: Simplify re into re
8.895 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
8.895 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
8.895 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
8.895 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.895 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.895 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.895 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.895 * [taylor]: Taking taylor expansion of (* re re) in re
8.895 * [taylor]: Taking taylor expansion of re in re
8.895 * [backup-simplify]: Simplify 0 into 0
8.895 * [backup-simplify]: Simplify 1 into 1
8.895 * [taylor]: Taking taylor expansion of re in re
8.895 * [backup-simplify]: Simplify 0 into 0
8.895 * [backup-simplify]: Simplify 1 into 1
8.895 * [taylor]: Taking taylor expansion of (* im im) in re
8.895 * [taylor]: Taking taylor expansion of im in re
8.895 * [backup-simplify]: Simplify im into im
8.895 * [taylor]: Taking taylor expansion of im in re
8.895 * [backup-simplify]: Simplify im into im
8.896 * [backup-simplify]: Simplify (* 0 0) into 0
8.896 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.896 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.896 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.896 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.896 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.897 * [backup-simplify]: Simplify (+ 0 0) into 0
8.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.897 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.897 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.897 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.897 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.897 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.897 * [taylor]: Taking taylor expansion of (* re re) in re
8.897 * [taylor]: Taking taylor expansion of re in re
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [backup-simplify]: Simplify 1 into 1
8.897 * [taylor]: Taking taylor expansion of re in re
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [backup-simplify]: Simplify 1 into 1
8.897 * [taylor]: Taking taylor expansion of (* im im) in re
8.897 * [taylor]: Taking taylor expansion of im in re
8.897 * [backup-simplify]: Simplify im into im
8.897 * [taylor]: Taking taylor expansion of im in re
8.897 * [backup-simplify]: Simplify im into im
8.898 * [backup-simplify]: Simplify (* 0 0) into 0
8.898 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.898 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.898 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.898 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.898 * [backup-simplify]: Simplify (+ 0 0) into 0
8.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.899 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.899 * [taylor]: Taking taylor expansion of (- re) in re
8.899 * [taylor]: Taking taylor expansion of re in re
8.899 * [backup-simplify]: Simplify 0 into 0
8.899 * [backup-simplify]: Simplify 1 into 1
8.899 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
8.899 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
8.899 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
8.899 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.899 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.899 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.899 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.899 * [taylor]: Taking taylor expansion of (* re re) in re
8.899 * [taylor]: Taking taylor expansion of re in re
8.899 * [backup-simplify]: Simplify 0 into 0
8.899 * [backup-simplify]: Simplify 1 into 1
8.899 * [taylor]: Taking taylor expansion of re in re
8.899 * [backup-simplify]: Simplify 0 into 0
8.899 * [backup-simplify]: Simplify 1 into 1
8.899 * [taylor]: Taking taylor expansion of (* im im) in re
8.899 * [taylor]: Taking taylor expansion of im in re
8.899 * [backup-simplify]: Simplify im into im
8.899 * [taylor]: Taking taylor expansion of im in re
8.899 * [backup-simplify]: Simplify im into im
8.899 * [backup-simplify]: Simplify (* 0 0) into 0
8.899 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.900 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.900 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.900 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.900 * [backup-simplify]: Simplify (+ 0 0) into 0
8.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.900 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.901 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.901 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.901 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.901 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.901 * [taylor]: Taking taylor expansion of (* re re) in re
8.901 * [taylor]: Taking taylor expansion of re in re
8.901 * [backup-simplify]: Simplify 0 into 0
8.901 * [backup-simplify]: Simplify 1 into 1
8.901 * [taylor]: Taking taylor expansion of re in re
8.901 * [backup-simplify]: Simplify 0 into 0
8.901 * [backup-simplify]: Simplify 1 into 1
8.901 * [taylor]: Taking taylor expansion of (* im im) in re
8.901 * [taylor]: Taking taylor expansion of im in re
8.901 * [backup-simplify]: Simplify im into im
8.901 * [taylor]: Taking taylor expansion of im in re
8.901 * [backup-simplify]: Simplify im into im
8.901 * [backup-simplify]: Simplify (* 0 0) into 0
8.901 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.901 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.901 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.902 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.902 * [backup-simplify]: Simplify (+ 0 0) into 0
8.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.902 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.902 * [taylor]: Taking taylor expansion of (- re) in re
8.902 * [taylor]: Taking taylor expansion of re in re
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [backup-simplify]: Simplify 1 into 1
8.902 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
8.903 * [backup-simplify]: Simplify (- 0) into 0
8.903 * [backup-simplify]: Simplify (+ im 0) into im
8.903 * [taylor]: Taking taylor expansion of im in im
8.903 * [backup-simplify]: Simplify 0 into 0
8.903 * [backup-simplify]: Simplify 1 into 1
8.903 * [backup-simplify]: Simplify 0 into 0
8.903 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
8.903 * [backup-simplify]: Simplify (- 1) into -1
8.903 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.903 * [taylor]: Taking taylor expansion of -1 in im
8.903 * [backup-simplify]: Simplify -1 into -1
8.903 * [backup-simplify]: Simplify -1 into -1
8.904 * [backup-simplify]: Simplify 1 into 1
8.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.904 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.905 * [backup-simplify]: Simplify (+ 1 0) into 1
8.905 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.906 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
8.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.906 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.907 * [backup-simplify]: Simplify (+ 1 0) into 1
8.907 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.908 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
8.909 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
8.909 * [backup-simplify]: Simplify (- 0) into 0
8.909 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
8.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.909 * [taylor]: Taking taylor expansion of 1/2 in im
8.909 * [backup-simplify]: Simplify 1/2 into 1/2
8.909 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.909 * [taylor]: Taking taylor expansion of im in im
8.909 * [backup-simplify]: Simplify 0 into 0
8.909 * [backup-simplify]: Simplify 1 into 1
8.909 * [backup-simplify]: Simplify (/ 1 1) into 1
8.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.910 * [backup-simplify]: Simplify 0 into 0
8.911 * [backup-simplify]: Simplify 0 into 0
8.911 * [backup-simplify]: Simplify 0 into 0
8.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.912 * [backup-simplify]: Simplify (+ 0 0) into 0
8.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
8.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.914 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.914 * [backup-simplify]: Simplify (+ 0 0) into 0
8.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
8.915 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
8.915 * [backup-simplify]: Simplify (- 0) into 0
8.915 * [backup-simplify]: Simplify (+ 0 0) into 0
8.915 * [taylor]: Taking taylor expansion of 0 in im
8.915 * [backup-simplify]: Simplify 0 into 0
8.915 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.916 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.917 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
8.917 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
8.917 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
8.917 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
8.917 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
8.917 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
8.917 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.917 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.917 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.917 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.917 * [taylor]: Taking taylor expansion of re in im
8.917 * [backup-simplify]: Simplify re into re
8.917 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.917 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.917 * [taylor]: Taking taylor expansion of re in im
8.917 * [backup-simplify]: Simplify re into re
8.917 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.917 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.917 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.917 * [taylor]: Taking taylor expansion of im in im
8.917 * [backup-simplify]: Simplify 0 into 0
8.917 * [backup-simplify]: Simplify 1 into 1
8.918 * [backup-simplify]: Simplify (/ 1 1) into 1
8.918 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.918 * [taylor]: Taking taylor expansion of im in im
8.918 * [backup-simplify]: Simplify 0 into 0
8.918 * [backup-simplify]: Simplify 1 into 1
8.918 * [backup-simplify]: Simplify (/ 1 1) into 1
8.918 * [backup-simplify]: Simplify (* 1 1) into 1
8.918 * [backup-simplify]: Simplify (+ 0 1) into 1
8.919 * [backup-simplify]: Simplify (sqrt 1) into 1
8.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.920 * [backup-simplify]: Simplify (+ 0 0) into 0
8.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.921 * [backup-simplify]: Simplify (sqrt 0) into 0
8.922 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.922 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
8.922 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.922 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.922 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.922 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.922 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.922 * [taylor]: Taking taylor expansion of re in im
8.922 * [backup-simplify]: Simplify re into re
8.922 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.922 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.922 * [taylor]: Taking taylor expansion of re in im
8.922 * [backup-simplify]: Simplify re into re
8.922 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.922 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.922 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.922 * [taylor]: Taking taylor expansion of im in im
8.922 * [backup-simplify]: Simplify 0 into 0
8.922 * [backup-simplify]: Simplify 1 into 1
8.923 * [backup-simplify]: Simplify (/ 1 1) into 1
8.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.923 * [taylor]: Taking taylor expansion of im in im
8.923 * [backup-simplify]: Simplify 0 into 0
8.923 * [backup-simplify]: Simplify 1 into 1
8.923 * [backup-simplify]: Simplify (/ 1 1) into 1
8.923 * [backup-simplify]: Simplify (* 1 1) into 1
8.923 * [backup-simplify]: Simplify (+ 0 1) into 1
8.924 * [backup-simplify]: Simplify (sqrt 1) into 1
8.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.926 * [backup-simplify]: Simplify (+ 0 0) into 0
8.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.926 * [backup-simplify]: Simplify (sqrt 0) into 0
8.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.927 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
8.927 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.927 * [taylor]: Taking taylor expansion of re in im
8.927 * [backup-simplify]: Simplify re into re
8.927 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.927 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
8.927 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
8.927 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
8.928 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.928 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.928 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.928 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.928 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.928 * [taylor]: Taking taylor expansion of re in re
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify 1 into 1
8.928 * [backup-simplify]: Simplify (/ 1 1) into 1
8.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.928 * [taylor]: Taking taylor expansion of re in re
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify 1 into 1
8.928 * [backup-simplify]: Simplify (/ 1 1) into 1
8.928 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.928 * [taylor]: Taking taylor expansion of im in re
8.928 * [backup-simplify]: Simplify im into im
8.928 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.928 * [taylor]: Taking taylor expansion of im in re
8.928 * [backup-simplify]: Simplify im into im
8.928 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.929 * [backup-simplify]: Simplify (* 1 1) into 1
8.929 * [backup-simplify]: Simplify (+ 1 0) into 1
8.929 * [backup-simplify]: Simplify (sqrt 1) into 1
8.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.931 * [backup-simplify]: Simplify (+ 0 0) into 0
8.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.931 * [backup-simplify]: Simplify (sqrt 0) into 0
8.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.932 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.932 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.932 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.932 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.932 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.932 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.932 * [taylor]: Taking taylor expansion of re in re
8.932 * [backup-simplify]: Simplify 0 into 0
8.932 * [backup-simplify]: Simplify 1 into 1
8.933 * [backup-simplify]: Simplify (/ 1 1) into 1
8.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.933 * [taylor]: Taking taylor expansion of re in re
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 1 into 1
8.933 * [backup-simplify]: Simplify (/ 1 1) into 1
8.933 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.933 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.933 * [taylor]: Taking taylor expansion of im in re
8.933 * [backup-simplify]: Simplify im into im
8.933 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.933 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.933 * [taylor]: Taking taylor expansion of im in re
8.933 * [backup-simplify]: Simplify im into im
8.933 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.933 * [backup-simplify]: Simplify (* 1 1) into 1
8.934 * [backup-simplify]: Simplify (+ 1 0) into 1
8.934 * [backup-simplify]: Simplify (sqrt 1) into 1
8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.935 * [backup-simplify]: Simplify (+ 0 0) into 0
8.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.936 * [backup-simplify]: Simplify (sqrt 0) into 0
8.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.937 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
8.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.937 * [taylor]: Taking taylor expansion of re in re
8.937 * [backup-simplify]: Simplify 0 into 0
8.937 * [backup-simplify]: Simplify 1 into 1
8.937 * [backup-simplify]: Simplify (/ 1 1) into 1
8.937 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
8.937 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
8.938 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
8.938 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.938 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.938 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.938 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.938 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.938 * [taylor]: Taking taylor expansion of re in re
8.938 * [backup-simplify]: Simplify 0 into 0
8.938 * [backup-simplify]: Simplify 1 into 1
8.938 * [backup-simplify]: Simplify (/ 1 1) into 1
8.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.938 * [taylor]: Taking taylor expansion of re in re
8.938 * [backup-simplify]: Simplify 0 into 0
8.938 * [backup-simplify]: Simplify 1 into 1
8.938 * [backup-simplify]: Simplify (/ 1 1) into 1
8.938 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.938 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.938 * [taylor]: Taking taylor expansion of im in re
8.938 * [backup-simplify]: Simplify im into im
8.938 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.938 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.938 * [taylor]: Taking taylor expansion of im in re
8.938 * [backup-simplify]: Simplify im into im
8.938 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.939 * [backup-simplify]: Simplify (* 1 1) into 1
8.939 * [backup-simplify]: Simplify (+ 1 0) into 1
8.939 * [backup-simplify]: Simplify (sqrt 1) into 1
8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.941 * [backup-simplify]: Simplify (+ 0 0) into 0
8.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.941 * [backup-simplify]: Simplify (sqrt 0) into 0
8.942 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.942 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.942 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.942 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.942 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.943 * [taylor]: Taking taylor expansion of re in re
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [backup-simplify]: Simplify 1 into 1
8.943 * [backup-simplify]: Simplify (/ 1 1) into 1
8.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.943 * [taylor]: Taking taylor expansion of re in re
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [backup-simplify]: Simplify 1 into 1
8.943 * [backup-simplify]: Simplify (/ 1 1) into 1
8.943 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.943 * [taylor]: Taking taylor expansion of im in re
8.943 * [backup-simplify]: Simplify im into im
8.943 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.943 * [taylor]: Taking taylor expansion of im in re
8.943 * [backup-simplify]: Simplify im into im
8.943 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.944 * [backup-simplify]: Simplify (* 1 1) into 1
8.944 * [backup-simplify]: Simplify (+ 1 0) into 1
8.944 * [backup-simplify]: Simplify (sqrt 1) into 1
8.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.946 * [backup-simplify]: Simplify (+ 0 0) into 0
8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.947 * [backup-simplify]: Simplify (sqrt 0) into 0
8.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.948 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
8.948 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.948 * [taylor]: Taking taylor expansion of re in re
8.948 * [backup-simplify]: Simplify 0 into 0
8.948 * [backup-simplify]: Simplify 1 into 1
8.948 * [backup-simplify]: Simplify (/ 1 1) into 1
8.948 * [backup-simplify]: Simplify (* 0 0) into 0
8.948 * [backup-simplify]: Simplify (+ 0 0) into 0
8.948 * [taylor]: Taking taylor expansion of 0 in im
8.948 * [backup-simplify]: Simplify 0 into 0
8.949 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
8.949 * [backup-simplify]: Simplify (- 1) into -1
8.949 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.949 * [taylor]: Taking taylor expansion of -1 in im
8.949 * [backup-simplify]: Simplify -1 into -1
8.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.953 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.955 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
8.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.955 * [backup-simplify]: Simplify (- 0) into 0
8.956 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
8.956 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.956 * [taylor]: Taking taylor expansion of +nan.0 in im
8.956 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.956 * [backup-simplify]: Simplify 0 into 0
8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.958 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.958 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.959 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.960 * [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))
8.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.962 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.962 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.964 * [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))
8.965 * [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)
8.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.966 * [backup-simplify]: Simplify (- 0) into 0
8.966 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
8.966 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.966 * [taylor]: Taking taylor expansion of +nan.0 in im
8.966 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.966 * [backup-simplify]: Simplify -1 into -1
8.966 * [backup-simplify]: Simplify 0 into 0
8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.968 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.969 * [backup-simplify]: Simplify (+ 0 0) into 0
8.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.970 * [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)))
8.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.972 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.972 * [backup-simplify]: Simplify (+ 0 0) into 0
8.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.973 * [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)))
8.975 * [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)))
8.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.976 * [backup-simplify]: Simplify (- 0) into 0
8.976 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
8.976 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
8.976 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
8.976 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
8.976 * [taylor]: Taking taylor expansion of +nan.0 in im
8.976 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.976 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.976 * [taylor]: Taking taylor expansion of im in im
8.976 * [backup-simplify]: Simplify 0 into 0
8.976 * [backup-simplify]: Simplify 1 into 1
8.976 * [backup-simplify]: Simplify (* 1 1) into 1
8.977 * [backup-simplify]: Simplify (/ 1 1) into 1
8.977 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.977 * [taylor]: Taking taylor expansion of +nan.0 in im
8.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.977 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
8.978 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
8.978 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
8.979 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.979 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.980 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.981 * [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)))))
8.981 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
8.981 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
8.981 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
8.982 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
8.982 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
8.982 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
8.982 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.982 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.982 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.982 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.982 * [taylor]: Taking taylor expansion of -1 in im
8.982 * [backup-simplify]: Simplify -1 into -1
8.982 * [taylor]: Taking taylor expansion of re in im
8.982 * [backup-simplify]: Simplify re into re
8.982 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.982 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.982 * [taylor]: Taking taylor expansion of -1 in im
8.982 * [backup-simplify]: Simplify -1 into -1
8.982 * [taylor]: Taking taylor expansion of re in im
8.982 * [backup-simplify]: Simplify re into re
8.982 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.982 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.982 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.982 * [taylor]: Taking taylor expansion of -1 in im
8.982 * [backup-simplify]: Simplify -1 into -1
8.982 * [taylor]: Taking taylor expansion of im in im
8.982 * [backup-simplify]: Simplify 0 into 0
8.982 * [backup-simplify]: Simplify 1 into 1
8.983 * [backup-simplify]: Simplify (/ -1 1) into -1
8.983 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.983 * [taylor]: Taking taylor expansion of -1 in im
8.983 * [backup-simplify]: Simplify -1 into -1
8.983 * [taylor]: Taking taylor expansion of im in im
8.983 * [backup-simplify]: Simplify 0 into 0
8.983 * [backup-simplify]: Simplify 1 into 1
8.984 * [backup-simplify]: Simplify (/ -1 1) into -1
8.984 * [backup-simplify]: Simplify (* -1 -1) into 1
8.984 * [backup-simplify]: Simplify (+ 0 1) into 1
8.985 * [backup-simplify]: Simplify (sqrt 1) into 1
8.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.987 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.987 * [backup-simplify]: Simplify (+ 0 0) into 0
8.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.992 * [backup-simplify]: Simplify (sqrt 0) into 0
8.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.994 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
8.994 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.994 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.994 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.994 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.994 * [taylor]: Taking taylor expansion of -1 in im
8.994 * [backup-simplify]: Simplify -1 into -1
8.994 * [taylor]: Taking taylor expansion of re in im
8.994 * [backup-simplify]: Simplify re into re
8.994 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.994 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.994 * [taylor]: Taking taylor expansion of -1 in im
8.994 * [backup-simplify]: Simplify -1 into -1
8.994 * [taylor]: Taking taylor expansion of re in im
8.994 * [backup-simplify]: Simplify re into re
8.994 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.994 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.994 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.994 * [taylor]: Taking taylor expansion of -1 in im
8.994 * [backup-simplify]: Simplify -1 into -1
8.994 * [taylor]: Taking taylor expansion of im in im
8.994 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify 1 into 1
8.995 * [backup-simplify]: Simplify (/ -1 1) into -1
8.995 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.995 * [taylor]: Taking taylor expansion of -1 in im
8.995 * [backup-simplify]: Simplify -1 into -1
8.995 * [taylor]: Taking taylor expansion of im in im
8.995 * [backup-simplify]: Simplify 0 into 0
8.995 * [backup-simplify]: Simplify 1 into 1
8.995 * [backup-simplify]: Simplify (/ -1 1) into -1
8.995 * [backup-simplify]: Simplify (* -1 -1) into 1
8.996 * [backup-simplify]: Simplify (+ 0 1) into 1
8.996 * [backup-simplify]: Simplify (sqrt 1) into 1
8.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.997 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.998 * [backup-simplify]: Simplify (+ 0 0) into 0
8.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.998 * [backup-simplify]: Simplify (sqrt 0) into 0
8.999 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.999 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.999 * [taylor]: Taking taylor expansion of re in im
8.999 * [backup-simplify]: Simplify re into re
8.999 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.999 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
8.999 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
8.999 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
8.999 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
8.999 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.999 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.000 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.000 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.000 * [taylor]: Taking taylor expansion of -1 in re
9.000 * [backup-simplify]: Simplify -1 into -1
9.000 * [taylor]: Taking taylor expansion of re in re
9.000 * [backup-simplify]: Simplify 0 into 0
9.000 * [backup-simplify]: Simplify 1 into 1
9.000 * [backup-simplify]: Simplify (/ -1 1) into -1
9.000 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.000 * [taylor]: Taking taylor expansion of -1 in re
9.000 * [backup-simplify]: Simplify -1 into -1
9.000 * [taylor]: Taking taylor expansion of re in re
9.000 * [backup-simplify]: Simplify 0 into 0
9.000 * [backup-simplify]: Simplify 1 into 1
9.000 * [backup-simplify]: Simplify (/ -1 1) into -1
9.000 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.000 * [taylor]: Taking taylor expansion of -1 in re
9.000 * [backup-simplify]: Simplify -1 into -1
9.000 * [taylor]: Taking taylor expansion of im in re
9.000 * [backup-simplify]: Simplify im into im
9.000 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.000 * [taylor]: Taking taylor expansion of -1 in re
9.000 * [backup-simplify]: Simplify -1 into -1
9.000 * [taylor]: Taking taylor expansion of im in re
9.000 * [backup-simplify]: Simplify im into im
9.001 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.001 * [backup-simplify]: Simplify (* -1 -1) into 1
9.001 * [backup-simplify]: Simplify (+ 1 0) into 1
9.001 * [backup-simplify]: Simplify (sqrt 1) into 1
9.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.003 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.003 * [backup-simplify]: Simplify (+ 0 0) into 0
9.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.004 * [backup-simplify]: Simplify (sqrt 0) into 0
9.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.004 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.004 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.005 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.005 * [taylor]: Taking taylor expansion of -1 in re
9.005 * [backup-simplify]: Simplify -1 into -1
9.005 * [taylor]: Taking taylor expansion of re in re
9.005 * [backup-simplify]: Simplify 0 into 0
9.005 * [backup-simplify]: Simplify 1 into 1
9.005 * [backup-simplify]: Simplify (/ -1 1) into -1
9.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.005 * [taylor]: Taking taylor expansion of -1 in re
9.005 * [backup-simplify]: Simplify -1 into -1
9.005 * [taylor]: Taking taylor expansion of re in re
9.005 * [backup-simplify]: Simplify 0 into 0
9.005 * [backup-simplify]: Simplify 1 into 1
9.005 * [backup-simplify]: Simplify (/ -1 1) into -1
9.005 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.005 * [taylor]: Taking taylor expansion of -1 in re
9.005 * [backup-simplify]: Simplify -1 into -1
9.005 * [taylor]: Taking taylor expansion of im in re
9.005 * [backup-simplify]: Simplify im into im
9.005 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.006 * [taylor]: Taking taylor expansion of -1 in re
9.006 * [backup-simplify]: Simplify -1 into -1
9.006 * [taylor]: Taking taylor expansion of im in re
9.006 * [backup-simplify]: Simplify im into im
9.006 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.006 * [backup-simplify]: Simplify (* -1 -1) into 1
9.006 * [backup-simplify]: Simplify (+ 1 0) into 1
9.006 * [backup-simplify]: Simplify (sqrt 1) into 1
9.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.008 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.008 * [backup-simplify]: Simplify (+ 0 0) into 0
9.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.009 * [backup-simplify]: Simplify (sqrt 0) into 0
9.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.010 * [taylor]: Taking taylor expansion of re in re
9.010 * [backup-simplify]: Simplify 0 into 0
9.010 * [backup-simplify]: Simplify 1 into 1
9.011 * [backup-simplify]: Simplify (/ 1 1) into 1
9.011 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
9.011 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
9.011 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
9.011 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.011 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.011 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.011 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.011 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.011 * [taylor]: Taking taylor expansion of -1 in re
9.011 * [backup-simplify]: Simplify -1 into -1
9.011 * [taylor]: Taking taylor expansion of re in re
9.011 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify 1 into 1
9.011 * [backup-simplify]: Simplify (/ -1 1) into -1
9.011 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.011 * [taylor]: Taking taylor expansion of -1 in re
9.011 * [backup-simplify]: Simplify -1 into -1
9.011 * [taylor]: Taking taylor expansion of re in re
9.011 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify 1 into 1
9.012 * [backup-simplify]: Simplify (/ -1 1) into -1
9.012 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.012 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.012 * [taylor]: Taking taylor expansion of -1 in re
9.012 * [backup-simplify]: Simplify -1 into -1
9.012 * [taylor]: Taking taylor expansion of im in re
9.012 * [backup-simplify]: Simplify im into im
9.012 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.012 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.012 * [taylor]: Taking taylor expansion of -1 in re
9.012 * [backup-simplify]: Simplify -1 into -1
9.012 * [taylor]: Taking taylor expansion of im in re
9.012 * [backup-simplify]: Simplify im into im
9.012 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.012 * [backup-simplify]: Simplify (* -1 -1) into 1
9.012 * [backup-simplify]: Simplify (+ 1 0) into 1
9.013 * [backup-simplify]: Simplify (sqrt 1) into 1
9.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.014 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.014 * [backup-simplify]: Simplify (+ 0 0) into 0
9.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.015 * [backup-simplify]: Simplify (sqrt 0) into 0
9.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.016 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.016 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.016 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.016 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.016 * [taylor]: Taking taylor expansion of -1 in re
9.016 * [backup-simplify]: Simplify -1 into -1
9.016 * [taylor]: Taking taylor expansion of re in re
9.016 * [backup-simplify]: Simplify 0 into 0
9.016 * [backup-simplify]: Simplify 1 into 1
9.016 * [backup-simplify]: Simplify (/ -1 1) into -1
9.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.016 * [taylor]: Taking taylor expansion of -1 in re
9.016 * [backup-simplify]: Simplify -1 into -1
9.016 * [taylor]: Taking taylor expansion of re in re
9.016 * [backup-simplify]: Simplify 0 into 0
9.017 * [backup-simplify]: Simplify 1 into 1
9.017 * [backup-simplify]: Simplify (/ -1 1) into -1
9.017 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.017 * [taylor]: Taking taylor expansion of -1 in re
9.017 * [backup-simplify]: Simplify -1 into -1
9.017 * [taylor]: Taking taylor expansion of im in re
9.017 * [backup-simplify]: Simplify im into im
9.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.017 * [taylor]: Taking taylor expansion of -1 in re
9.017 * [backup-simplify]: Simplify -1 into -1
9.017 * [taylor]: Taking taylor expansion of im in re
9.017 * [backup-simplify]: Simplify im into im
9.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.017 * [backup-simplify]: Simplify (* -1 -1) into 1
9.018 * [backup-simplify]: Simplify (+ 1 0) into 1
9.018 * [backup-simplify]: Simplify (sqrt 1) into 1
9.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.019 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.019 * [backup-simplify]: Simplify (+ 0 0) into 0
9.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.020 * [backup-simplify]: Simplify (sqrt 0) into 0
9.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.021 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.021 * [taylor]: Taking taylor expansion of re in re
9.021 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify 1 into 1
9.021 * [backup-simplify]: Simplify (/ 1 1) into 1
9.022 * [backup-simplify]: Simplify (* 0 0) into 0
9.022 * [backup-simplify]: Simplify (+ 0 0) into 0
9.022 * [taylor]: Taking taylor expansion of 0 in im
9.022 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.023 * [backup-simplify]: Simplify (+ 0 1) into 1
9.023 * [taylor]: Taking taylor expansion of 1 in im
9.023 * [backup-simplify]: Simplify 1 into 1
9.026 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.028 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.029 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.030 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.030 * [taylor]: Taking taylor expansion of (- +nan.0) in im
9.030 * [taylor]: Taking taylor expansion of +nan.0 in im
9.030 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.030 * [backup-simplify]: Simplify 0 into 0
9.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.032 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.032 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.033 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.034 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.036 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.036 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.037 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.038 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.039 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
9.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.040 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.040 * [taylor]: Taking taylor expansion of (- +nan.0) in im
9.040 * [taylor]: Taking taylor expansion of +nan.0 in im
9.040 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.040 * [backup-simplify]: Simplify 1 into 1
9.040 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.042 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.042 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.042 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
9.043 * [backup-simplify]: Simplify (+ 0 0) into 0
9.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.044 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
9.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.046 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.046 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.046 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
9.046 * [backup-simplify]: Simplify (+ 0 0) into 0
9.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.047 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
9.049 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.050 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
9.050 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
9.050 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
9.050 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
9.050 * [taylor]: Taking taylor expansion of +nan.0 in im
9.051 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.051 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.051 * [taylor]: Taking taylor expansion of im in im
9.051 * [backup-simplify]: Simplify 0 into 0
9.051 * [backup-simplify]: Simplify 1 into 1
9.051 * [backup-simplify]: Simplify (* 1 1) into 1
9.051 * [backup-simplify]: Simplify (/ 1 1) into 1
9.051 * [taylor]: Taking taylor expansion of (- +nan.0) in im
9.051 * [taylor]: Taking taylor expansion of +nan.0 in im
9.051 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.052 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
9.052 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
9.053 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
9.053 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
9.054 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
9.054 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
9.055 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
9.056 * * * [progress]: simplifying candidates
9.056 * [simplify]: Simplifying:
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
9.057 * * [simplify]: iteration 0: 28 enodes
9.067 * * [simplify]: iteration 1: 52 enodes
9.089 * * [simplify]: iteration 2: 135 enodes
9.141 * * [simplify]: iteration 3: 455 enodes
9.408 * * [simplify]: iteration 4: 1418 enodes
11.058 * * [simplify]: iteration 5: 4960 enodes
12.060 * * [simplify]: iteration complete: 5000 enodes
12.060 * * [simplify]: Extracting #0: cost 11 inf + 0
12.060 * * [simplify]: Extracting #1: cost 134 inf + 0
12.063 * * [simplify]: Extracting #2: cost 761 inf + 2562
12.077 * * [simplify]: Extracting #3: cost 529 inf + 52242
12.131 * * [simplify]: Extracting #4: cost 38 inf + 123527
12.198 * * [simplify]: Extracting #5: cost 0 inf + 132489
12.247 * * [simplify]: Extracting #6: cost 0 inf + 132449
12.288 * [simplify]: Simplified to:
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (hypot re im)
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- im re)
  (- (- (* +nan.0 (* (/ im re) (/ im re))) +nan.0) re)
  (- (- (* +nan.0 (* (/ im re) (/ im re))) +nan.0) re)
12.289 * * * [progress]: adding candidates to table
12.397 * * [progress]: iteration 4 / 4
12.397 * * * [progress]: picking best candidate
12.427 * * * * [pick]: Picked  #<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))))>
12.427 * * * [progress]: localizing error
12.473 * * * [progress]: generating rewritten candidates
12.473 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2 1)
12.474 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 1 1)
12.475 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1)
12.498 * * * [progress]: generating series expansions
12.498 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2 1)
12.499 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
12.499 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
12.499 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
12.499 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.499 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
12.499 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
12.499 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.499 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.499 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.499 * [taylor]: Taking taylor expansion of (* re re) in im
12.499 * [taylor]: Taking taylor expansion of re in im
12.499 * [backup-simplify]: Simplify re into re
12.499 * [taylor]: Taking taylor expansion of re in im
12.499 * [backup-simplify]: Simplify re into re
12.499 * [taylor]: Taking taylor expansion of (* im im) in im
12.499 * [taylor]: Taking taylor expansion of im in im
12.499 * [backup-simplify]: Simplify 0 into 0
12.499 * [backup-simplify]: Simplify 1 into 1
12.499 * [taylor]: Taking taylor expansion of im in im
12.499 * [backup-simplify]: Simplify 0 into 0
12.499 * [backup-simplify]: Simplify 1 into 1
12.499 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.500 * [backup-simplify]: Simplify (* 0 0) into 0
12.500 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.500 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.500 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.501 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.502 * [backup-simplify]: Simplify (+ 0 0) into 0
12.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.502 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
12.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
12.502 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
12.502 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.502 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.502 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.502 * [taylor]: Taking taylor expansion of (* re re) in im
12.502 * [taylor]: Taking taylor expansion of re in im
12.502 * [backup-simplify]: Simplify re into re
12.502 * [taylor]: Taking taylor expansion of re in im
12.502 * [backup-simplify]: Simplify re into re
12.502 * [taylor]: Taking taylor expansion of (* im im) in im
12.502 * [taylor]: Taking taylor expansion of im in im
12.502 * [backup-simplify]: Simplify 0 into 0
12.502 * [backup-simplify]: Simplify 1 into 1
12.502 * [taylor]: Taking taylor expansion of im in im
12.502 * [backup-simplify]: Simplify 0 into 0
12.502 * [backup-simplify]: Simplify 1 into 1
12.502 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.503 * [backup-simplify]: Simplify (* 0 0) into 0
12.503 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.503 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.503 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.504 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.504 * [backup-simplify]: Simplify (+ 0 0) into 0
12.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.504 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
12.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
12.505 * [taylor]: Taking taylor expansion of (- re) in im
12.505 * [taylor]: Taking taylor expansion of re in im
12.505 * [backup-simplify]: Simplify re into re
12.505 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
12.505 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.505 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
12.505 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.505 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.505 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.505 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.505 * [taylor]: Taking taylor expansion of (* re re) in re
12.505 * [taylor]: Taking taylor expansion of re in re
12.505 * [backup-simplify]: Simplify 0 into 0
12.505 * [backup-simplify]: Simplify 1 into 1
12.505 * [taylor]: Taking taylor expansion of re in re
12.505 * [backup-simplify]: Simplify 0 into 0
12.505 * [backup-simplify]: Simplify 1 into 1
12.505 * [taylor]: Taking taylor expansion of (* im im) in re
12.505 * [taylor]: Taking taylor expansion of im in re
12.505 * [backup-simplify]: Simplify im into im
12.505 * [taylor]: Taking taylor expansion of im in re
12.505 * [backup-simplify]: Simplify im into im
12.506 * [backup-simplify]: Simplify (* 0 0) into 0
12.506 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.506 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.506 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.507 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.507 * [backup-simplify]: Simplify (+ 0 0) into 0
12.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.507 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.507 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.507 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.508 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.508 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.508 * [taylor]: Taking taylor expansion of (* re re) in re
12.508 * [taylor]: Taking taylor expansion of re in re
12.508 * [backup-simplify]: Simplify 0 into 0
12.508 * [backup-simplify]: Simplify 1 into 1
12.508 * [taylor]: Taking taylor expansion of re in re
12.508 * [backup-simplify]: Simplify 0 into 0
12.508 * [backup-simplify]: Simplify 1 into 1
12.508 * [taylor]: Taking taylor expansion of (* im im) in re
12.508 * [taylor]: Taking taylor expansion of im in re
12.508 * [backup-simplify]: Simplify im into im
12.508 * [taylor]: Taking taylor expansion of im in re
12.508 * [backup-simplify]: Simplify im into im
12.508 * [backup-simplify]: Simplify (* 0 0) into 0
12.508 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.508 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.509 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.509 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.509 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.510 * [backup-simplify]: Simplify (+ 0 0) into 0
12.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.510 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.510 * [taylor]: Taking taylor expansion of (- re) in re
12.510 * [taylor]: Taking taylor expansion of re in re
12.510 * [backup-simplify]: Simplify 0 into 0
12.510 * [backup-simplify]: Simplify 1 into 1
12.510 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
12.510 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.510 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
12.510 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.510 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.510 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.511 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.511 * [taylor]: Taking taylor expansion of (* re re) in re
12.511 * [taylor]: Taking taylor expansion of re in re
12.511 * [backup-simplify]: Simplify 0 into 0
12.511 * [backup-simplify]: Simplify 1 into 1
12.511 * [taylor]: Taking taylor expansion of re in re
12.511 * [backup-simplify]: Simplify 0 into 0
12.511 * [backup-simplify]: Simplify 1 into 1
12.511 * [taylor]: Taking taylor expansion of (* im im) in re
12.511 * [taylor]: Taking taylor expansion of im in re
12.511 * [backup-simplify]: Simplify im into im
12.511 * [taylor]: Taking taylor expansion of im in re
12.511 * [backup-simplify]: Simplify im into im
12.511 * [backup-simplify]: Simplify (* 0 0) into 0
12.511 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.511 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.512 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.512 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.513 * [backup-simplify]: Simplify (+ 0 0) into 0
12.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.513 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.513 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.513 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.513 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.513 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.513 * [taylor]: Taking taylor expansion of (* re re) in re
12.513 * [taylor]: Taking taylor expansion of re in re
12.513 * [backup-simplify]: Simplify 0 into 0
12.513 * [backup-simplify]: Simplify 1 into 1
12.514 * [taylor]: Taking taylor expansion of re in re
12.514 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify 1 into 1
12.514 * [taylor]: Taking taylor expansion of (* im im) in re
12.514 * [taylor]: Taking taylor expansion of im in re
12.514 * [backup-simplify]: Simplify im into im
12.514 * [taylor]: Taking taylor expansion of im in re
12.514 * [backup-simplify]: Simplify im into im
12.514 * [backup-simplify]: Simplify (* 0 0) into 0
12.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.514 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.515 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.515 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.515 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.516 * [backup-simplify]: Simplify (+ 0 0) into 0
12.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.516 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.516 * [taylor]: Taking taylor expansion of (- re) in re
12.516 * [taylor]: Taking taylor expansion of re in re
12.516 * [backup-simplify]: Simplify 0 into 0
12.516 * [backup-simplify]: Simplify 1 into 1
12.516 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
12.517 * [backup-simplify]: Simplify (- 0) into 0
12.517 * [backup-simplify]: Simplify (+ im 0) into im
12.517 * [taylor]: Taking taylor expansion of im in im
12.517 * [backup-simplify]: Simplify 0 into 0
12.517 * [backup-simplify]: Simplify 1 into 1
12.517 * [backup-simplify]: Simplify 0 into 0
12.517 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
12.517 * [backup-simplify]: Simplify (- 1) into -1
12.518 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.518 * [taylor]: Taking taylor expansion of -1 in im
12.518 * [backup-simplify]: Simplify -1 into -1
12.518 * [backup-simplify]: Simplify -1 into -1
12.518 * [backup-simplify]: Simplify 1 into 1
12.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.519 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.520 * [backup-simplify]: Simplify (+ 1 0) into 1
12.520 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.521 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
12.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.523 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.523 * [backup-simplify]: Simplify (+ 1 0) into 1
12.524 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.525 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
12.526 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
12.526 * [backup-simplify]: Simplify (- 0) into 0
12.527 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
12.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
12.527 * [taylor]: Taking taylor expansion of 1/2 in im
12.527 * [backup-simplify]: Simplify 1/2 into 1/2
12.527 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.527 * [taylor]: Taking taylor expansion of im in im
12.527 * [backup-simplify]: Simplify 0 into 0
12.527 * [backup-simplify]: Simplify 1 into 1
12.527 * [backup-simplify]: Simplify (/ 1 1) into 1
12.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.531 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.531 * [backup-simplify]: Simplify (+ 0 0) into 0
12.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
12.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.534 * [backup-simplify]: Simplify (+ 0 0) into 0
12.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
12.535 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
12.536 * [backup-simplify]: Simplify (- 0) into 0
12.536 * [backup-simplify]: Simplify (+ 0 0) into 0
12.536 * [taylor]: Taking taylor expansion of 0 in im
12.536 * [backup-simplify]: Simplify 0 into 0
12.536 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.538 * [backup-simplify]: Simplify 0 into 0
12.538 * [backup-simplify]: Simplify 0 into 0
12.538 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
12.538 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
12.538 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
12.538 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
12.539 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
12.539 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
12.539 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
12.539 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.539 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.539 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.539 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.539 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.539 * [taylor]: Taking taylor expansion of re in im
12.539 * [backup-simplify]: Simplify re into re
12.539 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.539 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.539 * [taylor]: Taking taylor expansion of re in im
12.539 * [backup-simplify]: Simplify re into re
12.539 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.539 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.539 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.539 * [taylor]: Taking taylor expansion of im in im
12.539 * [backup-simplify]: Simplify 0 into 0
12.539 * [backup-simplify]: Simplify 1 into 1
12.540 * [backup-simplify]: Simplify (/ 1 1) into 1
12.540 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.540 * [taylor]: Taking taylor expansion of im in im
12.540 * [backup-simplify]: Simplify 0 into 0
12.540 * [backup-simplify]: Simplify 1 into 1
12.540 * [backup-simplify]: Simplify (/ 1 1) into 1
12.540 * [backup-simplify]: Simplify (* 1 1) into 1
12.541 * [backup-simplify]: Simplify (+ 0 1) into 1
12.541 * [backup-simplify]: Simplify (sqrt 1) into 1
12.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.544 * [backup-simplify]: Simplify (+ 0 0) into 0
12.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.545 * [backup-simplify]: Simplify (sqrt 0) into 0
12.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.546 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
12.546 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.546 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.546 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.546 * [taylor]: Taking taylor expansion of re in im
12.546 * [backup-simplify]: Simplify re into re
12.546 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.546 * [taylor]: Taking taylor expansion of re in im
12.546 * [backup-simplify]: Simplify re into re
12.547 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.547 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.547 * [taylor]: Taking taylor expansion of im in im
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify 1 into 1
12.547 * [backup-simplify]: Simplify (/ 1 1) into 1
12.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.547 * [taylor]: Taking taylor expansion of im in im
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify 1 into 1
12.547 * [backup-simplify]: Simplify (/ 1 1) into 1
12.548 * [backup-simplify]: Simplify (* 1 1) into 1
12.548 * [backup-simplify]: Simplify (+ 0 1) into 1
12.549 * [backup-simplify]: Simplify (sqrt 1) into 1
12.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.551 * [backup-simplify]: Simplify (+ 0 0) into 0
12.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.552 * [backup-simplify]: Simplify (sqrt 0) into 0
12.553 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.553 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
12.553 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.553 * [taylor]: Taking taylor expansion of re in im
12.554 * [backup-simplify]: Simplify re into re
12.554 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.554 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
12.554 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
12.554 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
12.554 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.554 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.554 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.554 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.554 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.554 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.554 * [taylor]: Taking taylor expansion of re in re
12.554 * [backup-simplify]: Simplify 0 into 0
12.554 * [backup-simplify]: Simplify 1 into 1
12.555 * [backup-simplify]: Simplify (/ 1 1) into 1
12.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.555 * [taylor]: Taking taylor expansion of re in re
12.555 * [backup-simplify]: Simplify 0 into 0
12.555 * [backup-simplify]: Simplify 1 into 1
12.555 * [backup-simplify]: Simplify (/ 1 1) into 1
12.555 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.555 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.555 * [taylor]: Taking taylor expansion of im in re
12.555 * [backup-simplify]: Simplify im into im
12.555 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.555 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.555 * [taylor]: Taking taylor expansion of im in re
12.555 * [backup-simplify]: Simplify im into im
12.555 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.556 * [backup-simplify]: Simplify (* 1 1) into 1
12.556 * [backup-simplify]: Simplify (+ 1 0) into 1
12.557 * [backup-simplify]: Simplify (sqrt 1) into 1
12.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.559 * [backup-simplify]: Simplify (+ 0 0) into 0
12.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.560 * [backup-simplify]: Simplify (sqrt 0) into 0
12.562 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.562 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.562 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.562 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.562 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.562 * [taylor]: Taking taylor expansion of re in re
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify 1 into 1
12.563 * [backup-simplify]: Simplify (/ 1 1) into 1
12.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.563 * [taylor]: Taking taylor expansion of re in re
12.563 * [backup-simplify]: Simplify 0 into 0
12.563 * [backup-simplify]: Simplify 1 into 1
12.563 * [backup-simplify]: Simplify (/ 1 1) into 1
12.563 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.563 * [taylor]: Taking taylor expansion of im in re
12.563 * [backup-simplify]: Simplify im into im
12.563 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.564 * [taylor]: Taking taylor expansion of im in re
12.564 * [backup-simplify]: Simplify im into im
12.564 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.564 * [backup-simplify]: Simplify (* 1 1) into 1
12.564 * [backup-simplify]: Simplify (+ 1 0) into 1
12.565 * [backup-simplify]: Simplify (sqrt 1) into 1
12.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.568 * [backup-simplify]: Simplify (+ 0 0) into 0
12.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.569 * [backup-simplify]: Simplify (sqrt 0) into 0
12.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.570 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
12.570 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.570 * [taylor]: Taking taylor expansion of re in re
12.570 * [backup-simplify]: Simplify 0 into 0
12.570 * [backup-simplify]: Simplify 1 into 1
12.571 * [backup-simplify]: Simplify (/ 1 1) into 1
12.571 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
12.571 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
12.571 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
12.571 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.571 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.571 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.571 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.571 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.571 * [taylor]: Taking taylor expansion of re in re
12.571 * [backup-simplify]: Simplify 0 into 0
12.571 * [backup-simplify]: Simplify 1 into 1
12.572 * [backup-simplify]: Simplify (/ 1 1) into 1
12.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.572 * [taylor]: Taking taylor expansion of re in re
12.572 * [backup-simplify]: Simplify 0 into 0
12.572 * [backup-simplify]: Simplify 1 into 1
12.572 * [backup-simplify]: Simplify (/ 1 1) into 1
12.572 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.572 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.572 * [taylor]: Taking taylor expansion of im in re
12.572 * [backup-simplify]: Simplify im into im
12.573 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.573 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.573 * [taylor]: Taking taylor expansion of im in re
12.573 * [backup-simplify]: Simplify im into im
12.573 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.573 * [backup-simplify]: Simplify (* 1 1) into 1
12.574 * [backup-simplify]: Simplify (+ 1 0) into 1
12.574 * [backup-simplify]: Simplify (sqrt 1) into 1
12.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.577 * [backup-simplify]: Simplify (+ 0 0) into 0
12.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.578 * [backup-simplify]: Simplify (sqrt 0) into 0
12.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.579 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.579 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.579 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.580 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.580 * [taylor]: Taking taylor expansion of re in re
12.580 * [backup-simplify]: Simplify 0 into 0
12.580 * [backup-simplify]: Simplify 1 into 1
12.580 * [backup-simplify]: Simplify (/ 1 1) into 1
12.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.580 * [taylor]: Taking taylor expansion of re in re
12.580 * [backup-simplify]: Simplify 0 into 0
12.580 * [backup-simplify]: Simplify 1 into 1
12.586 * [backup-simplify]: Simplify (/ 1 1) into 1
12.586 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.586 * [taylor]: Taking taylor expansion of im in re
12.586 * [backup-simplify]: Simplify im into im
12.586 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.586 * [taylor]: Taking taylor expansion of im in re
12.586 * [backup-simplify]: Simplify im into im
12.586 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.587 * [backup-simplify]: Simplify (* 1 1) into 1
12.587 * [backup-simplify]: Simplify (+ 1 0) into 1
12.587 * [backup-simplify]: Simplify (sqrt 1) into 1
12.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.590 * [backup-simplify]: Simplify (+ 0 0) into 0
12.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.591 * [backup-simplify]: Simplify (sqrt 0) into 0
12.593 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.593 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
12.593 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.593 * [taylor]: Taking taylor expansion of re in re
12.593 * [backup-simplify]: Simplify 0 into 0
12.593 * [backup-simplify]: Simplify 1 into 1
12.593 * [backup-simplify]: Simplify (/ 1 1) into 1
12.594 * [backup-simplify]: Simplify (* 0 0) into 0
12.594 * [backup-simplify]: Simplify (+ 0 0) into 0
12.594 * [taylor]: Taking taylor expansion of 0 in im
12.594 * [backup-simplify]: Simplify 0 into 0
12.595 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
12.595 * [backup-simplify]: Simplify (- 1) into -1
12.596 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.596 * [taylor]: Taking taylor expansion of -1 in im
12.596 * [backup-simplify]: Simplify -1 into -1
12.599 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.602 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.605 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
12.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.606 * [backup-simplify]: Simplify (- 0) into 0
12.607 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.607 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.607 * [taylor]: Taking taylor expansion of +nan.0 in im
12.607 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.607 * [backup-simplify]: Simplify 0 into 0
12.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.610 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.610 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.611 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.613 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.616 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.616 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.618 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.620 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.621 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
12.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.622 * [backup-simplify]: Simplify (- 0) into 0
12.624 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.624 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.624 * [taylor]: Taking taylor expansion of +nan.0 in im
12.624 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.624 * [backup-simplify]: Simplify -1 into -1
12.624 * [backup-simplify]: Simplify 0 into 0
12.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.627 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.628 * [backup-simplify]: Simplify (+ 0 0) into 0
12.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.630 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.633 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.634 * [backup-simplify]: Simplify (+ 0 0) into 0
12.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.636 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.638 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.640 * [backup-simplify]: Simplify (- 0) into 0
12.640 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.640 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
12.641 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
12.641 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
12.641 * [taylor]: Taking taylor expansion of +nan.0 in im
12.641 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.641 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.641 * [taylor]: Taking taylor expansion of im in im
12.641 * [backup-simplify]: Simplify 0 into 0
12.641 * [backup-simplify]: Simplify 1 into 1
12.641 * [backup-simplify]: Simplify (* 1 1) into 1
12.642 * [backup-simplify]: Simplify (/ 1 1) into 1
12.642 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.642 * [taylor]: Taking taylor expansion of +nan.0 in im
12.642 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.642 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
12.642 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.643 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
12.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.646 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
12.646 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
12.646 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
12.646 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
12.647 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
12.647 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
12.647 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
12.647 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.647 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.647 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.647 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.647 * [taylor]: Taking taylor expansion of -1 in im
12.647 * [backup-simplify]: Simplify -1 into -1
12.647 * [taylor]: Taking taylor expansion of re in im
12.647 * [backup-simplify]: Simplify re into re
12.647 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.647 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.647 * [taylor]: Taking taylor expansion of -1 in im
12.647 * [backup-simplify]: Simplify -1 into -1
12.647 * [taylor]: Taking taylor expansion of re in im
12.647 * [backup-simplify]: Simplify re into re
12.647 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.647 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.647 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.647 * [taylor]: Taking taylor expansion of -1 in im
12.647 * [backup-simplify]: Simplify -1 into -1
12.647 * [taylor]: Taking taylor expansion of im in im
12.647 * [backup-simplify]: Simplify 0 into 0
12.647 * [backup-simplify]: Simplify 1 into 1
12.648 * [backup-simplify]: Simplify (/ -1 1) into -1
12.648 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.648 * [taylor]: Taking taylor expansion of -1 in im
12.648 * [backup-simplify]: Simplify -1 into -1
12.648 * [taylor]: Taking taylor expansion of im in im
12.648 * [backup-simplify]: Simplify 0 into 0
12.648 * [backup-simplify]: Simplify 1 into 1
12.649 * [backup-simplify]: Simplify (/ -1 1) into -1
12.649 * [backup-simplify]: Simplify (* -1 -1) into 1
12.649 * [backup-simplify]: Simplify (+ 0 1) into 1
12.650 * [backup-simplify]: Simplify (sqrt 1) into 1
12.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.652 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.653 * [backup-simplify]: Simplify (+ 0 0) into 0
12.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.654 * [backup-simplify]: Simplify (sqrt 0) into 0
12.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.655 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
12.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.655 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.655 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.655 * [taylor]: Taking taylor expansion of -1 in im
12.656 * [backup-simplify]: Simplify -1 into -1
12.656 * [taylor]: Taking taylor expansion of re in im
12.656 * [backup-simplify]: Simplify re into re
12.656 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.656 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.656 * [taylor]: Taking taylor expansion of -1 in im
12.656 * [backup-simplify]: Simplify -1 into -1
12.656 * [taylor]: Taking taylor expansion of re in im
12.656 * [backup-simplify]: Simplify re into re
12.656 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.656 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.656 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.656 * [taylor]: Taking taylor expansion of -1 in im
12.656 * [backup-simplify]: Simplify -1 into -1
12.656 * [taylor]: Taking taylor expansion of im in im
12.656 * [backup-simplify]: Simplify 0 into 0
12.656 * [backup-simplify]: Simplify 1 into 1
12.656 * [backup-simplify]: Simplify (/ -1 1) into -1
12.657 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.657 * [taylor]: Taking taylor expansion of -1 in im
12.657 * [backup-simplify]: Simplify -1 into -1
12.657 * [taylor]: Taking taylor expansion of im in im
12.657 * [backup-simplify]: Simplify 0 into 0
12.657 * [backup-simplify]: Simplify 1 into 1
12.657 * [backup-simplify]: Simplify (/ -1 1) into -1
12.657 * [backup-simplify]: Simplify (* -1 -1) into 1
12.658 * [backup-simplify]: Simplify (+ 0 1) into 1
12.658 * [backup-simplify]: Simplify (sqrt 1) into 1
12.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.661 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.661 * [backup-simplify]: Simplify (+ 0 0) into 0
12.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.662 * [backup-simplify]: Simplify (sqrt 0) into 0
12.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.664 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.664 * [taylor]: Taking taylor expansion of re in im
12.664 * [backup-simplify]: Simplify re into re
12.664 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.664 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
12.664 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
12.664 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
12.664 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.664 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.664 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.664 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.664 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.664 * [taylor]: Taking taylor expansion of -1 in re
12.664 * [backup-simplify]: Simplify -1 into -1
12.664 * [taylor]: Taking taylor expansion of re in re
12.664 * [backup-simplify]: Simplify 0 into 0
12.664 * [backup-simplify]: Simplify 1 into 1
12.665 * [backup-simplify]: Simplify (/ -1 1) into -1
12.665 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.665 * [taylor]: Taking taylor expansion of -1 in re
12.665 * [backup-simplify]: Simplify -1 into -1
12.665 * [taylor]: Taking taylor expansion of re in re
12.665 * [backup-simplify]: Simplify 0 into 0
12.665 * [backup-simplify]: Simplify 1 into 1
12.666 * [backup-simplify]: Simplify (/ -1 1) into -1
12.666 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.666 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.666 * [taylor]: Taking taylor expansion of -1 in re
12.666 * [backup-simplify]: Simplify -1 into -1
12.666 * [taylor]: Taking taylor expansion of im in re
12.666 * [backup-simplify]: Simplify im into im
12.666 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.666 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.666 * [taylor]: Taking taylor expansion of -1 in re
12.666 * [backup-simplify]: Simplify -1 into -1
12.666 * [taylor]: Taking taylor expansion of im in re
12.666 * [backup-simplify]: Simplify im into im
12.666 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.666 * [backup-simplify]: Simplify (* -1 -1) into 1
12.667 * [backup-simplify]: Simplify (+ 1 0) into 1
12.667 * [backup-simplify]: Simplify (sqrt 1) into 1
12.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.670 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.670 * [backup-simplify]: Simplify (+ 0 0) into 0
12.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.671 * [backup-simplify]: Simplify (sqrt 0) into 0
12.672 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.672 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.672 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.673 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.673 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.673 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.673 * [taylor]: Taking taylor expansion of -1 in re
12.673 * [backup-simplify]: Simplify -1 into -1
12.673 * [taylor]: Taking taylor expansion of re in re
12.673 * [backup-simplify]: Simplify 0 into 0
12.673 * [backup-simplify]: Simplify 1 into 1
12.673 * [backup-simplify]: Simplify (/ -1 1) into -1
12.673 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.673 * [taylor]: Taking taylor expansion of -1 in re
12.673 * [backup-simplify]: Simplify -1 into -1
12.673 * [taylor]: Taking taylor expansion of re in re
12.673 * [backup-simplify]: Simplify 0 into 0
12.673 * [backup-simplify]: Simplify 1 into 1
12.674 * [backup-simplify]: Simplify (/ -1 1) into -1
12.674 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.674 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.674 * [taylor]: Taking taylor expansion of -1 in re
12.674 * [backup-simplify]: Simplify -1 into -1
12.674 * [taylor]: Taking taylor expansion of im in re
12.674 * [backup-simplify]: Simplify im into im
12.674 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.674 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.674 * [taylor]: Taking taylor expansion of -1 in re
12.674 * [backup-simplify]: Simplify -1 into -1
12.674 * [taylor]: Taking taylor expansion of im in re
12.674 * [backup-simplify]: Simplify im into im
12.674 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.675 * [backup-simplify]: Simplify (* -1 -1) into 1
12.675 * [backup-simplify]: Simplify (+ 1 0) into 1
12.676 * [backup-simplify]: Simplify (sqrt 1) into 1
12.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.678 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.678 * [backup-simplify]: Simplify (+ 0 0) into 0
12.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.679 * [backup-simplify]: Simplify (sqrt 0) into 0
12.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.681 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.681 * [taylor]: Taking taylor expansion of re in re
12.681 * [backup-simplify]: Simplify 0 into 0
12.681 * [backup-simplify]: Simplify 1 into 1
12.682 * [backup-simplify]: Simplify (/ 1 1) into 1
12.682 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
12.682 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
12.682 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
12.682 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.682 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.682 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.682 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.682 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.682 * [taylor]: Taking taylor expansion of -1 in re
12.682 * [backup-simplify]: Simplify -1 into -1
12.682 * [taylor]: Taking taylor expansion of re in re
12.682 * [backup-simplify]: Simplify 0 into 0
12.682 * [backup-simplify]: Simplify 1 into 1
12.683 * [backup-simplify]: Simplify (/ -1 1) into -1
12.683 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.683 * [taylor]: Taking taylor expansion of -1 in re
12.683 * [backup-simplify]: Simplify -1 into -1
12.683 * [taylor]: Taking taylor expansion of re in re
12.683 * [backup-simplify]: Simplify 0 into 0
12.683 * [backup-simplify]: Simplify 1 into 1
12.684 * [backup-simplify]: Simplify (/ -1 1) into -1
12.684 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.684 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.684 * [taylor]: Taking taylor expansion of -1 in re
12.684 * [backup-simplify]: Simplify -1 into -1
12.684 * [taylor]: Taking taylor expansion of im in re
12.684 * [backup-simplify]: Simplify im into im
12.684 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.684 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.684 * [taylor]: Taking taylor expansion of -1 in re
12.684 * [backup-simplify]: Simplify -1 into -1
12.684 * [taylor]: Taking taylor expansion of im in re
12.684 * [backup-simplify]: Simplify im into im
12.684 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.685 * [backup-simplify]: Simplify (* -1 -1) into 1
12.685 * [backup-simplify]: Simplify (+ 1 0) into 1
12.685 * [backup-simplify]: Simplify (sqrt 1) into 1
12.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.688 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.688 * [backup-simplify]: Simplify (+ 0 0) into 0
12.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.689 * [backup-simplify]: Simplify (sqrt 0) into 0
12.691 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.691 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.691 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.691 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.691 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.691 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.691 * [taylor]: Taking taylor expansion of -1 in re
12.691 * [backup-simplify]: Simplify -1 into -1
12.691 * [taylor]: Taking taylor expansion of re in re
12.691 * [backup-simplify]: Simplify 0 into 0
12.691 * [backup-simplify]: Simplify 1 into 1
12.692 * [backup-simplify]: Simplify (/ -1 1) into -1
12.692 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.692 * [taylor]: Taking taylor expansion of -1 in re
12.692 * [backup-simplify]: Simplify -1 into -1
12.692 * [taylor]: Taking taylor expansion of re in re
12.692 * [backup-simplify]: Simplify 0 into 0
12.692 * [backup-simplify]: Simplify 1 into 1
12.692 * [backup-simplify]: Simplify (/ -1 1) into -1
12.692 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.692 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.692 * [taylor]: Taking taylor expansion of -1 in re
12.692 * [backup-simplify]: Simplify -1 into -1
12.692 * [taylor]: Taking taylor expansion of im in re
12.693 * [backup-simplify]: Simplify im into im
12.693 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.693 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.693 * [taylor]: Taking taylor expansion of -1 in re
12.693 * [backup-simplify]: Simplify -1 into -1
12.693 * [taylor]: Taking taylor expansion of im in re
12.693 * [backup-simplify]: Simplify im into im
12.693 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.693 * [backup-simplify]: Simplify (* -1 -1) into 1
12.694 * [backup-simplify]: Simplify (+ 1 0) into 1
12.694 * [backup-simplify]: Simplify (sqrt 1) into 1
12.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.696 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.697 * [backup-simplify]: Simplify (+ 0 0) into 0
12.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.698 * [backup-simplify]: Simplify (sqrt 0) into 0
12.699 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.699 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.699 * [taylor]: Taking taylor expansion of re in re
12.699 * [backup-simplify]: Simplify 0 into 0
12.699 * [backup-simplify]: Simplify 1 into 1
12.700 * [backup-simplify]: Simplify (/ 1 1) into 1
12.700 * [backup-simplify]: Simplify (* 0 0) into 0
12.701 * [backup-simplify]: Simplify (+ 0 0) into 0
12.701 * [taylor]: Taking taylor expansion of 0 in im
12.701 * [backup-simplify]: Simplify 0 into 0
12.701 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
12.702 * [backup-simplify]: Simplify (+ 0 1) into 1
12.702 * [taylor]: Taking taylor expansion of 1 in im
12.702 * [backup-simplify]: Simplify 1 into 1
12.705 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.708 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.711 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
12.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.712 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.712 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.713 * [taylor]: Taking taylor expansion of +nan.0 in im
12.713 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.713 * [backup-simplify]: Simplify 0 into 0
12.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.716 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.716 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.717 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.719 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.723 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.723 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.726 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.728 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
12.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.729 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.729 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.729 * [taylor]: Taking taylor expansion of +nan.0 in im
12.729 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.729 * [backup-simplify]: Simplify 1 into 1
12.729 * [backup-simplify]: Simplify 0 into 0
12.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.731 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.731 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.732 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.733 * [backup-simplify]: Simplify (+ 0 0) into 0
12.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.735 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.737 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.737 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.737 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.738 * [backup-simplify]: Simplify (+ 0 0) into 0
12.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.739 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.740 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.741 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.741 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
12.741 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
12.741 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
12.741 * [taylor]: Taking taylor expansion of +nan.0 in im
12.741 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.741 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.741 * [taylor]: Taking taylor expansion of im in im
12.741 * [backup-simplify]: Simplify 0 into 0
12.741 * [backup-simplify]: Simplify 1 into 1
12.742 * [backup-simplify]: Simplify (* 1 1) into 1
12.742 * [backup-simplify]: Simplify (/ 1 1) into 1
12.742 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.742 * [taylor]: Taking taylor expansion of +nan.0 in im
12.742 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.742 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
12.742 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.743 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
12.743 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.743 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.744 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.744 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
12.744 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 1 1)
12.745 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
12.745 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
12.745 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
12.745 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.745 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
12.745 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
12.745 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.745 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.745 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.745 * [taylor]: Taking taylor expansion of (* re re) in im
12.745 * [taylor]: Taking taylor expansion of re in im
12.745 * [backup-simplify]: Simplify re into re
12.745 * [taylor]: Taking taylor expansion of re in im
12.745 * [backup-simplify]: Simplify re into re
12.745 * [taylor]: Taking taylor expansion of (* im im) in im
12.745 * [taylor]: Taking taylor expansion of im in im
12.745 * [backup-simplify]: Simplify 0 into 0
12.745 * [backup-simplify]: Simplify 1 into 1
12.745 * [taylor]: Taking taylor expansion of im in im
12.745 * [backup-simplify]: Simplify 0 into 0
12.745 * [backup-simplify]: Simplify 1 into 1
12.745 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.745 * [backup-simplify]: Simplify (* 0 0) into 0
12.746 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.746 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.746 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.746 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.746 * [backup-simplify]: Simplify (+ 0 0) into 0
12.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.746 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
12.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
12.746 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
12.747 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.747 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.747 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.747 * [taylor]: Taking taylor expansion of (* re re) in im
12.747 * [taylor]: Taking taylor expansion of re in im
12.747 * [backup-simplify]: Simplify re into re
12.747 * [taylor]: Taking taylor expansion of re in im
12.747 * [backup-simplify]: Simplify re into re
12.747 * [taylor]: Taking taylor expansion of (* im im) in im
12.747 * [taylor]: Taking taylor expansion of im in im
12.747 * [backup-simplify]: Simplify 0 into 0
12.747 * [backup-simplify]: Simplify 1 into 1
12.747 * [taylor]: Taking taylor expansion of im in im
12.747 * [backup-simplify]: Simplify 0 into 0
12.747 * [backup-simplify]: Simplify 1 into 1
12.747 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.747 * [backup-simplify]: Simplify (* 0 0) into 0
12.747 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.747 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.747 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.748 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.748 * [backup-simplify]: Simplify (+ 0 0) into 0
12.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.748 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
12.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
12.748 * [taylor]: Taking taylor expansion of (- re) in im
12.748 * [taylor]: Taking taylor expansion of re in im
12.748 * [backup-simplify]: Simplify re into re
12.748 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
12.748 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.748 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
12.748 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.748 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.748 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.748 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.748 * [taylor]: Taking taylor expansion of (* re re) in re
12.748 * [taylor]: Taking taylor expansion of re in re
12.748 * [backup-simplify]: Simplify 0 into 0
12.748 * [backup-simplify]: Simplify 1 into 1
12.748 * [taylor]: Taking taylor expansion of re in re
12.749 * [backup-simplify]: Simplify 0 into 0
12.749 * [backup-simplify]: Simplify 1 into 1
12.749 * [taylor]: Taking taylor expansion of (* im im) in re
12.749 * [taylor]: Taking taylor expansion of im in re
12.749 * [backup-simplify]: Simplify im into im
12.749 * [taylor]: Taking taylor expansion of im in re
12.749 * [backup-simplify]: Simplify im into im
12.749 * [backup-simplify]: Simplify (* 0 0) into 0
12.749 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.749 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.749 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.749 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.750 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.750 * [backup-simplify]: Simplify (+ 0 0) into 0
12.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.750 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.750 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.750 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.750 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.750 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.750 * [taylor]: Taking taylor expansion of (* re re) in re
12.750 * [taylor]: Taking taylor expansion of re in re
12.750 * [backup-simplify]: Simplify 0 into 0
12.750 * [backup-simplify]: Simplify 1 into 1
12.750 * [taylor]: Taking taylor expansion of re in re
12.750 * [backup-simplify]: Simplify 0 into 0
12.750 * [backup-simplify]: Simplify 1 into 1
12.750 * [taylor]: Taking taylor expansion of (* im im) in re
12.750 * [taylor]: Taking taylor expansion of im in re
12.750 * [backup-simplify]: Simplify im into im
12.750 * [taylor]: Taking taylor expansion of im in re
12.750 * [backup-simplify]: Simplify im into im
12.751 * [backup-simplify]: Simplify (* 0 0) into 0
12.751 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.751 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.751 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.751 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.751 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.751 * [backup-simplify]: Simplify (+ 0 0) into 0
12.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.752 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.752 * [taylor]: Taking taylor expansion of (- re) in re
12.752 * [taylor]: Taking taylor expansion of re in re
12.752 * [backup-simplify]: Simplify 0 into 0
12.752 * [backup-simplify]: Simplify 1 into 1
12.752 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
12.752 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.752 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
12.752 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.752 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.752 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.752 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.752 * [taylor]: Taking taylor expansion of (* re re) in re
12.752 * [taylor]: Taking taylor expansion of re in re
12.752 * [backup-simplify]: Simplify 0 into 0
12.752 * [backup-simplify]: Simplify 1 into 1
12.752 * [taylor]: Taking taylor expansion of re in re
12.752 * [backup-simplify]: Simplify 0 into 0
12.752 * [backup-simplify]: Simplify 1 into 1
12.752 * [taylor]: Taking taylor expansion of (* im im) in re
12.752 * [taylor]: Taking taylor expansion of im in re
12.752 * [backup-simplify]: Simplify im into im
12.752 * [taylor]: Taking taylor expansion of im in re
12.752 * [backup-simplify]: Simplify im into im
12.752 * [backup-simplify]: Simplify (* 0 0) into 0
12.752 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.753 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.753 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.753 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.753 * [backup-simplify]: Simplify (+ 0 0) into 0
12.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.753 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.754 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.754 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.754 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.754 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.754 * [taylor]: Taking taylor expansion of (* re re) in re
12.754 * [taylor]: Taking taylor expansion of re in re
12.754 * [backup-simplify]: Simplify 0 into 0
12.754 * [backup-simplify]: Simplify 1 into 1
12.754 * [taylor]: Taking taylor expansion of re in re
12.754 * [backup-simplify]: Simplify 0 into 0
12.754 * [backup-simplify]: Simplify 1 into 1
12.754 * [taylor]: Taking taylor expansion of (* im im) in re
12.754 * [taylor]: Taking taylor expansion of im in re
12.754 * [backup-simplify]: Simplify im into im
12.754 * [taylor]: Taking taylor expansion of im in re
12.754 * [backup-simplify]: Simplify im into im
12.754 * [backup-simplify]: Simplify (* 0 0) into 0
12.754 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.754 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.754 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.755 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.755 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.755 * [backup-simplify]: Simplify (+ 0 0) into 0
12.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.755 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.755 * [taylor]: Taking taylor expansion of (- re) in re
12.755 * [taylor]: Taking taylor expansion of re in re
12.755 * [backup-simplify]: Simplify 0 into 0
12.755 * [backup-simplify]: Simplify 1 into 1
12.755 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
12.756 * [backup-simplify]: Simplify (- 0) into 0
12.756 * [backup-simplify]: Simplify (+ im 0) into im
12.756 * [taylor]: Taking taylor expansion of im in im
12.756 * [backup-simplify]: Simplify 0 into 0
12.756 * [backup-simplify]: Simplify 1 into 1
12.756 * [backup-simplify]: Simplify 0 into 0
12.756 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
12.756 * [backup-simplify]: Simplify (- 1) into -1
12.756 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.756 * [taylor]: Taking taylor expansion of -1 in im
12.756 * [backup-simplify]: Simplify -1 into -1
12.756 * [backup-simplify]: Simplify -1 into -1
12.756 * [backup-simplify]: Simplify 1 into 1
12.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.757 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.757 * [backup-simplify]: Simplify (+ 1 0) into 1
12.758 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.758 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
12.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.759 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.759 * [backup-simplify]: Simplify (+ 1 0) into 1
12.760 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.761 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
12.761 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
12.762 * [backup-simplify]: Simplify (- 0) into 0
12.762 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
12.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
12.762 * [taylor]: Taking taylor expansion of 1/2 in im
12.762 * [backup-simplify]: Simplify 1/2 into 1/2
12.762 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.762 * [taylor]: Taking taylor expansion of im in im
12.762 * [backup-simplify]: Simplify 0 into 0
12.762 * [backup-simplify]: Simplify 1 into 1
12.762 * [backup-simplify]: Simplify (/ 1 1) into 1
12.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.764 * [backup-simplify]: Simplify 0 into 0
12.764 * [backup-simplify]: Simplify 0 into 0
12.764 * [backup-simplify]: Simplify 0 into 0
12.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.766 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.766 * [backup-simplify]: Simplify (+ 0 0) into 0
12.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
12.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.769 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.769 * [backup-simplify]: Simplify (+ 0 0) into 0
12.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
12.770 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
12.771 * [backup-simplify]: Simplify (- 0) into 0
12.771 * [backup-simplify]: Simplify (+ 0 0) into 0
12.771 * [taylor]: Taking taylor expansion of 0 in im
12.771 * [backup-simplify]: Simplify 0 into 0
12.771 * [backup-simplify]: Simplify 0 into 0
12.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.773 * [backup-simplify]: Simplify 0 into 0
12.773 * [backup-simplify]: Simplify 0 into 0
12.773 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
12.773 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
12.773 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
12.773 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
12.774 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
12.774 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
12.774 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
12.774 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.774 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.774 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.774 * [taylor]: Taking taylor expansion of re in im
12.774 * [backup-simplify]: Simplify re into re
12.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.774 * [taylor]: Taking taylor expansion of re in im
12.774 * [backup-simplify]: Simplify re into re
12.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.774 * [taylor]: Taking taylor expansion of im in im
12.774 * [backup-simplify]: Simplify 0 into 0
12.774 * [backup-simplify]: Simplify 1 into 1
12.774 * [backup-simplify]: Simplify (/ 1 1) into 1
12.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.774 * [taylor]: Taking taylor expansion of im in im
12.774 * [backup-simplify]: Simplify 0 into 0
12.774 * [backup-simplify]: Simplify 1 into 1
12.775 * [backup-simplify]: Simplify (/ 1 1) into 1
12.775 * [backup-simplify]: Simplify (* 1 1) into 1
12.775 * [backup-simplify]: Simplify (+ 0 1) into 1
12.775 * [backup-simplify]: Simplify (sqrt 1) into 1
12.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.777 * [backup-simplify]: Simplify (+ 0 0) into 0
12.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.777 * [backup-simplify]: Simplify (sqrt 0) into 0
12.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.778 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
12.778 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.778 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.778 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.778 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.778 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.778 * [taylor]: Taking taylor expansion of re in im
12.778 * [backup-simplify]: Simplify re into re
12.779 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.779 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.779 * [taylor]: Taking taylor expansion of re in im
12.779 * [backup-simplify]: Simplify re into re
12.779 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.779 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.779 * [taylor]: Taking taylor expansion of im in im
12.779 * [backup-simplify]: Simplify 0 into 0
12.779 * [backup-simplify]: Simplify 1 into 1
12.779 * [backup-simplify]: Simplify (/ 1 1) into 1
12.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.779 * [taylor]: Taking taylor expansion of im in im
12.779 * [backup-simplify]: Simplify 0 into 0
12.779 * [backup-simplify]: Simplify 1 into 1
12.779 * [backup-simplify]: Simplify (/ 1 1) into 1
12.779 * [backup-simplify]: Simplify (* 1 1) into 1
12.780 * [backup-simplify]: Simplify (+ 0 1) into 1
12.780 * [backup-simplify]: Simplify (sqrt 1) into 1
12.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.782 * [backup-simplify]: Simplify (+ 0 0) into 0
12.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.782 * [backup-simplify]: Simplify (sqrt 0) into 0
12.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.783 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
12.783 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.783 * [taylor]: Taking taylor expansion of re in im
12.783 * [backup-simplify]: Simplify re into re
12.783 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.783 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
12.783 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
12.783 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
12.783 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.783 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.783 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.783 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.783 * [taylor]: Taking taylor expansion of re in re
12.783 * [backup-simplify]: Simplify 0 into 0
12.783 * [backup-simplify]: Simplify 1 into 1
12.784 * [backup-simplify]: Simplify (/ 1 1) into 1
12.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.784 * [taylor]: Taking taylor expansion of re in re
12.784 * [backup-simplify]: Simplify 0 into 0
12.784 * [backup-simplify]: Simplify 1 into 1
12.784 * [backup-simplify]: Simplify (/ 1 1) into 1
12.784 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.784 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.784 * [taylor]: Taking taylor expansion of im in re
12.784 * [backup-simplify]: Simplify im into im
12.784 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.784 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.784 * [taylor]: Taking taylor expansion of im in re
12.784 * [backup-simplify]: Simplify im into im
12.784 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.785 * [backup-simplify]: Simplify (* 1 1) into 1
12.785 * [backup-simplify]: Simplify (+ 1 0) into 1
12.785 * [backup-simplify]: Simplify (sqrt 1) into 1
12.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.787 * [backup-simplify]: Simplify (+ 0 0) into 0
12.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.787 * [backup-simplify]: Simplify (sqrt 0) into 0
12.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.788 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.788 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.788 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.788 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.788 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.788 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.788 * [taylor]: Taking taylor expansion of re in re
12.788 * [backup-simplify]: Simplify 0 into 0
12.788 * [backup-simplify]: Simplify 1 into 1
12.789 * [backup-simplify]: Simplify (/ 1 1) into 1
12.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.789 * [taylor]: Taking taylor expansion of re in re
12.789 * [backup-simplify]: Simplify 0 into 0
12.789 * [backup-simplify]: Simplify 1 into 1
12.789 * [backup-simplify]: Simplify (/ 1 1) into 1
12.789 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.789 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.789 * [taylor]: Taking taylor expansion of im in re
12.789 * [backup-simplify]: Simplify im into im
12.789 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.789 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.789 * [taylor]: Taking taylor expansion of im in re
12.789 * [backup-simplify]: Simplify im into im
12.789 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.789 * [backup-simplify]: Simplify (* 1 1) into 1
12.790 * [backup-simplify]: Simplify (+ 1 0) into 1
12.790 * [backup-simplify]: Simplify (sqrt 1) into 1
12.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.791 * [backup-simplify]: Simplify (+ 0 0) into 0
12.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.792 * [backup-simplify]: Simplify (sqrt 0) into 0
12.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.793 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
12.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.793 * [taylor]: Taking taylor expansion of re in re
12.793 * [backup-simplify]: Simplify 0 into 0
12.793 * [backup-simplify]: Simplify 1 into 1
12.793 * [backup-simplify]: Simplify (/ 1 1) into 1
12.793 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
12.793 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
12.794 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
12.794 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.794 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.794 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.794 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.794 * [taylor]: Taking taylor expansion of re in re
12.794 * [backup-simplify]: Simplify 0 into 0
12.794 * [backup-simplify]: Simplify 1 into 1
12.794 * [backup-simplify]: Simplify (/ 1 1) into 1
12.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.794 * [taylor]: Taking taylor expansion of re in re
12.794 * [backup-simplify]: Simplify 0 into 0
12.794 * [backup-simplify]: Simplify 1 into 1
12.795 * [backup-simplify]: Simplify (/ 1 1) into 1
12.795 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.795 * [taylor]: Taking taylor expansion of im in re
12.795 * [backup-simplify]: Simplify im into im
12.795 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.795 * [taylor]: Taking taylor expansion of im in re
12.795 * [backup-simplify]: Simplify im into im
12.795 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.795 * [backup-simplify]: Simplify (* 1 1) into 1
12.796 * [backup-simplify]: Simplify (+ 1 0) into 1
12.796 * [backup-simplify]: Simplify (sqrt 1) into 1
12.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.798 * [backup-simplify]: Simplify (+ 0 0) into 0
12.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.799 * [backup-simplify]: Simplify (sqrt 0) into 0
12.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.800 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
12.800 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.801 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.801 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.801 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.801 * [taylor]: Taking taylor expansion of re in re
12.801 * [backup-simplify]: Simplify 0 into 0
12.801 * [backup-simplify]: Simplify 1 into 1
12.801 * [backup-simplify]: Simplify (/ 1 1) into 1
12.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.801 * [taylor]: Taking taylor expansion of re in re
12.801 * [backup-simplify]: Simplify 0 into 0
12.801 * [backup-simplify]: Simplify 1 into 1
12.801 * [backup-simplify]: Simplify (/ 1 1) into 1
12.802 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.802 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.802 * [taylor]: Taking taylor expansion of im in re
12.802 * [backup-simplify]: Simplify im into im
12.802 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.802 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.802 * [taylor]: Taking taylor expansion of im in re
12.802 * [backup-simplify]: Simplify im into im
12.802 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.802 * [backup-simplify]: Simplify (* 1 1) into 1
12.802 * [backup-simplify]: Simplify (+ 1 0) into 1
12.803 * [backup-simplify]: Simplify (sqrt 1) into 1
12.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.805 * [backup-simplify]: Simplify (+ 0 0) into 0
12.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.806 * [backup-simplify]: Simplify (sqrt 0) into 0
12.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.807 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
12.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.807 * [taylor]: Taking taylor expansion of re in re
12.807 * [backup-simplify]: Simplify 0 into 0
12.807 * [backup-simplify]: Simplify 1 into 1
12.808 * [backup-simplify]: Simplify (/ 1 1) into 1
12.808 * [backup-simplify]: Simplify (* 0 0) into 0
12.809 * [backup-simplify]: Simplify (+ 0 0) into 0
12.809 * [taylor]: Taking taylor expansion of 0 in im
12.809 * [backup-simplify]: Simplify 0 into 0
12.809 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
12.810 * [backup-simplify]: Simplify (- 1) into -1
12.810 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.810 * [taylor]: Taking taylor expansion of -1 in im
12.810 * [backup-simplify]: Simplify -1 into -1
12.813 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.816 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.818 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
12.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.820 * [backup-simplify]: Simplify (- 0) into 0
12.820 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.820 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.821 * [taylor]: Taking taylor expansion of +nan.0 in im
12.821 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.821 * [backup-simplify]: Simplify 0 into 0
12.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.823 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.824 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.825 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.827 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.830 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.830 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.832 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.835 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.836 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
12.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.838 * [backup-simplify]: Simplify (- 0) into 0
12.839 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.839 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.839 * [taylor]: Taking taylor expansion of +nan.0 in im
12.839 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.839 * [backup-simplify]: Simplify -1 into -1
12.839 * [backup-simplify]: Simplify 0 into 0
12.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.842 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.843 * [backup-simplify]: Simplify (+ 0 0) into 0
12.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.845 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.848 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.848 * [backup-simplify]: Simplify (+ 0 0) into 0
12.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.850 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.855 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.857 * [backup-simplify]: Simplify (- 0) into 0
12.857 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.857 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
12.857 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
12.857 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
12.857 * [taylor]: Taking taylor expansion of +nan.0 in im
12.858 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.858 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.858 * [taylor]: Taking taylor expansion of im in im
12.858 * [backup-simplify]: Simplify 0 into 0
12.858 * [backup-simplify]: Simplify 1 into 1
12.858 * [backup-simplify]: Simplify (* 1 1) into 1
12.858 * [backup-simplify]: Simplify (/ 1 1) into 1
12.858 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.858 * [taylor]: Taking taylor expansion of +nan.0 in im
12.858 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.859 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
12.859 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.860 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
12.861 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.861 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.861 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.863 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
12.863 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
12.863 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
12.863 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
12.863 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
12.863 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
12.863 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
12.863 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.864 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.864 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.864 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.864 * [taylor]: Taking taylor expansion of -1 in im
12.864 * [backup-simplify]: Simplify -1 into -1
12.864 * [taylor]: Taking taylor expansion of re in im
12.864 * [backup-simplify]: Simplify re into re
12.864 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.864 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.864 * [taylor]: Taking taylor expansion of -1 in im
12.864 * [backup-simplify]: Simplify -1 into -1
12.864 * [taylor]: Taking taylor expansion of re in im
12.864 * [backup-simplify]: Simplify re into re
12.864 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.864 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.864 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.864 * [taylor]: Taking taylor expansion of -1 in im
12.864 * [backup-simplify]: Simplify -1 into -1
12.864 * [taylor]: Taking taylor expansion of im in im
12.864 * [backup-simplify]: Simplify 0 into 0
12.864 * [backup-simplify]: Simplify 1 into 1
12.865 * [backup-simplify]: Simplify (/ -1 1) into -1
12.865 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.865 * [taylor]: Taking taylor expansion of -1 in im
12.865 * [backup-simplify]: Simplify -1 into -1
12.865 * [taylor]: Taking taylor expansion of im in im
12.865 * [backup-simplify]: Simplify 0 into 0
12.865 * [backup-simplify]: Simplify 1 into 1
12.865 * [backup-simplify]: Simplify (/ -1 1) into -1
12.865 * [backup-simplify]: Simplify (* -1 -1) into 1
12.866 * [backup-simplify]: Simplify (+ 0 1) into 1
12.866 * [backup-simplify]: Simplify (sqrt 1) into 1
12.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.868 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.869 * [backup-simplify]: Simplify (+ 0 0) into 0
12.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.870 * [backup-simplify]: Simplify (sqrt 0) into 0
12.871 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.871 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
12.871 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.871 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.871 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.871 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.871 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.871 * [taylor]: Taking taylor expansion of -1 in im
12.872 * [backup-simplify]: Simplify -1 into -1
12.872 * [taylor]: Taking taylor expansion of re in im
12.872 * [backup-simplify]: Simplify re into re
12.872 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.872 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.872 * [taylor]: Taking taylor expansion of -1 in im
12.872 * [backup-simplify]: Simplify -1 into -1
12.872 * [taylor]: Taking taylor expansion of re in im
12.872 * [backup-simplify]: Simplify re into re
12.872 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.872 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.872 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.872 * [taylor]: Taking taylor expansion of -1 in im
12.872 * [backup-simplify]: Simplify -1 into -1
12.872 * [taylor]: Taking taylor expansion of im in im
12.872 * [backup-simplify]: Simplify 0 into 0
12.872 * [backup-simplify]: Simplify 1 into 1
12.872 * [backup-simplify]: Simplify (/ -1 1) into -1
12.872 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.873 * [taylor]: Taking taylor expansion of -1 in im
12.873 * [backup-simplify]: Simplify -1 into -1
12.873 * [taylor]: Taking taylor expansion of im in im
12.873 * [backup-simplify]: Simplify 0 into 0
12.873 * [backup-simplify]: Simplify 1 into 1
12.873 * [backup-simplify]: Simplify (/ -1 1) into -1
12.873 * [backup-simplify]: Simplify (* -1 -1) into 1
12.874 * [backup-simplify]: Simplify (+ 0 1) into 1
12.874 * [backup-simplify]: Simplify (sqrt 1) into 1
12.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.877 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.877 * [backup-simplify]: Simplify (+ 0 0) into 0
12.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.878 * [backup-simplify]: Simplify (sqrt 0) into 0
12.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.880 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.880 * [taylor]: Taking taylor expansion of re in im
12.880 * [backup-simplify]: Simplify re into re
12.880 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.880 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
12.880 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
12.880 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
12.880 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.880 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.880 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.880 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.880 * [taylor]: Taking taylor expansion of -1 in re
12.880 * [backup-simplify]: Simplify -1 into -1
12.880 * [taylor]: Taking taylor expansion of re in re
12.880 * [backup-simplify]: Simplify 0 into 0
12.880 * [backup-simplify]: Simplify 1 into 1
12.881 * [backup-simplify]: Simplify (/ -1 1) into -1
12.881 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.881 * [taylor]: Taking taylor expansion of -1 in re
12.881 * [backup-simplify]: Simplify -1 into -1
12.881 * [taylor]: Taking taylor expansion of re in re
12.881 * [backup-simplify]: Simplify 0 into 0
12.881 * [backup-simplify]: Simplify 1 into 1
12.881 * [backup-simplify]: Simplify (/ -1 1) into -1
12.882 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.882 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.882 * [taylor]: Taking taylor expansion of -1 in re
12.882 * [backup-simplify]: Simplify -1 into -1
12.882 * [taylor]: Taking taylor expansion of im in re
12.882 * [backup-simplify]: Simplify im into im
12.882 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.882 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.882 * [taylor]: Taking taylor expansion of -1 in re
12.882 * [backup-simplify]: Simplify -1 into -1
12.882 * [taylor]: Taking taylor expansion of im in re
12.882 * [backup-simplify]: Simplify im into im
12.882 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.882 * [backup-simplify]: Simplify (* -1 -1) into 1
12.883 * [backup-simplify]: Simplify (+ 1 0) into 1
12.883 * [backup-simplify]: Simplify (sqrt 1) into 1
12.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.886 * [backup-simplify]: Simplify (+ 0 0) into 0
12.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.887 * [backup-simplify]: Simplify (sqrt 0) into 0
12.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.888 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.888 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.889 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.889 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.889 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.889 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.889 * [taylor]: Taking taylor expansion of -1 in re
12.889 * [backup-simplify]: Simplify -1 into -1
12.889 * [taylor]: Taking taylor expansion of re in re
12.889 * [backup-simplify]: Simplify 0 into 0
12.889 * [backup-simplify]: Simplify 1 into 1
12.889 * [backup-simplify]: Simplify (/ -1 1) into -1
12.889 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.889 * [taylor]: Taking taylor expansion of -1 in re
12.889 * [backup-simplify]: Simplify -1 into -1
12.889 * [taylor]: Taking taylor expansion of re in re
12.889 * [backup-simplify]: Simplify 0 into 0
12.889 * [backup-simplify]: Simplify 1 into 1
12.890 * [backup-simplify]: Simplify (/ -1 1) into -1
12.890 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.890 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.890 * [taylor]: Taking taylor expansion of -1 in re
12.890 * [backup-simplify]: Simplify -1 into -1
12.890 * [taylor]: Taking taylor expansion of im in re
12.890 * [backup-simplify]: Simplify im into im
12.890 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.890 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.890 * [taylor]: Taking taylor expansion of -1 in re
12.890 * [backup-simplify]: Simplify -1 into -1
12.890 * [taylor]: Taking taylor expansion of im in re
12.890 * [backup-simplify]: Simplify im into im
12.890 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.891 * [backup-simplify]: Simplify (* -1 -1) into 1
12.891 * [backup-simplify]: Simplify (+ 1 0) into 1
12.891 * [backup-simplify]: Simplify (sqrt 1) into 1
12.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.894 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.894 * [backup-simplify]: Simplify (+ 0 0) into 0
12.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.896 * [backup-simplify]: Simplify (sqrt 0) into 0
12.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.897 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.897 * [taylor]: Taking taylor expansion of re in re
12.897 * [backup-simplify]: Simplify 0 into 0
12.897 * [backup-simplify]: Simplify 1 into 1
12.898 * [backup-simplify]: Simplify (/ 1 1) into 1
12.898 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
12.898 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
12.898 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
12.898 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.898 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.898 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.898 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.898 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.898 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.898 * [taylor]: Taking taylor expansion of -1 in re
12.898 * [backup-simplify]: Simplify -1 into -1
12.898 * [taylor]: Taking taylor expansion of re in re
12.899 * [backup-simplify]: Simplify 0 into 0
12.899 * [backup-simplify]: Simplify 1 into 1
12.899 * [backup-simplify]: Simplify (/ -1 1) into -1
12.899 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.899 * [taylor]: Taking taylor expansion of -1 in re
12.899 * [backup-simplify]: Simplify -1 into -1
12.899 * [taylor]: Taking taylor expansion of re in re
12.899 * [backup-simplify]: Simplify 0 into 0
12.899 * [backup-simplify]: Simplify 1 into 1
12.900 * [backup-simplify]: Simplify (/ -1 1) into -1
12.900 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.900 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.900 * [taylor]: Taking taylor expansion of -1 in re
12.900 * [backup-simplify]: Simplify -1 into -1
12.900 * [taylor]: Taking taylor expansion of im in re
12.900 * [backup-simplify]: Simplify im into im
12.900 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.900 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.900 * [taylor]: Taking taylor expansion of -1 in re
12.900 * [backup-simplify]: Simplify -1 into -1
12.900 * [taylor]: Taking taylor expansion of im in re
12.900 * [backup-simplify]: Simplify im into im
12.900 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.900 * [backup-simplify]: Simplify (* -1 -1) into 1
12.901 * [backup-simplify]: Simplify (+ 1 0) into 1
12.901 * [backup-simplify]: Simplify (sqrt 1) into 1
12.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.904 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.904 * [backup-simplify]: Simplify (+ 0 0) into 0
12.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.906 * [backup-simplify]: Simplify (sqrt 0) into 0
12.907 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.907 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
12.907 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.907 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.907 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.907 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.907 * [taylor]: Taking taylor expansion of -1 in re
12.907 * [backup-simplify]: Simplify -1 into -1
12.907 * [taylor]: Taking taylor expansion of re in re
12.907 * [backup-simplify]: Simplify 0 into 0
12.907 * [backup-simplify]: Simplify 1 into 1
12.908 * [backup-simplify]: Simplify (/ -1 1) into -1
12.908 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.908 * [taylor]: Taking taylor expansion of -1 in re
12.908 * [backup-simplify]: Simplify -1 into -1
12.908 * [taylor]: Taking taylor expansion of re in re
12.908 * [backup-simplify]: Simplify 0 into 0
12.908 * [backup-simplify]: Simplify 1 into 1
12.908 * [backup-simplify]: Simplify (/ -1 1) into -1
12.908 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.908 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.908 * [taylor]: Taking taylor expansion of -1 in re
12.908 * [backup-simplify]: Simplify -1 into -1
12.908 * [taylor]: Taking taylor expansion of im in re
12.909 * [backup-simplify]: Simplify im into im
12.909 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.909 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.909 * [taylor]: Taking taylor expansion of -1 in re
12.909 * [backup-simplify]: Simplify -1 into -1
12.909 * [taylor]: Taking taylor expansion of im in re
12.909 * [backup-simplify]: Simplify im into im
12.909 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.909 * [backup-simplify]: Simplify (* -1 -1) into 1
12.910 * [backup-simplify]: Simplify (+ 1 0) into 1
12.910 * [backup-simplify]: Simplify (sqrt 1) into 1
12.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.912 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.912 * [backup-simplify]: Simplify (+ 0 0) into 0
12.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.914 * [backup-simplify]: Simplify (sqrt 0) into 0
12.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.915 * [taylor]: Taking taylor expansion of re in re
12.915 * [backup-simplify]: Simplify 0 into 0
12.915 * [backup-simplify]: Simplify 1 into 1
12.915 * [backup-simplify]: Simplify (/ 1 1) into 1
12.916 * [backup-simplify]: Simplify (* 0 0) into 0
12.916 * [backup-simplify]: Simplify (+ 0 0) into 0
12.916 * [taylor]: Taking taylor expansion of 0 in im
12.916 * [backup-simplify]: Simplify 0 into 0
12.917 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
12.917 * [backup-simplify]: Simplify (+ 0 1) into 1
12.918 * [taylor]: Taking taylor expansion of 1 in im
12.918 * [backup-simplify]: Simplify 1 into 1
12.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.924 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.926 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
12.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.928 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.928 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.928 * [taylor]: Taking taylor expansion of +nan.0 in im
12.928 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.928 * [backup-simplify]: Simplify 0 into 0
12.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.931 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.931 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.932 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.934 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.938 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.938 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.939 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.941 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
12.943 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
12.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.945 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
12.945 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.945 * [taylor]: Taking taylor expansion of +nan.0 in im
12.945 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.945 * [backup-simplify]: Simplify 1 into 1
12.945 * [backup-simplify]: Simplify 0 into 0
12.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.948 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.949 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.949 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.949 * [backup-simplify]: Simplify (+ 0 0) into 0
12.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.956 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.956 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.956 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.956 * [backup-simplify]: Simplify (+ 0 0) into 0
12.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.958 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.959 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.960 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
12.960 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
12.960 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
12.960 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
12.960 * [taylor]: Taking taylor expansion of +nan.0 in im
12.960 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.960 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.960 * [taylor]: Taking taylor expansion of im in im
12.960 * [backup-simplify]: Simplify 0 into 0
12.961 * [backup-simplify]: Simplify 1 into 1
12.961 * [backup-simplify]: Simplify (* 1 1) into 1
12.961 * [backup-simplify]: Simplify (/ 1 1) into 1
12.961 * [taylor]: Taking taylor expansion of (- +nan.0) in im
12.961 * [taylor]: Taking taylor expansion of +nan.0 in im
12.961 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.961 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
12.962 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.962 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
12.962 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.963 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.963 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.964 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
12.964 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1)
12.964 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
12.964 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
12.964 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
12.964 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.964 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
12.964 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
12.964 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.964 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.964 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.964 * [taylor]: Taking taylor expansion of (* re re) in im
12.964 * [taylor]: Taking taylor expansion of re in im
12.964 * [backup-simplify]: Simplify re into re
12.964 * [taylor]: Taking taylor expansion of re in im
12.964 * [backup-simplify]: Simplify re into re
12.964 * [taylor]: Taking taylor expansion of (* im im) in im
12.964 * [taylor]: Taking taylor expansion of im in im
12.965 * [backup-simplify]: Simplify 0 into 0
12.965 * [backup-simplify]: Simplify 1 into 1
12.965 * [taylor]: Taking taylor expansion of im in im
12.965 * [backup-simplify]: Simplify 0 into 0
12.965 * [backup-simplify]: Simplify 1 into 1
12.965 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.965 * [backup-simplify]: Simplify (* 0 0) into 0
12.965 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.965 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.965 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.966 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.966 * [backup-simplify]: Simplify (+ 0 0) into 0
12.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.966 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
12.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
12.966 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
12.966 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.966 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.966 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.966 * [taylor]: Taking taylor expansion of (* re re) in im
12.966 * [taylor]: Taking taylor expansion of re in im
12.966 * [backup-simplify]: Simplify re into re
12.966 * [taylor]: Taking taylor expansion of re in im
12.966 * [backup-simplify]: Simplify re into re
12.966 * [taylor]: Taking taylor expansion of (* im im) in im
12.966 * [taylor]: Taking taylor expansion of im in im
12.966 * [backup-simplify]: Simplify 0 into 0
12.966 * [backup-simplify]: Simplify 1 into 1
12.966 * [taylor]: Taking taylor expansion of im in im
12.966 * [backup-simplify]: Simplify 0 into 0
12.966 * [backup-simplify]: Simplify 1 into 1
12.966 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.967 * [backup-simplify]: Simplify (* 0 0) into 0
12.967 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.967 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.967 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.967 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.968 * [backup-simplify]: Simplify (+ 0 0) into 0
12.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.968 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
12.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
12.968 * [taylor]: Taking taylor expansion of (- re) in im
12.968 * [taylor]: Taking taylor expansion of re in im
12.968 * [backup-simplify]: Simplify re into re
12.968 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
12.968 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.968 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
12.968 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.968 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.968 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.968 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.968 * [taylor]: Taking taylor expansion of (* re re) in re
12.968 * [taylor]: Taking taylor expansion of re in re
12.968 * [backup-simplify]: Simplify 0 into 0
12.968 * [backup-simplify]: Simplify 1 into 1
12.968 * [taylor]: Taking taylor expansion of re in re
12.968 * [backup-simplify]: Simplify 0 into 0
12.968 * [backup-simplify]: Simplify 1 into 1
12.968 * [taylor]: Taking taylor expansion of (* im im) in re
12.968 * [taylor]: Taking taylor expansion of im in re
12.968 * [backup-simplify]: Simplify im into im
12.968 * [taylor]: Taking taylor expansion of im in re
12.968 * [backup-simplify]: Simplify im into im
12.968 * [backup-simplify]: Simplify (* 0 0) into 0
12.969 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.969 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.969 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.969 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.969 * [backup-simplify]: Simplify (+ 0 0) into 0
12.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.970 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.970 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.970 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.970 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.970 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.970 * [taylor]: Taking taylor expansion of (* re re) in re
12.970 * [taylor]: Taking taylor expansion of re in re
12.970 * [backup-simplify]: Simplify 0 into 0
12.970 * [backup-simplify]: Simplify 1 into 1
12.970 * [taylor]: Taking taylor expansion of re in re
12.970 * [backup-simplify]: Simplify 0 into 0
12.970 * [backup-simplify]: Simplify 1 into 1
12.970 * [taylor]: Taking taylor expansion of (* im im) in re
12.970 * [taylor]: Taking taylor expansion of im in re
12.970 * [backup-simplify]: Simplify im into im
12.970 * [taylor]: Taking taylor expansion of im in re
12.970 * [backup-simplify]: Simplify im into im
12.970 * [backup-simplify]: Simplify (* 0 0) into 0
12.970 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.970 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.971 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.971 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.971 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.971 * [backup-simplify]: Simplify (+ 0 0) into 0
12.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.971 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.971 * [taylor]: Taking taylor expansion of (- re) in re
12.972 * [taylor]: Taking taylor expansion of re in re
12.972 * [backup-simplify]: Simplify 0 into 0
12.972 * [backup-simplify]: Simplify 1 into 1
12.972 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
12.972 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
12.972 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
12.972 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.972 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.972 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.972 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.972 * [taylor]: Taking taylor expansion of (* re re) in re
12.972 * [taylor]: Taking taylor expansion of re in re
12.972 * [backup-simplify]: Simplify 0 into 0
12.972 * [backup-simplify]: Simplify 1 into 1
12.972 * [taylor]: Taking taylor expansion of re in re
12.972 * [backup-simplify]: Simplify 0 into 0
12.972 * [backup-simplify]: Simplify 1 into 1
12.972 * [taylor]: Taking taylor expansion of (* im im) in re
12.972 * [taylor]: Taking taylor expansion of im in re
12.972 * [backup-simplify]: Simplify im into im
12.972 * [taylor]: Taking taylor expansion of im in re
12.972 * [backup-simplify]: Simplify im into im
12.973 * [backup-simplify]: Simplify (* 0 0) into 0
12.973 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.973 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.973 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.973 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.973 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.973 * [backup-simplify]: Simplify (+ 0 0) into 0
12.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.974 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.974 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
12.974 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.974 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.974 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.974 * [taylor]: Taking taylor expansion of (* re re) in re
12.974 * [taylor]: Taking taylor expansion of re in re
12.974 * [backup-simplify]: Simplify 0 into 0
12.974 * [backup-simplify]: Simplify 1 into 1
12.974 * [taylor]: Taking taylor expansion of re in re
12.974 * [backup-simplify]: Simplify 0 into 0
12.974 * [backup-simplify]: Simplify 1 into 1
12.974 * [taylor]: Taking taylor expansion of (* im im) in re
12.974 * [taylor]: Taking taylor expansion of im in re
12.974 * [backup-simplify]: Simplify im into im
12.974 * [taylor]: Taking taylor expansion of im in re
12.974 * [backup-simplify]: Simplify im into im
12.974 * [backup-simplify]: Simplify (* 0 0) into 0
12.974 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.974 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.974 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.975 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.975 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.975 * [backup-simplify]: Simplify (+ 0 0) into 0
12.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.975 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
12.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
12.975 * [taylor]: Taking taylor expansion of (- re) in re
12.975 * [taylor]: Taking taylor expansion of re in re
12.975 * [backup-simplify]: Simplify 0 into 0
12.975 * [backup-simplify]: Simplify 1 into 1
12.976 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
12.976 * [backup-simplify]: Simplify (- 0) into 0
12.976 * [backup-simplify]: Simplify (+ im 0) into im
12.976 * [taylor]: Taking taylor expansion of im in im
12.976 * [backup-simplify]: Simplify 0 into 0
12.976 * [backup-simplify]: Simplify 1 into 1
12.976 * [backup-simplify]: Simplify 0 into 0
12.976 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
12.976 * [backup-simplify]: Simplify (- 1) into -1
12.976 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.977 * [taylor]: Taking taylor expansion of -1 in im
12.977 * [backup-simplify]: Simplify -1 into -1
12.977 * [backup-simplify]: Simplify -1 into -1
12.977 * [backup-simplify]: Simplify 1 into 1
12.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.978 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.978 * [backup-simplify]: Simplify (+ 1 0) into 1
12.978 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.979 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
12.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.980 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.980 * [backup-simplify]: Simplify (+ 1 0) into 1
12.980 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.981 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
12.981 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
12.982 * [backup-simplify]: Simplify (- 0) into 0
12.982 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
12.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
12.982 * [taylor]: Taking taylor expansion of 1/2 in im
12.982 * [backup-simplify]: Simplify 1/2 into 1/2
12.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.982 * [taylor]: Taking taylor expansion of im in im
12.982 * [backup-simplify]: Simplify 0 into 0
12.982 * [backup-simplify]: Simplify 1 into 1
12.982 * [backup-simplify]: Simplify (/ 1 1) into 1
12.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.983 * [backup-simplify]: Simplify 0 into 0
12.983 * [backup-simplify]: Simplify 0 into 0
12.983 * [backup-simplify]: Simplify 0 into 0
12.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.984 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.984 * [backup-simplify]: Simplify (+ 0 0) into 0
12.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
12.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.986 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.986 * [backup-simplify]: Simplify (+ 0 0) into 0
12.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
12.987 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
12.989 * [backup-simplify]: Simplify (- 0) into 0
12.989 * [backup-simplify]: Simplify (+ 0 0) into 0
12.989 * [taylor]: Taking taylor expansion of 0 in im
12.989 * [backup-simplify]: Simplify 0 into 0
12.989 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.990 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
12.991 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
12.991 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
12.991 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
12.991 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
12.991 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
12.991 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
12.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.991 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.991 * [taylor]: Taking taylor expansion of re in im
12.991 * [backup-simplify]: Simplify re into re
12.991 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.991 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.991 * [taylor]: Taking taylor expansion of re in im
12.991 * [backup-simplify]: Simplify re into re
12.991 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.991 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.991 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.991 * [taylor]: Taking taylor expansion of im in im
12.991 * [backup-simplify]: Simplify 0 into 0
12.991 * [backup-simplify]: Simplify 1 into 1
12.992 * [backup-simplify]: Simplify (/ 1 1) into 1
12.992 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.992 * [taylor]: Taking taylor expansion of im in im
12.992 * [backup-simplify]: Simplify 0 into 0
12.992 * [backup-simplify]: Simplify 1 into 1
12.992 * [backup-simplify]: Simplify (/ 1 1) into 1
12.992 * [backup-simplify]: Simplify (* 1 1) into 1
12.992 * [backup-simplify]: Simplify (+ 0 1) into 1
12.993 * [backup-simplify]: Simplify (sqrt 1) into 1
12.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.995 * [backup-simplify]: Simplify (+ 0 0) into 0
12.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.996 * [backup-simplify]: Simplify (sqrt 0) into 0
12.998 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.998 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
12.998 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.998 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.998 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.998 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.998 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.998 * [taylor]: Taking taylor expansion of re in im
12.998 * [backup-simplify]: Simplify re into re
12.998 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.998 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.998 * [taylor]: Taking taylor expansion of re in im
12.998 * [backup-simplify]: Simplify re into re
12.998 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.998 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.998 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.999 * [taylor]: Taking taylor expansion of im in im
12.999 * [backup-simplify]: Simplify 0 into 0
12.999 * [backup-simplify]: Simplify 1 into 1
12.999 * [backup-simplify]: Simplify (/ 1 1) into 1
12.999 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.999 * [taylor]: Taking taylor expansion of im in im
12.999 * [backup-simplify]: Simplify 0 into 0
12.999 * [backup-simplify]: Simplify 1 into 1
12.999 * [backup-simplify]: Simplify (/ 1 1) into 1
13.000 * [backup-simplify]: Simplify (* 1 1) into 1
13.000 * [backup-simplify]: Simplify (+ 0 1) into 1
13.001 * [backup-simplify]: Simplify (sqrt 1) into 1
13.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.003 * [backup-simplify]: Simplify (+ 0 0) into 0
13.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.005 * [backup-simplify]: Simplify (sqrt 0) into 0
13.006 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.006 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
13.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.006 * [taylor]: Taking taylor expansion of re in im
13.006 * [backup-simplify]: Simplify re into re
13.007 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.007 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
13.007 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
13.007 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
13.007 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
13.007 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.007 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.007 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.007 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.007 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.007 * [taylor]: Taking taylor expansion of re in re
13.007 * [backup-simplify]: Simplify 0 into 0
13.007 * [backup-simplify]: Simplify 1 into 1
13.008 * [backup-simplify]: Simplify (/ 1 1) into 1
13.008 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.008 * [taylor]: Taking taylor expansion of re in re
13.008 * [backup-simplify]: Simplify 0 into 0
13.008 * [backup-simplify]: Simplify 1 into 1
13.008 * [backup-simplify]: Simplify (/ 1 1) into 1
13.008 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.008 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.008 * [taylor]: Taking taylor expansion of im in re
13.008 * [backup-simplify]: Simplify im into im
13.008 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.008 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.008 * [taylor]: Taking taylor expansion of im in re
13.008 * [backup-simplify]: Simplify im into im
13.008 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.009 * [backup-simplify]: Simplify (* 1 1) into 1
13.009 * [backup-simplify]: Simplify (+ 1 0) into 1
13.010 * [backup-simplify]: Simplify (sqrt 1) into 1
13.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.012 * [backup-simplify]: Simplify (+ 0 0) into 0
13.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.013 * [backup-simplify]: Simplify (sqrt 0) into 0
13.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.015 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
13.015 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.015 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.015 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.015 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.015 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.015 * [taylor]: Taking taylor expansion of re in re
13.015 * [backup-simplify]: Simplify 0 into 0
13.015 * [backup-simplify]: Simplify 1 into 1
13.016 * [backup-simplify]: Simplify (/ 1 1) into 1
13.016 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.016 * [taylor]: Taking taylor expansion of re in re
13.016 * [backup-simplify]: Simplify 0 into 0
13.016 * [backup-simplify]: Simplify 1 into 1
13.016 * [backup-simplify]: Simplify (/ 1 1) into 1
13.016 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.016 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.016 * [taylor]: Taking taylor expansion of im in re
13.016 * [backup-simplify]: Simplify im into im
13.016 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.016 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.016 * [taylor]: Taking taylor expansion of im in re
13.016 * [backup-simplify]: Simplify im into im
13.017 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.017 * [backup-simplify]: Simplify (* 1 1) into 1
13.018 * [backup-simplify]: Simplify (+ 1 0) into 1
13.018 * [backup-simplify]: Simplify (sqrt 1) into 1
13.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.021 * [backup-simplify]: Simplify (+ 0 0) into 0
13.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.021 * [backup-simplify]: Simplify (sqrt 0) into 0
13.022 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.022 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
13.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.022 * [taylor]: Taking taylor expansion of re in re
13.022 * [backup-simplify]: Simplify 0 into 0
13.022 * [backup-simplify]: Simplify 1 into 1
13.023 * [backup-simplify]: Simplify (/ 1 1) into 1
13.023 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
13.023 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
13.023 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
13.023 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
13.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.023 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.023 * [taylor]: Taking taylor expansion of re in re
13.023 * [backup-simplify]: Simplify 0 into 0
13.023 * [backup-simplify]: Simplify 1 into 1
13.023 * [backup-simplify]: Simplify (/ 1 1) into 1
13.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.023 * [taylor]: Taking taylor expansion of re in re
13.023 * [backup-simplify]: Simplify 0 into 0
13.023 * [backup-simplify]: Simplify 1 into 1
13.024 * [backup-simplify]: Simplify (/ 1 1) into 1
13.024 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.024 * [taylor]: Taking taylor expansion of im in re
13.024 * [backup-simplify]: Simplify im into im
13.024 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.024 * [taylor]: Taking taylor expansion of im in re
13.024 * [backup-simplify]: Simplify im into im
13.024 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.024 * [backup-simplify]: Simplify (* 1 1) into 1
13.024 * [backup-simplify]: Simplify (+ 1 0) into 1
13.025 * [backup-simplify]: Simplify (sqrt 1) into 1
13.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.026 * [backup-simplify]: Simplify (+ 0 0) into 0
13.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.027 * [backup-simplify]: Simplify (sqrt 0) into 0
13.028 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.028 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
13.028 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.028 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.028 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.028 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.028 * [taylor]: Taking taylor expansion of re in re
13.028 * [backup-simplify]: Simplify 0 into 0
13.028 * [backup-simplify]: Simplify 1 into 1
13.028 * [backup-simplify]: Simplify (/ 1 1) into 1
13.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.028 * [taylor]: Taking taylor expansion of re in re
13.028 * [backup-simplify]: Simplify 0 into 0
13.028 * [backup-simplify]: Simplify 1 into 1
13.028 * [backup-simplify]: Simplify (/ 1 1) into 1
13.028 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.028 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.028 * [taylor]: Taking taylor expansion of im in re
13.028 * [backup-simplify]: Simplify im into im
13.028 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.028 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.028 * [taylor]: Taking taylor expansion of im in re
13.029 * [backup-simplify]: Simplify im into im
13.029 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.029 * [backup-simplify]: Simplify (* 1 1) into 1
13.029 * [backup-simplify]: Simplify (+ 1 0) into 1
13.029 * [backup-simplify]: Simplify (sqrt 1) into 1
13.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.031 * [backup-simplify]: Simplify (+ 0 0) into 0
13.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.031 * [backup-simplify]: Simplify (sqrt 0) into 0
13.032 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.032 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
13.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.032 * [taylor]: Taking taylor expansion of re in re
13.032 * [backup-simplify]: Simplify 0 into 0
13.032 * [backup-simplify]: Simplify 1 into 1
13.033 * [backup-simplify]: Simplify (/ 1 1) into 1
13.033 * [backup-simplify]: Simplify (* 0 0) into 0
13.033 * [backup-simplify]: Simplify (+ 0 0) into 0
13.033 * [taylor]: Taking taylor expansion of 0 in im
13.033 * [backup-simplify]: Simplify 0 into 0
13.034 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
13.034 * [backup-simplify]: Simplify (- 1) into -1
13.034 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.034 * [taylor]: Taking taylor expansion of -1 in im
13.034 * [backup-simplify]: Simplify -1 into -1
13.036 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.038 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.039 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
13.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.040 * [backup-simplify]: Simplify (- 0) into 0
13.041 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
13.041 * [taylor]: Taking taylor expansion of (- +nan.0) in im
13.041 * [taylor]: Taking taylor expansion of +nan.0 in im
13.041 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.041 * [backup-simplify]: Simplify 0 into 0
13.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.042 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
13.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.043 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.045 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
13.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.046 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
13.046 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.047 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.048 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
13.049 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
13.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.050 * [backup-simplify]: Simplify (- 0) into 0
13.050 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
13.050 * [taylor]: Taking taylor expansion of (- +nan.0) in im
13.051 * [taylor]: Taking taylor expansion of +nan.0 in im
13.051 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.051 * [backup-simplify]: Simplify -1 into -1
13.051 * [backup-simplify]: Simplify 0 into 0
13.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.053 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
13.053 * [backup-simplify]: Simplify (+ 0 0) into 0
13.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.058 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
13.059 * [backup-simplify]: Simplify (+ 0 0) into 0
13.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.063 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.065 * [backup-simplify]: Simplify (- 0) into 0
13.066 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.066 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
13.066 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
13.066 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
13.066 * [taylor]: Taking taylor expansion of +nan.0 in im
13.066 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.066 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.066 * [taylor]: Taking taylor expansion of im in im
13.066 * [backup-simplify]: Simplify 0 into 0
13.066 * [backup-simplify]: Simplify 1 into 1
13.067 * [backup-simplify]: Simplify (* 1 1) into 1
13.067 * [backup-simplify]: Simplify (/ 1 1) into 1
13.067 * [taylor]: Taking taylor expansion of (- +nan.0) in im
13.067 * [taylor]: Taking taylor expansion of +nan.0 in im
13.067 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.068 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
13.068 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.069 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
13.069 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.071 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
13.072 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re))))) (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
13.072 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
13.073 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
13.073 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
13.073 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
13.073 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
13.073 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
13.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.073 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
13.073 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
13.073 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.073 * [taylor]: Taking taylor expansion of -1 in im
13.073 * [backup-simplify]: Simplify -1 into -1
13.073 * [taylor]: Taking taylor expansion of re in im
13.073 * [backup-simplify]: Simplify re into re
13.073 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.073 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.073 * [taylor]: Taking taylor expansion of -1 in im
13.073 * [backup-simplify]: Simplify -1 into -1
13.073 * [taylor]: Taking taylor expansion of re in im
13.073 * [backup-simplify]: Simplify re into re
13.073 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.073 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
13.073 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.073 * [taylor]: Taking taylor expansion of -1 in im
13.074 * [backup-simplify]: Simplify -1 into -1
13.074 * [taylor]: Taking taylor expansion of im in im
13.074 * [backup-simplify]: Simplify 0 into 0
13.074 * [backup-simplify]: Simplify 1 into 1
13.074 * [backup-simplify]: Simplify (/ -1 1) into -1
13.074 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.074 * [taylor]: Taking taylor expansion of -1 in im
13.074 * [backup-simplify]: Simplify -1 into -1
13.074 * [taylor]: Taking taylor expansion of im in im
13.074 * [backup-simplify]: Simplify 0 into 0
13.074 * [backup-simplify]: Simplify 1 into 1
13.075 * [backup-simplify]: Simplify (/ -1 1) into -1
13.075 * [backup-simplify]: Simplify (* -1 -1) into 1
13.076 * [backup-simplify]: Simplify (+ 0 1) into 1
13.076 * [backup-simplify]: Simplify (sqrt 1) into 1
13.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.079 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.079 * [backup-simplify]: Simplify (+ 0 0) into 0
13.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.080 * [backup-simplify]: Simplify (sqrt 0) into 0
13.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.082 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
13.082 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
13.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.082 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
13.082 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
13.082 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.082 * [taylor]: Taking taylor expansion of -1 in im
13.082 * [backup-simplify]: Simplify -1 into -1
13.082 * [taylor]: Taking taylor expansion of re in im
13.082 * [backup-simplify]: Simplify re into re
13.082 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.082 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.082 * [taylor]: Taking taylor expansion of -1 in im
13.082 * [backup-simplify]: Simplify -1 into -1
13.082 * [taylor]: Taking taylor expansion of re in im
13.082 * [backup-simplify]: Simplify re into re
13.082 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.082 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
13.083 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.083 * [taylor]: Taking taylor expansion of -1 in im
13.083 * [backup-simplify]: Simplify -1 into -1
13.083 * [taylor]: Taking taylor expansion of im in im
13.083 * [backup-simplify]: Simplify 0 into 0
13.083 * [backup-simplify]: Simplify 1 into 1
13.083 * [backup-simplify]: Simplify (/ -1 1) into -1
13.084 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.084 * [taylor]: Taking taylor expansion of -1 in im
13.084 * [backup-simplify]: Simplify -1 into -1
13.084 * [taylor]: Taking taylor expansion of im in im
13.084 * [backup-simplify]: Simplify 0 into 0
13.084 * [backup-simplify]: Simplify 1 into 1
13.084 * [backup-simplify]: Simplify (/ -1 1) into -1
13.085 * [backup-simplify]: Simplify (* -1 -1) into 1
13.085 * [backup-simplify]: Simplify (+ 0 1) into 1
13.085 * [backup-simplify]: Simplify (sqrt 1) into 1
13.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.088 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.088 * [backup-simplify]: Simplify (+ 0 0) into 0
13.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.089 * [backup-simplify]: Simplify (sqrt 0) into 0
13.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.091 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.091 * [taylor]: Taking taylor expansion of re in im
13.091 * [backup-simplify]: Simplify re into re
13.091 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.091 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
13.091 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
13.091 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
13.091 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
13.091 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.091 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.091 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.091 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.091 * [taylor]: Taking taylor expansion of -1 in re
13.091 * [backup-simplify]: Simplify -1 into -1
13.091 * [taylor]: Taking taylor expansion of re in re
13.091 * [backup-simplify]: Simplify 0 into 0
13.091 * [backup-simplify]: Simplify 1 into 1
13.092 * [backup-simplify]: Simplify (/ -1 1) into -1
13.092 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.092 * [taylor]: Taking taylor expansion of -1 in re
13.092 * [backup-simplify]: Simplify -1 into -1
13.092 * [taylor]: Taking taylor expansion of re in re
13.092 * [backup-simplify]: Simplify 0 into 0
13.092 * [backup-simplify]: Simplify 1 into 1
13.092 * [backup-simplify]: Simplify (/ -1 1) into -1
13.092 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.092 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.092 * [taylor]: Taking taylor expansion of -1 in re
13.093 * [backup-simplify]: Simplify -1 into -1
13.093 * [taylor]: Taking taylor expansion of im in re
13.093 * [backup-simplify]: Simplify im into im
13.093 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.093 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.093 * [taylor]: Taking taylor expansion of -1 in re
13.093 * [backup-simplify]: Simplify -1 into -1
13.093 * [taylor]: Taking taylor expansion of im in re
13.093 * [backup-simplify]: Simplify im into im
13.093 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.093 * [backup-simplify]: Simplify (* -1 -1) into 1
13.094 * [backup-simplify]: Simplify (+ 1 0) into 1
13.094 * [backup-simplify]: Simplify (sqrt 1) into 1
13.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.097 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.097 * [backup-simplify]: Simplify (+ 0 0) into 0
13.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.098 * [backup-simplify]: Simplify (sqrt 0) into 0
13.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.099 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
13.099 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.100 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.100 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.100 * [taylor]: Taking taylor expansion of -1 in re
13.100 * [backup-simplify]: Simplify -1 into -1
13.100 * [taylor]: Taking taylor expansion of re in re
13.100 * [backup-simplify]: Simplify 0 into 0
13.100 * [backup-simplify]: Simplify 1 into 1
13.100 * [backup-simplify]: Simplify (/ -1 1) into -1
13.100 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.100 * [taylor]: Taking taylor expansion of -1 in re
13.100 * [backup-simplify]: Simplify -1 into -1
13.100 * [taylor]: Taking taylor expansion of re in re
13.100 * [backup-simplify]: Simplify 0 into 0
13.100 * [backup-simplify]: Simplify 1 into 1
13.101 * [backup-simplify]: Simplify (/ -1 1) into -1
13.101 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.101 * [taylor]: Taking taylor expansion of -1 in re
13.101 * [backup-simplify]: Simplify -1 into -1
13.101 * [taylor]: Taking taylor expansion of im in re
13.101 * [backup-simplify]: Simplify im into im
13.101 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.101 * [taylor]: Taking taylor expansion of -1 in re
13.101 * [backup-simplify]: Simplify -1 into -1
13.101 * [taylor]: Taking taylor expansion of im in re
13.101 * [backup-simplify]: Simplify im into im
13.101 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.102 * [backup-simplify]: Simplify (* -1 -1) into 1
13.102 * [backup-simplify]: Simplify (+ 1 0) into 1
13.103 * [backup-simplify]: Simplify (sqrt 1) into 1
13.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.105 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.105 * [backup-simplify]: Simplify (+ 0 0) into 0
13.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.107 * [backup-simplify]: Simplify (sqrt 0) into 0
13.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.108 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.108 * [taylor]: Taking taylor expansion of re in re
13.108 * [backup-simplify]: Simplify 0 into 0
13.108 * [backup-simplify]: Simplify 1 into 1
13.108 * [backup-simplify]: Simplify (/ 1 1) into 1
13.108 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
13.109 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
13.109 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
13.109 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
13.109 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.109 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.109 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.109 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.109 * [taylor]: Taking taylor expansion of -1 in re
13.109 * [backup-simplify]: Simplify -1 into -1
13.109 * [taylor]: Taking taylor expansion of re in re
13.109 * [backup-simplify]: Simplify 0 into 0
13.109 * [backup-simplify]: Simplify 1 into 1
13.110 * [backup-simplify]: Simplify (/ -1 1) into -1
13.110 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.110 * [taylor]: Taking taylor expansion of -1 in re
13.110 * [backup-simplify]: Simplify -1 into -1
13.110 * [taylor]: Taking taylor expansion of re in re
13.110 * [backup-simplify]: Simplify 0 into 0
13.110 * [backup-simplify]: Simplify 1 into 1
13.110 * [backup-simplify]: Simplify (/ -1 1) into -1
13.110 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.110 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.110 * [taylor]: Taking taylor expansion of -1 in re
13.110 * [backup-simplify]: Simplify -1 into -1
13.111 * [taylor]: Taking taylor expansion of im in re
13.111 * [backup-simplify]: Simplify im into im
13.111 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.111 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.111 * [taylor]: Taking taylor expansion of -1 in re
13.111 * [backup-simplify]: Simplify -1 into -1
13.111 * [taylor]: Taking taylor expansion of im in re
13.111 * [backup-simplify]: Simplify im into im
13.111 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.111 * [backup-simplify]: Simplify (* -1 -1) into 1
13.112 * [backup-simplify]: Simplify (+ 1 0) into 1
13.112 * [backup-simplify]: Simplify (sqrt 1) into 1
13.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.115 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.115 * [backup-simplify]: Simplify (+ 0 0) into 0
13.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.118 * [backup-simplify]: Simplify (sqrt 0) into 0
13.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.120 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
13.120 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.120 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.120 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.120 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.120 * [taylor]: Taking taylor expansion of -1 in re
13.120 * [backup-simplify]: Simplify -1 into -1
13.120 * [taylor]: Taking taylor expansion of re in re
13.120 * [backup-simplify]: Simplify 0 into 0
13.120 * [backup-simplify]: Simplify 1 into 1
13.121 * [backup-simplify]: Simplify (/ -1 1) into -1
13.121 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.121 * [taylor]: Taking taylor expansion of -1 in re
13.121 * [backup-simplify]: Simplify -1 into -1
13.121 * [taylor]: Taking taylor expansion of re in re
13.121 * [backup-simplify]: Simplify 0 into 0
13.121 * [backup-simplify]: Simplify 1 into 1
13.121 * [backup-simplify]: Simplify (/ -1 1) into -1
13.121 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.121 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.122 * [taylor]: Taking taylor expansion of -1 in re
13.122 * [backup-simplify]: Simplify -1 into -1
13.122 * [taylor]: Taking taylor expansion of im in re
13.122 * [backup-simplify]: Simplify im into im
13.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.122 * [taylor]: Taking taylor expansion of -1 in re
13.122 * [backup-simplify]: Simplify -1 into -1
13.122 * [taylor]: Taking taylor expansion of im in re
13.122 * [backup-simplify]: Simplify im into im
13.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.122 * [backup-simplify]: Simplify (* -1 -1) into 1
13.123 * [backup-simplify]: Simplify (+ 1 0) into 1
13.123 * [backup-simplify]: Simplify (sqrt 1) into 1
13.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.126 * [backup-simplify]: Simplify (+ 0 0) into 0
13.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.127 * [backup-simplify]: Simplify (sqrt 0) into 0
13.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.128 * [taylor]: Taking taylor expansion of re in re
13.128 * [backup-simplify]: Simplify 0 into 0
13.128 * [backup-simplify]: Simplify 1 into 1
13.129 * [backup-simplify]: Simplify (/ 1 1) into 1
13.129 * [backup-simplify]: Simplify (* 0 0) into 0
13.130 * [backup-simplify]: Simplify (+ 0 0) into 0
13.130 * [taylor]: Taking taylor expansion of 0 in im
13.130 * [backup-simplify]: Simplify 0 into 0
13.130 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
13.131 * [backup-simplify]: Simplify (+ 0 1) into 1
13.131 * [taylor]: Taking taylor expansion of 1 in im
13.131 * [backup-simplify]: Simplify 1 into 1
13.133 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.135 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.137 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
13.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.138 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
13.138 * [taylor]: Taking taylor expansion of (- +nan.0) in im
13.138 * [taylor]: Taking taylor expansion of +nan.0 in im
13.138 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.138 * [backup-simplify]: Simplify 0 into 0
13.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.140 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
13.140 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.142 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
13.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.144 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
13.144 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.145 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.146 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
13.147 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
13.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.148 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
13.148 * [taylor]: Taking taylor expansion of (- +nan.0) in im
13.148 * [taylor]: Taking taylor expansion of +nan.0 in im
13.148 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.148 * [backup-simplify]: Simplify 1 into 1
13.148 * [backup-simplify]: Simplify 0 into 0
13.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
13.150 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.150 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.150 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
13.151 * [backup-simplify]: Simplify (+ 0 0) into 0
13.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.152 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
13.154 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.154 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.154 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
13.154 * [backup-simplify]: Simplify (+ 0 0) into 0
13.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.156 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.157 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.158 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
13.159 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
13.159 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
13.159 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
13.159 * [taylor]: Taking taylor expansion of +nan.0 in im
13.159 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.159 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.159 * [taylor]: Taking taylor expansion of im in im
13.159 * [backup-simplify]: Simplify 0 into 0
13.159 * [backup-simplify]: Simplify 1 into 1
13.159 * [backup-simplify]: Simplify (* 1 1) into 1
13.159 * [backup-simplify]: Simplify (/ 1 1) into 1
13.159 * [taylor]: Taking taylor expansion of (- +nan.0) in im
13.159 * [taylor]: Taking taylor expansion of +nan.0 in im
13.159 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.160 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
13.160 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.160 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
13.161 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.161 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.163 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
13.163 * * * [progress]: simplifying candidates
13.165 * [simplify]: Simplifying:
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (expm1 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (log1p (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (+ 1 1)
  (+ (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (log (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (exp (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* 1 1)
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 1))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 1)
  (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
13.169 * * [simplify]: iteration 0: 73 enodes
13.205 * * [simplify]: iteration 1: 154 enodes
13.251 * * [simplify]: iteration 2: 313 enodes
13.460 * * [simplify]: iteration 3: 1071 enodes
14.595 * * [simplify]: iteration complete: 5001 enodes
14.596 * * [simplify]: Extracting #0: cost 21 inf + 0
14.597 * * [simplify]: Extracting #1: cost 373 inf + 2
14.605 * * [simplify]: Extracting #2: cost 1278 inf + 2211
14.623 * * [simplify]: Extracting #3: cost 1293 inf + 25191
14.681 * * [simplify]: Extracting #4: cost 783 inf + 153876
14.778 * * [simplify]: Extracting #5: cost 100 inf + 368567
14.904 * * [simplify]: Extracting #6: cost 0 inf + 403016
15.017 * [simplify]: Simplified to:
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (hypot re im)
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (hypot re im)
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  1
  1
  2
  1
  1
  (* (- (hypot re im) re) (- (hypot re im) re))
  (- (hypot re im) re)
  (* (- (hypot re im) re) (- (hypot re im) re))
  2
  (log (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (* (sqrt (- (hypot re im) re)) (cbrt (sqrt (- (hypot re im) re))))
  (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  2
  1
  (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))))
  (* (fabs (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (sqrt (- (hypot re im) re)) (cbrt (sqrt (- (hypot re im) re))))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (- im re)
  (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re)))
  (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re)))
  (- im re)
  (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re)))
  (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re)))
  (- im re)
  (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re)))
  (fma (* (/ im re) (/ im re)) +nan.0 (- (+ +nan.0 re)))
15.025 * * * [progress]: adding candidates to table
15.440 * [progress]: [Phase 3 of 3] Extracting.
15.440 * * [regime]: Finding splitpoints for: (#<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))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (exp (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 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))))>)
15.444 * * * [regime-changes]: Trying 2 branch expressions: (im re)
15.445 * * * * [regimes]: Trying to branch on im from (#<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))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (exp (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 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))))>)
15.522 * * * * [regimes]: Trying to branch on re from (#<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))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (exp (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 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))))>)
15.632 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
15.632 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
15.632 * * [simplify]: iteration 0: 9 enodes
15.633 * * [simplify]: iteration 1: 11 enodes
15.633 * * [simplify]: iteration complete: 11 enodes
15.633 * * [simplify]: Extracting #0: cost 1 inf + 0
15.633 * * [simplify]: Extracting #1: cost 3 inf + 0
15.633 * * [simplify]: Extracting #2: cost 3 inf + 1
15.633 * * [simplify]: Extracting #3: cost 5 inf + 1
15.633 * * [simplify]: Extracting #4: cost 6 inf + 2
15.633 * * [simplify]: Extracting #5: cost 6 inf + 3
15.633 * * [simplify]: Extracting #6: cost 0 inf + 693
15.633 * [simplify]: Simplified to:
  (* (sqrt (* (- (hypot re im) re) 2.0)) 0.5)
19.556 * [regime-testing]: Baseline error score: 13.156042665153475
19.566 * [regime-testing]: Oracle error score: 12.974301373021945
19.586 * [regime-testing]: End program error score: 13.156042665153475