0.003 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.197 * * * [progress]: [2/2] Setting up program. 0.204 * [progress]: [Phase 2 of 3] Improving. 0.204 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.206 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.207 * * [simplify]: iters left: 6 (12 enodes) 0.219 * * [simplify]: iters left: 5 (41 enodes) 0.233 * * [simplify]: iters left: 4 (50 enodes) 0.248 * * [simplify]: iters left: 3 (64 enodes) 0.289 * * [simplify]: iters left: 2 (73 enodes) 0.305 * * [simplify]: iters left: 1 (75 enodes) 0.315 * * [simplify]: Extracting #0: cost 1 inf + 0 0.315 * * [simplify]: Extracting #1: cost 4 inf + 0 0.315 * * [simplify]: Extracting #2: cost 5 inf + 1 0.315 * * [simplify]: Extracting #3: cost 11 inf + 1 0.316 * * [simplify]: Extracting #4: cost 18 inf + 2 0.316 * * [simplify]: Extracting #5: cost 17 inf + 209 0.316 * * [simplify]: Extracting #6: cost 16 inf + 415 0.316 * * [simplify]: Extracting #7: cost 18 inf + 456 0.316 * * [simplify]: Extracting #8: cost 15 inf + 539 0.317 * * [simplify]: Extracting #9: cost 7 inf + 1795 0.317 * * [simplify]: Extracting #10: cost 0 inf + 3658 0.318 * [simplify]: Simplified to (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.318 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.323 * * [progress]: iteration 1 / 4 0.323 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.356 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.398 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.438 * * * [progress]: generating series expansions 0.438 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.446 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.446 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.447 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.447 * [taylor]: Taking taylor expansion of im in im 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.448 * [taylor]: Taking taylor expansion of re in im 0.448 * [backup-simplify]: Simplify re into re 0.449 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.449 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.449 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.449 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.450 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.450 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.450 * [taylor]: Taking taylor expansion of im in re 0.450 * [backup-simplify]: Simplify im into im 0.450 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.451 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.451 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.451 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.451 * [taylor]: Taking taylor expansion of im in re 0.451 * [backup-simplify]: Simplify im into im 0.451 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.451 * [taylor]: Taking taylor expansion of re in re 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.451 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.451 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.452 * [taylor]: Taking taylor expansion of im in im 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [taylor]: Taking taylor expansion of 0 in im 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ 0 1) into 1 0.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.454 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.454 * [taylor]: Taking taylor expansion of 1/2 in im 0.454 * [backup-simplify]: Simplify 1/2 into 1/2 0.454 * [taylor]: Taking taylor expansion of im in im 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.458 * [taylor]: Taking taylor expansion of 0 in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.459 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.460 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.460 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.460 * [taylor]: Taking taylor expansion of re in im 0.460 * [backup-simplify]: Simplify re into re 0.460 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.460 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (+ 0 1) into 1 0.461 * [backup-simplify]: Simplify (sqrt 1) into 1 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.463 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.463 * [taylor]: Taking taylor expansion of im in re 0.463 * [backup-simplify]: Simplify im into im 0.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.463 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (sqrt 1) into 1 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.465 * [taylor]: Taking taylor expansion of re in re 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [backup-simplify]: Simplify im into im 0.466 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.467 * [backup-simplify]: Simplify (+ 1 0) into 1 0.467 * [backup-simplify]: Simplify (sqrt 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.468 * [taylor]: Taking taylor expansion of 1 in im 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of 0 in im 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.471 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.471 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.471 * [taylor]: Taking taylor expansion of 1/2 in im 0.471 * [backup-simplify]: Simplify 1/2 into 1/2 0.471 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.478 * [taylor]: Taking taylor expansion of 0 in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.480 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.480 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.480 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.480 * [taylor]: Taking taylor expansion of re in im 0.480 * [backup-simplify]: Simplify re into re 0.480 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.480 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.480 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.481 * [taylor]: Taking taylor expansion of im in im 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.483 * [taylor]: Taking taylor expansion of re in re 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.484 * [backup-simplify]: Simplify (+ 1 0) into 1 0.484 * [backup-simplify]: Simplify (sqrt 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.486 * [taylor]: Taking taylor expansion of re in re 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.487 * [taylor]: Taking taylor expansion of im in re 0.487 * [backup-simplify]: Simplify im into im 0.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.487 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (sqrt 1) into 1 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [taylor]: Taking taylor expansion of 1 in im 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of 0 in im 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.494 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.494 * [taylor]: Taking taylor expansion of (/ 1/2 (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 (pow im 2) in im 0.494 * [taylor]: Taking taylor expansion of im in im 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.503 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.503 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.503 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.503 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.503 * [taylor]: Taking taylor expansion of im in im 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.504 * [taylor]: Taking taylor expansion of re in im 0.504 * [backup-simplify]: Simplify re into re 0.504 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.504 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.504 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.504 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.505 * [taylor]: Taking taylor expansion of re in im 0.505 * [backup-simplify]: Simplify re into re 0.505 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.505 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.505 * [taylor]: Taking taylor expansion of im in re 0.505 * [backup-simplify]: Simplify im into im 0.505 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.505 * [taylor]: Taking taylor expansion of re in re 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.505 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.505 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.506 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.506 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.506 * [taylor]: Taking taylor expansion of im in re 0.506 * [backup-simplify]: Simplify im into im 0.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.506 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.506 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.507 * [taylor]: Taking taylor expansion of re in re 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ im 0) into im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- 1) into -1 0.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.509 * [taylor]: Taking taylor expansion of -1 in im 0.509 * [backup-simplify]: Simplify -1 into -1 0.509 * [backup-simplify]: Simplify -1 into -1 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.511 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.511 * [backup-simplify]: Simplify (- 0) into 0 0.511 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.511 * [taylor]: Taking taylor expansion of 1/2 in im 0.511 * [backup-simplify]: Simplify 1/2 into 1/2 0.511 * [taylor]: Taking taylor expansion of (/ 1 im) in im 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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [taylor]: Taking taylor expansion of 0 in im 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.518 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.518 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.518 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.518 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.518 * [taylor]: Taking taylor expansion of re in im 0.518 * [backup-simplify]: Simplify re into re 0.518 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [backup-simplify]: Simplify (+ 0 1) into 1 0.520 * [backup-simplify]: Simplify (sqrt 1) into 1 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.522 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.522 * [taylor]: Taking taylor expansion of re in im 0.522 * [backup-simplify]: Simplify re into re 0.522 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.522 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.522 * [taylor]: Taking taylor expansion of re in re 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.523 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.523 * [taylor]: Taking taylor expansion of im in re 0.523 * [backup-simplify]: Simplify im into im 0.523 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (sqrt 1) into 1 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [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 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.528 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.528 * [taylor]: Taking taylor expansion of im in re 0.528 * [backup-simplify]: Simplify im into im 0.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [backup-simplify]: Simplify (sqrt 1) into 1 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (- 1) into -1 0.532 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.532 * [taylor]: Taking taylor expansion of 0 in im 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- 0) 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 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.538 * [taylor]: Taking taylor expansion of 1/2 in im 0.538 * [backup-simplify]: Simplify 1/2 into 1/2 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [taylor]: Taking taylor expansion of 0 in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.550 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.550 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.550 * [taylor]: Taking taylor expansion of re in im 0.550 * [backup-simplify]: Simplify re into re 0.551 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.551 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.551 * [taylor]: Taking taylor expansion of re in im 0.551 * [backup-simplify]: Simplify re into re 0.551 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.551 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.551 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [backup-simplify]: Simplify (+ 0 1) into 1 0.553 * [backup-simplify]: Simplify (sqrt 1) into 1 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.556 * [taylor]: Taking taylor expansion of re in re 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.556 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.556 * [taylor]: Taking taylor expansion of re in re 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.557 * [taylor]: Taking taylor expansion of im in re 0.557 * [backup-simplify]: Simplify im into im 0.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.558 * [backup-simplify]: Simplify (sqrt 1) into 1 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.561 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.562 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.563 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.563 * [taylor]: Taking taylor expansion of im in re 0.563 * [backup-simplify]: Simplify im into im 0.563 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.563 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.564 * [backup-simplify]: Simplify (+ 1 0) into 1 0.564 * [backup-simplify]: Simplify (sqrt 1) into 1 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.567 * [backup-simplify]: Simplify (+ 1 1) into 2 0.567 * [taylor]: Taking taylor expansion of 2 in im 0.567 * [backup-simplify]: Simplify 2 into 2 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [taylor]: Taking taylor expansion of 0 in im 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 2 into 2 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.573 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.573 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.573 * [taylor]: Taking taylor expansion of 1/2 in im 0.573 * [backup-simplify]: Simplify 1/2 into 1/2 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (* 1 1) into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [taylor]: Taking taylor expansion of 0 in im 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.585 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.585 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 0.585 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 0.585 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 0.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.585 * [taylor]: Taking taylor expansion of 2.0 in im 0.586 * [backup-simplify]: Simplify 2.0 into 2.0 0.586 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.587 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 0.587 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.587 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.587 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.587 * [taylor]: Taking taylor expansion of re in im 0.587 * [backup-simplify]: Simplify re into re 0.587 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.587 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.587 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.587 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.588 * [taylor]: Taking taylor expansion of re in im 0.588 * [backup-simplify]: Simplify re into re 0.588 * [backup-simplify]: Simplify (- re) into (- re) 0.588 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.590 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.592 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.593 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.595 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.595 * [taylor]: Taking taylor expansion of 2.0 in re 0.595 * [backup-simplify]: Simplify 2.0 into 2.0 0.595 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.596 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.596 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.596 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.596 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.596 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.596 * [taylor]: Taking taylor expansion of im in re 0.596 * [backup-simplify]: Simplify im into im 0.596 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.596 * [taylor]: Taking taylor expansion of re in re 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.597 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.597 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.597 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify (+ im 0) into im 0.598 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.598 * [backup-simplify]: Simplify (- 1) into -1 0.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.599 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.599 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.599 * [taylor]: Taking taylor expansion of 2.0 in re 0.599 * [backup-simplify]: Simplify 2.0 into 2.0 0.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.600 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.600 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.600 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.600 * [taylor]: Taking taylor expansion of im in re 0.600 * [backup-simplify]: Simplify im into im 0.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.601 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.601 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.601 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.602 * [taylor]: Taking taylor expansion of re in re 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ im 0) into im 0.602 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.603 * [backup-simplify]: Simplify (- 1) into -1 0.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.603 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.604 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.604 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.604 * [taylor]: Taking taylor expansion of 2.0 in im 0.604 * [backup-simplify]: Simplify 2.0 into 2.0 0.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.605 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (sqrt 0) into 0 0.607 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.610 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.612 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.612 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.612 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.612 * [taylor]: Taking taylor expansion of 1/2 in im 0.612 * [backup-simplify]: Simplify 1/2 into 1/2 0.612 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.613 * [taylor]: Taking taylor expansion of 2.0 in im 0.613 * [backup-simplify]: Simplify 2.0 into 2.0 0.613 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.614 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.614 * [taylor]: Taking taylor expansion of im in im 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [backup-simplify]: Simplify (sqrt 0) into 0 0.616 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.625 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.633 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.633 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.641 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.643 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.646 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.652 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.657 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0.658 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.658 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.658 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.658 * [taylor]: Taking taylor expansion of 2.0 in im 0.658 * [backup-simplify]: Simplify 2.0 into 2.0 0.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.659 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.659 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.659 * [taylor]: Taking taylor expansion of re in im 0.659 * [backup-simplify]: Simplify re into re 0.659 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.659 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.660 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [backup-simplify]: Simplify (+ 0 1) into 1 0.662 * [backup-simplify]: Simplify (sqrt 1) into 1 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.664 * [taylor]: Taking taylor expansion of re in im 0.664 * [backup-simplify]: Simplify re into re 0.664 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.665 * [backup-simplify]: Simplify (+ 1 0) into 1 0.665 * [backup-simplify]: Simplify (sqrt 0) into 0 0.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.667 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.667 * [taylor]: Taking taylor expansion of 2.0 in re 0.667 * [backup-simplify]: Simplify 2.0 into 2.0 0.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.668 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.668 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (* 1 1) into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.669 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.669 * [backup-simplify]: Simplify im into im 0.669 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.669 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.670 * [backup-simplify]: Simplify (+ 1 0) into 1 0.670 * [backup-simplify]: Simplify (sqrt 1) into 1 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [backup-simplify]: Simplify (- 1) into -1 0.674 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.681 * [backup-simplify]: Simplify (sqrt 0) into 0 0.681 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.681 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.681 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.681 * [taylor]: Taking taylor expansion of 2.0 in re 0.681 * [backup-simplify]: Simplify 2.0 into 2.0 0.682 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.682 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.682 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (* 1 1) into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [backup-simplify]: Simplify im into im 0.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.684 * [backup-simplify]: Simplify (+ 1 0) into 1 0.684 * [backup-simplify]: Simplify (sqrt 1) into 1 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [backup-simplify]: Simplify (- 1) into -1 0.687 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.692 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.693 * [backup-simplify]: Simplify (sqrt 0) into 0 0.694 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.694 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.694 * [taylor]: Taking taylor expansion of 0 in im 0.694 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.695 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.695 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.695 * [taylor]: Taking taylor expansion of +nan.0 in im 0.695 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.695 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.695 * [taylor]: Taking taylor expansion of 2.0 in im 0.695 * [backup-simplify]: Simplify 2.0 into 2.0 0.696 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.706 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.707 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.707 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.707 * [taylor]: Taking taylor expansion of +nan.0 in im 0.707 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.707 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.707 * [taylor]: Taking taylor expansion of 2.0 in im 0.707 * [backup-simplify]: Simplify 2.0 into 2.0 0.707 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.708 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.710 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.711 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.731 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.734 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.734 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.734 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.734 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.734 * [taylor]: Taking taylor expansion of +nan.0 in im 0.734 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.734 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.734 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.734 * [taylor]: Taking taylor expansion of 2.0 in im 0.734 * [backup-simplify]: Simplify 2.0 into 2.0 0.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.735 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.737 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.737 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.737 * [taylor]: Taking taylor expansion of +nan.0 in im 0.737 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.737 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.737 * [taylor]: Taking taylor expansion of 2.0 in im 0.737 * [backup-simplify]: Simplify 2.0 into 2.0 0.737 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.738 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.740 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.755 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.782 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.782 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.782 * [taylor]: Taking taylor expansion of 2.0 in im 0.782 * [backup-simplify]: Simplify 2.0 into 2.0 0.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [backup-simplify]: Simplify re into re 0.783 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [backup-simplify]: Simplify re into re 0.783 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.783 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (* 1 1) into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [backup-simplify]: Simplify (+ 0 1) into 1 0.785 * [backup-simplify]: Simplify (sqrt 1) into 1 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.787 * [backup-simplify]: Simplify (+ 0 1) into 1 0.788 * [backup-simplify]: Simplify (sqrt 0) into 0 0.789 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.789 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.789 * [taylor]: Taking taylor expansion of 2.0 in re 0.789 * [backup-simplify]: Simplify 2.0 into 2.0 0.789 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.791 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.791 * [backup-simplify]: Simplify im into im 0.791 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.791 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.792 * [backup-simplify]: Simplify (+ 1 0) into 1 0.792 * [backup-simplify]: Simplify (sqrt 1) into 1 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.795 * [backup-simplify]: Simplify (+ 1 1) into 2 0.795 * [backup-simplify]: Simplify (sqrt 0) into 0 0.796 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.796 * [taylor]: Taking taylor expansion of 2.0 in re 0.796 * [backup-simplify]: Simplify 2.0 into 2.0 0.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.797 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.798 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.798 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.798 * [backup-simplify]: Simplify im into im 0.799 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.799 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [backup-simplify]: Simplify (sqrt 1) into 1 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.802 * [backup-simplify]: Simplify (+ 1 1) into 2 0.802 * [backup-simplify]: Simplify (sqrt 0) into 0 0.803 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.804 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.804 * [taylor]: Taking taylor expansion of 0 in im 0.804 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.806 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.806 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.806 * [taylor]: Taking taylor expansion of +nan.0 in im 0.806 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.806 * [taylor]: Taking taylor expansion of 2.0 in im 0.806 * [backup-simplify]: Simplify 2.0 into 2.0 0.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.813 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.813 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.814 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.814 * [taylor]: Taking taylor expansion of +nan.0 in im 0.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.814 * [taylor]: Taking taylor expansion of 2.0 in im 0.814 * [backup-simplify]: Simplify 2.0 into 2.0 0.814 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.816 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.817 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.818 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.823 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.823 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.825 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.828 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.828 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.828 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.828 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.828 * [taylor]: Taking taylor expansion of +nan.0 in im 0.828 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.828 * [taylor]: Taking taylor expansion of 2.0 in im 0.828 * [backup-simplify]: Simplify 2.0 into 2.0 0.829 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.830 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.830 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.830 * [taylor]: Taking taylor expansion of +nan.0 in im 0.830 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.830 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.830 * [taylor]: Taking taylor expansion of 2.0 in im 0.830 * [backup-simplify]: Simplify 2.0 into 2.0 0.830 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.831 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.831 * [taylor]: Taking taylor expansion of im in im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.839 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.841 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.842 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.842 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.852 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.852 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.852 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.852 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.852 * [taylor]: Taking taylor expansion of +nan.0 in im 0.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.852 * [taylor]: Taking taylor expansion of 2.0 in im 0.852 * [backup-simplify]: Simplify 2.0 into 2.0 0.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.854 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.854 * [taylor]: Taking taylor expansion of +nan.0 in im 0.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.854 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.854 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.854 * [taylor]: Taking taylor expansion of 2.0 in im 0.854 * [backup-simplify]: Simplify 2.0 into 2.0 0.854 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.854 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.855 * [taylor]: Taking taylor expansion of im in im 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (* 1 1) into 1 0.855 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (- 0) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.861 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.863 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.864 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.868 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.869 * * * [progress]: simplifying candidates 0.869 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.869 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.869 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.869 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.869 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.869 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.869 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.869 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.870 * * [simplify]: iters left: 6 (8 enodes) 0.871 * * [simplify]: iters left: 5 (26 enodes) 0.875 * * [simplify]: Extracting #0: cost 1 inf + 0 0.875 * * [simplify]: Extracting #1: cost 4 inf + 0 0.875 * * [simplify]: Extracting #2: cost 7 inf + 0 0.875 * * [simplify]: Extracting #3: cost 10 inf + 0 0.875 * * [simplify]: Extracting #4: cost 14 inf + 0 0.875 * * [simplify]: Extracting #5: cost 10 inf + 84 0.875 * * [simplify]: Extracting #6: cost 8 inf + 166 0.875 * * [simplify]: Extracting #7: cost 4 inf + 854 0.875 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.876 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.876 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.876 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 0.876 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.876 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.876 * * [simplify]: iters left: 6 (7 enodes) 0.878 * * [simplify]: iters left: 5 (22 enodes) 0.881 * * [simplify]: Extracting #0: cost 1 inf + 0 0.881 * * [simplify]: Extracting #1: cost 3 inf + 0 0.881 * * [simplify]: Extracting #2: cost 5 inf + 0 0.881 * * [simplify]: Extracting #3: cost 8 inf + 0 0.881 * * [simplify]: Extracting #4: cost 12 inf + 0 0.881 * * [simplify]: Extracting #5: cost 10 inf + 2 0.881 * * [simplify]: Extracting #6: cost 1 inf + 936 0.882 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.882 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.882 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 0.882 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.882 * [simplify]: Simplifying (sqrt 1) 0.882 * * [simplify]: iters left: 1 (2 enodes) 0.888 * * [simplify]: Extracting #0: cost 1 inf + 0 0.888 * * [simplify]: Extracting #1: cost 0 inf + 1 0.888 * [simplify]: Simplified to 1 0.888 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.888 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.888 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.888 * * [simplify]: iters left: 6 (9 enodes) 0.891 * * [simplify]: iters left: 5 (45 enodes) 0.902 * * [simplify]: iters left: 4 (100 enodes) 0.927 * * [simplify]: iters left: 3 (201 enodes) 1.000 * * [simplify]: iters left: 2 (406 enodes) 1.142 * * [simplify]: Extracting #0: cost 1 inf + 0 1.142 * * [simplify]: Extracting #1: cost 3 inf + 0 1.142 * * [simplify]: Extracting #2: cost 6 inf + 0 1.142 * * [simplify]: Extracting #3: cost 62 inf + 0 1.142 * * [simplify]: Extracting #4: cost 166 inf + 460 1.144 * * [simplify]: Extracting #5: cost 131 inf + 12951 1.148 * * [simplify]: Extracting #6: cost 49 inf + 45746 1.153 * * [simplify]: Extracting #7: cost 1 inf + 66256 1.158 * * [simplify]: Extracting #8: cost 0 inf + 65919 1.164 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 1.164 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 1.164 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 1.165 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.165 * * [simplify]: iters left: 6 (8 enodes) 1.168 * * [simplify]: iters left: 5 (37 enodes) 1.183 * * [simplify]: iters left: 4 (67 enodes) 1.206 * * [simplify]: iters left: 3 (123 enodes) 1.251 * * [simplify]: iters left: 2 (278 enodes) 1.387 * * [simplify]: Extracting #0: cost 1 inf + 0 1.387 * * [simplify]: Extracting #1: cost 3 inf + 0 1.387 * * [simplify]: Extracting #2: cost 50 inf + 0 1.388 * * [simplify]: Extracting #3: cost 150 inf + 0 1.389 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.391 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.397 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.406 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.418 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.419 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 1.419 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 1.419 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.419 * * [simplify]: iters left: 4 (5 enodes) 1.421 * * [simplify]: iters left: 3 (16 enodes) 1.425 * * [simplify]: Extracting #0: cost 1 inf + 0 1.425 * * [simplify]: Extracting #1: cost 4 inf + 0 1.425 * * [simplify]: Extracting #2: cost 8 inf + 0 1.425 * * [simplify]: Extracting #3: cost 4 inf + 84 1.426 * * [simplify]: Extracting #4: cost 0 inf + 410 1.426 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.426 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 1.426 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 1.426 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 1.426 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.426 * * [simplify]: iters left: 5 (6 enodes) 1.429 * * [simplify]: iters left: 4 (19 enodes) 1.433 * * [simplify]: Extracting #0: cost 1 inf + 0 1.433 * * [simplify]: Extracting #1: cost 3 inf + 0 1.433 * * [simplify]: Extracting #2: cost 6 inf + 0 1.433 * * [simplify]: Extracting #3: cost 10 inf + 0 1.433 * * [simplify]: Extracting #4: cost 6 inf + 84 1.434 * * [simplify]: Extracting #5: cost 0 inf + 734 1.434 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.434 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.434 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 1.434 * * * * [progress]: [ 16 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.434 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 1.435 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.435 * * [simplify]: iters left: 6 (9 enodes) 1.439 * * [simplify]: iters left: 5 (30 enodes) 1.447 * * [simplify]: iters left: 4 (34 enodes) 1.455 * * [simplify]: iters left: 3 (39 enodes) 1.464 * * [simplify]: iters left: 2 (44 enodes) 1.476 * * [simplify]: iters left: 1 (52 enodes) 1.491 * * [simplify]: Extracting #0: cost 1 inf + 0 1.491 * * [simplify]: Extracting #1: cost 9 inf + 0 1.491 * * [simplify]: Extracting #2: cost 15 inf + 1 1.491 * * [simplify]: Extracting #3: cost 17 inf + 2 1.491 * * [simplify]: Extracting #4: cost 18 inf + 114 1.491 * * [simplify]: Extracting #5: cost 15 inf + 601 1.492 * * [simplify]: Extracting #6: cost 7 inf + 1413 1.493 * * [simplify]: Extracting #7: cost 0 inf + 3047 1.494 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 1.494 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 1.494 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 1.494 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 1.494 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 1.494 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 1.494 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 1.495 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 1.495 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 1.497 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 1.497 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 1.497 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 1.497 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 1.498 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.498 * * [simplify]: iters left: 6 (9 enodes) 1.502 * * [simplify]: iters left: 5 (29 enodes) 1.510 * * [simplify]: Extracting #0: cost 1 inf + 0 1.510 * * [simplify]: Extracting #1: cost 4 inf + 0 1.510 * * [simplify]: Extracting #2: cost 8 inf + 0 1.510 * * [simplify]: Extracting #3: cost 9 inf + 1 1.510 * * [simplify]: Extracting #4: cost 11 inf + 42 1.510 * * [simplify]: Extracting #5: cost 12 inf + 124 1.510 * * [simplify]: Extracting #6: cost 8 inf + 248 1.510 * * [simplify]: Extracting #7: cost 5 inf + 654 1.510 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.511 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.511 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.511 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.511 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.511 * * [simplify]: iters left: 6 (9 enodes) 1.513 * * [simplify]: iters left: 5 (30 enodes) 1.518 * * [simplify]: iters left: 4 (33 enodes) 1.522 * * [simplify]: Extracting #0: cost 1 inf + 0 1.522 * * [simplify]: Extracting #1: cost 5 inf + 0 1.522 * * [simplify]: Extracting #2: cost 10 inf + 0 1.522 * * [simplify]: Extracting #3: cost 11 inf + 1 1.522 * * [simplify]: Extracting #4: cost 10 inf + 245 1.522 * * [simplify]: Extracting #5: cost 12 inf + 286 1.522 * * [simplify]: Extracting #6: cost 8 inf + 410 1.522 * * [simplify]: Extracting #7: cost 6 inf + 694 1.523 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.523 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.523 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.523 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.523 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 1.524 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.524 * * [simplify]: iters left: 6 (9 enodes) 1.525 * * [simplify]: iters left: 5 (29 enodes) 1.529 * * [simplify]: Extracting #0: cost 1 inf + 0 1.529 * * [simplify]: Extracting #1: cost 4 inf + 0 1.529 * * [simplify]: Extracting #2: cost 8 inf + 0 1.529 * * [simplify]: Extracting #3: cost 9 inf + 1 1.529 * * [simplify]: Extracting #4: cost 11 inf + 42 1.529 * * [simplify]: Extracting #5: cost 12 inf + 124 1.529 * * [simplify]: Extracting #6: cost 8 inf + 248 1.529 * * [simplify]: Extracting #7: cost 5 inf + 654 1.530 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.530 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.530 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.530 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.531 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.531 * * [simplify]: iters left: 6 (9 enodes) 1.532 * * [simplify]: iters left: 5 (30 enodes) 1.536 * * [simplify]: iters left: 4 (33 enodes) 1.541 * * [simplify]: Extracting #0: cost 1 inf + 0 1.541 * * [simplify]: Extracting #1: cost 5 inf + 0 1.541 * * [simplify]: Extracting #2: cost 10 inf + 0 1.541 * * [simplify]: Extracting #3: cost 11 inf + 1 1.542 * * [simplify]: Extracting #4: cost 10 inf + 245 1.542 * * [simplify]: Extracting #5: cost 12 inf + 286 1.542 * * [simplify]: Extracting #6: cost 8 inf + 410 1.542 * * [simplify]: Extracting #7: cost 6 inf + 694 1.542 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.543 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.543 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.543 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.543 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 1.544 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 1.544 * * [simplify]: iters left: 6 (7 enodes) 1.545 * * [simplify]: iters left: 5 (24 enodes) 1.549 * * [simplify]: iters left: 4 (27 enodes) 1.553 * * [simplify]: Extracting #0: cost 1 inf + 0 1.553 * * [simplify]: Extracting #1: cost 5 inf + 0 1.553 * * [simplify]: Extracting #2: cost 7 inf + 1 1.553 * * [simplify]: Extracting #3: cost 8 inf + 83 1.553 * * [simplify]: Extracting #4: cost 10 inf + 124 1.553 * * [simplify]: Extracting #5: cost 6 inf + 248 1.553 * * [simplify]: Extracting #6: cost 3 inf + 654 1.553 * * [simplify]: Extracting #7: cost 1 inf + 1018 1.554 * * [simplify]: Extracting #8: cost 0 inf + 1220 1.554 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 1.554 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 1.554 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 1.554 * * * * [progress]: [ 32 / 55 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.554 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 1.554 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 1.554 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 1.554 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 1.554 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 1.554 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 1.554 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 1.555 * [simplify]: Simplifying (sqrt 2.0) 1.555 * * [simplify]: iters left: 1 (2 enodes) 1.556 * * [simplify]: Extracting #0: cost 1 inf + 0 1.556 * * [simplify]: Extracting #1: cost 3 inf + 0 1.556 * * [simplify]: Extracting #2: cost 2 inf + 1 1.556 * * [simplify]: Extracting #3: cost 0 inf + 83 1.556 * [simplify]: Simplified to (sqrt 2.0) 1.556 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 1.557 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 1.557 * [simplify]: Simplifying (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.557 * * [simplify]: iters left: 6 (13 enodes) 1.561 * * [simplify]: iters left: 5 (55 enodes) 1.576 * * [simplify]: iters left: 4 (99 enodes) 1.609 * * [simplify]: iters left: 3 (233 enodes) 1.678 * * [simplify]: Extracting #0: cost 1 inf + 0 1.678 * * [simplify]: Extracting #1: cost 3 inf + 0 1.678 * * [simplify]: Extracting #2: cost 17 inf + 0 1.679 * * [simplify]: Extracting #3: cost 87 inf + 1 1.679 * * [simplify]: Extracting #4: cost 143 inf + 43 1.681 * * [simplify]: Extracting #5: cost 126 inf + 3453 1.689 * * [simplify]: Extracting #6: cost 53 inf + 22391 1.698 * * [simplify]: Extracting #7: cost 16 inf + 39442 1.706 * * [simplify]: Extracting #8: cost 0 inf + 49378 1.712 * [simplify]: Simplified to (sqrt (* 2.0 (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.712 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 1.712 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 1.712 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.713 * * [simplify]: iters left: 6 (11 enodes) 1.715 * * [simplify]: iters left: 5 (38 enodes) 1.721 * * [simplify]: iters left: 4 (70 enodes) 1.748 * * [simplify]: iters left: 3 (163 enodes) 1.828 * * [simplify]: iters left: 2 (400 enodes) 2.082 * * [simplify]: Extracting #0: cost 1 inf + 0 2.083 * * [simplify]: Extracting #1: cost 3 inf + 0 2.083 * * [simplify]: Extracting #2: cost 60 inf + 0 2.084 * * [simplify]: Extracting #3: cost 168 inf + 44 2.086 * * [simplify]: Extracting #4: cost 209 inf + 1112 2.092 * * [simplify]: Extracting #5: cost 129 inf + 16179 2.113 * * [simplify]: Extracting #6: cost 16 inf + 47708 2.140 * * [simplify]: Extracting #7: cost 0 inf + 52863 2.165 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.165 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 2.166 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 2.166 * [simplify]: Simplifying (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 2.166 * * [simplify]: iters left: 6 (9 enodes) 2.170 * * [simplify]: iters left: 5 (31 enodes) 2.183 * * [simplify]: iters left: 4 (40 enodes) 2.193 * * [simplify]: iters left: 3 (54 enodes) 2.200 * * [simplify]: iters left: 2 (63 enodes) 2.208 * * [simplify]: iters left: 1 (65 enodes) 2.215 * * [simplify]: Extracting #0: cost 1 inf + 0 2.215 * * [simplify]: Extracting #1: cost 7 inf + 0 2.215 * * [simplify]: Extracting #2: cost 14 inf + 1 2.216 * * [simplify]: Extracting #3: cost 14 inf + 126 2.216 * * [simplify]: Extracting #4: cost 13 inf + 332 2.216 * * [simplify]: Extracting #5: cost 14 inf + 455 2.216 * * [simplify]: Extracting #6: cost 10 inf + 660 2.217 * * [simplify]: Extracting #7: cost 1 inf + 2241 2.217 * * [simplify]: Extracting #8: cost 0 inf + 2443 2.218 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) 2.218 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) (/ 1 2)))) 2.218 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 2.218 * [simplify]: Simplifying (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 2.218 * * [simplify]: iters left: 6 (9 enodes) 2.220 * * [simplify]: iters left: 5 (31 enodes) 2.225 * * [simplify]: iters left: 4 (40 enodes) 2.231 * * [simplify]: iters left: 3 (54 enodes) 2.239 * * [simplify]: iters left: 2 (63 enodes) 2.247 * * [simplify]: iters left: 1 (65 enodes) 2.254 * * [simplify]: Extracting #0: cost 1 inf + 0 2.254 * * [simplify]: Extracting #1: cost 7 inf + 0 2.255 * * [simplify]: Extracting #2: cost 14 inf + 1 2.255 * * [simplify]: Extracting #3: cost 14 inf + 126 2.255 * * [simplify]: Extracting #4: cost 13 inf + 332 2.255 * * [simplify]: Extracting #5: cost 14 inf + 455 2.255 * * [simplify]: Extracting #6: cost 10 inf + 660 2.256 * * [simplify]: Extracting #7: cost 1 inf + 2241 2.256 * * [simplify]: Extracting #8: cost 0 inf + 2443 2.257 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) 2.257 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) (/ 1 2)))) 2.257 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 2.257 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 2.257 * * * * [progress]: [ 46 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 2.257 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 2.257 * [simplify]: Simplifying im 2.257 * * [simplify]: iters left: 0 (1 enodes) 2.257 * * [simplify]: Extracting #0: cost 1 inf + 0 2.257 * * [simplify]: Extracting #1: cost 0 inf + 1 2.257 * [simplify]: Simplified to im 2.257 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 2.257 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 2.258 * [simplify]: Simplifying re 2.258 * * [simplify]: iters left: 0 (1 enodes) 2.258 * * [simplify]: Extracting #0: cost 1 inf + 0 2.258 * * [simplify]: Extracting #1: cost 0 inf + 1 2.258 * [simplify]: Simplified to re 2.258 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re))))) 2.258 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 2.258 * [simplify]: Simplifying (* -1 re) 2.258 * * [simplify]: iters left: 2 (3 enodes) 2.260 * * [simplify]: iters left: 1 (11 enodes) 2.262 * * [simplify]: Extracting #0: cost 1 inf + 0 2.262 * * [simplify]: Extracting #1: cost 4 inf + 0 2.263 * * [simplify]: Extracting #2: cost 0 inf + 84 2.263 * [simplify]: Simplified to (- re) 2.263 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re))))) 2.263 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 2.263 * [simplify]: Simplifying (- im re) 2.263 * * [simplify]: iters left: 2 (3 enodes) 2.264 * * [simplify]: iters left: 1 (11 enodes) 2.265 * * [simplify]: Extracting #0: cost 1 inf + 0 2.265 * * [simplify]: Extracting #1: cost 5 inf + 0 2.265 * * [simplify]: Extracting #2: cost 3 inf + 43 2.265 * * [simplify]: Extracting #3: cost 0 inf + 168 2.265 * [simplify]: Simplified to (- im re) 2.265 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 2.265 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 2.265 * [simplify]: Simplifying 0 2.265 * * [simplify]: iters left: 0 (1 enodes) 2.266 * * [simplify]: Extracting #0: cost 1 inf + 0 2.266 * * [simplify]: Extracting #1: cost 0 inf + 1 2.266 * [simplify]: Simplified to 0 2.266 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.266 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 2.266 * [simplify]: Simplifying (* -2 re) 2.266 * * [simplify]: iters left: 2 (3 enodes) 2.267 * * [simplify]: iters left: 1 (10 enodes) 2.269 * * [simplify]: Extracting #0: cost 1 inf + 0 2.269 * * [simplify]: Extracting #1: cost 4 inf + 0 2.269 * * [simplify]: Extracting #2: cost 2 inf + 2 2.269 * * [simplify]: Extracting #3: cost 0 inf + 86 2.269 * [simplify]: Simplified to (* -2 re) 2.269 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 2.269 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 2.269 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 2.269 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.269 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 2.270 * [simplify]: Simplifying 0 2.270 * * [simplify]: iters left: 0 (1 enodes) 2.270 * * [simplify]: Extracting #0: cost 1 inf + 0 2.270 * * [simplify]: Extracting #1: cost 0 inf + 1 2.270 * [simplify]: Simplified to 0 2.270 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.270 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 2.271 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.271 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.271 * * * [progress]: adding candidates to table 2.903 * * [progress]: iteration 2 / 4 2.903 * * * [progress]: picking best candidate 2.915 * * * * [pick]: Picked # 2.915 * * * [progress]: localizing error 2.941 * * * [progress]: generating rewritten candidates 2.941 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 1 2 1) 2.947 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1 2) 2.983 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 3.023 * * * [progress]: generating series expansions 3.023 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 1 2 1) 3.024 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.024 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.024 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.024 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.024 * [taylor]: Taking taylor expansion of im in im 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.024 * [taylor]: Taking taylor expansion of re in im 3.024 * [backup-simplify]: Simplify re into re 3.024 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.024 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.024 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.024 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.025 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.025 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.025 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.025 * [taylor]: Taking taylor expansion of im in re 3.025 * [backup-simplify]: Simplify im into im 3.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.025 * [taylor]: Taking taylor expansion of re in re 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.026 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.026 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.026 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.026 * [backup-simplify]: Simplify (+ 0 0) into 0 3.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.026 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.026 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.026 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.026 * [taylor]: Taking taylor expansion of im in re 3.026 * [backup-simplify]: Simplify im into im 3.026 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.026 * [taylor]: Taking taylor expansion of re in re 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.027 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.027 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.027 * [taylor]: Taking taylor expansion of im in im 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [taylor]: Taking taylor expansion of 0 in im 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.028 * [backup-simplify]: Simplify (* 1 1) into 1 3.029 * [backup-simplify]: Simplify (+ 0 1) into 1 3.030 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.030 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.030 * [taylor]: Taking taylor expansion of 1/2 in im 3.030 * [backup-simplify]: Simplify 1/2 into 1/2 3.030 * [taylor]: Taking taylor expansion of im in im 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.033 * [taylor]: Taking taylor expansion of 0 in im 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.035 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.035 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.035 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.035 * [taylor]: Taking taylor expansion of re in im 3.035 * [backup-simplify]: Simplify re into re 3.035 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.035 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.035 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.035 * [taylor]: Taking taylor expansion of im in im 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify (* 1 1) into 1 3.036 * [backup-simplify]: Simplify (/ 1 1) into 1 3.036 * [backup-simplify]: Simplify (+ 0 1) into 1 3.037 * [backup-simplify]: Simplify (sqrt 1) into 1 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.040 * [taylor]: Taking taylor expansion of re in re 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (* 1 1) into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.041 * [taylor]: Taking taylor expansion of im in re 3.041 * [backup-simplify]: Simplify im into im 3.041 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.041 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.041 * [backup-simplify]: Simplify (+ 1 0) into 1 3.042 * [backup-simplify]: Simplify (sqrt 1) into 1 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.044 * [taylor]: Taking taylor expansion of re in re 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify (* 1 1) into 1 3.045 * [backup-simplify]: Simplify (/ 1 1) into 1 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.045 * [taylor]: Taking taylor expansion of im in re 3.045 * [backup-simplify]: Simplify im into im 3.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.046 * [backup-simplify]: Simplify (+ 1 0) into 1 3.046 * [backup-simplify]: Simplify (sqrt 1) into 1 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.049 * [taylor]: Taking taylor expansion of 1 in im 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of 0 in im 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.053 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.053 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.053 * [taylor]: Taking taylor expansion of 1/2 in im 3.053 * [backup-simplify]: Simplify 1/2 into 1/2 3.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.053 * [taylor]: Taking taylor expansion of im in im 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (* 1 1) into 1 3.054 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.059 * [taylor]: Taking taylor expansion of 0 in im 3.059 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.062 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.062 * [taylor]: Taking taylor expansion of re in im 3.062 * [backup-simplify]: Simplify re into re 3.062 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.063 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.063 * [taylor]: Taking taylor expansion of im in im 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.064 * [backup-simplify]: Simplify (/ 1 1) into 1 3.064 * [backup-simplify]: Simplify (+ 0 1) into 1 3.064 * [backup-simplify]: Simplify (sqrt 1) into 1 3.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.067 * [taylor]: Taking taylor expansion of re in re 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (* 1 1) into 1 3.068 * [backup-simplify]: Simplify (/ 1 1) into 1 3.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.068 * [taylor]: Taking taylor expansion of im in re 3.068 * [backup-simplify]: Simplify im into im 3.068 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.068 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.069 * [backup-simplify]: Simplify (+ 1 0) into 1 3.069 * [backup-simplify]: Simplify (sqrt 1) into 1 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.072 * [taylor]: Taking taylor expansion of re in re 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [backup-simplify]: Simplify (* 1 1) into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.073 * [taylor]: Taking taylor expansion of im in re 3.073 * [backup-simplify]: Simplify im into im 3.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.073 * [backup-simplify]: Simplify (+ 1 0) into 1 3.074 * [backup-simplify]: Simplify (sqrt 1) into 1 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.075 * [taylor]: Taking taylor expansion of 1 in im 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of 0 in im 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.077 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.077 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.077 * [taylor]: Taking taylor expansion of 1/2 in im 3.077 * [backup-simplify]: Simplify 1/2 into 1/2 3.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.077 * [taylor]: Taking taylor expansion of im in im 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (* 1 1) into 1 3.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.080 * [backup-simplify]: Simplify (+ 0 0) into 0 3.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.081 * [taylor]: Taking taylor expansion of 0 in im 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.082 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1 2) 3.082 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 3.083 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 3.083 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.083 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.083 * [taylor]: Taking taylor expansion of im in im 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.083 * [taylor]: Taking taylor expansion of re in im 3.083 * [backup-simplify]: Simplify re into re 3.083 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.083 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.083 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.083 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.083 * [taylor]: Taking taylor expansion of re in im 3.083 * [backup-simplify]: Simplify re into re 3.083 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.083 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.083 * [taylor]: Taking taylor expansion of im in re 3.083 * [backup-simplify]: Simplify im into im 3.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.083 * [taylor]: Taking taylor expansion of re in re 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.084 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.084 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.084 * [taylor]: Taking taylor expansion of re in re 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.084 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.084 * [taylor]: Taking taylor expansion of im in re 3.084 * [backup-simplify]: Simplify im into im 3.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.084 * [taylor]: Taking taylor expansion of re in re 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.084 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.084 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.085 * [taylor]: Taking taylor expansion of re in re 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (- 0) into 0 3.085 * [backup-simplify]: Simplify (+ im 0) into im 3.085 * [taylor]: Taking taylor expansion of im in im 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (- 1) into -1 3.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.086 * [taylor]: Taking taylor expansion of -1 in im 3.086 * [backup-simplify]: Simplify -1 into -1 3.086 * [backup-simplify]: Simplify -1 into -1 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.086 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (+ 0 1) into 1 3.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.087 * [backup-simplify]: Simplify (- 0) into 0 3.087 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.087 * [taylor]: Taking taylor expansion of 1/2 in im 3.087 * [backup-simplify]: Simplify 1/2 into 1/2 3.087 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.088 * [taylor]: Taking taylor expansion of im in im 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.090 * [backup-simplify]: Simplify (- 0) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [taylor]: Taking taylor expansion of 0 in im 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.092 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.092 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.092 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.092 * [taylor]: Taking taylor expansion of re in im 3.092 * [backup-simplify]: Simplify re into re 3.092 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.092 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.092 * [taylor]: Taking taylor expansion of im in im 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (* 1 1) into 1 3.093 * [backup-simplify]: Simplify (/ 1 1) into 1 3.093 * [backup-simplify]: Simplify (+ 0 1) into 1 3.093 * [backup-simplify]: Simplify (sqrt 1) into 1 3.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.095 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.095 * [taylor]: Taking taylor expansion of re in im 3.095 * [backup-simplify]: Simplify re into re 3.095 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.095 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.095 * [taylor]: Taking taylor expansion of re in re 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.096 * [taylor]: Taking taylor expansion of im in re 3.096 * [backup-simplify]: Simplify im into im 3.096 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.096 * [backup-simplify]: Simplify (+ 1 0) into 1 3.096 * [backup-simplify]: Simplify (sqrt 1) into 1 3.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (* 1 1) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.099 * [taylor]: Taking taylor expansion of im in re 3.099 * [backup-simplify]: Simplify im into im 3.099 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.099 * [backup-simplify]: Simplify (+ 1 0) into 1 3.099 * [backup-simplify]: Simplify (sqrt 1) into 1 3.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.101 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.101 * [taylor]: Taking taylor expansion of re in re 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (/ 1 1) into 1 3.102 * [backup-simplify]: Simplify (- 1) into -1 3.102 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.102 * [taylor]: Taking taylor expansion of 0 in im 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (- 0) into 0 3.103 * [backup-simplify]: Simplify (+ 0 0) into 0 3.103 * [taylor]: Taking taylor expansion of 0 in im 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.106 * [taylor]: Taking taylor expansion of 1/2 in im 3.106 * [backup-simplify]: Simplify 1/2 into 1/2 3.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.106 * [taylor]: Taking taylor expansion of im in im 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (* 1 1) into 1 3.107 * [backup-simplify]: Simplify (/ 1 1) into 1 3.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (- 0) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [taylor]: Taking taylor expansion of 0 in im 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.113 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.113 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.113 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.113 * [taylor]: Taking taylor expansion of re in im 3.113 * [backup-simplify]: Simplify re into re 3.113 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.113 * [taylor]: Taking taylor expansion of re in im 3.113 * [backup-simplify]: Simplify re into re 3.113 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.113 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.113 * [taylor]: Taking taylor expansion of im in im 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify (/ 1 1) into 1 3.114 * [backup-simplify]: Simplify (+ 0 1) into 1 3.114 * [backup-simplify]: Simplify (sqrt 1) into 1 3.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.116 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.116 * [taylor]: Taking taylor expansion of re in re 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.116 * [taylor]: Taking taylor expansion of re in re 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.117 * [taylor]: Taking taylor expansion of im in re 3.117 * [backup-simplify]: Simplify im into im 3.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.117 * [backup-simplify]: Simplify (+ 1 0) into 1 3.117 * [backup-simplify]: Simplify (sqrt 1) into 1 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.119 * [taylor]: Taking taylor expansion of re in re 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (/ 1 1) into 1 3.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.119 * [taylor]: Taking taylor expansion of re in re 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (* 1 1) into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.120 * [taylor]: Taking taylor expansion of im in re 3.120 * [backup-simplify]: Simplify im into im 3.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.120 * [backup-simplify]: Simplify (+ 1 0) into 1 3.120 * [backup-simplify]: Simplify (sqrt 1) into 1 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.122 * [backup-simplify]: Simplify (+ 1 1) into 2 3.122 * [taylor]: Taking taylor expansion of 2 in im 3.122 * [backup-simplify]: Simplify 2 into 2 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.123 * [taylor]: Taking taylor expansion of 0 in im 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 2 into 2 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.125 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.125 * [taylor]: Taking taylor expansion of 1/2 in im 3.125 * [backup-simplify]: Simplify 1/2 into 1/2 3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.125 * [taylor]: Taking taylor expansion of im in im 3.125 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (* 1 1) into 1 3.126 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [taylor]: Taking taylor expansion of 0 in im 3.130 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.136 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 3.136 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 3.136 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 3.136 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 3.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.136 * [taylor]: Taking taylor expansion of 2.0 in im 3.136 * [backup-simplify]: Simplify 2.0 into 2.0 3.137 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.137 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 3.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.137 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.137 * [taylor]: Taking taylor expansion of im in im 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.137 * [taylor]: Taking taylor expansion of re in im 3.137 * [backup-simplify]: Simplify re into re 3.137 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.137 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.137 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.137 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.138 * [taylor]: Taking taylor expansion of re in im 3.138 * [backup-simplify]: Simplify re into re 3.138 * [backup-simplify]: Simplify (- re) into (- re) 3.138 * [backup-simplify]: Simplify (+ re (- re)) into 0 3.138 * [backup-simplify]: Simplify (- 0) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (* 1 1) into 1 3.139 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.139 * [backup-simplify]: Simplify (+ 1 0) into 1 3.140 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.140 * [backup-simplify]: Simplify (- 0) into 0 3.140 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 3.140 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 3.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.141 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.141 * [backup-simplify]: Simplify (- 0) into 0 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 3.142 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 3.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.142 * [taylor]: Taking taylor expansion of 2.0 in re 3.142 * [backup-simplify]: Simplify 2.0 into 2.0 3.142 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.143 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 3.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.143 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.143 * [taylor]: Taking taylor expansion of im in re 3.143 * [backup-simplify]: Simplify im into im 3.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.143 * [taylor]: Taking taylor expansion of re in re 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.143 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.143 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.143 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.143 * [taylor]: Taking taylor expansion of re in re 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [backup-simplify]: Simplify (+ im 0) into im 3.144 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.144 * [backup-simplify]: Simplify (- 1) into -1 3.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.144 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 3.144 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 3.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.144 * [taylor]: Taking taylor expansion of 2.0 in re 3.144 * [backup-simplify]: Simplify 2.0 into 2.0 3.144 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.145 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 3.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.145 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.145 * [taylor]: Taking taylor expansion of im in re 3.145 * [backup-simplify]: Simplify im into im 3.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.145 * [taylor]: Taking taylor expansion of re in re 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.145 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.145 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.146 * [taylor]: Taking taylor expansion of re in re 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ im 0) into im 3.146 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.146 * [backup-simplify]: Simplify (- 1) into -1 3.146 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.146 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 3.147 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 3.147 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 3.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.147 * [taylor]: Taking taylor expansion of 2.0 in im 3.147 * [backup-simplify]: Simplify 2.0 into 2.0 3.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.148 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.148 * [taylor]: Taking taylor expansion of im in im 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (sqrt 0) into 0 3.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.150 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.151 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.152 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 3.152 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 3.152 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 3.152 * [taylor]: Taking taylor expansion of 1/2 in im 3.152 * [backup-simplify]: Simplify 1/2 into 1/2 3.152 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 3.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.152 * [taylor]: Taking taylor expansion of 2.0 in im 3.152 * [backup-simplify]: Simplify 2.0 into 2.0 3.152 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.153 * [taylor]: Taking taylor expansion of im in im 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ 1 1) into 1 3.153 * [backup-simplify]: Simplify (sqrt 0) into 0 3.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.159 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.160 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.160 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.163 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.164 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.165 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.167 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.169 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.170 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.173 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 3.173 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 3.173 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 3.173 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.173 * [taylor]: Taking taylor expansion of 2.0 in im 3.174 * [backup-simplify]: Simplify 2.0 into 2.0 3.174 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.174 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.174 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.174 * [taylor]: Taking taylor expansion of re in im 3.174 * [backup-simplify]: Simplify re into re 3.174 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.174 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.175 * [taylor]: Taking taylor expansion of im in im 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (* 1 1) into 1 3.175 * [backup-simplify]: Simplify (/ 1 1) into 1 3.175 * [backup-simplify]: Simplify (+ 0 1) into 1 3.176 * [backup-simplify]: Simplify (sqrt 1) into 1 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.177 * [taylor]: Taking taylor expansion of re in im 3.177 * [backup-simplify]: Simplify re into re 3.177 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.177 * [backup-simplify]: Simplify (+ 1 0) into 1 3.178 * [backup-simplify]: Simplify (sqrt 0) into 0 3.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.179 * [taylor]: Taking taylor expansion of 2.0 in re 3.179 * [backup-simplify]: Simplify 2.0 into 2.0 3.180 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.180 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.180 * [taylor]: Taking taylor expansion of re in re 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 1 into 1 3.181 * [backup-simplify]: Simplify (* 1 1) into 1 3.181 * [backup-simplify]: Simplify (/ 1 1) into 1 3.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.181 * [taylor]: Taking taylor expansion of im in re 3.181 * [backup-simplify]: Simplify im into im 3.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.181 * [backup-simplify]: Simplify (+ 1 0) into 1 3.182 * [backup-simplify]: Simplify (sqrt 1) into 1 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.183 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.183 * [taylor]: Taking taylor expansion of re in re 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [backup-simplify]: Simplify (- 1) into -1 3.184 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (- 0) into 0 3.185 * [backup-simplify]: Simplify (+ 0 0) into 0 3.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.187 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify (- 0) into 0 3.188 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.188 * [backup-simplify]: Simplify (sqrt 0) into 0 3.188 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.188 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.188 * [taylor]: Taking taylor expansion of 2.0 in re 3.188 * [backup-simplify]: Simplify 2.0 into 2.0 3.189 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.189 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.189 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.189 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.189 * [taylor]: Taking taylor expansion of re in re 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (* 1 1) into 1 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.190 * [taylor]: Taking taylor expansion of im in re 3.190 * [backup-simplify]: Simplify im into im 3.190 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.190 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.190 * [backup-simplify]: Simplify (+ 1 0) into 1 3.190 * [backup-simplify]: Simplify (sqrt 1) into 1 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ 0 0) into 0 3.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.192 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.192 * [taylor]: Taking taylor expansion of re in re 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.193 * [backup-simplify]: Simplify (- 1) into -1 3.193 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (- 0) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (- 0) into 0 3.197 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.197 * [backup-simplify]: Simplify (sqrt 0) into 0 3.197 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.198 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.198 * [taylor]: Taking taylor expansion of 0 in im 3.198 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 3.198 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.198 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.198 * [taylor]: Taking taylor expansion of +nan.0 in im 3.198 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.198 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.198 * [taylor]: Taking taylor expansion of 2.0 in im 3.198 * [backup-simplify]: Simplify 2.0 into 2.0 3.199 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.199 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.199 * [taylor]: Taking taylor expansion of im in im 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (* 1 1) into 1 3.200 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.202 * [backup-simplify]: Simplify (- 0) into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.204 * [backup-simplify]: Simplify (- 0) into 0 3.205 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 3.206 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.206 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 3.206 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.207 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.207 * [taylor]: Taking taylor expansion of +nan.0 in im 3.207 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.207 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.207 * [taylor]: Taking taylor expansion of 2.0 in im 3.207 * [backup-simplify]: Simplify 2.0 into 2.0 3.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.207 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.207 * [taylor]: Taking taylor expansion of im in im 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify 1 into 1 3.208 * [backup-simplify]: Simplify (* 1 1) into 1 3.208 * [backup-simplify]: Simplify (* 1 1) into 1 3.208 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.216 * [backup-simplify]: Simplify (- 0) into 0 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.218 * [backup-simplify]: Simplify (- 0) into 0 3.218 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- 0) into 0 3.229 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.230 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 3.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.233 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 3.233 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.233 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.233 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.233 * [taylor]: Taking taylor expansion of +nan.0 in im 3.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.233 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.233 * [taylor]: Taking taylor expansion of 2.0 in im 3.233 * [backup-simplify]: Simplify 2.0 into 2.0 3.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.234 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.234 * [taylor]: Taking taylor expansion of im in im 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.236 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.236 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.236 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.236 * [taylor]: Taking taylor expansion of +nan.0 in im 3.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.236 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.236 * [taylor]: Taking taylor expansion of 2.0 in im 3.236 * [backup-simplify]: Simplify 2.0 into 2.0 3.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.237 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.237 * [taylor]: Taking taylor expansion of im in im 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.238 * [backup-simplify]: Simplify (* 1 1) into 1 3.238 * [backup-simplify]: Simplify (* 1 1) into 1 3.238 * [backup-simplify]: Simplify (* 1 1) into 1 3.239 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.254 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 3.279 * [backup-simplify]: Simplify (- 0) into 0 3.279 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (- 0) into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 3.280 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 3.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 3.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.280 * [taylor]: Taking taylor expansion of 2.0 in im 3.280 * [backup-simplify]: Simplify 2.0 into 2.0 3.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.280 * [taylor]: Taking taylor expansion of re in im 3.280 * [backup-simplify]: Simplify re into re 3.280 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.281 * [taylor]: Taking taylor expansion of re in im 3.281 * [backup-simplify]: Simplify re into re 3.281 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.281 * [taylor]: Taking taylor expansion of im in im 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [backup-simplify]: Simplify (* 1 1) into 1 3.281 * [backup-simplify]: Simplify (/ 1 1) into 1 3.281 * [backup-simplify]: Simplify (+ 0 1) into 1 3.282 * [backup-simplify]: Simplify (sqrt 1) into 1 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 1) into 1 3.284 * [backup-simplify]: Simplify (sqrt 0) into 0 3.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.285 * [taylor]: Taking taylor expansion of 2.0 in re 3.285 * [backup-simplify]: Simplify 2.0 into 2.0 3.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.285 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.285 * [taylor]: Taking taylor expansion of re in re 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.286 * [taylor]: Taking taylor expansion of re in re 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.286 * [taylor]: Taking taylor expansion of im in re 3.286 * [backup-simplify]: Simplify im into im 3.286 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.287 * [backup-simplify]: Simplify (+ 1 0) into 1 3.287 * [backup-simplify]: Simplify (sqrt 1) into 1 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.289 * [backup-simplify]: Simplify (+ 1 1) into 2 3.289 * [backup-simplify]: Simplify (sqrt 0) into 0 3.290 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.290 * [taylor]: Taking taylor expansion of 2.0 in re 3.290 * [backup-simplify]: Simplify 2.0 into 2.0 3.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.290 * [taylor]: Taking taylor expansion of re in re 3.290 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (/ 1 1) into 1 3.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.291 * [taylor]: Taking taylor expansion of re in re 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (* 1 1) into 1 3.291 * [backup-simplify]: Simplify (/ 1 1) into 1 3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.291 * [taylor]: Taking taylor expansion of im in re 3.291 * [backup-simplify]: Simplify im into im 3.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.292 * [backup-simplify]: Simplify (+ 1 0) into 1 3.292 * [backup-simplify]: Simplify (sqrt 1) into 1 3.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.294 * [backup-simplify]: Simplify (+ 1 1) into 2 3.294 * [backup-simplify]: Simplify (sqrt 0) into 0 3.295 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.295 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.295 * [taylor]: Taking taylor expansion of 0 in im 3.295 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.296 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.296 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.296 * [taylor]: Taking taylor expansion of +nan.0 in im 3.296 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.297 * [taylor]: Taking taylor expansion of 2.0 in im 3.297 * [backup-simplify]: Simplify 2.0 into 2.0 3.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.300 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.302 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.302 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.302 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.302 * [taylor]: Taking taylor expansion of +nan.0 in im 3.302 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.302 * [taylor]: Taking taylor expansion of 2.0 in im 3.302 * [backup-simplify]: Simplify 2.0 into 2.0 3.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.303 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.304 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.305 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.308 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.308 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.309 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 3.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.311 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 3.311 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.311 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.311 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.311 * [taylor]: Taking taylor expansion of +nan.0 in im 3.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.311 * [taylor]: Taking taylor expansion of 2.0 in im 3.311 * [backup-simplify]: Simplify 2.0 into 2.0 3.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.312 * [taylor]: Taking taylor expansion of +nan.0 in im 3.312 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.312 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.312 * [taylor]: Taking taylor expansion of 2.0 in im 3.312 * [backup-simplify]: Simplify 2.0 into 2.0 3.312 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.313 * [taylor]: Taking taylor expansion of im in im 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (* 1 1) into 1 3.313 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.315 * [backup-simplify]: Simplify (- 0) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (- 0) into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.317 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.318 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.318 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.319 * [backup-simplify]: Simplify (- 0) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 3.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 3.324 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.324 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.324 * [taylor]: Taking taylor expansion of +nan.0 in im 3.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.324 * [taylor]: Taking taylor expansion of 2.0 in im 3.324 * [backup-simplify]: Simplify 2.0 into 2.0 3.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.325 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.325 * [taylor]: Taking taylor expansion of +nan.0 in im 3.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.325 * [taylor]: Taking taylor expansion of 2.0 in im 3.325 * [backup-simplify]: Simplify 2.0 into 2.0 3.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.326 * [taylor]: Taking taylor expansion of im in im 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.338 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.339 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.342 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.342 * * * [progress]: simplifying candidates 3.342 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 3.342 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 3.342 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 3.342 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 3.342 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 3.342 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 3.342 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 3.342 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 3.342 * * [simplify]: iters left: 6 (8 enodes) 3.346 * * [simplify]: iters left: 5 (26 enodes) 3.352 * * [simplify]: Extracting #0: cost 1 inf + 0 3.352 * * [simplify]: Extracting #1: cost 4 inf + 0 3.353 * * [simplify]: Extracting #2: cost 7 inf + 0 3.353 * * [simplify]: Extracting #3: cost 10 inf + 0 3.353 * * [simplify]: Extracting #4: cost 14 inf + 0 3.353 * * [simplify]: Extracting #5: cost 10 inf + 84 3.353 * * [simplify]: Extracting #6: cost 8 inf + 166 3.353 * * [simplify]: Extracting #7: cost 4 inf + 854 3.354 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.354 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.355 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 3.355 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))) 3.355 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 3.355 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.355 * * [simplify]: iters left: 6 (7 enodes) 3.358 * * [simplify]: iters left: 5 (22 enodes) 3.364 * * [simplify]: Extracting #0: cost 1 inf + 0 3.364 * * [simplify]: Extracting #1: cost 3 inf + 0 3.364 * * [simplify]: Extracting #2: cost 5 inf + 0 3.365 * * [simplify]: Extracting #3: cost 8 inf + 0 3.365 * * [simplify]: Extracting #4: cost 12 inf + 0 3.365 * * [simplify]: Extracting #5: cost 10 inf + 2 3.365 * * [simplify]: Extracting #6: cost 1 inf + 936 3.365 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.366 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.366 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))) 3.366 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 3.366 * [simplify]: Simplifying (sqrt 1) 3.366 * * [simplify]: iters left: 1 (2 enodes) 3.369 * * [simplify]: Extracting #0: cost 1 inf + 0 3.369 * * [simplify]: Extracting #1: cost 0 inf + 1 3.369 * [simplify]: Simplified to 1 3.369 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re)))))) 3.370 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 3.370 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 3.370 * * [simplify]: iters left: 6 (9 enodes) 3.375 * * [simplify]: iters left: 5 (45 enodes) 3.395 * * [simplify]: iters left: 4 (100 enodes) 3.438 * * [simplify]: iters left: 3 (201 enodes) 3.488 * * [simplify]: iters left: 2 (406 enodes) 3.586 * * [simplify]: Extracting #0: cost 1 inf + 0 3.586 * * [simplify]: Extracting #1: cost 3 inf + 0 3.586 * * [simplify]: Extracting #2: cost 6 inf + 0 3.586 * * [simplify]: Extracting #3: cost 62 inf + 0 3.587 * * [simplify]: Extracting #4: cost 166 inf + 460 3.588 * * [simplify]: Extracting #5: cost 131 inf + 12951 3.592 * * [simplify]: Extracting #6: cost 49 inf + 45746 3.600 * * [simplify]: Extracting #7: cost 1 inf + 66256 3.605 * * [simplify]: Extracting #8: cost 0 inf + 65919 3.610 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 3.610 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))) 3.611 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 3.611 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.611 * * [simplify]: iters left: 6 (8 enodes) 3.613 * * [simplify]: iters left: 5 (37 enodes) 3.619 * * [simplify]: iters left: 4 (67 enodes) 3.631 * * [simplify]: iters left: 3 (123 enodes) 3.658 * * [simplify]: iters left: 2 (278 enodes) 3.770 * * [simplify]: Extracting #0: cost 1 inf + 0 3.770 * * [simplify]: Extracting #1: cost 3 inf + 0 3.771 * * [simplify]: Extracting #2: cost 50 inf + 0 3.771 * * [simplify]: Extracting #3: cost 150 inf + 0 3.773 * * [simplify]: Extracting #4: cost 194 inf + 1180 3.778 * * [simplify]: Extracting #5: cost 123 inf + 12421 3.789 * * [simplify]: Extracting #6: cost 12 inf + 33804 3.804 * * [simplify]: Extracting #7: cost 0 inf + 36129 3.816 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.817 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))) 3.817 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 3.817 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.817 * * [simplify]: iters left: 4 (5 enodes) 3.818 * * [simplify]: iters left: 3 (16 enodes) 3.821 * * [simplify]: Extracting #0: cost 1 inf + 0 3.821 * * [simplify]: Extracting #1: cost 4 inf + 0 3.821 * * [simplify]: Extracting #2: cost 8 inf + 0 3.821 * * [simplify]: Extracting #3: cost 4 inf + 84 3.821 * * [simplify]: Extracting #4: cost 0 inf + 410 3.821 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.821 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))) 3.821 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 3.821 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 3.821 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.821 * * [simplify]: iters left: 5 (6 enodes) 3.822 * * [simplify]: iters left: 4 (19 enodes) 3.825 * * [simplify]: Extracting #0: cost 1 inf + 0 3.825 * * [simplify]: Extracting #1: cost 3 inf + 0 3.825 * * [simplify]: Extracting #2: cost 6 inf + 0 3.825 * * [simplify]: Extracting #3: cost 10 inf + 0 3.825 * * [simplify]: Extracting #4: cost 6 inf + 84 3.825 * * [simplify]: Extracting #5: cost 0 inf + 734 3.825 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.825 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re)))))) 3.826 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 3.826 * * * * [progress]: [ 16 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))))> 3.826 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 3.826 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 3.826 * * [simplify]: iters left: 6 (9 enodes) 3.828 * * [simplify]: iters left: 5 (30 enodes) 3.832 * * [simplify]: iters left: 4 (34 enodes) 3.837 * * [simplify]: iters left: 3 (39 enodes) 3.844 * * [simplify]: iters left: 2 (44 enodes) 3.850 * * [simplify]: iters left: 1 (52 enodes) 3.857 * * [simplify]: Extracting #0: cost 1 inf + 0 3.857 * * [simplify]: Extracting #1: cost 9 inf + 0 3.857 * * [simplify]: Extracting #2: cost 15 inf + 1 3.857 * * [simplify]: Extracting #3: cost 17 inf + 2 3.857 * * [simplify]: Extracting #4: cost 18 inf + 114 3.857 * * [simplify]: Extracting #5: cost 15 inf + 601 3.858 * * [simplify]: Extracting #6: cost 7 inf + 1413 3.858 * * [simplify]: Extracting #7: cost 0 inf + 3047 3.859 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 3.859 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re)))))))) 3.859 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 3.859 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 3.859 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.860 * * [simplify]: iters left: 6 (9 enodes) 3.861 * * [simplify]: iters left: 5 (29 enodes) 3.865 * * [simplify]: Extracting #0: cost 1 inf + 0 3.865 * * [simplify]: Extracting #1: cost 4 inf + 0 3.865 * * [simplify]: Extracting #2: cost 8 inf + 0 3.865 * * [simplify]: Extracting #3: cost 9 inf + 1 3.865 * * [simplify]: Extracting #4: cost 11 inf + 42 3.865 * * [simplify]: Extracting #5: cost 12 inf + 124 3.865 * * [simplify]: Extracting #6: cost 8 inf + 248 3.865 * * [simplify]: Extracting #7: cost 5 inf + 654 3.865 * * [simplify]: Extracting #8: cost 2 inf + 1300 3.866 * * [simplify]: Extracting #9: cost 0 inf + 1784 3.866 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 3.866 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))) 3.866 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.866 * * [simplify]: iters left: 6 (9 enodes) 3.868 * * [simplify]: iters left: 5 (30 enodes) 3.872 * * [simplify]: iters left: 4 (33 enodes) 3.877 * * [simplify]: Extracting #0: cost 1 inf + 0 3.877 * * [simplify]: Extracting #1: cost 5 inf + 0 3.877 * * [simplify]: Extracting #2: cost 10 inf + 0 3.877 * * [simplify]: Extracting #3: cost 11 inf + 1 3.877 * * [simplify]: Extracting #4: cost 10 inf + 245 3.877 * * [simplify]: Extracting #5: cost 12 inf + 286 3.877 * * [simplify]: Extracting #6: cost 8 inf + 410 3.877 * * [simplify]: Extracting #7: cost 6 inf + 694 3.878 * * [simplify]: Extracting #8: cost 1 inf + 1744 3.878 * * [simplify]: Extracting #9: cost 0 inf + 1946 3.878 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.878 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))) 3.878 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 3.879 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.879 * * [simplify]: iters left: 6 (9 enodes) 3.881 * * [simplify]: iters left: 5 (29 enodes) 3.884 * * [simplify]: Extracting #0: cost 1 inf + 0 3.884 * * [simplify]: Extracting #1: cost 4 inf + 0 3.884 * * [simplify]: Extracting #2: cost 8 inf + 0 3.884 * * [simplify]: Extracting #3: cost 9 inf + 1 3.884 * * [simplify]: Extracting #4: cost 11 inf + 42 3.884 * * [simplify]: Extracting #5: cost 12 inf + 124 3.885 * * [simplify]: Extracting #6: cost 8 inf + 248 3.885 * * [simplify]: Extracting #7: cost 5 inf + 654 3.885 * * [simplify]: Extracting #8: cost 2 inf + 1300 3.885 * * [simplify]: Extracting #9: cost 0 inf + 1784 3.886 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 3.886 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))) 3.886 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.886 * * [simplify]: iters left: 6 (9 enodes) 3.888 * * [simplify]: iters left: 5 (30 enodes) 3.891 * * [simplify]: iters left: 4 (33 enodes) 3.896 * * [simplify]: Extracting #0: cost 1 inf + 0 3.896 * * [simplify]: Extracting #1: cost 5 inf + 0 3.896 * * [simplify]: Extracting #2: cost 10 inf + 0 3.896 * * [simplify]: Extracting #3: cost 11 inf + 1 3.896 * * [simplify]: Extracting #4: cost 10 inf + 245 3.896 * * [simplify]: Extracting #5: cost 12 inf + 286 3.896 * * [simplify]: Extracting #6: cost 8 inf + 410 3.896 * * [simplify]: Extracting #7: cost 6 inf + 694 3.897 * * [simplify]: Extracting #8: cost 1 inf + 1744 3.897 * * [simplify]: Extracting #9: cost 0 inf + 1946 3.897 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.897 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))) 3.897 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 3.898 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 3.898 * * [simplify]: iters left: 6 (7 enodes) 3.900 * * [simplify]: iters left: 5 (24 enodes) 3.903 * * [simplify]: iters left: 4 (27 enodes) 3.906 * * [simplify]: Extracting #0: cost 1 inf + 0 3.906 * * [simplify]: Extracting #1: cost 5 inf + 0 3.906 * * [simplify]: Extracting #2: cost 7 inf + 1 3.907 * * [simplify]: Extracting #3: cost 8 inf + 83 3.907 * * [simplify]: Extracting #4: cost 10 inf + 124 3.907 * * [simplify]: Extracting #5: cost 6 inf + 248 3.907 * * [simplify]: Extracting #6: cost 3 inf + 654 3.907 * * [simplify]: Extracting #7: cost 1 inf + 1018 3.907 * * [simplify]: Extracting #8: cost 0 inf + 1220 3.908 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 3.908 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re))))))) 3.908 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 3.908 * * * * [progress]: [ 32 / 55 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re))))))))> 3.908 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 3.908 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 3.908 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 3.908 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 3.908 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 3.908 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 3.908 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 3.908 * [simplify]: Simplifying (sqrt 2.0) 3.908 * * [simplify]: iters left: 1 (2 enodes) 3.909 * * [simplify]: Extracting #0: cost 1 inf + 0 3.909 * * [simplify]: Extracting #1: cost 3 inf + 0 3.909 * * [simplify]: Extracting #2: cost 2 inf + 1 3.909 * * [simplify]: Extracting #3: cost 0 inf + 83 3.909 * [simplify]: Simplified to (sqrt 2.0) 3.910 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 3.910 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 3.910 * [simplify]: Simplifying (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 3.910 * * [simplify]: iters left: 6 (13 enodes) 3.916 * * [simplify]: iters left: 5 (55 enodes) 3.929 * * [simplify]: iters left: 4 (99 enodes) 3.953 * * [simplify]: iters left: 3 (233 enodes) 4.016 * * [simplify]: Extracting #0: cost 1 inf + 0 4.017 * * [simplify]: Extracting #1: cost 3 inf + 0 4.017 * * [simplify]: Extracting #2: cost 17 inf + 0 4.017 * * [simplify]: Extracting #3: cost 87 inf + 1 4.017 * * [simplify]: Extracting #4: cost 143 inf + 43 4.018 * * [simplify]: Extracting #5: cost 126 inf + 3453 4.021 * * [simplify]: Extracting #6: cost 53 inf + 22391 4.028 * * [simplify]: Extracting #7: cost 16 inf + 39442 4.039 * * [simplify]: Extracting #8: cost 0 inf + 49378 4.050 * [simplify]: Simplified to (sqrt (* 2.0 (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 4.050 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))) 4.051 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 4.051 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 4.051 * * [simplify]: iters left: 6 (11 enodes) 4.057 * * [simplify]: iters left: 5 (38 enodes) 4.069 * * [simplify]: iters left: 4 (70 enodes) 4.097 * * [simplify]: iters left: 3 (163 enodes) 4.172 * * [simplify]: iters left: 2 (400 enodes) 4.417 * * [simplify]: Extracting #0: cost 1 inf + 0 4.417 * * [simplify]: Extracting #1: cost 3 inf + 0 4.418 * * [simplify]: Extracting #2: cost 60 inf + 0 4.419 * * [simplify]: Extracting #3: cost 168 inf + 44 4.420 * * [simplify]: Extracting #4: cost 209 inf + 1112 4.426 * * [simplify]: Extracting #5: cost 129 inf + 16179 4.439 * * [simplify]: Extracting #6: cost 16 inf + 47708 4.455 * * [simplify]: Extracting #7: cost 0 inf + 52863 4.468 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 4.468 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 4.468 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 4.468 * [simplify]: Simplifying (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 4.468 * * [simplify]: iters left: 6 (9 enodes) 4.471 * * [simplify]: iters left: 5 (31 enodes) 4.475 * * [simplify]: iters left: 4 (40 enodes) 4.482 * * [simplify]: iters left: 3 (54 enodes) 4.490 * * [simplify]: iters left: 2 (63 enodes) 4.503 * * [simplify]: iters left: 1 (65 enodes) 4.512 * * [simplify]: Extracting #0: cost 1 inf + 0 4.512 * * [simplify]: Extracting #1: cost 7 inf + 0 4.512 * * [simplify]: Extracting #2: cost 14 inf + 1 4.512 * * [simplify]: Extracting #3: cost 14 inf + 126 4.512 * * [simplify]: Extracting #4: cost 13 inf + 332 4.512 * * [simplify]: Extracting #5: cost 14 inf + 455 4.512 * * [simplify]: Extracting #6: cost 10 inf + 660 4.513 * * [simplify]: Extracting #7: cost 1 inf + 2241 4.513 * * [simplify]: Extracting #8: cost 0 inf + 2443 4.514 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) 4.514 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* 1 (pow (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) (/ 1 2))))) 4.514 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 4.514 * [simplify]: Simplifying (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 4.514 * * [simplify]: iters left: 6 (9 enodes) 4.517 * * [simplify]: iters left: 5 (31 enodes) 4.521 * * [simplify]: iters left: 4 (40 enodes) 4.527 * * [simplify]: iters left: 3 (54 enodes) 4.534 * * [simplify]: iters left: 2 (63 enodes) 4.544 * * [simplify]: iters left: 1 (65 enodes) 4.551 * * [simplify]: Extracting #0: cost 1 inf + 0 4.552 * * [simplify]: Extracting #1: cost 7 inf + 0 4.552 * * [simplify]: Extracting #2: cost 14 inf + 1 4.552 * * [simplify]: Extracting #3: cost 14 inf + 126 4.552 * * [simplify]: Extracting #4: cost 13 inf + 332 4.552 * * [simplify]: Extracting #5: cost 14 inf + 455 4.552 * * [simplify]: Extracting #6: cost 10 inf + 660 4.553 * * [simplify]: Extracting #7: cost 1 inf + 2241 4.553 * * [simplify]: Extracting #8: cost 0 inf + 2443 4.554 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) 4.554 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* 1 (pow (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) (/ 1 2))))) 4.554 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 4.554 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 4.554 * * * * [progress]: [ 46 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))))> 4.554 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 4.554 * [simplify]: Simplifying im 4.554 * * [simplify]: iters left: 0 (1 enodes) 4.554 * * [simplify]: Extracting #0: cost 1 inf + 0 4.554 * * [simplify]: Extracting #1: cost 0 inf + 1 4.554 * [simplify]: Simplified to im 4.555 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- im re)))))) 4.555 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 4.555 * [simplify]: Simplifying re 4.555 * * [simplify]: iters left: 0 (1 enodes) 4.555 * * [simplify]: Extracting #0: cost 1 inf + 0 4.555 * * [simplify]: Extracting #1: cost 0 inf + 1 4.555 * [simplify]: Simplified to re 4.555 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- re re)))))) 4.555 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 4.555 * [simplify]: Simplifying (* -1 re) 4.555 * * [simplify]: iters left: 2 (3 enodes) 4.556 * * [simplify]: iters left: 1 (11 enodes) 4.558 * * [simplify]: Extracting #0: cost 1 inf + 0 4.558 * * [simplify]: Extracting #1: cost 4 inf + 0 4.558 * * [simplify]: Extracting #2: cost 0 inf + 84 4.558 * [simplify]: Simplified to (- re) 4.558 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (- re) re)))))) 4.558 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 4.558 * [simplify]: Simplifying (- im re) 4.558 * * [simplify]: iters left: 2 (3 enodes) 4.559 * * [simplify]: iters left: 1 (11 enodes) 4.560 * * [simplify]: Extracting #0: cost 1 inf + 0 4.560 * * [simplify]: Extracting #1: cost 5 inf + 0 4.560 * * [simplify]: Extracting #2: cost 3 inf + 43 4.561 * * [simplify]: Extracting #3: cost 0 inf + 168 4.561 * [simplify]: Simplified to (- im re) 4.561 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- im re)))))) 4.561 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 4.561 * [simplify]: Simplifying 0 4.561 * * [simplify]: iters left: 0 (1 enodes) 4.562 * * [simplify]: Extracting #0: cost 1 inf + 0 4.562 * * [simplify]: Extracting #1: cost 0 inf + 1 4.562 * [simplify]: Simplified to 0 4.562 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 0))))) 4.562 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 4.562 * [simplify]: Simplifying (* -2 re) 4.562 * * [simplify]: iters left: 2 (3 enodes) 4.563 * * [simplify]: iters left: 1 (10 enodes) 4.564 * * [simplify]: Extracting #0: cost 1 inf + 0 4.564 * * [simplify]: Extracting #1: cost 4 inf + 0 4.565 * * [simplify]: Extracting #2: cost 2 inf + 2 4.565 * * [simplify]: Extracting #3: cost 0 inf + 86 4.565 * [simplify]: Simplified to (* -2 re) 4.565 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (* -2 re)))))) 4.565 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 4.565 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 4.565 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 +nan.0))) 4.565 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 4.565 * [simplify]: Simplifying 0 4.565 * * [simplify]: iters left: 0 (1 enodes) 4.566 * * [simplify]: Extracting #0: cost 1 inf + 0 4.566 * * [simplify]: Extracting #1: cost 0 inf + 1 4.566 * [simplify]: Simplified to 0 4.566 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 0))) 4.566 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 4.566 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 4.566 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 +nan.0))) 4.566 * * * [progress]: adding candidates to table 5.480 * * [progress]: iteration 3 / 4 5.480 * * * [progress]: picking best candidate 5.490 * * * * [pick]: Picked # 5.490 * * * [progress]: localizing error 5.542 * * * [progress]: generating rewritten candidates 5.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 5.553 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 5.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 5.688 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1) 5.724 * * * [progress]: generating series expansions 5.724 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 5.724 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.724 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.724 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.725 * [taylor]: Taking taylor expansion of im in im 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.725 * [taylor]: Taking taylor expansion of re in im 5.725 * [backup-simplify]: Simplify re into re 5.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.725 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.725 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.725 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.725 * [backup-simplify]: Simplify (+ 0 0) into 0 5.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.725 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.725 * [taylor]: Taking taylor expansion of im in re 5.725 * [backup-simplify]: Simplify im into im 5.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.725 * [taylor]: Taking taylor expansion of re in re 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.726 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.726 * [backup-simplify]: Simplify (+ 0 0) into 0 5.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.726 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.726 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.726 * [taylor]: Taking taylor expansion of im in re 5.726 * [backup-simplify]: Simplify im into im 5.726 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.726 * [taylor]: Taking taylor expansion of re in re 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.726 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.728 * [backup-simplify]: Simplify (+ 0 0) into 0 5.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.728 * [taylor]: Taking taylor expansion of im in im 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [backup-simplify]: Simplify 0 into 0 5.729 * [taylor]: Taking taylor expansion of 0 in im 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.729 * [backup-simplify]: Simplify (* 1 1) into 1 5.729 * [backup-simplify]: Simplify (+ 0 1) into 1 5.730 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.730 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.730 * [taylor]: Taking taylor expansion of 1/2 in im 5.730 * [backup-simplify]: Simplify 1/2 into 1/2 5.730 * [taylor]: Taking taylor expansion of im in im 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.732 * [backup-simplify]: Simplify (+ 0 0) into 0 5.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.732 * [taylor]: Taking taylor expansion of 0 in im 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.733 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.733 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.733 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.733 * [taylor]: Taking taylor expansion of re in im 5.733 * [backup-simplify]: Simplify re into re 5.733 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.733 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.733 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.733 * [taylor]: Taking taylor expansion of im in im 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (* 1 1) into 1 5.734 * [backup-simplify]: Simplify (/ 1 1) into 1 5.734 * [backup-simplify]: Simplify (+ 0 1) into 1 5.734 * [backup-simplify]: Simplify (sqrt 1) into 1 5.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify (+ 0 0) into 0 5.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.736 * [taylor]: Taking taylor expansion of re in re 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 1 into 1 5.736 * [backup-simplify]: Simplify (* 1 1) into 1 5.736 * [backup-simplify]: Simplify (/ 1 1) into 1 5.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.736 * [taylor]: Taking taylor expansion of im in re 5.736 * [backup-simplify]: Simplify im into im 5.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.737 * [backup-simplify]: Simplify (+ 1 0) into 1 5.737 * [backup-simplify]: Simplify (sqrt 1) into 1 5.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (+ 0 0) into 0 5.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.738 * [taylor]: Taking taylor expansion of re in re 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 1 into 1 5.739 * [backup-simplify]: Simplify (* 1 1) into 1 5.739 * [backup-simplify]: Simplify (/ 1 1) into 1 5.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.739 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.739 * [taylor]: Taking taylor expansion of im in re 5.739 * [backup-simplify]: Simplify im into im 5.739 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.739 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.739 * [backup-simplify]: Simplify (+ 1 0) into 1 5.740 * [backup-simplify]: Simplify (sqrt 1) into 1 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.741 * [backup-simplify]: Simplify (+ 0 0) into 0 5.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.741 * [taylor]: Taking taylor expansion of 1 in im 5.741 * [backup-simplify]: Simplify 1 into 1 5.741 * [taylor]: Taking taylor expansion of 0 in im 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 1 into 1 5.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.742 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.743 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.743 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.743 * [taylor]: Taking taylor expansion of 1/2 in im 5.743 * [backup-simplify]: Simplify 1/2 into 1/2 5.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.743 * [taylor]: Taking taylor expansion of im in im 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.744 * [backup-simplify]: Simplify (* 1 1) into 1 5.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.746 * [backup-simplify]: Simplify (+ 0 0) into 0 5.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.747 * [taylor]: Taking taylor expansion of 0 in im 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.748 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.748 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.748 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.748 * [taylor]: Taking taylor expansion of re in im 5.748 * [backup-simplify]: Simplify re into re 5.748 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.748 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.748 * [taylor]: Taking taylor expansion of im in im 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (* 1 1) into 1 5.749 * [backup-simplify]: Simplify (/ 1 1) into 1 5.749 * [backup-simplify]: Simplify (+ 0 1) into 1 5.749 * [backup-simplify]: Simplify (sqrt 1) into 1 5.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.750 * [backup-simplify]: Simplify (+ 0 0) into 0 5.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.751 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.751 * [taylor]: Taking taylor expansion of re in re 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [backup-simplify]: Simplify (* 1 1) into 1 5.751 * [backup-simplify]: Simplify (/ 1 1) into 1 5.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.751 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.751 * [taylor]: Taking taylor expansion of im in re 5.752 * [backup-simplify]: Simplify im into im 5.752 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.752 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.752 * [backup-simplify]: Simplify (+ 1 0) into 1 5.752 * [backup-simplify]: Simplify (sqrt 1) into 1 5.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.753 * [backup-simplify]: Simplify (+ 0 0) into 0 5.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.754 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.754 * [taylor]: Taking taylor expansion of re in re 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (* 1 1) into 1 5.754 * [backup-simplify]: Simplify (/ 1 1) into 1 5.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.754 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.754 * [taylor]: Taking taylor expansion of im in re 5.754 * [backup-simplify]: Simplify im into im 5.754 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.755 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.755 * [backup-simplify]: Simplify (+ 1 0) into 1 5.755 * [backup-simplify]: Simplify (sqrt 1) into 1 5.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.757 * [backup-simplify]: Simplify (+ 0 0) into 0 5.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.758 * [taylor]: Taking taylor expansion of 1 in im 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [taylor]: Taking taylor expansion of 0 in im 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.760 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.761 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.761 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.762 * [taylor]: Taking taylor expansion of 1/2 in im 5.762 * [backup-simplify]: Simplify 1/2 into 1/2 5.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.762 * [taylor]: Taking taylor expansion of im in im 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.767 * [backup-simplify]: Simplify (+ 0 0) into 0 5.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.767 * [taylor]: Taking taylor expansion of 0 in im 5.768 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.770 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 5.770 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.770 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.770 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.770 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.770 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.770 * [taylor]: Taking taylor expansion of im in im 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify 1 into 1 5.770 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.770 * [taylor]: Taking taylor expansion of re in im 5.770 * [backup-simplify]: Simplify re into re 5.770 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.771 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.771 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.771 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.771 * [backup-simplify]: Simplify (+ 0 0) into 0 5.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.771 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.772 * [taylor]: Taking taylor expansion of im in re 5.772 * [backup-simplify]: Simplify im into im 5.772 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.772 * [taylor]: Taking taylor expansion of re in re 5.772 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.772 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.772 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.773 * [backup-simplify]: Simplify (+ 0 0) into 0 5.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.773 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.773 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.773 * [taylor]: Taking taylor expansion of im in re 5.773 * [backup-simplify]: Simplify im into im 5.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.773 * [taylor]: Taking taylor expansion of re in re 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 1 into 1 5.773 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.773 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.773 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.773 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.774 * [backup-simplify]: Simplify (+ 0 0) into 0 5.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.774 * [taylor]: Taking taylor expansion of im in im 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [taylor]: Taking taylor expansion of 0 in im 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.775 * [backup-simplify]: Simplify (* 1 1) into 1 5.776 * [backup-simplify]: Simplify (+ 0 1) into 1 5.776 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.776 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.777 * [taylor]: Taking taylor expansion of 1/2 in im 5.777 * [backup-simplify]: Simplify 1/2 into 1/2 5.777 * [taylor]: Taking taylor expansion of im in im 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify 1 into 1 5.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.780 * [backup-simplify]: Simplify (+ 0 0) into 0 5.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.780 * [taylor]: Taking taylor expansion of 0 in im 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.782 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.782 * [taylor]: Taking taylor expansion of re in im 5.782 * [backup-simplify]: Simplify re into re 5.782 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.782 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.782 * [taylor]: Taking taylor expansion of im in im 5.782 * [backup-simplify]: Simplify 0 into 0 5.782 * [backup-simplify]: Simplify 1 into 1 5.783 * [backup-simplify]: Simplify (* 1 1) into 1 5.783 * [backup-simplify]: Simplify (/ 1 1) into 1 5.783 * [backup-simplify]: Simplify (+ 0 1) into 1 5.784 * [backup-simplify]: Simplify (sqrt 1) into 1 5.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.786 * [backup-simplify]: Simplify (+ 0 0) into 0 5.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.786 * [taylor]: Taking taylor expansion of re in re 5.786 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 1 into 1 5.787 * [backup-simplify]: Simplify (* 1 1) into 1 5.787 * [backup-simplify]: Simplify (/ 1 1) into 1 5.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.787 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.787 * [taylor]: Taking taylor expansion of im in re 5.787 * [backup-simplify]: Simplify im into im 5.787 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.788 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.788 * [backup-simplify]: Simplify (+ 1 0) into 1 5.788 * [backup-simplify]: Simplify (sqrt 1) into 1 5.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.790 * [backup-simplify]: Simplify (+ 0 0) into 0 5.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.791 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.791 * [taylor]: Taking taylor expansion of re in re 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [backup-simplify]: Simplify (* 1 1) into 1 5.791 * [backup-simplify]: Simplify (/ 1 1) into 1 5.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.791 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.791 * [taylor]: Taking taylor expansion of im in re 5.791 * [backup-simplify]: Simplify im into im 5.791 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.791 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.792 * [backup-simplify]: Simplify (+ 1 0) into 1 5.792 * [backup-simplify]: Simplify (sqrt 1) into 1 5.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify (+ 0 0) into 0 5.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.793 * [taylor]: Taking taylor expansion of 1 in im 5.793 * [backup-simplify]: Simplify 1 into 1 5.793 * [taylor]: Taking taylor expansion of 0 in im 5.793 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify 1 into 1 5.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.795 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.795 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.795 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.795 * [taylor]: Taking taylor expansion of 1/2 in im 5.795 * [backup-simplify]: Simplify 1/2 into 1/2 5.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.795 * [taylor]: Taking taylor expansion of im in im 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (* 1 1) into 1 5.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.798 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.798 * [backup-simplify]: Simplify (+ 0 0) into 0 5.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.799 * [taylor]: Taking taylor expansion of 0 in im 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.800 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.800 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.800 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.800 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.800 * [taylor]: Taking taylor expansion of re in im 5.800 * [backup-simplify]: Simplify re into re 5.800 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.800 * [taylor]: Taking taylor expansion of im in im 5.800 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify 1 into 1 5.801 * [backup-simplify]: Simplify (* 1 1) into 1 5.801 * [backup-simplify]: Simplify (/ 1 1) into 1 5.801 * [backup-simplify]: Simplify (+ 0 1) into 1 5.801 * [backup-simplify]: Simplify (sqrt 1) into 1 5.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (+ 0 0) into 0 5.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.803 * [taylor]: Taking taylor expansion of re in re 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (* 1 1) into 1 5.803 * [backup-simplify]: Simplify (/ 1 1) into 1 5.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.804 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.804 * [taylor]: Taking taylor expansion of im in re 5.804 * [backup-simplify]: Simplify im into im 5.804 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.804 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.804 * [backup-simplify]: Simplify (+ 1 0) into 1 5.804 * [backup-simplify]: Simplify (sqrt 1) into 1 5.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.805 * [backup-simplify]: Simplify (+ 0 0) into 0 5.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.806 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.806 * [taylor]: Taking taylor expansion of re in re 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 1 into 1 5.806 * [backup-simplify]: Simplify (* 1 1) into 1 5.806 * [backup-simplify]: Simplify (/ 1 1) into 1 5.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.806 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.806 * [taylor]: Taking taylor expansion of im in re 5.806 * [backup-simplify]: Simplify im into im 5.806 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.807 * [backup-simplify]: Simplify (+ 1 0) into 1 5.807 * [backup-simplify]: Simplify (sqrt 1) into 1 5.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.808 * [backup-simplify]: Simplify (+ 0 0) into 0 5.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.808 * [taylor]: Taking taylor expansion of 1 in im 5.809 * [backup-simplify]: Simplify 1 into 1 5.809 * [taylor]: Taking taylor expansion of 0 in im 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 1 into 1 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.811 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.811 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.811 * [taylor]: Taking taylor expansion of 1/2 in im 5.811 * [backup-simplify]: Simplify 1/2 into 1/2 5.811 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.811 * [taylor]: Taking taylor expansion of im in im 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 1 into 1 5.811 * [backup-simplify]: Simplify (* 1 1) into 1 5.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.814 * [backup-simplify]: Simplify (+ 0 0) into 0 5.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.815 * [taylor]: Taking taylor expansion of 0 in im 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.816 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 5.816 * [backup-simplify]: Simplify (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 5.816 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 5.816 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 5.816 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.816 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.816 * [taylor]: Taking taylor expansion of im in im 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.816 * [taylor]: Taking taylor expansion of re in im 5.816 * [backup-simplify]: Simplify re into re 5.816 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.816 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.816 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.816 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.817 * [backup-simplify]: Simplify (+ 0 0) into 0 5.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.817 * [taylor]: Taking taylor expansion of re in im 5.817 * [backup-simplify]: Simplify re into re 5.817 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.817 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.817 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.817 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.817 * [taylor]: Taking taylor expansion of im in re 5.817 * [backup-simplify]: Simplify im into im 5.817 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.817 * [taylor]: Taking taylor expansion of re in re 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.817 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.817 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.817 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.817 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.818 * [taylor]: Taking taylor expansion of re in re 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.818 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.818 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.818 * [taylor]: Taking taylor expansion of im in re 5.818 * [backup-simplify]: Simplify im into im 5.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.818 * [taylor]: Taking taylor expansion of re in re 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.818 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.818 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.818 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.818 * [taylor]: Taking taylor expansion of re in re 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (- 0) into 0 5.819 * [backup-simplify]: Simplify (+ im 0) into im 5.819 * [taylor]: Taking taylor expansion of im in im 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify (- 1) into -1 5.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.819 * [taylor]: Taking taylor expansion of -1 in im 5.819 * [backup-simplify]: Simplify -1 into -1 5.819 * [backup-simplify]: Simplify -1 into -1 5.819 * [backup-simplify]: Simplify 1 into 1 5.820 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.820 * [backup-simplify]: Simplify (* 1 1) into 1 5.820 * [backup-simplify]: Simplify (+ 0 1) into 1 5.820 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.821 * [backup-simplify]: Simplify (- 0) into 0 5.821 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.821 * [taylor]: Taking taylor expansion of 1/2 in im 5.821 * [backup-simplify]: Simplify 1/2 into 1/2 5.821 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.821 * [taylor]: Taking taylor expansion of im in im 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (/ 1 1) into 1 5.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.823 * [backup-simplify]: Simplify (+ 0 0) into 0 5.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.824 * [backup-simplify]: Simplify (- 0) into 0 5.824 * [backup-simplify]: Simplify (+ 0 0) into 0 5.824 * [taylor]: Taking taylor expansion of 0 in im 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 5.825 * [backup-simplify]: Simplify (* (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 5.825 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 5.825 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.826 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.826 * [taylor]: Taking taylor expansion of re in im 5.826 * [backup-simplify]: Simplify re into re 5.826 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.826 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.826 * [taylor]: Taking taylor expansion of im in im 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (* 1 1) into 1 5.826 * [backup-simplify]: Simplify (/ 1 1) into 1 5.827 * [backup-simplify]: Simplify (+ 0 1) into 1 5.827 * [backup-simplify]: Simplify (sqrt 1) into 1 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.828 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.828 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.828 * [taylor]: Taking taylor expansion of re in im 5.828 * [backup-simplify]: Simplify re into re 5.828 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.828 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.828 * [taylor]: Taking taylor expansion of re in re 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (* 1 1) into 1 5.829 * [backup-simplify]: Simplify (/ 1 1) into 1 5.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.829 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.829 * [taylor]: Taking taylor expansion of im in re 5.829 * [backup-simplify]: Simplify im into im 5.829 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.829 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.829 * [backup-simplify]: Simplify (+ 1 0) into 1 5.830 * [backup-simplify]: Simplify (sqrt 1) into 1 5.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.833 * [taylor]: Taking taylor expansion of re in re 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (/ 1 1) into 1 5.833 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.833 * [taylor]: Taking taylor expansion of re in re 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (* 1 1) into 1 5.833 * [backup-simplify]: Simplify (/ 1 1) into 1 5.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.834 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.834 * [taylor]: Taking taylor expansion of im in re 5.834 * [backup-simplify]: Simplify im into im 5.834 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.834 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.834 * [backup-simplify]: Simplify (+ 1 0) into 1 5.834 * [backup-simplify]: Simplify (sqrt 1) into 1 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (+ 0 0) into 0 5.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.836 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.836 * [taylor]: Taking taylor expansion of re in re 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify 1 into 1 5.836 * [backup-simplify]: Simplify (/ 1 1) into 1 5.836 * [backup-simplify]: Simplify (- 1) into -1 5.836 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.837 * [taylor]: Taking taylor expansion of 0 in im 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.837 * [backup-simplify]: Simplify (- 0) into 0 5.837 * [backup-simplify]: Simplify (+ 0 0) into 0 5.837 * [taylor]: Taking taylor expansion of 0 in im 5.837 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.839 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.840 * [backup-simplify]: Simplify (- 0) into 0 5.840 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.840 * [taylor]: Taking taylor expansion of 1/2 in im 5.840 * [backup-simplify]: Simplify 1/2 into 1/2 5.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.841 * [taylor]: Taking taylor expansion of im in im 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 1 into 1 5.841 * [backup-simplify]: Simplify (* 1 1) into 1 5.841 * [backup-simplify]: Simplify (/ 1 1) into 1 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.844 * [backup-simplify]: Simplify (+ 0 0) into 0 5.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify (- 0) into 0 5.845 * [backup-simplify]: Simplify (+ 0 0) into 0 5.845 * [taylor]: Taking taylor expansion of 0 in im 5.845 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify (* (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 5.847 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 5.848 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.848 * [taylor]: Taking taylor expansion of re in im 5.848 * [backup-simplify]: Simplify re into re 5.848 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.848 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.848 * [taylor]: Taking taylor expansion of re in im 5.848 * [backup-simplify]: Simplify re into re 5.848 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.848 * [taylor]: Taking taylor expansion of im in im 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 1 into 1 5.848 * [backup-simplify]: Simplify (* 1 1) into 1 5.848 * [backup-simplify]: Simplify (/ 1 1) into 1 5.849 * [backup-simplify]: Simplify (+ 0 1) into 1 5.849 * [backup-simplify]: Simplify (sqrt 1) into 1 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.850 * [backup-simplify]: Simplify (+ 0 0) into 0 5.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.851 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.851 * [taylor]: Taking taylor expansion of re in re 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 1 into 1 5.851 * [backup-simplify]: Simplify (/ 1 1) into 1 5.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.851 * [taylor]: Taking taylor expansion of re in re 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 1 into 1 5.851 * [backup-simplify]: Simplify (* 1 1) into 1 5.852 * [backup-simplify]: Simplify (/ 1 1) into 1 5.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.852 * [taylor]: Taking taylor expansion of im in re 5.852 * [backup-simplify]: Simplify im into im 5.852 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.852 * [backup-simplify]: Simplify (+ 1 0) into 1 5.852 * [backup-simplify]: Simplify (sqrt 1) into 1 5.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.854 * [backup-simplify]: Simplify (+ 0 0) into 0 5.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.854 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.854 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.854 * [taylor]: Taking taylor expansion of re in re 5.854 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [backup-simplify]: Simplify (/ 1 1) into 1 5.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.855 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.855 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.855 * [taylor]: Taking taylor expansion of re in re 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [backup-simplify]: Simplify (* 1 1) into 1 5.855 * [backup-simplify]: Simplify (/ 1 1) into 1 5.855 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.855 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.855 * [taylor]: Taking taylor expansion of im in re 5.855 * [backup-simplify]: Simplify im into im 5.856 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.856 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.856 * [backup-simplify]: Simplify (+ 1 0) into 1 5.856 * [backup-simplify]: Simplify (sqrt 1) into 1 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.857 * [backup-simplify]: Simplify (+ 0 0) into 0 5.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.858 * [backup-simplify]: Simplify (+ 1 1) into 2 5.858 * [taylor]: Taking taylor expansion of 2 in im 5.858 * [backup-simplify]: Simplify 2 into 2 5.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ 0 0) into 0 5.859 * [taylor]: Taking taylor expansion of 0 in im 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 2 into 2 5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.860 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.861 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.861 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.861 * [taylor]: Taking taylor expansion of 1/2 in im 5.861 * [backup-simplify]: Simplify 1/2 into 1/2 5.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.861 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.861 * [taylor]: Taking taylor expansion of im in im 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (* 1 1) into 1 5.862 * [backup-simplify]: Simplify (/ 1 1) into 1 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.868 * [backup-simplify]: Simplify (+ 0 0) into 0 5.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.869 * [taylor]: Taking taylor expansion of 0 in im 5.869 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 5.872 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1) 5.873 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 5.873 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 5.873 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 5.873 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.873 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.873 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.873 * [taylor]: Taking taylor expansion of im in im 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 1 into 1 5.873 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.873 * [taylor]: Taking taylor expansion of re in im 5.873 * [backup-simplify]: Simplify re into re 5.873 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.873 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.873 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.873 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.874 * [backup-simplify]: Simplify (+ 0 0) into 0 5.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.874 * [taylor]: Taking taylor expansion of re in im 5.874 * [backup-simplify]: Simplify re into re 5.874 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.874 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.874 * [taylor]: Taking taylor expansion of im in re 5.874 * [backup-simplify]: Simplify im into im 5.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.874 * [taylor]: Taking taylor expansion of re in re 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 1 into 1 5.874 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.875 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.875 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.875 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.875 * [taylor]: Taking taylor expansion of re in re 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.876 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.876 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.876 * [taylor]: Taking taylor expansion of im in re 5.876 * [backup-simplify]: Simplify im into im 5.876 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.876 * [taylor]: Taking taylor expansion of re in re 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.876 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.876 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.876 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.877 * [backup-simplify]: Simplify (+ 0 0) into 0 5.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.877 * [taylor]: Taking taylor expansion of re in re 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (- 0) into 0 5.877 * [backup-simplify]: Simplify (+ im 0) into im 5.877 * [taylor]: Taking taylor expansion of im in im 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (- 1) into -1 5.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.878 * [taylor]: Taking taylor expansion of -1 in im 5.878 * [backup-simplify]: Simplify -1 into -1 5.878 * [backup-simplify]: Simplify -1 into -1 5.878 * [backup-simplify]: Simplify 1 into 1 5.879 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.879 * [backup-simplify]: Simplify (* 1 1) into 1 5.880 * [backup-simplify]: Simplify (+ 0 1) into 1 5.881 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.881 * [backup-simplify]: Simplify (- 0) into 0 5.881 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.881 * [taylor]: Taking taylor expansion of 1/2 in im 5.881 * [backup-simplify]: Simplify 1/2 into 1/2 5.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.881 * [taylor]: Taking taylor expansion of im in im 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify (/ 1 1) into 1 5.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.887 * [backup-simplify]: Simplify (+ 0 0) into 0 5.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.887 * [backup-simplify]: Simplify (- 0) into 0 5.888 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [taylor]: Taking taylor expansion of 0 in im 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 5.890 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 5.891 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 5.891 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.891 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.891 * [taylor]: Taking taylor expansion of re in im 5.891 * [backup-simplify]: Simplify re into re 5.891 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.891 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.891 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.891 * [taylor]: Taking taylor expansion of im in im 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 1 into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.892 * [backup-simplify]: Simplify (/ 1 1) into 1 5.892 * [backup-simplify]: Simplify (+ 0 1) into 1 5.893 * [backup-simplify]: Simplify (sqrt 1) into 1 5.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.895 * [backup-simplify]: Simplify (+ 0 0) into 0 5.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.896 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.896 * [taylor]: Taking taylor expansion of re in im 5.896 * [backup-simplify]: Simplify re into re 5.896 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.896 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.896 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.896 * [taylor]: Taking taylor expansion of re in re 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [backup-simplify]: Simplify (* 1 1) into 1 5.897 * [backup-simplify]: Simplify (/ 1 1) into 1 5.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.897 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.897 * [taylor]: Taking taylor expansion of im in re 5.897 * [backup-simplify]: Simplify im into im 5.897 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.897 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.898 * [backup-simplify]: Simplify (+ 1 0) into 1 5.898 * [backup-simplify]: Simplify (sqrt 1) into 1 5.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (+ 0 0) into 0 5.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.901 * [taylor]: Taking taylor expansion of re in re 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 1 into 1 5.901 * [backup-simplify]: Simplify (/ 1 1) into 1 5.901 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.901 * [taylor]: Taking taylor expansion of re in re 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 1 into 1 5.902 * [backup-simplify]: Simplify (* 1 1) into 1 5.902 * [backup-simplify]: Simplify (/ 1 1) into 1 5.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.902 * [taylor]: Taking taylor expansion of im in re 5.902 * [backup-simplify]: Simplify im into im 5.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.902 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.903 * [backup-simplify]: Simplify (+ 1 0) into 1 5.903 * [backup-simplify]: Simplify (sqrt 1) into 1 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.905 * [backup-simplify]: Simplify (+ 0 0) into 0 5.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.906 * [taylor]: Taking taylor expansion of re in re 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (/ 1 1) into 1 5.907 * [backup-simplify]: Simplify (- 1) into -1 5.907 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.907 * [taylor]: Taking taylor expansion of 0 in im 5.907 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.908 * [backup-simplify]: Simplify (- 0) into 0 5.909 * [backup-simplify]: Simplify (+ 0 0) into 0 5.909 * [taylor]: Taking taylor expansion of 0 in im 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.912 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.913 * [backup-simplify]: Simplify (- 0) into 0 5.914 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.914 * [taylor]: Taking taylor expansion of 1/2 in im 5.914 * [backup-simplify]: Simplify 1/2 into 1/2 5.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.914 * [taylor]: Taking taylor expansion of im in im 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (* 1 1) into 1 5.915 * [backup-simplify]: Simplify (/ 1 1) into 1 5.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.920 * [backup-simplify]: Simplify (+ 0 0) into 0 5.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.922 * [backup-simplify]: Simplify (- 0) into 0 5.922 * [backup-simplify]: Simplify (+ 0 0) into 0 5.922 * [taylor]: Taking taylor expansion of 0 in im 5.922 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 5.925 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 5.926 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.926 * [taylor]: Taking taylor expansion of re in im 5.926 * [backup-simplify]: Simplify re into re 5.926 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.926 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.926 * [taylor]: Taking taylor expansion of re in im 5.926 * [backup-simplify]: Simplify re into re 5.926 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.926 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.926 * [taylor]: Taking taylor expansion of im in im 5.926 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify 1 into 1 5.927 * [backup-simplify]: Simplify (* 1 1) into 1 5.927 * [backup-simplify]: Simplify (/ 1 1) into 1 5.927 * [backup-simplify]: Simplify (+ 0 1) into 1 5.928 * [backup-simplify]: Simplify (sqrt 1) into 1 5.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.930 * [backup-simplify]: Simplify (+ 0 0) into 0 5.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.930 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.930 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.930 * [taylor]: Taking taylor expansion of re in re 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (/ 1 1) into 1 5.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.931 * [taylor]: Taking taylor expansion of re in re 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (* 1 1) into 1 5.932 * [backup-simplify]: Simplify (/ 1 1) into 1 5.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.932 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.932 * [taylor]: Taking taylor expansion of im in re 5.932 * [backup-simplify]: Simplify im into im 5.932 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.932 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.933 * [backup-simplify]: Simplify (+ 1 0) into 1 5.933 * [backup-simplify]: Simplify (sqrt 1) into 1 5.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.935 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.936 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.936 * [taylor]: Taking taylor expansion of re in re 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify (/ 1 1) into 1 5.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.936 * [taylor]: Taking taylor expansion of re in re 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.937 * [backup-simplify]: Simplify (* 1 1) into 1 5.937 * [backup-simplify]: Simplify (/ 1 1) into 1 5.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.937 * [taylor]: Taking taylor expansion of im in re 5.937 * [backup-simplify]: Simplify im into im 5.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.938 * [backup-simplify]: Simplify (+ 1 0) into 1 5.938 * [backup-simplify]: Simplify (sqrt 1) into 1 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.941 * [backup-simplify]: Simplify (+ 1 1) into 2 5.941 * [taylor]: Taking taylor expansion of 2 in im 5.941 * [backup-simplify]: Simplify 2 into 2 5.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (+ 0 0) into 0 5.942 * [taylor]: Taking taylor expansion of 0 in im 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 2 into 2 5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.945 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.946 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.946 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.946 * [taylor]: Taking taylor expansion of 1/2 in im 5.947 * [backup-simplify]: Simplify 1/2 into 1/2 5.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.947 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.947 * [taylor]: Taking taylor expansion of im in im 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 1 into 1 5.947 * [backup-simplify]: Simplify (* 1 1) into 1 5.947 * [backup-simplify]: Simplify (/ 1 1) into 1 5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.953 * [backup-simplify]: Simplify (+ 0 0) into 0 5.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.954 * [taylor]: Taking taylor expansion of 0 in im 5.954 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 5.957 * * * [progress]: simplifying candidates 5.957 * * * * [progress]: [ 1 / 131 ] simplifiying candidate # 5.957 * * * * [progress]: [ 2 / 131 ] simplifiying candidate # 5.957 * * * * [progress]: [ 3 / 131 ] simplifiying candidate # 5.957 * * * * [progress]: [ 4 / 131 ] simplifiying candidate # 5.957 * * * * [progress]: [ 5 / 131 ] simplifiying candidate # 5.958 * * * * [progress]: [ 6 / 131 ] simplifiying candidate # 5.958 * * * * [progress]: [ 7 / 131 ] simplifiying candidate # 5.958 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 5.958 * * [simplify]: iters left: 6 (8 enodes) 5.961 * * [simplify]: iters left: 5 (26 enodes) 5.968 * * [simplify]: Extracting #0: cost 1 inf + 0 5.968 * * [simplify]: Extracting #1: cost 4 inf + 0 5.968 * * [simplify]: Extracting #2: cost 7 inf + 0 5.968 * * [simplify]: Extracting #3: cost 10 inf + 0 5.968 * * [simplify]: Extracting #4: cost 14 inf + 0 5.969 * * [simplify]: Extracting #5: cost 10 inf + 84 5.969 * * [simplify]: Extracting #6: cost 8 inf + 166 5.969 * * [simplify]: Extracting #7: cost 4 inf + 854 5.969 * * [simplify]: Extracting #8: cost 1 inf + 1540 5.970 * * [simplify]: Extracting #9: cost 0 inf + 1782 5.970 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 5.971 * [simplify]: Simplified (2 2 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))))) 5.971 * * * * [progress]: [ 8 / 131 ] simplifiying candidate # 5.971 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 5.971 * * [simplify]: iters left: 6 (7 enodes) 5.974 * * [simplify]: iters left: 5 (22 enodes) 5.982 * * [simplify]: Extracting #0: cost 1 inf + 0 5.982 * * [simplify]: Extracting #1: cost 3 inf + 0 5.982 * * [simplify]: Extracting #2: cost 5 inf + 0 5.982 * * [simplify]: Extracting #3: cost 8 inf + 0 5.982 * * [simplify]: Extracting #4: cost 12 inf + 0 5.982 * * [simplify]: Extracting #5: cost 10 inf + 2 5.982 * * [simplify]: Extracting #6: cost 1 inf + 936 5.983 * * [simplify]: Extracting #7: cost 0 inf + 1138 5.983 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 5.983 * [simplify]: Simplified (2 2 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))) 5.983 * * * * [progress]: [ 9 / 131 ] simplifiying candidate # 5.984 * [simplify]: Simplifying (sqrt 1) 5.984 * * [simplify]: iters left: 1 (2 enodes) 5.987 * * [simplify]: Extracting #0: cost 1 inf + 0 5.987 * * [simplify]: Extracting #1: cost 0 inf + 1 5.987 * [simplify]: Simplified to 1 5.987 * [simplify]: Simplified (2 2 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))))) 5.987 * * * * [progress]: [ 10 / 131 ] simplifiying candidate # 5.987 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 5.987 * * [simplify]: iters left: 6 (9 enodes) 5.993 * * [simplify]: iters left: 5 (45 enodes) 6.012 * * [simplify]: iters left: 4 (100 enodes) 6.056 * * [simplify]: iters left: 3 (201 enodes) 6.138 * * [simplify]: iters left: 2 (406 enodes) 6.289 * * [simplify]: Extracting #0: cost 1 inf + 0 6.289 * * [simplify]: Extracting #1: cost 3 inf + 0 6.289 * * [simplify]: Extracting #2: cost 6 inf + 0 6.289 * * [simplify]: Extracting #3: cost 62 inf + 0 6.290 * * [simplify]: Extracting #4: cost 166 inf + 460 6.291 * * [simplify]: Extracting #5: cost 131 inf + 12951 6.295 * * [simplify]: Extracting #6: cost 49 inf + 45746 6.300 * * [simplify]: Extracting #7: cost 1 inf + 66256 6.305 * * [simplify]: Extracting #8: cost 0 inf + 65919 6.313 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 6.313 * [simplify]: Simplified (2 2 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))))) 6.313 * * * * [progress]: [ 11 / 131 ] simplifiying candidate # 6.313 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.314 * * [simplify]: iters left: 6 (8 enodes) 6.317 * * [simplify]: iters left: 5 (37 enodes) 6.330 * * [simplify]: iters left: 4 (67 enodes) 6.350 * * [simplify]: iters left: 3 (123 enodes) 6.377 * * [simplify]: iters left: 2 (278 enodes) 6.528 * * [simplify]: Extracting #0: cost 1 inf + 0 6.528 * * [simplify]: Extracting #1: cost 3 inf + 0 6.528 * * [simplify]: Extracting #2: cost 50 inf + 0 6.528 * * [simplify]: Extracting #3: cost 150 inf + 0 6.529 * * [simplify]: Extracting #4: cost 194 inf + 1180 6.532 * * [simplify]: Extracting #5: cost 123 inf + 12421 6.537 * * [simplify]: Extracting #6: cost 12 inf + 33804 6.545 * * [simplify]: Extracting #7: cost 0 inf + 36129 6.552 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.552 * [simplify]: Simplified (2 2 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))))) 6.552 * * * * [progress]: [ 12 / 131 ] simplifiying candidate # 6.553 * [simplify]: Simplifying (+ (* re re) (* im im)) 6.553 * * [simplify]: iters left: 4 (5 enodes) 6.554 * * [simplify]: iters left: 3 (16 enodes) 6.556 * * [simplify]: Extracting #0: cost 1 inf + 0 6.556 * * [simplify]: Extracting #1: cost 4 inf + 0 6.556 * * [simplify]: Extracting #2: cost 8 inf + 0 6.556 * * [simplify]: Extracting #3: cost 4 inf + 84 6.556 * * [simplify]: Extracting #4: cost 0 inf + 410 6.556 * [simplify]: Simplified to (+ (* re re) (* im im)) 6.556 * [simplify]: Simplified (2 2 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))))) 6.556 * * * * [progress]: [ 13 / 131 ] simplifiying candidate # 6.556 * * * * [progress]: [ 14 / 131 ] simplifiying candidate # 6.557 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 6.557 * * [simplify]: iters left: 5 (6 enodes) 6.558 * * [simplify]: iters left: 4 (19 enodes) 6.561 * * [simplify]: Extracting #0: cost 1 inf + 0 6.561 * * [simplify]: Extracting #1: cost 3 inf + 0 6.561 * * [simplify]: Extracting #2: cost 6 inf + 0 6.561 * * [simplify]: Extracting #3: cost 10 inf + 0 6.561 * * [simplify]: Extracting #4: cost 6 inf + 84 6.561 * * [simplify]: Extracting #5: cost 0 inf + 734 6.561 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 6.561 * [simplify]: Simplified (2 2 1 2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (fabs (sqrt (+ (* re re) (* im im)))) re))))))) 6.562 * * * * [progress]: [ 15 / 131 ] simplifiying candidate # 6.562 * * * * [progress]: [ 16 / 131 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))> 6.562 * * * * [progress]: [ 17 / 131 ] simplifiying candidate # 6.562 * * * * [progress]: [ 18 / 131 ] simplifiying candidate # 6.562 * * * * [progress]: [ 19 / 131 ] simplifiying candidate # 6.562 * * * * [progress]: [ 20 / 131 ] simplifiying candidate # 6.562 * * * * [progress]: [ 21 / 131 ] simplifiying candidate # 6.562 * * * * [progress]: [ 22 / 131 ] simplifiying candidate # 6.562 * * * * [progress]: [ 23 / 131 ] simplifiying candidate # 6.562 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 6.562 * * [simplify]: iters left: 6 (8 enodes) 6.564 * * [simplify]: iters left: 5 (26 enodes) 6.567 * * [simplify]: Extracting #0: cost 1 inf + 0 6.567 * * [simplify]: Extracting #1: cost 4 inf + 0 6.567 * * [simplify]: Extracting #2: cost 7 inf + 0 6.567 * * [simplify]: Extracting #3: cost 10 inf + 0 6.567 * * [simplify]: Extracting #4: cost 14 inf + 0 6.567 * * [simplify]: Extracting #5: cost 10 inf + 84 6.567 * * [simplify]: Extracting #6: cost 8 inf + 166 6.567 * * [simplify]: Extracting #7: cost 4 inf + 854 6.568 * * [simplify]: Extracting #8: cost 1 inf + 1540 6.568 * * [simplify]: Extracting #9: cost 0 inf + 1782 6.568 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 6.568 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.568 * * * * [progress]: [ 24 / 131 ] simplifiying candidate # 6.569 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 6.569 * * [simplify]: iters left: 6 (7 enodes) 6.570 * * [simplify]: iters left: 5 (22 enodes) 6.573 * * [simplify]: Extracting #0: cost 1 inf + 0 6.573 * * [simplify]: Extracting #1: cost 3 inf + 0 6.573 * * [simplify]: Extracting #2: cost 5 inf + 0 6.573 * * [simplify]: Extracting #3: cost 8 inf + 0 6.573 * * [simplify]: Extracting #4: cost 12 inf + 0 6.573 * * [simplify]: Extracting #5: cost 10 inf + 2 6.573 * * [simplify]: Extracting #6: cost 1 inf + 936 6.573 * * [simplify]: Extracting #7: cost 0 inf + 1138 6.574 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.574 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.574 * * * * [progress]: [ 25 / 131 ] simplifiying candidate # 6.574 * [simplify]: Simplifying (sqrt 1) 6.574 * * [simplify]: iters left: 1 (2 enodes) 6.576 * * [simplify]: Extracting #0: cost 1 inf + 0 6.576 * * [simplify]: Extracting #1: cost 0 inf + 1 6.576 * [simplify]: Simplified to 1 6.576 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (* 1 (sqrt (+ (* re re) (* im im)))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.576 * * * * [progress]: [ 26 / 131 ] simplifiying candidate # 6.576 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 6.576 * * [simplify]: iters left: 6 (9 enodes) 6.579 * * [simplify]: iters left: 5 (45 enodes) 6.590 * * [simplify]: iters left: 4 (100 enodes) 6.635 * * [simplify]: iters left: 3 (201 enodes) 6.679 * * [simplify]: iters left: 2 (406 enodes) 6.787 * * [simplify]: Extracting #0: cost 1 inf + 0 6.787 * * [simplify]: Extracting #1: cost 3 inf + 0 6.787 * * [simplify]: Extracting #2: cost 6 inf + 0 6.787 * * [simplify]: Extracting #3: cost 62 inf + 0 6.788 * * [simplify]: Extracting #4: cost 166 inf + 460 6.791 * * [simplify]: Extracting #5: cost 131 inf + 12951 6.798 * * [simplify]: Extracting #6: cost 49 inf + 45746 6.809 * * [simplify]: Extracting #7: cost 1 inf + 66256 6.819 * * [simplify]: Extracting #8: cost 0 inf + 65919 6.830 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 6.830 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.830 * * * * [progress]: [ 27 / 131 ] simplifiying candidate # 6.831 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.831 * * [simplify]: iters left: 6 (8 enodes) 6.835 * * [simplify]: iters left: 5 (37 enodes) 6.848 * * [simplify]: iters left: 4 (67 enodes) 6.874 * * [simplify]: iters left: 3 (123 enodes) 6.909 * * [simplify]: iters left: 2 (278 enodes) 7.025 * * [simplify]: Extracting #0: cost 1 inf + 0 7.025 * * [simplify]: Extracting #1: cost 3 inf + 0 7.026 * * [simplify]: Extracting #2: cost 50 inf + 0 7.026 * * [simplify]: Extracting #3: cost 150 inf + 0 7.028 * * [simplify]: Extracting #4: cost 194 inf + 1180 7.033 * * [simplify]: Extracting #5: cost 123 inf + 12421 7.047 * * [simplify]: Extracting #6: cost 12 inf + 33804 7.054 * * [simplify]: Extracting #7: cost 0 inf + 36129 7.061 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 7.061 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.062 * * * * [progress]: [ 28 / 131 ] simplifiying candidate # 7.062 * [simplify]: Simplifying (+ (* re re) (* im im)) 7.062 * * [simplify]: iters left: 4 (5 enodes) 7.063 * * [simplify]: iters left: 3 (16 enodes) 7.065 * * [simplify]: Extracting #0: cost 1 inf + 0 7.065 * * [simplify]: Extracting #1: cost 4 inf + 0 7.065 * * [simplify]: Extracting #2: cost 8 inf + 0 7.065 * * [simplify]: Extracting #3: cost 4 inf + 84 7.065 * * [simplify]: Extracting #4: cost 0 inf + 410 7.065 * [simplify]: Simplified to (+ (* re re) (* im im)) 7.065 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (pow (+ (* re re) (* im im)) (/ 1 2)) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.065 * * * * [progress]: [ 29 / 131 ] simplifiying candidate # 7.065 * * * * [progress]: [ 30 / 131 ] simplifiying candidate # 7.066 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.066 * * [simplify]: iters left: 5 (6 enodes) 7.067 * * [simplify]: iters left: 4 (19 enodes) 7.069 * * [simplify]: Extracting #0: cost 1 inf + 0 7.069 * * [simplify]: Extracting #1: cost 3 inf + 0 7.069 * * [simplify]: Extracting #2: cost 6 inf + 0 7.069 * * [simplify]: Extracting #3: cost 10 inf + 0 7.069 * * [simplify]: Extracting #4: cost 6 inf + 84 7.070 * * [simplify]: Extracting #5: cost 0 inf + 734 7.070 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.070 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (fabs (sqrt (+ (* re re) (* im im)))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.070 * * * * [progress]: [ 31 / 131 ] simplifiying candidate # 7.070 * * * * [progress]: [ 32 / 131 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.070 * * * * [progress]: [ 33 / 131 ] simplifiying candidate # 7.070 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 7.070 * * [simplify]: iters left: 6 (7 enodes) 7.072 * * [simplify]: iters left: 5 (24 enodes) 7.075 * * [simplify]: iters left: 4 (27 enodes) 7.079 * * [simplify]: Extracting #0: cost 1 inf + 0 7.079 * * [simplify]: Extracting #1: cost 5 inf + 0 7.079 * * [simplify]: Extracting #2: cost 7 inf + 1 7.079 * * [simplify]: Extracting #3: cost 8 inf + 83 7.079 * * [simplify]: Extracting #4: cost 10 inf + 124 7.079 * * [simplify]: Extracting #5: cost 6 inf + 248 7.079 * * [simplify]: Extracting #6: cost 3 inf + 654 7.080 * * [simplify]: Extracting #7: cost 1 inf + 1018 7.080 * * [simplify]: Extracting #8: cost 0 inf + 1220 7.081 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 7.081 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) (+ 1/2 1/2)))))) 7.081 * [simplify]: Simplifying (+ 1/2 1/2) 7.081 * * [simplify]: iters left: 2 (2 enodes) 7.084 * * [simplify]: iters left: 1 (7 enodes) 7.087 * * [simplify]: Extracting #0: cost 1 inf + 0 7.087 * * [simplify]: Extracting #1: cost 0 inf + 1 7.087 * [simplify]: Simplified to 1 7.087 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1))))) 7.087 * * * * [progress]: [ 34 / 131 ] simplifiying candidate # 7.087 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 7.087 * * [simplify]: iters left: 6 (7 enodes) 7.091 * * [simplify]: iters left: 5 (24 enodes) 7.097 * * [simplify]: iters left: 4 (27 enodes) 7.105 * * [simplify]: Extracting #0: cost 1 inf + 0 7.105 * * [simplify]: Extracting #1: cost 5 inf + 0 7.105 * * [simplify]: Extracting #2: cost 7 inf + 1 7.105 * * [simplify]: Extracting #3: cost 8 inf + 83 7.105 * * [simplify]: Extracting #4: cost 10 inf + 124 7.105 * * [simplify]: Extracting #5: cost 6 inf + 248 7.105 * * [simplify]: Extracting #6: cost 3 inf + 654 7.106 * * [simplify]: Extracting #7: cost 1 inf + 1018 7.106 * * [simplify]: Extracting #8: cost 0 inf + 1220 7.107 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 7.107 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) (+ 1/2 (/ 1 2))))))) 7.107 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 7.107 * * [simplify]: iters left: 4 (5 enodes) 7.112 * * [simplify]: iters left: 3 (18 enodes) 7.120 * * [simplify]: iters left: 2 (20 enodes) 7.125 * * [simplify]: Extracting #0: cost 1 inf + 0 7.125 * * [simplify]: Extracting #1: cost 0 inf + 1 7.125 * [simplify]: Simplified to 1 7.125 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1))))) 7.125 * * * * [progress]: [ 35 / 131 ] simplifiying candidate # 7.126 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.126 * * [simplify]: iters left: 6 (8 enodes) 7.129 * * [simplify]: iters left: 5 (27 enodes) 7.137 * * [simplify]: iters left: 4 (30 enodes) 7.145 * * [simplify]: Extracting #0: cost 1 inf + 0 7.145 * * [simplify]: Extracting #1: cost 3 inf + 0 7.145 * * [simplify]: Extracting #2: cost 7 inf + 0 7.145 * * [simplify]: Extracting #3: cost 9 inf + 1 7.145 * * [simplify]: Extracting #4: cost 10 inf + 83 7.145 * * [simplify]: Extracting #5: cost 12 inf + 124 7.145 * * [simplify]: Extracting #6: cost 9 inf + 207 7.146 * * [simplify]: Extracting #7: cost 5 inf + 654 7.146 * * [simplify]: Extracting #8: cost 1 inf + 1462 7.147 * * [simplify]: Extracting #9: cost 0 inf + 1704 7.147 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.147 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ 1 1)))))) 7.148 * [simplify]: Simplifying (+ 1 1) 7.148 * * [simplify]: iters left: 2 (2 enodes) 7.150 * * [simplify]: iters left: 1 (9 enodes) 7.154 * * [simplify]: Extracting #0: cost 1 inf + 0 7.154 * * [simplify]: Extracting #1: cost 0 inf + 1 7.154 * [simplify]: Simplified to 2 7.154 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 2))))) 7.154 * * * * [progress]: [ 36 / 131 ] simplifiying candidate # 7.154 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 7.154 * * [simplify]: iters left: 6 (7 enodes) 7.160 * * [simplify]: iters left: 5 (24 enodes) 7.167 * * [simplify]: iters left: 4 (27 enodes) 7.174 * * [simplify]: Extracting #0: cost 1 inf + 0 7.174 * * [simplify]: Extracting #1: cost 5 inf + 0 7.174 * * [simplify]: Extracting #2: cost 7 inf + 1 7.174 * * [simplify]: Extracting #3: cost 8 inf + 83 7.174 * * [simplify]: Extracting #4: cost 10 inf + 124 7.174 * * [simplify]: Extracting #5: cost 6 inf + 248 7.175 * * [simplify]: Extracting #6: cost 3 inf + 654 7.175 * * [simplify]: Extracting #7: cost 1 inf + 1018 7.175 * * [simplify]: Extracting #8: cost 0 inf + 1220 7.176 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 7.176 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) (+ (/ 1 2) 1/2)))))) 7.177 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 7.177 * * [simplify]: iters left: 4 (5 enodes) 7.183 * * [simplify]: iters left: 3 (18 enodes) 7.189 * * [simplify]: iters left: 2 (20 enodes) 7.194 * * [simplify]: Extracting #0: cost 1 inf + 0 7.194 * * [simplify]: Extracting #1: cost 0 inf + 1 7.194 * [simplify]: Simplified to 1 7.194 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1))))) 7.195 * * * * [progress]: [ 37 / 131 ] simplifiying candidate # 7.195 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 7.195 * * [simplify]: iters left: 6 (7 enodes) 7.198 * * [simplify]: iters left: 5 (24 enodes) 7.205 * * [simplify]: iters left: 4 (27 enodes) 7.212 * * [simplify]: Extracting #0: cost 1 inf + 0 7.212 * * [simplify]: Extracting #1: cost 5 inf + 0 7.212 * * [simplify]: Extracting #2: cost 7 inf + 1 7.212 * * [simplify]: Extracting #3: cost 8 inf + 83 7.212 * * [simplify]: Extracting #4: cost 10 inf + 124 7.212 * * [simplify]: Extracting #5: cost 6 inf + 248 7.213 * * [simplify]: Extracting #6: cost 3 inf + 654 7.213 * * [simplify]: Extracting #7: cost 1 inf + 1018 7.213 * * [simplify]: Extracting #8: cost 0 inf + 1220 7.214 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 7.214 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) (+ (/ 1 2) (/ 1 2))))))) 7.214 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 7.214 * * [simplify]: iters left: 4 (4 enodes) 7.218 * * [simplify]: iters left: 3 (15 enodes) 7.223 * * [simplify]: iters left: 2 (17 enodes) 7.228 * * [simplify]: Extracting #0: cost 1 inf + 0 7.228 * * [simplify]: Extracting #1: cost 0 inf + 1 7.228 * [simplify]: Simplified to 1 7.228 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1))))) 7.228 * * * * [progress]: [ 38 / 131 ] simplifiying candidate # 7.228 * [simplify]: Simplifying (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 7.229 * * [simplify]: iters left: 6 (8 enodes) 7.232 * * [simplify]: iters left: 5 (27 enodes) 7.239 * * [simplify]: iters left: 4 (36 enodes) 7.251 * * [simplify]: iters left: 3 (62 enodes) 7.270 * * [simplify]: iters left: 2 (87 enodes) 7.281 * * [simplify]: iters left: 1 (145 enodes) 7.325 * * [simplify]: Extracting #0: cost 1 inf + 0 7.325 * * [simplify]: Extracting #1: cost 27 inf + 0 7.325 * * [simplify]: Extracting #2: cost 79 inf + 0 7.326 * * [simplify]: Extracting #3: cost 77 inf + 166 7.327 * * [simplify]: Extracting #4: cost 57 inf + 3560 7.333 * * [simplify]: Extracting #5: cost 12 inf + 16330 7.342 * * [simplify]: Extracting #6: cost 0 inf + 19514 7.352 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 7.352 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 1/2))))) 7.352 * * * * [progress]: [ 39 / 131 ] simplifiying candidate # 7.352 * [simplify]: Simplifying (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.352 * * [simplify]: iters left: 6 (9 enodes) 7.356 * * [simplify]: iters left: 5 (28 enodes) 7.364 * * [simplify]: iters left: 4 (32 enodes) 7.373 * * [simplify]: Extracting #0: cost 1 inf + 0 7.373 * * [simplify]: Extracting #1: cost 6 inf + 0 7.373 * * [simplify]: Extracting #2: cost 9 inf + 1 7.373 * * [simplify]: Extracting #3: cost 10 inf + 83 7.373 * * [simplify]: Extracting #4: cost 12 inf + 124 7.373 * * [simplify]: Extracting #5: cost 8 inf + 248 7.374 * * [simplify]: Extracting #6: cost 6 inf + 532 7.374 * * [simplify]: Extracting #7: cost 2 inf + 1260 7.375 * * [simplify]: Extracting #8: cost 0 inf + 1704 7.375 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 7.375 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1))))) 7.376 * * * * [progress]: [ 40 / 131 ] simplifiying candidate # 7.376 * [simplify]: Simplifying (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 7.376 * * [simplify]: iters left: 6 (8 enodes) 7.380 * * [simplify]: iters left: 5 (27 enodes) 7.388 * * [simplify]: iters left: 4 (36 enodes) 7.400 * * [simplify]: iters left: 3 (62 enodes) 7.421 * * [simplify]: iters left: 2 (87 enodes) 7.446 * * [simplify]: iters left: 1 (145 enodes) 7.510 * * [simplify]: Extracting #0: cost 1 inf + 0 7.510 * * [simplify]: Extracting #1: cost 27 inf + 0 7.510 * * [simplify]: Extracting #2: cost 79 inf + 0 7.511 * * [simplify]: Extracting #3: cost 77 inf + 166 7.512 * * [simplify]: Extracting #4: cost 57 inf + 3560 7.518 * * [simplify]: Extracting #5: cost 12 inf + 16330 7.528 * * [simplify]: Extracting #6: cost 0 inf + 19514 7.536 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 7.536 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2)))))) 7.536 * [simplify]: Simplifying (/ 1 2) 7.536 * * [simplify]: iters left: 2 (3 enodes) 7.540 * * [simplify]: iters left: 1 (12 enodes) 7.544 * * [simplify]: Extracting #0: cost 1 inf + 0 7.544 * * [simplify]: Extracting #1: cost 0 inf + 1 7.544 * [simplify]: Simplified to 1/2 7.544 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 1/2))))) 7.545 * * * * [progress]: [ 41 / 131 ] simplifiying candidate # 7.545 * * * * [progress]: [ 42 / 131 ] simplifiying candidate # 7.545 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.545 * * [simplify]: iters left: 6 (8 enodes) 7.549 * * [simplify]: iters left: 5 (27 enodes) 7.559 * * [simplify]: iters left: 4 (30 enodes) 7.567 * * [simplify]: Extracting #0: cost 1 inf + 0 7.567 * * [simplify]: Extracting #1: cost 3 inf + 0 7.567 * * [simplify]: Extracting #2: cost 7 inf + 0 7.567 * * [simplify]: Extracting #3: cost 9 inf + 1 7.567 * * [simplify]: Extracting #4: cost 10 inf + 83 7.567 * * [simplify]: Extracting #5: cost 12 inf + 124 7.567 * * [simplify]: Extracting #6: cost 9 inf + 207 7.567 * * [simplify]: Extracting #7: cost 5 inf + 654 7.567 * * [simplify]: Extracting #8: cost 1 inf + 1462 7.568 * * [simplify]: Extracting #9: cost 0 inf + 1704 7.568 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.568 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ 1 1)))))) 7.568 * * * * [progress]: [ 43 / 131 ] simplifiying candidate # 7.568 * * * * [progress]: [ 44 / 131 ] simplifiying candidate # 7.568 * [simplify]: Simplifying (+ (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.569 * * [simplify]: iters left: 6 (10 enodes) 7.571 * * [simplify]: iters left: 5 (33 enodes) 7.575 * * [simplify]: iters left: 4 (36 enodes) 7.580 * * [simplify]: Extracting #0: cost 1 inf + 0 7.580 * * [simplify]: Extracting #1: cost 3 inf + 0 7.580 * * [simplify]: Extracting #2: cost 5 inf + 0 7.580 * * [simplify]: Extracting #3: cost 7 inf + 0 7.580 * * [simplify]: Extracting #4: cost 11 inf + 0 7.580 * * [simplify]: Extracting #5: cost 13 inf + 1 7.580 * * [simplify]: Extracting #6: cost 14 inf + 83 7.580 * * [simplify]: Extracting #7: cost 16 inf + 124 7.580 * * [simplify]: Extracting #8: cost 13 inf + 207 7.580 * * [simplify]: Extracting #9: cost 9 inf + 654 7.581 * * [simplify]: Extracting #10: cost 4 inf + 1704 7.581 * * [simplify]: Extracting #11: cost 0 inf + 3032 7.582 * [simplify]: Simplified to (+ (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.582 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (+ (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 7.582 * * * * [progress]: [ 45 / 131 ] simplifiying candidate # 7.582 * * * * [progress]: [ 46 / 131 ] simplifiying candidate # 7.582 * * * * [progress]: [ 47 / 131 ] simplifiying candidate # 7.582 * [simplify]: Simplifying (* (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.582 * * [simplify]: iters left: 6 (11 enodes) 7.585 * * [simplify]: iters left: 5 (41 enodes) 7.598 * * [simplify]: iters left: 4 (83 enodes) 7.638 * * [simplify]: iters left: 3 (286 enodes) 7.751 * * [simplify]: Extracting #0: cost 1 inf + 0 7.751 * * [simplify]: Extracting #1: cost 22 inf + 0 7.752 * * [simplify]: Extracting #2: cost 91 inf + 2 7.752 * * [simplify]: Extracting #3: cost 139 inf + 87 7.753 * * [simplify]: Extracting #4: cost 136 inf + 332 7.755 * * [simplify]: Extracting #5: cost 127 inf + 1668 7.762 * * [simplify]: Extracting #6: cost 81 inf + 13672 7.776 * * [simplify]: Extracting #7: cost 22 inf + 35060 7.795 * * [simplify]: Extracting #8: cost 0 inf + 43948 7.805 * [simplify]: Simplified to (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) 7.805 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))))))) 7.806 * * * * [progress]: [ 48 / 131 ] simplifiying candidate # 7.806 * * * * [progress]: [ 49 / 131 ] simplifiying candidate # 7.806 * * * * [progress]: [ 50 / 131 ] simplifiying candidate # 7.806 * [simplify]: Simplifying (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 7.806 * * [simplify]: iters left: 6 (8 enodes) 7.808 * * [simplify]: iters left: 5 (27 enodes) 7.811 * * [simplify]: iters left: 4 (36 enodes) 7.817 * * [simplify]: iters left: 3 (62 enodes) 7.830 * * [simplify]: iters left: 2 (87 enodes) 7.854 * * [simplify]: iters left: 1 (145 enodes) 7.903 * * [simplify]: Extracting #0: cost 1 inf + 0 7.903 * * [simplify]: Extracting #1: cost 27 inf + 0 7.903 * * [simplify]: Extracting #2: cost 79 inf + 0 7.903 * * [simplify]: Extracting #3: cost 77 inf + 166 7.904 * * [simplify]: Extracting #4: cost 57 inf + 3560 7.907 * * [simplify]: Extracting #5: cost 12 inf + 16330 7.912 * * [simplify]: Extracting #6: cost 0 inf + 19514 7.919 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) 7.919 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re))))))) 7.919 * * * * [progress]: [ 51 / 131 ] simplifiying candidate # 7.919 * * * * [progress]: [ 52 / 131 ] simplifiying candidate # 7.919 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.919 * * [simplify]: iters left: 5 (6 enodes) 7.922 * * [simplify]: iters left: 4 (19 enodes) 7.927 * * [simplify]: Extracting #0: cost 1 inf + 0 7.927 * * [simplify]: Extracting #1: cost 3 inf + 0 7.927 * * [simplify]: Extracting #2: cost 6 inf + 0 7.927 * * [simplify]: Extracting #3: cost 10 inf + 0 7.928 * * [simplify]: Extracting #4: cost 6 inf + 84 7.928 * * [simplify]: Extracting #5: cost 0 inf + 734 7.928 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.928 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 7.928 * * * * [progress]: [ 53 / 131 ] simplifiying candidate # 7.929 * [simplify]: Simplifying (* (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 7.929 * * [simplify]: iters left: 6 (12 enodes) 7.936 * * [simplify]: iters left: 5 (49 enodes) 7.956 * * [simplify]: iters left: 4 (88 enodes) 7.987 * * [simplify]: iters left: 3 (169 enodes) 8.023 * * [simplify]: iters left: 2 (326 enodes) 8.140 * * [simplify]: Extracting #0: cost 1 inf + 0 8.140 * * [simplify]: Extracting #1: cost 24 inf + 0 8.141 * * [simplify]: Extracting #2: cost 117 inf + 0 8.141 * * [simplify]: Extracting #3: cost 157 inf + 1299 8.143 * * [simplify]: Extracting #4: cost 133 inf + 7719 8.148 * * [simplify]: Extracting #5: cost 79 inf + 34095 8.162 * * [simplify]: Extracting #6: cost 12 inf + 79679 8.180 * * [simplify]: Extracting #7: cost 0 inf + 88070 8.196 * [simplify]: Simplified to (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) 8.196 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) (* (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))))) 8.196 * [simplify]: Simplifying (* (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) 8.196 * * [simplify]: iters left: 6 (12 enodes) 8.199 * * [simplify]: iters left: 5 (40 enodes) 8.208 * * [simplify]: iters left: 4 (65 enodes) 8.218 * * [simplify]: iters left: 3 (89 enodes) 8.239 * * [simplify]: iters left: 2 (107 enodes) 8.265 * * [simplify]: Extracting #0: cost 1 inf + 0 8.265 * * [simplify]: Extracting #1: cost 13 inf + 0 8.266 * * [simplify]: Extracting #2: cost 30 inf + 0 8.266 * * [simplify]: Extracting #3: cost 28 inf + 206 8.266 * * [simplify]: Extracting #4: cost 20 inf + 1099 8.268 * * [simplify]: Extracting #5: cost 7 inf + 3964 8.271 * * [simplify]: Extracting #6: cost 0 inf + 5898 8.273 * * [simplify]: Extracting #7: cost 0 inf + 5818 8.276 * [simplify]: Simplified to (+ (+ (* (sqrt (+ (* re re) (* im im))) re) (* re re)) (+ (* re re) (* im im))) 8.276 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) (+ (+ (* (sqrt (+ (* re re) (* im im))) re) (* re re)) (+ (* re re) (* im im)))))))) 8.276 * * * * [progress]: [ 54 / 131 ] simplifiying candidate # 8.277 * [simplify]: Simplifying (* (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 8.277 * * [simplify]: iters left: 6 (15 enodes) 8.285 * * [simplify]: iters left: 5 (63 enodes) 8.309 * * [simplify]: iters left: 4 (129 enodes) 8.351 * * [simplify]: iters left: 3 (266 enodes) 8.411 * * [simplify]: iters left: 2 (489 enodes) 8.586 * * [simplify]: Extracting #0: cost 1 inf + 0 8.586 * * [simplify]: Extracting #1: cost 4 inf + 0 8.586 * * [simplify]: Extracting #2: cost 9 inf + 0 8.586 * * [simplify]: Extracting #3: cost 68 inf + 83 8.587 * * [simplify]: Extracting #4: cost 221 inf + 166 8.588 * * [simplify]: Extracting #5: cost 258 inf + 1435 8.591 * * [simplify]: Extracting #6: cost 212 inf + 10592 8.602 * * [simplify]: Extracting #7: cost 97 inf + 58881 8.627 * * [simplify]: Extracting #8: cost 19 inf + 103303 8.656 * * [simplify]: Extracting #9: cost 0 inf + 114496 8.671 * * [simplify]: Extracting #10: cost 0 inf + 114456 8.685 * [simplify]: Simplified to (* (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (fabs im)) 8.685 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (fabs im)) (* (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) 8.686 * [simplify]: Simplifying (* (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 8.686 * * [simplify]: iters left: 6 (14 enodes) 8.689 * * [simplify]: iters left: 5 (49 enodes) 8.701 * * [simplify]: iters left: 4 (68 enodes) 8.712 * * [simplify]: iters left: 3 (91 enodes) 8.725 * * [simplify]: iters left: 2 (112 enodes) 8.745 * * [simplify]: iters left: 1 (117 enodes) 8.772 * * [simplify]: Extracting #0: cost 1 inf + 0 8.772 * * [simplify]: Extracting #1: cost 4 inf + 0 8.772 * * [simplify]: Extracting #2: cost 8 inf + 0 8.772 * * [simplify]: Extracting #3: cost 22 inf + 0 8.773 * * [simplify]: Extracting #4: cost 34 inf + 42 8.773 * * [simplify]: Extracting #5: cost 28 inf + 531 8.774 * * [simplify]: Extracting #6: cost 22 inf + 1302 8.775 * * [simplify]: Extracting #7: cost 10 inf + 4126 8.778 * * [simplify]: Extracting #8: cost 1 inf + 6704 8.781 * * [simplify]: Extracting #9: cost 0 inf + 7106 8.784 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (* (+ (sqrt (+ (* re re) (* im im))) re) re) (+ (* re re) (* im im))))) 8.784 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (fabs im)) (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (* (+ (sqrt (+ (* re re) (* im im))) re) re) (+ (* re re) (* im im)))))))))) 8.784 * * * * [progress]: [ 55 / 131 ] simplifiying candidate # 8.785 * [simplify]: Simplifying (* (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 8.785 * * [simplify]: iters left: 6 (15 enodes) 8.793 * * [simplify]: iters left: 5 (63 enodes) 8.817 * * [simplify]: iters left: 4 (129 enodes) 8.873 * * [simplify]: iters left: 3 (266 enodes) 8.947 * * [simplify]: iters left: 2 (472 enodes) 9.086 * * [simplify]: Extracting #0: cost 1 inf + 0 9.086 * * [simplify]: Extracting #1: cost 4 inf + 0 9.086 * * [simplify]: Extracting #2: cost 9 inf + 0 9.086 * * [simplify]: Extracting #3: cost 70 inf + 42 9.086 * * [simplify]: Extracting #4: cost 218 inf + 125 9.088 * * [simplify]: Extracting #5: cost 241 inf + 2849 9.090 * * [simplify]: Extracting #6: cost 202 inf + 11660 9.098 * * [simplify]: Extracting #7: cost 81 inf + 63873 9.114 * * [simplify]: Extracting #8: cost 8 inf + 105968 9.128 * * [simplify]: Extracting #9: cost 0 inf + 111157 9.152 * * [simplify]: Extracting #10: cost 0 inf + 111117 9.179 * [simplify]: Simplified to (* (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (fabs im)) 9.179 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (fabs im)) (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))))) 9.180 * [simplify]: Simplifying (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) 9.180 * * [simplify]: iters left: 6 (14 enodes) 9.184 * * [simplify]: iters left: 5 (49 enodes) 9.191 * * [simplify]: iters left: 4 (68 enodes) 9.202 * * [simplify]: iters left: 3 (91 enodes) 9.221 * * [simplify]: iters left: 2 (112 enodes) 9.251 * * [simplify]: iters left: 1 (117 enodes) 9.268 * * [simplify]: Extracting #0: cost 1 inf + 0 9.268 * * [simplify]: Extracting #1: cost 4 inf + 0 9.268 * * [simplify]: Extracting #2: cost 8 inf + 0 9.268 * * [simplify]: Extracting #3: cost 22 inf + 0 9.268 * * [simplify]: Extracting #4: cost 35 inf + 1 9.269 * * [simplify]: Extracting #5: cost 31 inf + 207 9.269 * * [simplify]: Extracting #6: cost 22 inf + 1462 9.270 * * [simplify]: Extracting #7: cost 4 inf + 5898 9.272 * * [simplify]: Extracting #8: cost 0 inf + 7186 9.273 * [simplify]: Simplified to (* (sqrt (+ (+ (* re re) (* im im)) (+ (* (sqrt (+ (* re re) (* im im))) re) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 9.273 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (fabs im)) (* (sqrt (+ (+ (* re re) (* im im)) (+ (* (sqrt (+ (* re re) (* im im))) re) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) 9.274 * * * * [progress]: [ 56 / 131 ] simplifiying candidate # 9.274 * [simplify]: Simplifying (* (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 9.274 * * [simplify]: iters left: 6 (10 enodes) 9.276 * * [simplify]: iters left: 5 (32 enodes) 9.281 * * [simplify]: iters left: 4 (54 enodes) 9.291 * * [simplify]: iters left: 3 (76 enodes) 9.316 * * [simplify]: iters left: 2 (133 enodes) 9.399 * * [simplify]: iters left: 1 (352 enodes) 9.783 * * [simplify]: Extracting #0: cost 1 inf + 0 9.783 * * [simplify]: Extracting #1: cost 87 inf + 0 9.786 * * [simplify]: Extracting #2: cost 367 inf + 2 9.790 * * [simplify]: Extracting #3: cost 340 inf + 4015 9.804 * * [simplify]: Extracting #4: cost 195 inf + 37224 9.845 * * [simplify]: Extracting #5: cost 14 inf + 96536 9.893 * * [simplify]: Extracting #6: cost 0 inf + 101486 9.940 * [simplify]: Simplified to (* im im) 9.940 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) 9.940 * [simplify]: Simplifying (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 9.941 * * [simplify]: iters left: 6 (9 enodes) 9.945 * * [simplify]: iters left: 5 (27 enodes) 9.952 * * [simplify]: iters left: 4 (28 enodes) 9.959 * * [simplify]: Extracting #0: cost 1 inf + 0 9.959 * * [simplify]: Extracting #1: cost 5 inf + 0 9.959 * * [simplify]: Extracting #2: cost 7 inf + 1 9.959 * * [simplify]: Extracting #3: cost 10 inf + 1 9.959 * * [simplify]: Extracting #4: cost 12 inf + 42 9.959 * * [simplify]: Extracting #5: cost 8 inf + 166 9.960 * * [simplify]: Extracting #6: cost 5 inf + 572 9.960 * * [simplify]: Extracting #7: cost 2 inf + 1178 9.961 * * [simplify]: Extracting #8: cost 0 inf + 1622 9.961 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 9.961 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) 9.961 * * * * [progress]: [ 57 / 131 ] simplifiying candidate # 9.962 * * * * [progress]: [ 58 / 131 ] simplifiying candidate # 9.962 * [simplify]: Simplifying (* (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 9.962 * * [simplify]: iters left: 6 (11 enodes) 9.967 * * [simplify]: iters left: 5 (40 enodes) 9.977 * * [simplify]: iters left: 4 (47 enodes) 9.984 * * [simplify]: iters left: 3 (58 enodes) 9.994 * * [simplify]: iters left: 2 (82 enodes) 10.009 * * [simplify]: iters left: 1 (130 enodes) 10.053 * * [simplify]: Extracting #0: cost 1 inf + 0 10.053 * * [simplify]: Extracting #1: cost 13 inf + 0 10.054 * * [simplify]: Extracting #2: cost 40 inf + 1 10.054 * * [simplify]: Extracting #3: cost 42 inf + 7 10.054 * * [simplify]: Extracting #4: cost 43 inf + 10 10.054 * * [simplify]: Extracting #5: cost 43 inf + 93 10.054 * * [simplify]: Extracting #6: cost 45 inf + 134 10.054 * * [simplify]: Extracting #7: cost 36 inf + 1028 10.055 * * [simplify]: Extracting #8: cost 30 inf + 2931 10.057 * * [simplify]: Extracting #9: cost 15 inf + 10704 10.059 * * [simplify]: Extracting #10: cost 3 inf + 19148 10.062 * * [simplify]: Extracting #11: cost 0 inf + 21671 10.065 * [simplify]: Simplified to (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.065 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.066 * [simplify]: Simplifying (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.066 * * [simplify]: iters left: 6 (10 enodes) 10.068 * * [simplify]: iters left: 5 (33 enodes) 10.072 * * [simplify]: iters left: 4 (36 enodes) 10.077 * * [simplify]: Extracting #0: cost 1 inf + 0 10.077 * * [simplify]: Extracting #1: cost 3 inf + 0 10.077 * * [simplify]: Extracting #2: cost 5 inf + 0 10.077 * * [simplify]: Extracting #3: cost 7 inf + 0 10.077 * * [simplify]: Extracting #4: cost 11 inf + 0 10.077 * * [simplify]: Extracting #5: cost 13 inf + 1 10.077 * * [simplify]: Extracting #6: cost 14 inf + 83 10.077 * * [simplify]: Extracting #7: cost 16 inf + 124 10.077 * * [simplify]: Extracting #8: cost 13 inf + 207 10.077 * * [simplify]: Extracting #9: cost 9 inf + 654 10.077 * * [simplify]: Extracting #10: cost 4 inf + 1704 10.078 * * [simplify]: Extracting #11: cost 0 inf + 3072 10.078 * [simplify]: Simplified to (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.078 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.079 * * * * [progress]: [ 59 / 131 ] simplifiying candidate # 10.079 * [simplify]: Simplifying (* (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 10.079 * * [simplify]: iters left: 6 (11 enodes) 10.081 * * [simplify]: iters left: 5 (35 enodes) 10.086 * * [simplify]: iters left: 4 (39 enodes) 10.096 * * [simplify]: Extracting #0: cost 1 inf + 0 10.096 * * [simplify]: Extracting #1: cost 4 inf + 0 10.096 * * [simplify]: Extracting #2: cost 7 inf + 0 10.096 * * [simplify]: Extracting #3: cost 11 inf + 0 10.096 * * [simplify]: Extracting #4: cost 13 inf + 1 10.096 * * [simplify]: Extracting #5: cost 15 inf + 42 10.096 * * [simplify]: Extracting #6: cost 16 inf + 124 10.096 * * [simplify]: Extracting #7: cost 13 inf + 207 10.097 * * [simplify]: Extracting #8: cost 8 inf + 816 10.097 * * [simplify]: Extracting #9: cost 2 inf + 2428 10.098 * * [simplify]: Extracting #10: cost 0 inf + 3072 10.099 * [simplify]: Simplified to (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 10.099 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.100 * [simplify]: Simplifying (* (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.100 * * [simplify]: iters left: 6 (10 enodes) 10.104 * * [simplify]: iters left: 5 (31 enodes) 10.113 * * [simplify]: iters left: 4 (35 enodes) 10.122 * * [simplify]: Extracting #0: cost 1 inf + 0 10.122 * * [simplify]: Extracting #1: cost 4 inf + 0 10.123 * * [simplify]: Extracting #2: cost 9 inf + 0 10.123 * * [simplify]: Extracting #3: cost 11 inf + 1 10.123 * * [simplify]: Extracting #4: cost 13 inf + 42 10.123 * * [simplify]: Extracting #5: cost 14 inf + 124 10.123 * * [simplify]: Extracting #6: cost 11 inf + 207 10.123 * * [simplify]: Extracting #7: cost 7 inf + 654 10.124 * * [simplify]: Extracting #8: cost 2 inf + 1784 10.124 * * [simplify]: Extracting #9: cost 0 inf + 2428 10.125 * [simplify]: Simplified to (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 10.125 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.125 * * * * [progress]: [ 60 / 131 ] simplifiying candidate # 10.126 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.126 * * [simplify]: iters left: 6 (10 enodes) 10.132 * * [simplify]: iters left: 5 (31 enodes) 10.141 * * [simplify]: iters left: 4 (35 enodes) 10.149 * * [simplify]: Extracting #0: cost 1 inf + 0 10.149 * * [simplify]: Extracting #1: cost 4 inf + 0 10.150 * * [simplify]: Extracting #2: cost 9 inf + 0 10.150 * * [simplify]: Extracting #3: cost 11 inf + 1 10.150 * * [simplify]: Extracting #4: cost 13 inf + 42 10.150 * * [simplify]: Extracting #5: cost 14 inf + 124 10.150 * * [simplify]: Extracting #6: cost 11 inf + 207 10.150 * * [simplify]: Extracting #7: cost 7 inf + 654 10.151 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.151 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.152 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.152 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.153 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.153 * * [simplify]: iters left: 6 (10 enodes) 10.157 * * [simplify]: iters left: 5 (31 enodes) 10.162 * * [simplify]: iters left: 4 (35 enodes) 10.166 * * [simplify]: Extracting #0: cost 1 inf + 0 10.166 * * [simplify]: Extracting #1: cost 4 inf + 0 10.166 * * [simplify]: Extracting #2: cost 9 inf + 0 10.166 * * [simplify]: Extracting #3: cost 11 inf + 1 10.166 * * [simplify]: Extracting #4: cost 13 inf + 42 10.166 * * [simplify]: Extracting #5: cost 14 inf + 124 10.166 * * [simplify]: Extracting #6: cost 11 inf + 207 10.166 * * [simplify]: Extracting #7: cost 7 inf + 654 10.167 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.167 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.167 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.167 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.168 * * * * [progress]: [ 61 / 131 ] simplifiying candidate # 10.168 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.168 * * [simplify]: iters left: 6 (10 enodes) 10.170 * * [simplify]: iters left: 5 (31 enodes) 10.174 * * [simplify]: iters left: 4 (35 enodes) 10.178 * * [simplify]: Extracting #0: cost 1 inf + 0 10.178 * * [simplify]: Extracting #1: cost 4 inf + 0 10.178 * * [simplify]: Extracting #2: cost 9 inf + 0 10.178 * * [simplify]: Extracting #3: cost 11 inf + 1 10.178 * * [simplify]: Extracting #4: cost 13 inf + 42 10.178 * * [simplify]: Extracting #5: cost 14 inf + 124 10.179 * * [simplify]: Extracting #6: cost 11 inf + 207 10.179 * * [simplify]: Extracting #7: cost 7 inf + 654 10.179 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.179 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.180 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.180 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.180 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.180 * * [simplify]: iters left: 6 (10 enodes) 10.182 * * [simplify]: iters left: 5 (31 enodes) 10.186 * * [simplify]: iters left: 4 (35 enodes) 10.191 * * [simplify]: Extracting #0: cost 1 inf + 0 10.191 * * [simplify]: Extracting #1: cost 4 inf + 0 10.191 * * [simplify]: Extracting #2: cost 9 inf + 0 10.191 * * [simplify]: Extracting #3: cost 11 inf + 1 10.191 * * [simplify]: Extracting #4: cost 13 inf + 42 10.191 * * [simplify]: Extracting #5: cost 14 inf + 124 10.191 * * [simplify]: Extracting #6: cost 11 inf + 207 10.191 * * [simplify]: Extracting #7: cost 7 inf + 654 10.192 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.192 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.192 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.192 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.193 * * * * [progress]: [ 62 / 131 ] simplifiying candidate # 10.193 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 10.193 * * [simplify]: iters left: 3 (3 enodes) 10.195 * * [simplify]: iters left: 2 (9 enodes) 10.196 * * [simplify]: iters left: 1 (11 enodes) 10.198 * * [simplify]: Extracting #0: cost 1 inf + 0 10.198 * * [simplify]: Extracting #1: cost 0 inf + 1 10.198 * [simplify]: Simplified to 1 10.198 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.198 * [simplify]: Simplifying (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.198 * * [simplify]: iters left: 6 (9 enodes) 10.200 * * [simplify]: iters left: 5 (28 enodes) 10.204 * * [simplify]: iters left: 4 (32 enodes) 10.208 * * [simplify]: Extracting #0: cost 1 inf + 0 10.208 * * [simplify]: Extracting #1: cost 6 inf + 0 10.208 * * [simplify]: Extracting #2: cost 9 inf + 1 10.208 * * [simplify]: Extracting #3: cost 10 inf + 83 10.208 * * [simplify]: Extracting #4: cost 12 inf + 124 10.208 * * [simplify]: Extracting #5: cost 8 inf + 248 10.208 * * [simplify]: Extracting #6: cost 6 inf + 532 10.208 * * [simplify]: Extracting #7: cost 2 inf + 1260 10.209 * * [simplify]: Extracting #8: cost 0 inf + 1704 10.209 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 10.209 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 10.209 * * * * [progress]: [ 63 / 131 ] simplifiying candidate # 10.209 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 10.209 * * [simplify]: iters left: 3 (3 enodes) 10.212 * * [simplify]: iters left: 2 (9 enodes) 10.214 * * [simplify]: iters left: 1 (11 enodes) 10.215 * * [simplify]: Extracting #0: cost 1 inf + 0 10.215 * * [simplify]: Extracting #1: cost 0 inf + 1 10.215 * [simplify]: Simplified to 1 10.215 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.216 * [simplify]: Simplifying (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.216 * * [simplify]: iters left: 6 (9 enodes) 10.218 * * [simplify]: iters left: 5 (28 enodes) 10.223 * * [simplify]: iters left: 4 (32 enodes) 10.227 * * [simplify]: Extracting #0: cost 1 inf + 0 10.227 * * [simplify]: Extracting #1: cost 6 inf + 0 10.227 * * [simplify]: Extracting #2: cost 9 inf + 1 10.227 * * [simplify]: Extracting #3: cost 10 inf + 83 10.227 * * [simplify]: Extracting #4: cost 12 inf + 124 10.227 * * [simplify]: Extracting #5: cost 8 inf + 248 10.228 * * [simplify]: Extracting #6: cost 6 inf + 532 10.228 * * [simplify]: Extracting #7: cost 2 inf + 1260 10.229 * * [simplify]: Extracting #8: cost 0 inf + 1704 10.229 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 10.229 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 10.230 * * * * [progress]: [ 64 / 131 ] simplifiying candidate # 10.230 * [simplify]: Simplifying (* (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.230 * * [simplify]: iters left: 6 (11 enodes) 10.235 * * [simplify]: iters left: 5 (33 enodes) 10.244 * * [simplify]: iters left: 4 (34 enodes) 10.252 * * [simplify]: Extracting #0: cost 1 inf + 0 10.252 * * [simplify]: Extracting #1: cost 5 inf + 0 10.252 * * [simplify]: Extracting #2: cost 10 inf + 0 10.252 * * [simplify]: Extracting #3: cost 11 inf + 1 10.252 * * [simplify]: Extracting #4: cost 12 inf + 83 10.253 * * [simplify]: Extracting #5: cost 14 inf + 124 10.253 * * [simplify]: Extracting #6: cost 10 inf + 248 10.253 * * [simplify]: Extracting #7: cost 8 inf + 532 10.254 * * [simplify]: Extracting #8: cost 2 inf + 1904 10.254 * * [simplify]: Extracting #9: cost 0 inf + 2428 10.255 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 10.255 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 10.256 * [simplify]: Simplifying (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.256 * * [simplify]: iters left: 6 (11 enodes) 10.261 * * [simplify]: iters left: 5 (34 enodes) 10.270 * * [simplify]: iters left: 4 (38 enodes) 10.279 * * [simplify]: Extracting #0: cost 1 inf + 0 10.279 * * [simplify]: Extracting #1: cost 6 inf + 0 10.279 * * [simplify]: Extracting #2: cost 12 inf + 0 10.279 * * [simplify]: Extracting #3: cost 13 inf + 1 10.279 * * [simplify]: Extracting #4: cost 14 inf + 123 10.280 * * [simplify]: Extracting #5: cost 14 inf + 286 10.280 * * [simplify]: Extracting #6: cost 11 inf + 369 10.280 * * [simplify]: Extracting #7: cost 8 inf + 694 10.281 * * [simplify]: Extracting #8: cost 1 inf + 2268 10.282 * * [simplify]: Extracting #9: cost 0 inf + 2590 10.282 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 10.283 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 10.283 * * * * [progress]: [ 65 / 131 ] simplifiying candidate # 10.283 * [simplify]: Simplifying (* (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.283 * * [simplify]: iters left: 6 (11 enodes) 10.288 * * [simplify]: iters left: 5 (33 enodes) 10.297 * * [simplify]: iters left: 4 (34 enodes) 10.305 * * [simplify]: Extracting #0: cost 1 inf + 0 10.305 * * [simplify]: Extracting #1: cost 5 inf + 0 10.305 * * [simplify]: Extracting #2: cost 10 inf + 0 10.305 * * [simplify]: Extracting #3: cost 11 inf + 1 10.305 * * [simplify]: Extracting #4: cost 12 inf + 83 10.306 * * [simplify]: Extracting #5: cost 14 inf + 124 10.306 * * [simplify]: Extracting #6: cost 10 inf + 248 10.306 * * [simplify]: Extracting #7: cost 8 inf + 532 10.307 * * [simplify]: Extracting #8: cost 2 inf + 1904 10.307 * * [simplify]: Extracting #9: cost 0 inf + 2428 10.308 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 10.308 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 10.309 * [simplify]: Simplifying (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.309 * * [simplify]: iters left: 6 (11 enodes) 10.313 * * [simplify]: iters left: 5 (34 enodes) 10.318 * * [simplify]: iters left: 4 (38 enodes) 10.323 * * [simplify]: Extracting #0: cost 1 inf + 0 10.323 * * [simplify]: Extracting #1: cost 6 inf + 0 10.323 * * [simplify]: Extracting #2: cost 12 inf + 0 10.323 * * [simplify]: Extracting #3: cost 13 inf + 1 10.323 * * [simplify]: Extracting #4: cost 14 inf + 123 10.323 * * [simplify]: Extracting #5: cost 14 inf + 286 10.323 * * [simplify]: Extracting #6: cost 11 inf + 369 10.323 * * [simplify]: Extracting #7: cost 8 inf + 694 10.323 * * [simplify]: Extracting #8: cost 1 inf + 2268 10.324 * * [simplify]: Extracting #9: cost 0 inf + 2590 10.324 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 10.324 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 10.325 * * * * [progress]: [ 66 / 131 ] simplifiying candidate # 10.325 * [simplify]: Simplifying (* (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.325 * * [simplify]: iters left: 6 (11 enodes) 10.327 * * [simplify]: iters left: 5 (33 enodes) 10.331 * * [simplify]: iters left: 4 (34 enodes) 10.335 * * [simplify]: Extracting #0: cost 1 inf + 0 10.335 * * [simplify]: Extracting #1: cost 5 inf + 0 10.335 * * [simplify]: Extracting #2: cost 10 inf + 0 10.335 * * [simplify]: Extracting #3: cost 11 inf + 1 10.335 * * [simplify]: Extracting #4: cost 12 inf + 83 10.335 * * [simplify]: Extracting #5: cost 14 inf + 124 10.335 * * [simplify]: Extracting #6: cost 10 inf + 248 10.336 * * [simplify]: Extracting #7: cost 8 inf + 532 10.336 * * [simplify]: Extracting #8: cost 2 inf + 1904 10.336 * * [simplify]: Extracting #9: cost 0 inf + 2428 10.337 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 10.337 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 10.338 * [simplify]: Simplifying (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.338 * * [simplify]: iters left: 6 (11 enodes) 10.340 * * [simplify]: iters left: 5 (34 enodes) 10.345 * * [simplify]: iters left: 4 (38 enodes) 10.350 * * [simplify]: Extracting #0: cost 1 inf + 0 10.350 * * [simplify]: Extracting #1: cost 6 inf + 0 10.350 * * [simplify]: Extracting #2: cost 12 inf + 0 10.350 * * [simplify]: Extracting #3: cost 13 inf + 1 10.350 * * [simplify]: Extracting #4: cost 14 inf + 123 10.350 * * [simplify]: Extracting #5: cost 14 inf + 286 10.350 * * [simplify]: Extracting #6: cost 11 inf + 369 10.350 * * [simplify]: Extracting #7: cost 8 inf + 694 10.351 * * [simplify]: Extracting #8: cost 1 inf + 2268 10.351 * * [simplify]: Extracting #9: cost 0 inf + 2590 10.352 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 10.352 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 10.352 * * * * [progress]: [ 67 / 131 ] simplifiying candidate # 10.352 * [simplify]: Simplifying (* (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.352 * * [simplify]: iters left: 6 (11 enodes) 10.354 * * [simplify]: iters left: 5 (33 enodes) 10.363 * * [simplify]: iters left: 4 (34 enodes) 10.371 * * [simplify]: Extracting #0: cost 1 inf + 0 10.371 * * [simplify]: Extracting #1: cost 5 inf + 0 10.371 * * [simplify]: Extracting #2: cost 10 inf + 0 10.371 * * [simplify]: Extracting #3: cost 11 inf + 1 10.372 * * [simplify]: Extracting #4: cost 12 inf + 83 10.372 * * [simplify]: Extracting #5: cost 14 inf + 124 10.372 * * [simplify]: Extracting #6: cost 10 inf + 248 10.372 * * [simplify]: Extracting #7: cost 8 inf + 532 10.373 * * [simplify]: Extracting #8: cost 2 inf + 1904 10.374 * * [simplify]: Extracting #9: cost 0 inf + 2428 10.374 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 10.375 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 10.375 * [simplify]: Simplifying (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 10.375 * * [simplify]: iters left: 6 (11 enodes) 10.380 * * [simplify]: iters left: 5 (34 enodes) 10.385 * * [simplify]: iters left: 4 (38 enodes) 10.390 * * [simplify]: Extracting #0: cost 1 inf + 0 10.390 * * [simplify]: Extracting #1: cost 6 inf + 0 10.390 * * [simplify]: Extracting #2: cost 12 inf + 0 10.390 * * [simplify]: Extracting #3: cost 13 inf + 1 10.390 * * [simplify]: Extracting #4: cost 14 inf + 123 10.391 * * [simplify]: Extracting #5: cost 14 inf + 286 10.391 * * [simplify]: Extracting #6: cost 11 inf + 369 10.391 * * [simplify]: Extracting #7: cost 8 inf + 694 10.391 * * [simplify]: Extracting #8: cost 1 inf + 2268 10.392 * * [simplify]: Extracting #9: cost 0 inf + 2590 10.392 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 10.392 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 10.392 * * * * [progress]: [ 68 / 131 ] simplifiying candidate # 10.392 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 10.392 * * [simplify]: iters left: 3 (3 enodes) 10.395 * * [simplify]: iters left: 2 (9 enodes) 10.396 * * [simplify]: iters left: 1 (11 enodes) 10.398 * * [simplify]: Extracting #0: cost 1 inf + 0 10.398 * * [simplify]: Extracting #1: cost 0 inf + 1 10.398 * [simplify]: Simplified to 1 10.398 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.398 * [simplify]: Simplifying (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.398 * * [simplify]: iters left: 6 (9 enodes) 10.400 * * [simplify]: iters left: 5 (28 enodes) 10.404 * * [simplify]: iters left: 4 (32 enodes) 10.407 * * [simplify]: Extracting #0: cost 1 inf + 0 10.407 * * [simplify]: Extracting #1: cost 6 inf + 0 10.407 * * [simplify]: Extracting #2: cost 9 inf + 1 10.407 * * [simplify]: Extracting #3: cost 10 inf + 83 10.408 * * [simplify]: Extracting #4: cost 12 inf + 124 10.408 * * [simplify]: Extracting #5: cost 8 inf + 248 10.408 * * [simplify]: Extracting #6: cost 6 inf + 532 10.408 * * [simplify]: Extracting #7: cost 2 inf + 1260 10.408 * * [simplify]: Extracting #8: cost 0 inf + 1704 10.409 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 10.409 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 10.409 * * * * [progress]: [ 69 / 131 ] simplifiying candidate # 10.409 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 10.409 * * [simplify]: iters left: 3 (3 enodes) 10.411 * * [simplify]: iters left: 2 (9 enodes) 10.413 * * [simplify]: iters left: 1 (11 enodes) 10.414 * * [simplify]: Extracting #0: cost 1 inf + 0 10.414 * * [simplify]: Extracting #1: cost 0 inf + 1 10.414 * [simplify]: Simplified to 1 10.415 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.415 * [simplify]: Simplifying (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.415 * * [simplify]: iters left: 6 (9 enodes) 10.417 * * [simplify]: iters left: 5 (28 enodes) 10.423 * * [simplify]: iters left: 4 (32 enodes) 10.431 * * [simplify]: Extracting #0: cost 1 inf + 0 10.431 * * [simplify]: Extracting #1: cost 6 inf + 0 10.431 * * [simplify]: Extracting #2: cost 9 inf + 1 10.431 * * [simplify]: Extracting #3: cost 10 inf + 83 10.431 * * [simplify]: Extracting #4: cost 12 inf + 124 10.432 * * [simplify]: Extracting #5: cost 8 inf + 248 10.432 * * [simplify]: Extracting #6: cost 6 inf + 532 10.432 * * [simplify]: Extracting #7: cost 2 inf + 1260 10.433 * * [simplify]: Extracting #8: cost 0 inf + 1704 10.434 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 10.434 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 10.434 * * * * [progress]: [ 70 / 131 ] simplifiying candidate # 10.434 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.434 * * [simplify]: iters left: 6 (10 enodes) 10.440 * * [simplify]: iters left: 5 (31 enodes) 10.447 * * [simplify]: iters left: 4 (35 enodes) 10.452 * * [simplify]: Extracting #0: cost 1 inf + 0 10.452 * * [simplify]: Extracting #1: cost 4 inf + 0 10.452 * * [simplify]: Extracting #2: cost 9 inf + 0 10.452 * * [simplify]: Extracting #3: cost 11 inf + 1 10.452 * * [simplify]: Extracting #4: cost 13 inf + 42 10.452 * * [simplify]: Extracting #5: cost 14 inf + 124 10.452 * * [simplify]: Extracting #6: cost 11 inf + 207 10.452 * * [simplify]: Extracting #7: cost 7 inf + 654 10.453 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.453 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.453 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.453 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.454 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.454 * * [simplify]: iters left: 6 (10 enodes) 10.456 * * [simplify]: iters left: 5 (31 enodes) 10.460 * * [simplify]: iters left: 4 (35 enodes) 10.464 * * [simplify]: Extracting #0: cost 1 inf + 0 10.464 * * [simplify]: Extracting #1: cost 4 inf + 0 10.464 * * [simplify]: Extracting #2: cost 9 inf + 0 10.464 * * [simplify]: Extracting #3: cost 11 inf + 1 10.464 * * [simplify]: Extracting #4: cost 13 inf + 42 10.464 * * [simplify]: Extracting #5: cost 14 inf + 124 10.464 * * [simplify]: Extracting #6: cost 11 inf + 207 10.464 * * [simplify]: Extracting #7: cost 7 inf + 654 10.465 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.465 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.465 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.465 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.465 * * * * [progress]: [ 71 / 131 ] simplifiying candidate # 10.466 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.466 * * [simplify]: iters left: 6 (10 enodes) 10.468 * * [simplify]: iters left: 5 (31 enodes) 10.472 * * [simplify]: iters left: 4 (35 enodes) 10.476 * * [simplify]: Extracting #0: cost 1 inf + 0 10.476 * * [simplify]: Extracting #1: cost 4 inf + 0 10.476 * * [simplify]: Extracting #2: cost 9 inf + 0 10.476 * * [simplify]: Extracting #3: cost 11 inf + 1 10.476 * * [simplify]: Extracting #4: cost 13 inf + 42 10.476 * * [simplify]: Extracting #5: cost 14 inf + 124 10.476 * * [simplify]: Extracting #6: cost 11 inf + 207 10.477 * * [simplify]: Extracting #7: cost 7 inf + 654 10.477 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.477 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.478 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.478 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.478 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.478 * * [simplify]: iters left: 6 (10 enodes) 10.480 * * [simplify]: iters left: 5 (31 enodes) 10.484 * * [simplify]: iters left: 4 (35 enodes) 10.490 * * [simplify]: Extracting #0: cost 1 inf + 0 10.490 * * [simplify]: Extracting #1: cost 4 inf + 0 10.490 * * [simplify]: Extracting #2: cost 9 inf + 0 10.490 * * [simplify]: Extracting #3: cost 11 inf + 1 10.491 * * [simplify]: Extracting #4: cost 13 inf + 42 10.491 * * [simplify]: Extracting #5: cost 14 inf + 124 10.491 * * [simplify]: Extracting #6: cost 11 inf + 207 10.491 * * [simplify]: Extracting #7: cost 7 inf + 654 10.492 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.492 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.493 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.493 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.493 * * * * [progress]: [ 72 / 131 ] simplifiying candidate # 10.494 * [simplify]: Simplifying (* 1 1) 10.494 * * [simplify]: iters left: 2 (2 enodes) 10.495 * * [simplify]: iters left: 1 (6 enodes) 10.497 * * [simplify]: Extracting #0: cost 1 inf + 0 10.497 * * [simplify]: Extracting #1: cost 0 inf + 1 10.497 * [simplify]: Simplified to 1 10.498 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.498 * [simplify]: Simplifying (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.498 * * [simplify]: iters left: 6 (9 enodes) 10.502 * * [simplify]: iters left: 5 (28 enodes) 10.510 * * [simplify]: iters left: 4 (32 enodes) 10.518 * * [simplify]: Extracting #0: cost 1 inf + 0 10.518 * * [simplify]: Extracting #1: cost 6 inf + 0 10.518 * * [simplify]: Extracting #2: cost 9 inf + 1 10.519 * * [simplify]: Extracting #3: cost 10 inf + 83 10.519 * * [simplify]: Extracting #4: cost 12 inf + 124 10.519 * * [simplify]: Extracting #5: cost 8 inf + 248 10.519 * * [simplify]: Extracting #6: cost 6 inf + 532 10.520 * * [simplify]: Extracting #7: cost 2 inf + 1260 10.520 * * [simplify]: Extracting #8: cost 0 inf + 1704 10.521 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 10.521 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 10.521 * * * * [progress]: [ 73 / 131 ] simplifiying candidate # 10.521 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.522 * * [simplify]: iters left: 6 (10 enodes) 10.526 * * [simplify]: iters left: 5 (31 enodes) 10.534 * * [simplify]: iters left: 4 (35 enodes) 10.543 * * [simplify]: Extracting #0: cost 1 inf + 0 10.543 * * [simplify]: Extracting #1: cost 4 inf + 0 10.543 * * [simplify]: Extracting #2: cost 9 inf + 0 10.543 * * [simplify]: Extracting #3: cost 11 inf + 1 10.543 * * [simplify]: Extracting #4: cost 13 inf + 42 10.543 * * [simplify]: Extracting #5: cost 14 inf + 124 10.544 * * [simplify]: Extracting #6: cost 11 inf + 207 10.544 * * [simplify]: Extracting #7: cost 7 inf + 654 10.544 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.547 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.547 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.547 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.548 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.548 * * [simplify]: iters left: 6 (10 enodes) 10.553 * * [simplify]: iters left: 5 (31 enodes) 10.561 * * [simplify]: iters left: 4 (35 enodes) 10.570 * * [simplify]: Extracting #0: cost 1 inf + 0 10.570 * * [simplify]: Extracting #1: cost 4 inf + 0 10.570 * * [simplify]: Extracting #2: cost 9 inf + 0 10.570 * * [simplify]: Extracting #3: cost 11 inf + 1 10.570 * * [simplify]: Extracting #4: cost 13 inf + 42 10.571 * * [simplify]: Extracting #5: cost 14 inf + 124 10.571 * * [simplify]: Extracting #6: cost 11 inf + 207 10.571 * * [simplify]: Extracting #7: cost 7 inf + 654 10.571 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.572 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.573 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.573 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.573 * * * * [progress]: [ 74 / 131 ] simplifiying candidate # 10.574 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.574 * * [simplify]: iters left: 6 (10 enodes) 10.578 * * [simplify]: iters left: 5 (31 enodes) 10.586 * * [simplify]: iters left: 4 (35 enodes) 10.596 * * [simplify]: Extracting #0: cost 1 inf + 0 10.596 * * [simplify]: Extracting #1: cost 4 inf + 0 10.596 * * [simplify]: Extracting #2: cost 9 inf + 0 10.596 * * [simplify]: Extracting #3: cost 11 inf + 1 10.596 * * [simplify]: Extracting #4: cost 13 inf + 42 10.596 * * [simplify]: Extracting #5: cost 14 inf + 124 10.596 * * [simplify]: Extracting #6: cost 11 inf + 207 10.597 * * [simplify]: Extracting #7: cost 7 inf + 654 10.597 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.598 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.599 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.599 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.599 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.599 * * [simplify]: iters left: 6 (10 enodes) 10.604 * * [simplify]: iters left: 5 (31 enodes) 10.612 * * [simplify]: iters left: 4 (35 enodes) 10.621 * * [simplify]: Extracting #0: cost 1 inf + 0 10.621 * * [simplify]: Extracting #1: cost 4 inf + 0 10.621 * * [simplify]: Extracting #2: cost 9 inf + 0 10.621 * * [simplify]: Extracting #3: cost 11 inf + 1 10.621 * * [simplify]: Extracting #4: cost 13 inf + 42 10.621 * * [simplify]: Extracting #5: cost 14 inf + 124 10.622 * * [simplify]: Extracting #6: cost 11 inf + 207 10.622 * * [simplify]: Extracting #7: cost 7 inf + 654 10.622 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.623 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.624 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.624 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.624 * * * * [progress]: [ 75 / 131 ] simplifiying candidate # 10.625 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.625 * * [simplify]: iters left: 6 (10 enodes) 10.629 * * [simplify]: iters left: 5 (31 enodes) 10.638 * * [simplify]: iters left: 4 (35 enodes) 10.647 * * [simplify]: Extracting #0: cost 1 inf + 0 10.647 * * [simplify]: Extracting #1: cost 4 inf + 0 10.647 * * [simplify]: Extracting #2: cost 9 inf + 0 10.647 * * [simplify]: Extracting #3: cost 11 inf + 1 10.648 * * [simplify]: Extracting #4: cost 13 inf + 42 10.648 * * [simplify]: Extracting #5: cost 14 inf + 124 10.648 * * [simplify]: Extracting #6: cost 11 inf + 207 10.648 * * [simplify]: Extracting #7: cost 7 inf + 654 10.649 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.649 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.650 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.651 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.651 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.651 * * [simplify]: iters left: 6 (10 enodes) 10.655 * * [simplify]: iters left: 5 (31 enodes) 10.664 * * [simplify]: iters left: 4 (35 enodes) 10.672 * * [simplify]: Extracting #0: cost 1 inf + 0 10.672 * * [simplify]: Extracting #1: cost 4 inf + 0 10.673 * * [simplify]: Extracting #2: cost 9 inf + 0 10.673 * * [simplify]: Extracting #3: cost 11 inf + 1 10.673 * * [simplify]: Extracting #4: cost 13 inf + 42 10.673 * * [simplify]: Extracting #5: cost 14 inf + 124 10.673 * * [simplify]: Extracting #6: cost 11 inf + 207 10.673 * * [simplify]: Extracting #7: cost 7 inf + 654 10.674 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.675 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.675 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.675 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.676 * * * * [progress]: [ 76 / 131 ] simplifiying candidate # 10.676 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.676 * * [simplify]: iters left: 6 (10 enodes) 10.680 * * [simplify]: iters left: 5 (31 enodes) 10.689 * * [simplify]: iters left: 4 (35 enodes) 10.700 * * [simplify]: Extracting #0: cost 1 inf + 0 10.700 * * [simplify]: Extracting #1: cost 4 inf + 0 10.700 * * [simplify]: Extracting #2: cost 9 inf + 0 10.700 * * [simplify]: Extracting #3: cost 11 inf + 1 10.700 * * [simplify]: Extracting #4: cost 13 inf + 42 10.700 * * [simplify]: Extracting #5: cost 14 inf + 124 10.700 * * [simplify]: Extracting #6: cost 11 inf + 207 10.701 * * [simplify]: Extracting #7: cost 7 inf + 654 10.702 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.702 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.703 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.703 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))) 10.704 * [simplify]: Simplifying (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 10.704 * * [simplify]: iters left: 6 (10 enodes) 10.708 * * [simplify]: iters left: 5 (31 enodes) 10.716 * * [simplify]: iters left: 4 (35 enodes) 10.725 * * [simplify]: Extracting #0: cost 1 inf + 0 10.725 * * [simplify]: Extracting #1: cost 4 inf + 0 10.726 * * [simplify]: Extracting #2: cost 9 inf + 0 10.726 * * [simplify]: Extracting #3: cost 11 inf + 1 10.726 * * [simplify]: Extracting #4: cost 13 inf + 42 10.726 * * [simplify]: Extracting #5: cost 14 inf + 124 10.726 * * [simplify]: Extracting #6: cost 11 inf + 207 10.726 * * [simplify]: Extracting #7: cost 7 inf + 654 10.727 * * [simplify]: Extracting #8: cost 2 inf + 1704 10.728 * * [simplify]: Extracting #9: cost 0 inf + 2268 10.728 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.728 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.729 * * * * [progress]: [ 77 / 131 ] simplifiying candidate # 10.729 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 10.729 * * [simplify]: iters left: 6 (7 enodes) 10.732 * * [simplify]: iters left: 5 (24 enodes) 10.739 * * [simplify]: iters left: 4 (27 enodes) 10.746 * * [simplify]: Extracting #0: cost 1 inf + 0 10.746 * * [simplify]: Extracting #1: cost 5 inf + 0 10.746 * * [simplify]: Extracting #2: cost 7 inf + 1 10.746 * * [simplify]: Extracting #3: cost 8 inf + 83 10.746 * * [simplify]: Extracting #4: cost 10 inf + 124 10.746 * * [simplify]: Extracting #5: cost 6 inf + 248 10.747 * * [simplify]: Extracting #6: cost 3 inf + 654 10.747 * * [simplify]: Extracting #7: cost 1 inf + 1018 10.747 * * [simplify]: Extracting #8: cost 0 inf + 1220 10.748 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 10.748 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) (* 2 1/2)))))) 10.748 * [simplify]: Simplifying (* 2 1/2) 10.748 * * [simplify]: iters left: 2 (3 enodes) 10.753 * * [simplify]: iters left: 1 (11 enodes) 10.756 * * [simplify]: Extracting #0: cost 1 inf + 0 10.756 * * [simplify]: Extracting #1: cost 0 inf + 1 10.756 * [simplify]: Simplified to 1 10.756 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1))))) 10.756 * * * * [progress]: [ 78 / 131 ] simplifiying candidate # 10.757 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.757 * * [simplify]: iters left: 6 (8 enodes) 10.760 * * [simplify]: iters left: 5 (27 enodes) 10.768 * * [simplify]: iters left: 4 (30 enodes) 10.776 * * [simplify]: Extracting #0: cost 1 inf + 0 10.776 * * [simplify]: Extracting #1: cost 3 inf + 0 10.776 * * [simplify]: Extracting #2: cost 7 inf + 0 10.776 * * [simplify]: Extracting #3: cost 9 inf + 1 10.776 * * [simplify]: Extracting #4: cost 10 inf + 83 10.776 * * [simplify]: Extracting #5: cost 12 inf + 124 10.776 * * [simplify]: Extracting #6: cost 9 inf + 207 10.777 * * [simplify]: Extracting #7: cost 5 inf + 654 10.777 * * [simplify]: Extracting #8: cost 1 inf + 1462 10.778 * * [simplify]: Extracting #9: cost 0 inf + 1704 10.778 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.779 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* 2 1)))))) 10.779 * [simplify]: Simplifying (* 2 1) 10.779 * * [simplify]: iters left: 2 (3 enodes) 10.781 * * [simplify]: iters left: 1 (9 enodes) 10.785 * * [simplify]: Extracting #0: cost 1 inf + 0 10.785 * * [simplify]: Extracting #1: cost 0 inf + 1 10.785 * [simplify]: Simplified to 2 10.785 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 2))))) 10.785 * * * * [progress]: [ 79 / 131 ] simplifiying candidate # 10.785 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 10.785 * * [simplify]: iters left: 6 (7 enodes) 10.789 * * [simplify]: iters left: 5 (24 enodes) 10.795 * * [simplify]: iters left: 4 (27 enodes) 10.803 * * [simplify]: Extracting #0: cost 1 inf + 0 10.803 * * [simplify]: Extracting #1: cost 5 inf + 0 10.803 * * [simplify]: Extracting #2: cost 7 inf + 1 10.803 * * [simplify]: Extracting #3: cost 8 inf + 83 10.804 * * [simplify]: Extracting #4: cost 10 inf + 124 10.804 * * [simplify]: Extracting #5: cost 6 inf + 248 10.804 * * [simplify]: Extracting #6: cost 3 inf + 654 10.804 * * [simplify]: Extracting #7: cost 1 inf + 1018 10.805 * * [simplify]: Extracting #8: cost 0 inf + 1220 10.805 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 10.805 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) (* 2 (/ 1 2))))))) 10.806 * [simplify]: Simplifying (* 2 (/ 1 2)) 10.806 * * [simplify]: iters left: 4 (4 enodes) 10.810 * * [simplify]: iters left: 3 (13 enodes) 10.814 * * [simplify]: iters left: 2 (15 enodes) 10.820 * * [simplify]: Extracting #0: cost 1 inf + 0 10.820 * * [simplify]: Extracting #1: cost 0 inf + 1 10.820 * [simplify]: Simplified to 1 10.820 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1))))) 10.820 * * * * [progress]: [ 80 / 131 ] simplifiying candidate # 10.821 * [simplify]: Simplifying (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.821 * * [simplify]: iters left: 6 (9 enodes) 10.825 * * [simplify]: iters left: 5 (30 enodes) 10.833 * * [simplify]: iters left: 4 (33 enodes) 10.842 * * [simplify]: Extracting #0: cost 1 inf + 0 10.842 * * [simplify]: Extracting #1: cost 3 inf + 0 10.842 * * [simplify]: Extracting #2: cost 5 inf + 0 10.842 * * [simplify]: Extracting #3: cost 9 inf + 0 10.842 * * [simplify]: Extracting #4: cost 11 inf + 1 10.842 * * [simplify]: Extracting #5: cost 12 inf + 83 10.842 * * [simplify]: Extracting #6: cost 14 inf + 124 10.842 * * [simplify]: Extracting #7: cost 10 inf + 248 10.842 * * [simplify]: Extracting #8: cost 8 inf + 532 10.843 * * [simplify]: Extracting #9: cost 4 inf + 1260 10.844 * * [simplify]: Extracting #10: cost 0 inf + 2348 10.844 * [simplify]: Simplified to (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.844 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.845 * * * * [progress]: [ 81 / 131 ] simplifiying candidate # 10.845 * [simplify]: Simplifying (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 10.845 * * [simplify]: iters left: 6 (9 enodes) 10.849 * * [simplify]: iters left: 5 (30 enodes) 10.859 * * [simplify]: iters left: 4 (33 enodes) 10.868 * * [simplify]: Extracting #0: cost 1 inf + 0 10.868 * * [simplify]: Extracting #1: cost 3 inf + 0 10.868 * * [simplify]: Extracting #2: cost 5 inf + 0 10.868 * * [simplify]: Extracting #3: cost 9 inf + 0 10.868 * * [simplify]: Extracting #4: cost 11 inf + 1 10.868 * * [simplify]: Extracting #5: cost 12 inf + 83 10.868 * * [simplify]: Extracting #6: cost 14 inf + 124 10.868 * * [simplify]: Extracting #7: cost 10 inf + 248 10.868 * * [simplify]: Extracting #8: cost 8 inf + 532 10.869 * * [simplify]: Extracting #9: cost 4 inf + 1300 10.870 * * [simplify]: Extracting #10: cost 0 inf + 2428 10.870 * [simplify]: Simplified to (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 10.870 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.871 * * * * [progress]: [ 82 / 131 ] simplifiying candidate # 10.871 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.871 * * [simplify]: iters left: 6 (9 enodes) 10.875 * * [simplify]: iters left: 5 (30 enodes) 10.883 * * [simplify]: iters left: 4 (33 enodes) 10.892 * * [simplify]: Extracting #0: cost 1 inf + 0 10.892 * * [simplify]: Extracting #1: cost 3 inf + 0 10.892 * * [simplify]: Extracting #2: cost 5 inf + 0 10.892 * * [simplify]: Extracting #3: cost 9 inf + 0 10.892 * * [simplify]: Extracting #4: cost 11 inf + 1 10.892 * * [simplify]: Extracting #5: cost 12 inf + 83 10.893 * * [simplify]: Extracting #6: cost 14 inf + 124 10.893 * * [simplify]: Extracting #7: cost 10 inf + 248 10.893 * * [simplify]: Extracting #8: cost 8 inf + 532 10.893 * * [simplify]: Extracting #9: cost 4 inf + 1260 10.894 * * [simplify]: Extracting #10: cost 0 inf + 2268 10.895 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.895 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 10.895 * * * * [progress]: [ 83 / 131 ] simplifiying candidate # 10.896 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.896 * * [simplify]: iters left: 6 (8 enodes) 10.899 * * [simplify]: iters left: 5 (27 enodes) 10.907 * * [simplify]: iters left: 4 (30 enodes) 10.914 * * [simplify]: Extracting #0: cost 1 inf + 0 10.914 * * [simplify]: Extracting #1: cost 3 inf + 0 10.914 * * [simplify]: Extracting #2: cost 7 inf + 0 10.914 * * [simplify]: Extracting #3: cost 9 inf + 1 10.915 * * [simplify]: Extracting #4: cost 10 inf + 83 10.915 * * [simplify]: Extracting #5: cost 12 inf + 124 10.915 * * [simplify]: Extracting #6: cost 9 inf + 207 10.915 * * [simplify]: Extracting #7: cost 5 inf + 654 10.916 * * [simplify]: Extracting #8: cost 1 inf + 1462 10.916 * * [simplify]: Extracting #9: cost 0 inf + 1704 10.917 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.917 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.917 * * * * [progress]: [ 84 / 131 ] simplifiying candidate # 10.918 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 10.918 * * [simplify]: iters left: 6 (10 enodes) 10.922 * * [simplify]: iters left: 5 (33 enodes) 10.931 * * [simplify]: iters left: 4 (36 enodes) 10.940 * * [simplify]: Extracting #0: cost 1 inf + 0 10.940 * * [simplify]: Extracting #1: cost 3 inf + 0 10.940 * * [simplify]: Extracting #2: cost 7 inf + 0 10.941 * * [simplify]: Extracting #3: cost 12 inf + 0 10.941 * * [simplify]: Extracting #4: cost 13 inf + 1 10.941 * * [simplify]: Extracting #5: cost 14 inf + 83 10.941 * * [simplify]: Extracting #6: cost 14 inf + 286 10.941 * * [simplify]: Extracting #7: cost 11 inf + 369 10.941 * * [simplify]: Extracting #8: cost 7 inf + 816 10.942 * * [simplify]: Extracting #9: cost 0 inf + 2590 10.943 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 10.943 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))) 10.943 * * * * [progress]: [ 85 / 131 ] simplifiying candidate # 10.944 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 10.944 * * [simplify]: iters left: 6 (10 enodes) 10.948 * * [simplify]: iters left: 5 (33 enodes) 10.957 * * [simplify]: iters left: 4 (36 enodes) 10.964 * * [simplify]: Extracting #0: cost 1 inf + 0 10.964 * * [simplify]: Extracting #1: cost 3 inf + 0 10.964 * * [simplify]: Extracting #2: cost 7 inf + 0 10.965 * * [simplify]: Extracting #3: cost 12 inf + 0 10.965 * * [simplify]: Extracting #4: cost 13 inf + 1 10.965 * * [simplify]: Extracting #5: cost 14 inf + 83 10.965 * * [simplify]: Extracting #6: cost 14 inf + 286 10.965 * * [simplify]: Extracting #7: cost 11 inf + 369 10.965 * * [simplify]: Extracting #8: cost 7 inf + 816 10.965 * * [simplify]: Extracting #9: cost 0 inf + 2590 10.966 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 10.966 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))) 10.966 * * * * [progress]: [ 86 / 131 ] simplifiying candidate # 10.966 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.966 * * [simplify]: iters left: 6 (8 enodes) 10.968 * * [simplify]: iters left: 5 (27 enodes) 10.971 * * [simplify]: iters left: 4 (30 enodes) 10.976 * * [simplify]: Extracting #0: cost 1 inf + 0 10.976 * * [simplify]: Extracting #1: cost 3 inf + 0 10.976 * * [simplify]: Extracting #2: cost 7 inf + 0 10.976 * * [simplify]: Extracting #3: cost 9 inf + 1 10.976 * * [simplify]: Extracting #4: cost 10 inf + 83 10.976 * * [simplify]: Extracting #5: cost 12 inf + 124 10.976 * * [simplify]: Extracting #6: cost 9 inf + 207 10.977 * * [simplify]: Extracting #7: cost 5 inf + 654 10.977 * * [simplify]: Extracting #8: cost 1 inf + 1462 10.978 * * [simplify]: Extracting #9: cost 0 inf + 1704 10.978 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 10.978 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 10.979 * * * * [progress]: [ 87 / 131 ] simplifiying candidate # 10.979 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 10.979 * * [simplify]: iters left: 6 (9 enodes) 10.983 * * [simplify]: iters left: 5 (30 enodes) 10.992 * * [simplify]: iters left: 4 (33 enodes) 11.000 * * [simplify]: Extracting #0: cost 1 inf + 0 11.000 * * [simplify]: Extracting #1: cost 3 inf + 0 11.000 * * [simplify]: Extracting #2: cost 5 inf + 0 11.000 * * [simplify]: Extracting #3: cost 9 inf + 0 11.000 * * [simplify]: Extracting #4: cost 11 inf + 1 11.000 * * [simplify]: Extracting #5: cost 12 inf + 83 11.000 * * [simplify]: Extracting #6: cost 14 inf + 124 11.000 * * [simplify]: Extracting #7: cost 10 inf + 248 11.000 * * [simplify]: Extracting #8: cost 8 inf + 532 11.000 * * [simplify]: Extracting #9: cost 4 inf + 1260 11.001 * * [simplify]: Extracting #10: cost 0 inf + 2268 11.001 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.001 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.001 * * * * [progress]: [ 88 / 131 ] simplifiying candidate # 11.002 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 11.002 * * [simplify]: iters left: 6 (8 enodes) 11.004 * * [simplify]: iters left: 5 (27 enodes) 11.008 * * [simplify]: iters left: 4 (30 enodes) 11.011 * * [simplify]: Extracting #0: cost 1 inf + 0 11.012 * * [simplify]: Extracting #1: cost 3 inf + 0 11.012 * * [simplify]: Extracting #2: cost 7 inf + 0 11.012 * * [simplify]: Extracting #3: cost 9 inf + 1 11.012 * * [simplify]: Extracting #4: cost 10 inf + 83 11.012 * * [simplify]: Extracting #5: cost 12 inf + 124 11.012 * * [simplify]: Extracting #6: cost 9 inf + 207 11.012 * * [simplify]: Extracting #7: cost 5 inf + 654 11.012 * * [simplify]: Extracting #8: cost 1 inf + 1462 11.013 * * [simplify]: Extracting #9: cost 0 inf + 1704 11.013 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 11.013 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 11.013 * * * * [progress]: [ 89 / 131 ] simplifiying candidate # 11.013 * [simplify]: Simplifying (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 11.013 * * [simplify]: iters left: 6 (10 enodes) 11.015 * * [simplify]: iters left: 5 (33 enodes) 11.020 * * [simplify]: iters left: 4 (36 enodes) 11.025 * * [simplify]: Extracting #0: cost 1 inf + 0 11.025 * * [simplify]: Extracting #1: cost 3 inf + 0 11.025 * * [simplify]: Extracting #2: cost 5 inf + 0 11.025 * * [simplify]: Extracting #3: cost 7 inf + 0 11.025 * * [simplify]: Extracting #4: cost 11 inf + 0 11.025 * * [simplify]: Extracting #5: cost 13 inf + 1 11.025 * * [simplify]: Extracting #6: cost 14 inf + 83 11.025 * * [simplify]: Extracting #7: cost 16 inf + 124 11.025 * * [simplify]: Extracting #8: cost 13 inf + 207 11.025 * * [simplify]: Extracting #9: cost 9 inf + 654 11.025 * * [simplify]: Extracting #10: cost 4 inf + 1704 11.026 * * [simplify]: Extracting #11: cost 0 inf + 3072 11.027 * [simplify]: Simplified to (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 11.027 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.027 * * * * [progress]: [ 90 / 131 ] simplifiying candidate # 11.027 * [simplify]: Simplifying (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 11.027 * * [simplify]: iters left: 6 (10 enodes) 11.032 * * [simplify]: iters left: 5 (34 enodes) 11.041 * * [simplify]: iters left: 4 (37 enodes) 11.051 * * [simplify]: Extracting #0: cost 1 inf + 0 11.051 * * [simplify]: Extracting #1: cost 4 inf + 0 11.051 * * [simplify]: Extracting #2: cost 7 inf + 0 11.051 * * [simplify]: Extracting #3: cost 11 inf + 0 11.051 * * [simplify]: Extracting #4: cost 13 inf + 1 11.051 * * [simplify]: Extracting #5: cost 15 inf + 42 11.051 * * [simplify]: Extracting #6: cost 16 inf + 124 11.051 * * [simplify]: Extracting #7: cost 13 inf + 207 11.052 * * [simplify]: Extracting #8: cost 10 inf + 532 11.052 * * [simplify]: Extracting #9: cost 4 inf + 1824 11.053 * * [simplify]: Extracting #10: cost 0 inf + 3072 11.054 * [simplify]: Simplified to (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 11.054 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.054 * * * * [progress]: [ 91 / 131 ] simplifiying candidate # 11.055 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.055 * * [simplify]: iters left: 6 (9 enodes) 11.059 * * [simplify]: iters left: 5 (30 enodes) 11.067 * * [simplify]: iters left: 4 (33 enodes) 11.076 * * [simplify]: Extracting #0: cost 1 inf + 0 11.076 * * [simplify]: Extracting #1: cost 3 inf + 0 11.076 * * [simplify]: Extracting #2: cost 5 inf + 0 11.076 * * [simplify]: Extracting #3: cost 9 inf + 0 11.076 * * [simplify]: Extracting #4: cost 11 inf + 1 11.076 * * [simplify]: Extracting #5: cost 12 inf + 83 11.076 * * [simplify]: Extracting #6: cost 14 inf + 124 11.077 * * [simplify]: Extracting #7: cost 10 inf + 248 11.077 * * [simplify]: Extracting #8: cost 8 inf + 532 11.077 * * [simplify]: Extracting #9: cost 4 inf + 1260 11.078 * * [simplify]: Extracting #10: cost 0 inf + 2268 11.079 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.079 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.079 * * * * [progress]: [ 92 / 131 ] simplifiying candidate # 11.079 * [simplify]: Simplifying (sqrt 1) 11.080 * * [simplify]: iters left: 1 (2 enodes) 11.083 * * [simplify]: Extracting #0: cost 1 inf + 0 11.083 * * [simplify]: Extracting #1: cost 0 inf + 1 11.083 * [simplify]: Simplified to 1 11.083 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.083 * * * * [progress]: [ 93 / 131 ] simplifiying candidate # 11.084 * [simplify]: Simplifying (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 11.084 * * [simplify]: iters left: 6 (10 enodes) 11.088 * * [simplify]: iters left: 5 (32 enodes) 11.097 * * [simplify]: Extracting #0: cost 1 inf + 0 11.097 * * [simplify]: Extracting #1: cost 3 inf + 0 11.097 * * [simplify]: Extracting #2: cost 6 inf + 0 11.097 * * [simplify]: Extracting #3: cost 10 inf + 0 11.097 * * [simplify]: Extracting #4: cost 11 inf + 1 11.097 * * [simplify]: Extracting #5: cost 12 inf + 83 11.097 * * [simplify]: Extracting #6: cost 14 inf + 124 11.097 * * [simplify]: Extracting #7: cost 11 inf + 207 11.098 * * [simplify]: Extracting #8: cost 7 inf + 654 11.098 * * [simplify]: Extracting #9: cost 0 inf + 2428 11.099 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 11.099 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.099 * * * * [progress]: [ 94 / 131 ] simplifiying candidate # 11.100 * [simplify]: Simplifying (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 11.100 * * [simplify]: iters left: 6 (10 enodes) 11.103 * * [simplify]: iters left: 5 (32 enodes) 11.107 * * [simplify]: Extracting #0: cost 1 inf + 0 11.107 * * [simplify]: Extracting #1: cost 3 inf + 0 11.107 * * [simplify]: Extracting #2: cost 6 inf + 0 11.107 * * [simplify]: Extracting #3: cost 10 inf + 0 11.107 * * [simplify]: Extracting #4: cost 11 inf + 1 11.107 * * [simplify]: Extracting #5: cost 12 inf + 83 11.107 * * [simplify]: Extracting #6: cost 14 inf + 124 11.107 * * [simplify]: Extracting #7: cost 11 inf + 207 11.108 * * [simplify]: Extracting #8: cost 7 inf + 654 11.108 * * [simplify]: Extracting #9: cost 0 inf + 2428 11.108 * [simplify]: Simplified to (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) 11.108 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.108 * * * * [progress]: [ 95 / 131 ] simplifiying candidate # 11.109 * [simplify]: Simplifying (sqrt 1) 11.109 * * [simplify]: iters left: 1 (2 enodes) 11.112 * * [simplify]: Extracting #0: cost 1 inf + 0 11.112 * * [simplify]: Extracting #1: cost 0 inf + 1 11.112 * [simplify]: Simplified to 1 11.112 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.112 * * * * [progress]: [ 96 / 131 ] simplifiying candidate # 11.112 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.112 * * [simplify]: iters left: 6 (9 enodes) 11.114 * * [simplify]: iters left: 5 (30 enodes) 11.118 * * [simplify]: iters left: 4 (33 enodes) 11.123 * * [simplify]: Extracting #0: cost 1 inf + 0 11.123 * * [simplify]: Extracting #1: cost 3 inf + 0 11.123 * * [simplify]: Extracting #2: cost 5 inf + 0 11.123 * * [simplify]: Extracting #3: cost 9 inf + 0 11.123 * * [simplify]: Extracting #4: cost 11 inf + 1 11.123 * * [simplify]: Extracting #5: cost 12 inf + 83 11.123 * * [simplify]: Extracting #6: cost 14 inf + 124 11.123 * * [simplify]: Extracting #7: cost 10 inf + 248 11.123 * * [simplify]: Extracting #8: cost 8 inf + 532 11.123 * * [simplify]: Extracting #9: cost 4 inf + 1260 11.124 * * [simplify]: Extracting #10: cost 0 inf + 2268 11.124 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.124 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.124 * * * * [progress]: [ 97 / 131 ] simplifiying candidate # 11.124 * * * * [progress]: [ 98 / 131 ] simplifiying candidate # 11.124 * [simplify]: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 11.125 * * [simplify]: iters left: 6 (11 enodes) 11.127 * * [simplify]: iters left: 5 (39 enodes) 11.133 * * [simplify]: iters left: 4 (63 enodes) 11.144 * * [simplify]: iters left: 3 (86 enodes) 11.156 * * [simplify]: iters left: 2 (104 enodes) 11.172 * * [simplify]: Extracting #0: cost 1 inf + 0 11.172 * * [simplify]: Extracting #1: cost 3 inf + 0 11.172 * * [simplify]: Extracting #2: cost 14 inf + 0 11.173 * * [simplify]: Extracting #3: cost 30 inf + 0 11.173 * * [simplify]: Extracting #4: cost 29 inf + 125 11.173 * * [simplify]: Extracting #5: cost 20 inf + 978 11.175 * * [simplify]: Extracting #6: cost 8 inf + 3642 11.177 * * [simplify]: Extracting #7: cost 0 inf + 5818 11.180 * [simplify]: Simplified to (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) 11.180 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)))))))) 11.180 * * * * [progress]: [ 99 / 131 ] simplifiying candidate # 11.181 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 11.181 * * [simplify]: iters left: 6 (8 enodes) 11.184 * * [simplify]: iters left: 5 (26 enodes) 11.191 * * [simplify]: Extracting #0: cost 1 inf + 0 11.191 * * [simplify]: Extracting #1: cost 3 inf + 0 11.191 * * [simplify]: Extracting #2: cost 6 inf + 0 11.191 * * [simplify]: Extracting #3: cost 7 inf + 1 11.191 * * [simplify]: Extracting #4: cost 10 inf + 1 11.191 * * [simplify]: Extracting #5: cost 12 inf + 42 11.191 * * [simplify]: Extracting #6: cost 9 inf + 125 11.191 * * [simplify]: Extracting #7: cost 5 inf + 572 11.192 * * [simplify]: Extracting #8: cost 1 inf + 1380 11.193 * * [simplify]: Extracting #9: cost 0 inf + 1622 11.193 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 11.193 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 11.193 * * * * [progress]: [ 100 / 131 ] simplifiying candidate # 11.194 * [simplify]: Simplifying (* (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.194 * * [simplify]: iters left: 6 (14 enodes) 11.202 * * [simplify]: iters left: 5 (60 enodes) 11.216 * * [simplify]: iters left: 4 (100 enodes) 11.239 * * [simplify]: iters left: 3 (178 enodes) 11.306 * * [simplify]: iters left: 2 (337 enodes) 11.402 * * [simplify]: Extracting #0: cost 1 inf + 0 11.402 * * [simplify]: Extracting #1: cost 4 inf + 0 11.402 * * [simplify]: Extracting #2: cost 8 inf + 0 11.402 * * [simplify]: Extracting #3: cost 34 inf + 0 11.406 * * [simplify]: Extracting #4: cost 117 inf + 42 11.408 * * [simplify]: Extracting #5: cost 163 inf + 1218 11.410 * * [simplify]: Extracting #6: cost 118 inf + 15527 11.416 * * [simplify]: Extracting #7: cost 53 inf + 52527 11.424 * * [simplify]: Extracting #8: cost 1 inf + 88154 11.433 * * [simplify]: Extracting #9: cost 0 inf + 88527 11.442 * [simplify]: Simplified to (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))))) 11.442 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))) 11.442 * * * * [progress]: [ 101 / 131 ] simplifiying candidate # 11.443 * [simplify]: Simplifying (* (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 11.443 * * [simplify]: iters left: 6 (12 enodes) 11.448 * * [simplify]: iters left: 5 (42 enodes) 11.461 * * [simplify]: iters left: 4 (69 enodes) 11.484 * * [simplify]: iters left: 3 (116 enodes) 11.523 * * [simplify]: iters left: 2 (220 enodes) 11.618 * * [simplify]: Extracting #0: cost 1 inf + 0 11.618 * * [simplify]: Extracting #1: cost 4 inf + 0 11.618 * * [simplify]: Extracting #2: cost 9 inf + 0 11.618 * * [simplify]: Extracting #3: cost 57 inf + 124 11.619 * * [simplify]: Extracting #4: cost 182 inf + 249 11.621 * * [simplify]: Extracting #5: cost 127 inf + 11160 11.629 * * [simplify]: Extracting #6: cost 17 inf + 43272 11.645 * * [simplify]: Extracting #7: cost 0 inf + 48270 11.665 * [simplify]: Simplified to (* (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 11.665 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 11.666 * * * * [progress]: [ 102 / 131 ] simplifiying candidate #real (real->posit16 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))))> 11.666 * * * * [progress]: [ 103 / 131 ] simplifiying candidate # 11.666 * * * * [progress]: [ 104 / 131 ] simplifiying candidate # 11.666 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 11.666 * * [simplify]: iters left: 6 (9 enodes) 11.670 * * [simplify]: iters left: 5 (30 enodes) 11.678 * * [simplify]: iters left: 4 (34 enodes) 11.691 * * [simplify]: iters left: 3 (39 enodes) 11.701 * * [simplify]: iters left: 2 (44 enodes) 11.713 * * [simplify]: iters left: 1 (52 enodes) 11.728 * * [simplify]: Extracting #0: cost 1 inf + 0 11.728 * * [simplify]: Extracting #1: cost 9 inf + 0 11.728 * * [simplify]: Extracting #2: cost 15 inf + 1 11.728 * * [simplify]: Extracting #3: cost 17 inf + 2 11.728 * * [simplify]: Extracting #4: cost 18 inf + 114 11.728 * * [simplify]: Extracting #5: cost 15 inf + 601 11.729 * * [simplify]: Extracting #6: cost 7 inf + 1413 11.730 * * [simplify]: Extracting #7: cost 0 inf + 3047 11.731 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 11.731 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))))) 11.731 * * * * [progress]: [ 105 / 131 ] simplifiying candidate # 11.731 * * * * [progress]: [ 106 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 107 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 108 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 109 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 110 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 111 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 112 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 113 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 114 / 131 ] simplifiying candidate # 11.732 * * * * [progress]: [ 115 / 131 ] simplifiying candidate # 11.732 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 11.732 * * [simplify]: iters left: 6 (9 enodes) 11.736 * * [simplify]: iters left: 5 (29 enodes) 11.744 * * [simplify]: Extracting #0: cost 1 inf + 0 11.744 * * [simplify]: Extracting #1: cost 4 inf + 0 11.745 * * [simplify]: Extracting #2: cost 8 inf + 0 11.745 * * [simplify]: Extracting #3: cost 9 inf + 1 11.745 * * [simplify]: Extracting #4: cost 11 inf + 42 11.745 * * [simplify]: Extracting #5: cost 12 inf + 124 11.745 * * [simplify]: Extracting #6: cost 8 inf + 248 11.745 * * [simplify]: Extracting #7: cost 5 inf + 654 11.746 * * [simplify]: Extracting #8: cost 2 inf + 1300 11.746 * * [simplify]: Extracting #9: cost 0 inf + 1784 11.747 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 11.747 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 11.748 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 11.748 * * [simplify]: iters left: 6 (9 enodes) 11.752 * * [simplify]: iters left: 5 (30 enodes) 11.760 * * [simplify]: iters left: 4 (33 enodes) 11.769 * * [simplify]: Extracting #0: cost 1 inf + 0 11.769 * * [simplify]: Extracting #1: cost 5 inf + 0 11.769 * * [simplify]: Extracting #2: cost 10 inf + 0 11.769 * * [simplify]: Extracting #3: cost 11 inf + 1 11.769 * * [simplify]: Extracting #4: cost 10 inf + 245 11.769 * * [simplify]: Extracting #5: cost 12 inf + 286 11.770 * * [simplify]: Extracting #6: cost 8 inf + 410 11.770 * * [simplify]: Extracting #7: cost 6 inf + 694 11.770 * * [simplify]: Extracting #8: cost 1 inf + 1744 11.771 * * [simplify]: Extracting #9: cost 0 inf + 1946 11.772 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 11.772 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 11.772 * * * * [progress]: [ 116 / 131 ] simplifiying candidate # 11.772 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 11.773 * * [simplify]: iters left: 6 (9 enodes) 11.776 * * [simplify]: iters left: 5 (29 enodes) 11.781 * * [simplify]: Extracting #0: cost 1 inf + 0 11.781 * * [simplify]: Extracting #1: cost 4 inf + 0 11.781 * * [simplify]: Extracting #2: cost 8 inf + 0 11.781 * * [simplify]: Extracting #3: cost 9 inf + 1 11.781 * * [simplify]: Extracting #4: cost 11 inf + 42 11.781 * * [simplify]: Extracting #5: cost 12 inf + 124 11.781 * * [simplify]: Extracting #6: cost 8 inf + 248 11.781 * * [simplify]: Extracting #7: cost 5 inf + 654 11.782 * * [simplify]: Extracting #8: cost 2 inf + 1300 11.782 * * [simplify]: Extracting #9: cost 0 inf + 1784 11.782 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 11.782 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 11.783 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 11.783 * * [simplify]: iters left: 6 (9 enodes) 11.785 * * [simplify]: iters left: 5 (30 enodes) 11.789 * * [simplify]: iters left: 4 (33 enodes) 11.793 * * [simplify]: Extracting #0: cost 1 inf + 0 11.793 * * [simplify]: Extracting #1: cost 5 inf + 0 11.793 * * [simplify]: Extracting #2: cost 10 inf + 0 11.793 * * [simplify]: Extracting #3: cost 11 inf + 1 11.793 * * [simplify]: Extracting #4: cost 10 inf + 245 11.793 * * [simplify]: Extracting #5: cost 12 inf + 286 11.793 * * [simplify]: Extracting #6: cost 8 inf + 410 11.794 * * [simplify]: Extracting #7: cost 6 inf + 694 11.794 * * [simplify]: Extracting #8: cost 1 inf + 1744 11.794 * * [simplify]: Extracting #9: cost 0 inf + 1946 11.795 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 11.795 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))))) 11.795 * * * * [progress]: [ 117 / 131 ] simplifiying candidate # 11.795 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 11.795 * * [simplify]: iters left: 6 (7 enodes) 11.797 * * [simplify]: iters left: 5 (24 enodes) 11.801 * * [simplify]: iters left: 4 (27 enodes) 11.809 * * [simplify]: Extracting #0: cost 1 inf + 0 11.809 * * [simplify]: Extracting #1: cost 5 inf + 0 11.809 * * [simplify]: Extracting #2: cost 7 inf + 1 11.809 * * [simplify]: Extracting #3: cost 8 inf + 83 11.809 * * [simplify]: Extracting #4: cost 10 inf + 124 11.809 * * [simplify]: Extracting #5: cost 6 inf + 248 11.810 * * [simplify]: Extracting #6: cost 3 inf + 654 11.810 * * [simplify]: Extracting #7: cost 1 inf + 1018 11.811 * * [simplify]: Extracting #8: cost 0 inf + 1220 11.811 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 11.811 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))))) 11.811 * * * * [progress]: [ 118 / 131 ] simplifiying candidate # 11.811 * * * * [progress]: [ 119 / 131 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))))> 11.812 * * * * [progress]: [ 120 / 131 ] simplifiying candidate # 11.812 * [simplify]: Simplifying im 11.812 * * [simplify]: iters left: 0 (1 enodes) 11.812 * * [simplify]: Extracting #0: cost 1 inf + 0 11.812 * * [simplify]: Extracting #1: cost 0 inf + 1 11.812 * [simplify]: Simplified to im 11.812 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- im re))))))) 11.813 * * * * [progress]: [ 121 / 131 ] simplifiying candidate # 11.813 * [simplify]: Simplifying re 11.813 * * [simplify]: iters left: 0 (1 enodes) 11.813 * * [simplify]: Extracting #0: cost 1 inf + 0 11.813 * * [simplify]: Extracting #1: cost 0 inf + 1 11.813 * [simplify]: Simplified to re 11.813 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- re re))))))) 11.814 * * * * [progress]: [ 122 / 131 ] simplifiying candidate # 11.815 * [simplify]: Simplifying (* -1 re) 11.815 * * [simplify]: iters left: 2 (3 enodes) 11.817 * * [simplify]: iters left: 1 (11 enodes) 11.820 * * [simplify]: Extracting #0: cost 1 inf + 0 11.820 * * [simplify]: Extracting #1: cost 4 inf + 0 11.820 * * [simplify]: Extracting #2: cost 0 inf + 84 11.821 * [simplify]: Simplified to (- re) 11.821 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (- re) re))))))) 11.821 * * * * [progress]: [ 123 / 131 ] simplifiying candidate # 11.821 * [simplify]: Simplifying im 11.821 * * [simplify]: iters left: 0 (1 enodes) 11.822 * * [simplify]: Extracting #0: cost 1 inf + 0 11.822 * * [simplify]: Extracting #1: cost 0 inf + 1 11.822 * [simplify]: Simplified to im 11.822 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- im re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 11.822 * * * * [progress]: [ 124 / 131 ] simplifiying candidate # 11.822 * [simplify]: Simplifying re 11.822 * * [simplify]: iters left: 0 (1 enodes) 11.823 * * [simplify]: Extracting #0: cost 1 inf + 0 11.823 * * [simplify]: Extracting #1: cost 0 inf + 1 11.823 * [simplify]: Simplified to re 11.823 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- re re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 11.823 * * * * [progress]: [ 125 / 131 ] simplifiying candidate # 11.823 * [simplify]: Simplifying (* -1 re) 11.823 * * [simplify]: iters left: 2 (3 enodes) 11.825 * * [simplify]: iters left: 1 (11 enodes) 11.827 * * [simplify]: Extracting #0: cost 1 inf + 0 11.827 * * [simplify]: Extracting #1: cost 4 inf + 0 11.827 * * [simplify]: Extracting #2: cost 0 inf + 84 11.827 * [simplify]: Simplified to (- re) 11.827 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (- re) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 11.828 * * * * [progress]: [ 126 / 131 ] simplifiying candidate # 11.828 * [simplify]: Simplifying (- im re) 11.828 * * [simplify]: iters left: 2 (3 enodes) 11.828 * * [simplify]: iters left: 1 (11 enodes) 11.830 * * [simplify]: Extracting #0: cost 1 inf + 0 11.830 * * [simplify]: Extracting #1: cost 5 inf + 0 11.830 * * [simplify]: Extracting #2: cost 3 inf + 43 11.830 * * [simplify]: Extracting #3: cost 0 inf + 168 11.830 * [simplify]: Simplified to (- im re) 11.830 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 11.830 * * * * [progress]: [ 127 / 131 ] simplifiying candidate # 11.830 * [simplify]: Simplifying 0 11.830 * * [simplify]: iters left: 0 (1 enodes) 11.831 * * [simplify]: Extracting #0: cost 1 inf + 0 11.831 * * [simplify]: Extracting #1: cost 0 inf + 1 11.831 * [simplify]: Simplified to 0 11.831 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 11.831 * * * * [progress]: [ 128 / 131 ] simplifiying candidate # 11.831 * [simplify]: Simplifying (* -2 re) 11.831 * * [simplify]: iters left: 2 (3 enodes) 11.832 * * [simplify]: iters left: 1 (10 enodes) 11.834 * * [simplify]: Extracting #0: cost 1 inf + 0 11.834 * * [simplify]: Extracting #1: cost 4 inf + 0 11.834 * * [simplify]: Extracting #2: cost 2 inf + 2 11.834 * * [simplify]: Extracting #3: cost 0 inf + 86 11.834 * [simplify]: Simplified to (* -2 re) 11.834 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 11.834 * * * * [progress]: [ 129 / 131 ] simplifiying candidate # 11.834 * [simplify]: Simplifying (- im re) 11.834 * * [simplify]: iters left: 2 (3 enodes) 11.835 * * [simplify]: iters left: 1 (11 enodes) 11.836 * * [simplify]: Extracting #0: cost 1 inf + 0 11.836 * * [simplify]: Extracting #1: cost 5 inf + 0 11.836 * * [simplify]: Extracting #2: cost 3 inf + 43 11.836 * * [simplify]: Extracting #3: cost 0 inf + 168 11.836 * [simplify]: Simplified to (- im re) 11.836 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- im re))))))) 11.837 * * * * [progress]: [ 130 / 131 ] simplifiying candidate # 11.837 * [simplify]: Simplifying 0 11.837 * * [simplify]: iters left: 0 (1 enodes) 11.837 * * [simplify]: Extracting #0: cost 1 inf + 0 11.838 * * [simplify]: Extracting #1: cost 0 inf + 1 11.838 * [simplify]: Simplified to 0 11.838 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 0)))))) 11.838 * * * * [progress]: [ 131 / 131 ] simplifiying candidate # 11.838 * [simplify]: Simplifying (* -2 re) 11.838 * * [simplify]: iters left: 2 (3 enodes) 11.839 * * [simplify]: iters left: 1 (10 enodes) 11.841 * * [simplify]: Extracting #0: cost 1 inf + 0 11.841 * * [simplify]: Extracting #1: cost 4 inf + 0 11.841 * * [simplify]: Extracting #2: cost 2 inf + 2 11.841 * * [simplify]: Extracting #3: cost 0 inf + 86 11.841 * [simplify]: Simplified to (* -2 re) 11.841 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* -2 re))))))) 11.841 * * * [progress]: adding candidates to table 13.372 * * [progress]: iteration 4 / 4 13.373 * * * [progress]: picking best candidate 13.382 * * * * [pick]: Picked # 13.382 * * * [progress]: localizing error 13.410 * * * [progress]: generating rewritten candidates 13.410 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 13.416 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 13.423 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 13.443 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 13.495 * * * [progress]: generating series expansions 13.496 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 13.496 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 13.496 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 13.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 13.496 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 13.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.496 * [taylor]: Taking taylor expansion of im in im 13.496 * [backup-simplify]: Simplify 0 into 0 13.496 * [backup-simplify]: Simplify 1 into 1 13.496 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.496 * [taylor]: Taking taylor expansion of re in im 13.496 * [backup-simplify]: Simplify re into re 13.496 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.496 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 13.496 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.496 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.497 * [backup-simplify]: Simplify (+ 0 0) into 0 13.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 13.497 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 13.497 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.497 * [taylor]: Taking taylor expansion of im in re 13.497 * [backup-simplify]: Simplify im into im 13.497 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.497 * [taylor]: Taking taylor expansion of re in re 13.497 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify 1 into 1 13.497 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.497 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 13.497 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.497 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.498 * [backup-simplify]: Simplify (+ 0 0) into 0 13.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 13.498 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 13.498 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.498 * [taylor]: Taking taylor expansion of im in re 13.498 * [backup-simplify]: Simplify im into im 13.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.498 * [taylor]: Taking taylor expansion of re in re 13.498 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify 1 into 1 13.498 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.498 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 13.498 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.498 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.498 * [backup-simplify]: Simplify (+ 0 0) into 0 13.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.498 * [taylor]: Taking taylor expansion of im in im 13.498 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify 1 into 1 13.498 * [backup-simplify]: Simplify 0 into 0 13.499 * [taylor]: Taking taylor expansion of 0 in im 13.499 * [backup-simplify]: Simplify 0 into 0 13.499 * [backup-simplify]: Simplify 0 into 0 13.499 * [backup-simplify]: Simplify 1 into 1 13.499 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.499 * [backup-simplify]: Simplify (* 1 1) into 1 13.499 * [backup-simplify]: Simplify (+ 0 1) into 1 13.500 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.500 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.500 * [taylor]: Taking taylor expansion of 1/2 in im 13.500 * [backup-simplify]: Simplify 1/2 into 1/2 13.500 * [taylor]: Taking taylor expansion of im in im 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify 1 into 1 13.500 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.501 * [backup-simplify]: Simplify 0 into 0 13.501 * [backup-simplify]: Simplify 0 into 0 13.501 * [backup-simplify]: Simplify 0 into 0 13.501 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.502 * [backup-simplify]: Simplify (+ 0 0) into 0 13.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.502 * [taylor]: Taking taylor expansion of 0 in im 13.502 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify 0 into 0 13.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.503 * [backup-simplify]: Simplify 0 into 0 13.503 * [backup-simplify]: Simplify 0 into 0 13.503 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.503 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 13.503 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 13.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.503 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.503 * [taylor]: Taking taylor expansion of re in im 13.503 * [backup-simplify]: Simplify re into re 13.503 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.503 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.503 * [taylor]: Taking taylor expansion of im in im 13.503 * [backup-simplify]: Simplify 0 into 0 13.503 * [backup-simplify]: Simplify 1 into 1 13.503 * [backup-simplify]: Simplify (* 1 1) into 1 13.504 * [backup-simplify]: Simplify (/ 1 1) into 1 13.504 * [backup-simplify]: Simplify (+ 0 1) into 1 13.504 * [backup-simplify]: Simplify (sqrt 1) into 1 13.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.505 * [backup-simplify]: Simplify (+ 0 0) into 0 13.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.506 * [taylor]: Taking taylor expansion of re in re 13.506 * [backup-simplify]: Simplify 0 into 0 13.506 * [backup-simplify]: Simplify 1 into 1 13.506 * [backup-simplify]: Simplify (* 1 1) into 1 13.506 * [backup-simplify]: Simplify (/ 1 1) into 1 13.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.506 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.506 * [taylor]: Taking taylor expansion of im in re 13.506 * [backup-simplify]: Simplify im into im 13.506 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.506 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.507 * [backup-simplify]: Simplify (+ 1 0) into 1 13.507 * [backup-simplify]: Simplify (sqrt 1) into 1 13.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.508 * [backup-simplify]: Simplify (+ 0 0) into 0 13.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.509 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.509 * [taylor]: Taking taylor expansion of re in re 13.509 * [backup-simplify]: Simplify 0 into 0 13.509 * [backup-simplify]: Simplify 1 into 1 13.509 * [backup-simplify]: Simplify (* 1 1) into 1 13.509 * [backup-simplify]: Simplify (/ 1 1) into 1 13.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.509 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.509 * [taylor]: Taking taylor expansion of im in re 13.509 * [backup-simplify]: Simplify im into im 13.509 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.510 * [backup-simplify]: Simplify (+ 1 0) into 1 13.510 * [backup-simplify]: Simplify (sqrt 1) into 1 13.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.511 * [backup-simplify]: Simplify (+ 0 0) into 0 13.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.511 * [taylor]: Taking taylor expansion of 1 in im 13.511 * [backup-simplify]: Simplify 1 into 1 13.511 * [taylor]: Taking taylor expansion of 0 in im 13.511 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify 1 into 1 13.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.513 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.513 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.513 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.513 * [taylor]: Taking taylor expansion of 1/2 in im 13.513 * [backup-simplify]: Simplify 1/2 into 1/2 13.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.513 * [taylor]: Taking taylor expansion of im in im 13.513 * [backup-simplify]: Simplify 0 into 0 13.513 * [backup-simplify]: Simplify 1 into 1 13.514 * [backup-simplify]: Simplify (* 1 1) into 1 13.514 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.515 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify 0 into 0 13.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.516 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.517 * [backup-simplify]: Simplify (+ 0 0) into 0 13.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.517 * [taylor]: Taking taylor expansion of 0 in im 13.517 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.519 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 13.519 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 13.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.519 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.519 * [taylor]: Taking taylor expansion of re in im 13.519 * [backup-simplify]: Simplify re into re 13.519 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.519 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.519 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.519 * [taylor]: Taking taylor expansion of im in im 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify 1 into 1 13.519 * [backup-simplify]: Simplify (* 1 1) into 1 13.520 * [backup-simplify]: Simplify (/ 1 1) into 1 13.520 * [backup-simplify]: Simplify (+ 0 1) into 1 13.520 * [backup-simplify]: Simplify (sqrt 1) into 1 13.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.521 * [backup-simplify]: Simplify (+ 0 0) into 0 13.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.522 * [taylor]: Taking taylor expansion of re in re 13.522 * [backup-simplify]: Simplify 0 into 0 13.522 * [backup-simplify]: Simplify 1 into 1 13.522 * [backup-simplify]: Simplify (* 1 1) into 1 13.522 * [backup-simplify]: Simplify (/ 1 1) into 1 13.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.522 * [taylor]: Taking taylor expansion of im in re 13.522 * [backup-simplify]: Simplify im into im 13.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.523 * [backup-simplify]: Simplify (+ 1 0) into 1 13.523 * [backup-simplify]: Simplify (sqrt 1) into 1 13.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.524 * [backup-simplify]: Simplify (+ 0 0) into 0 13.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.525 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.525 * [taylor]: Taking taylor expansion of re in re 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [backup-simplify]: Simplify (* 1 1) into 1 13.525 * [backup-simplify]: Simplify (/ 1 1) into 1 13.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.525 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.525 * [taylor]: Taking taylor expansion of im in re 13.525 * [backup-simplify]: Simplify im into im 13.525 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.525 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.526 * [backup-simplify]: Simplify (+ 1 0) into 1 13.526 * [backup-simplify]: Simplify (sqrt 1) into 1 13.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.527 * [backup-simplify]: Simplify (+ 0 0) into 0 13.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.528 * [taylor]: Taking taylor expansion of 1 in im 13.528 * [backup-simplify]: Simplify 1 into 1 13.528 * [taylor]: Taking taylor expansion of 0 in im 13.528 * [backup-simplify]: Simplify 0 into 0 13.528 * [backup-simplify]: Simplify 1 into 1 13.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.531 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.532 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.532 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.532 * [taylor]: Taking taylor expansion of 1/2 in im 13.532 * [backup-simplify]: Simplify 1/2 into 1/2 13.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.532 * [taylor]: Taking taylor expansion of im in im 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [backup-simplify]: Simplify 1 into 1 13.532 * [backup-simplify]: Simplify (* 1 1) into 1 13.533 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.538 * [backup-simplify]: Simplify (+ 0 0) into 0 13.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.538 * [taylor]: Taking taylor expansion of 0 in im 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.540 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.541 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 13.541 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 13.541 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 13.541 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 13.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.541 * [taylor]: Taking taylor expansion of 2.0 in im 13.541 * [backup-simplify]: Simplify 2.0 into 2.0 13.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.542 * [taylor]: Taking taylor expansion of im in im 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify 1 into 1 13.542 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 13.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.542 * [taylor]: Taking taylor expansion of 2.0 in im 13.542 * [backup-simplify]: Simplify 2.0 into 2.0 13.543 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.544 * [taylor]: Taking taylor expansion of im in im 13.544 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify 1 into 1 13.544 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.544 * [backup-simplify]: Simplify 0 into 0 13.550 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 13.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.552 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 13.553 * [backup-simplify]: Simplify 0 into 0 13.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.555 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.555 * [backup-simplify]: Simplify 0 into 0 13.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.558 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.558 * [backup-simplify]: Simplify 0 into 0 13.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.561 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.561 * [backup-simplify]: Simplify 0 into 0 13.563 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.565 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.565 * [backup-simplify]: Simplify 0 into 0 13.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.568 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.568 * [backup-simplify]: Simplify 0 into 0 13.568 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 13.569 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 13.569 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 13.569 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.569 * [taylor]: Taking taylor expansion of 2.0 in im 13.569 * [backup-simplify]: Simplify 2.0 into 2.0 13.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.570 * [taylor]: Taking taylor expansion of im in im 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify 1 into 1 13.571 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.571 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.571 * [taylor]: Taking taylor expansion of 2.0 in im 13.571 * [backup-simplify]: Simplify 2.0 into 2.0 13.572 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.572 * [taylor]: Taking taylor expansion of im in im 13.572 * [backup-simplify]: Simplify 0 into 0 13.572 * [backup-simplify]: Simplify 1 into 1 13.573 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.575 * [backup-simplify]: Simplify 0 into 0 13.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.577 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.580 * [backup-simplify]: Simplify 0 into 0 13.581 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.583 * [backup-simplify]: Simplify 0 into 0 13.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.585 * [backup-simplify]: Simplify 0 into 0 13.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.588 * [backup-simplify]: Simplify 0 into 0 13.588 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 13.589 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 13.589 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 13.589 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.589 * [taylor]: Taking taylor expansion of 2.0 in im 13.589 * [backup-simplify]: Simplify 2.0 into 2.0 13.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.590 * [taylor]: Taking taylor expansion of im in im 13.590 * [backup-simplify]: Simplify 0 into 0 13.590 * [backup-simplify]: Simplify 1 into 1 13.591 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.591 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.591 * [taylor]: Taking taylor expansion of 2.0 in im 13.591 * [backup-simplify]: Simplify 2.0 into 2.0 13.591 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.592 * [taylor]: Taking taylor expansion of im in im 13.592 * [backup-simplify]: Simplify 0 into 0 13.592 * [backup-simplify]: Simplify 1 into 1 13.593 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.595 * [backup-simplify]: Simplify 0 into 0 13.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.598 * [backup-simplify]: Simplify 0 into 0 13.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.600 * [backup-simplify]: Simplify 0 into 0 13.602 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.603 * [backup-simplify]: Simplify 0 into 0 13.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.606 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.608 * [backup-simplify]: Simplify 0 into 0 13.609 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 13.609 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 13.609 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 13.609 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 13.609 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 13.609 * [taylor]: Taking taylor expansion of re in im 13.609 * [backup-simplify]: Simplify re into re 13.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 13.609 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 13.609 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.609 * [taylor]: Taking taylor expansion of im in im 13.609 * [backup-simplify]: Simplify 0 into 0 13.609 * [backup-simplify]: Simplify 1 into 1 13.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.610 * [taylor]: Taking taylor expansion of re in im 13.610 * [backup-simplify]: Simplify re into re 13.610 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.610 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 13.610 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.610 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.610 * [backup-simplify]: Simplify (+ 0 0) into 0 13.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.610 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 13.610 * [taylor]: Taking taylor expansion of re in re 13.611 * [backup-simplify]: Simplify 0 into 0 13.611 * [backup-simplify]: Simplify 1 into 1 13.611 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 13.611 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 13.611 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.611 * [taylor]: Taking taylor expansion of im in re 13.611 * [backup-simplify]: Simplify im into im 13.611 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.611 * [taylor]: Taking taylor expansion of re in re 13.611 * [backup-simplify]: Simplify 0 into 0 13.611 * [backup-simplify]: Simplify 1 into 1 13.611 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.611 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 13.611 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.612 * [backup-simplify]: Simplify (+ 0 0) into 0 13.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.612 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 13.612 * [taylor]: Taking taylor expansion of re in re 13.612 * [backup-simplify]: Simplify 0 into 0 13.612 * [backup-simplify]: Simplify 1 into 1 13.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 13.612 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 13.612 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.612 * [taylor]: Taking taylor expansion of im in re 13.612 * [backup-simplify]: Simplify im into im 13.612 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.612 * [taylor]: Taking taylor expansion of re in re 13.612 * [backup-simplify]: Simplify 0 into 0 13.612 * [backup-simplify]: Simplify 1 into 1 13.612 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.612 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 13.612 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.613 * [backup-simplify]: Simplify (+ 0 0) into 0 13.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.613 * [backup-simplify]: Simplify (+ 0 im) into im 13.613 * [taylor]: Taking taylor expansion of im in im 13.613 * [backup-simplify]: Simplify 0 into 0 13.613 * [backup-simplify]: Simplify 1 into 1 13.613 * [backup-simplify]: Simplify 0 into 0 13.614 * [backup-simplify]: Simplify (+ 1 0) into 1 13.614 * [taylor]: Taking taylor expansion of 1 in im 13.614 * [backup-simplify]: Simplify 1 into 1 13.614 * [backup-simplify]: Simplify 1 into 1 13.614 * [backup-simplify]: Simplify 1 into 1 13.614 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.615 * [backup-simplify]: Simplify (* 1 1) into 1 13.615 * [backup-simplify]: Simplify (+ 0 1) into 1 13.616 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.616 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 13.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 13.616 * [taylor]: Taking taylor expansion of 1/2 in im 13.616 * [backup-simplify]: Simplify 1/2 into 1/2 13.616 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.616 * [taylor]: Taking taylor expansion of im in im 13.616 * [backup-simplify]: Simplify 0 into 0 13.616 * [backup-simplify]: Simplify 1 into 1 13.617 * [backup-simplify]: Simplify (/ 1 1) into 1 13.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.618 * [backup-simplify]: Simplify 0 into 0 13.618 * [backup-simplify]: Simplify 0 into 0 13.618 * [backup-simplify]: Simplify 0 into 0 13.619 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.620 * [backup-simplify]: Simplify (+ 0 0) into 0 13.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.621 * [backup-simplify]: Simplify (+ 0 0) into 0 13.621 * [taylor]: Taking taylor expansion of 0 in im 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify 0 into 0 13.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.623 * [backup-simplify]: Simplify 0 into 0 13.623 * [backup-simplify]: Simplify 0 into 0 13.623 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 13.623 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 13.623 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 13.623 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 13.623 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.623 * [taylor]: Taking taylor expansion of re in im 13.623 * [backup-simplify]: Simplify re into re 13.624 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.624 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.624 * [taylor]: Taking taylor expansion of re in im 13.624 * [backup-simplify]: Simplify re into re 13.624 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.624 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.624 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.624 * [taylor]: Taking taylor expansion of im in im 13.624 * [backup-simplify]: Simplify 0 into 0 13.624 * [backup-simplify]: Simplify 1 into 1 13.624 * [backup-simplify]: Simplify (* 1 1) into 1 13.625 * [backup-simplify]: Simplify (/ 1 1) into 1 13.625 * [backup-simplify]: Simplify (+ 0 1) into 1 13.626 * [backup-simplify]: Simplify (sqrt 1) into 1 13.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.627 * [backup-simplify]: Simplify (+ 0 0) into 0 13.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.628 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 13.628 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.628 * [taylor]: Taking taylor expansion of re in re 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 1 into 1 13.629 * [backup-simplify]: Simplify (/ 1 1) into 1 13.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.629 * [taylor]: Taking taylor expansion of re in re 13.629 * [backup-simplify]: Simplify 0 into 0 13.629 * [backup-simplify]: Simplify 1 into 1 13.629 * [backup-simplify]: Simplify (* 1 1) into 1 13.630 * [backup-simplify]: Simplify (/ 1 1) into 1 13.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.630 * [taylor]: Taking taylor expansion of im in re 13.630 * [backup-simplify]: Simplify im into im 13.630 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.630 * [backup-simplify]: Simplify (+ 1 0) into 1 13.631 * [backup-simplify]: Simplify (sqrt 1) into 1 13.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.633 * [backup-simplify]: Simplify (+ 0 0) into 0 13.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.633 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 13.633 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.633 * [taylor]: Taking taylor expansion of re in re 13.633 * [backup-simplify]: Simplify 0 into 0 13.633 * [backup-simplify]: Simplify 1 into 1 13.634 * [backup-simplify]: Simplify (/ 1 1) into 1 13.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.634 * [taylor]: Taking taylor expansion of re in re 13.634 * [backup-simplify]: Simplify 0 into 0 13.634 * [backup-simplify]: Simplify 1 into 1 13.634 * [backup-simplify]: Simplify (* 1 1) into 1 13.635 * [backup-simplify]: Simplify (/ 1 1) into 1 13.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.635 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.635 * [taylor]: Taking taylor expansion of im in re 13.635 * [backup-simplify]: Simplify im into im 13.635 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.635 * [backup-simplify]: Simplify (+ 1 0) into 1 13.636 * [backup-simplify]: Simplify (sqrt 1) into 1 13.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.638 * [backup-simplify]: Simplify (+ 0 0) into 0 13.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.639 * [backup-simplify]: Simplify (+ 1 1) into 2 13.639 * [taylor]: Taking taylor expansion of 2 in im 13.639 * [backup-simplify]: Simplify 2 into 2 13.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.640 * [backup-simplify]: Simplify (+ 0 0) into 0 13.640 * [taylor]: Taking taylor expansion of 0 in im 13.640 * [backup-simplify]: Simplify 0 into 0 13.640 * [backup-simplify]: Simplify 2 into 2 13.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.643 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.644 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.644 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 13.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 13.644 * [taylor]: Taking taylor expansion of 1/2 in im 13.644 * [backup-simplify]: Simplify 1/2 into 1/2 13.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.645 * [taylor]: Taking taylor expansion of im in im 13.645 * [backup-simplify]: Simplify 0 into 0 13.645 * [backup-simplify]: Simplify 1 into 1 13.645 * [backup-simplify]: Simplify (* 1 1) into 1 13.645 * [backup-simplify]: Simplify (/ 1 1) into 1 13.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.647 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.651 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.651 * [backup-simplify]: Simplify (+ 0 0) into 0 13.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.652 * [backup-simplify]: Simplify (+ 0 0) into 0 13.652 * [taylor]: Taking taylor expansion of 0 in im 13.652 * [backup-simplify]: Simplify 0 into 0 13.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.655 * [backup-simplify]: Simplify 0 into 0 13.655 * [backup-simplify]: Simplify 0 into 0 13.655 * [backup-simplify]: Simplify 0 into 0 13.655 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 13.656 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 13.656 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 13.656 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 13.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.656 * [taylor]: Taking taylor expansion of re in im 13.656 * [backup-simplify]: Simplify re into re 13.656 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.656 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.656 * [taylor]: Taking taylor expansion of im in im 13.656 * [backup-simplify]: Simplify 0 into 0 13.656 * [backup-simplify]: Simplify 1 into 1 13.657 * [backup-simplify]: Simplify (* 1 1) into 1 13.657 * [backup-simplify]: Simplify (/ 1 1) into 1 13.657 * [backup-simplify]: Simplify (+ 0 1) into 1 13.658 * [backup-simplify]: Simplify (sqrt 1) into 1 13.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.660 * [backup-simplify]: Simplify (+ 0 0) into 0 13.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.660 * [taylor]: Taking taylor expansion of re in im 13.660 * [backup-simplify]: Simplify re into re 13.660 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.660 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 13.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.661 * [taylor]: Taking taylor expansion of re in re 13.661 * [backup-simplify]: Simplify 0 into 0 13.661 * [backup-simplify]: Simplify 1 into 1 13.661 * [backup-simplify]: Simplify (* 1 1) into 1 13.661 * [backup-simplify]: Simplify (/ 1 1) into 1 13.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.662 * [taylor]: Taking taylor expansion of im in re 13.662 * [backup-simplify]: Simplify im into im 13.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.662 * [backup-simplify]: Simplify (+ 1 0) into 1 13.663 * [backup-simplify]: Simplify (sqrt 1) into 1 13.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.664 * [backup-simplify]: Simplify (+ 0 0) into 0 13.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.665 * [taylor]: Taking taylor expansion of re in re 13.665 * [backup-simplify]: Simplify 0 into 0 13.665 * [backup-simplify]: Simplify 1 into 1 13.665 * [backup-simplify]: Simplify (/ 1 1) into 1 13.666 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 13.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.666 * [taylor]: Taking taylor expansion of re in re 13.666 * [backup-simplify]: Simplify 0 into 0 13.666 * [backup-simplify]: Simplify 1 into 1 13.666 * [backup-simplify]: Simplify (* 1 1) into 1 13.666 * [backup-simplify]: Simplify (/ 1 1) into 1 13.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.667 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.667 * [taylor]: Taking taylor expansion of im in re 13.667 * [backup-simplify]: Simplify im into im 13.667 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.667 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.667 * [backup-simplify]: Simplify (+ 1 0) into 1 13.668 * [backup-simplify]: Simplify (sqrt 1) into 1 13.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.670 * [backup-simplify]: Simplify (+ 0 0) into 0 13.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.670 * [taylor]: Taking taylor expansion of re in re 13.670 * [backup-simplify]: Simplify 0 into 0 13.670 * [backup-simplify]: Simplify 1 into 1 13.671 * [backup-simplify]: Simplify (/ 1 1) into 1 13.671 * [backup-simplify]: Simplify (- 1) into -1 13.672 * [backup-simplify]: Simplify (+ 1 -1) into 0 13.672 * [taylor]: Taking taylor expansion of 0 in im 13.672 * [backup-simplify]: Simplify 0 into 0 13.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.673 * [backup-simplify]: Simplify (- 0) into 0 13.673 * [backup-simplify]: Simplify (+ 0 0) into 0 13.673 * [taylor]: Taking taylor expansion of 0 in im 13.673 * [backup-simplify]: Simplify 0 into 0 13.673 * [backup-simplify]: Simplify 0 into 0 13.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.675 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.677 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.678 * [backup-simplify]: Simplify (- 0) into 0 13.678 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 13.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 13.678 * [taylor]: Taking taylor expansion of 1/2 in im 13.678 * [backup-simplify]: Simplify 1/2 into 1/2 13.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.678 * [taylor]: Taking taylor expansion of im in im 13.679 * [backup-simplify]: Simplify 0 into 0 13.679 * [backup-simplify]: Simplify 1 into 1 13.679 * [backup-simplify]: Simplify (* 1 1) into 1 13.679 * [backup-simplify]: Simplify (/ 1 1) into 1 13.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.681 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify 0 into 0 13.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.684 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.684 * [backup-simplify]: Simplify (+ 0 0) into 0 13.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.686 * [backup-simplify]: Simplify (- 0) into 0 13.687 * [backup-simplify]: Simplify (+ 0 0) into 0 13.687 * [taylor]: Taking taylor expansion of 0 in im 13.687 * [backup-simplify]: Simplify 0 into 0 13.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 13.691 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) 13.691 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0 13.691 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re 13.691 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 13.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.691 * [taylor]: Taking taylor expansion of 2.0 in re 13.691 * [backup-simplify]: Simplify 2.0 into 2.0 13.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.692 * [taylor]: Taking taylor expansion of im in re 13.692 * [backup-simplify]: Simplify im into im 13.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 13.692 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 13.692 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 13.692 * [taylor]: Taking taylor expansion of re in re 13.692 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify 1 into 1 13.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 13.692 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 13.693 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.693 * [taylor]: Taking taylor expansion of im in re 13.693 * [backup-simplify]: Simplify im into im 13.693 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.693 * [taylor]: Taking taylor expansion of re in re 13.693 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify 1 into 1 13.693 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.693 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 13.693 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.693 * [backup-simplify]: Simplify (+ 0 0) into 0 13.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.694 * [backup-simplify]: Simplify (+ 0 im) into im 13.694 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.694 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 13.694 * [backup-simplify]: Simplify (+ 1 0) into 1 13.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 13.695 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 13.695 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 13.695 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 13.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.695 * [taylor]: Taking taylor expansion of 2.0 in im 13.695 * [backup-simplify]: Simplify 2.0 into 2.0 13.695 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.696 * [taylor]: Taking taylor expansion of im in im 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.696 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 13.696 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 13.696 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 13.696 * [taylor]: Taking taylor expansion of re in im 13.696 * [backup-simplify]: Simplify re into re 13.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 13.696 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 13.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.696 * [taylor]: Taking taylor expansion of im in im 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.696 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.696 * [taylor]: Taking taylor expansion of re in im 13.696 * [backup-simplify]: Simplify re into re 13.696 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.696 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 13.697 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.697 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.697 * [backup-simplify]: Simplify (+ 0 0) into 0 13.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.697 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 13.697 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 13.697 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 13.698 * [backup-simplify]: Simplify (+ 0 0) into 0 13.698 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 13.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 13.698 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 13.698 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 13.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.698 * [taylor]: Taking taylor expansion of 2.0 in im 13.698 * [backup-simplify]: Simplify 2.0 into 2.0 13.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.702 * [taylor]: Taking taylor expansion of im in im 13.702 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify 1 into 1 13.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 13.702 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 13.702 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 13.702 * [taylor]: Taking taylor expansion of re in im 13.702 * [backup-simplify]: Simplify re into re 13.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 13.702 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 13.702 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.702 * [taylor]: Taking taylor expansion of im in im 13.702 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify 1 into 1 13.702 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.702 * [taylor]: Taking taylor expansion of re in im 13.702 * [backup-simplify]: Simplify re into re 13.702 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.703 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 13.703 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.703 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.703 * [backup-simplify]: Simplify (+ 0 0) into 0 13.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.703 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 13.703 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 13.703 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 13.704 * [backup-simplify]: Simplify (+ 0 0) into 0 13.704 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 13.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 13.704 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.704 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 13.704 * [taylor]: Taking taylor expansion of 0 in re 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.706 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 13.707 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 13.707 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 13.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 13.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.707 * [taylor]: Taking taylor expansion of 2.0 in re 13.707 * [backup-simplify]: Simplify 2.0 into 2.0 13.707 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.707 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 13.707 * [taylor]: Taking taylor expansion of 1/2 in re 13.707 * [backup-simplify]: Simplify 1/2 into 1/2 13.708 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 13.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 13.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 13.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.708 * [taylor]: Taking taylor expansion of re in re 13.708 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify 1 into 1 13.708 * [backup-simplify]: Simplify (/ 1 1) into 1 13.709 * [backup-simplify]: Simplify (sqrt 0) into 0 13.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.710 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 13.711 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 13.713 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 13.715 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 13.715 * [backup-simplify]: Simplify 0 into 0 13.715 * [backup-simplify]: Simplify (* 1 1) into 1 13.716 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 13.716 * [backup-simplify]: Simplify (+ 1 0) into 1 13.716 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 13.716 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 13.717 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 13.717 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 13.718 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.719 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 13.720 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 13.720 * [taylor]: Taking taylor expansion of 0 in re 13.720 * [backup-simplify]: Simplify 0 into 0 13.720 * [backup-simplify]: Simplify 0 into 0 13.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.723 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.723 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 13.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.725 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 13.727 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 13.729 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 13.729 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.730 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 13.730 * [backup-simplify]: Simplify (+ 0 0) into 0 13.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 13.731 * [backup-simplify]: Simplify (+ 0 0) into 0 13.731 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 13.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 13.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.733 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 13.736 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 13.736 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 13.736 * [taylor]: Taking taylor expansion of 1/16 in re 13.736 * [backup-simplify]: Simplify 1/16 into 1/16 13.736 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 13.736 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 13.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.736 * [taylor]: Taking taylor expansion of 2.0 in re 13.736 * [backup-simplify]: Simplify 2.0 into 2.0 13.737 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.738 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 13.738 * [taylor]: Taking taylor expansion of 1/2 in re 13.738 * [backup-simplify]: Simplify 1/2 into 1/2 13.738 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 13.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 13.740 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 13.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 13.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 13.740 * [taylor]: Taking taylor expansion of (pow re 5) in re 13.740 * [taylor]: Taking taylor expansion of re in re 13.740 * [backup-simplify]: Simplify 0 into 0 13.740 * [backup-simplify]: Simplify 1 into 1 13.741 * [backup-simplify]: Simplify (* 1 1) into 1 13.741 * [backup-simplify]: Simplify (* 1 1) into 1 13.742 * [backup-simplify]: Simplify (* 1 1) into 1 13.742 * [backup-simplify]: Simplify (/ 1 1) into 1 13.742 * [backup-simplify]: Simplify (sqrt 0) into 0 13.744 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.753 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.758 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 13.760 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 13.763 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 13.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 13.766 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 13.769 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 13.772 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 13.774 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 13.775 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 13.780 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 13.782 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 13.784 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 13.791 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) 13.791 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 13.791 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 13.791 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 13.791 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 13.791 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.791 * [taylor]: Taking taylor expansion of 2.0 in re 13.791 * [backup-simplify]: Simplify 2.0 into 2.0 13.791 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.792 * [taylor]: Taking taylor expansion of im in re 13.792 * [backup-simplify]: Simplify im into im 13.792 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 13.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 13.792 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 13.792 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 13.792 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.792 * [taylor]: Taking taylor expansion of re in re 13.792 * [backup-simplify]: Simplify 0 into 0 13.792 * [backup-simplify]: Simplify 1 into 1 13.793 * [backup-simplify]: Simplify (/ 1 1) into 1 13.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.793 * [taylor]: Taking taylor expansion of re in re 13.793 * [backup-simplify]: Simplify 0 into 0 13.793 * [backup-simplify]: Simplify 1 into 1 13.793 * [backup-simplify]: Simplify (* 1 1) into 1 13.793 * [backup-simplify]: Simplify (/ 1 1) into 1 13.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.793 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.793 * [taylor]: Taking taylor expansion of im in re 13.793 * [backup-simplify]: Simplify im into im 13.793 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.794 * [backup-simplify]: Simplify (+ 1 0) into 1 13.794 * [backup-simplify]: Simplify (sqrt 1) into 1 13.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.796 * [backup-simplify]: Simplify (+ 0 0) into 0 13.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.797 * [backup-simplify]: Simplify (+ 1 1) into 2 13.797 * [backup-simplify]: Simplify (/ 1 2) into 1/2 13.798 * [backup-simplify]: Simplify (sqrt 0) into 0 13.799 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 13.799 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 13.799 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.799 * [taylor]: Taking taylor expansion of 2.0 in im 13.799 * [backup-simplify]: Simplify 2.0 into 2.0 13.800 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.801 * [taylor]: Taking taylor expansion of im in im 13.801 * [backup-simplify]: Simplify 0 into 0 13.801 * [backup-simplify]: Simplify 1 into 1 13.802 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 13.802 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 13.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 13.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.802 * [taylor]: Taking taylor expansion of re in im 13.802 * [backup-simplify]: Simplify re into re 13.802 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.802 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.802 * [taylor]: Taking taylor expansion of re in im 13.802 * [backup-simplify]: Simplify re into re 13.802 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.802 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.802 * [taylor]: Taking taylor expansion of im in im 13.803 * [backup-simplify]: Simplify 0 into 0 13.803 * [backup-simplify]: Simplify 1 into 1 13.803 * [backup-simplify]: Simplify (* 1 1) into 1 13.809 * [backup-simplify]: Simplify (/ 1 1) into 1 13.810 * [backup-simplify]: Simplify (+ 0 1) into 1 13.810 * [backup-simplify]: Simplify (sqrt 1) into 1 13.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.812 * [backup-simplify]: Simplify (+ 0 0) into 0 13.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.813 * [backup-simplify]: Simplify (+ 0 1) into 1 13.814 * [backup-simplify]: Simplify (/ 1 1) into 1 13.814 * [backup-simplify]: Simplify (sqrt 0) into 0 13.815 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.816 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 13.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.816 * [taylor]: Taking taylor expansion of 2.0 in im 13.816 * [backup-simplify]: Simplify 2.0 into 2.0 13.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.817 * [taylor]: Taking taylor expansion of im in im 13.817 * [backup-simplify]: Simplify 0 into 0 13.817 * [backup-simplify]: Simplify 1 into 1 13.818 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 13.818 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 13.818 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 13.818 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.818 * [taylor]: Taking taylor expansion of re in im 13.818 * [backup-simplify]: Simplify re into re 13.818 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.818 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.818 * [taylor]: Taking taylor expansion of re in im 13.818 * [backup-simplify]: Simplify re into re 13.818 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.818 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.818 * [taylor]: Taking taylor expansion of im in im 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify 1 into 1 13.819 * [backup-simplify]: Simplify (* 1 1) into 1 13.819 * [backup-simplify]: Simplify (/ 1 1) into 1 13.819 * [backup-simplify]: Simplify (+ 0 1) into 1 13.819 * [backup-simplify]: Simplify (sqrt 1) into 1 13.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.821 * [backup-simplify]: Simplify (+ 0 0) into 0 13.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.822 * [backup-simplify]: Simplify (+ 0 1) into 1 13.822 * [backup-simplify]: Simplify (/ 1 1) into 1 13.822 * [backup-simplify]: Simplify (sqrt 0) into 0 13.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.823 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.823 * [taylor]: Taking taylor expansion of 0 in re 13.824 * [backup-simplify]: Simplify 0 into 0 13.824 * [backup-simplify]: Simplify 0 into 0 13.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.825 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.825 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 13.825 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 13.825 * [taylor]: Taking taylor expansion of +nan.0 in re 13.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.826 * [taylor]: Taking taylor expansion of 2.0 in re 13.826 * [backup-simplify]: Simplify 2.0 into 2.0 13.826 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.827 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.828 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.829 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.829 * [backup-simplify]: Simplify 0 into 0 13.829 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 13.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 13.830 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 13.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.832 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 13.832 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 13.832 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 13.832 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 13.832 * [taylor]: Taking taylor expansion of +nan.0 in re 13.832 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.832 * [taylor]: Taking taylor expansion of 2.0 in re 13.832 * [backup-simplify]: Simplify 2.0 into 2.0 13.832 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.833 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 13.833 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 13.833 * [taylor]: Taking taylor expansion of +nan.0 in re 13.833 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.833 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 13.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.833 * [taylor]: Taking taylor expansion of 2.0 in re 13.833 * [backup-simplify]: Simplify 2.0 into 2.0 13.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.834 * [taylor]: Taking taylor expansion of re in re 13.834 * [backup-simplify]: Simplify 0 into 0 13.834 * [backup-simplify]: Simplify 1 into 1 13.834 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.835 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.836 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 13.836 * [backup-simplify]: Simplify (- 0) into 0 13.837 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 13.838 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 13.839 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.840 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 13.840 * [backup-simplify]: Simplify (- 0) into 0 13.840 * [backup-simplify]: Simplify 0 into 0 13.840 * [backup-simplify]: Simplify 0 into 0 13.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 13.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.841 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 13.842 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 13.842 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 13.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 13.843 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 13.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.846 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 13.846 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 13.846 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 13.846 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 13.846 * [taylor]: Taking taylor expansion of +nan.0 in re 13.846 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.846 * [taylor]: Taking taylor expansion of 2.0 in re 13.846 * [backup-simplify]: Simplify 2.0 into 2.0 13.846 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.847 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 13.847 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 13.847 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 13.847 * [taylor]: Taking taylor expansion of +nan.0 in re 13.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.847 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 13.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.847 * [taylor]: Taking taylor expansion of 2.0 in re 13.847 * [backup-simplify]: Simplify 2.0 into 2.0 13.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.848 * [taylor]: Taking taylor expansion of re in re 13.848 * [backup-simplify]: Simplify 0 into 0 13.848 * [backup-simplify]: Simplify 1 into 1 13.848 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 13.848 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 13.848 * [taylor]: Taking taylor expansion of +nan.0 in re 13.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.848 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 13.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.848 * [taylor]: Taking taylor expansion of 2.0 in re 13.848 * [backup-simplify]: Simplify 2.0 into 2.0 13.849 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.849 * [taylor]: Taking taylor expansion of re in re 13.849 * [backup-simplify]: Simplify 0 into 0 13.849 * [backup-simplify]: Simplify 1 into 1 13.849 * [backup-simplify]: Simplify (* 1 1) into 1 13.850 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.851 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.852 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 13.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.856 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 13.856 * [backup-simplify]: Simplify (- 0) into 0 13.856 * [backup-simplify]: Simplify (+ 0 0) into 0 13.857 * [backup-simplify]: Simplify (- 0) into 0 13.858 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 13.859 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 13.860 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.863 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 13.863 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 13.863 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 13.863 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 13.863 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 13.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.863 * [taylor]: Taking taylor expansion of 2.0 in re 13.863 * [backup-simplify]: Simplify 2.0 into 2.0 13.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.864 * [taylor]: Taking taylor expansion of im in re 13.864 * [backup-simplify]: Simplify im into im 13.864 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 13.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 13.864 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 13.864 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 13.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 13.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 13.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.864 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.864 * [taylor]: Taking taylor expansion of re in re 13.864 * [backup-simplify]: Simplify 0 into 0 13.864 * [backup-simplify]: Simplify 1 into 1 13.865 * [backup-simplify]: Simplify (* 1 1) into 1 13.865 * [backup-simplify]: Simplify (/ 1 1) into 1 13.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.865 * [taylor]: Taking taylor expansion of im in re 13.865 * [backup-simplify]: Simplify im into im 13.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.865 * [backup-simplify]: Simplify (+ 1 0) into 1 13.866 * [backup-simplify]: Simplify (sqrt 1) into 1 13.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.867 * [backup-simplify]: Simplify (+ 0 0) into 0 13.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.867 * [taylor]: Taking taylor expansion of re in re 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify 1 into 1 13.867 * [backup-simplify]: Simplify (/ 1 1) into 1 13.868 * [backup-simplify]: Simplify (- 1) into -1 13.868 * [backup-simplify]: Simplify (+ 1 -1) into 0 13.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.869 * [backup-simplify]: Simplify (- 0) into 0 13.869 * [backup-simplify]: Simplify (+ 0 0) into 0 13.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.870 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.872 * [backup-simplify]: Simplify (- 0) into 0 13.872 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 13.872 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 13.872 * [backup-simplify]: Simplify (sqrt 0) into 0 13.873 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 13.873 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 13.873 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.873 * [taylor]: Taking taylor expansion of 2.0 in im 13.873 * [backup-simplify]: Simplify 2.0 into 2.0 13.873 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.873 * [taylor]: Taking taylor expansion of im in im 13.874 * [backup-simplify]: Simplify 0 into 0 13.874 * [backup-simplify]: Simplify 1 into 1 13.874 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 13.874 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 13.874 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 13.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.874 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.874 * [taylor]: Taking taylor expansion of re in im 13.874 * [backup-simplify]: Simplify re into re 13.874 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.874 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.874 * [taylor]: Taking taylor expansion of im in im 13.874 * [backup-simplify]: Simplify 0 into 0 13.874 * [backup-simplify]: Simplify 1 into 1 13.875 * [backup-simplify]: Simplify (* 1 1) into 1 13.875 * [backup-simplify]: Simplify (/ 1 1) into 1 13.875 * [backup-simplify]: Simplify (+ 0 1) into 1 13.875 * [backup-simplify]: Simplify (sqrt 1) into 1 13.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.876 * [backup-simplify]: Simplify (+ 0 0) into 0 13.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.877 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.877 * [taylor]: Taking taylor expansion of re in im 13.877 * [backup-simplify]: Simplify re into re 13.877 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.877 * [backup-simplify]: Simplify (+ 1 0) into 1 13.877 * [backup-simplify]: Simplify (/ 1 1) into 1 13.878 * [backup-simplify]: Simplify (sqrt 0) into 0 13.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.879 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 13.879 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 13.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.879 * [taylor]: Taking taylor expansion of 2.0 in im 13.879 * [backup-simplify]: Simplify 2.0 into 2.0 13.879 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.880 * [taylor]: Taking taylor expansion of im in im 13.880 * [backup-simplify]: Simplify 0 into 0 13.880 * [backup-simplify]: Simplify 1 into 1 13.880 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 13.880 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 13.880 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 13.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 13.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 13.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.880 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.880 * [taylor]: Taking taylor expansion of re in im 13.880 * [backup-simplify]: Simplify re into re 13.880 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.880 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.880 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.880 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.880 * [taylor]: Taking taylor expansion of im in im 13.880 * [backup-simplify]: Simplify 0 into 0 13.880 * [backup-simplify]: Simplify 1 into 1 13.881 * [backup-simplify]: Simplify (* 1 1) into 1 13.881 * [backup-simplify]: Simplify (/ 1 1) into 1 13.881 * [backup-simplify]: Simplify (+ 0 1) into 1 13.881 * [backup-simplify]: Simplify (sqrt 1) into 1 13.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.883 * [backup-simplify]: Simplify (+ 0 0) into 0 13.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.883 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.883 * [taylor]: Taking taylor expansion of re in im 13.883 * [backup-simplify]: Simplify re into re 13.883 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.883 * [backup-simplify]: Simplify (+ 1 0) into 1 13.884 * [backup-simplify]: Simplify (/ 1 1) into 1 13.884 * [backup-simplify]: Simplify (sqrt 0) into 0 13.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.885 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.885 * [taylor]: Taking taylor expansion of 0 in re 13.885 * [backup-simplify]: Simplify 0 into 0 13.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.887 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.887 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 13.888 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 13.888 * [taylor]: Taking taylor expansion of +nan.0 in re 13.888 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.888 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.888 * [taylor]: Taking taylor expansion of 2.0 in re 13.888 * [backup-simplify]: Simplify 2.0 into 2.0 13.888 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.889 * [backup-simplify]: Simplify 0 into 0 13.889 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 13.889 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 13.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 13.890 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 13.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.892 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 13.892 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 13.892 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 13.892 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 13.892 * [taylor]: Taking taylor expansion of +nan.0 in re 13.892 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.892 * [taylor]: Taking taylor expansion of 2.0 in re 13.892 * [backup-simplify]: Simplify 2.0 into 2.0 13.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.893 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 13.893 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 13.893 * [taylor]: Taking taylor expansion of +nan.0 in re 13.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.893 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 13.893 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.893 * [taylor]: Taking taylor expansion of 2.0 in re 13.893 * [backup-simplify]: Simplify 2.0 into 2.0 13.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.894 * [taylor]: Taking taylor expansion of re in re 13.894 * [backup-simplify]: Simplify 0 into 0 13.894 * [backup-simplify]: Simplify 1 into 1 13.895 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.895 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.896 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.898 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 13.899 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 13.900 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.900 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.901 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.908 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.908 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.909 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 13.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 13.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 13.911 * [backup-simplify]: Simplify (- 0) into 0 13.911 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 13.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 13.911 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 13.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.914 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 13.914 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 13.914 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 13.914 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 13.914 * [taylor]: Taking taylor expansion of +nan.0 in re 13.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.914 * [taylor]: Taking taylor expansion of 2.0 in re 13.914 * [backup-simplify]: Simplify 2.0 into 2.0 13.915 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.916 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 13.916 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 13.916 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 13.916 * [taylor]: Taking taylor expansion of +nan.0 in re 13.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.916 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 13.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.916 * [taylor]: Taking taylor expansion of 2.0 in re 13.916 * [backup-simplify]: Simplify 2.0 into 2.0 13.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.917 * [taylor]: Taking taylor expansion of re in re 13.917 * [backup-simplify]: Simplify 0 into 0 13.917 * [backup-simplify]: Simplify 1 into 1 13.918 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.918 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 13.918 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 13.918 * [taylor]: Taking taylor expansion of +nan.0 in re 13.918 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.918 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 13.918 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.918 * [taylor]: Taking taylor expansion of 2.0 in re 13.918 * [backup-simplify]: Simplify 2.0 into 2.0 13.919 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.920 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.920 * [taylor]: Taking taylor expansion of re in re 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 1 into 1 13.920 * [backup-simplify]: Simplify (* 1 1) into 1 13.921 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 13.922 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 13.925 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 13.925 * [backup-simplify]: Simplify (- 0) into 0 13.927 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 13.929 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 13.932 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 13.934 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 13.936 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.941 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 13.941 * * * [progress]: simplifying candidates 13.941 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 13.941 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 13.941 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 13.941 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 13.942 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 13.942 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 13.942 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 13.942 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 13.942 * * [simplify]: iters left: 6 (8 enodes) 13.946 * * [simplify]: iters left: 5 (26 enodes) 13.953 * * [simplify]: Extracting #0: cost 1 inf + 0 13.953 * * [simplify]: Extracting #1: cost 4 inf + 0 13.953 * * [simplify]: Extracting #2: cost 7 inf + 0 13.953 * * [simplify]: Extracting #3: cost 10 inf + 0 13.953 * * [simplify]: Extracting #4: cost 14 inf + 0 13.953 * * [simplify]: Extracting #5: cost 10 inf + 84 13.953 * * [simplify]: Extracting #6: cost 8 inf + 166 13.953 * * [simplify]: Extracting #7: cost 4 inf + 854 13.954 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.954 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.955 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.955 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 13.955 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 13.956 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 13.956 * * [simplify]: iters left: 6 (7 enodes) 13.958 * * [simplify]: iters left: 5 (22 enodes) 13.961 * * [simplify]: Extracting #0: cost 1 inf + 0 13.961 * * [simplify]: Extracting #1: cost 3 inf + 0 13.961 * * [simplify]: Extracting #2: cost 5 inf + 0 13.961 * * [simplify]: Extracting #3: cost 8 inf + 0 13.961 * * [simplify]: Extracting #4: cost 12 inf + 0 13.961 * * [simplify]: Extracting #5: cost 10 inf + 2 13.962 * * [simplify]: Extracting #6: cost 1 inf + 936 13.962 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.962 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.962 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 13.962 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 13.962 * [simplify]: Simplifying (sqrt 1) 13.962 * * [simplify]: iters left: 1 (2 enodes) 13.964 * * [simplify]: Extracting #0: cost 1 inf + 0 13.964 * * [simplify]: Extracting #1: cost 0 inf + 1 13.964 * [simplify]: Simplified to 1 13.964 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 13.965 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 13.965 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 13.965 * * [simplify]: iters left: 6 (9 enodes) 13.967 * * [simplify]: iters left: 5 (45 enodes) 13.980 * * [simplify]: iters left: 4 (100 enodes) 14.025 * * [simplify]: iters left: 3 (201 enodes) 14.113 * * [simplify]: iters left: 2 (406 enodes) 14.238 * * [simplify]: Extracting #0: cost 1 inf + 0 14.238 * * [simplify]: Extracting #1: cost 3 inf + 0 14.238 * * [simplify]: Extracting #2: cost 6 inf + 0 14.238 * * [simplify]: Extracting #3: cost 62 inf + 0 14.239 * * [simplify]: Extracting #4: cost 166 inf + 460 14.240 * * [simplify]: Extracting #5: cost 131 inf + 12951 14.244 * * [simplify]: Extracting #6: cost 49 inf + 45746 14.252 * * [simplify]: Extracting #7: cost 1 inf + 66256 14.261 * * [simplify]: Extracting #8: cost 0 inf + 65919 14.271 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 14.271 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 14.272 * * * * [progress]: [ 11 / 109 ] simplifiying candidate # 14.272 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.272 * * [simplify]: iters left: 6 (8 enodes) 14.276 * * [simplify]: iters left: 5 (37 enodes) 14.290 * * [simplify]: iters left: 4 (67 enodes) 14.313 * * [simplify]: iters left: 3 (123 enodes) 14.365 * * [simplify]: iters left: 2 (278 enodes) 14.484 * * [simplify]: Extracting #0: cost 1 inf + 0 14.484 * * [simplify]: Extracting #1: cost 3 inf + 0 14.484 * * [simplify]: Extracting #2: cost 50 inf + 0 14.485 * * [simplify]: Extracting #3: cost 150 inf + 0 14.487 * * [simplify]: Extracting #4: cost 194 inf + 1180 14.492 * * [simplify]: Extracting #5: cost 123 inf + 12421 14.501 * * [simplify]: Extracting #6: cost 12 inf + 33804 14.509 * * [simplify]: Extracting #7: cost 0 inf + 36129 14.517 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.517 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 14.517 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 14.517 * [simplify]: Simplifying (+ (* re re) (* im im)) 14.517 * * [simplify]: iters left: 4 (5 enodes) 14.518 * * [simplify]: iters left: 3 (16 enodes) 14.521 * * [simplify]: Extracting #0: cost 1 inf + 0 14.521 * * [simplify]: Extracting #1: cost 4 inf + 0 14.521 * * [simplify]: Extracting #2: cost 8 inf + 0 14.521 * * [simplify]: Extracting #3: cost 4 inf + 84 14.521 * * [simplify]: Extracting #4: cost 0 inf + 410 14.521 * [simplify]: Simplified to (+ (* re re) (* im im)) 14.521 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 14.521 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 14.521 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 14.521 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 14.521 * * [simplify]: iters left: 5 (6 enodes) 14.523 * * [simplify]: iters left: 4 (19 enodes) 14.529 * * [simplify]: Extracting #0: cost 1 inf + 0 14.529 * * [simplify]: Extracting #1: cost 3 inf + 0 14.529 * * [simplify]: Extracting #2: cost 6 inf + 0 14.529 * * [simplify]: Extracting #3: cost 10 inf + 0 14.529 * * [simplify]: Extracting #4: cost 6 inf + 84 14.529 * * [simplify]: Extracting #5: cost 0 inf + 734 14.530 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.530 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) 14.530 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 14.530 * * * * [progress]: [ 16 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 14.530 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 14.530 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 14.530 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 14.530 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 14.530 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 14.531 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 14.531 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 14.531 * [simplify]: Simplifying (sqrt 2.0) 14.531 * * [simplify]: iters left: 1 (2 enodes) 14.533 * * [simplify]: Extracting #0: cost 1 inf + 0 14.533 * * [simplify]: Extracting #1: cost 3 inf + 0 14.533 * * [simplify]: Extracting #2: cost 2 inf + 1 14.533 * * [simplify]: Extracting #3: cost 0 inf + 83 14.533 * [simplify]: Simplified to (sqrt 2.0) 14.533 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 14.533 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 14.534 * [simplify]: Simplifying (* 2.0 (* im im)) 14.534 * * [simplify]: iters left: 4 (4 enodes) 14.536 * * [simplify]: iters left: 3 (15 enodes) 14.541 * * [simplify]: iters left: 2 (19 enodes) 14.547 * * [simplify]: Extracting #0: cost 1 inf + 0 14.547 * * [simplify]: Extracting #1: cost 6 inf + 0 14.547 * * [simplify]: Extracting #2: cost 5 inf + 43 14.547 * * [simplify]: Extracting #3: cost 0 inf + 332 14.548 * [simplify]: Simplified to (* 2.0 (* im im)) 14.548 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 14.548 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 14.548 * [simplify]: Simplifying (* 2.0 (* im im)) 14.548 * * [simplify]: iters left: 4 (4 enodes) 14.551 * * [simplify]: iters left: 3 (15 enodes) 14.556 * * [simplify]: iters left: 2 (19 enodes) 14.561 * * [simplify]: Extracting #0: cost 1 inf + 0 14.561 * * [simplify]: Extracting #1: cost 6 inf + 0 14.561 * * [simplify]: Extracting #2: cost 5 inf + 43 14.561 * * [simplify]: Extracting #3: cost 0 inf + 332 14.562 * [simplify]: Simplified to (* 2.0 (* im im)) 14.562 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 14.562 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 14.562 * [simplify]: Simplifying (* 2.0 (* im im)) 14.562 * * [simplify]: iters left: 4 (4 enodes) 14.565 * * [simplify]: iters left: 3 (15 enodes) 14.570 * * [simplify]: iters left: 2 (19 enodes) 14.575 * * [simplify]: Extracting #0: cost 1 inf + 0 14.575 * * [simplify]: Extracting #1: cost 6 inf + 0 14.575 * * [simplify]: Extracting #2: cost 5 inf + 43 14.576 * * [simplify]: Extracting #3: cost 0 inf + 332 14.576 * [simplify]: Simplified to (* 2.0 (* im im)) 14.576 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 14.576 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 14.576 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 14.576 * * * * [progress]: [ 29 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> 14.576 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 14.577 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 14.577 * * [simplify]: iters left: 6 (9 enodes) 14.581 * * [simplify]: iters left: 5 (31 enodes) 14.589 * * [simplify]: iters left: 4 (35 enodes) 14.598 * * [simplify]: Extracting #0: cost 1 inf + 0 14.598 * * [simplify]: Extracting #1: cost 5 inf + 0 14.598 * * [simplify]: Extracting #2: cost 10 inf + 0 14.599 * * [simplify]: Extracting #3: cost 11 inf + 1 14.599 * * [simplify]: Extracting #4: cost 12 inf + 143 14.599 * * [simplify]: Extracting #5: cost 14 inf + 184 14.599 * * [simplify]: Extracting #6: cost 10 inf + 308 14.599 * * [simplify]: Extracting #7: cost 7 inf + 794 14.600 * * [simplify]: Extracting #8: cost 1 inf + 2056 14.601 * * [simplify]: Extracting #9: cost 0 inf + 2288 14.601 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 14.602 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 14.602 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 32 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 14.602 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 14.603 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 14.603 * * [simplify]: iters left: 6 (7 enodes) 14.606 * * [simplify]: iters left: 5 (23 enodes) 14.612 * * [simplify]: Extracting #0: cost 1 inf + 0 14.612 * * [simplify]: Extracting #1: cost 4 inf + 0 14.612 * * [simplify]: Extracting #2: cost 5 inf + 1 14.612 * * [simplify]: Extracting #3: cost 8 inf + 1 14.612 * * [simplify]: Extracting #4: cost 10 inf + 42 14.613 * * [simplify]: Extracting #5: cost 8 inf + 84 14.613 * * [simplify]: Extracting #6: cost 1 inf + 936 14.613 * * [simplify]: Extracting #7: cost 0 inf + 1138 14.614 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 14.614 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 14.614 * * * * [progress]: [ 41 / 109 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 14.614 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 14.614 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 14.614 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 14.615 * [simplify]: Simplifying (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 14.615 * * [simplify]: iters left: 6 (14 enodes) 14.622 * * [simplify]: iters left: 5 (49 enodes) 14.636 * * [simplify]: iters left: 4 (56 enodes) 14.651 * * [simplify]: Extracting #0: cost 1 inf + 0 14.651 * * [simplify]: Extracting #1: cost 5 inf + 0 14.652 * * [simplify]: Extracting #2: cost 10 inf + 0 14.652 * * [simplify]: Extracting #3: cost 14 inf + 0 14.652 * * [simplify]: Extracting #4: cost 22 inf + 0 14.652 * * [simplify]: Extracting #5: cost 23 inf + 3 14.652 * * [simplify]: Extracting #6: cost 16 inf + 769 14.653 * * [simplify]: Extracting #7: cost 12 inf + 1408 14.654 * * [simplify]: Extracting #8: cost 3 inf + 3736 14.656 * * [simplify]: Extracting #9: cost 0 inf + 4833 14.657 * [simplify]: Simplified to (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 14.657 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 14.657 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 14.657 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 14.657 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 14.658 * [simplify]: Simplifying (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 14.658 * * [simplify]: iters left: 6 (16 enodes) 14.666 * * [simplify]: iters left: 5 (58 enodes) 14.689 * * [simplify]: iters left: 4 (143 enodes) 14.730 * * [simplify]: iters left: 3 (451 enodes) 14.996 * * [simplify]: Extracting #0: cost 1 inf + 0 14.996 * * [simplify]: Extracting #1: cost 141 inf + 0 14.997 * * [simplify]: Extracting #2: cost 277 inf + 168 15.000 * * [simplify]: Extracting #3: cost 284 inf + 1154 15.004 * * [simplify]: Extracting #4: cost 275 inf + 3117 15.008 * * [simplify]: Extracting #5: cost 274 inf + 3320 15.013 * * [simplify]: Extracting #6: cost 255 inf + 8710 15.030 * * [simplify]: Extracting #7: cost 165 inf + 40505 15.083 * * [simplify]: Extracting #8: cost 16 inf + 102657 15.144 * * [simplify]: Extracting #9: cost 0 inf + 108984 15.207 * [simplify]: Simplified to (/ (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 15.207 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (/ (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) 15.208 * * * * [progress]: [ 48 / 109 ] simplifiying candidate # 15.208 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 15.208 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 15.208 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) 15.208 * * [simplify]: iters left: 6 (10 enodes) 15.214 * * [simplify]: iters left: 5 (37 enodes) 15.221 * * [simplify]: iters left: 4 (50 enodes) 15.229 * * [simplify]: iters left: 3 (63 enodes) 15.238 * * [simplify]: iters left: 2 (80 enodes) 15.249 * * [simplify]: iters left: 1 (86 enodes) 15.268 * * [simplify]: Extracting #0: cost 1 inf + 0 15.268 * * [simplify]: Extracting #1: cost 16 inf + 0 15.268 * * [simplify]: Extracting #2: cost 28 inf + 2 15.269 * * [simplify]: Extracting #3: cost 24 inf + 251 15.269 * * [simplify]: Extracting #4: cost 25 inf + 333 15.269 * * [simplify]: Extracting #5: cost 25 inf + 374 15.270 * * [simplify]: Extracting #6: cost 11 inf + 3165 15.273 * * [simplify]: Extracting #7: cost 1 inf + 5710 15.277 * * [simplify]: Extracting #8: cost 0 inf + 5993 15.280 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) 15.280 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) 15.280 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 15.280 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 15.280 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 15.281 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 15.281 * * [simplify]: iters left: 6 (16 enodes) 15.285 * * [simplify]: iters left: 5 (59 enodes) 15.294 * * [simplify]: iters left: 4 (78 enodes) 15.304 * * [simplify]: iters left: 3 (85 enodes) 15.320 * * [simplify]: iters left: 2 (88 enodes) 15.334 * * [simplify]: Extracting #0: cost 1 inf + 0 15.334 * * [simplify]: Extracting #1: cost 11 inf + 0 15.334 * * [simplify]: Extracting #2: cost 22 inf + 0 15.334 * * [simplify]: Extracting #3: cost 26 inf + 0 15.335 * * [simplify]: Extracting #4: cost 34 inf + 0 15.335 * * [simplify]: Extracting #5: cost 35 inf + 3 15.335 * * [simplify]: Extracting #6: cost 31 inf + 533 15.335 * * [simplify]: Extracting #7: cost 24 inf + 1628 15.336 * * [simplify]: Extracting #8: cost 17 inf + 2881 15.337 * * [simplify]: Extracting #9: cost 7 inf + 7347 15.339 * * [simplify]: Extracting #10: cost 0 inf + 11007 15.341 * * [simplify]: Extracting #11: cost 0 inf + 10967 15.342 * [simplify]: Simplified to (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) 15.343 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.343 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.343 * * [simplify]: iters left: 6 (14 enodes) 15.346 * * [simplify]: iters left: 5 (47 enodes) 15.359 * * [simplify]: iters left: 4 (51 enodes) 15.373 * * [simplify]: Extracting #0: cost 1 inf + 0 15.373 * * [simplify]: Extracting #1: cost 4 inf + 0 15.373 * * [simplify]: Extracting #2: cost 8 inf + 0 15.373 * * [simplify]: Extracting #3: cost 12 inf + 0 15.373 * * [simplify]: Extracting #4: cost 20 inf + 0 15.373 * * [simplify]: Extracting #5: cost 21 inf + 3 15.374 * * [simplify]: Extracting #6: cost 15 inf + 817 15.374 * * [simplify]: Extracting #7: cost 11 inf + 1306 15.375 * * [simplify]: Extracting #8: cost 2 inf + 3364 15.376 * * [simplify]: Extracting #9: cost 0 inf + 4209 15.379 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 15.379 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 15.379 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 15.380 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) 15.380 * * [simplify]: iters left: 6 (16 enodes) 15.388 * * [simplify]: iters left: 5 (56 enodes) 15.404 * * [simplify]: iters left: 4 (64 enodes) 15.421 * * [simplify]: iters left: 3 (67 enodes) 15.440 * * [simplify]: Extracting #0: cost 1 inf + 0 15.440 * * [simplify]: Extracting #1: cost 7 inf + 0 15.440 * * [simplify]: Extracting #2: cost 15 inf + 0 15.440 * * [simplify]: Extracting #3: cost 20 inf + 0 15.441 * * [simplify]: Extracting #4: cost 28 inf + 0 15.441 * * [simplify]: Extracting #5: cost 28 inf + 45 15.441 * * [simplify]: Extracting #6: cost 22 inf + 859 15.442 * * [simplify]: Extracting #7: cost 17 inf + 1750 15.443 * * [simplify]: Extracting #8: cost 9 inf + 3445 15.444 * * [simplify]: Extracting #9: cost 4 inf + 5457 15.446 * * [simplify]: Extracting #10: cost 0 inf + 7589 15.448 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) 15.448 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.448 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.449 * * [simplify]: iters left: 6 (14 enodes) 15.454 * * [simplify]: iters left: 5 (47 enodes) 15.466 * * [simplify]: iters left: 4 (51 enodes) 15.478 * * [simplify]: Extracting #0: cost 1 inf + 0 15.478 * * [simplify]: Extracting #1: cost 4 inf + 0 15.478 * * [simplify]: Extracting #2: cost 8 inf + 0 15.478 * * [simplify]: Extracting #3: cost 12 inf + 0 15.478 * * [simplify]: Extracting #4: cost 20 inf + 0 15.478 * * [simplify]: Extracting #5: cost 21 inf + 3 15.479 * * [simplify]: Extracting #6: cost 15 inf + 817 15.479 * * [simplify]: Extracting #7: cost 11 inf + 1306 15.480 * * [simplify]: Extracting #8: cost 2 inf + 3444 15.481 * * [simplify]: Extracting #9: cost 0 inf + 4289 15.482 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) 15.482 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 15.482 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 15.483 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.483 * * [simplify]: iters left: 6 (15 enodes) 15.489 * * [simplify]: iters left: 5 (52 enodes) 15.502 * * [simplify]: iters left: 4 (60 enodes) 15.517 * * [simplify]: iters left: 3 (63 enodes) 15.536 * * [simplify]: Extracting #0: cost 1 inf + 0 15.536 * * [simplify]: Extracting #1: cost 7 inf + 0 15.537 * * [simplify]: Extracting #2: cost 14 inf + 0 15.537 * * [simplify]: Extracting #3: cost 18 inf + 0 15.537 * * [simplify]: Extracting #4: cost 26 inf + 0 15.537 * * [simplify]: Extracting #5: cost 27 inf + 3 15.537 * * [simplify]: Extracting #6: cost 21 inf + 737 15.538 * * [simplify]: Extracting #7: cost 16 inf + 1628 15.538 * * [simplify]: Extracting #8: cost 7 inf + 3285 15.539 * * [simplify]: Extracting #9: cost 1 inf + 6062 15.540 * * [simplify]: Extracting #10: cost 0 inf + 6545 15.542 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 15.542 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.542 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.542 * * [simplify]: iters left: 6 (14 enodes) 15.545 * * [simplify]: iters left: 5 (47 enodes) 15.552 * * [simplify]: iters left: 4 (51 enodes) 15.559 * * [simplify]: Extracting #0: cost 1 inf + 0 15.559 * * [simplify]: Extracting #1: cost 4 inf + 0 15.559 * * [simplify]: Extracting #2: cost 8 inf + 0 15.559 * * [simplify]: Extracting #3: cost 12 inf + 0 15.559 * * [simplify]: Extracting #4: cost 20 inf + 0 15.559 * * [simplify]: Extracting #5: cost 21 inf + 3 15.559 * * [simplify]: Extracting #6: cost 15 inf + 817 15.560 * * [simplify]: Extracting #7: cost 11 inf + 1306 15.560 * * [simplify]: Extracting #8: cost 2 inf + 3284 15.561 * * [simplify]: Extracting #9: cost 0 inf + 4049 15.561 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 15.561 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 15.562 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 15.562 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 15.562 * * [simplify]: iters left: 6 (10 enodes) 15.566 * * [simplify]: iters left: 5 (37 enodes) 15.572 * * [simplify]: iters left: 4 (47 enodes) 15.584 * * [simplify]: iters left: 3 (51 enodes) 15.597 * * [simplify]: iters left: 2 (52 enodes) 15.608 * * [simplify]: Extracting #0: cost 1 inf + 0 15.608 * * [simplify]: Extracting #1: cost 5 inf + 0 15.608 * * [simplify]: Extracting #2: cost 7 inf + 1 15.608 * * [simplify]: Extracting #3: cost 9 inf + 1 15.608 * * [simplify]: Extracting #4: cost 14 inf + 1 15.608 * * [simplify]: Extracting #5: cost 14 inf + 3 15.609 * * [simplify]: Extracting #6: cost 8 inf + 333 15.609 * * [simplify]: Extracting #7: cost 3 inf + 1223 15.610 * * [simplify]: Extracting #8: cost 0 inf + 1951 15.610 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 15.610 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 15.611 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 15.611 * * [simplify]: iters left: 6 (13 enodes) 15.616 * * [simplify]: iters left: 5 (44 enodes) 15.629 * * [simplify]: iters left: 4 (48 enodes) 15.638 * * [simplify]: Extracting #0: cost 1 inf + 0 15.638 * * [simplify]: Extracting #1: cost 4 inf + 0 15.638 * * [simplify]: Extracting #2: cost 8 inf + 0 15.638 * * [simplify]: Extracting #3: cost 13 inf + 0 15.638 * * [simplify]: Extracting #4: cost 19 inf + 1 15.638 * * [simplify]: Extracting #5: cost 21 inf + 3 15.639 * * [simplify]: Extracting #6: cost 12 inf + 940 15.639 * * [simplify]: Extracting #7: cost 3 inf + 2518 15.639 * * [simplify]: Extracting #8: cost 0 inf + 3405 15.640 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 15.640 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) 15.640 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 15.640 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 15.641 * * [simplify]: iters left: 6 (10 enodes) 15.645 * * [simplify]: iters left: 5 (37 enodes) 15.651 * * [simplify]: iters left: 4 (47 enodes) 15.658 * * [simplify]: iters left: 3 (51 enodes) 15.666 * * [simplify]: iters left: 2 (52 enodes) 15.678 * * [simplify]: Extracting #0: cost 1 inf + 0 15.678 * * [simplify]: Extracting #1: cost 5 inf + 0 15.678 * * [simplify]: Extracting #2: cost 7 inf + 1 15.678 * * [simplify]: Extracting #3: cost 9 inf + 1 15.678 * * [simplify]: Extracting #4: cost 14 inf + 1 15.678 * * [simplify]: Extracting #5: cost 14 inf + 3 15.679 * * [simplify]: Extracting #6: cost 8 inf + 333 15.679 * * [simplify]: Extracting #7: cost 3 inf + 1223 15.679 * * [simplify]: Extracting #8: cost 0 inf + 1951 15.680 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 15.680 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 15.681 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 15.681 * * [simplify]: iters left: 6 (13 enodes) 15.686 * * [simplify]: iters left: 5 (44 enodes) 15.697 * * [simplify]: iters left: 4 (48 enodes) 15.709 * * [simplify]: Extracting #0: cost 1 inf + 0 15.709 * * [simplify]: Extracting #1: cost 4 inf + 0 15.710 * * [simplify]: Extracting #2: cost 8 inf + 0 15.710 * * [simplify]: Extracting #3: cost 13 inf + 0 15.710 * * [simplify]: Extracting #4: cost 19 inf + 1 15.710 * * [simplify]: Extracting #5: cost 21 inf + 3 15.710 * * [simplify]: Extracting #6: cost 12 inf + 940 15.711 * * [simplify]: Extracting #7: cost 3 inf + 2518 15.712 * * [simplify]: Extracting #8: cost 0 inf + 3405 15.713 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 15.713 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) 15.713 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 15.713 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.713 * * [simplify]: iters left: 6 (15 enodes) 15.720 * * [simplify]: iters left: 5 (52 enodes) 15.734 * * [simplify]: iters left: 4 (60 enodes) 15.743 * * [simplify]: iters left: 3 (63 enodes) 15.754 * * [simplify]: Extracting #0: cost 1 inf + 0 15.754 * * [simplify]: Extracting #1: cost 7 inf + 0 15.754 * * [simplify]: Extracting #2: cost 14 inf + 0 15.754 * * [simplify]: Extracting #3: cost 18 inf + 0 15.755 * * [simplify]: Extracting #4: cost 26 inf + 0 15.755 * * [simplify]: Extracting #5: cost 27 inf + 3 15.755 * * [simplify]: Extracting #6: cost 21 inf + 737 15.755 * * [simplify]: Extracting #7: cost 16 inf + 1628 15.756 * * [simplify]: Extracting #8: cost 7 inf + 3285 15.756 * * [simplify]: Extracting #9: cost 1 inf + 6062 15.757 * * [simplify]: Extracting #10: cost 0 inf + 6545 15.759 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 15.759 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.759 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.759 * * [simplify]: iters left: 6 (14 enodes) 15.763 * * [simplify]: iters left: 5 (47 enodes) 15.775 * * [simplify]: iters left: 4 (51 enodes) 15.787 * * [simplify]: Extracting #0: cost 1 inf + 0 15.787 * * [simplify]: Extracting #1: cost 4 inf + 0 15.787 * * [simplify]: Extracting #2: cost 8 inf + 0 15.787 * * [simplify]: Extracting #3: cost 12 inf + 0 15.787 * * [simplify]: Extracting #4: cost 20 inf + 0 15.787 * * [simplify]: Extracting #5: cost 21 inf + 3 15.788 * * [simplify]: Extracting #6: cost 15 inf + 817 15.788 * * [simplify]: Extracting #7: cost 11 inf + 1306 15.789 * * [simplify]: Extracting #8: cost 2 inf + 3284 15.790 * * [simplify]: Extracting #9: cost 0 inf + 4049 15.791 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 15.791 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 15.791 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 15.791 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) 15.792 * * [simplify]: iters left: 6 (9 enodes) 15.796 * * [simplify]: iters left: 5 (32 enodes) 15.806 * * [simplify]: iters left: 4 (46 enodes) 15.817 * * [simplify]: iters left: 3 (47 enodes) 15.828 * * [simplify]: Extracting #0: cost 1 inf + 0 15.828 * * [simplify]: Extracting #1: cost 5 inf + 0 15.828 * * [simplify]: Extracting #2: cost 7 inf + 1 15.828 * * [simplify]: Extracting #3: cost 9 inf + 1 15.829 * * [simplify]: Extracting #4: cost 14 inf + 1 15.829 * * [simplify]: Extracting #5: cost 14 inf + 3 15.829 * * [simplify]: Extracting #6: cost 11 inf + 168 15.829 * * [simplify]: Extracting #7: cost 4 inf + 1022 15.830 * * [simplify]: Extracting #8: cost 0 inf + 1951 15.831 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 15.831 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 15.831 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 15.831 * * [simplify]: iters left: 6 (13 enodes) 15.838 * * [simplify]: iters left: 5 (44 enodes) 15.846 * * [simplify]: iters left: 4 (48 enodes) 15.853 * * [simplify]: Extracting #0: cost 1 inf + 0 15.853 * * [simplify]: Extracting #1: cost 4 inf + 0 15.853 * * [simplify]: Extracting #2: cost 8 inf + 0 15.853 * * [simplify]: Extracting #3: cost 13 inf + 0 15.853 * * [simplify]: Extracting #4: cost 19 inf + 1 15.853 * * [simplify]: Extracting #5: cost 21 inf + 3 15.853 * * [simplify]: Extracting #6: cost 12 inf + 940 15.854 * * [simplify]: Extracting #7: cost 3 inf + 2518 15.854 * * [simplify]: Extracting #8: cost 0 inf + 3405 15.855 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 15.855 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) 15.855 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 15.855 * [simplify]: Simplifying (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 15.855 * * [simplify]: iters left: 6 (13 enodes) 15.859 * * [simplify]: iters left: 5 (43 enodes) 15.865 * * [simplify]: iters left: 4 (45 enodes) 15.873 * * [simplify]: Extracting #0: cost 1 inf + 0 15.873 * * [simplify]: Extracting #1: cost 6 inf + 0 15.873 * * [simplify]: Extracting #2: cost 12 inf + 0 15.873 * * [simplify]: Extracting #3: cost 13 inf + 1 15.873 * * [simplify]: Extracting #4: cost 15 inf + 42 15.873 * * [simplify]: Extracting #5: cost 15 inf + 84 15.873 * * [simplify]: Extracting #6: cost 18 inf + 84 15.873 * * [simplify]: Extracting #7: cost 20 inf + 125 15.873 * * [simplify]: Extracting #8: cost 17 inf + 208 15.873 * * [simplify]: Extracting #9: cost 12 inf + 977 15.874 * * [simplify]: Extracting #10: cost 4 inf + 3235 15.875 * * [simplify]: Extracting #11: cost 0 inf + 4765 15.876 * [simplify]: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 15.876 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.877 * [simplify]: Simplifying (/ (sqrt (* im im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.877 * * [simplify]: iters left: 6 (11 enodes) 15.882 * * [simplify]: iters left: 5 (36 enodes) 15.891 * * [simplify]: Extracting #0: cost 1 inf + 0 15.891 * * [simplify]: Extracting #1: cost 4 inf + 0 15.891 * * [simplify]: Extracting #2: cost 9 inf + 0 15.891 * * [simplify]: Extracting #3: cost 11 inf + 1 15.891 * * [simplify]: Extracting #4: cost 10 inf + 165 15.892 * * [simplify]: Extracting #5: cost 11 inf + 166 15.892 * * [simplify]: Extracting #6: cost 13 inf + 166 15.892 * * [simplify]: Extracting #7: cost 12 inf + 329 15.892 * * [simplify]: Extracting #8: cost 6 inf + 1220 15.893 * * [simplify]: Extracting #9: cost 2 inf + 2348 15.894 * * [simplify]: Extracting #10: cost 0 inf + 3152 15.895 * [simplify]: Simplified to (/ (fabs im) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) 15.895 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 15.895 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 15.896 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) 15.896 * * [simplify]: iters left: 6 (13 enodes) 15.902 * * [simplify]: iters left: 5 (42 enodes) 15.912 * * [simplify]: Extracting #0: cost 1 inf + 0 15.913 * * [simplify]: Extracting #1: cost 4 inf + 0 15.913 * * [simplify]: Extracting #2: cost 9 inf + 0 15.913 * * [simplify]: Extracting #3: cost 11 inf + 1 15.913 * * [simplify]: Extracting #4: cost 12 inf + 83 15.913 * * [simplify]: Extracting #5: cost 13 inf + 84 15.913 * * [simplify]: Extracting #6: cost 16 inf + 84 15.913 * * [simplify]: Extracting #7: cost 18 inf + 125 15.913 * * [simplify]: Extracting #8: cost 14 inf + 249 15.913 * * [simplify]: Extracting #9: cost 11 inf + 655 15.913 * * [simplify]: Extracting #10: cost 6 inf + 1825 15.914 * * [simplify]: Extracting #11: cost 0 inf + 3879 15.914 * [simplify]: Simplified to (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.914 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.915 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.915 * * [simplify]: iters left: 6 (11 enodes) 15.917 * * [simplify]: iters left: 5 (36 enodes) 15.921 * * [simplify]: Extracting #0: cost 1 inf + 0 15.921 * * [simplify]: Extracting #1: cost 4 inf + 0 15.921 * * [simplify]: Extracting #2: cost 9 inf + 0 15.921 * * [simplify]: Extracting #3: cost 11 inf + 1 15.921 * * [simplify]: Extracting #4: cost 10 inf + 165 15.922 * * [simplify]: Extracting #5: cost 11 inf + 166 15.922 * * [simplify]: Extracting #6: cost 13 inf + 166 15.922 * * [simplify]: Extracting #7: cost 12 inf + 329 15.922 * * [simplify]: Extracting #8: cost 6 inf + 1220 15.922 * * [simplify]: Extracting #9: cost 2 inf + 2428 15.923 * * [simplify]: Extracting #10: cost 0 inf + 3232 15.923 * [simplify]: Simplified to (/ (fabs im) (sqrt (cbrt (+ re (sqrt (+ (* im im) (* re re))))))) 15.923 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 15.923 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 15.924 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.924 * * [simplify]: iters left: 6 (12 enodes) 15.927 * * [simplify]: iters left: 5 (38 enodes) 15.932 * * [simplify]: Extracting #0: cost 1 inf + 0 15.932 * * [simplify]: Extracting #1: cost 4 inf + 0 15.932 * * [simplify]: Extracting #2: cost 8 inf + 0 15.932 * * [simplify]: Extracting #3: cost 9 inf + 1 15.932 * * [simplify]: Extracting #4: cost 10 inf + 83 15.932 * * [simplify]: Extracting #5: cost 11 inf + 84 15.932 * * [simplify]: Extracting #6: cost 14 inf + 84 15.932 * * [simplify]: Extracting #7: cost 16 inf + 125 15.932 * * [simplify]: Extracting #8: cost 13 inf + 208 15.933 * * [simplify]: Extracting #9: cost 8 inf + 817 15.933 * * [simplify]: Extracting #10: cost 4 inf + 1705 15.933 * * [simplify]: Extracting #11: cost 0 inf + 2995 15.934 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.934 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 15.934 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.934 * * [simplify]: iters left: 6 (11 enodes) 15.936 * * [simplify]: iters left: 5 (36 enodes) 15.944 * * [simplify]: Extracting #0: cost 1 inf + 0 15.944 * * [simplify]: Extracting #1: cost 4 inf + 0 15.944 * * [simplify]: Extracting #2: cost 9 inf + 0 15.944 * * [simplify]: Extracting #3: cost 11 inf + 1 15.944 * * [simplify]: Extracting #4: cost 10 inf + 165 15.944 * * [simplify]: Extracting #5: cost 11 inf + 166 15.945 * * [simplify]: Extracting #6: cost 13 inf + 166 15.945 * * [simplify]: Extracting #7: cost 12 inf + 329 15.945 * * [simplify]: Extracting #8: cost 6 inf + 1220 15.946 * * [simplify]: Extracting #9: cost 2 inf + 2268 15.947 * * [simplify]: Extracting #10: cost 0 inf + 2992 15.948 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) 15.948 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 15.948 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 15.948 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 15.948 * * [simplify]: iters left: 3 (5 enodes) 15.954 * * [simplify]: iters left: 2 (17 enodes) 15.960 * * [simplify]: iters left: 1 (19 enodes) 15.967 * * [simplify]: Extracting #0: cost 1 inf + 0 15.967 * * [simplify]: Extracting #1: cost 4 inf + 0 15.967 * * [simplify]: Extracting #2: cost 2 inf + 2 15.967 * * [simplify]: Extracting #3: cost 0 inf + 84 15.967 * [simplify]: Simplified to (sqrt 2.0) 15.967 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 15.967 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 15.968 * * [simplify]: iters left: 6 (10 enodes) 15.972 * * [simplify]: iters left: 5 (33 enodes) 15.977 * * [simplify]: Extracting #0: cost 1 inf + 0 15.977 * * [simplify]: Extracting #1: cost 4 inf + 0 15.977 * * [simplify]: Extracting #2: cost 9 inf + 0 15.977 * * [simplify]: Extracting #3: cost 12 inf + 1 15.977 * * [simplify]: Extracting #4: cost 9 inf + 166 15.977 * * [simplify]: Extracting #5: cost 11 inf + 166 15.978 * * [simplify]: Extracting #6: cost 10 inf + 329 15.978 * * [simplify]: Extracting #7: cost 6 inf + 856 15.978 * * [simplify]: Extracting #8: cost 1 inf + 2026 15.978 * * [simplify]: Extracting #9: cost 0 inf + 2348 15.980 * [simplify]: Simplified to (/ (fabs im) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) 15.981 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))))) 15.981 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 15.981 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 15.981 * * [simplify]: iters left: 3 (5 enodes) 15.984 * * [simplify]: iters left: 2 (17 enodes) 15.987 * * [simplify]: iters left: 1 (19 enodes) 15.990 * * [simplify]: Extracting #0: cost 1 inf + 0 15.990 * * [simplify]: Extracting #1: cost 4 inf + 0 15.990 * * [simplify]: Extracting #2: cost 2 inf + 2 15.990 * * [simplify]: Extracting #3: cost 0 inf + 84 15.990 * [simplify]: Simplified to (sqrt 2.0) 15.990 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 15.990 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 15.990 * * [simplify]: iters left: 6 (10 enodes) 15.992 * * [simplify]: iters left: 5 (33 enodes) 15.997 * * [simplify]: Extracting #0: cost 1 inf + 0 15.997 * * [simplify]: Extracting #1: cost 4 inf + 0 15.997 * * [simplify]: Extracting #2: cost 9 inf + 0 15.997 * * [simplify]: Extracting #3: cost 12 inf + 1 15.997 * * [simplify]: Extracting #4: cost 9 inf + 166 15.997 * * [simplify]: Extracting #5: cost 11 inf + 166 15.997 * * [simplify]: Extracting #6: cost 10 inf + 329 15.997 * * [simplify]: Extracting #7: cost 6 inf + 856 15.998 * * [simplify]: Extracting #8: cost 1 inf + 2026 15.998 * * [simplify]: Extracting #9: cost 0 inf + 2348 15.999 * [simplify]: Simplified to (/ (fabs im) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) 15.999 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))))) 15.999 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 15.999 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 15.999 * * [simplify]: iters left: 6 (12 enodes) 16.005 * * [simplify]: iters left: 5 (38 enodes) 16.016 * * [simplify]: Extracting #0: cost 1 inf + 0 16.016 * * [simplify]: Extracting #1: cost 4 inf + 0 16.016 * * [simplify]: Extracting #2: cost 8 inf + 0 16.016 * * [simplify]: Extracting #3: cost 9 inf + 1 16.016 * * [simplify]: Extracting #4: cost 10 inf + 83 16.016 * * [simplify]: Extracting #5: cost 11 inf + 84 16.017 * * [simplify]: Extracting #6: cost 14 inf + 84 16.017 * * [simplify]: Extracting #7: cost 16 inf + 125 16.017 * * [simplify]: Extracting #8: cost 13 inf + 208 16.017 * * [simplify]: Extracting #9: cost 8 inf + 817 16.018 * * [simplify]: Extracting #10: cost 4 inf + 1705 16.018 * * [simplify]: Extracting #11: cost 0 inf + 2995 16.019 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.019 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.020 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.020 * * [simplify]: iters left: 6 (11 enodes) 16.024 * * [simplify]: iters left: 5 (36 enodes) 16.034 * * [simplify]: Extracting #0: cost 1 inf + 0 16.034 * * [simplify]: Extracting #1: cost 4 inf + 0 16.034 * * [simplify]: Extracting #2: cost 9 inf + 0 16.034 * * [simplify]: Extracting #3: cost 11 inf + 1 16.034 * * [simplify]: Extracting #4: cost 10 inf + 165 16.034 * * [simplify]: Extracting #5: cost 11 inf + 166 16.034 * * [simplify]: Extracting #6: cost 13 inf + 166 16.035 * * [simplify]: Extracting #7: cost 12 inf + 329 16.035 * * [simplify]: Extracting #8: cost 6 inf + 1220 16.036 * * [simplify]: Extracting #9: cost 2 inf + 2268 16.037 * * [simplify]: Extracting #10: cost 0 inf + 2992 16.037 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) 16.037 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 16.038 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 16.038 * [simplify]: Simplifying (/ (sqrt 2.0) 1) 16.038 * * [simplify]: iters left: 3 (4 enodes) 16.041 * * [simplify]: iters left: 2 (12 enodes) 16.046 * * [simplify]: iters left: 1 (14 enodes) 16.051 * * [simplify]: Extracting #0: cost 1 inf + 0 16.051 * * [simplify]: Extracting #1: cost 4 inf + 0 16.051 * * [simplify]: Extracting #2: cost 0 inf + 84 16.051 * [simplify]: Simplified to (sqrt 2.0) 16.051 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.052 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.052 * * [simplify]: iters left: 6 (10 enodes) 16.056 * * [simplify]: iters left: 5 (33 enodes) 16.065 * * [simplify]: Extracting #0: cost 1 inf + 0 16.065 * * [simplify]: Extracting #1: cost 4 inf + 0 16.065 * * [simplify]: Extracting #2: cost 9 inf + 0 16.065 * * [simplify]: Extracting #3: cost 12 inf + 1 16.065 * * [simplify]: Extracting #4: cost 9 inf + 166 16.065 * * [simplify]: Extracting #5: cost 11 inf + 166 16.065 * * [simplify]: Extracting #6: cost 10 inf + 329 16.066 * * [simplify]: Extracting #7: cost 6 inf + 856 16.066 * * [simplify]: Extracting #8: cost 1 inf + 2026 16.067 * * [simplify]: Extracting #9: cost 0 inf + 2348 16.068 * [simplify]: Simplified to (/ (fabs im) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) 16.068 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))))) 16.068 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 16.068 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 16.068 * * [simplify]: iters left: 6 (15 enodes) 16.075 * * [simplify]: iters left: 5 (52 enodes) 16.091 * * [simplify]: iters left: 4 (58 enodes) 16.108 * * [simplify]: Extracting #0: cost 1 inf + 0 16.108 * * [simplify]: Extracting #1: cost 6 inf + 0 16.108 * * [simplify]: Extracting #2: cost 12 inf + 0 16.108 * * [simplify]: Extracting #3: cost 16 inf + 0 16.108 * * [simplify]: Extracting #4: cost 24 inf + 0 16.108 * * [simplify]: Extracting #5: cost 25 inf + 3 16.109 * * [simplify]: Extracting #6: cost 18 inf + 739 16.109 * * [simplify]: Extracting #7: cost 14 inf + 1348 16.110 * * [simplify]: Extracting #8: cost 5 inf + 3445 16.112 * * [simplify]: Extracting #9: cost 1 inf + 5336 16.114 * * [simplify]: Extracting #10: cost 0 inf + 5819 16.115 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) 16.115 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.116 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.116 * * [simplify]: iters left: 6 (14 enodes) 16.125 * * [simplify]: iters left: 5 (47 enodes) 16.138 * * [simplify]: iters left: 4 (51 enodes) 16.152 * * [simplify]: Extracting #0: cost 1 inf + 0 16.152 * * [simplify]: Extracting #1: cost 4 inf + 0 16.152 * * [simplify]: Extracting #2: cost 8 inf + 0 16.152 * * [simplify]: Extracting #3: cost 12 inf + 0 16.152 * * [simplify]: Extracting #4: cost 20 inf + 0 16.152 * * [simplify]: Extracting #5: cost 21 inf + 3 16.153 * * [simplify]: Extracting #6: cost 15 inf + 737 16.153 * * [simplify]: Extracting #7: cost 11 inf + 1226 16.154 * * [simplify]: Extracting #8: cost 2 inf + 3244 16.155 * * [simplify]: Extracting #9: cost 0 inf + 4049 16.157 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.157 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 16.157 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 16.157 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) 16.157 * * [simplify]: iters left: 6 (15 enodes) 16.164 * * [simplify]: iters left: 5 (51 enodes) 16.179 * * [simplify]: iters left: 4 (55 enodes) 16.194 * * [simplify]: Extracting #0: cost 1 inf + 0 16.194 * * [simplify]: Extracting #1: cost 4 inf + 0 16.194 * * [simplify]: Extracting #2: cost 9 inf + 0 16.194 * * [simplify]: Extracting #3: cost 14 inf + 0 16.195 * * [simplify]: Extracting #4: cost 22 inf + 0 16.195 * * [simplify]: Extracting #5: cost 23 inf + 3 16.195 * * [simplify]: Extracting #6: cost 17 inf + 697 16.196 * * [simplify]: Extracting #7: cost 12 inf + 1348 16.197 * * [simplify]: Extracting #8: cost 3 inf + 3485 16.198 * * [simplify]: Extracting #9: cost 0 inf + 4773 16.199 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.199 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.200 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.200 * * [simplify]: iters left: 6 (14 enodes) 16.206 * * [simplify]: iters left: 5 (47 enodes) 16.220 * * [simplify]: iters left: 4 (51 enodes) 16.232 * * [simplify]: Extracting #0: cost 1 inf + 0 16.232 * * [simplify]: Extracting #1: cost 4 inf + 0 16.232 * * [simplify]: Extracting #2: cost 8 inf + 0 16.232 * * [simplify]: Extracting #3: cost 12 inf + 0 16.232 * * [simplify]: Extracting #4: cost 20 inf + 0 16.232 * * [simplify]: Extracting #5: cost 21 inf + 3 16.233 * * [simplify]: Extracting #6: cost 15 inf + 737 16.233 * * [simplify]: Extracting #7: cost 11 inf + 1226 16.233 * * [simplify]: Extracting #8: cost 2 inf + 3324 16.234 * * [simplify]: Extracting #9: cost 0 inf + 4129 16.235 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.235 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 16.235 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 16.235 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.235 * * [simplify]: iters left: 6 (14 enodes) 16.238 * * [simplify]: iters left: 5 (47 enodes) 16.245 * * [simplify]: iters left: 4 (51 enodes) 16.253 * * [simplify]: Extracting #0: cost 1 inf + 0 16.253 * * [simplify]: Extracting #1: cost 4 inf + 0 16.253 * * [simplify]: Extracting #2: cost 8 inf + 0 16.253 * * [simplify]: Extracting #3: cost 12 inf + 0 16.254 * * [simplify]: Extracting #4: cost 20 inf + 0 16.254 * * [simplify]: Extracting #5: cost 21 inf + 3 16.254 * * [simplify]: Extracting #6: cost 15 inf + 737 16.254 * * [simplify]: Extracting #7: cost 11 inf + 1226 16.255 * * [simplify]: Extracting #8: cost 2 inf + 3164 16.255 * * [simplify]: Extracting #9: cost 0 inf + 3889 16.256 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.256 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.256 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.256 * * [simplify]: iters left: 6 (14 enodes) 16.260 * * [simplify]: iters left: 5 (47 enodes) 16.273 * * [simplify]: iters left: 4 (51 enodes) 16.287 * * [simplify]: Extracting #0: cost 1 inf + 0 16.287 * * [simplify]: Extracting #1: cost 4 inf + 0 16.287 * * [simplify]: Extracting #2: cost 8 inf + 0 16.287 * * [simplify]: Extracting #3: cost 12 inf + 0 16.287 * * [simplify]: Extracting #4: cost 20 inf + 0 16.287 * * [simplify]: Extracting #5: cost 21 inf + 3 16.288 * * [simplify]: Extracting #6: cost 15 inf + 737 16.288 * * [simplify]: Extracting #7: cost 11 inf + 1226 16.289 * * [simplify]: Extracting #8: cost 2 inf + 3164 16.290 * * [simplify]: Extracting #9: cost 0 inf + 3889 16.292 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.292 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 16.292 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 16.292 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 16.292 * * [simplify]: iters left: 6 (9 enodes) 16.299 * * [simplify]: iters left: 5 (32 enodes) 16.309 * * [simplify]: iters left: 4 (38 enodes) 16.318 * * [simplify]: iters left: 3 (40 enodes) 16.324 * * [simplify]: Extracting #0: cost 1 inf + 0 16.324 * * [simplify]: Extracting #1: cost 4 inf + 0 16.324 * * [simplify]: Extracting #2: cost 5 inf + 1 16.324 * * [simplify]: Extracting #3: cost 10 inf + 1 16.324 * * [simplify]: Extracting #4: cost 10 inf + 3 16.324 * * [simplify]: Extracting #5: cost 6 inf + 209 16.324 * * [simplify]: Extracting #6: cost 1 inf + 779 16.325 * * [simplify]: Extracting #7: cost 0 inf + 901 16.325 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 16.325 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.325 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.325 * * [simplify]: iters left: 6 (13 enodes) 16.328 * * [simplify]: iters left: 5 (44 enodes) 16.334 * * [simplify]: iters left: 4 (48 enodes) 16.340 * * [simplify]: Extracting #0: cost 1 inf + 0 16.341 * * [simplify]: Extracting #1: cost 4 inf + 0 16.341 * * [simplify]: Extracting #2: cost 8 inf + 0 16.341 * * [simplify]: Extracting #3: cost 13 inf + 0 16.341 * * [simplify]: Extracting #4: cost 19 inf + 1 16.341 * * [simplify]: Extracting #5: cost 21 inf + 3 16.341 * * [simplify]: Extracting #6: cost 12 inf + 900 16.341 * * [simplify]: Extracting #7: cost 3 inf + 2398 16.342 * * [simplify]: Extracting #8: cost 0 inf + 3245 16.342 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 16.342 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) 16.342 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 16.343 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 16.343 * * [simplify]: iters left: 6 (9 enodes) 16.346 * * [simplify]: iters left: 5 (32 enodes) 16.351 * * [simplify]: iters left: 4 (38 enodes) 16.356 * * [simplify]: iters left: 3 (40 enodes) 16.363 * * [simplify]: Extracting #0: cost 1 inf + 0 16.363 * * [simplify]: Extracting #1: cost 4 inf + 0 16.363 * * [simplify]: Extracting #2: cost 5 inf + 1 16.363 * * [simplify]: Extracting #3: cost 10 inf + 1 16.363 * * [simplify]: Extracting #4: cost 10 inf + 3 16.364 * * [simplify]: Extracting #5: cost 6 inf + 209 16.364 * * [simplify]: Extracting #6: cost 1 inf + 779 16.364 * * [simplify]: Extracting #7: cost 0 inf + 901 16.364 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 16.364 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.364 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.365 * * [simplify]: iters left: 6 (13 enodes) 16.367 * * [simplify]: iters left: 5 (44 enodes) 16.374 * * [simplify]: iters left: 4 (48 enodes) 16.380 * * [simplify]: Extracting #0: cost 1 inf + 0 16.380 * * [simplify]: Extracting #1: cost 4 inf + 0 16.380 * * [simplify]: Extracting #2: cost 8 inf + 0 16.380 * * [simplify]: Extracting #3: cost 13 inf + 0 16.380 * * [simplify]: Extracting #4: cost 19 inf + 1 16.380 * * [simplify]: Extracting #5: cost 21 inf + 3 16.380 * * [simplify]: Extracting #6: cost 12 inf + 900 16.381 * * [simplify]: Extracting #7: cost 3 inf + 2398 16.381 * * [simplify]: Extracting #8: cost 0 inf + 3245 16.382 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 16.382 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) 16.382 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 16.382 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.382 * * [simplify]: iters left: 6 (14 enodes) 16.389 * * [simplify]: iters left: 5 (47 enodes) 16.403 * * [simplify]: iters left: 4 (51 enodes) 16.417 * * [simplify]: Extracting #0: cost 1 inf + 0 16.417 * * [simplify]: Extracting #1: cost 4 inf + 0 16.417 * * [simplify]: Extracting #2: cost 8 inf + 0 16.417 * * [simplify]: Extracting #3: cost 12 inf + 0 16.417 * * [simplify]: Extracting #4: cost 20 inf + 0 16.418 * * [simplify]: Extracting #5: cost 21 inf + 3 16.418 * * [simplify]: Extracting #6: cost 15 inf + 737 16.419 * * [simplify]: Extracting #7: cost 11 inf + 1226 16.420 * * [simplify]: Extracting #8: cost 2 inf + 3164 16.421 * * [simplify]: Extracting #9: cost 0 inf + 3889 16.423 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.423 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.423 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.423 * * [simplify]: iters left: 6 (14 enodes) 16.430 * * [simplify]: iters left: 5 (47 enodes) 16.441 * * [simplify]: iters left: 4 (51 enodes) 16.447 * * [simplify]: Extracting #0: cost 1 inf + 0 16.447 * * [simplify]: Extracting #1: cost 4 inf + 0 16.447 * * [simplify]: Extracting #2: cost 8 inf + 0 16.448 * * [simplify]: Extracting #3: cost 12 inf + 0 16.448 * * [simplify]: Extracting #4: cost 20 inf + 0 16.448 * * [simplify]: Extracting #5: cost 21 inf + 3 16.448 * * [simplify]: Extracting #6: cost 15 inf + 737 16.448 * * [simplify]: Extracting #7: cost 11 inf + 1226 16.448 * * [simplify]: Extracting #8: cost 2 inf + 3164 16.449 * * [simplify]: Extracting #9: cost 0 inf + 3889 16.450 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.450 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) 16.450 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 16.450 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) 16.450 * * [simplify]: iters left: 6 (8 enodes) 16.452 * * [simplify]: iters left: 5 (27 enodes) 16.457 * * [simplify]: iters left: 4 (33 enodes) 16.462 * * [simplify]: Extracting #0: cost 1 inf + 0 16.462 * * [simplify]: Extracting #1: cost 4 inf + 0 16.462 * * [simplify]: Extracting #2: cost 5 inf + 1 16.462 * * [simplify]: Extracting #3: cost 10 inf + 1 16.462 * * [simplify]: Extracting #4: cost 9 inf + 44 16.462 * * [simplify]: Extracting #5: cost 5 inf + 251 16.462 * * [simplify]: Extracting #6: cost 1 inf + 739 16.462 * * [simplify]: Extracting #7: cost 0 inf + 901 16.462 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 16.462 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.463 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.463 * * [simplify]: iters left: 6 (13 enodes) 16.466 * * [simplify]: iters left: 5 (44 enodes) 16.474 * * [simplify]: iters left: 4 (48 enodes) 16.480 * * [simplify]: Extracting #0: cost 1 inf + 0 16.480 * * [simplify]: Extracting #1: cost 4 inf + 0 16.480 * * [simplify]: Extracting #2: cost 8 inf + 0 16.480 * * [simplify]: Extracting #3: cost 13 inf + 0 16.480 * * [simplify]: Extracting #4: cost 19 inf + 1 16.480 * * [simplify]: Extracting #5: cost 21 inf + 3 16.480 * * [simplify]: Extracting #6: cost 12 inf + 900 16.481 * * [simplify]: Extracting #7: cost 3 inf + 2398 16.481 * * [simplify]: Extracting #8: cost 0 inf + 3245 16.482 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 16.482 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) 16.482 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 16.482 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 16.482 * * [simplify]: iters left: 6 (12 enodes) 16.485 * * [simplify]: iters left: 5 (42 enodes) 16.491 * * [simplify]: iters left: 4 (46 enodes) 16.500 * * [simplify]: Extracting #0: cost 1 inf + 0 16.501 * * [simplify]: Extracting #1: cost 6 inf + 0 16.501 * * [simplify]: Extracting #2: cost 9 inf + 1 16.501 * * [simplify]: Extracting #3: cost 11 inf + 1 16.501 * * [simplify]: Extracting #4: cost 14 inf + 1 16.501 * * [simplify]: Extracting #5: cost 15 inf + 2 16.501 * * [simplify]: Extracting #6: cost 18 inf + 2 16.501 * * [simplify]: Extracting #7: cost 20 inf + 43 16.501 * * [simplify]: Extracting #8: cost 18 inf + 85 16.501 * * [simplify]: Extracting #9: cost 15 inf + 289 16.502 * * [simplify]: Extracting #10: cost 10 inf + 1139 16.502 * * [simplify]: Extracting #11: cost 6 inf + 2267 16.503 * * [simplify]: Extracting #12: cost 3 inf + 3395 16.505 * * [simplify]: Extracting #13: cost 0 inf + 4523 16.506 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.506 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (/ 1 (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.507 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.507 * * [simplify]: iters left: 6 (13 enodes) 16.514 * * [simplify]: iters left: 5 (44 enodes) 16.527 * * [simplify]: iters left: 4 (48 enodes) 16.540 * * [simplify]: Extracting #0: cost 1 inf + 0 16.540 * * [simplify]: Extracting #1: cost 4 inf + 0 16.540 * * [simplify]: Extracting #2: cost 8 inf + 0 16.541 * * [simplify]: Extracting #3: cost 15 inf + 0 16.541 * * [simplify]: Extracting #4: cost 18 inf + 2 16.541 * * [simplify]: Extracting #5: cost 15 inf + 209 16.541 * * [simplify]: Extracting #6: cost 14 inf + 455 16.542 * * [simplify]: Extracting #7: cost 10 inf + 1104 16.542 * * [simplify]: Extracting #8: cost 3 inf + 2638 16.544 * * [simplify]: Extracting #9: cost 0 inf + 3645 16.545 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) 16.545 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 16.545 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 16.545 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) 16.546 * * [simplify]: iters left: 6 (12 enodes) 16.551 * * [simplify]: iters left: 5 (41 enodes) 16.563 * * [simplify]: iters left: 4 (43 enodes) 16.573 * * [simplify]: Extracting #0: cost 1 inf + 0 16.573 * * [simplify]: Extracting #1: cost 4 inf + 0 16.573 * * [simplify]: Extracting #2: cost 6 inf + 1 16.573 * * [simplify]: Extracting #3: cost 9 inf + 1 16.573 * * [simplify]: Extracting #4: cost 12 inf + 1 16.573 * * [simplify]: Extracting #5: cost 13 inf + 2 16.573 * * [simplify]: Extracting #6: cost 16 inf + 2 16.573 * * [simplify]: Extracting #7: cost 18 inf + 43 16.573 * * [simplify]: Extracting #8: cost 16 inf + 85 16.573 * * [simplify]: Extracting #9: cost 13 inf + 289 16.573 * * [simplify]: Extracting #10: cost 9 inf + 937 16.574 * * [simplify]: Extracting #11: cost 2 inf + 3032 16.574 * * [simplify]: Extracting #12: cost 0 inf + 3717 16.575 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.575 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (fabs (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.575 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.575 * * [simplify]: iters left: 6 (13 enodes) 16.578 * * [simplify]: iters left: 5 (44 enodes) 16.586 * * [simplify]: iters left: 4 (48 enodes) 16.592 * * [simplify]: Extracting #0: cost 1 inf + 0 16.592 * * [simplify]: Extracting #1: cost 4 inf + 0 16.592 * * [simplify]: Extracting #2: cost 8 inf + 0 16.592 * * [simplify]: Extracting #3: cost 15 inf + 0 16.592 * * [simplify]: Extracting #4: cost 18 inf + 2 16.592 * * [simplify]: Extracting #5: cost 15 inf + 209 16.592 * * [simplify]: Extracting #6: cost 14 inf + 455 16.593 * * [simplify]: Extracting #7: cost 10 inf + 1104 16.593 * * [simplify]: Extracting #8: cost 3 inf + 2678 16.594 * * [simplify]: Extracting #9: cost 0 inf + 3725 16.594 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ re (sqrt (+ (* im im) (* re re))))))) 16.594 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 16.594 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 16.595 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.595 * * [simplify]: iters left: 6 (11 enodes) 16.597 * * [simplify]: iters left: 5 (37 enodes) 16.608 * * [simplify]: iters left: 4 (39 enodes) 16.619 * * [simplify]: Extracting #0: cost 1 inf + 0 16.619 * * [simplify]: Extracting #1: cost 4 inf + 0 16.619 * * [simplify]: Extracting #2: cost 5 inf + 1 16.619 * * [simplify]: Extracting #3: cost 7 inf + 1 16.619 * * [simplify]: Extracting #4: cost 10 inf + 1 16.620 * * [simplify]: Extracting #5: cost 11 inf + 2 16.620 * * [simplify]: Extracting #6: cost 14 inf + 2 16.620 * * [simplify]: Extracting #7: cost 16 inf + 43 16.620 * * [simplify]: Extracting #8: cost 14 inf + 85 16.620 * * [simplify]: Extracting #9: cost 12 inf + 248 16.620 * * [simplify]: Extracting #10: cost 7 inf + 937 16.621 * * [simplify]: Extracting #11: cost 3 inf + 1905 16.622 * * [simplify]: Extracting #12: cost 0 inf + 2833 16.623 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.623 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.623 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.623 * * [simplify]: iters left: 6 (13 enodes) 16.631 * * [simplify]: iters left: 5 (44 enodes) 16.643 * * [simplify]: iters left: 4 (48 enodes) 16.656 * * [simplify]: Extracting #0: cost 1 inf + 0 16.656 * * [simplify]: Extracting #1: cost 4 inf + 0 16.656 * * [simplify]: Extracting #2: cost 8 inf + 0 16.656 * * [simplify]: Extracting #3: cost 15 inf + 0 16.656 * * [simplify]: Extracting #4: cost 18 inf + 2 16.657 * * [simplify]: Extracting #5: cost 15 inf + 209 16.657 * * [simplify]: Extracting #6: cost 14 inf + 455 16.657 * * [simplify]: Extracting #7: cost 10 inf + 1104 16.658 * * [simplify]: Extracting #8: cost 3 inf + 2558 16.659 * * [simplify]: Extracting #9: cost 0 inf + 3485 16.661 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) 16.661 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 16.661 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 16.661 * [simplify]: Simplifying (/ 1 (sqrt 1)) 16.661 * * [simplify]: iters left: 3 (3 enodes) 16.667 * * [simplify]: iters left: 2 (11 enodes) 16.670 * * [simplify]: iters left: 1 (13 enodes) 16.674 * * [simplify]: Extracting #0: cost 1 inf + 0 16.674 * * [simplify]: Extracting #1: cost 0 inf + 1 16.674 * [simplify]: Simplified to 1 16.674 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.674 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.674 * * [simplify]: iters left: 6 (12 enodes) 16.680 * * [simplify]: iters left: 5 (41 enodes) 16.692 * * [simplify]: iters left: 4 (45 enodes) 16.704 * * [simplify]: Extracting #0: cost 1 inf + 0 16.704 * * [simplify]: Extracting #1: cost 4 inf + 0 16.704 * * [simplify]: Extracting #2: cost 8 inf + 0 16.704 * * [simplify]: Extracting #3: cost 16 inf + 0 16.704 * * [simplify]: Extracting #4: cost 17 inf + 3 16.704 * * [simplify]: Extracting #5: cost 15 inf + 209 16.705 * * [simplify]: Extracting #6: cost 9 inf + 862 16.705 * * [simplify]: Extracting #7: cost 4 inf + 1631 16.706 * * [simplify]: Extracting #8: cost 2 inf + 2236 16.707 * * [simplify]: Extracting #9: cost 0 inf + 2841 16.708 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) 16.708 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))))) 16.708 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 16.709 * [simplify]: Simplifying (/ 1 (sqrt 1)) 16.709 * * [simplify]: iters left: 3 (3 enodes) 16.715 * * [simplify]: iters left: 2 (11 enodes) 16.718 * * [simplify]: iters left: 1 (13 enodes) 16.721 * * [simplify]: Extracting #0: cost 1 inf + 0 16.721 * * [simplify]: Extracting #1: cost 0 inf + 1 16.722 * [simplify]: Simplified to 1 16.722 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.722 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.722 * * [simplify]: iters left: 6 (12 enodes) 16.731 * * [simplify]: iters left: 5 (41 enodes) 16.744 * * [simplify]: iters left: 4 (45 enodes) 16.756 * * [simplify]: Extracting #0: cost 1 inf + 0 16.756 * * [simplify]: Extracting #1: cost 4 inf + 0 16.757 * * [simplify]: Extracting #2: cost 8 inf + 0 16.757 * * [simplify]: Extracting #3: cost 16 inf + 0 16.757 * * [simplify]: Extracting #4: cost 17 inf + 3 16.757 * * [simplify]: Extracting #5: cost 15 inf + 209 16.757 * * [simplify]: Extracting #6: cost 9 inf + 862 16.758 * * [simplify]: Extracting #7: cost 4 inf + 1631 16.758 * * [simplify]: Extracting #8: cost 2 inf + 2236 16.759 * * [simplify]: Extracting #9: cost 0 inf + 2841 16.759 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) 16.759 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))))) 16.759 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 16.760 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.760 * * [simplify]: iters left: 6 (11 enodes) 16.762 * * [simplify]: iters left: 5 (37 enodes) 16.768 * * [simplify]: iters left: 4 (39 enodes) 16.773 * * [simplify]: Extracting #0: cost 1 inf + 0 16.773 * * [simplify]: Extracting #1: cost 4 inf + 0 16.773 * * [simplify]: Extracting #2: cost 5 inf + 1 16.773 * * [simplify]: Extracting #3: cost 7 inf + 1 16.773 * * [simplify]: Extracting #4: cost 10 inf + 1 16.773 * * [simplify]: Extracting #5: cost 11 inf + 2 16.773 * * [simplify]: Extracting #6: cost 14 inf + 2 16.773 * * [simplify]: Extracting #7: cost 16 inf + 43 16.773 * * [simplify]: Extracting #8: cost 14 inf + 85 16.774 * * [simplify]: Extracting #9: cost 12 inf + 248 16.774 * * [simplify]: Extracting #10: cost 7 inf + 937 16.774 * * [simplify]: Extracting #11: cost 3 inf + 1905 16.774 * * [simplify]: Extracting #12: cost 0 inf + 2833 16.775 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) 16.775 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) 16.775 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 16.775 * * [simplify]: iters left: 6 (13 enodes) 16.778 * * [simplify]: iters left: 5 (44 enodes) 16.784 * * [simplify]: iters left: 4 (48 enodes) 16.791 * * [simplify]: Extracting #0: cost 1 inf + 0 16.791 * * [simplify]: Extracting #1: cost 4 inf + 0 16.791 * * [simplify]: Extracting #2: cost 8 inf + 0 16.791 * * [simplify]: Extracting #3: cost 15 inf + 0 16.791 * * [simplify]: Extracting #4: cost 18 inf + 2 16.791 * * [simplify]: Extracting #5: cost 15 inf + 209 16.792 * * [simplify]: Extracting #6: cost 14 inf + 455 16.792 * * [simplify]: Extracting #7: cost 10 inf + 1104 16.793 * * [simplify]: Extracting #8: cost 3 inf + 2558 16.794 * * [simplify]: Extracting #9: cost 0 inf + 3485 16.795 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) 16.795 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))))) 16.795 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 16.796 * [simplify]: Simplifying (/ 1 1) 16.796 * * [simplify]: iters left: 2 (2 enodes) 16.797 * * [simplify]: iters left: 1 (6 enodes) 16.799 * * [simplify]: Extracting #0: cost 1 inf + 0 16.799 * * [simplify]: Extracting #1: cost 0 inf + 1 16.799 * [simplify]: Simplified to 1 16.799 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.800 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.800 * * [simplify]: iters left: 6 (12 enodes) 16.806 * * [simplify]: iters left: 5 (41 enodes) 16.817 * * [simplify]: iters left: 4 (45 enodes) 16.831 * * [simplify]: Extracting #0: cost 1 inf + 0 16.831 * * [simplify]: Extracting #1: cost 4 inf + 0 16.831 * * [simplify]: Extracting #2: cost 8 inf + 0 16.831 * * [simplify]: Extracting #3: cost 16 inf + 0 16.831 * * [simplify]: Extracting #4: cost 17 inf + 3 16.831 * * [simplify]: Extracting #5: cost 15 inf + 209 16.832 * * [simplify]: Extracting #6: cost 9 inf + 862 16.832 * * [simplify]: Extracting #7: cost 4 inf + 1631 16.833 * * [simplify]: Extracting #8: cost 2 inf + 2236 16.834 * * [simplify]: Extracting #9: cost 0 inf + 2841 16.835 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) 16.835 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))))) 16.835 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 16.835 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 16.836 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 16.836 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 16.836 * [simplify]: Simplifying (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.836 * * [simplify]: iters left: 6 (9 enodes) 16.840 * * [simplify]: iters left: 5 (29 enodes) 16.848 * * [simplify]: Extracting #0: cost 1 inf + 0 16.848 * * [simplify]: Extracting #1: cost 3 inf + 0 16.848 * * [simplify]: Extracting #2: cost 5 inf + 0 16.848 * * [simplify]: Extracting #3: cost 8 inf + 0 16.848 * * [simplify]: Extracting #4: cost 9 inf + 1 16.848 * * [simplify]: Extracting #5: cost 12 inf + 1 16.848 * * [simplify]: Extracting #6: cost 14 inf + 42 16.848 * * [simplify]: Extracting #7: cost 10 inf + 166 16.849 * * [simplify]: Extracting #8: cost 7 inf + 572 16.849 * * [simplify]: Extracting #9: cost 4 inf + 1178 16.852 * * [simplify]: Extracting #10: cost 1 inf + 1944 16.852 * * [simplify]: Extracting #11: cost 0 inf + 2266 16.853 * [simplify]: Simplified to (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.853 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.853 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 16.854 * [simplify]: Simplifying (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.854 * * [simplify]: iters left: 6 (9 enodes) 16.858 * * [simplify]: iters left: 5 (29 enodes) 16.866 * * [simplify]: Extracting #0: cost 1 inf + 0 16.866 * * [simplify]: Extracting #1: cost 3 inf + 0 16.866 * * [simplify]: Extracting #2: cost 5 inf + 0 16.866 * * [simplify]: Extracting #3: cost 8 inf + 0 16.866 * * [simplify]: Extracting #4: cost 9 inf + 1 16.866 * * [simplify]: Extracting #5: cost 12 inf + 1 16.866 * * [simplify]: Extracting #6: cost 14 inf + 42 16.866 * * [simplify]: Extracting #7: cost 10 inf + 166 16.866 * * [simplify]: Extracting #8: cost 7 inf + 572 16.867 * * [simplify]: Extracting #9: cost 4 inf + 1218 16.867 * * [simplify]: Extracting #10: cost 1 inf + 2024 16.868 * * [simplify]: Extracting #11: cost 0 inf + 2346 16.869 * [simplify]: Simplified to (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.869 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.869 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 16.869 * [simplify]: Simplifying (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.869 * * [simplify]: iters left: 6 (9 enodes) 16.873 * * [simplify]: iters left: 5 (29 enodes) 16.881 * * [simplify]: Extracting #0: cost 1 inf + 0 16.881 * * [simplify]: Extracting #1: cost 3 inf + 0 16.881 * * [simplify]: Extracting #2: cost 5 inf + 0 16.881 * * [simplify]: Extracting #3: cost 8 inf + 0 16.881 * * [simplify]: Extracting #4: cost 9 inf + 1 16.881 * * [simplify]: Extracting #5: cost 12 inf + 1 16.881 * * [simplify]: Extracting #6: cost 14 inf + 42 16.882 * * [simplify]: Extracting #7: cost 10 inf + 166 16.882 * * [simplify]: Extracting #8: cost 7 inf + 572 16.882 * * [simplify]: Extracting #9: cost 4 inf + 1178 16.883 * * [simplify]: Extracting #10: cost 1 inf + 1904 16.884 * * [simplify]: Extracting #11: cost 0 inf + 2186 16.884 * [simplify]: Simplified to (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.884 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.885 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 16.885 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 16.885 * * [simplify]: iters left: 6 (8 enodes) 16.888 * * [simplify]: iters left: 5 (26 enodes) 16.895 * * [simplify]: Extracting #0: cost 1 inf + 0 16.895 * * [simplify]: Extracting #1: cost 3 inf + 0 16.895 * * [simplify]: Extracting #2: cost 6 inf + 0 16.895 * * [simplify]: Extracting #3: cost 7 inf + 1 16.896 * * [simplify]: Extracting #4: cost 10 inf + 1 16.896 * * [simplify]: Extracting #5: cost 12 inf + 42 16.896 * * [simplify]: Extracting #6: cost 9 inf + 125 16.896 * * [simplify]: Extracting #7: cost 5 inf + 572 16.896 * * [simplify]: Extracting #8: cost 1 inf + 1380 16.897 * * [simplify]: Extracting #9: cost 0 inf + 1622 16.897 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 16.897 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 16.898 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 16.898 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 16.898 * * [simplify]: iters left: 6 (8 enodes) 16.901 * * [simplify]: iters left: 5 (26 enodes) 16.908 * * [simplify]: Extracting #0: cost 1 inf + 0 16.908 * * [simplify]: Extracting #1: cost 3 inf + 0 16.908 * * [simplify]: Extracting #2: cost 6 inf + 0 16.908 * * [simplify]: Extracting #3: cost 7 inf + 1 16.908 * * [simplify]: Extracting #4: cost 10 inf + 1 16.909 * * [simplify]: Extracting #5: cost 12 inf + 42 16.909 * * [simplify]: Extracting #6: cost 9 inf + 125 16.909 * * [simplify]: Extracting #7: cost 5 inf + 572 16.909 * * [simplify]: Extracting #8: cost 1 inf + 1380 16.910 * * [simplify]: Extracting #9: cost 0 inf + 1622 16.910 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 16.911 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 16.911 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 16.911 * [simplify]: Simplifying (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.911 * * [simplify]: iters left: 6 (9 enodes) 16.915 * * [simplify]: iters left: 5 (29 enodes) 16.922 * * [simplify]: Extracting #0: cost 1 inf + 0 16.923 * * [simplify]: Extracting #1: cost 3 inf + 0 16.923 * * [simplify]: Extracting #2: cost 5 inf + 0 16.923 * * [simplify]: Extracting #3: cost 8 inf + 0 16.923 * * [simplify]: Extracting #4: cost 9 inf + 1 16.923 * * [simplify]: Extracting #5: cost 12 inf + 1 16.923 * * [simplify]: Extracting #6: cost 14 inf + 42 16.923 * * [simplify]: Extracting #7: cost 10 inf + 166 16.923 * * [simplify]: Extracting #8: cost 7 inf + 572 16.924 * * [simplify]: Extracting #9: cost 4 inf + 1178 16.924 * * [simplify]: Extracting #10: cost 1 inf + 1904 16.925 * * [simplify]: Extracting #11: cost 0 inf + 2186 16.926 * [simplify]: Simplified to (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 16.926 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 16.926 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 16.926 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 16.926 * * [simplify]: iters left: 6 (8 enodes) 16.930 * * [simplify]: iters left: 5 (26 enodes) 16.937 * * [simplify]: Extracting #0: cost 1 inf + 0 16.937 * * [simplify]: Extracting #1: cost 3 inf + 0 16.937 * * [simplify]: Extracting #2: cost 6 inf + 0 16.937 * * [simplify]: Extracting #3: cost 7 inf + 1 16.937 * * [simplify]: Extracting #4: cost 10 inf + 1 16.938 * * [simplify]: Extracting #5: cost 12 inf + 42 16.938 * * [simplify]: Extracting #6: cost 9 inf + 125 16.938 * * [simplify]: Extracting #7: cost 5 inf + 572 16.938 * * [simplify]: Extracting #8: cost 1 inf + 1380 16.939 * * [simplify]: Extracting #9: cost 0 inf + 1622 16.939 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 16.940 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 16.940 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 16.940 * [simplify]: Simplifying (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 16.940 * * [simplify]: iters left: 6 (7 enodes) 16.944 * * [simplify]: iters left: 5 (24 enodes) 16.951 * * [simplify]: iters left: 4 (28 enodes) 16.960 * * [simplify]: Extracting #0: cost 1 inf + 0 16.960 * * [simplify]: Extracting #1: cost 3 inf + 0 16.960 * * [simplify]: Extracting #2: cost 5 inf + 0 16.960 * * [simplify]: Extracting #3: cost 7 inf + 0 16.960 * * [simplify]: Extracting #4: cost 12 inf + 0 16.960 * * [simplify]: Extracting #5: cost 12 inf + 2 16.960 * * [simplify]: Extracting #6: cost 6 inf + 332 16.960 * * [simplify]: Extracting #7: cost 3 inf + 778 16.961 * * [simplify]: Extracting #8: cost 1 inf + 1222 16.961 * * [simplify]: Extracting #9: cost 0 inf + 1464 16.962 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 16.962 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im)))))))) 16.962 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 16.963 * [simplify]: Simplifying (sqrt 2.0) 16.963 * * [simplify]: iters left: 1 (2 enodes) 16.965 * * [simplify]: Extracting #0: cost 1 inf + 0 16.965 * * [simplify]: Extracting #1: cost 3 inf + 0 16.965 * * [simplify]: Extracting #2: cost 2 inf + 1 16.965 * * [simplify]: Extracting #3: cost 0 inf + 83 16.965 * [simplify]: Simplified to (sqrt 2.0) 16.965 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im)))))) 16.965 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 16.966 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 16.966 * * [simplify]: iters left: 6 (6 enodes) 16.969 * * [simplify]: iters left: 5 (21 enodes) 16.976 * * [simplify]: iters left: 4 (25 enodes) 16.983 * * [simplify]: Extracting #0: cost 1 inf + 0 16.983 * * [simplify]: Extracting #1: cost 3 inf + 0 16.984 * * [simplify]: Extracting #2: cost 5 inf + 0 16.984 * * [simplify]: Extracting #3: cost 10 inf + 0 16.984 * * [simplify]: Extracting #4: cost 10 inf + 2 16.984 * * [simplify]: Extracting #5: cost 1 inf + 738 16.984 * * [simplify]: Extracting #6: cost 0 inf + 900 16.985 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 16.985 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 16.985 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 16.985 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 16.985 * [simplify]: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 16.986 * * [simplify]: iters left: 6 (11 enodes) 16.991 * * [simplify]: iters left: 5 (40 enodes) 17.003 * * [simplify]: iters left: 4 (72 enodes) 17.027 * * [simplify]: iters left: 3 (118 enodes) 17.060 * * [simplify]: iters left: 2 (178 enodes) 17.089 * * [simplify]: iters left: 1 (246 enodes) 17.167 * * [simplify]: Extracting #0: cost 1 inf + 0 17.167 * * [simplify]: Extracting #1: cost 3 inf + 0 17.167 * * [simplify]: Extracting #2: cost 26 inf + 0 17.168 * * [simplify]: Extracting #3: cost 64 inf + 0 17.168 * * [simplify]: Extracting #4: cost 67 inf + 328 17.168 * * [simplify]: Extracting #5: cost 49 inf + 1951 17.170 * * [simplify]: Extracting #6: cost 34 inf + 4899 17.173 * * [simplify]: Extracting #7: cost 6 inf + 12035 17.176 * * [simplify]: Extracting #8: cost 0 inf + 13647 17.180 * [simplify]: Simplified to (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im)))) 17.180 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))))))) 17.180 * * * * [progress]: [ 96 / 109 ] simplifiying candidate # 17.181 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 17.181 * * [simplify]: iters left: 6 (8 enodes) 17.184 * * [simplify]: iters left: 5 (27 enodes) 17.187 * * [simplify]: iters left: 4 (30 enodes) 17.191 * * [simplify]: Extracting #0: cost 1 inf + 0 17.191 * * [simplify]: Extracting #1: cost 3 inf + 0 17.191 * * [simplify]: Extracting #2: cost 7 inf + 0 17.191 * * [simplify]: Extracting #3: cost 9 inf + 1 17.191 * * [simplify]: Extracting #4: cost 10 inf + 83 17.191 * * [simplify]: Extracting #5: cost 12 inf + 124 17.192 * * [simplify]: Extracting #6: cost 9 inf + 207 17.192 * * [simplify]: Extracting #7: cost 5 inf + 654 17.192 * * [simplify]: Extracting #8: cost 1 inf + 1462 17.192 * * [simplify]: Extracting #9: cost 0 inf + 1704 17.193 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 17.193 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 17.193 * * * * [progress]: [ 97 / 109 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> 17.193 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 17.193 * [simplify]: Simplifying im 17.193 * * [simplify]: iters left: 0 (1 enodes) 17.193 * * [simplify]: Extracting #0: cost 1 inf + 0 17.193 * * [simplify]: Extracting #1: cost 0 inf + 1 17.193 * [simplify]: Simplified to im 17.193 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ im re))))) 17.193 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 17.194 * [simplify]: Simplifying re 17.194 * * [simplify]: iters left: 0 (1 enodes) 17.194 * * [simplify]: Extracting #0: cost 1 inf + 0 17.194 * * [simplify]: Extracting #1: cost 0 inf + 1 17.194 * [simplify]: Simplified to re 17.194 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re))))) 17.194 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 17.194 * [simplify]: Simplifying (* -1 re) 17.194 * * [simplify]: iters left: 2 (3 enodes) 17.195 * * [simplify]: iters left: 1 (11 enodes) 17.197 * * [simplify]: Extracting #0: cost 1 inf + 0 17.197 * * [simplify]: Extracting #1: cost 4 inf + 0 17.197 * * [simplify]: Extracting #2: cost 0 inf + 84 17.197 * [simplify]: Simplified to (- re) 17.197 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (- re) re))))) 17.197 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 17.197 * [simplify]: Simplifying (* (sqrt 2.0) im) 17.198 * * [simplify]: iters left: 3 (4 enodes) 17.199 * * [simplify]: iters left: 2 (13 enodes) 17.201 * * [simplify]: Extracting #0: cost 1 inf + 0 17.201 * * [simplify]: Extracting #1: cost 4 inf + 0 17.202 * * [simplify]: Extracting #2: cost 5 inf + 1 17.202 * * [simplify]: Extracting #3: cost 4 inf + 2 17.202 * * [simplify]: Extracting #4: cost 0 inf + 248 17.202 * [simplify]: Simplified to (* im (sqrt 2.0)) 17.202 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 17.202 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 17.202 * [simplify]: Simplifying (* (sqrt 2.0) im) 17.202 * * [simplify]: iters left: 3 (4 enodes) 17.204 * * [simplify]: iters left: 2 (13 enodes) 17.206 * * [simplify]: Extracting #0: cost 1 inf + 0 17.206 * * [simplify]: Extracting #1: cost 4 inf + 0 17.206 * * [simplify]: Extracting #2: cost 5 inf + 1 17.206 * * [simplify]: Extracting #3: cost 4 inf + 2 17.206 * * [simplify]: Extracting #4: cost 0 inf + 248 17.206 * [simplify]: Simplified to (* im (sqrt 2.0)) 17.206 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 17.206 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 17.207 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 17.207 * * [simplify]: iters left: 5 (6 enodes) 17.209 * * [simplify]: iters left: 4 (23 enodes) 17.214 * * [simplify]: iters left: 3 (36 enodes) 17.221 * * [simplify]: iters left: 2 (41 enodes) 17.227 * * [simplify]: Extracting #0: cost 1 inf + 0 17.227 * * [simplify]: Extracting #1: cost 8 inf + 0 17.227 * * [simplify]: Extracting #2: cost 10 inf + 43 17.227 * * [simplify]: Extracting #3: cost 8 inf + 85 17.227 * * [simplify]: Extracting #4: cost 2 inf + 534 17.227 * * [simplify]: Extracting #5: cost 0 inf + 737 17.228 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 17.228 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (- (* (sqrt 2.0) im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 17.228 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 17.228 * [simplify]: Simplifying (+ re im) 17.228 * * [simplify]: iters left: 2 (3 enodes) 17.229 * * [simplify]: iters left: 1 (10 enodes) 17.230 * * [simplify]: Extracting #0: cost 1 inf + 0 17.230 * * [simplify]: Extracting #1: cost 4 inf + 0 17.230 * * [simplify]: Extracting #2: cost 2 inf + 2 17.230 * * [simplify]: Extracting #3: cost 0 inf + 86 17.230 * [simplify]: Simplified to (+ im re) 17.230 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ im re))))) 17.230 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 17.230 * [simplify]: Simplifying (* 2 re) 17.230 * * [simplify]: iters left: 2 (3 enodes) 17.231 * * [simplify]: iters left: 1 (10 enodes) 17.233 * * [simplify]: Extracting #0: cost 1 inf + 0 17.233 * * [simplify]: Extracting #1: cost 4 inf + 0 17.233 * * [simplify]: Extracting #2: cost 2 inf + 2 17.233 * * [simplify]: Extracting #3: cost 0 inf + 86 17.233 * [simplify]: Simplified to (* 2 re) 17.233 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 2 re))))) 17.233 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 17.233 * [simplify]: Simplifying 0 17.233 * * [simplify]: iters left: 0 (1 enodes) 17.234 * * [simplify]: Extracting #0: cost 1 inf + 0 17.234 * * [simplify]: Extracting #1: cost 0 inf + 1 17.234 * [simplify]: Simplified to 0 17.234 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt 0)))) 17.234 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 17.234 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) 17.234 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 17.234 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 17.235 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 17.235 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 17.235 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 17.235 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 17.235 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 17.235 * * * [progress]: adding candidates to table 18.381 * [progress]: [Phase 3 of 3] Extracting. 18.381 * * [regime]: Finding splitpoints for: (# # # # # # # #) 18.385 * * * [regime-changes]: Trying 6 branch expressions: (im (* im im) re (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 18.386 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 18.460 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 18.525 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 18.579 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 18.661 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 18.762 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # #) 18.837 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # #) 18.921 * * * [regime]: Found split indices: #