0.004 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.200 * * * [progress]: [2/2] Setting up program. 0.204 * [progress]: [Phase 2 of 3] Improving. 0.204 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.205 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.207 * * [simplify]: iters left: 6 (12 enodes) 0.214 * * [simplify]: iters left: 5 (41 enodes) 0.225 * * [simplify]: iters left: 4 (50 enodes) 0.240 * * [simplify]: iters left: 3 (64 enodes) 0.256 * * [simplify]: iters left: 2 (73 enodes) 0.275 * * [simplify]: iters left: 1 (75 enodes) 0.299 * * [simplify]: Extracting #0: cost 1 inf + 0 0.299 * * [simplify]: Extracting #1: cost 4 inf + 0 0.300 * * [simplify]: Extracting #2: cost 5 inf + 1 0.300 * * [simplify]: Extracting #3: cost 11 inf + 1 0.300 * * [simplify]: Extracting #4: cost 18 inf + 2 0.300 * * [simplify]: Extracting #5: cost 17 inf + 209 0.300 * * [simplify]: Extracting #6: cost 16 inf + 415 0.300 * * [simplify]: Extracting #7: cost 18 inf + 456 0.300 * * [simplify]: Extracting #8: cost 15 inf + 539 0.301 * * [simplify]: Extracting #9: cost 7 inf + 1795 0.301 * * [simplify]: Extracting #10: cost 0 inf + 3658 0.302 * [simplify]: Simplified to (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.302 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.308 * * [progress]: iteration 1 / 4 0.309 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.339 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.348 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.409 * * * [progress]: generating series expansions 0.409 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.413 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.413 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.414 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.415 * [taylor]: Taking taylor expansion of re in im 0.415 * [backup-simplify]: Simplify re into re 0.415 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.415 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.415 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.416 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.416 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.416 * [taylor]: Taking taylor expansion of im in re 0.416 * [backup-simplify]: Simplify im into im 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.416 * [taylor]: Taking taylor expansion of re in re 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.416 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.416 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.417 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.417 * [taylor]: Taking taylor expansion of im in re 0.417 * [backup-simplify]: Simplify im into im 0.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.417 * [taylor]: Taking taylor expansion of re in re 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.417 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.417 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.418 * [taylor]: Taking taylor expansion of im in im 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [taylor]: Taking taylor expansion of 0 in im 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.420 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.420 * [taylor]: Taking taylor expansion of 1/2 in im 0.420 * [backup-simplify]: Simplify 1/2 into 1/2 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.423 * [taylor]: Taking taylor expansion of 0 in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.424 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.424 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.424 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.424 * [taylor]: Taking taylor expansion of re in im 0.424 * [backup-simplify]: Simplify re into re 0.424 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.424 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.424 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.424 * [taylor]: Taking taylor expansion of im in im 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.425 * [backup-simplify]: Simplify (sqrt 1) into 1 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.427 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.427 * [taylor]: Taking taylor expansion of re in re 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.427 * [taylor]: Taking taylor expansion of im in re 0.427 * [backup-simplify]: Simplify im into im 0.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (sqrt 1) into 1 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.430 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.430 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.430 * [backup-simplify]: Simplify im into im 0.430 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.430 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (sqrt 1) into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.432 * [taylor]: Taking taylor expansion of 1 in im 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of 0 in im 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.434 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.435 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.435 * [taylor]: Taking taylor expansion of 1/2 in im 0.435 * [backup-simplify]: Simplify 1/2 into 1/2 0.435 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.435 * [taylor]: Taking taylor expansion of im in im 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.441 * [taylor]: Taking taylor expansion of 0 in im 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.444 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.444 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.444 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.444 * [backup-simplify]: Simplify re into re 0.444 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.444 * [taylor]: Taking taylor expansion of im in im 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [backup-simplify]: Simplify (sqrt 1) into 1 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.448 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.449 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [backup-simplify]: Simplify im into im 0.449 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.449 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.450 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (sqrt 1) into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.453 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.453 * [taylor]: Taking taylor expansion of re in re 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.454 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.454 * [taylor]: Taking taylor expansion of im in re 0.454 * [backup-simplify]: Simplify im into im 0.454 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (sqrt 1) into 1 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.458 * [taylor]: Taking taylor expansion of 1 in im 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of 0 in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.461 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.461 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.461 * [taylor]: Taking taylor expansion of 1/2 in im 0.461 * [backup-simplify]: Simplify 1/2 into 1/2 0.461 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.461 * [taylor]: Taking taylor expansion of im in im 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.470 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.470 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.470 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.470 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.470 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.470 * [taylor]: Taking taylor expansion of re in im 0.470 * [backup-simplify]: Simplify re into re 0.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.471 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.471 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.471 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.471 * [taylor]: Taking taylor expansion of re in im 0.471 * [backup-simplify]: Simplify re into re 0.471 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.471 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.471 * [taylor]: Taking taylor expansion of im in re 0.471 * [backup-simplify]: Simplify im into im 0.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.472 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.472 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.473 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.473 * [backup-simplify]: Simplify im into im 0.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.473 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.473 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.473 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.474 * [taylor]: Taking taylor expansion of re in re 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ im 0) into im 0.474 * [taylor]: Taking taylor expansion of im in im 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- 1) into -1 0.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.475 * [taylor]: Taking taylor expansion of -1 in im 0.475 * [backup-simplify]: Simplify -1 into -1 0.475 * [backup-simplify]: Simplify -1 into -1 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 0 1) into 1 0.478 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.478 * [taylor]: Taking taylor expansion of 1/2 in im 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1/2 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 0.481 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in im 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.486 * [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)) 0.486 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.486 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.486 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.486 * [taylor]: Taking taylor expansion of re in im 0.486 * [backup-simplify]: Simplify re into re 0.486 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.486 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.486 * [taylor]: Taking taylor expansion of im in im 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [backup-simplify]: Simplify (+ 0 1) into 1 0.487 * [backup-simplify]: Simplify (sqrt 1) into 1 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.489 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.489 * [taylor]: Taking taylor expansion of re in im 0.489 * [backup-simplify]: Simplify re into re 0.489 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.489 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.489 * [taylor]: Taking taylor expansion of re in re 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.490 * [backup-simplify]: Simplify im into im 0.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.490 * [backup-simplify]: Simplify (+ 1 0) into 1 0.491 * [backup-simplify]: Simplify (sqrt 1) into 1 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.492 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.492 * [taylor]: Taking taylor expansion of re in re 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [backup-simplify]: Simplify im into im 0.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.494 * [backup-simplify]: Simplify (+ 1 0) into 1 0.494 * [backup-simplify]: Simplify (sqrt 1) into 1 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.495 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.495 * [taylor]: Taking taylor expansion of re in re 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (- 1) into -1 0.496 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.496 * [taylor]: Taking taylor expansion of 0 in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in im 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 1))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.500 * [taylor]: Taking taylor expansion of 1/2 in im 0.500 * [backup-simplify]: Simplify 1/2 into 1/2 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [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))))) 0.507 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.507 * [backup-simplify]: Simplify re into re 0.507 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.507 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.507 * [backup-simplify]: Simplify re into re 0.507 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.507 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [backup-simplify]: Simplify (+ 0 1) into 1 0.508 * [backup-simplify]: Simplify (sqrt 1) into 1 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.518 * [taylor]: Taking taylor expansion of re in re 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.518 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.518 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.519 * [taylor]: Taking taylor expansion of im in re 0.519 * [backup-simplify]: Simplify im into im 0.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.520 * [backup-simplify]: Simplify (+ 1 0) into 1 0.520 * [backup-simplify]: Simplify (sqrt 1) into 1 0.521 * [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) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.522 * [taylor]: Taking taylor expansion of (/ 1 re) 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 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.522 * [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)) 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [backup-simplify]: Simplify (sqrt 1) into 1 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.525 * [backup-simplify]: Simplify (+ 1 1) into 2 0.525 * [taylor]: Taking taylor expansion of 2 in im 0.525 * [backup-simplify]: Simplify 2 into 2 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [taylor]: Taking taylor expansion of 0 in im 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 2 into 2 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.529 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.529 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.529 * [taylor]: Taking taylor expansion of 1/2 in im 0.529 * [backup-simplify]: Simplify 1/2 into 1/2 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.529 * [taylor]: Taking taylor expansion of im in im 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in im 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.536 * * * [progress]: simplifying candidates 0.536 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 0.536 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 0.536 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 0.536 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 0.536 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 0.536 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 0.536 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 0.536 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.537 * * [simplify]: iters left: 6 (8 enodes) 0.539 * * [simplify]: iters left: 5 (26 enodes) 0.547 * * [simplify]: Extracting #0: cost 1 inf + 0 0.547 * * [simplify]: Extracting #1: cost 4 inf + 0 0.547 * * [simplify]: Extracting #2: cost 7 inf + 0 0.547 * * [simplify]: Extracting #3: cost 10 inf + 0 0.547 * * [simplify]: Extracting #4: cost 14 inf + 0 0.547 * * [simplify]: Extracting #5: cost 10 inf + 84 0.548 * * [simplify]: Extracting #6: cost 8 inf + 166 0.548 * * [simplify]: Extracting #7: cost 4 inf + 854 0.548 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.549 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.550 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.550 * [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))))) 0.550 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 0.550 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.550 * * [simplify]: iters left: 6 (7 enodes) 0.553 * * [simplify]: iters left: 5 (22 enodes) 0.559 * * [simplify]: Extracting #0: cost 1 inf + 0 0.559 * * [simplify]: Extracting #1: cost 3 inf + 0 0.559 * * [simplify]: Extracting #2: cost 5 inf + 0 0.559 * * [simplify]: Extracting #3: cost 8 inf + 0 0.559 * * [simplify]: Extracting #4: cost 12 inf + 0 0.559 * * [simplify]: Extracting #5: cost 10 inf + 2 0.560 * * [simplify]: Extracting #6: cost 1 inf + 936 0.560 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.561 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.561 * [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))))) 0.561 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 0.561 * [simplify]: Simplifying (sqrt 1) 0.561 * * [simplify]: iters left: 1 (2 enodes) 0.565 * * [simplify]: Extracting #0: cost 1 inf + 0 0.565 * * [simplify]: Extracting #1: cost 0 inf + 1 0.565 * [simplify]: Simplified to 1 0.565 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.565 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 0.565 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.566 * * [simplify]: iters left: 6 (9 enodes) 0.569 * * [simplify]: iters left: 5 (45 enodes) 0.579 * * [simplify]: iters left: 4 (100 enodes) 0.609 * * [simplify]: iters left: 3 (201 enodes) 0.667 * * [simplify]: iters left: 2 (406 enodes) 0.808 * * [simplify]: Extracting #0: cost 1 inf + 0 0.808 * * [simplify]: Extracting #1: cost 3 inf + 0 0.808 * * [simplify]: Extracting #2: cost 6 inf + 0 0.809 * * [simplify]: Extracting #3: cost 62 inf + 0 0.809 * * [simplify]: Extracting #4: cost 166 inf + 460 0.811 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.814 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.825 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.837 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.845 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.845 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 0.845 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 0.846 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.846 * * [simplify]: iters left: 6 (8 enodes) 0.848 * * [simplify]: iters left: 5 (37 enodes) 0.854 * * [simplify]: iters left: 4 (67 enodes) 0.866 * * [simplify]: iters left: 3 (123 enodes) 0.907 * * [simplify]: iters left: 2 (278 enodes) 1.018 * * [simplify]: Extracting #0: cost 1 inf + 0 1.018 * * [simplify]: Extracting #1: cost 3 inf + 0 1.018 * * [simplify]: Extracting #2: cost 50 inf + 0 1.019 * * [simplify]: Extracting #3: cost 150 inf + 0 1.020 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.022 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.028 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.036 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.043 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.043 * [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))))) 1.043 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 1.044 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.044 * * [simplify]: iters left: 4 (5 enodes) 1.045 * * [simplify]: iters left: 3 (16 enodes) 1.047 * * [simplify]: Extracting #0: cost 1 inf + 0 1.047 * * [simplify]: Extracting #1: cost 4 inf + 0 1.047 * * [simplify]: Extracting #2: cost 8 inf + 0 1.047 * * [simplify]: Extracting #3: cost 4 inf + 84 1.047 * * [simplify]: Extracting #4: cost 0 inf + 410 1.047 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.047 * [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))))) 1.047 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 1.047 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 1.048 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.048 * * [simplify]: iters left: 5 (6 enodes) 1.049 * * [simplify]: iters left: 4 (19 enodes) 1.051 * * [simplify]: Extracting #0: cost 1 inf + 0 1.051 * * [simplify]: Extracting #1: cost 3 inf + 0 1.051 * * [simplify]: Extracting #2: cost 6 inf + 0 1.051 * * [simplify]: Extracting #3: cost 10 inf + 0 1.051 * * [simplify]: Extracting #4: cost 6 inf + 84 1.052 * * [simplify]: Extracting #5: cost 0 inf + 734 1.052 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.052 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.052 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 1.052 * * * * [progress]: [ 16 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.052 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 1.052 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.052 * * [simplify]: iters left: 6 (9 enodes) 1.054 * * [simplify]: iters left: 5 (30 enodes) 1.061 * * [simplify]: iters left: 4 (34 enodes) 1.065 * * [simplify]: iters left: 3 (39 enodes) 1.070 * * [simplify]: iters left: 2 (44 enodes) 1.077 * * [simplify]: iters left: 1 (52 enodes) 1.086 * * [simplify]: Extracting #0: cost 1 inf + 0 1.086 * * [simplify]: Extracting #1: cost 9 inf + 0 1.086 * * [simplify]: Extracting #2: cost 15 inf + 1 1.086 * * [simplify]: Extracting #3: cost 17 inf + 2 1.086 * * [simplify]: Extracting #4: cost 18 inf + 114 1.086 * * [simplify]: Extracting #5: cost 15 inf + 601 1.087 * * [simplify]: Extracting #6: cost 7 inf + 1413 1.088 * * [simplify]: Extracting #7: cost 0 inf + 3047 1.089 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 1.089 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 1.089 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 1.089 * * * * [progress]: [ 19 / 38 ] simplifiying candidate # 1.089 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 1.089 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 1.090 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 1.090 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 1.090 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 1.090 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 1.090 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 1.090 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 1.090 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 1.090 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.090 * * [simplify]: iters left: 6 (9 enodes) 1.094 * * [simplify]: iters left: 5 (29 enodes) 1.102 * * [simplify]: Extracting #0: cost 1 inf + 0 1.102 * * [simplify]: Extracting #1: cost 4 inf + 0 1.102 * * [simplify]: Extracting #2: cost 8 inf + 0 1.102 * * [simplify]: Extracting #3: cost 9 inf + 1 1.103 * * [simplify]: Extracting #4: cost 11 inf + 42 1.103 * * [simplify]: Extracting #5: cost 12 inf + 124 1.103 * * [simplify]: Extracting #6: cost 8 inf + 248 1.103 * * [simplify]: Extracting #7: cost 5 inf + 654 1.104 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.105 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.105 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.105 * [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))))))) 1.106 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.106 * * [simplify]: iters left: 6 (9 enodes) 1.110 * * [simplify]: iters left: 5 (30 enodes) 1.118 * * [simplify]: iters left: 4 (33 enodes) 1.128 * * [simplify]: Extracting #0: cost 1 inf + 0 1.128 * * [simplify]: Extracting #1: cost 5 inf + 0 1.128 * * [simplify]: Extracting #2: cost 10 inf + 0 1.128 * * [simplify]: Extracting #3: cost 11 inf + 1 1.128 * * [simplify]: Extracting #4: cost 10 inf + 245 1.128 * * [simplify]: Extracting #5: cost 12 inf + 286 1.128 * * [simplify]: Extracting #6: cost 8 inf + 410 1.129 * * [simplify]: Extracting #7: cost 6 inf + 694 1.129 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.130 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.131 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.131 * [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))))))) 1.131 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 1.131 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.131 * * [simplify]: iters left: 6 (9 enodes) 1.135 * * [simplify]: iters left: 5 (29 enodes) 1.143 * * [simplify]: Extracting #0: cost 1 inf + 0 1.143 * * [simplify]: Extracting #1: cost 4 inf + 0 1.143 * * [simplify]: Extracting #2: cost 8 inf + 0 1.143 * * [simplify]: Extracting #3: cost 9 inf + 1 1.143 * * [simplify]: Extracting #4: cost 11 inf + 42 1.143 * * [simplify]: Extracting #5: cost 12 inf + 124 1.143 * * [simplify]: Extracting #6: cost 8 inf + 248 1.143 * * [simplify]: Extracting #7: cost 5 inf + 654 1.144 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.145 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.145 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.145 * [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))))))) 1.146 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.146 * * [simplify]: iters left: 6 (9 enodes) 1.149 * * [simplify]: iters left: 5 (30 enodes) 1.158 * * [simplify]: iters left: 4 (33 enodes) 1.162 * * [simplify]: Extracting #0: cost 1 inf + 0 1.162 * * [simplify]: Extracting #1: cost 5 inf + 0 1.162 * * [simplify]: Extracting #2: cost 10 inf + 0 1.162 * * [simplify]: Extracting #3: cost 11 inf + 1 1.162 * * [simplify]: Extracting #4: cost 10 inf + 245 1.162 * * [simplify]: Extracting #5: cost 12 inf + 286 1.162 * * [simplify]: Extracting #6: cost 8 inf + 410 1.163 * * [simplify]: Extracting #7: cost 6 inf + 694 1.163 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.163 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.164 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.164 * [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))))))) 1.164 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 1.164 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 1.164 * * [simplify]: iters left: 6 (7 enodes) 1.166 * * [simplify]: iters left: 5 (24 enodes) 1.169 * * [simplify]: iters left: 4 (27 enodes) 1.173 * * [simplify]: Extracting #0: cost 1 inf + 0 1.173 * * [simplify]: Extracting #1: cost 5 inf + 0 1.173 * * [simplify]: Extracting #2: cost 7 inf + 1 1.173 * * [simplify]: Extracting #3: cost 8 inf + 83 1.173 * * [simplify]: Extracting #4: cost 10 inf + 124 1.174 * * [simplify]: Extracting #5: cost 6 inf + 248 1.174 * * [simplify]: Extracting #6: cost 3 inf + 654 1.174 * * [simplify]: Extracting #7: cost 1 inf + 1018 1.174 * * [simplify]: Extracting #8: cost 0 inf + 1220 1.174 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 1.174 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 1.175 * * * * [progress]: [ 31 / 38 ] simplifiying candidate # 1.175 * * * * [progress]: [ 32 / 38 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.175 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 1.175 * [simplify]: Simplifying im 1.175 * * [simplify]: iters left: 0 (1 enodes) 1.175 * * [simplify]: Extracting #0: cost 1 inf + 0 1.175 * * [simplify]: Extracting #1: cost 0 inf + 1 1.175 * [simplify]: Simplified to im 1.175 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 1.175 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 1.175 * [simplify]: Simplifying re 1.175 * * [simplify]: iters left: 0 (1 enodes) 1.176 * * [simplify]: Extracting #0: cost 1 inf + 0 1.176 * * [simplify]: Extracting #1: cost 0 inf + 1 1.176 * [simplify]: Simplified to re 1.176 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re))))) 1.176 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 1.176 * [simplify]: Simplifying (* -1 re) 1.176 * * [simplify]: iters left: 2 (3 enodes) 1.177 * * [simplify]: iters left: 1 (11 enodes) 1.179 * * [simplify]: Extracting #0: cost 1 inf + 0 1.179 * * [simplify]: Extracting #1: cost 4 inf + 0 1.179 * * [simplify]: Extracting #2: cost 0 inf + 84 1.179 * [simplify]: Simplified to (- re) 1.179 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re))))) 1.179 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 1.179 * [simplify]: Simplifying (- im re) 1.179 * * [simplify]: iters left: 2 (3 enodes) 1.180 * * [simplify]: iters left: 1 (11 enodes) 1.181 * * [simplify]: Extracting #0: cost 1 inf + 0 1.181 * * [simplify]: Extracting #1: cost 5 inf + 0 1.181 * * [simplify]: Extracting #2: cost 3 inf + 43 1.181 * * [simplify]: Extracting #3: cost 0 inf + 168 1.181 * [simplify]: Simplified to (- im re) 1.181 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 1.181 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 1.181 * [simplify]: Simplifying 0 1.181 * * [simplify]: iters left: 0 (1 enodes) 1.182 * * [simplify]: Extracting #0: cost 1 inf + 0 1.182 * * [simplify]: Extracting #1: cost 0 inf + 1 1.182 * [simplify]: Simplified to 0 1.182 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 1.182 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 1.182 * [simplify]: Simplifying (* -2 re) 1.182 * * [simplify]: iters left: 2 (3 enodes) 1.183 * * [simplify]: iters left: 1 (10 enodes) 1.185 * * [simplify]: Extracting #0: cost 1 inf + 0 1.185 * * [simplify]: Extracting #1: cost 4 inf + 0 1.185 * * [simplify]: Extracting #2: cost 2 inf + 2 1.185 * * [simplify]: Extracting #3: cost 0 inf + 86 1.185 * [simplify]: Simplified to (* -2 re) 1.185 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 1.185 * * * [progress]: adding candidates to table 1.478 * * [progress]: iteration 2 / 4 1.478 * * * [progress]: picking best candidate 1.511 * * * * [pick]: Picked # 1.511 * * * [progress]: localizing error 1.537 * * * [progress]: generating rewritten candidates 1.537 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.543 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.549 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.582 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.644 * * * [progress]: generating series expansions 1.644 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.644 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.644 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.644 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.644 * [taylor]: Taking taylor expansion of im in im 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.644 * [taylor]: Taking taylor expansion of re in im 1.644 * [backup-simplify]: Simplify re into re 1.644 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.644 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.644 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.645 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.645 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.645 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.645 * [taylor]: Taking taylor expansion of im in re 1.645 * [backup-simplify]: Simplify im into im 1.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.646 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.647 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.647 * [taylor]: Taking taylor expansion of im in re 1.647 * [backup-simplify]: Simplify im into im 1.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.647 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.647 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.647 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.648 * [taylor]: Taking taylor expansion of im in im 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [taylor]: Taking taylor expansion of 0 in im 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (+ 0 1) into 1 1.650 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.650 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.650 * [taylor]: Taking taylor expansion of 1/2 in im 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of im in im 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.654 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.654 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.656 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.656 * [taylor]: Taking taylor expansion of re in im 1.656 * [backup-simplify]: Simplify re into re 1.656 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.656 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.656 * [taylor]: Taking taylor expansion of im in im 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [backup-simplify]: Simplify (+ 0 1) into 1 1.658 * [backup-simplify]: Simplify (sqrt 1) into 1 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.660 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.660 * [taylor]: Taking taylor expansion of re in re 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (* 1 1) into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.661 * [backup-simplify]: Simplify im into im 1.661 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.661 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.662 * [backup-simplify]: Simplify (+ 1 0) into 1 1.662 * [backup-simplify]: Simplify (sqrt 1) into 1 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.665 * [taylor]: Taking taylor expansion of re in re 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (* 1 1) into 1 1.666 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.666 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.666 * [taylor]: Taking taylor expansion of im in re 1.666 * [backup-simplify]: Simplify im into im 1.666 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.666 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.667 * [backup-simplify]: Simplify (+ 1 0) into 1 1.667 * [backup-simplify]: Simplify (sqrt 1) into 1 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.670 * [taylor]: Taking taylor expansion of 1 in im 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [taylor]: Taking taylor expansion of 0 in im 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.677 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.677 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.677 * [taylor]: Taking taylor expansion of 1/2 in im 1.677 * [backup-simplify]: Simplify 1/2 into 1/2 1.677 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.677 * [taylor]: Taking taylor expansion of im in im 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (* 1 1) into 1 1.678 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in im 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.687 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.687 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.687 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.687 * [taylor]: Taking taylor expansion of re in im 1.687 * [backup-simplify]: Simplify re into re 1.687 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.687 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.687 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.687 * [taylor]: Taking taylor expansion of im in im 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.689 * [backup-simplify]: Simplify (+ 0 1) into 1 1.689 * [backup-simplify]: Simplify (sqrt 1) into 1 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.692 * [taylor]: Taking taylor expansion of re in re 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (/ 1 1) into 1 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.693 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.693 * [taylor]: Taking taylor expansion of im in re 1.693 * [backup-simplify]: Simplify im into im 1.693 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.693 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.693 * [backup-simplify]: Simplify (+ 1 0) into 1 1.694 * [backup-simplify]: Simplify (sqrt 1) into 1 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.697 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.697 * [taylor]: Taking taylor expansion of re in re 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (* 1 1) into 1 1.698 * [backup-simplify]: Simplify (/ 1 1) into 1 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.698 * [backup-simplify]: Simplify im into im 1.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.698 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.698 * [backup-simplify]: Simplify (+ 1 0) into 1 1.699 * [backup-simplify]: Simplify (sqrt 1) into 1 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.702 * [taylor]: Taking taylor expansion of 1 in im 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [taylor]: Taking taylor expansion of 0 in im 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.705 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.705 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.705 * [taylor]: Taking taylor expansion of 1/2 in im 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.705 * [taylor]: Taking taylor expansion of im in im 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1 1) into 1 1.706 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.711 * [taylor]: Taking taylor expansion of 0 in im 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.713 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.713 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.713 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.713 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.714 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.714 * [taylor]: Taking taylor expansion of im in im 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.714 * [taylor]: Taking taylor expansion of re in im 1.714 * [backup-simplify]: Simplify re into re 1.714 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.714 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.714 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.714 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.715 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.715 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.715 * [taylor]: Taking taylor expansion of im in re 1.715 * [backup-simplify]: Simplify im into im 1.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.715 * [taylor]: Taking taylor expansion of re in re 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.715 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.715 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.716 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.716 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.716 * [taylor]: Taking taylor expansion of im in re 1.716 * [backup-simplify]: Simplify im into im 1.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.716 * [taylor]: Taking taylor expansion of re in re 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.716 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.716 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.716 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.717 * [taylor]: Taking taylor expansion of im in im 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [taylor]: Taking taylor expansion of 0 in im 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.718 * [backup-simplify]: Simplify (+ 0 1) into 1 1.719 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.719 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.719 * [taylor]: Taking taylor expansion of 1/2 in im 1.719 * [backup-simplify]: Simplify 1/2 into 1/2 1.719 * [taylor]: Taking taylor expansion of im in im 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.723 * [taylor]: Taking taylor expansion of 0 in im 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.724 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.725 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.725 * [taylor]: Taking taylor expansion of re in im 1.725 * [backup-simplify]: Simplify re into re 1.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.725 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.725 * [taylor]: Taking taylor expansion of im in im 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* 1 1) into 1 1.726 * [backup-simplify]: Simplify (/ 1 1) into 1 1.726 * [backup-simplify]: Simplify (+ 0 1) into 1 1.727 * [backup-simplify]: Simplify (sqrt 1) into 1 1.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.729 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.729 * [taylor]: Taking taylor expansion of re in re 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (* 1 1) into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.730 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.730 * [taylor]: Taking taylor expansion of im in re 1.730 * [backup-simplify]: Simplify im into im 1.730 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.730 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.731 * [backup-simplify]: Simplify (+ 1 0) into 1 1.731 * [backup-simplify]: Simplify (sqrt 1) into 1 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.734 * [taylor]: Taking taylor expansion of re in re 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.735 * [taylor]: Taking taylor expansion of im in re 1.735 * [backup-simplify]: Simplify im into im 1.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.735 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.735 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [backup-simplify]: Simplify (sqrt 1) into 1 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.738 * [taylor]: Taking taylor expansion of 1 in im 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of 0 in im 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.741 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.742 * [taylor]: Taking taylor expansion of 1/2 in im 1.742 * [backup-simplify]: Simplify 1/2 into 1/2 1.742 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.742 * [taylor]: Taking taylor expansion of im in im 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (* 1 1) into 1 1.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.747 * [taylor]: Taking taylor expansion of 0 in im 1.747 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.751 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.751 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.751 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [backup-simplify]: Simplify re into re 1.751 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.751 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.751 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* 1 1) into 1 1.752 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [backup-simplify]: Simplify (+ 0 1) into 1 1.753 * [backup-simplify]: Simplify (sqrt 1) into 1 1.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.755 * [taylor]: Taking taylor expansion of im in re 1.755 * [backup-simplify]: Simplify im into im 1.756 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.756 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.756 * [backup-simplify]: Simplify (+ 1 0) into 1 1.756 * [backup-simplify]: Simplify (sqrt 1) into 1 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.758 * [taylor]: Taking taylor expansion of re in re 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (* 1 1) into 1 1.758 * [backup-simplify]: Simplify (/ 1 1) into 1 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.758 * [taylor]: Taking taylor expansion of im in re 1.758 * [backup-simplify]: Simplify im into im 1.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.759 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.759 * [backup-simplify]: Simplify (sqrt 1) into 1 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.761 * [taylor]: Taking taylor expansion of 1 in im 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [taylor]: Taking taylor expansion of 0 in im 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.763 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.763 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.763 * [taylor]: Taking taylor expansion of 1/2 in im 1.763 * [backup-simplify]: Simplify 1/2 into 1/2 1.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.763 * [taylor]: Taking taylor expansion of im in im 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.767 * [taylor]: Taking taylor expansion of 0 in im 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.768 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.768 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 1.768 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 1.768 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.768 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.768 * [taylor]: Taking taylor expansion of im in im 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.768 * [taylor]: Taking taylor expansion of re in im 1.768 * [backup-simplify]: Simplify re into re 1.768 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.768 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.768 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.769 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.769 * [taylor]: Taking taylor expansion of re in im 1.769 * [backup-simplify]: Simplify re into re 1.769 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.769 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.769 * [taylor]: Taking taylor expansion of im in re 1.769 * [backup-simplify]: Simplify im into im 1.769 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.769 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.769 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.769 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.770 * [taylor]: Taking taylor expansion of re in re 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.770 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.770 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.770 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.770 * [taylor]: Taking taylor expansion of im in re 1.770 * [backup-simplify]: Simplify im into im 1.770 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.770 * [taylor]: Taking taylor expansion of re in re 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.770 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.770 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.770 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.770 * [taylor]: Taking taylor expansion of re in re 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ im 0) into im 1.771 * [taylor]: Taking taylor expansion of im in im 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (- 1) into -1 1.771 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.771 * [taylor]: Taking taylor expansion of -1 in im 1.771 * [backup-simplify]: Simplify -1 into -1 1.771 * [backup-simplify]: Simplify -1 into -1 1.771 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.772 * [backup-simplify]: Simplify (* 1 1) into 1 1.772 * [backup-simplify]: Simplify (+ 0 1) into 1 1.773 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.773 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.773 * [taylor]: Taking taylor expansion of 1/2 in im 1.773 * [backup-simplify]: Simplify 1/2 into 1/2 1.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.773 * [taylor]: Taking taylor expansion of im in im 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.776 * [backup-simplify]: Simplify (- 0) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [taylor]: Taking taylor expansion of 0 in im 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.777 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 1.777 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 1.777 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 1.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.778 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.778 * [taylor]: Taking taylor expansion of re in im 1.778 * [backup-simplify]: Simplify re into re 1.778 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.778 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.778 * [taylor]: Taking taylor expansion of im in im 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [backup-simplify]: Simplify (+ 0 1) into 1 1.779 * [backup-simplify]: Simplify (sqrt 1) into 1 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.782 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.782 * [taylor]: Taking taylor expansion of re in im 1.782 * [backup-simplify]: Simplify re into re 1.782 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.782 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.782 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.782 * [taylor]: Taking taylor expansion of re in re 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (* 1 1) into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.783 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.783 * [taylor]: Taking taylor expansion of im in re 1.783 * [backup-simplify]: Simplify im into im 1.783 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.783 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.783 * [backup-simplify]: Simplify (+ 1 0) into 1 1.784 * [backup-simplify]: Simplify (sqrt 1) into 1 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.786 * [taylor]: Taking taylor expansion of re in re 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.787 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.787 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.787 * [taylor]: Taking taylor expansion of re in re 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (* 1 1) into 1 1.788 * [backup-simplify]: Simplify (/ 1 1) into 1 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.788 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.788 * [taylor]: Taking taylor expansion of im in re 1.788 * [backup-simplify]: Simplify im into im 1.788 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.788 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.789 * [backup-simplify]: Simplify (sqrt 1) into 1 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.791 * [taylor]: Taking taylor expansion of re in re 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify (- 1) into -1 1.792 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.793 * [taylor]: Taking taylor expansion of 0 in im 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [taylor]: Taking taylor expansion of 0 in im 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.797 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.799 * [taylor]: Taking taylor expansion of 1/2 in im 1.799 * [backup-simplify]: Simplify 1/2 into 1/2 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.799 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.799 * [taylor]: Taking taylor expansion of im in im 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (* 1 1) into 1 1.800 * [backup-simplify]: Simplify (/ 1 1) into 1 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.804 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (- 0) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [taylor]: Taking taylor expansion of 0 in im 1.807 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1.816 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.816 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.816 * [taylor]: Taking taylor expansion of re in im 1.816 * [backup-simplify]: Simplify re into re 1.816 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.816 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.816 * [taylor]: Taking taylor expansion of re in im 1.816 * [backup-simplify]: Simplify re into re 1.816 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.816 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.816 * [taylor]: Taking taylor expansion of im in im 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (* 1 1) into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [backup-simplify]: Simplify (+ 0 1) into 1 1.818 * [backup-simplify]: Simplify (sqrt 1) into 1 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.821 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.821 * [taylor]: Taking taylor expansion of re in re 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (/ 1 1) into 1 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.821 * [taylor]: Taking taylor expansion of re in re 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (* 1 1) into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.822 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.822 * [taylor]: Taking taylor expansion of im in re 1.822 * [backup-simplify]: Simplify im into im 1.822 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.823 * [backup-simplify]: Simplify (+ 1 0) into 1 1.823 * [backup-simplify]: Simplify (sqrt 1) into 1 1.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.825 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.825 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.825 * [taylor]: Taking taylor expansion of re in re 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.826 * [taylor]: Taking taylor expansion of re in re 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.827 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.827 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.827 * [taylor]: Taking taylor expansion of im in re 1.827 * [backup-simplify]: Simplify im into im 1.827 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.828 * [backup-simplify]: Simplify (+ 1 0) into 1 1.828 * [backup-simplify]: Simplify (sqrt 1) into 1 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.831 * [backup-simplify]: Simplify (+ 1 1) into 2 1.831 * [taylor]: Taking taylor expansion of 2 in im 1.831 * [backup-simplify]: Simplify 2 into 2 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [taylor]: Taking taylor expansion of 0 in im 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 2 into 2 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.837 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.837 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.837 * [taylor]: Taking taylor expansion of 1/2 in im 1.837 * [backup-simplify]: Simplify 1/2 into 1/2 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.837 * [taylor]: Taking taylor expansion of im in im 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (* 1 1) into 1 1.838 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [taylor]: Taking taylor expansion of 0 in im 1.845 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.849 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.849 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 1.849 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.849 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.849 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.849 * [taylor]: Taking taylor expansion of im in im 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.850 * [taylor]: Taking taylor expansion of re in im 1.850 * [backup-simplify]: Simplify re into re 1.850 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.850 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.850 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.850 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.851 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.851 * [taylor]: Taking taylor expansion of im in re 1.851 * [backup-simplify]: Simplify im into im 1.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.851 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.851 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.851 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.852 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.852 * [taylor]: Taking taylor expansion of im in re 1.852 * [backup-simplify]: Simplify im into im 1.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.852 * [taylor]: Taking taylor expansion of re in re 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.852 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.852 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.852 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.853 * [taylor]: Taking taylor expansion of im in im 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [taylor]: Taking taylor expansion of 0 in im 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.854 * [backup-simplify]: Simplify (* 1 1) into 1 1.854 * [backup-simplify]: Simplify (+ 0 1) into 1 1.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.855 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.855 * [taylor]: Taking taylor expansion of 1/2 in im 1.855 * [backup-simplify]: Simplify 1/2 into 1/2 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.859 * [taylor]: Taking taylor expansion of 0 in im 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.861 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.861 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.861 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.861 * [taylor]: Taking taylor expansion of re in im 1.861 * [backup-simplify]: Simplify re into re 1.861 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.861 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.862 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.862 * [taylor]: Taking taylor expansion of im in im 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [backup-simplify]: Simplify (+ 0 1) into 1 1.863 * [backup-simplify]: Simplify (sqrt 1) into 1 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.866 * [taylor]: Taking taylor expansion of re in re 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.867 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.867 * [taylor]: Taking taylor expansion of im in re 1.867 * [backup-simplify]: Simplify im into im 1.867 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.868 * [backup-simplify]: Simplify (+ 1 0) into 1 1.868 * [backup-simplify]: Simplify (sqrt 1) into 1 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.871 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.871 * [taylor]: Taking taylor expansion of re in re 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.872 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.872 * [taylor]: Taking taylor expansion of im in re 1.872 * [backup-simplify]: Simplify im into im 1.872 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.872 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.872 * [backup-simplify]: Simplify (+ 1 0) into 1 1.873 * [backup-simplify]: Simplify (sqrt 1) into 1 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.875 * [taylor]: Taking taylor expansion of 1 in im 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of 0 in im 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.879 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.879 * [taylor]: Taking taylor expansion of 1/2 in im 1.879 * [backup-simplify]: Simplify 1/2 into 1/2 1.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.879 * [taylor]: Taking taylor expansion of im in im 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (* 1 1) into 1 1.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.885 * [taylor]: Taking taylor expansion of 0 in im 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.888 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.888 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.888 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.888 * [taylor]: Taking taylor expansion of re in im 1.888 * [backup-simplify]: Simplify re into re 1.888 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.888 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.888 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.888 * [taylor]: Taking taylor expansion of im in im 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (* 1 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.890 * [backup-simplify]: Simplify (+ 0 1) into 1 1.890 * [backup-simplify]: Simplify (sqrt 1) into 1 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.893 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.893 * [backup-simplify]: Simplify im into im 1.893 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.893 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (sqrt 1) into 1 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.897 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.897 * [taylor]: Taking taylor expansion of re in re 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.897 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.897 * [backup-simplify]: Simplify im into im 1.897 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.898 * [backup-simplify]: Simplify (+ 1 0) into 1 1.898 * [backup-simplify]: Simplify (sqrt 1) into 1 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.901 * [taylor]: Taking taylor expansion of 1 in im 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of 0 in im 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.904 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.904 * [taylor]: Taking taylor expansion of 1/2 in im 1.904 * [backup-simplify]: Simplify 1/2 into 1/2 1.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.904 * [taylor]: Taking taylor expansion of im in im 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (* 1 1) into 1 1.905 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.910 * [taylor]: Taking taylor expansion of 0 in im 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.912 * * * [progress]: simplifying candidates 1.912 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 1.912 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 1.912 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 1.912 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 1.912 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 1.913 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 1.913 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 1.913 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 1.913 * * [simplify]: iters left: 6 (8 enodes) 1.917 * * [simplify]: iters left: 5 (26 enodes) 1.921 * * [simplify]: Extracting #0: cost 1 inf + 0 1.921 * * [simplify]: Extracting #1: cost 4 inf + 0 1.921 * * [simplify]: Extracting #2: cost 7 inf + 0 1.921 * * [simplify]: Extracting #3: cost 10 inf + 0 1.921 * * [simplify]: Extracting #4: cost 14 inf + 0 1.921 * * [simplify]: Extracting #5: cost 10 inf + 84 1.921 * * [simplify]: Extracting #6: cost 8 inf + 166 1.921 * * [simplify]: Extracting #7: cost 4 inf + 854 1.922 * * [simplify]: Extracting #8: cost 1 inf + 1540 1.922 * * [simplify]: Extracting #9: cost 0 inf + 1782 1.922 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 1.922 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 1.922 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 1.923 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 1.923 * * [simplify]: iters left: 6 (7 enodes) 1.924 * * [simplify]: iters left: 5 (22 enodes) 1.927 * * [simplify]: Extracting #0: cost 1 inf + 0 1.927 * * [simplify]: Extracting #1: cost 3 inf + 0 1.927 * * [simplify]: Extracting #2: cost 5 inf + 0 1.927 * * [simplify]: Extracting #3: cost 8 inf + 0 1.927 * * [simplify]: Extracting #4: cost 12 inf + 0 1.927 * * [simplify]: Extracting #5: cost 10 inf + 2 1.927 * * [simplify]: Extracting #6: cost 1 inf + 936 1.928 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.928 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 1.928 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 1.928 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 1.928 * [simplify]: Simplifying (sqrt 1) 1.928 * * [simplify]: iters left: 1 (2 enodes) 1.930 * * [simplify]: Extracting #0: cost 1 inf + 0 1.930 * * [simplify]: Extracting #1: cost 0 inf + 1 1.930 * [simplify]: Simplified to 1 1.930 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 1.930 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 1.931 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 1.931 * * [simplify]: iters left: 6 (9 enodes) 1.933 * * [simplify]: iters left: 5 (45 enodes) 1.947 * * [simplify]: iters left: 4 (100 enodes) 1.981 * * [simplify]: iters left: 3 (201 enodes) 2.062 * * [simplify]: iters left: 2 (406 enodes) 2.208 * * [simplify]: Extracting #0: cost 1 inf + 0 2.208 * * [simplify]: Extracting #1: cost 3 inf + 0 2.208 * * [simplify]: Extracting #2: cost 6 inf + 0 2.208 * * [simplify]: Extracting #3: cost 62 inf + 0 2.209 * * [simplify]: Extracting #4: cost 166 inf + 460 2.212 * * [simplify]: Extracting #5: cost 131 inf + 12951 2.220 * * [simplify]: Extracting #6: cost 49 inf + 45746 2.231 * * [simplify]: Extracting #7: cost 1 inf + 66256 2.242 * * [simplify]: Extracting #8: cost 0 inf + 65919 2.253 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 2.253 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 2.254 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 2.254 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 2.254 * * [simplify]: iters left: 6 (8 enodes) 2.259 * * [simplify]: iters left: 5 (37 enodes) 2.274 * * [simplify]: iters left: 4 (67 enodes) 2.294 * * [simplify]: iters left: 3 (123 enodes) 2.321 * * [simplify]: iters left: 2 (278 enodes) 2.497 * * [simplify]: Extracting #0: cost 1 inf + 0 2.497 * * [simplify]: Extracting #1: cost 3 inf + 0 2.497 * * [simplify]: Extracting #2: cost 50 inf + 0 2.498 * * [simplify]: Extracting #3: cost 150 inf + 0 2.500 * * [simplify]: Extracting #4: cost 194 inf + 1180 2.509 * * [simplify]: Extracting #5: cost 123 inf + 12421 2.521 * * [simplify]: Extracting #6: cost 12 inf + 33804 2.537 * * [simplify]: Extracting #7: cost 0 inf + 36129 2.549 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 2.549 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))) 2.549 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 2.549 * [simplify]: Simplifying (+ (* re re) (* im im)) 2.549 * * [simplify]: iters left: 4 (5 enodes) 2.550 * * [simplify]: iters left: 3 (16 enodes) 2.553 * * [simplify]: Extracting #0: cost 1 inf + 0 2.553 * * [simplify]: Extracting #1: cost 4 inf + 0 2.553 * * [simplify]: Extracting #2: cost 8 inf + 0 2.553 * * [simplify]: Extracting #3: cost 4 inf + 84 2.553 * * [simplify]: Extracting #4: cost 0 inf + 410 2.553 * [simplify]: Simplified to (+ (* re re) (* im im)) 2.553 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))) 2.553 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 2.553 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 2.553 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 2.553 * * [simplify]: iters left: 5 (6 enodes) 2.555 * * [simplify]: iters left: 4 (19 enodes) 2.557 * * [simplify]: Extracting #0: cost 1 inf + 0 2.557 * * [simplify]: Extracting #1: cost 3 inf + 0 2.557 * * [simplify]: Extracting #2: cost 6 inf + 0 2.557 * * [simplify]: Extracting #3: cost 10 inf + 0 2.557 * * [simplify]: Extracting #4: cost 6 inf + 84 2.557 * * [simplify]: Extracting #5: cost 0 inf + 734 2.557 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 2.557 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re))))) 2.557 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 2.557 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 2.558 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 2.558 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 2.558 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 2.558 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 2.558 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 2.558 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 2.558 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 2.558 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 2.558 * * [simplify]: iters left: 6 (8 enodes) 2.560 * * [simplify]: iters left: 5 (26 enodes) 2.563 * * [simplify]: Extracting #0: cost 1 inf + 0 2.563 * * [simplify]: Extracting #1: cost 4 inf + 0 2.563 * * [simplify]: Extracting #2: cost 7 inf + 0 2.563 * * [simplify]: Extracting #3: cost 10 inf + 0 2.563 * * [simplify]: Extracting #4: cost 14 inf + 0 2.563 * * [simplify]: Extracting #5: cost 10 inf + 84 2.563 * * [simplify]: Extracting #6: cost 8 inf + 166 2.563 * * [simplify]: Extracting #7: cost 4 inf + 854 2.564 * * [simplify]: Extracting #8: cost 1 inf + 1540 2.564 * * [simplify]: Extracting #9: cost 0 inf + 1782 2.564 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 2.564 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.564 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 2.565 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 2.565 * * [simplify]: iters left: 6 (7 enodes) 2.566 * * [simplify]: iters left: 5 (22 enodes) 2.569 * * [simplify]: Extracting #0: cost 1 inf + 0 2.569 * * [simplify]: Extracting #1: cost 3 inf + 0 2.569 * * [simplify]: Extracting #2: cost 5 inf + 0 2.569 * * [simplify]: Extracting #3: cost 8 inf + 0 2.569 * * [simplify]: Extracting #4: cost 12 inf + 0 2.569 * * [simplify]: Extracting #5: cost 10 inf + 2 2.569 * * [simplify]: Extracting #6: cost 1 inf + 936 2.569 * * [simplify]: Extracting #7: cost 0 inf + 1138 2.570 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 2.570 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.570 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 2.570 * [simplify]: Simplifying (sqrt 1) 2.570 * * [simplify]: iters left: 1 (2 enodes) 2.572 * * [simplify]: Extracting #0: cost 1 inf + 0 2.572 * * [simplify]: Extracting #1: cost 0 inf + 1 2.572 * [simplify]: Simplified to 1 2.572 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.572 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 2.572 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 2.572 * * [simplify]: iters left: 6 (9 enodes) 2.575 * * [simplify]: iters left: 5 (45 enodes) 2.585 * * [simplify]: iters left: 4 (100 enodes) 2.614 * * [simplify]: iters left: 3 (201 enodes) 2.662 * * [simplify]: iters left: 2 (406 enodes) 2.802 * * [simplify]: Extracting #0: cost 1 inf + 0 2.802 * * [simplify]: Extracting #1: cost 3 inf + 0 2.802 * * [simplify]: Extracting #2: cost 6 inf + 0 2.802 * * [simplify]: Extracting #3: cost 62 inf + 0 2.802 * * [simplify]: Extracting #4: cost 166 inf + 460 2.804 * * [simplify]: Extracting #5: cost 131 inf + 12951 2.809 * * [simplify]: Extracting #6: cost 49 inf + 45746 2.818 * * [simplify]: Extracting #7: cost 1 inf + 66256 2.827 * * [simplify]: Extracting #8: cost 0 inf + 65919 2.837 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 2.837 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 2.837 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 2.838 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 2.838 * * [simplify]: iters left: 6 (8 enodes) 2.840 * * [simplify]: iters left: 5 (37 enodes) 2.846 * * [simplify]: iters left: 4 (67 enodes) 2.860 * * [simplify]: iters left: 3 (123 enodes) 2.904 * * [simplify]: iters left: 2 (278 enodes) 3.054 * * [simplify]: Extracting #0: cost 1 inf + 0 3.054 * * [simplify]: Extracting #1: cost 3 inf + 0 3.054 * * [simplify]: Extracting #2: cost 50 inf + 0 3.055 * * [simplify]: Extracting #3: cost 150 inf + 0 3.055 * * [simplify]: Extracting #4: cost 194 inf + 1180 3.058 * * [simplify]: Extracting #5: cost 123 inf + 12421 3.065 * * [simplify]: Extracting #6: cost 12 inf + 33804 3.080 * * [simplify]: Extracting #7: cost 0 inf + 36129 3.094 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 3.094 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 3.094 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 3.095 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.095 * * [simplify]: iters left: 4 (5 enodes) 3.096 * * [simplify]: iters left: 3 (16 enodes) 3.099 * * [simplify]: Extracting #0: cost 1 inf + 0 3.099 * * [simplify]: Extracting #1: cost 4 inf + 0 3.099 * * [simplify]: Extracting #2: cost 8 inf + 0 3.099 * * [simplify]: Extracting #3: cost 4 inf + 84 3.099 * * [simplify]: Extracting #4: cost 0 inf + 410 3.099 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.099 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 3.099 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 3.099 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 3.100 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.100 * * [simplify]: iters left: 5 (6 enodes) 3.102 * * [simplify]: iters left: 4 (19 enodes) 3.107 * * [simplify]: Extracting #0: cost 1 inf + 0 3.107 * * [simplify]: Extracting #1: cost 3 inf + 0 3.107 * * [simplify]: Extracting #2: cost 6 inf + 0 3.107 * * [simplify]: Extracting #3: cost 10 inf + 0 3.107 * * [simplify]: Extracting #4: cost 6 inf + 84 3.107 * * [simplify]: Extracting #5: cost 0 inf + 734 3.107 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.107 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 3.108 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 3.108 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 3.108 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 3.108 * [simplify]: Simplifying (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) 3.108 * * [simplify]: iters left: 6 (11 enodes) 3.112 * * [simplify]: iters left: 5 (36 enodes) 3.120 * * [simplify]: iters left: 4 (47 enodes) 3.127 * * [simplify]: iters left: 3 (65 enodes) 3.138 * * [simplify]: iters left: 2 (102 enodes) 3.166 * * [simplify]: iters left: 1 (197 enodes) 3.226 * * [simplify]: Extracting #0: cost 1 inf + 0 3.226 * * [simplify]: Extracting #1: cost 38 inf + 0 3.226 * * [simplify]: Extracting #2: cost 116 inf + 0 3.227 * * [simplify]: Extracting #3: cost 145 inf + 45 3.227 * * [simplify]: Extracting #4: cost 145 inf + 564 3.228 * * [simplify]: Extracting #5: cost 147 inf + 605 3.229 * * [simplify]: Extracting #6: cost 138 inf + 1529 3.230 * * [simplify]: Extracting #7: cost 129 inf + 3739 3.232 * * [simplify]: Extracting #8: cost 101 inf + 14019 3.239 * * [simplify]: Extracting #9: cost 45 inf + 51111 3.252 * * [simplify]: Extracting #10: cost 3 inf + 87644 3.279 * * [simplify]: Extracting #11: cost 0 inf + 89298 3.306 * * [simplify]: Extracting #12: cost 0 inf + 89257 3.329 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 3.329 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 3.329 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 3.330 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.330 * * [simplify]: iters left: 6 (9 enodes) 3.332 * * [simplify]: iters left: 5 (29 enodes) 3.336 * * [simplify]: Extracting #0: cost 1 inf + 0 3.336 * * [simplify]: Extracting #1: cost 4 inf + 0 3.336 * * [simplify]: Extracting #2: cost 8 inf + 0 3.336 * * [simplify]: Extracting #3: cost 9 inf + 1 3.336 * * [simplify]: Extracting #4: cost 11 inf + 42 3.336 * * [simplify]: Extracting #5: cost 12 inf + 124 3.336 * * [simplify]: Extracting #6: cost 8 inf + 248 3.336 * * [simplify]: Extracting #7: cost 5 inf + 654 3.336 * * [simplify]: Extracting #8: cost 2 inf + 1300 3.337 * * [simplify]: Extracting #9: cost 0 inf + 1784 3.337 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 3.337 * [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 (+ (* re re) (* im im)))) (sqrt re))))))) 3.337 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.338 * * [simplify]: iters left: 6 (9 enodes) 3.339 * * [simplify]: iters left: 5 (30 enodes) 3.343 * * [simplify]: iters left: 4 (33 enodes) 3.347 * * [simplify]: Extracting #0: cost 1 inf + 0 3.347 * * [simplify]: Extracting #1: cost 5 inf + 0 3.347 * * [simplify]: Extracting #2: cost 10 inf + 0 3.347 * * [simplify]: Extracting #3: cost 11 inf + 1 3.348 * * [simplify]: Extracting #4: cost 10 inf + 245 3.348 * * [simplify]: Extracting #5: cost 12 inf + 286 3.348 * * [simplify]: Extracting #6: cost 8 inf + 410 3.348 * * [simplify]: Extracting #7: cost 6 inf + 694 3.348 * * [simplify]: Extracting #8: cost 1 inf + 1744 3.349 * * [simplify]: Extracting #9: cost 0 inf + 1946 3.349 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 3.349 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 3.349 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 3.349 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 3.349 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 3.349 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.349 * * [simplify]: iters left: 5 (6 enodes) 3.351 * * [simplify]: iters left: 4 (19 enodes) 3.353 * * [simplify]: Extracting #0: cost 1 inf + 0 3.353 * * [simplify]: Extracting #1: cost 3 inf + 0 3.353 * * [simplify]: Extracting #2: cost 6 inf + 0 3.353 * * [simplify]: Extracting #3: cost 10 inf + 0 3.353 * * [simplify]: Extracting #4: cost 6 inf + 84 3.353 * * [simplify]: Extracting #5: cost 0 inf + 734 3.354 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.354 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 1/2)) re))))) 3.354 * [simplify]: Simplifying (+ 1/2 1/2) 3.354 * * [simplify]: iters left: 2 (2 enodes) 3.356 * * [simplify]: iters left: 1 (7 enodes) 3.357 * * [simplify]: Extracting #0: cost 1 inf + 0 3.357 * * [simplify]: Extracting #1: cost 0 inf + 1 3.357 * [simplify]: Simplified to 1 3.357 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.358 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 3.358 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.358 * * [simplify]: iters left: 5 (6 enodes) 3.360 * * [simplify]: iters left: 4 (19 enodes) 3.365 * * [simplify]: Extracting #0: cost 1 inf + 0 3.365 * * [simplify]: Extracting #1: cost 3 inf + 0 3.365 * * [simplify]: Extracting #2: cost 6 inf + 0 3.365 * * [simplify]: Extracting #3: cost 10 inf + 0 3.365 * * [simplify]: Extracting #4: cost 6 inf + 84 3.366 * * [simplify]: Extracting #5: cost 0 inf + 734 3.366 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.366 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 (/ 1 2))) re))))) 3.366 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 3.366 * * [simplify]: iters left: 4 (5 enodes) 3.372 * * [simplify]: iters left: 3 (18 enodes) 3.378 * * [simplify]: iters left: 2 (20 enodes) 3.381 * * [simplify]: Extracting #0: cost 1 inf + 0 3.381 * * [simplify]: Extracting #1: cost 0 inf + 1 3.381 * [simplify]: Simplified to 1 3.381 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.381 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 3.381 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.381 * * [simplify]: iters left: 6 (7 enodes) 3.383 * * [simplify]: iters left: 5 (22 enodes) 3.386 * * [simplify]: Extracting #0: cost 1 inf + 0 3.386 * * [simplify]: Extracting #1: cost 3 inf + 0 3.386 * * [simplify]: Extracting #2: cost 5 inf + 0 3.386 * * [simplify]: Extracting #3: cost 8 inf + 0 3.386 * * [simplify]: Extracting #4: cost 12 inf + 0 3.386 * * [simplify]: Extracting #5: cost 10 inf + 2 3.386 * * [simplify]: Extracting #6: cost 1 inf + 936 3.387 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.387 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.387 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 3.387 * [simplify]: Simplifying (+ 1 1) 3.387 * * [simplify]: iters left: 2 (2 enodes) 3.389 * * [simplify]: iters left: 1 (9 enodes) 3.391 * * [simplify]: Extracting #0: cost 1 inf + 0 3.391 * * [simplify]: Extracting #1: cost 0 inf + 1 3.391 * [simplify]: Simplified to 2 3.391 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 3.391 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 3.391 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.391 * * [simplify]: iters left: 4 (5 enodes) 3.392 * * [simplify]: iters left: 3 (16 enodes) 3.394 * * [simplify]: Extracting #0: cost 1 inf + 0 3.394 * * [simplify]: Extracting #1: cost 4 inf + 0 3.394 * * [simplify]: Extracting #2: cost 8 inf + 0 3.395 * * [simplify]: Extracting #3: cost 4 inf + 84 3.395 * * [simplify]: Extracting #4: cost 0 inf + 410 3.395 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.395 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ 1/2 2))) re))))) 3.395 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1/2 2)) 3.395 * * [simplify]: iters left: 4 (4 enodes) 3.398 * * [simplify]: iters left: 3 (13 enodes) 3.400 * * [simplify]: Extracting #0: cost 1 inf + 0 3.400 * * [simplify]: Extracting #1: cost 0 inf + 1 3.400 * [simplify]: Simplified to 1/2 3.400 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.400 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 3.400 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.400 * * [simplify]: iters left: 4 (5 enodes) 3.401 * * [simplify]: iters left: 3 (16 enodes) 3.403 * * [simplify]: Extracting #0: cost 1 inf + 0 3.403 * * [simplify]: Extracting #1: cost 4 inf + 0 3.403 * * [simplify]: Extracting #2: cost 8 inf + 0 3.403 * * [simplify]: Extracting #3: cost 4 inf + 84 3.404 * * [simplify]: Extracting #4: cost 0 inf + 410 3.404 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.404 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) re))))) 3.404 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 3.404 * * [simplify]: iters left: 6 (7 enodes) 3.408 * * [simplify]: iters left: 5 (28 enodes) 3.415 * * [simplify]: iters left: 4 (32 enodes) 3.419 * * [simplify]: Extracting #0: cost 1 inf + 0 3.420 * * [simplify]: Extracting #1: cost 0 inf + 1 3.420 * [simplify]: Simplified to 1/2 3.420 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.420 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 3.420 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.420 * * [simplify]: iters left: 5 (6 enodes) 3.421 * * [simplify]: iters left: 4 (19 enodes) 3.424 * * [simplify]: Extracting #0: cost 1 inf + 0 3.424 * * [simplify]: Extracting #1: cost 3 inf + 0 3.424 * * [simplify]: Extracting #2: cost 6 inf + 0 3.424 * * [simplify]: Extracting #3: cost 10 inf + 0 3.424 * * [simplify]: Extracting #4: cost 6 inf + 84 3.424 * * [simplify]: Extracting #5: cost 0 inf + 734 3.424 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.424 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) 1/2)) re))))) 3.424 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 3.424 * * [simplify]: iters left: 4 (5 enodes) 3.428 * * [simplify]: iters left: 3 (18 enodes) 3.431 * * [simplify]: iters left: 2 (20 enodes) 3.434 * * [simplify]: Extracting #0: cost 1 inf + 0 3.434 * * [simplify]: Extracting #1: cost 0 inf + 1 3.434 * [simplify]: Simplified to 1 3.434 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.434 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 3.434 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 3.434 * * [simplify]: iters left: 5 (6 enodes) 3.437 * * [simplify]: iters left: 4 (19 enodes) 3.441 * * [simplify]: Extracting #0: cost 1 inf + 0 3.441 * * [simplify]: Extracting #1: cost 3 inf + 0 3.441 * * [simplify]: Extracting #2: cost 6 inf + 0 3.441 * * [simplify]: Extracting #3: cost 10 inf + 0 3.442 * * [simplify]: Extracting #4: cost 6 inf + 84 3.442 * * [simplify]: Extracting #5: cost 0 inf + 734 3.442 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.442 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) (/ 1 2))) re))))) 3.442 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 3.442 * * [simplify]: iters left: 4 (4 enodes) 3.445 * * [simplify]: iters left: 3 (15 enodes) 3.447 * * [simplify]: iters left: 2 (17 enodes) 3.450 * * [simplify]: Extracting #0: cost 1 inf + 0 3.450 * * [simplify]: Extracting #1: cost 0 inf + 1 3.450 * [simplify]: Simplified to 1 3.450 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.450 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 3.450 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.450 * * [simplify]: iters left: 4 (5 enodes) 3.451 * * [simplify]: iters left: 3 (16 enodes) 3.453 * * [simplify]: Extracting #0: cost 1 inf + 0 3.453 * * [simplify]: Extracting #1: cost 4 inf + 0 3.453 * * [simplify]: Extracting #2: cost 8 inf + 0 3.453 * * [simplify]: Extracting #3: cost 4 inf + 84 3.454 * * [simplify]: Extracting #4: cost 0 inf + 410 3.454 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.454 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) re))))) 3.454 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 3.454 * * [simplify]: iters left: 6 (7 enodes) 3.459 * * [simplify]: iters left: 5 (28 enodes) 3.464 * * [simplify]: iters left: 4 (32 enodes) 3.468 * * [simplify]: Extracting #0: cost 1 inf + 0 3.469 * * [simplify]: Extracting #1: cost 0 inf + 1 3.469 * [simplify]: Simplified to 1/2 3.469 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.469 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 3.469 * [simplify]: Simplifying (+ (* re re) (* im im)) 3.469 * * [simplify]: iters left: 4 (5 enodes) 3.470 * * [simplify]: iters left: 3 (16 enodes) 3.472 * * [simplify]: Extracting #0: cost 1 inf + 0 3.472 * * [simplify]: Extracting #1: cost 4 inf + 0 3.472 * * [simplify]: Extracting #2: cost 8 inf + 0 3.472 * * [simplify]: Extracting #3: cost 4 inf + 84 3.472 * * [simplify]: Extracting #4: cost 0 inf + 410 3.473 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.473 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) re))))) 3.473 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 3.473 * * [simplify]: iters left: 6 (5 enodes) 3.476 * * [simplify]: iters left: 5 (22 enodes) 3.481 * * [simplify]: iters left: 4 (26 enodes) 3.485 * * [simplify]: Extracting #0: cost 1 inf + 0 3.485 * * [simplify]: Extracting #1: cost 0 inf + 1 3.486 * [simplify]: Simplified to 1/2 3.486 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.486 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 3.486 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 3.486 * * [simplify]: iters left: 6 (7 enodes) 3.488 * * [simplify]: iters left: 5 (20 enodes) 3.490 * * [simplify]: iters left: 4 (21 enodes) 3.493 * * [simplify]: Extracting #0: cost 1 inf + 0 3.494 * * [simplify]: Extracting #1: cost 5 inf + 0 3.494 * * [simplify]: Extracting #2: cost 10 inf + 0 3.494 * * [simplify]: Extracting #3: cost 6 inf + 84 3.494 * * [simplify]: Extracting #4: cost 2 inf + 410 3.494 * * [simplify]: Extracting #5: cost 0 inf + 734 3.494 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.494 * [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))))) 3.494 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 3.495 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3.495 * * [simplify]: iters left: 6 (8 enodes) 3.497 * * [simplify]: iters left: 5 (23 enodes) 3.500 * * [simplify]: iters left: 4 (24 enodes) 3.503 * * [simplify]: Extracting #0: cost 1 inf + 0 3.503 * * [simplify]: Extracting #1: cost 4 inf + 0 3.503 * * [simplify]: Extracting #2: cost 8 inf + 0 3.503 * * [simplify]: Extracting #3: cost 12 inf + 0 3.503 * * [simplify]: Extracting #4: cost 10 inf + 2 3.503 * * [simplify]: Extracting #5: cost 3 inf + 572 3.505 * * [simplify]: Extracting #6: cost 0 inf + 1138 3.505 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 3.506 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 3.506 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 3.506 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 3.506 * * [simplify]: iters left: 6 (6 enodes) 3.508 * * [simplify]: iters left: 5 (25 enodes) 3.512 * * [simplify]: iters left: 4 (55 enodes) 3.526 * * [simplify]: iters left: 3 (127 enodes) 3.569 * * [simplify]: iters left: 2 (201 enodes) 3.610 * * [simplify]: iters left: 1 (287 enodes) 3.672 * * [simplify]: Extracting #0: cost 1 inf + 0 3.672 * * [simplify]: Extracting #1: cost 11 inf + 0 3.672 * * [simplify]: Extracting #2: cost 47 inf + 0 3.672 * * [simplify]: Extracting #3: cost 69 inf + 328 3.673 * * [simplify]: Extracting #4: cost 43 inf + 4414 3.676 * * [simplify]: Extracting #5: cost 1 inf + 11002 3.678 * * [simplify]: Extracting #6: cost 0 inf + 11044 3.683 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 3.683 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ 1/2 2)) re))))) 3.683 * [simplify]: Simplifying (/ 1/2 2) 3.684 * * [simplify]: iters left: 2 (3 enodes) 3.686 * * [simplify]: iters left: 1 (10 enodes) 3.689 * * [simplify]: Extracting #0: cost 1 inf + 0 3.689 * * [simplify]: Extracting #1: cost 0 inf + 1 3.689 * [simplify]: Simplified to 1/4 3.689 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 3.689 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 3.689 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 3.690 * * [simplify]: iters left: 6 (7 enodes) 3.693 * * [simplify]: iters left: 5 (20 enodes) 3.698 * * [simplify]: iters left: 4 (21 enodes) 3.703 * * [simplify]: Extracting #0: cost 1 inf + 0 3.703 * * [simplify]: Extracting #1: cost 5 inf + 0 3.703 * * [simplify]: Extracting #2: cost 10 inf + 0 3.703 * * [simplify]: Extracting #3: cost 6 inf + 84 3.704 * * [simplify]: Extracting #4: cost 2 inf + 410 3.704 * * [simplify]: Extracting #5: cost 0 inf + 734 3.704 * [simplify]: Simplified to (+ (* re re) (* im im)) 3.704 * [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))))) 3.705 * [simplify]: Simplifying (/ 1 2) 3.705 * * [simplify]: iters left: 2 (3 enodes) 3.708 * * [simplify]: iters left: 1 (12 enodes) 3.712 * * [simplify]: Extracting #0: cost 1 inf + 0 3.712 * * [simplify]: Extracting #1: cost 0 inf + 1 3.712 * [simplify]: Simplified to 1/2 3.713 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 3.713 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 3.713 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 3.714 * * [simplify]: iters left: 6 (6 enodes) 3.716 * * [simplify]: iters left: 5 (25 enodes) 3.726 * * [simplify]: iters left: 4 (55 enodes) 3.741 * * [simplify]: iters left: 3 (127 enodes) 3.762 * * [simplify]: iters left: 2 (201 enodes) 3.803 * * [simplify]: iters left: 1 (287 enodes) 3.860 * * [simplify]: Extracting #0: cost 1 inf + 0 3.860 * * [simplify]: Extracting #1: cost 11 inf + 0 3.860 * * [simplify]: Extracting #2: cost 47 inf + 0 3.861 * * [simplify]: Extracting #3: cost 69 inf + 328 3.861 * * [simplify]: Extracting #4: cost 43 inf + 4414 3.864 * * [simplify]: Extracting #5: cost 1 inf + 11002 3.867 * * [simplify]: Extracting #6: cost 0 inf + 11044 3.872 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 3.872 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ (/ 1 2) 2)) re))))) 3.873 * [simplify]: Simplifying (/ (/ 1 2) 2) 3.873 * * [simplify]: iters left: 4 (4 enodes) 3.876 * * [simplify]: iters left: 3 (19 enodes) 3.879 * * [simplify]: iters left: 2 (23 enodes) 3.882 * * [simplify]: Extracting #0: cost 1 inf + 0 3.883 * * [simplify]: Extracting #1: cost 0 inf + 1 3.883 * [simplify]: Simplified to 1/4 3.883 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 3.883 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 3.883 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 3.883 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.883 * * [simplify]: iters left: 6 (7 enodes) 3.884 * * [simplify]: iters left: 5 (22 enodes) 3.888 * * [simplify]: Extracting #0: cost 1 inf + 0 3.888 * * [simplify]: Extracting #1: cost 3 inf + 0 3.888 * * [simplify]: Extracting #2: cost 5 inf + 0 3.888 * * [simplify]: Extracting #3: cost 8 inf + 0 3.888 * * [simplify]: Extracting #4: cost 12 inf + 0 3.888 * * [simplify]: Extracting #5: cost 10 inf + 2 3.888 * * [simplify]: Extracting #6: cost 1 inf + 936 3.889 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.889 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.889 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 3.889 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 3.889 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 3.890 * [simplify]: Simplifying (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 3.890 * * [simplify]: iters left: 6 (9 enodes) 3.893 * * [simplify]: iters left: 5 (28 enodes) 3.899 * * [simplify]: Extracting #0: cost 1 inf + 0 3.899 * * [simplify]: Extracting #1: cost 3 inf + 0 3.899 * * [simplify]: Extracting #2: cost 5 inf + 0 3.899 * * [simplify]: Extracting #3: cost 7 inf + 0 3.900 * * [simplify]: Extracting #4: cost 9 inf + 0 3.900 * * [simplify]: Extracting #5: cost 12 inf + 0 3.900 * * [simplify]: Extracting #6: cost 16 inf + 0 3.900 * * [simplify]: Extracting #7: cost 12 inf + 84 3.900 * * [simplify]: Extracting #8: cost 10 inf + 166 3.900 * * [simplify]: Extracting #9: cost 7 inf + 572 3.900 * * [simplify]: Extracting #10: cost 4 inf + 1208 3.901 * * [simplify]: Extracting #11: cost 1 inf + 1994 3.902 * * [simplify]: Extracting #12: cost 0 inf + 2306 3.902 * [simplify]: Simplified to (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 3.902 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 3.902 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 3.903 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 3.903 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 3.903 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) 3.903 * * [simplify]: iters left: 6 (10 enodes) 3.907 * * [simplify]: iters left: 5 (36 enodes) 3.918 * * [simplify]: iters left: 4 (47 enodes) 3.933 * * [simplify]: iters left: 3 (79 enodes) 3.966 * * [simplify]: iters left: 2 (165 enodes) 4.010 * * [simplify]: iters left: 1 (305 enodes) 4.090 * * [simplify]: Extracting #0: cost 1 inf + 0 4.090 * * [simplify]: Extracting #1: cost 24 inf + 0 4.090 * * [simplify]: Extracting #2: cost 109 inf + 3 4.091 * * [simplify]: Extracting #3: cost 127 inf + 1447 4.097 * * [simplify]: Extracting #4: cost 61 inf + 21575 4.106 * * [simplify]: Extracting #5: cost 10 inf + 46335 4.118 * * [simplify]: Extracting #6: cost 0 inf + 51476 4.132 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 4.132 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) re))))) 4.132 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 4.133 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 4.133 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 4.133 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 4.133 * * [simplify]: iters left: 6 (7 enodes) 4.136 * * [simplify]: iters left: 5 (20 enodes) 4.141 * * [simplify]: iters left: 4 (21 enodes) 4.146 * * [simplify]: Extracting #0: cost 1 inf + 0 4.146 * * [simplify]: Extracting #1: cost 5 inf + 0 4.146 * * [simplify]: Extracting #2: cost 10 inf + 0 4.146 * * [simplify]: Extracting #3: cost 6 inf + 84 4.146 * * [simplify]: Extracting #4: cost 2 inf + 410 4.146 * * [simplify]: Extracting #5: cost 0 inf + 734 4.147 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.147 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 4.147 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 4.147 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 4.147 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.147 * * [simplify]: iters left: 4 (5 enodes) 4.148 * * [simplify]: iters left: 3 (16 enodes) 4.150 * * [simplify]: Extracting #0: cost 1 inf + 0 4.150 * * [simplify]: Extracting #1: cost 4 inf + 0 4.150 * * [simplify]: Extracting #2: cost 8 inf + 0 4.150 * * [simplify]: Extracting #3: cost 4 inf + 84 4.151 * * [simplify]: Extracting #4: cost 0 inf + 410 4.151 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.151 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 4.151 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 4.151 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 4.151 * * [simplify]: iters left: 6 (11 enodes) 4.161 * * [simplify]: iters left: 5 (49 enodes) 4.182 * * [simplify]: iters left: 4 (105 enodes) 4.216 * * [simplify]: iters left: 3 (201 enodes) 4.262 * * [simplify]: iters left: 2 (396 enodes) 4.370 * * [simplify]: Extracting #0: cost 1 inf + 0 4.394 * * [simplify]: Extracting #1: cost 4 inf + 0 4.395 * * [simplify]: Extracting #2: cost 8 inf + 0 4.395 * * [simplify]: Extracting #3: cost 61 inf + 0 4.396 * * [simplify]: Extracting #4: cost 157 inf + 671 4.399 * * [simplify]: Extracting #5: cost 129 inf + 10255 4.406 * * [simplify]: Extracting #6: cost 39 inf + 44338 4.416 * * [simplify]: Extracting #7: cost 2 inf + 59267 4.427 * * [simplify]: Extracting #8: cost 0 inf + 60033 4.436 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 4.436 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 4.436 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 4.436 * * [simplify]: iters left: 6 (12 enodes) 4.439 * * [simplify]: iters left: 5 (56 enodes) 4.453 * * [simplify]: iters left: 4 (124 enodes) 4.497 * * [simplify]: iters left: 3 (239 enodes) 4.595 * * [simplify]: iters left: 2 (372 enodes) 4.748 * * [simplify]: Extracting #0: cost 1 inf + 0 4.748 * * [simplify]: Extracting #1: cost 4 inf + 0 4.749 * * [simplify]: Extracting #2: cost 24 inf + 0 4.749 * * [simplify]: Extracting #3: cost 150 inf + 0 4.751 * * [simplify]: Extracting #4: cost 210 inf + 1501 4.754 * * [simplify]: Extracting #5: cost 96 inf + 17493 4.760 * * [simplify]: Extracting #6: cost 7 inf + 34019 4.767 * * [simplify]: Extracting #7: cost 0 inf + 35684 4.778 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 4.778 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) re))))) 4.778 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 4.778 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 4.779 * * [simplify]: iters left: 6 (16 enodes) 4.788 * * [simplify]: iters left: 5 (78 enodes) 4.814 * * [simplify]: iters left: 4 (137 enodes) 4.848 * * [simplify]: iters left: 3 (269 enodes) 4.932 * * [simplify]: Extracting #0: cost 1 inf + 0 4.932 * * [simplify]: Extracting #1: cost 4 inf + 0 4.932 * * [simplify]: Extracting #2: cost 8 inf + 0 4.932 * * [simplify]: Extracting #3: cost 12 inf + 0 4.932 * * [simplify]: Extracting #4: cost 33 inf + 0 4.933 * * [simplify]: Extracting #5: cost 109 inf + 0 4.933 * * [simplify]: Extracting #6: cost 133 inf + 2842 4.936 * * [simplify]: Extracting #7: cost 55 inf + 17725 4.940 * * [simplify]: Extracting #8: cost 11 inf + 28713 4.945 * * [simplify]: Extracting #9: cost 2 inf + 31283 4.949 * * [simplify]: Extracting #10: cost 0 inf + 32038 4.956 * [simplify]: Simplified to (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) 4.956 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 4.957 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 4.957 * * [simplify]: iters left: 6 (15 enodes) 4.961 * * [simplify]: iters left: 5 (73 enodes) 4.976 * * [simplify]: iters left: 4 (150 enodes) 5.018 * * [simplify]: iters left: 3 (266 enodes) 5.104 * * [simplify]: iters left: 2 (413 enodes) 5.259 * * [simplify]: Extracting #0: cost 1 inf + 0 5.259 * * [simplify]: Extracting #1: cost 4 inf + 0 5.259 * * [simplify]: Extracting #2: cost 8 inf + 0 5.259 * * [simplify]: Extracting #3: cost 12 inf + 0 5.259 * * [simplify]: Extracting #4: cost 70 inf + 0 5.261 * * [simplify]: Extracting #5: cost 212 inf + 0 5.264 * * [simplify]: Extracting #6: cost 209 inf + 6579 5.281 * * [simplify]: Extracting #7: cost 60 inf + 31165 5.297 * * [simplify]: Extracting #8: cost 1 inf + 42945 5.314 * * [simplify]: Extracting #9: cost 0 inf + 43408 5.333 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) 5.333 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 5.333 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 5.334 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 5.334 * * [simplify]: iters left: 6 (16 enodes) 5.343 * * [simplify]: iters left: 5 (78 enodes) 5.366 * * [simplify]: iters left: 4 (137 enodes) 5.404 * * [simplify]: iters left: 3 (272 enodes) 5.467 * * [simplify]: Extracting #0: cost 1 inf + 0 5.467 * * [simplify]: Extracting #1: cost 4 inf + 0 5.467 * * [simplify]: Extracting #2: cost 8 inf + 0 5.467 * * [simplify]: Extracting #3: cost 12 inf + 0 5.467 * * [simplify]: Extracting #4: cost 33 inf + 0 5.467 * * [simplify]: Extracting #5: cost 109 inf + 0 5.468 * * [simplify]: Extracting #6: cost 133 inf + 1786 5.470 * * [simplify]: Extracting #7: cost 54 inf + 15909 5.477 * * [simplify]: Extracting #8: cost 26 inf + 23449 5.481 * * [simplify]: Extracting #9: cost 4 inf + 30699 5.486 * * [simplify]: Extracting #10: cost 0 inf + 32460 5.491 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 5.491 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 5.492 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 5.492 * * [simplify]: iters left: 6 (15 enodes) 5.496 * * [simplify]: iters left: 5 (73 enodes) 5.508 * * [simplify]: iters left: 4 (150 enodes) 5.559 * * [simplify]: iters left: 3 (267 enodes) 5.630 * * [simplify]: iters left: 2 (414 enodes) 5.767 * * [simplify]: Extracting #0: cost 1 inf + 0 5.767 * * [simplify]: Extracting #1: cost 4 inf + 0 5.767 * * [simplify]: Extracting #2: cost 8 inf + 0 5.767 * * [simplify]: Extracting #3: cost 12 inf + 0 5.767 * * [simplify]: Extracting #4: cost 70 inf + 0 5.768 * * [simplify]: Extracting #5: cost 212 inf + 0 5.772 * * [simplify]: Extracting #6: cost 218 inf + 6401 5.784 * * [simplify]: Extracting #7: cost 87 inf + 25379 5.801 * * [simplify]: Extracting #8: cost 3 inf + 42502 5.819 * * [simplify]: Extracting #9: cost 0 inf + 43168 5.837 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 5.837 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 5.838 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 5.838 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 5.838 * * [simplify]: iters left: 6 (10 enodes) 5.843 * * [simplify]: iters left: 5 (41 enodes) 5.857 * * [simplify]: iters left: 4 (72 enodes) 5.884 * * [simplify]: iters left: 3 (128 enodes) 5.911 * * [simplify]: iters left: 2 (283 enodes) 6.037 * * [simplify]: Extracting #0: cost 1 inf + 0 6.037 * * [simplify]: Extracting #1: cost 4 inf + 0 6.038 * * [simplify]: Extracting #2: cost 52 inf + 0 6.039 * * [simplify]: Extracting #3: cost 152 inf + 0 6.040 * * [simplify]: Extracting #4: cost 199 inf + 535 6.043 * * [simplify]: Extracting #5: cost 161 inf + 5103 6.060 * * [simplify]: Extracting #6: cost 30 inf + 30852 6.075 * * [simplify]: Extracting #7: cost 0 inf + 36613 6.091 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 6.091 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 6.092 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) 6.092 * * [simplify]: iters left: 6 (8 enodes) 6.096 * * [simplify]: iters left: 5 (27 enodes) 6.104 * * [simplify]: iters left: 4 (41 enodes) 6.115 * * [simplify]: iters left: 3 (58 enodes) 6.133 * * [simplify]: iters left: 2 (99 enodes) 6.169 * * [simplify]: iters left: 1 (182 enodes) 6.206 * * [simplify]: Extracting #0: cost 1 inf + 0 6.206 * * [simplify]: Extracting #1: cost 4 inf + 0 6.206 * * [simplify]: Extracting #2: cost 25 inf + 0 6.207 * * [simplify]: Extracting #3: cost 59 inf + 0 6.207 * * [simplify]: Extracting #4: cost 51 inf + 412 6.209 * * [simplify]: Extracting #5: cost 18 inf + 3835 6.212 * * [simplify]: Extracting #6: cost 1 inf + 6149 6.216 * * [simplify]: Extracting #7: cost 0 inf + 6351 6.220 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 6.220 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 6.220 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 6.220 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 6.221 * [simplify]: Simplifying (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 6.221 * * [simplify]: iters left: 6 (10 enodes) 6.225 * * [simplify]: iters left: 5 (35 enodes) 6.235 * * [simplify]: iters left: 4 (39 enodes) 6.248 * * [simplify]: iters left: 3 (50 enodes) 6.266 * * [simplify]: iters left: 2 (74 enodes) 6.293 * * [simplify]: iters left: 1 (122 enodes) 6.326 * * [simplify]: Extracting #0: cost 1 inf + 0 6.327 * * [simplify]: Extracting #1: cost 13 inf + 0 6.327 * * [simplify]: Extracting #2: cost 40 inf + 1 6.327 * * [simplify]: Extracting #3: cost 40 inf + 7 6.327 * * [simplify]: Extracting #4: cost 42 inf + 9 6.327 * * [simplify]: Extracting #5: cost 45 inf + 10 6.328 * * [simplify]: Extracting #6: cost 41 inf + 94 6.328 * * [simplify]: Extracting #7: cost 35 inf + 744 6.328 * * [simplify]: Extracting #8: cost 31 inf + 1752 6.330 * * [simplify]: Extracting #9: cost 12 inf + 11228 6.333 * * [simplify]: Extracting #10: cost 2 inf + 18297 6.336 * * [simplify]: Extracting #11: cost 0 inf + 19785 6.339 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.339 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.339 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.339 * * [simplify]: iters left: 6 (9 enodes) 6.341 * * [simplify]: iters left: 5 (28 enodes) 6.345 * * [simplify]: Extracting #0: cost 1 inf + 0 6.345 * * [simplify]: Extracting #1: cost 3 inf + 0 6.345 * * [simplify]: Extracting #2: cost 5 inf + 0 6.345 * * [simplify]: Extracting #3: cost 7 inf + 0 6.345 * * [simplify]: Extracting #4: cost 9 inf + 0 6.345 * * [simplify]: Extracting #5: cost 12 inf + 0 6.345 * * [simplify]: Extracting #6: cost 16 inf + 0 6.345 * * [simplify]: Extracting #7: cost 12 inf + 84 6.345 * * [simplify]: Extracting #8: cost 10 inf + 166 6.345 * * [simplify]: Extracting #9: cost 7 inf + 572 6.345 * * [simplify]: Extracting #10: cost 4 inf + 1218 6.346 * * [simplify]: Extracting #11: cost 1 inf + 2024 6.346 * * [simplify]: Extracting #12: cost 0 inf + 2346 6.346 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.346 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.347 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 6.347 * [simplify]: Simplifying (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 6.347 * * [simplify]: iters left: 6 (10 enodes) 6.349 * * [simplify]: iters left: 5 (30 enodes) 6.353 * * [simplify]: iters left: 4 (31 enodes) 6.356 * * [simplify]: Extracting #0: cost 1 inf + 0 6.356 * * [simplify]: Extracting #1: cost 4 inf + 0 6.356 * * [simplify]: Extracting #2: cost 7 inf + 0 6.357 * * [simplify]: Extracting #3: cost 9 inf + 0 6.357 * * [simplify]: Extracting #4: cost 12 inf + 0 6.357 * * [simplify]: Extracting #5: cost 16 inf + 0 6.357 * * [simplify]: Extracting #6: cost 12 inf + 84 6.357 * * [simplify]: Extracting #7: cost 10 inf + 166 6.357 * * [simplify]: Extracting #8: cost 8 inf + 450 6.357 * * [simplify]: Extracting #9: cost 3 inf + 1540 6.358 * * [simplify]: Extracting #10: cost 0 inf + 2346 6.358 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 6.358 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.358 * [simplify]: Simplifying (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 6.358 * * [simplify]: iters left: 6 (9 enodes) 6.360 * * [simplify]: iters left: 5 (26 enodes) 6.364 * * [simplify]: iters left: 4 (27 enodes) 6.367 * * [simplify]: Extracting #0: cost 1 inf + 0 6.367 * * [simplify]: Extracting #1: cost 4 inf + 0 6.367 * * [simplify]: Extracting #2: cost 7 inf + 0 6.367 * * [simplify]: Extracting #3: cost 10 inf + 0 6.367 * * [simplify]: Extracting #4: cost 14 inf + 0 6.367 * * [simplify]: Extracting #5: cost 10 inf + 84 6.367 * * [simplify]: Extracting #6: cost 8 inf + 166 6.367 * * [simplify]: Extracting #7: cost 5 inf + 572 6.367 * * [simplify]: Extracting #8: cost 2 inf + 1258 6.368 * * [simplify]: Extracting #9: cost 0 inf + 1782 6.368 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 6.368 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 6.368 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 6.368 * [simplify]: Simplifying (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 6.369 * * [simplify]: iters left: 6 (10 enodes) 6.371 * * [simplify]: iters left: 5 (30 enodes) 6.379 * * [simplify]: iters left: 4 (31 enodes) 6.387 * * [simplify]: Extracting #0: cost 1 inf + 0 6.387 * * [simplify]: Extracting #1: cost 5 inf + 0 6.387 * * [simplify]: Extracting #2: cost 9 inf + 0 6.387 * * [simplify]: Extracting #3: cost 12 inf + 0 6.387 * * [simplify]: Extracting #4: cost 16 inf + 0 6.388 * * [simplify]: Extracting #5: cost 12 inf + 84 6.388 * * [simplify]: Extracting #6: cost 10 inf + 166 6.388 * * [simplify]: Extracting #7: cost 7 inf + 732 6.389 * * [simplify]: Extracting #8: cost 2 inf + 1822 6.389 * * [simplify]: Extracting #9: cost 0 inf + 2346 6.390 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 6.390 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 6.391 * [simplify]: Simplifying (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 6.391 * * [simplify]: iters left: 6 (9 enodes) 6.395 * * [simplify]: iters left: 5 (26 enodes) 6.402 * * [simplify]: iters left: 4 (27 enodes) 6.411 * * [simplify]: Extracting #0: cost 1 inf + 0 6.411 * * [simplify]: Extracting #1: cost 4 inf + 0 6.411 * * [simplify]: Extracting #2: cost 7 inf + 0 6.411 * * [simplify]: Extracting #3: cost 10 inf + 0 6.412 * * [simplify]: Extracting #4: cost 14 inf + 0 6.412 * * [simplify]: Extracting #5: cost 10 inf + 84 6.412 * * [simplify]: Extracting #6: cost 8 inf + 166 6.412 * * [simplify]: Extracting #7: cost 5 inf + 612 6.413 * * [simplify]: Extracting #8: cost 2 inf + 1338 6.413 * * [simplify]: Extracting #9: cost 0 inf + 1862 6.414 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 6.414 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 6.414 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 6.414 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.415 * * [simplify]: iters left: 6 (9 enodes) 6.419 * * [simplify]: iters left: 5 (26 enodes) 6.424 * * [simplify]: iters left: 4 (27 enodes) 6.428 * * [simplify]: Extracting #0: cost 1 inf + 0 6.428 * * [simplify]: Extracting #1: cost 4 inf + 0 6.428 * * [simplify]: Extracting #2: cost 7 inf + 0 6.428 * * [simplify]: Extracting #3: cost 10 inf + 0 6.428 * * [simplify]: Extracting #4: cost 14 inf + 0 6.428 * * [simplify]: Extracting #5: cost 10 inf + 84 6.428 * * [simplify]: Extracting #6: cost 8 inf + 166 6.428 * * [simplify]: Extracting #7: cost 5 inf + 572 6.428 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.429 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.429 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.429 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.429 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.429 * * [simplify]: iters left: 6 (9 enodes) 6.431 * * [simplify]: iters left: 5 (26 enodes) 6.434 * * [simplify]: iters left: 4 (27 enodes) 6.438 * * [simplify]: Extracting #0: cost 1 inf + 0 6.438 * * [simplify]: Extracting #1: cost 4 inf + 0 6.438 * * [simplify]: Extracting #2: cost 7 inf + 0 6.438 * * [simplify]: Extracting #3: cost 10 inf + 0 6.438 * * [simplify]: Extracting #4: cost 14 inf + 0 6.438 * * [simplify]: Extracting #5: cost 10 inf + 84 6.438 * * [simplify]: Extracting #6: cost 8 inf + 166 6.438 * * [simplify]: Extracting #7: cost 5 inf + 572 6.439 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.439 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.439 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.439 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.439 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 6.440 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.440 * * [simplify]: iters left: 6 (9 enodes) 6.441 * * [simplify]: iters left: 5 (26 enodes) 6.445 * * [simplify]: iters left: 4 (27 enodes) 6.449 * * [simplify]: Extracting #0: cost 1 inf + 0 6.449 * * [simplify]: Extracting #1: cost 4 inf + 0 6.449 * * [simplify]: Extracting #2: cost 7 inf + 0 6.449 * * [simplify]: Extracting #3: cost 10 inf + 0 6.449 * * [simplify]: Extracting #4: cost 14 inf + 0 6.449 * * [simplify]: Extracting #5: cost 10 inf + 84 6.449 * * [simplify]: Extracting #6: cost 8 inf + 166 6.449 * * [simplify]: Extracting #7: cost 5 inf + 572 6.449 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.449 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.450 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.450 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.450 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.450 * * [simplify]: iters left: 6 (9 enodes) 6.454 * * [simplify]: iters left: 5 (26 enodes) 6.461 * * [simplify]: iters left: 4 (27 enodes) 6.467 * * [simplify]: Extracting #0: cost 1 inf + 0 6.467 * * [simplify]: Extracting #1: cost 4 inf + 0 6.467 * * [simplify]: Extracting #2: cost 7 inf + 0 6.467 * * [simplify]: Extracting #3: cost 10 inf + 0 6.467 * * [simplify]: Extracting #4: cost 14 inf + 0 6.467 * * [simplify]: Extracting #5: cost 10 inf + 84 6.468 * * [simplify]: Extracting #6: cost 8 inf + 166 6.468 * * [simplify]: Extracting #7: cost 5 inf + 572 6.468 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.468 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.468 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.469 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.469 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 6.469 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.469 * * [simplify]: iters left: 6 (9 enodes) 6.471 * * [simplify]: iters left: 5 (26 enodes) 6.474 * * [simplify]: iters left: 4 (27 enodes) 6.477 * * [simplify]: Extracting #0: cost 1 inf + 0 6.477 * * [simplify]: Extracting #1: cost 4 inf + 0 6.478 * * [simplify]: Extracting #2: cost 7 inf + 0 6.478 * * [simplify]: Extracting #3: cost 10 inf + 0 6.478 * * [simplify]: Extracting #4: cost 14 inf + 0 6.478 * * [simplify]: Extracting #5: cost 10 inf + 84 6.478 * * [simplify]: Extracting #6: cost 8 inf + 166 6.478 * * [simplify]: Extracting #7: cost 5 inf + 572 6.478 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.478 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.479 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.479 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.479 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.479 * * [simplify]: iters left: 6 (9 enodes) 6.481 * * [simplify]: iters left: 5 (26 enodes) 6.484 * * [simplify]: iters left: 4 (27 enodes) 6.488 * * [simplify]: Extracting #0: cost 1 inf + 0 6.488 * * [simplify]: Extracting #1: cost 4 inf + 0 6.488 * * [simplify]: Extracting #2: cost 7 inf + 0 6.488 * * [simplify]: Extracting #3: cost 10 inf + 0 6.488 * * [simplify]: Extracting #4: cost 14 inf + 0 6.488 * * [simplify]: Extracting #5: cost 10 inf + 84 6.488 * * [simplify]: Extracting #6: cost 8 inf + 166 6.488 * * [simplify]: Extracting #7: cost 5 inf + 572 6.488 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.488 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.489 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.489 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.489 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 6.489 * [simplify]: Simplifying (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) 6.489 * * [simplify]: iters left: 4 (4 enodes) 6.494 * * [simplify]: iters left: 3 (12 enodes) 6.496 * * [simplify]: iters left: 2 (14 enodes) 6.499 * * [simplify]: Extracting #0: cost 1 inf + 0 6.500 * * [simplify]: Extracting #1: cost 0 inf + 1 6.500 * [simplify]: Simplified to 1 6.500 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 6.500 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 6.500 * * [simplify]: iters left: 6 (8 enodes) 6.504 * * [simplify]: iters left: 5 (23 enodes) 6.512 * * [simplify]: iters left: 4 (24 enodes) 6.518 * * [simplify]: Extracting #0: cost 1 inf + 0 6.518 * * [simplify]: Extracting #1: cost 4 inf + 0 6.518 * * [simplify]: Extracting #2: cost 8 inf + 0 6.518 * * [simplify]: Extracting #3: cost 12 inf + 0 6.518 * * [simplify]: Extracting #4: cost 10 inf + 2 6.518 * * [simplify]: Extracting #5: cost 3 inf + 572 6.519 * * [simplify]: Extracting #6: cost 0 inf + 1138 6.519 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 6.520 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 6.520 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 6.520 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.520 * * [simplify]: iters left: 6 (9 enodes) 6.524 * * [simplify]: iters left: 5 (26 enodes) 6.531 * * [simplify]: iters left: 4 (27 enodes) 6.538 * * [simplify]: Extracting #0: cost 1 inf + 0 6.538 * * [simplify]: Extracting #1: cost 4 inf + 0 6.538 * * [simplify]: Extracting #2: cost 7 inf + 0 6.538 * * [simplify]: Extracting #3: cost 10 inf + 0 6.538 * * [simplify]: Extracting #4: cost 14 inf + 0 6.538 * * [simplify]: Extracting #5: cost 10 inf + 84 6.538 * * [simplify]: Extracting #6: cost 8 inf + 166 6.538 * * [simplify]: Extracting #7: cost 5 inf + 572 6.539 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.539 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.540 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.540 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.540 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.541 * * [simplify]: iters left: 6 (9 enodes) 6.545 * * [simplify]: iters left: 5 (26 enodes) 6.551 * * [simplify]: iters left: 4 (27 enodes) 6.554 * * [simplify]: Extracting #0: cost 1 inf + 0 6.554 * * [simplify]: Extracting #1: cost 4 inf + 0 6.554 * * [simplify]: Extracting #2: cost 7 inf + 0 6.554 * * [simplify]: Extracting #3: cost 10 inf + 0 6.554 * * [simplify]: Extracting #4: cost 14 inf + 0 6.555 * * [simplify]: Extracting #5: cost 10 inf + 84 6.555 * * [simplify]: Extracting #6: cost 8 inf + 166 6.555 * * [simplify]: Extracting #7: cost 5 inf + 572 6.555 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.555 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.556 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.556 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.556 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 6.556 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.556 * * [simplify]: iters left: 6 (9 enodes) 6.558 * * [simplify]: iters left: 5 (26 enodes) 6.561 * * [simplify]: iters left: 4 (27 enodes) 6.565 * * [simplify]: Extracting #0: cost 1 inf + 0 6.565 * * [simplify]: Extracting #1: cost 4 inf + 0 6.565 * * [simplify]: Extracting #2: cost 7 inf + 0 6.565 * * [simplify]: Extracting #3: cost 10 inf + 0 6.565 * * [simplify]: Extracting #4: cost 14 inf + 0 6.565 * * [simplify]: Extracting #5: cost 10 inf + 84 6.565 * * [simplify]: Extracting #6: cost 8 inf + 166 6.565 * * [simplify]: Extracting #7: cost 5 inf + 572 6.565 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.565 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.566 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.566 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.566 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.566 * * [simplify]: iters left: 6 (9 enodes) 6.568 * * [simplify]: iters left: 5 (26 enodes) 6.571 * * [simplify]: iters left: 4 (27 enodes) 6.575 * * [simplify]: Extracting #0: cost 1 inf + 0 6.575 * * [simplify]: Extracting #1: cost 4 inf + 0 6.575 * * [simplify]: Extracting #2: cost 7 inf + 0 6.575 * * [simplify]: Extracting #3: cost 10 inf + 0 6.575 * * [simplify]: Extracting #4: cost 14 inf + 0 6.575 * * [simplify]: Extracting #5: cost 10 inf + 84 6.575 * * [simplify]: Extracting #6: cost 8 inf + 166 6.575 * * [simplify]: Extracting #7: cost 5 inf + 572 6.575 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.575 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.576 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.576 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.576 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 6.576 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.576 * * [simplify]: iters left: 6 (9 enodes) 6.578 * * [simplify]: iters left: 5 (26 enodes) 6.581 * * [simplify]: iters left: 4 (27 enodes) 6.585 * * [simplify]: Extracting #0: cost 1 inf + 0 6.585 * * [simplify]: Extracting #1: cost 4 inf + 0 6.585 * * [simplify]: Extracting #2: cost 7 inf + 0 6.585 * * [simplify]: Extracting #3: cost 10 inf + 0 6.585 * * [simplify]: Extracting #4: cost 14 inf + 0 6.585 * * [simplify]: Extracting #5: cost 10 inf + 84 6.585 * * [simplify]: Extracting #6: cost 8 inf + 166 6.585 * * [simplify]: Extracting #7: cost 5 inf + 572 6.585 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.586 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.586 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.586 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.586 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.586 * * [simplify]: iters left: 6 (9 enodes) 6.588 * * [simplify]: iters left: 5 (26 enodes) 6.591 * * [simplify]: iters left: 4 (27 enodes) 6.595 * * [simplify]: Extracting #0: cost 1 inf + 0 6.595 * * [simplify]: Extracting #1: cost 4 inf + 0 6.595 * * [simplify]: Extracting #2: cost 7 inf + 0 6.595 * * [simplify]: Extracting #3: cost 10 inf + 0 6.595 * * [simplify]: Extracting #4: cost 14 inf + 0 6.596 * * [simplify]: Extracting #5: cost 10 inf + 84 6.596 * * [simplify]: Extracting #6: cost 8 inf + 166 6.596 * * [simplify]: Extracting #7: cost 5 inf + 572 6.596 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.597 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.598 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.598 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.598 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 6.598 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 6.598 * * [simplify]: iters left: 3 (3 enodes) 6.602 * * [simplify]: iters left: 2 (9 enodes) 6.605 * * [simplify]: iters left: 1 (11 enodes) 6.608 * * [simplify]: Extracting #0: cost 1 inf + 0 6.608 * * [simplify]: Extracting #1: cost 0 inf + 1 6.608 * [simplify]: Simplified to 1 6.608 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 6.609 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 6.609 * * [simplify]: iters left: 6 (8 enodes) 6.612 * * [simplify]: iters left: 5 (23 enodes) 6.620 * * [simplify]: iters left: 4 (24 enodes) 6.626 * * [simplify]: Extracting #0: cost 1 inf + 0 6.626 * * [simplify]: Extracting #1: cost 4 inf + 0 6.627 * * [simplify]: Extracting #2: cost 8 inf + 0 6.627 * * [simplify]: Extracting #3: cost 12 inf + 0 6.627 * * [simplify]: Extracting #4: cost 10 inf + 2 6.627 * * [simplify]: Extracting #5: cost 3 inf + 572 6.627 * * [simplify]: Extracting #6: cost 0 inf + 1138 6.628 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 6.628 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 6.628 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 6.628 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.629 * * [simplify]: iters left: 6 (9 enodes) 6.633 * * [simplify]: iters left: 5 (26 enodes) 6.640 * * [simplify]: iters left: 4 (27 enodes) 6.647 * * [simplify]: Extracting #0: cost 1 inf + 0 6.647 * * [simplify]: Extracting #1: cost 4 inf + 0 6.647 * * [simplify]: Extracting #2: cost 7 inf + 0 6.647 * * [simplify]: Extracting #3: cost 10 inf + 0 6.647 * * [simplify]: Extracting #4: cost 14 inf + 0 6.647 * * [simplify]: Extracting #5: cost 10 inf + 84 6.647 * * [simplify]: Extracting #6: cost 8 inf + 166 6.648 * * [simplify]: Extracting #7: cost 5 inf + 572 6.648 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.649 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.649 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.649 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.650 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.650 * * [simplify]: iters left: 6 (9 enodes) 6.654 * * [simplify]: iters left: 5 (26 enodes) 6.661 * * [simplify]: iters left: 4 (27 enodes) 6.668 * * [simplify]: Extracting #0: cost 1 inf + 0 6.668 * * [simplify]: Extracting #1: cost 4 inf + 0 6.668 * * [simplify]: Extracting #2: cost 7 inf + 0 6.668 * * [simplify]: Extracting #3: cost 10 inf + 0 6.668 * * [simplify]: Extracting #4: cost 14 inf + 0 6.668 * * [simplify]: Extracting #5: cost 10 inf + 84 6.669 * * [simplify]: Extracting #6: cost 8 inf + 166 6.669 * * [simplify]: Extracting #7: cost 5 inf + 572 6.669 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.670 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.670 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.670 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.671 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 6.671 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.671 * * [simplify]: iters left: 6 (9 enodes) 6.675 * * [simplify]: iters left: 5 (26 enodes) 6.682 * * [simplify]: iters left: 4 (27 enodes) 6.689 * * [simplify]: Extracting #0: cost 1 inf + 0 6.689 * * [simplify]: Extracting #1: cost 4 inf + 0 6.689 * * [simplify]: Extracting #2: cost 7 inf + 0 6.689 * * [simplify]: Extracting #3: cost 10 inf + 0 6.689 * * [simplify]: Extracting #4: cost 14 inf + 0 6.689 * * [simplify]: Extracting #5: cost 10 inf + 84 6.689 * * [simplify]: Extracting #6: cost 8 inf + 166 6.690 * * [simplify]: Extracting #7: cost 5 inf + 572 6.690 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.691 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.691 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.691 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.692 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.692 * * [simplify]: iters left: 6 (9 enodes) 6.696 * * [simplify]: iters left: 5 (26 enodes) 6.703 * * [simplify]: iters left: 4 (27 enodes) 6.708 * * [simplify]: Extracting #0: cost 1 inf + 0 6.708 * * [simplify]: Extracting #1: cost 4 inf + 0 6.708 * * [simplify]: Extracting #2: cost 7 inf + 0 6.708 * * [simplify]: Extracting #3: cost 10 inf + 0 6.708 * * [simplify]: Extracting #4: cost 14 inf + 0 6.708 * * [simplify]: Extracting #5: cost 10 inf + 84 6.708 * * [simplify]: Extracting #6: cost 8 inf + 166 6.708 * * [simplify]: Extracting #7: cost 5 inf + 572 6.708 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.709 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.709 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.709 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.709 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 6.709 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.709 * * [simplify]: iters left: 6 (9 enodes) 6.711 * * [simplify]: iters left: 5 (26 enodes) 6.715 * * [simplify]: iters left: 4 (27 enodes) 6.718 * * [simplify]: Extracting #0: cost 1 inf + 0 6.718 * * [simplify]: Extracting #1: cost 4 inf + 0 6.718 * * [simplify]: Extracting #2: cost 7 inf + 0 6.718 * * [simplify]: Extracting #3: cost 10 inf + 0 6.718 * * [simplify]: Extracting #4: cost 14 inf + 0 6.718 * * [simplify]: Extracting #5: cost 10 inf + 84 6.718 * * [simplify]: Extracting #6: cost 8 inf + 166 6.718 * * [simplify]: Extracting #7: cost 5 inf + 572 6.718 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.719 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.719 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.719 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.719 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.719 * * [simplify]: iters left: 6 (9 enodes) 6.721 * * [simplify]: iters left: 5 (26 enodes) 6.724 * * [simplify]: iters left: 4 (27 enodes) 6.728 * * [simplify]: Extracting #0: cost 1 inf + 0 6.728 * * [simplify]: Extracting #1: cost 4 inf + 0 6.728 * * [simplify]: Extracting #2: cost 7 inf + 0 6.728 * * [simplify]: Extracting #3: cost 10 inf + 0 6.728 * * [simplify]: Extracting #4: cost 14 inf + 0 6.728 * * [simplify]: Extracting #5: cost 10 inf + 84 6.728 * * [simplify]: Extracting #6: cost 8 inf + 166 6.728 * * [simplify]: Extracting #7: cost 5 inf + 572 6.728 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.729 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.729 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.729 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.729 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 6.729 * [simplify]: Simplifying (* 1 1) 6.729 * * [simplify]: iters left: 2 (2 enodes) 6.730 * * [simplify]: iters left: 1 (6 enodes) 6.732 * * [simplify]: Extracting #0: cost 1 inf + 0 6.732 * * [simplify]: Extracting #1: cost 0 inf + 1 6.732 * [simplify]: Simplified to 1 6.732 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 6.732 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 6.732 * * [simplify]: iters left: 6 (8 enodes) 6.734 * * [simplify]: iters left: 5 (23 enodes) 6.740 * * [simplify]: iters left: 4 (24 enodes) 6.747 * * [simplify]: Extracting #0: cost 1 inf + 0 6.748 * * [simplify]: Extracting #1: cost 4 inf + 0 6.748 * * [simplify]: Extracting #2: cost 8 inf + 0 6.748 * * [simplify]: Extracting #3: cost 12 inf + 0 6.748 * * [simplify]: Extracting #4: cost 10 inf + 2 6.748 * * [simplify]: Extracting #5: cost 3 inf + 572 6.748 * * [simplify]: Extracting #6: cost 0 inf + 1138 6.749 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 6.749 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 6.749 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 6.750 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.750 * * [simplify]: iters left: 6 (9 enodes) 6.754 * * [simplify]: iters left: 5 (26 enodes) 6.761 * * [simplify]: iters left: 4 (27 enodes) 6.768 * * [simplify]: Extracting #0: cost 1 inf + 0 6.768 * * [simplify]: Extracting #1: cost 4 inf + 0 6.768 * * [simplify]: Extracting #2: cost 7 inf + 0 6.768 * * [simplify]: Extracting #3: cost 10 inf + 0 6.768 * * [simplify]: Extracting #4: cost 14 inf + 0 6.768 * * [simplify]: Extracting #5: cost 10 inf + 84 6.768 * * [simplify]: Extracting #6: cost 8 inf + 166 6.768 * * [simplify]: Extracting #7: cost 5 inf + 572 6.769 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.769 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.770 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.770 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.770 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.771 * * [simplify]: iters left: 6 (9 enodes) 6.774 * * [simplify]: iters left: 5 (26 enodes) 6.782 * * [simplify]: iters left: 4 (27 enodes) 6.789 * * [simplify]: Extracting #0: cost 1 inf + 0 6.789 * * [simplify]: Extracting #1: cost 4 inf + 0 6.789 * * [simplify]: Extracting #2: cost 7 inf + 0 6.789 * * [simplify]: Extracting #3: cost 10 inf + 0 6.789 * * [simplify]: Extracting #4: cost 14 inf + 0 6.789 * * [simplify]: Extracting #5: cost 10 inf + 84 6.789 * * [simplify]: Extracting #6: cost 8 inf + 166 6.790 * * [simplify]: Extracting #7: cost 5 inf + 572 6.790 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.791 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.791 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.791 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.791 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 6.792 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.792 * * [simplify]: iters left: 6 (9 enodes) 6.796 * * [simplify]: iters left: 5 (26 enodes) 6.802 * * [simplify]: iters left: 4 (27 enodes) 6.809 * * [simplify]: Extracting #0: cost 1 inf + 0 6.809 * * [simplify]: Extracting #1: cost 4 inf + 0 6.809 * * [simplify]: Extracting #2: cost 7 inf + 0 6.809 * * [simplify]: Extracting #3: cost 10 inf + 0 6.809 * * [simplify]: Extracting #4: cost 14 inf + 0 6.809 * * [simplify]: Extracting #5: cost 10 inf + 84 6.810 * * [simplify]: Extracting #6: cost 8 inf + 166 6.810 * * [simplify]: Extracting #7: cost 5 inf + 572 6.810 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.811 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.812 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.812 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.812 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.812 * * [simplify]: iters left: 6 (9 enodes) 6.816 * * [simplify]: iters left: 5 (26 enodes) 6.823 * * [simplify]: iters left: 4 (27 enodes) 6.830 * * [simplify]: Extracting #0: cost 1 inf + 0 6.830 * * [simplify]: Extracting #1: cost 4 inf + 0 6.830 * * [simplify]: Extracting #2: cost 7 inf + 0 6.830 * * [simplify]: Extracting #3: cost 10 inf + 0 6.830 * * [simplify]: Extracting #4: cost 14 inf + 0 6.830 * * [simplify]: Extracting #5: cost 10 inf + 84 6.830 * * [simplify]: Extracting #6: cost 8 inf + 166 6.831 * * [simplify]: Extracting #7: cost 5 inf + 572 6.831 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.832 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.832 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.832 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.832 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 6.833 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.833 * * [simplify]: iters left: 6 (9 enodes) 6.837 * * [simplify]: iters left: 5 (26 enodes) 6.844 * * [simplify]: iters left: 4 (27 enodes) 6.851 * * [simplify]: Extracting #0: cost 1 inf + 0 6.851 * * [simplify]: Extracting #1: cost 4 inf + 0 6.851 * * [simplify]: Extracting #2: cost 7 inf + 0 6.851 * * [simplify]: Extracting #3: cost 10 inf + 0 6.852 * * [simplify]: Extracting #4: cost 14 inf + 0 6.852 * * [simplify]: Extracting #5: cost 10 inf + 84 6.852 * * [simplify]: Extracting #6: cost 8 inf + 166 6.852 * * [simplify]: Extracting #7: cost 5 inf + 572 6.852 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.853 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.854 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.854 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.854 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.854 * * [simplify]: iters left: 6 (9 enodes) 6.858 * * [simplify]: iters left: 5 (26 enodes) 6.865 * * [simplify]: iters left: 4 (27 enodes) 6.872 * * [simplify]: Extracting #0: cost 1 inf + 0 6.872 * * [simplify]: Extracting #1: cost 4 inf + 0 6.872 * * [simplify]: Extracting #2: cost 7 inf + 0 6.872 * * [simplify]: Extracting #3: cost 10 inf + 0 6.872 * * [simplify]: Extracting #4: cost 14 inf + 0 6.872 * * [simplify]: Extracting #5: cost 10 inf + 84 6.872 * * [simplify]: Extracting #6: cost 8 inf + 166 6.872 * * [simplify]: Extracting #7: cost 5 inf + 572 6.873 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.873 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.874 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.874 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.874 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 6.875 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.875 * * [simplify]: iters left: 6 (9 enodes) 6.879 * * [simplify]: iters left: 5 (26 enodes) 6.886 * * [simplify]: iters left: 4 (27 enodes) 6.892 * * [simplify]: Extracting #0: cost 1 inf + 0 6.892 * * [simplify]: Extracting #1: cost 4 inf + 0 6.893 * * [simplify]: Extracting #2: cost 7 inf + 0 6.893 * * [simplify]: Extracting #3: cost 10 inf + 0 6.893 * * [simplify]: Extracting #4: cost 14 inf + 0 6.893 * * [simplify]: Extracting #5: cost 10 inf + 84 6.893 * * [simplify]: Extracting #6: cost 8 inf + 166 6.893 * * [simplify]: Extracting #7: cost 5 inf + 572 6.895 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.895 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.896 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.896 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.897 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.897 * * [simplify]: iters left: 6 (9 enodes) 6.901 * * [simplify]: iters left: 5 (26 enodes) 6.907 * * [simplify]: iters left: 4 (27 enodes) 6.914 * * [simplify]: Extracting #0: cost 1 inf + 0 6.914 * * [simplify]: Extracting #1: cost 4 inf + 0 6.915 * * [simplify]: Extracting #2: cost 7 inf + 0 6.915 * * [simplify]: Extracting #3: cost 10 inf + 0 6.915 * * [simplify]: Extracting #4: cost 14 inf + 0 6.915 * * [simplify]: Extracting #5: cost 10 inf + 84 6.915 * * [simplify]: Extracting #6: cost 8 inf + 166 6.915 * * [simplify]: Extracting #7: cost 5 inf + 572 6.916 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.916 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.917 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.917 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.917 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 6.917 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.918 * * [simplify]: iters left: 6 (9 enodes) 6.921 * * [simplify]: iters left: 5 (26 enodes) 6.927 * * [simplify]: iters left: 4 (27 enodes) 6.931 * * [simplify]: Extracting #0: cost 1 inf + 0 6.931 * * [simplify]: Extracting #1: cost 4 inf + 0 6.931 * * [simplify]: Extracting #2: cost 7 inf + 0 6.931 * * [simplify]: Extracting #3: cost 10 inf + 0 6.931 * * [simplify]: Extracting #4: cost 14 inf + 0 6.931 * * [simplify]: Extracting #5: cost 10 inf + 84 6.931 * * [simplify]: Extracting #6: cost 8 inf + 166 6.931 * * [simplify]: Extracting #7: cost 5 inf + 572 6.931 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.932 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.932 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.932 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.932 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.932 * * [simplify]: iters left: 6 (9 enodes) 6.934 * * [simplify]: iters left: 5 (26 enodes) 6.937 * * [simplify]: iters left: 4 (27 enodes) 6.941 * * [simplify]: Extracting #0: cost 1 inf + 0 6.941 * * [simplify]: Extracting #1: cost 4 inf + 0 6.941 * * [simplify]: Extracting #2: cost 7 inf + 0 6.941 * * [simplify]: Extracting #3: cost 10 inf + 0 6.941 * * [simplify]: Extracting #4: cost 14 inf + 0 6.941 * * [simplify]: Extracting #5: cost 10 inf + 84 6.941 * * [simplify]: Extracting #6: cost 8 inf + 166 6.941 * * [simplify]: Extracting #7: cost 5 inf + 572 6.941 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.942 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.942 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.942 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.942 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 6.942 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.942 * * [simplify]: iters left: 6 (9 enodes) 6.944 * * [simplify]: iters left: 5 (26 enodes) 6.948 * * [simplify]: iters left: 4 (27 enodes) 6.951 * * [simplify]: Extracting #0: cost 1 inf + 0 6.951 * * [simplify]: Extracting #1: cost 4 inf + 0 6.951 * * [simplify]: Extracting #2: cost 7 inf + 0 6.952 * * [simplify]: Extracting #3: cost 10 inf + 0 6.952 * * [simplify]: Extracting #4: cost 14 inf + 0 6.952 * * [simplify]: Extracting #5: cost 10 inf + 84 6.952 * * [simplify]: Extracting #6: cost 8 inf + 166 6.952 * * [simplify]: Extracting #7: cost 5 inf + 572 6.952 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.952 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.953 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.953 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.953 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.953 * * [simplify]: iters left: 6 (9 enodes) 6.956 * * [simplify]: iters left: 5 (26 enodes) 6.963 * * [simplify]: iters left: 4 (27 enodes) 6.969 * * [simplify]: Extracting #0: cost 1 inf + 0 6.970 * * [simplify]: Extracting #1: cost 4 inf + 0 6.970 * * [simplify]: Extracting #2: cost 7 inf + 0 6.970 * * [simplify]: Extracting #3: cost 10 inf + 0 6.970 * * [simplify]: Extracting #4: cost 14 inf + 0 6.970 * * [simplify]: Extracting #5: cost 10 inf + 84 6.970 * * [simplify]: Extracting #6: cost 8 inf + 166 6.970 * * [simplify]: Extracting #7: cost 5 inf + 572 6.971 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.971 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.972 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.972 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 6.972 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 6.972 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.973 * * [simplify]: iters left: 6 (9 enodes) 6.977 * * [simplify]: iters left: 5 (26 enodes) 6.984 * * [simplify]: iters left: 4 (27 enodes) 6.991 * * [simplify]: Extracting #0: cost 1 inf + 0 6.991 * * [simplify]: Extracting #1: cost 4 inf + 0 6.991 * * [simplify]: Extracting #2: cost 7 inf + 0 6.991 * * [simplify]: Extracting #3: cost 10 inf + 0 6.991 * * [simplify]: Extracting #4: cost 14 inf + 0 6.991 * * [simplify]: Extracting #5: cost 10 inf + 84 6.991 * * [simplify]: Extracting #6: cost 8 inf + 166 6.991 * * [simplify]: Extracting #7: cost 5 inf + 572 6.992 * * [simplify]: Extracting #8: cost 2 inf + 1178 6.992 * * [simplify]: Extracting #9: cost 0 inf + 1622 6.993 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.993 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.993 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 6.994 * * [simplify]: iters left: 6 (9 enodes) 6.998 * * [simplify]: iters left: 5 (26 enodes) 7.005 * * [simplify]: iters left: 4 (27 enodes) 7.009 * * [simplify]: Extracting #0: cost 1 inf + 0 7.009 * * [simplify]: Extracting #1: cost 4 inf + 0 7.009 * * [simplify]: Extracting #2: cost 7 inf + 0 7.009 * * [simplify]: Extracting #3: cost 10 inf + 0 7.009 * * [simplify]: Extracting #4: cost 14 inf + 0 7.009 * * [simplify]: Extracting #5: cost 10 inf + 84 7.009 * * [simplify]: Extracting #6: cost 8 inf + 166 7.009 * * [simplify]: Extracting #7: cost 5 inf + 572 7.009 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.009 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.010 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.010 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.010 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 7.010 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.010 * * [simplify]: iters left: 6 (9 enodes) 7.013 * * [simplify]: iters left: 5 (26 enodes) 7.016 * * [simplify]: iters left: 4 (27 enodes) 7.019 * * [simplify]: Extracting #0: cost 1 inf + 0 7.019 * * [simplify]: Extracting #1: cost 4 inf + 0 7.019 * * [simplify]: Extracting #2: cost 7 inf + 0 7.019 * * [simplify]: Extracting #3: cost 10 inf + 0 7.019 * * [simplify]: Extracting #4: cost 14 inf + 0 7.020 * * [simplify]: Extracting #5: cost 10 inf + 84 7.020 * * [simplify]: Extracting #6: cost 8 inf + 166 7.020 * * [simplify]: Extracting #7: cost 5 inf + 572 7.020 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.020 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.021 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.021 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.021 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.021 * * [simplify]: iters left: 6 (9 enodes) 7.023 * * [simplify]: iters left: 5 (26 enodes) 7.026 * * [simplify]: iters left: 4 (27 enodes) 7.030 * * [simplify]: Extracting #0: cost 1 inf + 0 7.030 * * [simplify]: Extracting #1: cost 4 inf + 0 7.030 * * [simplify]: Extracting #2: cost 7 inf + 0 7.030 * * [simplify]: Extracting #3: cost 10 inf + 0 7.030 * * [simplify]: Extracting #4: cost 14 inf + 0 7.030 * * [simplify]: Extracting #5: cost 10 inf + 84 7.030 * * [simplify]: Extracting #6: cost 8 inf + 166 7.030 * * [simplify]: Extracting #7: cost 5 inf + 572 7.030 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.031 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.031 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.031 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.031 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 7.031 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.031 * * [simplify]: iters left: 6 (9 enodes) 7.033 * * [simplify]: iters left: 5 (26 enodes) 7.036 * * [simplify]: iters left: 4 (27 enodes) 7.039 * * [simplify]: Extracting #0: cost 1 inf + 0 7.039 * * [simplify]: Extracting #1: cost 4 inf + 0 7.039 * * [simplify]: Extracting #2: cost 7 inf + 0 7.040 * * [simplify]: Extracting #3: cost 10 inf + 0 7.040 * * [simplify]: Extracting #4: cost 14 inf + 0 7.040 * * [simplify]: Extracting #5: cost 10 inf + 84 7.040 * * [simplify]: Extracting #6: cost 8 inf + 166 7.040 * * [simplify]: Extracting #7: cost 5 inf + 572 7.040 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.040 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.041 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.041 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 7.041 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.041 * * [simplify]: iters left: 6 (9 enodes) 7.043 * * [simplify]: iters left: 5 (26 enodes) 7.051 * * [simplify]: iters left: 4 (27 enodes) 7.057 * * [simplify]: Extracting #0: cost 1 inf + 0 7.057 * * [simplify]: Extracting #1: cost 4 inf + 0 7.058 * * [simplify]: Extracting #2: cost 7 inf + 0 7.058 * * [simplify]: Extracting #3: cost 10 inf + 0 7.058 * * [simplify]: Extracting #4: cost 14 inf + 0 7.058 * * [simplify]: Extracting #5: cost 10 inf + 84 7.058 * * [simplify]: Extracting #6: cost 8 inf + 166 7.058 * * [simplify]: Extracting #7: cost 5 inf + 572 7.059 * * [simplify]: Extracting #8: cost 2 inf + 1178 7.059 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.060 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.060 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.060 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 7.060 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.060 * * [simplify]: iters left: 5 (6 enodes) 7.063 * * [simplify]: iters left: 4 (19 enodes) 7.068 * * [simplify]: Extracting #0: cost 1 inf + 0 7.068 * * [simplify]: Extracting #1: cost 3 inf + 0 7.068 * * [simplify]: Extracting #2: cost 6 inf + 0 7.068 * * [simplify]: Extracting #3: cost 10 inf + 0 7.068 * * [simplify]: Extracting #4: cost 6 inf + 84 7.069 * * [simplify]: Extracting #5: cost 0 inf + 734 7.069 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.069 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re))))) 7.069 * [simplify]: Simplifying (* 2 1/2) 7.069 * * [simplify]: iters left: 2 (3 enodes) 7.074 * * [simplify]: iters left: 1 (11 enodes) 7.077 * * [simplify]: Extracting #0: cost 1 inf + 0 7.077 * * [simplify]: Extracting #1: cost 0 inf + 1 7.077 * [simplify]: Simplified to 1 7.077 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 7.078 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 7.078 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.078 * * [simplify]: iters left: 6 (7 enodes) 7.081 * * [simplify]: iters left: 5 (22 enodes) 7.087 * * [simplify]: Extracting #0: cost 1 inf + 0 7.087 * * [simplify]: Extracting #1: cost 3 inf + 0 7.087 * * [simplify]: Extracting #2: cost 5 inf + 0 7.087 * * [simplify]: Extracting #3: cost 8 inf + 0 7.087 * * [simplify]: Extracting #4: cost 12 inf + 0 7.087 * * [simplify]: Extracting #5: cost 10 inf + 2 7.087 * * [simplify]: Extracting #6: cost 1 inf + 936 7.088 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.088 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.088 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re))))) 7.089 * [simplify]: Simplifying (* 2 1) 7.089 * * [simplify]: iters left: 2 (3 enodes) 7.091 * * [simplify]: iters left: 1 (9 enodes) 7.094 * * [simplify]: Extracting #0: cost 1 inf + 0 7.094 * * [simplify]: Extracting #1: cost 0 inf + 1 7.094 * [simplify]: Simplified to 2 7.094 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 7.094 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 7.094 * [simplify]: Simplifying (+ (* re re) (* im im)) 7.094 * * [simplify]: iters left: 4 (5 enodes) 7.097 * * [simplify]: iters left: 3 (16 enodes) 7.101 * * [simplify]: Extracting #0: cost 1 inf + 0 7.101 * * [simplify]: Extracting #1: cost 4 inf + 0 7.101 * * [simplify]: Extracting #2: cost 8 inf + 0 7.101 * * [simplify]: Extracting #3: cost 4 inf + 84 7.101 * * [simplify]: Extracting #4: cost 0 inf + 410 7.101 * [simplify]: Simplified to (+ (* re re) (* im im)) 7.101 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re))))) 7.102 * [simplify]: Simplifying (* 2 (/ 1/2 2)) 7.102 * * [simplify]: iters left: 4 (4 enodes) 7.108 * * [simplify]: iters left: 3 (17 enodes) 7.113 * * [simplify]: iters left: 2 (21 enodes) 7.119 * * [simplify]: iters left: 1 (23 enodes) 7.125 * * [simplify]: Extracting #0: cost 1 inf + 0 7.125 * * [simplify]: Extracting #1: cost 0 inf + 1 7.125 * [simplify]: Simplified to 1/2 7.125 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 7.126 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 7.126 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 7.126 * * [simplify]: iters left: 5 (6 enodes) 7.129 * * [simplify]: iters left: 4 (19 enodes) 7.134 * * [simplify]: Extracting #0: cost 1 inf + 0 7.134 * * [simplify]: Extracting #1: cost 3 inf + 0 7.134 * * [simplify]: Extracting #2: cost 6 inf + 0 7.134 * * [simplify]: Extracting #3: cost 10 inf + 0 7.134 * * [simplify]: Extracting #4: cost 6 inf + 84 7.134 * * [simplify]: Extracting #5: cost 0 inf + 734 7.135 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 7.135 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re))))) 7.135 * [simplify]: Simplifying (* 2 (/ 1 2)) 7.135 * * [simplify]: iters left: 4 (4 enodes) 7.141 * * [simplify]: iters left: 3 (13 enodes) 7.145 * * [simplify]: iters left: 2 (15 enodes) 7.150 * * [simplify]: Extracting #0: cost 1 inf + 0 7.150 * * [simplify]: Extracting #1: cost 0 inf + 1 7.150 * [simplify]: Simplified to 1 7.150 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 7.151 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 7.151 * [simplify]: Simplifying (+ (* re re) (* im im)) 7.151 * * [simplify]: iters left: 4 (5 enodes) 7.153 * * [simplify]: iters left: 3 (16 enodes) 7.158 * * [simplify]: Extracting #0: cost 1 inf + 0 7.158 * * [simplify]: Extracting #1: cost 4 inf + 0 7.158 * * [simplify]: Extracting #2: cost 8 inf + 0 7.158 * * [simplify]: Extracting #3: cost 4 inf + 84 7.158 * * [simplify]: Extracting #4: cost 0 inf + 410 7.158 * [simplify]: Simplified to (+ (* re re) (* im im)) 7.158 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re))))) 7.159 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 7.159 * * [simplify]: iters left: 6 (5 enodes) 7.165 * * [simplify]: iters left: 5 (25 enodes) 7.170 * * [simplify]: iters left: 4 (29 enodes) 7.174 * * [simplify]: Extracting #0: cost 1 inf + 0 7.174 * * [simplify]: Extracting #1: cost 0 inf + 1 7.174 * [simplify]: Simplified to 1/2 7.174 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 7.174 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 7.174 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.174 * * [simplify]: iters left: 6 (8 enodes) 7.176 * * [simplify]: iters left: 5 (25 enodes) 7.179 * * [simplify]: Extracting #0: cost 1 inf + 0 7.179 * * [simplify]: Extracting #1: cost 3 inf + 0 7.179 * * [simplify]: Extracting #2: cost 5 inf + 0 7.179 * * [simplify]: Extracting #3: cost 7 inf + 0 7.179 * * [simplify]: Extracting #4: cost 10 inf + 0 7.179 * * [simplify]: Extracting #5: cost 14 inf + 0 7.179 * * [simplify]: Extracting #6: cost 11 inf + 43 7.179 * * [simplify]: Extracting #7: cost 9 inf + 125 7.179 * * [simplify]: Extracting #8: cost 5 inf + 572 7.180 * * [simplify]: Extracting #9: cost 1 inf + 1420 7.180 * * [simplify]: Extracting #10: cost 0 inf + 1702 7.180 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.180 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.180 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 7.181 * [simplify]: Simplifying (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 7.181 * * [simplify]: iters left: 6 (8 enodes) 7.182 * * [simplify]: iters left: 5 (25 enodes) 7.185 * * [simplify]: Extracting #0: cost 1 inf + 0 7.186 * * [simplify]: Extracting #1: cost 3 inf + 0 7.186 * * [simplify]: Extracting #2: cost 5 inf + 0 7.186 * * [simplify]: Extracting #3: cost 7 inf + 0 7.186 * * [simplify]: Extracting #4: cost 10 inf + 0 7.186 * * [simplify]: Extracting #5: cost 14 inf + 0 7.186 * * [simplify]: Extracting #6: cost 11 inf + 43 7.186 * * [simplify]: Extracting #7: cost 9 inf + 125 7.186 * * [simplify]: Extracting #8: cost 5 inf + 572 7.186 * * [simplify]: Extracting #9: cost 1 inf + 1500 7.186 * * [simplify]: Extracting #10: cost 0 inf + 1782 7.187 * [simplify]: Simplified to (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 7.187 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.187 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 7.187 * [simplify]: Simplifying (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 7.187 * * [simplify]: iters left: 6 (8 enodes) 7.189 * * [simplify]: iters left: 5 (25 enodes) 7.192 * * [simplify]: Extracting #0: cost 1 inf + 0 7.192 * * [simplify]: Extracting #1: cost 3 inf + 0 7.192 * * [simplify]: Extracting #2: cost 5 inf + 0 7.192 * * [simplify]: Extracting #3: cost 7 inf + 0 7.192 * * [simplify]: Extracting #4: cost 10 inf + 0 7.192 * * [simplify]: Extracting #5: cost 14 inf + 0 7.192 * * [simplify]: Extracting #6: cost 11 inf + 43 7.192 * * [simplify]: Extracting #7: cost 9 inf + 125 7.192 * * [simplify]: Extracting #8: cost 5 inf + 612 7.192 * * [simplify]: Extracting #9: cost 1 inf + 1580 7.193 * * [simplify]: Extracting #10: cost 0 inf + 1862 7.193 * [simplify]: Simplified to (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 7.193 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 7.193 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 7.193 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.193 * * [simplify]: iters left: 6 (8 enodes) 7.196 * * [simplify]: iters left: 5 (25 enodes) 7.202 * * [simplify]: Extracting #0: cost 1 inf + 0 7.202 * * [simplify]: Extracting #1: cost 3 inf + 0 7.202 * * [simplify]: Extracting #2: cost 5 inf + 0 7.202 * * [simplify]: Extracting #3: cost 7 inf + 0 7.203 * * [simplify]: Extracting #4: cost 10 inf + 0 7.203 * * [simplify]: Extracting #5: cost 14 inf + 0 7.203 * * [simplify]: Extracting #6: cost 11 inf + 43 7.203 * * [simplify]: Extracting #7: cost 9 inf + 125 7.203 * * [simplify]: Extracting #8: cost 5 inf + 572 7.203 * * [simplify]: Extracting #9: cost 1 inf + 1380 7.204 * * [simplify]: Extracting #10: cost 0 inf + 1622 7.204 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.205 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.205 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 7.205 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.205 * * [simplify]: iters left: 6 (7 enodes) 7.208 * * [simplify]: iters left: 5 (22 enodes) 7.214 * * [simplify]: Extracting #0: cost 1 inf + 0 7.214 * * [simplify]: Extracting #1: cost 3 inf + 0 7.214 * * [simplify]: Extracting #2: cost 5 inf + 0 7.214 * * [simplify]: Extracting #3: cost 8 inf + 0 7.214 * * [simplify]: Extracting #4: cost 12 inf + 0 7.214 * * [simplify]: Extracting #5: cost 10 inf + 2 7.214 * * [simplify]: Extracting #6: cost 1 inf + 936 7.215 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.215 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.215 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.215 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 7.216 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.216 * * [simplify]: iters left: 6 (8 enodes) 7.219 * * [simplify]: iters left: 5 (25 enodes) 7.226 * * [simplify]: Extracting #0: cost 1 inf + 0 7.226 * * [simplify]: Extracting #1: cost 3 inf + 0 7.226 * * [simplify]: Extracting #2: cost 5 inf + 0 7.226 * * [simplify]: Extracting #3: cost 7 inf + 0 7.226 * * [simplify]: Extracting #4: cost 10 inf + 0 7.226 * * [simplify]: Extracting #5: cost 14 inf + 0 7.226 * * [simplify]: Extracting #6: cost 11 inf + 43 7.226 * * [simplify]: Extracting #7: cost 9 inf + 125 7.227 * * [simplify]: Extracting #8: cost 5 inf + 572 7.227 * * [simplify]: Extracting #9: cost 1 inf + 1380 7.228 * * [simplify]: Extracting #10: cost 0 inf + 1622 7.228 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.228 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.228 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 7.229 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.229 * * [simplify]: iters left: 6 (7 enodes) 7.232 * * [simplify]: iters left: 5 (22 enodes) 7.236 * * [simplify]: Extracting #0: cost 1 inf + 0 7.236 * * [simplify]: Extracting #1: cost 3 inf + 0 7.236 * * [simplify]: Extracting #2: cost 5 inf + 0 7.236 * * [simplify]: Extracting #3: cost 8 inf + 0 7.236 * * [simplify]: Extracting #4: cost 12 inf + 0 7.236 * * [simplify]: Extracting #5: cost 10 inf + 2 7.236 * * [simplify]: Extracting #6: cost 1 inf + 936 7.236 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.236 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.236 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.237 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 7.237 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.237 * * [simplify]: iters left: 6 (8 enodes) 7.238 * * [simplify]: iters left: 5 (25 enodes) 7.241 * * [simplify]: Extracting #0: cost 1 inf + 0 7.241 * * [simplify]: Extracting #1: cost 3 inf + 0 7.241 * * [simplify]: Extracting #2: cost 5 inf + 0 7.241 * * [simplify]: Extracting #3: cost 7 inf + 0 7.242 * * [simplify]: Extracting #4: cost 10 inf + 0 7.242 * * [simplify]: Extracting #5: cost 14 inf + 0 7.242 * * [simplify]: Extracting #6: cost 11 inf + 43 7.242 * * [simplify]: Extracting #7: cost 9 inf + 125 7.242 * * [simplify]: Extracting #8: cost 5 inf + 572 7.242 * * [simplify]: Extracting #9: cost 1 inf + 1380 7.242 * * [simplify]: Extracting #10: cost 0 inf + 1622 7.243 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.243 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.243 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 7.243 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 7.243 * * [simplify]: iters left: 6 (7 enodes) 7.244 * * [simplify]: iters left: 5 (22 enodes) 7.247 * * [simplify]: Extracting #0: cost 1 inf + 0 7.247 * * [simplify]: Extracting #1: cost 3 inf + 0 7.247 * * [simplify]: Extracting #2: cost 5 inf + 0 7.247 * * [simplify]: Extracting #3: cost 8 inf + 0 7.247 * * [simplify]: Extracting #4: cost 12 inf + 0 7.247 * * [simplify]: Extracting #5: cost 10 inf + 2 7.248 * * [simplify]: Extracting #6: cost 1 inf + 936 7.248 * * [simplify]: Extracting #7: cost 0 inf + 1138 7.249 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 7.249 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 7.250 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 7.250 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.250 * * [simplify]: iters left: 6 (9 enodes) 7.252 * * [simplify]: iters left: 5 (28 enodes) 7.255 * * [simplify]: Extracting #0: cost 1 inf + 0 7.255 * * [simplify]: Extracting #1: cost 3 inf + 0 7.255 * * [simplify]: Extracting #2: cost 5 inf + 0 7.255 * * [simplify]: Extracting #3: cost 7 inf + 0 7.255 * * [simplify]: Extracting #4: cost 9 inf + 0 7.255 * * [simplify]: Extracting #5: cost 12 inf + 0 7.256 * * [simplify]: Extracting #6: cost 16 inf + 0 7.256 * * [simplify]: Extracting #7: cost 12 inf + 84 7.256 * * [simplify]: Extracting #8: cost 10 inf + 166 7.256 * * [simplify]: Extracting #9: cost 7 inf + 572 7.256 * * [simplify]: Extracting #10: cost 4 inf + 1218 7.256 * * [simplify]: Extracting #11: cost 1 inf + 2024 7.257 * * [simplify]: Extracting #12: cost 0 inf + 2346 7.257 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 7.257 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.257 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 7.257 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) 7.257 * * [simplify]: iters left: 6 (9 enodes) 7.259 * * [simplify]: iters left: 5 (29 enodes) 7.263 * * [simplify]: Extracting #0: cost 1 inf + 0 7.263 * * [simplify]: Extracting #1: cost 4 inf + 0 7.263 * * [simplify]: Extracting #2: cost 7 inf + 0 7.263 * * [simplify]: Extracting #3: cost 9 inf + 0 7.263 * * [simplify]: Extracting #4: cost 12 inf + 0 7.263 * * [simplify]: Extracting #5: cost 16 inf + 0 7.263 * * [simplify]: Extracting #6: cost 13 inf + 43 7.263 * * [simplify]: Extracting #7: cost 11 inf + 125 7.263 * * [simplify]: Extracting #8: cost 7 inf + 572 7.263 * * [simplify]: Extracting #9: cost 1 inf + 2064 7.264 * * [simplify]: Extracting #10: cost 0 inf + 2346 7.264 * [simplify]: Simplified to (fabs (cbrt (sqrt (+ (* re re) (* im im))))) 7.264 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.264 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 7.264 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) 7.265 * * [simplify]: iters left: 6 (9 enodes) 7.266 * * [simplify]: iters left: 5 (29 enodes) 7.270 * * [simplify]: Extracting #0: cost 1 inf + 0 7.270 * * [simplify]: Extracting #1: cost 3 inf + 0 7.270 * * [simplify]: Extracting #2: cost 6 inf + 0 7.270 * * [simplify]: Extracting #3: cost 9 inf + 0 7.270 * * [simplify]: Extracting #4: cost 12 inf + 0 7.270 * * [simplify]: Extracting #5: cost 16 inf + 0 7.270 * * [simplify]: Extracting #6: cost 13 inf + 43 7.270 * * [simplify]: Extracting #7: cost 11 inf + 125 7.271 * * [simplify]: Extracting #8: cost 6 inf + 854 7.272 * * [simplify]: Extracting #9: cost 0 inf + 2346 7.272 * [simplify]: Simplified to (sqrt (fabs (cbrt (+ (* re re) (* im im))))) 7.272 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.273 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 7.273 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.273 * * [simplify]: iters left: 6 (8 enodes) 7.276 * * [simplify]: iters left: 5 (25 enodes) 7.283 * * [simplify]: Extracting #0: cost 1 inf + 0 7.283 * * [simplify]: Extracting #1: cost 3 inf + 0 7.283 * * [simplify]: Extracting #2: cost 5 inf + 0 7.283 * * [simplify]: Extracting #3: cost 7 inf + 0 7.283 * * [simplify]: Extracting #4: cost 10 inf + 0 7.283 * * [simplify]: Extracting #5: cost 14 inf + 0 7.283 * * [simplify]: Extracting #6: cost 11 inf + 43 7.283 * * [simplify]: Extracting #7: cost 9 inf + 125 7.283 * * [simplify]: Extracting #8: cost 5 inf + 572 7.284 * * [simplify]: Extracting #9: cost 1 inf + 1380 7.284 * * [simplify]: Extracting #10: cost 0 inf + 1622 7.285 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.285 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.285 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 7.285 * [simplify]: Simplifying (sqrt (sqrt 1)) 7.286 * * [simplify]: iters left: 2 (3 enodes) 7.291 * * [simplify]: iters left: 1 (11 enodes) 7.294 * * [simplify]: Extracting #0: cost 1 inf + 0 7.294 * * [simplify]: Extracting #1: cost 0 inf + 1 7.294 * [simplify]: Simplified to 1 7.294 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.294 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 7.294 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.294 * * [simplify]: iters left: 6 (8 enodes) 7.298 * * [simplify]: iters left: 5 (25 enodes) 7.301 * * [simplify]: Extracting #0: cost 1 inf + 0 7.301 * * [simplify]: Extracting #1: cost 3 inf + 0 7.301 * * [simplify]: Extracting #2: cost 5 inf + 0 7.301 * * [simplify]: Extracting #3: cost 7 inf + 0 7.301 * * [simplify]: Extracting #4: cost 10 inf + 0 7.301 * * [simplify]: Extracting #5: cost 14 inf + 0 7.301 * * [simplify]: Extracting #6: cost 11 inf + 43 7.301 * * [simplify]: Extracting #7: cost 9 inf + 125 7.301 * * [simplify]: Extracting #8: cost 5 inf + 572 7.302 * * [simplify]: Extracting #9: cost 1 inf + 1380 7.302 * * [simplify]: Extracting #10: cost 0 inf + 1622 7.302 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.302 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.302 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 7.302 * [simplify]: Simplifying (sqrt 1) 7.303 * * [simplify]: iters left: 1 (2 enodes) 7.304 * * [simplify]: Extracting #0: cost 1 inf + 0 7.304 * * [simplify]: Extracting #1: cost 0 inf + 1 7.304 * [simplify]: Simplified to 1 7.304 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.305 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 7.305 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.305 * * [simplify]: iters left: 6 (8 enodes) 7.306 * * [simplify]: iters left: 5 (25 enodes) 7.309 * * [simplify]: Extracting #0: cost 1 inf + 0 7.309 * * [simplify]: Extracting #1: cost 3 inf + 0 7.309 * * [simplify]: Extracting #2: cost 5 inf + 0 7.309 * * [simplify]: Extracting #3: cost 7 inf + 0 7.309 * * [simplify]: Extracting #4: cost 10 inf + 0 7.310 * * [simplify]: Extracting #5: cost 14 inf + 0 7.310 * * [simplify]: Extracting #6: cost 11 inf + 43 7.310 * * [simplify]: Extracting #7: cost 9 inf + 125 7.310 * * [simplify]: Extracting #8: cost 5 inf + 572 7.310 * * [simplify]: Extracting #9: cost 1 inf + 1380 7.310 * * [simplify]: Extracting #10: cost 0 inf + 1622 7.310 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 7.311 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 7.311 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 7.311 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 7.311 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) 7.311 * * [simplify]: iters left: 6 (11 enodes) 7.314 * * [simplify]: iters left: 5 (55 enodes) 7.324 * * [simplify]: iters left: 4 (122 enodes) 7.369 * * [simplify]: iters left: 3 (237 enodes) 7.433 * * [simplify]: iters left: 2 (369 enodes) 7.593 * * [simplify]: Extracting #0: cost 1 inf + 0 7.593 * * [simplify]: Extracting #1: cost 3 inf + 0 7.593 * * [simplify]: Extracting #2: cost 5 inf + 0 7.593 * * [simplify]: Extracting #3: cost 24 inf + 0 7.593 * * [simplify]: Extracting #4: cost 150 inf + 0 7.595 * * [simplify]: Extracting #5: cost 205 inf + 2347 7.601 * * [simplify]: Extracting #6: cost 111 inf + 15919 7.614 * * [simplify]: Extracting #7: cost 7 inf + 34109 7.629 * * [simplify]: Extracting #8: cost 0 inf + 35684 7.641 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) 7.641 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))))) re))))) 7.641 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 7.642 * [simplify]: Simplifying (sqrt (sqrt (- (* re re) (* im im)))) 7.642 * * [simplify]: iters left: 6 (7 enodes) 7.643 * * [simplify]: iters left: 5 (26 enodes) 7.647 * * [simplify]: iters left: 4 (39 enodes) 7.655 * * [simplify]: iters left: 3 (56 enodes) 7.664 * * [simplify]: iters left: 2 (97 enodes) 7.689 * * [simplify]: iters left: 1 (180 enodes) 7.717 * * [simplify]: Extracting #0: cost 1 inf + 0 7.717 * * [simplify]: Extracting #1: cost 3 inf + 0 7.717 * * [simplify]: Extracting #2: cost 5 inf + 0 7.718 * * [simplify]: Extracting #3: cost 25 inf + 0 7.718 * * [simplify]: Extracting #4: cost 59 inf + 0 7.718 * * [simplify]: Extracting #5: cost 53 inf + 290 7.719 * * [simplify]: Extracting #6: cost 20 inf + 3831 7.720 * * [simplify]: Extracting #7: cost 2 inf + 6067 7.722 * * [simplify]: Extracting #8: cost 0 inf + 6311 7.725 * [simplify]: Simplified to (sqrt (sqrt (- (* re re) (* im im)))) 7.725 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 7.725 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 7.725 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) 7.725 * * [simplify]: iters left: 6 (14 enodes) 7.729 * * [simplify]: iters left: 5 (62 enodes) 7.748 * * [simplify]: iters left: 4 (117 enodes) 7.797 * * [simplify]: iters left: 3 (215 enodes) 7.880 * * [simplify]: iters left: 2 (409 enodes) 8.015 * * [simplify]: Extracting #0: cost 1 inf + 0 8.015 * * [simplify]: Extracting #1: cost 4 inf + 0 8.015 * * [simplify]: Extracting #2: cost 8 inf + 0 8.015 * * [simplify]: Extracting #3: cost 12 inf + 0 8.015 * * [simplify]: Extracting #4: cost 18 inf + 0 8.015 * * [simplify]: Extracting #5: cost 75 inf + 0 8.016 * * [simplify]: Extracting #6: cost 171 inf + 632 8.017 * * [simplify]: Extracting #7: cost 162 inf + 4324 8.020 * * [simplify]: Extracting #8: cost 79 inf + 32315 8.025 * * [simplify]: Extracting #9: cost 8 inf + 63125 8.031 * * [simplify]: Extracting #10: cost 0 inf + 67240 8.041 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.041 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re))))) 8.042 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 8.042 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.042 * * [simplify]: iters left: 6 (13 enodes) 8.045 * * [simplify]: iters left: 5 (53 enodes) 8.053 * * [simplify]: iters left: 4 (80 enodes) 8.066 * * [simplify]: iters left: 3 (136 enodes) 8.092 * * [simplify]: iters left: 2 (291 enodes) 8.237 * * [simplify]: Extracting #0: cost 1 inf + 0 8.237 * * [simplify]: Extracting #1: cost 4 inf + 0 8.237 * * [simplify]: Extracting #2: cost 8 inf + 0 8.237 * * [simplify]: Extracting #3: cost 12 inf + 0 8.237 * * [simplify]: Extracting #4: cost 61 inf + 0 8.237 * * [simplify]: Extracting #5: cost 160 inf + 0 8.238 * * [simplify]: Extracting #6: cost 201 inf + 1018 8.242 * * [simplify]: Extracting #7: cost 86 inf + 19610 8.250 * * [simplify]: Extracting #8: cost 8 inf + 36437 8.258 * * [simplify]: Extracting #9: cost 0 inf + 38305 8.266 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 8.266 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 8.266 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 8.266 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 8.266 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 8.267 * [simplify]: Simplifying im 8.267 * * [simplify]: iters left: 0 (1 enodes) 8.267 * * [simplify]: Extracting #0: cost 1 inf + 0 8.267 * * [simplify]: Extracting #1: cost 0 inf + 1 8.267 * [simplify]: Simplified to im 8.267 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re))))) 8.267 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 8.267 * [simplify]: Simplifying re 8.267 * * [simplify]: iters left: 0 (1 enodes) 8.268 * * [simplify]: Extracting #0: cost 1 inf + 0 8.268 * * [simplify]: Extracting #1: cost 0 inf + 1 8.268 * [simplify]: Simplified to re 8.268 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re))))) 8.268 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 8.268 * [simplify]: Simplifying (* -1 re) 8.268 * * [simplify]: iters left: 2 (3 enodes) 8.269 * * [simplify]: iters left: 1 (11 enodes) 8.271 * * [simplify]: Extracting #0: cost 1 inf + 0 8.271 * * [simplify]: Extracting #1: cost 4 inf + 0 8.271 * * [simplify]: Extracting #2: cost 0 inf + 84 8.271 * [simplify]: Simplified to (- re) 8.271 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (- re))) re))))) 8.271 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 8.271 * [simplify]: Simplifying im 8.271 * * [simplify]: iters left: 0 (1 enodes) 8.272 * * [simplify]: Extracting #0: cost 1 inf + 0 8.272 * * [simplify]: Extracting #1: cost 0 inf + 1 8.272 * [simplify]: Simplified to im 8.272 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.272 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 8.272 * [simplify]: Simplifying re 8.272 * * [simplify]: iters left: 0 (1 enodes) 8.272 * * [simplify]: Extracting #0: cost 1 inf + 0 8.272 * * [simplify]: Extracting #1: cost 0 inf + 1 8.272 * [simplify]: Simplified to re 8.272 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.272 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 8.273 * [simplify]: Simplifying (* -1 re) 8.273 * * [simplify]: iters left: 2 (3 enodes) 8.274 * * [simplify]: iters left: 1 (11 enodes) 8.276 * * [simplify]: Extracting #0: cost 1 inf + 0 8.276 * * [simplify]: Extracting #1: cost 4 inf + 0 8.276 * * [simplify]: Extracting #2: cost 0 inf + 84 8.277 * [simplify]: Simplified to (- re) 8.277 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (- re)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.277 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 8.277 * [simplify]: Simplifying (- im re) 8.277 * * [simplify]: iters left: 2 (3 enodes) 8.278 * * [simplify]: iters left: 1 (11 enodes) 8.281 * * [simplify]: Extracting #0: cost 1 inf + 0 8.281 * * [simplify]: Extracting #1: cost 5 inf + 0 8.282 * * [simplify]: Extracting #2: cost 3 inf + 43 8.282 * * [simplify]: Extracting #3: cost 0 inf + 168 8.282 * [simplify]: Simplified to (- im re) 8.282 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 8.282 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 8.282 * [simplify]: Simplifying 0 8.282 * * [simplify]: iters left: 0 (1 enodes) 8.283 * * [simplify]: Extracting #0: cost 1 inf + 0 8.283 * * [simplify]: Extracting #1: cost 0 inf + 1 8.283 * [simplify]: Simplified to 0 8.283 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 8.284 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 8.284 * [simplify]: Simplifying (* -2 re) 8.284 * * [simplify]: iters left: 2 (3 enodes) 8.286 * * [simplify]: iters left: 1 (10 enodes) 8.289 * * [simplify]: Extracting #0: cost 1 inf + 0 8.289 * * [simplify]: Extracting #1: cost 4 inf + 0 8.289 * * [simplify]: Extracting #2: cost 2 inf + 2 8.289 * * [simplify]: Extracting #3: cost 0 inf + 86 8.289 * [simplify]: Simplified to (* -2 re) 8.289 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 8.289 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 8.289 * [simplify]: Simplifying im 8.290 * * [simplify]: iters left: 0 (1 enodes) 8.290 * * [simplify]: Extracting #0: cost 1 inf + 0 8.290 * * [simplify]: Extracting #1: cost 0 inf + 1 8.290 * [simplify]: Simplified to im 8.290 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 8.290 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 8.290 * [simplify]: Simplifying re 8.291 * * [simplify]: iters left: 0 (1 enodes) 8.291 * * [simplify]: Extracting #0: cost 1 inf + 0 8.291 * * [simplify]: Extracting #1: cost 0 inf + 1 8.291 * [simplify]: Simplified to re 8.291 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re))))) 8.291 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 8.291 * [simplify]: Simplifying (* -1 re) 8.291 * * [simplify]: iters left: 2 (3 enodes) 8.293 * * [simplify]: iters left: 1 (11 enodes) 8.296 * * [simplify]: Extracting #0: cost 1 inf + 0 8.297 * * [simplify]: Extracting #1: cost 4 inf + 0 8.297 * * [simplify]: Extracting #2: cost 0 inf + 84 8.297 * [simplify]: Simplified to (- re) 8.297 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re))))) 8.297 * * * [progress]: adding candidates to table 10.109 * * [progress]: iteration 3 / 4 10.109 * * * [progress]: picking best candidate 10.206 * * * * [pick]: Picked # 10.206 * * * [progress]: localizing error 10.246 * * * [progress]: generating rewritten candidates 10.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 10.252 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 10.258 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1) 10.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 10.275 * * * [progress]: generating series expansions 10.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1) 10.275 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.275 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.275 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.275 * [taylor]: Taking taylor expansion of im in im 10.276 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify 1 into 1 10.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.276 * [taylor]: Taking taylor expansion of re in im 10.276 * [backup-simplify]: Simplify re into re 10.276 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.276 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.276 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.276 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.276 * [backup-simplify]: Simplify (+ 0 0) into 0 10.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.276 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.276 * [taylor]: Taking taylor expansion of im in re 10.276 * [backup-simplify]: Simplify im into im 10.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.277 * [taylor]: Taking taylor expansion of re in re 10.277 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify 1 into 1 10.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.277 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.277 * [backup-simplify]: Simplify (+ 0 0) into 0 10.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.277 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.277 * [taylor]: Taking taylor expansion of im in re 10.277 * [backup-simplify]: Simplify im into im 10.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.277 * [taylor]: Taking taylor expansion of re in re 10.277 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify 1 into 1 10.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.277 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.278 * [backup-simplify]: Simplify (+ 0 0) into 0 10.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.278 * [taylor]: Taking taylor expansion of im in im 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [taylor]: Taking taylor expansion of 0 in im 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.278 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.278 * [backup-simplify]: Simplify (* 1 1) into 1 10.279 * [backup-simplify]: Simplify (+ 0 1) into 1 10.279 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.279 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.279 * [taylor]: Taking taylor expansion of 1/2 in im 10.279 * [backup-simplify]: Simplify 1/2 into 1/2 10.279 * [taylor]: Taking taylor expansion of im in im 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.282 * [backup-simplify]: Simplify (+ 0 0) into 0 10.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.282 * [taylor]: Taking taylor expansion of 0 in im 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.283 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.283 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.283 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.283 * [taylor]: Taking taylor expansion of re in im 10.283 * [backup-simplify]: Simplify re into re 10.283 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.283 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.283 * [taylor]: Taking taylor expansion of im in im 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 1 into 1 10.283 * [backup-simplify]: Simplify (* 1 1) into 1 10.283 * [backup-simplify]: Simplify (/ 1 1) into 1 10.284 * [backup-simplify]: Simplify (+ 0 1) into 1 10.284 * [backup-simplify]: Simplify (sqrt 1) into 1 10.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.285 * [backup-simplify]: Simplify (+ 0 0) into 0 10.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.286 * [taylor]: Taking taylor expansion of re in re 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify 1 into 1 10.286 * [backup-simplify]: Simplify (* 1 1) into 1 10.286 * [backup-simplify]: Simplify (/ 1 1) into 1 10.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.286 * [taylor]: Taking taylor expansion of im in re 10.286 * [backup-simplify]: Simplify im into im 10.286 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.286 * [backup-simplify]: Simplify (+ 1 0) into 1 10.287 * [backup-simplify]: Simplify (sqrt 1) into 1 10.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.288 * [backup-simplify]: Simplify (+ 0 0) into 0 10.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.288 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.288 * [taylor]: Taking taylor expansion of re in re 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 1 into 1 10.288 * [backup-simplify]: Simplify (* 1 1) into 1 10.289 * [backup-simplify]: Simplify (/ 1 1) into 1 10.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.289 * [taylor]: Taking taylor expansion of im in re 10.289 * [backup-simplify]: Simplify im into im 10.289 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.289 * [backup-simplify]: Simplify (+ 1 0) into 1 10.289 * [backup-simplify]: Simplify (sqrt 1) into 1 10.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.290 * [backup-simplify]: Simplify (+ 0 0) into 0 10.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.291 * [taylor]: Taking taylor expansion of 1 in im 10.291 * [backup-simplify]: Simplify 1 into 1 10.291 * [taylor]: Taking taylor expansion of 0 in im 10.291 * [backup-simplify]: Simplify 0 into 0 10.291 * [backup-simplify]: Simplify 1 into 1 10.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.292 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.293 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.293 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.293 * [taylor]: Taking taylor expansion of 1/2 in im 10.293 * [backup-simplify]: Simplify 1/2 into 1/2 10.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.293 * [taylor]: Taking taylor expansion of im in im 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 1 into 1 10.293 * [backup-simplify]: Simplify (* 1 1) into 1 10.294 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.295 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.297 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.297 * [backup-simplify]: Simplify (+ 0 0) into 0 10.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.298 * [taylor]: Taking taylor expansion of 0 in im 10.298 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.301 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.301 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.301 * [taylor]: Taking taylor expansion of re in im 10.301 * [backup-simplify]: Simplify re into re 10.301 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.301 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.301 * [taylor]: Taking taylor expansion of im in im 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 1 into 1 10.301 * [backup-simplify]: Simplify (* 1 1) into 1 10.302 * [backup-simplify]: Simplify (/ 1 1) into 1 10.302 * [backup-simplify]: Simplify (+ 0 1) into 1 10.303 * [backup-simplify]: Simplify (sqrt 1) into 1 10.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.305 * [backup-simplify]: Simplify (+ 0 0) into 0 10.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.305 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.305 * [taylor]: Taking taylor expansion of re in re 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify 1 into 1 10.306 * [backup-simplify]: Simplify (* 1 1) into 1 10.306 * [backup-simplify]: Simplify (/ 1 1) into 1 10.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.306 * [taylor]: Taking taylor expansion of im in re 10.306 * [backup-simplify]: Simplify im into im 10.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.307 * [backup-simplify]: Simplify (+ 1 0) into 1 10.307 * [backup-simplify]: Simplify (sqrt 1) into 1 10.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.309 * [backup-simplify]: Simplify (+ 0 0) into 0 10.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.310 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.310 * [taylor]: Taking taylor expansion of re in re 10.310 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify 1 into 1 10.310 * [backup-simplify]: Simplify (* 1 1) into 1 10.311 * [backup-simplify]: Simplify (/ 1 1) into 1 10.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.311 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.311 * [taylor]: Taking taylor expansion of im in re 10.311 * [backup-simplify]: Simplify im into im 10.311 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.311 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.312 * [backup-simplify]: Simplify (+ 1 0) into 1 10.312 * [backup-simplify]: Simplify (sqrt 1) into 1 10.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.314 * [backup-simplify]: Simplify (+ 0 0) into 0 10.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.315 * [taylor]: Taking taylor expansion of 1 in im 10.315 * [backup-simplify]: Simplify 1 into 1 10.315 * [taylor]: Taking taylor expansion of 0 in im 10.315 * [backup-simplify]: Simplify 0 into 0 10.315 * [backup-simplify]: Simplify 1 into 1 10.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.317 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.318 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.318 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.318 * [taylor]: Taking taylor expansion of 1/2 in im 10.318 * [backup-simplify]: Simplify 1/2 into 1/2 10.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.318 * [taylor]: Taking taylor expansion of im in im 10.318 * [backup-simplify]: Simplify 0 into 0 10.318 * [backup-simplify]: Simplify 1 into 1 10.319 * [backup-simplify]: Simplify (* 1 1) into 1 10.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.324 * [backup-simplify]: Simplify (+ 0 0) into 0 10.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.324 * [taylor]: Taking taylor expansion of 0 in im 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.326 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 10.327 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.327 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.327 * [taylor]: Taking taylor expansion of im in im 10.327 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify 1 into 1 10.327 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.327 * [taylor]: Taking taylor expansion of re in im 10.327 * [backup-simplify]: Simplify re into re 10.327 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.327 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.328 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.328 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.328 * [backup-simplify]: Simplify (+ 0 0) into 0 10.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.328 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.328 * [taylor]: Taking taylor expansion of im in re 10.328 * [backup-simplify]: Simplify im into im 10.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.328 * [taylor]: Taking taylor expansion of re in re 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.329 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.329 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.329 * [backup-simplify]: Simplify (+ 0 0) into 0 10.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.329 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.329 * [taylor]: Taking taylor expansion of im in re 10.329 * [backup-simplify]: Simplify im into im 10.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.329 * [taylor]: Taking taylor expansion of re in re 10.329 * [backup-simplify]: Simplify 0 into 0 10.329 * [backup-simplify]: Simplify 1 into 1 10.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.330 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.330 * [backup-simplify]: Simplify (+ 0 0) into 0 10.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.331 * [taylor]: Taking taylor expansion of im in im 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 1 into 1 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [taylor]: Taking taylor expansion of 0 in im 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 1 into 1 10.331 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.332 * [backup-simplify]: Simplify (* 1 1) into 1 10.332 * [backup-simplify]: Simplify (+ 0 1) into 1 10.333 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.333 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.333 * [taylor]: Taking taylor expansion of 1/2 in im 10.333 * [backup-simplify]: Simplify 1/2 into 1/2 10.333 * [taylor]: Taking taylor expansion of im in im 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify 1 into 1 10.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.336 * [backup-simplify]: Simplify (+ 0 0) into 0 10.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.337 * [taylor]: Taking taylor expansion of 0 in im 10.337 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.338 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.338 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.338 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.338 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.338 * [taylor]: Taking taylor expansion of re in im 10.338 * [backup-simplify]: Simplify re into re 10.338 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.339 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.339 * [taylor]: Taking taylor expansion of im in im 10.339 * [backup-simplify]: Simplify 0 into 0 10.339 * [backup-simplify]: Simplify 1 into 1 10.339 * [backup-simplify]: Simplify (* 1 1) into 1 10.339 * [backup-simplify]: Simplify (/ 1 1) into 1 10.340 * [backup-simplify]: Simplify (+ 0 1) into 1 10.340 * [backup-simplify]: Simplify (sqrt 1) into 1 10.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.342 * [backup-simplify]: Simplify (+ 0 0) into 0 10.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.343 * [taylor]: Taking taylor expansion of re in re 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify 1 into 1 10.343 * [backup-simplify]: Simplify (* 1 1) into 1 10.344 * [backup-simplify]: Simplify (/ 1 1) into 1 10.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.344 * [taylor]: Taking taylor expansion of im in re 10.344 * [backup-simplify]: Simplify im into im 10.344 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.344 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.344 * [backup-simplify]: Simplify (+ 1 0) into 1 10.345 * [backup-simplify]: Simplify (sqrt 1) into 1 10.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.346 * [backup-simplify]: Simplify (+ 0 0) into 0 10.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.347 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.347 * [taylor]: Taking taylor expansion of re in re 10.347 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify 1 into 1 10.348 * [backup-simplify]: Simplify (* 1 1) into 1 10.348 * [backup-simplify]: Simplify (/ 1 1) into 1 10.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.348 * [taylor]: Taking taylor expansion of im in re 10.348 * [backup-simplify]: Simplify im into im 10.348 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.348 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.349 * [backup-simplify]: Simplify (+ 1 0) into 1 10.349 * [backup-simplify]: Simplify (sqrt 1) into 1 10.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.351 * [backup-simplify]: Simplify (+ 0 0) into 0 10.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.352 * [taylor]: Taking taylor expansion of 1 in im 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [taylor]: Taking taylor expansion of 0 in im 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.354 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.355 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.355 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.355 * [taylor]: Taking taylor expansion of 1/2 in im 10.355 * [backup-simplify]: Simplify 1/2 into 1/2 10.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.355 * [taylor]: Taking taylor expansion of im in im 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 1 into 1 10.355 * [backup-simplify]: Simplify (* 1 1) into 1 10.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [backup-simplify]: Simplify 0 into 0 10.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.358 * [backup-simplify]: Simplify (+ 0 0) into 0 10.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.358 * [taylor]: Taking taylor expansion of 0 in im 10.358 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.360 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.360 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.360 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.360 * [taylor]: Taking taylor expansion of re in im 10.360 * [backup-simplify]: Simplify re into re 10.360 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.360 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.360 * [taylor]: Taking taylor expansion of im in im 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 1 into 1 10.360 * [backup-simplify]: Simplify (* 1 1) into 1 10.361 * [backup-simplify]: Simplify (/ 1 1) into 1 10.361 * [backup-simplify]: Simplify (+ 0 1) into 1 10.361 * [backup-simplify]: Simplify (sqrt 1) into 1 10.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.362 * [backup-simplify]: Simplify (+ 0 0) into 0 10.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.363 * [taylor]: Taking taylor expansion of re in re 10.363 * [backup-simplify]: Simplify 0 into 0 10.363 * [backup-simplify]: Simplify 1 into 1 10.363 * [backup-simplify]: Simplify (* 1 1) into 1 10.363 * [backup-simplify]: Simplify (/ 1 1) into 1 10.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.363 * [taylor]: Taking taylor expansion of im in re 10.363 * [backup-simplify]: Simplify im into im 10.363 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.364 * [backup-simplify]: Simplify (+ 1 0) into 1 10.364 * [backup-simplify]: Simplify (sqrt 1) into 1 10.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.365 * [backup-simplify]: Simplify (+ 0 0) into 0 10.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.365 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.365 * [taylor]: Taking taylor expansion of re in re 10.365 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify 1 into 1 10.366 * [backup-simplify]: Simplify (* 1 1) into 1 10.366 * [backup-simplify]: Simplify (/ 1 1) into 1 10.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.366 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.366 * [taylor]: Taking taylor expansion of im in re 10.366 * [backup-simplify]: Simplify im into im 10.366 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.366 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.366 * [backup-simplify]: Simplify (+ 1 0) into 1 10.367 * [backup-simplify]: Simplify (sqrt 1) into 1 10.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.368 * [backup-simplify]: Simplify (+ 0 0) into 0 10.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.368 * [taylor]: Taking taylor expansion of 1 in im 10.368 * [backup-simplify]: Simplify 1 into 1 10.368 * [taylor]: Taking taylor expansion of 0 in im 10.368 * [backup-simplify]: Simplify 0 into 0 10.368 * [backup-simplify]: Simplify 1 into 1 10.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.369 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.370 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.370 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.370 * [taylor]: Taking taylor expansion of 1/2 in im 10.370 * [backup-simplify]: Simplify 1/2 into 1/2 10.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.370 * [taylor]: Taking taylor expansion of im in im 10.370 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify 1 into 1 10.370 * [backup-simplify]: Simplify (* 1 1) into 1 10.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.372 * [backup-simplify]: Simplify 0 into 0 10.372 * [backup-simplify]: Simplify 0 into 0 10.372 * [backup-simplify]: Simplify 0 into 0 10.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.373 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.373 * [backup-simplify]: Simplify (+ 0 0) into 0 10.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.374 * [taylor]: Taking taylor expansion of 0 in im 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1) 10.375 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.375 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.375 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.375 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.375 * [taylor]: Taking taylor expansion of im in im 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 1 into 1 10.375 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.375 * [taylor]: Taking taylor expansion of re in im 10.375 * [backup-simplify]: Simplify re into re 10.375 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.375 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.375 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.375 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.376 * [backup-simplify]: Simplify (+ 0 0) into 0 10.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.376 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.376 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.376 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.376 * [taylor]: Taking taylor expansion of im in re 10.376 * [backup-simplify]: Simplify im into im 10.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.376 * [taylor]: Taking taylor expansion of re in re 10.376 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify 1 into 1 10.376 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.376 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.376 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.376 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.376 * [backup-simplify]: Simplify (+ 0 0) into 0 10.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.376 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.376 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.377 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.377 * [taylor]: Taking taylor expansion of im in re 10.377 * [backup-simplify]: Simplify im into im 10.377 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.377 * [taylor]: Taking taylor expansion of re in re 10.377 * [backup-simplify]: Simplify 0 into 0 10.377 * [backup-simplify]: Simplify 1 into 1 10.377 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.377 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.377 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.377 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.377 * [backup-simplify]: Simplify (+ 0 0) into 0 10.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.377 * [taylor]: Taking taylor expansion of im in im 10.377 * [backup-simplify]: Simplify 0 into 0 10.377 * [backup-simplify]: Simplify 1 into 1 10.377 * [backup-simplify]: Simplify 0 into 0 10.377 * [taylor]: Taking taylor expansion of 0 in im 10.377 * [backup-simplify]: Simplify 0 into 0 10.377 * [backup-simplify]: Simplify 0 into 0 10.377 * [backup-simplify]: Simplify 1 into 1 10.378 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.378 * [backup-simplify]: Simplify (* 1 1) into 1 10.378 * [backup-simplify]: Simplify (+ 0 1) into 1 10.379 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.379 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.379 * [taylor]: Taking taylor expansion of 1/2 in im 10.379 * [backup-simplify]: Simplify 1/2 into 1/2 10.379 * [taylor]: Taking taylor expansion of im in im 10.379 * [backup-simplify]: Simplify 0 into 0 10.379 * [backup-simplify]: Simplify 1 into 1 10.379 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.379 * [backup-simplify]: Simplify 0 into 0 10.380 * [backup-simplify]: Simplify 0 into 0 10.380 * [backup-simplify]: Simplify 0 into 0 10.380 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.381 * [backup-simplify]: Simplify (+ 0 0) into 0 10.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.381 * [taylor]: Taking taylor expansion of 0 in im 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.382 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.382 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.382 * [taylor]: Taking taylor expansion of re in im 10.382 * [backup-simplify]: Simplify re into re 10.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.382 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.382 * [taylor]: Taking taylor expansion of im in im 10.382 * [backup-simplify]: Simplify 0 into 0 10.382 * [backup-simplify]: Simplify 1 into 1 10.382 * [backup-simplify]: Simplify (* 1 1) into 1 10.382 * [backup-simplify]: Simplify (/ 1 1) into 1 10.383 * [backup-simplify]: Simplify (+ 0 1) into 1 10.383 * [backup-simplify]: Simplify (sqrt 1) into 1 10.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.384 * [backup-simplify]: Simplify (+ 0 0) into 0 10.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.384 * [taylor]: Taking taylor expansion of re in re 10.384 * [backup-simplify]: Simplify 0 into 0 10.384 * [backup-simplify]: Simplify 1 into 1 10.385 * [backup-simplify]: Simplify (* 1 1) into 1 10.385 * [backup-simplify]: Simplify (/ 1 1) into 1 10.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.385 * [taylor]: Taking taylor expansion of im in re 10.385 * [backup-simplify]: Simplify im into im 10.385 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.391 * [backup-simplify]: Simplify (+ 1 0) into 1 10.392 * [backup-simplify]: Simplify (sqrt 1) into 1 10.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.394 * [backup-simplify]: Simplify (+ 0 0) into 0 10.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.395 * [taylor]: Taking taylor expansion of re in re 10.395 * [backup-simplify]: Simplify 0 into 0 10.395 * [backup-simplify]: Simplify 1 into 1 10.395 * [backup-simplify]: Simplify (* 1 1) into 1 10.396 * [backup-simplify]: Simplify (/ 1 1) into 1 10.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.396 * [taylor]: Taking taylor expansion of im in re 10.396 * [backup-simplify]: Simplify im into im 10.396 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.396 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.397 * [backup-simplify]: Simplify (+ 1 0) into 1 10.397 * [backup-simplify]: Simplify (sqrt 1) into 1 10.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.399 * [backup-simplify]: Simplify (+ 0 0) into 0 10.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.400 * [taylor]: Taking taylor expansion of 1 in im 10.400 * [backup-simplify]: Simplify 1 into 1 10.400 * [taylor]: Taking taylor expansion of 0 in im 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 1 into 1 10.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.403 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.403 * [taylor]: Taking taylor expansion of 1/2 in im 10.403 * [backup-simplify]: Simplify 1/2 into 1/2 10.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.403 * [taylor]: Taking taylor expansion of im in im 10.403 * [backup-simplify]: Simplify 0 into 0 10.403 * [backup-simplify]: Simplify 1 into 1 10.404 * [backup-simplify]: Simplify (* 1 1) into 1 10.404 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.409 * [backup-simplify]: Simplify (+ 0 0) into 0 10.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.409 * [taylor]: Taking taylor expansion of 0 in im 10.409 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.411 * [backup-simplify]: Simplify 0 into 0 10.411 * [backup-simplify]: Simplify 0 into 0 10.411 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.412 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.412 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.412 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.412 * [taylor]: Taking taylor expansion of re in im 10.412 * [backup-simplify]: Simplify re into re 10.412 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.412 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.412 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.412 * [taylor]: Taking taylor expansion of im in im 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify 1 into 1 10.413 * [backup-simplify]: Simplify (* 1 1) into 1 10.413 * [backup-simplify]: Simplify (/ 1 1) into 1 10.414 * [backup-simplify]: Simplify (+ 0 1) into 1 10.414 * [backup-simplify]: Simplify (sqrt 1) into 1 10.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.416 * [backup-simplify]: Simplify (+ 0 0) into 0 10.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.417 * [taylor]: Taking taylor expansion of re in re 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [backup-simplify]: Simplify (* 1 1) into 1 10.417 * [backup-simplify]: Simplify (/ 1 1) into 1 10.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.417 * [taylor]: Taking taylor expansion of im in re 10.417 * [backup-simplify]: Simplify im into im 10.417 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.418 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.418 * [backup-simplify]: Simplify (+ 1 0) into 1 10.418 * [backup-simplify]: Simplify (sqrt 1) into 1 10.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.419 * [backup-simplify]: Simplify (+ 0 0) into 0 10.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.420 * [taylor]: Taking taylor expansion of re in re 10.420 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify 1 into 1 10.420 * [backup-simplify]: Simplify (* 1 1) into 1 10.420 * [backup-simplify]: Simplify (/ 1 1) into 1 10.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.420 * [taylor]: Taking taylor expansion of im in re 10.420 * [backup-simplify]: Simplify im into im 10.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.421 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.421 * [backup-simplify]: Simplify (+ 1 0) into 1 10.421 * [backup-simplify]: Simplify (sqrt 1) into 1 10.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.422 * [backup-simplify]: Simplify (+ 0 0) into 0 10.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.423 * [taylor]: Taking taylor expansion of 1 in im 10.423 * [backup-simplify]: Simplify 1 into 1 10.423 * [taylor]: Taking taylor expansion of 0 in im 10.423 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify 1 into 1 10.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.424 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.425 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.425 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.425 * [taylor]: Taking taylor expansion of 1/2 in im 10.425 * [backup-simplify]: Simplify 1/2 into 1/2 10.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.425 * [taylor]: Taking taylor expansion of im in im 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.426 * [backup-simplify]: Simplify (* 1 1) into 1 10.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.428 * [backup-simplify]: Simplify (+ 0 0) into 0 10.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.429 * [taylor]: Taking taylor expansion of 0 in im 10.429 * [backup-simplify]: Simplify 0 into 0 10.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.430 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 10.430 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.430 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.430 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.430 * [taylor]: Taking taylor expansion of im in im 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 1 into 1 10.430 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.430 * [taylor]: Taking taylor expansion of re in im 10.430 * [backup-simplify]: Simplify re into re 10.430 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.430 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.431 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.431 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.431 * [backup-simplify]: Simplify (+ 0 0) into 0 10.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.431 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.431 * [taylor]: Taking taylor expansion of im in re 10.431 * [backup-simplify]: Simplify im into im 10.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.431 * [taylor]: Taking taylor expansion of re in re 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify 1 into 1 10.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.431 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.431 * [backup-simplify]: Simplify (+ 0 0) into 0 10.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.432 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.432 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.432 * [taylor]: Taking taylor expansion of im in re 10.432 * [backup-simplify]: Simplify im into im 10.432 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.432 * [taylor]: Taking taylor expansion of re in re 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 1 into 1 10.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.432 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.432 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.432 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.432 * [backup-simplify]: Simplify (+ 0 0) into 0 10.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.432 * [taylor]: Taking taylor expansion of im in im 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 1 into 1 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [taylor]: Taking taylor expansion of 0 in im 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 1 into 1 10.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.433 * [backup-simplify]: Simplify (* 1 1) into 1 10.433 * [backup-simplify]: Simplify (+ 0 1) into 1 10.434 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.434 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.434 * [taylor]: Taking taylor expansion of 1/2 in im 10.434 * [backup-simplify]: Simplify 1/2 into 1/2 10.434 * [taylor]: Taking taylor expansion of im in im 10.434 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify 1 into 1 10.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.436 * [backup-simplify]: Simplify (+ 0 0) into 0 10.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.436 * [taylor]: Taking taylor expansion of 0 in im 10.436 * [backup-simplify]: Simplify 0 into 0 10.436 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.437 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.437 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.437 * [taylor]: Taking taylor expansion of re in im 10.437 * [backup-simplify]: Simplify re into re 10.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.437 * [taylor]: Taking taylor expansion of im in im 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 1 into 1 10.437 * [backup-simplify]: Simplify (* 1 1) into 1 10.438 * [backup-simplify]: Simplify (/ 1 1) into 1 10.438 * [backup-simplify]: Simplify (+ 0 1) into 1 10.438 * [backup-simplify]: Simplify (sqrt 1) into 1 10.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.439 * [backup-simplify]: Simplify (+ 0 0) into 0 10.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.440 * [taylor]: Taking taylor expansion of re in re 10.440 * [backup-simplify]: Simplify 0 into 0 10.440 * [backup-simplify]: Simplify 1 into 1 10.440 * [backup-simplify]: Simplify (* 1 1) into 1 10.440 * [backup-simplify]: Simplify (/ 1 1) into 1 10.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.440 * [taylor]: Taking taylor expansion of im in re 10.440 * [backup-simplify]: Simplify im into im 10.440 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.441 * [backup-simplify]: Simplify (+ 1 0) into 1 10.441 * [backup-simplify]: Simplify (sqrt 1) into 1 10.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.442 * [backup-simplify]: Simplify (+ 0 0) into 0 10.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.443 * [taylor]: Taking taylor expansion of re in re 10.443 * [backup-simplify]: Simplify 0 into 0 10.443 * [backup-simplify]: Simplify 1 into 1 10.443 * [backup-simplify]: Simplify (* 1 1) into 1 10.443 * [backup-simplify]: Simplify (/ 1 1) into 1 10.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.443 * [taylor]: Taking taylor expansion of im in re 10.443 * [backup-simplify]: Simplify im into im 10.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.444 * [backup-simplify]: Simplify (+ 1 0) into 1 10.444 * [backup-simplify]: Simplify (sqrt 1) into 1 10.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.445 * [backup-simplify]: Simplify (+ 0 0) into 0 10.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.446 * [taylor]: Taking taylor expansion of 1 in im 10.446 * [backup-simplify]: Simplify 1 into 1 10.446 * [taylor]: Taking taylor expansion of 0 in im 10.446 * [backup-simplify]: Simplify 0 into 0 10.446 * [backup-simplify]: Simplify 1 into 1 10.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.447 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.449 * [taylor]: Taking taylor expansion of 1/2 in im 10.449 * [backup-simplify]: Simplify 1/2 into 1/2 10.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.449 * [taylor]: Taking taylor expansion of im in im 10.449 * [backup-simplify]: Simplify 0 into 0 10.449 * [backup-simplify]: Simplify 1 into 1 10.449 * [backup-simplify]: Simplify (* 1 1) into 1 10.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.451 * [backup-simplify]: Simplify 0 into 0 10.452 * [backup-simplify]: Simplify 0 into 0 10.452 * [backup-simplify]: Simplify 0 into 0 10.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.454 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.454 * [backup-simplify]: Simplify (+ 0 0) into 0 10.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.455 * [taylor]: Taking taylor expansion of 0 in im 10.455 * [backup-simplify]: Simplify 0 into 0 10.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.457 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify 0 into 0 10.458 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.458 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.458 * [taylor]: Taking taylor expansion of re in im 10.458 * [backup-simplify]: Simplify re into re 10.458 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.458 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.458 * [taylor]: Taking taylor expansion of im in im 10.458 * [backup-simplify]: Simplify 0 into 0 10.458 * [backup-simplify]: Simplify 1 into 1 10.459 * [backup-simplify]: Simplify (* 1 1) into 1 10.459 * [backup-simplify]: Simplify (/ 1 1) into 1 10.460 * [backup-simplify]: Simplify (+ 0 1) into 1 10.460 * [backup-simplify]: Simplify (sqrt 1) into 1 10.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.462 * [backup-simplify]: Simplify (+ 0 0) into 0 10.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.463 * [taylor]: Taking taylor expansion of re in re 10.463 * [backup-simplify]: Simplify 0 into 0 10.463 * [backup-simplify]: Simplify 1 into 1 10.463 * [backup-simplify]: Simplify (* 1 1) into 1 10.464 * [backup-simplify]: Simplify (/ 1 1) into 1 10.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.464 * [taylor]: Taking taylor expansion of im in re 10.464 * [backup-simplify]: Simplify im into im 10.464 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.464 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.464 * [backup-simplify]: Simplify (+ 1 0) into 1 10.465 * [backup-simplify]: Simplify (sqrt 1) into 1 10.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.466 * [backup-simplify]: Simplify (+ 0 0) into 0 10.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.467 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.467 * [taylor]: Taking taylor expansion of re in re 10.467 * [backup-simplify]: Simplify 0 into 0 10.467 * [backup-simplify]: Simplify 1 into 1 10.468 * [backup-simplify]: Simplify (* 1 1) into 1 10.468 * [backup-simplify]: Simplify (/ 1 1) into 1 10.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.468 * [taylor]: Taking taylor expansion of im in re 10.468 * [backup-simplify]: Simplify im into im 10.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.469 * [backup-simplify]: Simplify (+ 1 0) into 1 10.469 * [backup-simplify]: Simplify (sqrt 1) into 1 10.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.471 * [backup-simplify]: Simplify (+ 0 0) into 0 10.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.471 * [taylor]: Taking taylor expansion of 1 in im 10.471 * [backup-simplify]: Simplify 1 into 1 10.471 * [taylor]: Taking taylor expansion of 0 in im 10.471 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.472 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.473 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.473 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.473 * [taylor]: Taking taylor expansion of 1/2 in im 10.473 * [backup-simplify]: Simplify 1/2 into 1/2 10.473 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.473 * [taylor]: Taking taylor expansion of im in im 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify 1 into 1 10.473 * [backup-simplify]: Simplify (* 1 1) into 1 10.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.476 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.476 * [backup-simplify]: Simplify (+ 0 0) into 0 10.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.477 * [taylor]: Taking taylor expansion of 0 in im 10.477 * [backup-simplify]: Simplify 0 into 0 10.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.478 * [backup-simplify]: Simplify 0 into 0 10.478 * [backup-simplify]: Simplify 0 into 0 10.478 * [backup-simplify]: Simplify 0 into 0 10.478 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.478 * * * [progress]: simplifying candidates 10.478 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 10.478 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 10.478 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 10.478 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 10.478 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 10.478 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 10.478 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 10.479 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 10.479 * * [simplify]: iters left: 6 (8 enodes) 10.480 * * [simplify]: iters left: 5 (26 enodes) 10.484 * * [simplify]: Extracting #0: cost 1 inf + 0 10.484 * * [simplify]: Extracting #1: cost 4 inf + 0 10.484 * * [simplify]: Extracting #2: cost 7 inf + 0 10.484 * * [simplify]: Extracting #3: cost 10 inf + 0 10.484 * * [simplify]: Extracting #4: cost 14 inf + 0 10.484 * * [simplify]: Extracting #5: cost 10 inf + 84 10.484 * * [simplify]: Extracting #6: cost 8 inf + 166 10.484 * * [simplify]: Extracting #7: cost 4 inf + 854 10.484 * * [simplify]: Extracting #8: cost 1 inf + 1540 10.485 * * [simplify]: Extracting #9: cost 0 inf + 1782 10.485 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 10.485 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) re))))) 10.485 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 10.485 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 10.485 * * [simplify]: iters left: 6 (7 enodes) 10.487 * * [simplify]: iters left: 5 (22 enodes) 10.490 * * [simplify]: Extracting #0: cost 1 inf + 0 10.490 * * [simplify]: Extracting #1: cost 3 inf + 0 10.490 * * [simplify]: Extracting #2: cost 5 inf + 0 10.490 * * [simplify]: Extracting #3: cost 8 inf + 0 10.490 * * [simplify]: Extracting #4: cost 12 inf + 0 10.490 * * [simplify]: Extracting #5: cost 10 inf + 2 10.490 * * [simplify]: Extracting #6: cost 1 inf + 936 10.490 * * [simplify]: Extracting #7: cost 0 inf + 1138 10.491 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 10.491 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re))))) 10.491 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 10.491 * [simplify]: Simplifying (sqrt 1) 10.491 * * [simplify]: iters left: 1 (2 enodes) 10.493 * * [simplify]: Extracting #0: cost 1 inf + 0 10.493 * * [simplify]: Extracting #1: cost 0 inf + 1 10.493 * [simplify]: Simplified to 1 10.493 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* 1 (sqrt (+ (* re re) (* im im))))))) re))))) 10.493 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 10.493 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 10.493 * * [simplify]: iters left: 6 (9 enodes) 10.496 * * [simplify]: iters left: 5 (45 enodes) 10.515 * * [simplify]: iters left: 4 (100 enodes) 10.539 * * [simplify]: iters left: 3 (201 enodes) 10.622 * * [simplify]: iters left: 2 (406 enodes) 10.759 * * [simplify]: Extracting #0: cost 1 inf + 0 10.759 * * [simplify]: Extracting #1: cost 3 inf + 0 10.759 * * [simplify]: Extracting #2: cost 6 inf + 0 10.759 * * [simplify]: Extracting #3: cost 62 inf + 0 10.760 * * [simplify]: Extracting #4: cost 166 inf + 460 10.763 * * [simplify]: Extracting #5: cost 131 inf + 12951 10.770 * * [simplify]: Extracting #6: cost 49 inf + 45746 10.781 * * [simplify]: Extracting #7: cost 1 inf + 66256 10.792 * * [simplify]: Extracting #8: cost 0 inf + 65919 10.803 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 10.803 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) re))))) 10.804 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 10.804 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 10.804 * * [simplify]: iters left: 6 (8 enodes) 10.809 * * [simplify]: iters left: 5 (37 enodes) 10.822 * * [simplify]: iters left: 4 (67 enodes) 10.850 * * [simplify]: iters left: 3 (123 enodes) 10.900 * * [simplify]: iters left: 2 (278 enodes) 11.042 * * [simplify]: Extracting #0: cost 1 inf + 0 11.042 * * [simplify]: Extracting #1: cost 3 inf + 0 11.042 * * [simplify]: Extracting #2: cost 50 inf + 0 11.043 * * [simplify]: Extracting #3: cost 150 inf + 0 11.047 * * [simplify]: Extracting #4: cost 194 inf + 1180 11.050 * * [simplify]: Extracting #5: cost 123 inf + 12421 11.056 * * [simplify]: Extracting #6: cost 12 inf + 33804 11.066 * * [simplify]: Extracting #7: cost 0 inf + 36129 11.078 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 11.078 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) re))))) 11.079 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 11.079 * [simplify]: Simplifying (+ (* re re) (* im im)) 11.079 * * [simplify]: iters left: 4 (5 enodes) 11.080 * * [simplify]: iters left: 3 (16 enodes) 11.082 * * [simplify]: Extracting #0: cost 1 inf + 0 11.082 * * [simplify]: Extracting #1: cost 4 inf + 0 11.082 * * [simplify]: Extracting #2: cost 8 inf + 0 11.082 * * [simplify]: Extracting #3: cost 4 inf + 84 11.083 * * [simplify]: Extracting #4: cost 0 inf + 410 11.083 * [simplify]: Simplified to (+ (* re re) (* im im)) 11.083 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))))) re))))) 11.083 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 11.083 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 11.083 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 11.083 * * [simplify]: iters left: 5 (6 enodes) 11.084 * * [simplify]: iters left: 4 (19 enodes) 11.087 * * [simplify]: Extracting #0: cost 1 inf + 0 11.087 * * [simplify]: Extracting #1: cost 3 inf + 0 11.087 * * [simplify]: Extracting #2: cost 6 inf + 0 11.087 * * [simplify]: Extracting #3: cost 10 inf + 0 11.087 * * [simplify]: Extracting #4: cost 6 inf + 84 11.087 * * [simplify]: Extracting #5: cost 0 inf + 734 11.087 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 11.087 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (fabs (sqrt (+ (* re re) (* im im))))))) re))))) 11.087 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 11.088 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))> 11.088 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 11.088 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 11.088 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 11.088 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 11.088 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 11.088 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 11.088 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 11.088 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 11.088 * * [simplify]: iters left: 6 (8 enodes) 11.090 * * [simplify]: iters left: 5 (26 enodes) 11.093 * * [simplify]: Extracting #0: cost 1 inf + 0 11.093 * * [simplify]: Extracting #1: cost 4 inf + 0 11.093 * * [simplify]: Extracting #2: cost 7 inf + 0 11.093 * * [simplify]: Extracting #3: cost 10 inf + 0 11.093 * * [simplify]: Extracting #4: cost 14 inf + 0 11.093 * * [simplify]: Extracting #5: cost 10 inf + 84 11.093 * * [simplify]: Extracting #6: cost 8 inf + 166 11.094 * * [simplify]: Extracting #7: cost 4 inf + 854 11.094 * * [simplify]: Extracting #8: cost 1 inf + 1540 11.094 * * [simplify]: Extracting #9: cost 0 inf + 1782 11.094 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 11.094 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.095 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 11.095 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 11.095 * * [simplify]: iters left: 6 (7 enodes) 11.096 * * [simplify]: iters left: 5 (22 enodes) 11.099 * * [simplify]: Extracting #0: cost 1 inf + 0 11.099 * * [simplify]: Extracting #1: cost 3 inf + 0 11.099 * * [simplify]: Extracting #2: cost 5 inf + 0 11.099 * * [simplify]: Extracting #3: cost 8 inf + 0 11.099 * * [simplify]: Extracting #4: cost 12 inf + 0 11.099 * * [simplify]: Extracting #5: cost 10 inf + 2 11.100 * * [simplify]: Extracting #6: cost 1 inf + 936 11.100 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.100 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 11.100 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.100 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 11.100 * [simplify]: Simplifying (sqrt 1) 11.100 * * [simplify]: iters left: 1 (2 enodes) 11.102 * * [simplify]: Extracting #0: cost 1 inf + 0 11.102 * * [simplify]: Extracting #1: cost 0 inf + 1 11.102 * [simplify]: Simplified to 1 11.103 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.103 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 11.103 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 11.103 * * [simplify]: iters left: 6 (9 enodes) 11.106 * * [simplify]: iters left: 5 (45 enodes) 11.126 * * [simplify]: iters left: 4 (100 enodes) 11.165 * * [simplify]: iters left: 3 (201 enodes) 11.230 * * [simplify]: iters left: 2 (406 enodes) 11.411 * * [simplify]: Extracting #0: cost 1 inf + 0 11.411 * * [simplify]: Extracting #1: cost 3 inf + 0 11.411 * * [simplify]: Extracting #2: cost 6 inf + 0 11.411 * * [simplify]: Extracting #3: cost 62 inf + 0 11.412 * * [simplify]: Extracting #4: cost 166 inf + 460 11.415 * * [simplify]: Extracting #5: cost 131 inf + 12951 11.423 * * [simplify]: Extracting #6: cost 49 inf + 45746 11.434 * * [simplify]: Extracting #7: cost 1 inf + 66256 11.439 * * [simplify]: Extracting #8: cost 0 inf + 65919 11.445 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 11.445 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.445 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 11.446 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 11.446 * * [simplify]: iters left: 6 (8 enodes) 11.448 * * [simplify]: iters left: 5 (37 enodes) 11.454 * * [simplify]: iters left: 4 (67 enodes) 11.469 * * [simplify]: iters left: 3 (123 enodes) 11.524 * * [simplify]: iters left: 2 (278 enodes) 11.632 * * [simplify]: Extracting #0: cost 1 inf + 0 11.632 * * [simplify]: Extracting #1: cost 3 inf + 0 11.632 * * [simplify]: Extracting #2: cost 50 inf + 0 11.633 * * [simplify]: Extracting #3: cost 150 inf + 0 11.634 * * [simplify]: Extracting #4: cost 194 inf + 1180 11.639 * * [simplify]: Extracting #5: cost 123 inf + 12421 11.652 * * [simplify]: Extracting #6: cost 12 inf + 33804 11.672 * * [simplify]: Extracting #7: cost 0 inf + 36129 11.687 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 11.687 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.687 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 11.688 * [simplify]: Simplifying (+ (* re re) (* im im)) 11.688 * * [simplify]: iters left: 4 (5 enodes) 11.690 * * [simplify]: iters left: 3 (16 enodes) 11.694 * * [simplify]: Extracting #0: cost 1 inf + 0 11.694 * * [simplify]: Extracting #1: cost 4 inf + 0 11.695 * * [simplify]: Extracting #2: cost 8 inf + 0 11.695 * * [simplify]: Extracting #3: cost 4 inf + 84 11.695 * * [simplify]: Extracting #4: cost 0 inf + 410 11.695 * [simplify]: Simplified to (+ (* re re) (* im im)) 11.695 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.695 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 11.696 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 11.696 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 11.696 * * [simplify]: iters left: 5 (6 enodes) 11.699 * * [simplify]: iters left: 4 (19 enodes) 11.704 * * [simplify]: Extracting #0: cost 1 inf + 0 11.704 * * [simplify]: Extracting #1: cost 3 inf + 0 11.704 * * [simplify]: Extracting #2: cost 6 inf + 0 11.704 * * [simplify]: Extracting #3: cost 10 inf + 0 11.704 * * [simplify]: Extracting #4: cost 6 inf + 84 11.704 * * [simplify]: Extracting #5: cost 0 inf + 734 11.705 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 11.705 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.705 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 11.705 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 11.705 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 11.705 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 11.705 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 11.705 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 11.706 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 11.706 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 11.706 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 11.706 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 11.706 * * [simplify]: iters left: 6 (8 enodes) 11.710 * * [simplify]: iters left: 5 (26 enodes) 11.716 * * [simplify]: Extracting #0: cost 1 inf + 0 11.717 * * [simplify]: Extracting #1: cost 4 inf + 0 11.717 * * [simplify]: Extracting #2: cost 7 inf + 0 11.717 * * [simplify]: Extracting #3: cost 10 inf + 0 11.717 * * [simplify]: Extracting #4: cost 14 inf + 0 11.717 * * [simplify]: Extracting #5: cost 10 inf + 84 11.717 * * [simplify]: Extracting #6: cost 8 inf + 166 11.717 * * [simplify]: Extracting #7: cost 4 inf + 854 11.718 * * [simplify]: Extracting #8: cost 1 inf + 1540 11.718 * * [simplify]: Extracting #9: cost 0 inf + 1782 11.719 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 11.719 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.719 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 11.720 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 11.720 * * [simplify]: iters left: 6 (7 enodes) 11.723 * * [simplify]: iters left: 5 (22 enodes) 11.729 * * [simplify]: Extracting #0: cost 1 inf + 0 11.729 * * [simplify]: Extracting #1: cost 3 inf + 0 11.729 * * [simplify]: Extracting #2: cost 5 inf + 0 11.729 * * [simplify]: Extracting #3: cost 8 inf + 0 11.729 * * [simplify]: Extracting #4: cost 12 inf + 0 11.729 * * [simplify]: Extracting #5: cost 10 inf + 2 11.730 * * [simplify]: Extracting #6: cost 1 inf + 936 11.730 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.731 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 11.731 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.731 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 11.731 * [simplify]: Simplifying (sqrt 1) 11.731 * * [simplify]: iters left: 1 (2 enodes) 11.735 * * [simplify]: Extracting #0: cost 1 inf + 0 11.735 * * [simplify]: Extracting #1: cost 0 inf + 1 11.735 * [simplify]: Simplified to 1 11.735 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 11.735 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 11.736 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 11.736 * * [simplify]: iters left: 6 (9 enodes) 11.741 * * [simplify]: iters left: 5 (45 enodes) 11.762 * * [simplify]: iters left: 4 (100 enodes) 11.807 * * [simplify]: iters left: 3 (201 enodes) 11.896 * * [simplify]: iters left: 2 (406 enodes) 12.099 * * [simplify]: Extracting #0: cost 1 inf + 0 12.099 * * [simplify]: Extracting #1: cost 3 inf + 0 12.099 * * [simplify]: Extracting #2: cost 6 inf + 0 12.099 * * [simplify]: Extracting #3: cost 62 inf + 0 12.100 * * [simplify]: Extracting #4: cost 166 inf + 460 12.103 * * [simplify]: Extracting #5: cost 131 inf + 12951 12.111 * * [simplify]: Extracting #6: cost 49 inf + 45746 12.122 * * [simplify]: Extracting #7: cost 1 inf + 66256 12.132 * * [simplify]: Extracting #8: cost 0 inf + 65919 12.138 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 12.138 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (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))))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.138 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 12.138 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.139 * * [simplify]: iters left: 6 (8 enodes) 12.141 * * [simplify]: iters left: 5 (37 enodes) 12.147 * * [simplify]: iters left: 4 (67 enodes) 12.167 * * [simplify]: iters left: 3 (123 enodes) 12.210 * * [simplify]: iters left: 2 (278 enodes) 12.360 * * [simplify]: Extracting #0: cost 1 inf + 0 12.360 * * [simplify]: Extracting #1: cost 3 inf + 0 12.360 * * [simplify]: Extracting #2: cost 50 inf + 0 12.361 * * [simplify]: Extracting #3: cost 150 inf + 0 12.362 * * [simplify]: Extracting #4: cost 194 inf + 1180 12.367 * * [simplify]: Extracting #5: cost 123 inf + 12421 12.379 * * [simplify]: Extracting #6: cost 12 inf + 33804 12.395 * * [simplify]: Extracting #7: cost 0 inf + 36129 12.410 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.410 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.410 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 12.411 * [simplify]: Simplifying (+ (* re re) (* im im)) 12.411 * * [simplify]: iters left: 4 (5 enodes) 12.413 * * [simplify]: iters left: 3 (16 enodes) 12.418 * * [simplify]: Extracting #0: cost 1 inf + 0 12.418 * * [simplify]: Extracting #1: cost 4 inf + 0 12.418 * * [simplify]: Extracting #2: cost 8 inf + 0 12.418 * * [simplify]: Extracting #3: cost 4 inf + 84 12.418 * * [simplify]: Extracting #4: cost 0 inf + 410 12.418 * [simplify]: Simplified to (+ (* re re) (* im im)) 12.418 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.419 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 12.419 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 12.419 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 12.419 * * [simplify]: iters left: 5 (6 enodes) 12.422 * * [simplify]: iters left: 4 (19 enodes) 12.428 * * [simplify]: Extracting #0: cost 1 inf + 0 12.428 * * [simplify]: Extracting #1: cost 3 inf + 0 12.428 * * [simplify]: Extracting #2: cost 6 inf + 0 12.428 * * [simplify]: Extracting #3: cost 10 inf + 0 12.428 * * [simplify]: Extracting #4: cost 6 inf + 84 12.428 * * [simplify]: Extracting #5: cost 0 inf + 734 12.428 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 12.428 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.428 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 12.429 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 12.429 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 12.429 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 12.429 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 12.429 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 12.429 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 12.429 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 12.429 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 12.429 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 12.429 * * [simplify]: iters left: 6 (8 enodes) 12.431 * * [simplify]: iters left: 5 (26 enodes) 12.434 * * [simplify]: Extracting #0: cost 1 inf + 0 12.434 * * [simplify]: Extracting #1: cost 4 inf + 0 12.434 * * [simplify]: Extracting #2: cost 7 inf + 0 12.434 * * [simplify]: Extracting #3: cost 10 inf + 0 12.434 * * [simplify]: Extracting #4: cost 14 inf + 0 12.434 * * [simplify]: Extracting #5: cost 10 inf + 84 12.434 * * [simplify]: Extracting #6: cost 8 inf + 166 12.435 * * [simplify]: Extracting #7: cost 4 inf + 854 12.435 * * [simplify]: Extracting #8: cost 1 inf + 1540 12.435 * * [simplify]: Extracting #9: cost 0 inf + 1782 12.435 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 12.436 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.436 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 12.436 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 12.436 * * [simplify]: iters left: 6 (7 enodes) 12.438 * * [simplify]: iters left: 5 (22 enodes) 12.441 * * [simplify]: Extracting #0: cost 1 inf + 0 12.441 * * [simplify]: Extracting #1: cost 3 inf + 0 12.441 * * [simplify]: Extracting #2: cost 5 inf + 0 12.441 * * [simplify]: Extracting #3: cost 8 inf + 0 12.441 * * [simplify]: Extracting #4: cost 12 inf + 0 12.441 * * [simplify]: Extracting #5: cost 10 inf + 2 12.441 * * [simplify]: Extracting #6: cost 1 inf + 936 12.441 * * [simplify]: Extracting #7: cost 0 inf + 1138 12.441 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 12.441 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.441 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 12.442 * [simplify]: Simplifying (sqrt 1) 12.442 * * [simplify]: iters left: 1 (2 enodes) 12.444 * * [simplify]: Extracting #0: cost 1 inf + 0 12.444 * * [simplify]: Extracting #1: cost 0 inf + 1 12.444 * [simplify]: Simplified to 1 12.444 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.444 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 12.444 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 12.444 * * [simplify]: iters left: 6 (9 enodes) 12.447 * * [simplify]: iters left: 5 (45 enodes) 12.467 * * [simplify]: iters left: 4 (100 enodes) 12.505 * * [simplify]: iters left: 3 (201 enodes) 12.568 * * [simplify]: iters left: 2 (406 enodes) 12.719 * * [simplify]: Extracting #0: cost 1 inf + 0 12.719 * * [simplify]: Extracting #1: cost 3 inf + 0 12.719 * * [simplify]: Extracting #2: cost 6 inf + 0 12.720 * * [simplify]: Extracting #3: cost 62 inf + 0 12.721 * * [simplify]: Extracting #4: cost 166 inf + 460 12.724 * * [simplify]: Extracting #5: cost 131 inf + 12951 12.729 * * [simplify]: Extracting #6: cost 49 inf + 45746 12.739 * * [simplify]: Extracting #7: cost 1 inf + 66256 12.745 * * [simplify]: Extracting #8: cost 0 inf + 65919 12.754 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 12.754 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (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)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.755 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 12.755 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.755 * * [simplify]: iters left: 6 (8 enodes) 12.759 * * [simplify]: iters left: 5 (37 enodes) 12.771 * * [simplify]: iters left: 4 (67 enodes) 12.783 * * [simplify]: iters left: 3 (123 enodes) 12.817 * * [simplify]: iters left: 2 (278 enodes) 12.948 * * [simplify]: Extracting #0: cost 1 inf + 0 12.948 * * [simplify]: Extracting #1: cost 3 inf + 0 12.948 * * [simplify]: Extracting #2: cost 50 inf + 0 12.949 * * [simplify]: Extracting #3: cost 150 inf + 0 12.950 * * [simplify]: Extracting #4: cost 194 inf + 1180 12.955 * * [simplify]: Extracting #5: cost 123 inf + 12421 12.965 * * [simplify]: Extracting #6: cost 12 inf + 33804 12.973 * * [simplify]: Extracting #7: cost 0 inf + 36129 12.981 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 12.981 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.981 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 12.982 * [simplify]: Simplifying (+ (* re re) (* im im)) 12.982 * * [simplify]: iters left: 4 (5 enodes) 12.983 * * [simplify]: iters left: 3 (16 enodes) 12.985 * * [simplify]: Extracting #0: cost 1 inf + 0 12.985 * * [simplify]: Extracting #1: cost 4 inf + 0 12.985 * * [simplify]: Extracting #2: cost 8 inf + 0 12.985 * * [simplify]: Extracting #3: cost 4 inf + 84 12.985 * * [simplify]: Extracting #4: cost 0 inf + 410 12.985 * [simplify]: Simplified to (+ (* re re) (* im im)) 12.985 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.985 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 12.985 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 12.986 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 12.986 * * [simplify]: iters left: 5 (6 enodes) 12.987 * * [simplify]: iters left: 4 (19 enodes) 12.989 * * [simplify]: Extracting #0: cost 1 inf + 0 12.989 * * [simplify]: Extracting #1: cost 3 inf + 0 12.989 * * [simplify]: Extracting #2: cost 6 inf + 0 12.990 * * [simplify]: Extracting #3: cost 10 inf + 0 12.990 * * [simplify]: Extracting #4: cost 6 inf + 84 12.990 * * [simplify]: Extracting #5: cost 0 inf + 734 12.990 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 12.990 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.990 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 12.990 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 12.990 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 12.990 * [simplify]: Simplifying im 12.990 * * [simplify]: iters left: 0 (1 enodes) 12.991 * * [simplify]: Extracting #0: cost 1 inf + 0 12.991 * * [simplify]: Extracting #1: cost 0 inf + 1 12.991 * [simplify]: Simplified to im 12.991 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt im))) re))))) 12.991 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 12.991 * [simplify]: Simplifying re 12.991 * * [simplify]: iters left: 0 (1 enodes) 12.991 * * [simplify]: Extracting #0: cost 1 inf + 0 12.991 * * [simplify]: Extracting #1: cost 0 inf + 1 12.991 * [simplify]: Simplified to re 12.991 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt re))) re))))) 12.991 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 12.992 * [simplify]: Simplifying (* -1 re) 12.992 * * [simplify]: iters left: 2 (3 enodes) 12.993 * * [simplify]: iters left: 1 (11 enodes) 12.994 * * [simplify]: Extracting #0: cost 1 inf + 0 12.994 * * [simplify]: Extracting #1: cost 4 inf + 0 12.994 * * [simplify]: Extracting #2: cost 0 inf + 84 12.995 * [simplify]: Simplified to (- re) 12.995 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (- re)))) re))))) 12.995 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 12.995 * [simplify]: Simplifying im 12.995 * * [simplify]: iters left: 0 (1 enodes) 12.995 * * [simplify]: Extracting #0: cost 1 inf + 0 12.995 * * [simplify]: Extracting #1: cost 0 inf + 1 12.995 * [simplify]: Simplified to im 12.995 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt im)) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.995 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 12.995 * [simplify]: Simplifying re 12.995 * * [simplify]: iters left: 0 (1 enodes) 12.996 * * [simplify]: Extracting #0: cost 1 inf + 0 12.996 * * [simplify]: Extracting #1: cost 0 inf + 1 12.996 * [simplify]: Simplified to re 12.996 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt re)) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.996 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 12.996 * [simplify]: Simplifying (* -1 re) 12.996 * * [simplify]: iters left: 2 (3 enodes) 12.997 * * [simplify]: iters left: 1 (11 enodes) 12.999 * * [simplify]: Extracting #0: cost 1 inf + 0 12.999 * * [simplify]: Extracting #1: cost 4 inf + 0 12.999 * * [simplify]: Extracting #2: cost 0 inf + 84 12.999 * [simplify]: Simplified to (- re) 12.999 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (- re))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 12.999 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 12.999 * [simplify]: Simplifying im 12.999 * * [simplify]: iters left: 0 (1 enodes) 12.999 * * [simplify]: Extracting #0: cost 1 inf + 0 12.999 * * [simplify]: Extracting #1: cost 0 inf + 1 12.999 * [simplify]: Simplified to im 12.999 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt im))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.000 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 13.000 * [simplify]: Simplifying re 13.000 * * [simplify]: iters left: 0 (1 enodes) 13.000 * * [simplify]: Extracting #0: cost 1 inf + 0 13.000 * * [simplify]: Extracting #1: cost 0 inf + 1 13.000 * [simplify]: Simplified to re 13.000 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt re))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.000 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 13.000 * [simplify]: Simplifying (* -1 re) 13.000 * * [simplify]: iters left: 2 (3 enodes) 13.001 * * [simplify]: iters left: 1 (11 enodes) 13.003 * * [simplify]: Extracting #0: cost 1 inf + 0 13.003 * * [simplify]: Extracting #1: cost 4 inf + 0 13.003 * * [simplify]: Extracting #2: cost 0 inf + 84 13.003 * [simplify]: Simplified to (- re) 13.003 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (- re)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.003 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 13.003 * [simplify]: Simplifying im 13.003 * * [simplify]: iters left: 0 (1 enodes) 13.004 * * [simplify]: Extracting #0: cost 1 inf + 0 13.004 * * [simplify]: Extracting #1: cost 0 inf + 1 13.004 * [simplify]: Simplified to im 13.004 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt im)) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.004 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 13.004 * [simplify]: Simplifying re 13.004 * * [simplify]: iters left: 0 (1 enodes) 13.004 * * [simplify]: Extracting #0: cost 1 inf + 0 13.004 * * [simplify]: Extracting #1: cost 0 inf + 1 13.004 * [simplify]: Simplified to re 13.004 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt re)) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.004 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 13.005 * [simplify]: Simplifying (* -1 re) 13.005 * * [simplify]: iters left: 2 (3 enodes) 13.006 * * [simplify]: iters left: 1 (11 enodes) 13.009 * * [simplify]: Extracting #0: cost 1 inf + 0 13.009 * * [simplify]: Extracting #1: cost 4 inf + 0 13.009 * * [simplify]: Extracting #2: cost 0 inf + 84 13.009 * [simplify]: Simplified to (- re) 13.009 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (- re))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.009 * * * [progress]: adding candidates to table 14.016 * * [progress]: iteration 4 / 4 14.016 * * * [progress]: picking best candidate 14.086 * * * * [pick]: Picked # 14.086 * * * [progress]: localizing error 14.114 * * * [progress]: generating rewritten candidates 14.114 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 14.118 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 14.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 14.157 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 14.206 * * * [progress]: generating series expansions 14.206 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 14.206 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 14.206 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 14.206 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 14.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 14.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 14.206 * [taylor]: Taking taylor expansion of 1/3 in im 14.206 * [backup-simplify]: Simplify 1/3 into 1/3 14.206 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 14.206 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.206 * [taylor]: Taking taylor expansion of im in im 14.207 * [backup-simplify]: Simplify 0 into 0 14.207 * [backup-simplify]: Simplify 1 into 1 14.207 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.207 * [taylor]: Taking taylor expansion of re in im 14.207 * [backup-simplify]: Simplify re into re 14.207 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.207 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.207 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 14.207 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 14.207 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 14.207 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 14.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 14.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 14.207 * [taylor]: Taking taylor expansion of 1/3 in re 14.208 * [backup-simplify]: Simplify 1/3 into 1/3 14.208 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.208 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.208 * [taylor]: Taking taylor expansion of im in re 14.208 * [backup-simplify]: Simplify im into im 14.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.208 * [taylor]: Taking taylor expansion of re in re 14.208 * [backup-simplify]: Simplify 0 into 0 14.208 * [backup-simplify]: Simplify 1 into 1 14.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.208 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.208 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.208 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 14.208 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 14.208 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 14.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 14.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 14.208 * [taylor]: Taking taylor expansion of 1/3 in re 14.208 * [backup-simplify]: Simplify 1/3 into 1/3 14.208 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.208 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.208 * [taylor]: Taking taylor expansion of im in re 14.209 * [backup-simplify]: Simplify im into im 14.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.209 * [taylor]: Taking taylor expansion of re in re 14.209 * [backup-simplify]: Simplify 0 into 0 14.209 * [backup-simplify]: Simplify 1 into 1 14.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.209 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.209 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.209 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 14.209 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 14.209 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 14.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 14.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 14.209 * [taylor]: Taking taylor expansion of 1/3 in im 14.209 * [backup-simplify]: Simplify 1/3 into 1/3 14.209 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 14.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.209 * [taylor]: Taking taylor expansion of im in im 14.209 * [backup-simplify]: Simplify 0 into 0 14.209 * [backup-simplify]: Simplify 1 into 1 14.210 * [backup-simplify]: Simplify (* 1 1) into 1 14.211 * [backup-simplify]: Simplify (log 1) into 0 14.211 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.211 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 14.211 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 14.211 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 14.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.213 * [backup-simplify]: Simplify (+ 0 0) into 0 14.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 14.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 14.215 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.215 * [taylor]: Taking taylor expansion of 0 in im 14.215 * [backup-simplify]: Simplify 0 into 0 14.215 * [backup-simplify]: Simplify 0 into 0 14.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.216 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.216 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 14.217 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 14.217 * [backup-simplify]: Simplify 0 into 0 14.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.218 * [backup-simplify]: Simplify (* 1 1) into 1 14.219 * [backup-simplify]: Simplify (+ 0 1) into 1 14.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 14.220 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 14.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 14.221 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 14.221 * [taylor]: Taking taylor expansion of 1/3 in im 14.221 * [backup-simplify]: Simplify 1/3 into 1/3 14.221 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 14.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 14.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 14.221 * [taylor]: Taking taylor expansion of 1/3 in im 14.221 * [backup-simplify]: Simplify 1/3 into 1/3 14.221 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 14.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 14.221 * [taylor]: Taking taylor expansion of (pow im 4) in im 14.221 * [taylor]: Taking taylor expansion of im in im 14.221 * [backup-simplify]: Simplify 0 into 0 14.221 * [backup-simplify]: Simplify 1 into 1 14.221 * [backup-simplify]: Simplify (* 1 1) into 1 14.221 * [backup-simplify]: Simplify (* 1 1) into 1 14.222 * [backup-simplify]: Simplify (/ 1 1) into 1 14.222 * [backup-simplify]: Simplify (log 1) into 0 14.222 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 14.222 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 14.222 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 14.222 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 14.222 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 14.223 * [backup-simplify]: Simplify 0 into 0 14.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.225 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 14.226 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.226 * [backup-simplify]: Simplify 0 into 0 14.227 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.228 * [backup-simplify]: Simplify (+ 0 0) into 0 14.229 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 14.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 14.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.231 * [taylor]: Taking taylor expansion of 0 in im 14.231 * [backup-simplify]: Simplify 0 into 0 14.231 * [backup-simplify]: Simplify 0 into 0 14.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.234 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 14.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 14.235 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 14.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 14.235 * [backup-simplify]: Simplify 0 into 0 14.235 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.238 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.239 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.240 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 14.240 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.241 * [backup-simplify]: Simplify 0 into 0 14.241 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 14.241 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 14.241 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 14.241 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 14.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.241 * [taylor]: Taking taylor expansion of 1/3 in im 14.241 * [backup-simplify]: Simplify 1/3 into 1/3 14.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.241 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.241 * [taylor]: Taking taylor expansion of re in im 14.241 * [backup-simplify]: Simplify re into re 14.241 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.241 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.241 * [taylor]: Taking taylor expansion of im in im 14.241 * [backup-simplify]: Simplify 0 into 0 14.241 * [backup-simplify]: Simplify 1 into 1 14.242 * [backup-simplify]: Simplify (* 1 1) into 1 14.242 * [backup-simplify]: Simplify (/ 1 1) into 1 14.242 * [backup-simplify]: Simplify (+ 0 1) into 1 14.242 * [backup-simplify]: Simplify (log 1) into 0 14.243 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.243 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 14.243 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 14.243 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.243 * [taylor]: Taking taylor expansion of 1/3 in re 14.243 * [backup-simplify]: Simplify 1/3 into 1/3 14.243 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.243 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.243 * [taylor]: Taking taylor expansion of re in re 14.243 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 1 into 1 14.243 * [backup-simplify]: Simplify (* 1 1) into 1 14.244 * [backup-simplify]: Simplify (/ 1 1) into 1 14.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.244 * [taylor]: Taking taylor expansion of im in re 14.244 * [backup-simplify]: Simplify im into im 14.244 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.244 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.244 * [backup-simplify]: Simplify (+ 1 0) into 1 14.244 * [backup-simplify]: Simplify (log 1) into 0 14.245 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.245 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.245 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.245 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.245 * [taylor]: Taking taylor expansion of 1/3 in re 14.245 * [backup-simplify]: Simplify 1/3 into 1/3 14.245 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.245 * [taylor]: Taking taylor expansion of re in re 14.245 * [backup-simplify]: Simplify 0 into 0 14.245 * [backup-simplify]: Simplify 1 into 1 14.245 * [backup-simplify]: Simplify (* 1 1) into 1 14.245 * [backup-simplify]: Simplify (/ 1 1) into 1 14.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.245 * [taylor]: Taking taylor expansion of im in re 14.245 * [backup-simplify]: Simplify im into im 14.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.246 * [backup-simplify]: Simplify (+ 1 0) into 1 14.246 * [backup-simplify]: Simplify (log 1) into 0 14.246 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.246 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.246 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.246 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 14.247 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 14.247 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 14.247 * [taylor]: Taking taylor expansion of -2/3 in im 14.247 * [backup-simplify]: Simplify -2/3 into -2/3 14.247 * [taylor]: Taking taylor expansion of (log re) in im 14.247 * [taylor]: Taking taylor expansion of re in im 14.247 * [backup-simplify]: Simplify re into re 14.247 * [backup-simplify]: Simplify (log re) into (log re) 14.247 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 14.247 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.247 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 14.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.248 * [backup-simplify]: Simplify (+ 0 0) into 0 14.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.249 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 14.250 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.250 * [taylor]: Taking taylor expansion of 0 in im 14.250 * [backup-simplify]: Simplify 0 into 0 14.250 * [backup-simplify]: Simplify 0 into 0 14.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.251 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 14.251 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.251 * [backup-simplify]: Simplify 0 into 0 14.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.252 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.254 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.254 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 14.255 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 14.255 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 14.255 * [taylor]: Taking taylor expansion of 1/3 in im 14.255 * [backup-simplify]: Simplify 1/3 into 1/3 14.255 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 14.255 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 14.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 14.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 14.256 * [taylor]: Taking taylor expansion of 1/3 in im 14.256 * [backup-simplify]: Simplify 1/3 into 1/3 14.256 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 14.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.256 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.256 * [taylor]: Taking taylor expansion of re in im 14.256 * [backup-simplify]: Simplify re into re 14.256 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.256 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.256 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 14.256 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 14.256 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 14.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.256 * [taylor]: Taking taylor expansion of im in im 14.256 * [backup-simplify]: Simplify 0 into 0 14.256 * [backup-simplify]: Simplify 1 into 1 14.257 * [backup-simplify]: Simplify (* 1 1) into 1 14.257 * [backup-simplify]: Simplify (/ 1 1) into 1 14.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.261 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 14.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 14.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 14.263 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.264 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 14.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 14.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 14.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 14.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.269 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 14.269 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 14.270 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 14.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 14.271 * [backup-simplify]: Simplify 0 into 0 14.271 * [backup-simplify]: Simplify 0 into 0 14.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 14.273 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 14.275 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.275 * [backup-simplify]: Simplify 0 into 0 14.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.278 * [backup-simplify]: Simplify (+ 0 0) into 0 14.281 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.289 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 14.293 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.293 * [taylor]: Taking taylor expansion of 0 in im 14.293 * [backup-simplify]: Simplify 0 into 0 14.293 * [backup-simplify]: Simplify 0 into 0 14.293 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 14.293 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 14.293 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 14.293 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 14.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.293 * [taylor]: Taking taylor expansion of 1/3 in im 14.293 * [backup-simplify]: Simplify 1/3 into 1/3 14.293 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.293 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.294 * [taylor]: Taking taylor expansion of re in im 14.294 * [backup-simplify]: Simplify re into re 14.294 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.294 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.294 * [taylor]: Taking taylor expansion of im in im 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify 1 into 1 14.294 * [backup-simplify]: Simplify (* 1 1) into 1 14.295 * [backup-simplify]: Simplify (/ 1 1) into 1 14.295 * [backup-simplify]: Simplify (+ 0 1) into 1 14.296 * [backup-simplify]: Simplify (log 1) into 0 14.296 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.296 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 14.296 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 14.296 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.296 * [taylor]: Taking taylor expansion of 1/3 in re 14.296 * [backup-simplify]: Simplify 1/3 into 1/3 14.296 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.297 * [taylor]: Taking taylor expansion of re in re 14.297 * [backup-simplify]: Simplify 0 into 0 14.297 * [backup-simplify]: Simplify 1 into 1 14.297 * [backup-simplify]: Simplify (* 1 1) into 1 14.297 * [backup-simplify]: Simplify (/ 1 1) into 1 14.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.297 * [taylor]: Taking taylor expansion of im in re 14.298 * [backup-simplify]: Simplify im into im 14.298 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.298 * [backup-simplify]: Simplify (+ 1 0) into 1 14.298 * [backup-simplify]: Simplify (log 1) into 0 14.299 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.299 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.299 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.299 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.299 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.299 * [taylor]: Taking taylor expansion of 1/3 in re 14.299 * [backup-simplify]: Simplify 1/3 into 1/3 14.299 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.299 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.299 * [taylor]: Taking taylor expansion of re in re 14.299 * [backup-simplify]: Simplify 0 into 0 14.299 * [backup-simplify]: Simplify 1 into 1 14.300 * [backup-simplify]: Simplify (* 1 1) into 1 14.300 * [backup-simplify]: Simplify (/ 1 1) into 1 14.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.300 * [taylor]: Taking taylor expansion of im in re 14.300 * [backup-simplify]: Simplify im into im 14.300 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.301 * [backup-simplify]: Simplify (+ 1 0) into 1 14.301 * [backup-simplify]: Simplify (log 1) into 0 14.302 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.302 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.302 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.302 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 14.302 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 14.302 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 14.302 * [taylor]: Taking taylor expansion of -2/3 in im 14.302 * [backup-simplify]: Simplify -2/3 into -2/3 14.302 * [taylor]: Taking taylor expansion of (log re) in im 14.302 * [taylor]: Taking taylor expansion of re in im 14.302 * [backup-simplify]: Simplify re into re 14.302 * [backup-simplify]: Simplify (log re) into (log re) 14.302 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 14.302 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.302 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 14.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.304 * [backup-simplify]: Simplify (+ 0 0) into 0 14.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.305 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 14.305 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.306 * [taylor]: Taking taylor expansion of 0 in im 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.306 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 14.307 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.307 * [backup-simplify]: Simplify 0 into 0 14.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.309 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.310 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 14.310 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 14.310 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 14.310 * [taylor]: Taking taylor expansion of 1/3 in im 14.310 * [backup-simplify]: Simplify 1/3 into 1/3 14.310 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 14.310 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 14.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 14.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 14.311 * [taylor]: Taking taylor expansion of 1/3 in im 14.311 * [backup-simplify]: Simplify 1/3 into 1/3 14.311 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 14.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.311 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.311 * [taylor]: Taking taylor expansion of re in im 14.311 * [backup-simplify]: Simplify re into re 14.311 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.311 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.311 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 14.311 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 14.311 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 14.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.311 * [taylor]: Taking taylor expansion of im in im 14.311 * [backup-simplify]: Simplify 0 into 0 14.311 * [backup-simplify]: Simplify 1 into 1 14.311 * [backup-simplify]: Simplify (* 1 1) into 1 14.311 * [backup-simplify]: Simplify (/ 1 1) into 1 14.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.313 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 14.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 14.314 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 14.315 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.315 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 14.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 14.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 14.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 14.318 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.318 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 14.319 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 14.319 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 14.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 14.319 * [backup-simplify]: Simplify 0 into 0 14.319 * [backup-simplify]: Simplify 0 into 0 14.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 14.321 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 14.321 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.322 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.323 * [backup-simplify]: Simplify (+ 0 0) into 0 14.325 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.325 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 14.328 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.328 * [taylor]: Taking taylor expansion of 0 in im 14.328 * [backup-simplify]: Simplify 0 into 0 14.328 * [backup-simplify]: Simplify 0 into 0 14.328 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 14.328 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 14.328 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 14.329 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 14.329 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 14.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 14.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 14.329 * [taylor]: Taking taylor expansion of 1/3 in im 14.329 * [backup-simplify]: Simplify 1/3 into 1/3 14.329 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 14.329 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.329 * [taylor]: Taking taylor expansion of im in im 14.329 * [backup-simplify]: Simplify 0 into 0 14.329 * [backup-simplify]: Simplify 1 into 1 14.329 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.329 * [taylor]: Taking taylor expansion of re in im 14.329 * [backup-simplify]: Simplify re into re 14.329 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.329 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.329 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 14.329 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 14.329 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 14.329 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 14.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 14.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 14.329 * [taylor]: Taking taylor expansion of 1/3 in re 14.329 * [backup-simplify]: Simplify 1/3 into 1/3 14.329 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.330 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.330 * [taylor]: Taking taylor expansion of im in re 14.330 * [backup-simplify]: Simplify im into im 14.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.330 * [taylor]: Taking taylor expansion of re in re 14.330 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify 1 into 1 14.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.330 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.330 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.330 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 14.330 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 14.330 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 14.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 14.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 14.330 * [taylor]: Taking taylor expansion of 1/3 in re 14.330 * [backup-simplify]: Simplify 1/3 into 1/3 14.330 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.330 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.330 * [taylor]: Taking taylor expansion of im in re 14.330 * [backup-simplify]: Simplify im into im 14.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.330 * [taylor]: Taking taylor expansion of re in re 14.330 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify 1 into 1 14.331 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.331 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.331 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.331 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 14.331 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 14.331 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 14.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 14.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 14.331 * [taylor]: Taking taylor expansion of 1/3 in im 14.331 * [backup-simplify]: Simplify 1/3 into 1/3 14.331 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 14.331 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.331 * [taylor]: Taking taylor expansion of im in im 14.331 * [backup-simplify]: Simplify 0 into 0 14.331 * [backup-simplify]: Simplify 1 into 1 14.332 * [backup-simplify]: Simplify (* 1 1) into 1 14.332 * [backup-simplify]: Simplify (log 1) into 0 14.332 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.333 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 14.333 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 14.333 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 14.333 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.333 * [backup-simplify]: Simplify (+ 0 0) into 0 14.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 14.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 14.336 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.336 * [taylor]: Taking taylor expansion of 0 in im 14.336 * [backup-simplify]: Simplify 0 into 0 14.336 * [backup-simplify]: Simplify 0 into 0 14.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.339 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 14.340 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 14.340 * [backup-simplify]: Simplify 0 into 0 14.341 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.341 * [backup-simplify]: Simplify (* 1 1) into 1 14.341 * [backup-simplify]: Simplify (+ 0 1) into 1 14.343 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 14.344 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 14.344 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 14.345 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 14.345 * [taylor]: Taking taylor expansion of 1/3 in im 14.345 * [backup-simplify]: Simplify 1/3 into 1/3 14.345 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 14.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 14.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 14.345 * [taylor]: Taking taylor expansion of 1/3 in im 14.345 * [backup-simplify]: Simplify 1/3 into 1/3 14.345 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 14.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 14.345 * [taylor]: Taking taylor expansion of (pow im 4) in im 14.345 * [taylor]: Taking taylor expansion of im in im 14.345 * [backup-simplify]: Simplify 0 into 0 14.345 * [backup-simplify]: Simplify 1 into 1 14.345 * [backup-simplify]: Simplify (* 1 1) into 1 14.346 * [backup-simplify]: Simplify (* 1 1) into 1 14.346 * [backup-simplify]: Simplify (/ 1 1) into 1 14.346 * [backup-simplify]: Simplify (log 1) into 0 14.347 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 14.347 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 14.347 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 14.347 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 14.347 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 14.347 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.351 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 14.353 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.353 * [backup-simplify]: Simplify 0 into 0 14.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.355 * [backup-simplify]: Simplify (+ 0 0) into 0 14.358 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 14.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 14.361 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.361 * [taylor]: Taking taylor expansion of 0 in im 14.361 * [backup-simplify]: Simplify 0 into 0 14.361 * [backup-simplify]: Simplify 0 into 0 14.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.365 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 14.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 14.366 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 14.367 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 14.367 * [backup-simplify]: Simplify 0 into 0 14.367 * [backup-simplify]: Simplify 0 into 0 14.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.373 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.374 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 14.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 14.377 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.377 * [backup-simplify]: Simplify 0 into 0 14.377 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 14.377 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 14.377 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 14.377 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 14.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.378 * [taylor]: Taking taylor expansion of 1/3 in im 14.378 * [backup-simplify]: Simplify 1/3 into 1/3 14.378 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.378 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.378 * [taylor]: Taking taylor expansion of re in im 14.378 * [backup-simplify]: Simplify re into re 14.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.378 * [taylor]: Taking taylor expansion of im in im 14.378 * [backup-simplify]: Simplify 0 into 0 14.378 * [backup-simplify]: Simplify 1 into 1 14.378 * [backup-simplify]: Simplify (* 1 1) into 1 14.379 * [backup-simplify]: Simplify (/ 1 1) into 1 14.379 * [backup-simplify]: Simplify (+ 0 1) into 1 14.380 * [backup-simplify]: Simplify (log 1) into 0 14.380 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.380 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 14.380 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 14.380 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.380 * [taylor]: Taking taylor expansion of 1/3 in re 14.380 * [backup-simplify]: Simplify 1/3 into 1/3 14.380 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.381 * [taylor]: Taking taylor expansion of re in re 14.381 * [backup-simplify]: Simplify 0 into 0 14.381 * [backup-simplify]: Simplify 1 into 1 14.381 * [backup-simplify]: Simplify (* 1 1) into 1 14.381 * [backup-simplify]: Simplify (/ 1 1) into 1 14.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.382 * [taylor]: Taking taylor expansion of im in re 14.382 * [backup-simplify]: Simplify im into im 14.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.382 * [backup-simplify]: Simplify (+ 1 0) into 1 14.383 * [backup-simplify]: Simplify (log 1) into 0 14.383 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.383 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.383 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.383 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.383 * [taylor]: Taking taylor expansion of 1/3 in re 14.383 * [backup-simplify]: Simplify 1/3 into 1/3 14.383 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.384 * [taylor]: Taking taylor expansion of re in re 14.384 * [backup-simplify]: Simplify 0 into 0 14.384 * [backup-simplify]: Simplify 1 into 1 14.384 * [backup-simplify]: Simplify (* 1 1) into 1 14.384 * [backup-simplify]: Simplify (/ 1 1) into 1 14.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.384 * [taylor]: Taking taylor expansion of im in re 14.384 * [backup-simplify]: Simplify im into im 14.385 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.385 * [backup-simplify]: Simplify (+ 1 0) into 1 14.385 * [backup-simplify]: Simplify (log 1) into 0 14.386 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.386 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.386 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.386 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 14.386 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 14.386 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 14.386 * [taylor]: Taking taylor expansion of -2/3 in im 14.386 * [backup-simplify]: Simplify -2/3 into -2/3 14.386 * [taylor]: Taking taylor expansion of (log re) in im 14.386 * [taylor]: Taking taylor expansion of re in im 14.386 * [backup-simplify]: Simplify re into re 14.386 * [backup-simplify]: Simplify (log re) into (log re) 14.386 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 14.386 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.387 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 14.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.388 * [backup-simplify]: Simplify (+ 0 0) into 0 14.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.390 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 14.391 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.391 * [taylor]: Taking taylor expansion of 0 in im 14.391 * [backup-simplify]: Simplify 0 into 0 14.391 * [backup-simplify]: Simplify 0 into 0 14.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.392 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 14.392 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.392 * [backup-simplify]: Simplify 0 into 0 14.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.393 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.395 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.395 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 14.396 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 14.396 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 14.396 * [taylor]: Taking taylor expansion of 1/3 in im 14.396 * [backup-simplify]: Simplify 1/3 into 1/3 14.396 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 14.396 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 14.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 14.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 14.396 * [taylor]: Taking taylor expansion of 1/3 in im 14.396 * [backup-simplify]: Simplify 1/3 into 1/3 14.396 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 14.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.396 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.396 * [taylor]: Taking taylor expansion of re in im 14.396 * [backup-simplify]: Simplify re into re 14.396 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.396 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.396 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 14.396 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 14.397 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 14.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.397 * [taylor]: Taking taylor expansion of im in im 14.397 * [backup-simplify]: Simplify 0 into 0 14.397 * [backup-simplify]: Simplify 1 into 1 14.397 * [backup-simplify]: Simplify (* 1 1) into 1 14.397 * [backup-simplify]: Simplify (/ 1 1) into 1 14.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.399 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 14.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 14.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 14.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.401 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 14.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 14.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 14.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 14.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.404 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 14.404 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 14.404 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 14.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 14.405 * [backup-simplify]: Simplify 0 into 0 14.405 * [backup-simplify]: Simplify 0 into 0 14.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 14.406 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 14.407 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.407 * [backup-simplify]: Simplify 0 into 0 14.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.413 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.413 * [backup-simplify]: Simplify (+ 0 0) into 0 14.416 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.416 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 14.418 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.418 * [taylor]: Taking taylor expansion of 0 in im 14.418 * [backup-simplify]: Simplify 0 into 0 14.418 * [backup-simplify]: Simplify 0 into 0 14.418 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 14.418 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 14.418 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 14.418 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 14.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.418 * [taylor]: Taking taylor expansion of 1/3 in im 14.418 * [backup-simplify]: Simplify 1/3 into 1/3 14.418 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.418 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.418 * [taylor]: Taking taylor expansion of re in im 14.418 * [backup-simplify]: Simplify re into re 14.418 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.418 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.418 * [taylor]: Taking taylor expansion of im in im 14.418 * [backup-simplify]: Simplify 0 into 0 14.418 * [backup-simplify]: Simplify 1 into 1 14.419 * [backup-simplify]: Simplify (* 1 1) into 1 14.419 * [backup-simplify]: Simplify (/ 1 1) into 1 14.419 * [backup-simplify]: Simplify (+ 0 1) into 1 14.419 * [backup-simplify]: Simplify (log 1) into 0 14.420 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.420 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 14.420 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 14.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.420 * [taylor]: Taking taylor expansion of 1/3 in re 14.420 * [backup-simplify]: Simplify 1/3 into 1/3 14.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.420 * [taylor]: Taking taylor expansion of re in re 14.420 * [backup-simplify]: Simplify 0 into 0 14.420 * [backup-simplify]: Simplify 1 into 1 14.420 * [backup-simplify]: Simplify (* 1 1) into 1 14.421 * [backup-simplify]: Simplify (/ 1 1) into 1 14.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.421 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.421 * [taylor]: Taking taylor expansion of im in re 14.421 * [backup-simplify]: Simplify im into im 14.421 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.421 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.421 * [backup-simplify]: Simplify (+ 1 0) into 1 14.421 * [backup-simplify]: Simplify (log 1) into 0 14.422 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.422 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.422 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.422 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 14.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.422 * [taylor]: Taking taylor expansion of 1/3 in re 14.422 * [backup-simplify]: Simplify 1/3 into 1/3 14.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.422 * [taylor]: Taking taylor expansion of re in re 14.422 * [backup-simplify]: Simplify 0 into 0 14.422 * [backup-simplify]: Simplify 1 into 1 14.422 * [backup-simplify]: Simplify (* 1 1) into 1 14.423 * [backup-simplify]: Simplify (/ 1 1) into 1 14.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.423 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.423 * [taylor]: Taking taylor expansion of im in re 14.423 * [backup-simplify]: Simplify im into im 14.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.423 * [backup-simplify]: Simplify (+ 1 0) into 1 14.424 * [backup-simplify]: Simplify (log 1) into 0 14.424 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.424 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 14.424 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.425 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 14.425 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 14.425 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 14.425 * [taylor]: Taking taylor expansion of -2/3 in im 14.425 * [backup-simplify]: Simplify -2/3 into -2/3 14.425 * [taylor]: Taking taylor expansion of (log re) in im 14.425 * [taylor]: Taking taylor expansion of re in im 14.425 * [backup-simplify]: Simplify re into re 14.425 * [backup-simplify]: Simplify (log re) into (log re) 14.425 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 14.425 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 14.425 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 14.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.427 * [backup-simplify]: Simplify (+ 0 0) into 0 14.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.429 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 14.430 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.430 * [taylor]: Taking taylor expansion of 0 in im 14.430 * [backup-simplify]: Simplify 0 into 0 14.430 * [backup-simplify]: Simplify 0 into 0 14.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.432 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 14.432 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.432 * [backup-simplify]: Simplify 0 into 0 14.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.434 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.437 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.437 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 14.438 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 14.438 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 14.439 * [taylor]: Taking taylor expansion of 1/3 in im 14.439 * [backup-simplify]: Simplify 1/3 into 1/3 14.439 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 14.439 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 14.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 14.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 14.439 * [taylor]: Taking taylor expansion of 1/3 in im 14.439 * [backup-simplify]: Simplify 1/3 into 1/3 14.439 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 14.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.439 * [taylor]: Taking taylor expansion of re in im 14.439 * [backup-simplify]: Simplify re into re 14.439 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.439 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.439 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 14.439 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 14.439 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 14.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.439 * [taylor]: Taking taylor expansion of im in im 14.440 * [backup-simplify]: Simplify 0 into 0 14.440 * [backup-simplify]: Simplify 1 into 1 14.440 * [backup-simplify]: Simplify (* 1 1) into 1 14.440 * [backup-simplify]: Simplify (/ 1 1) into 1 14.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.444 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 14.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 14.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 14.447 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.447 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 14.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 14.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 14.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 14.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.452 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 14.453 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 14.453 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 14.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 14.454 * [backup-simplify]: Simplify 0 into 0 14.454 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 14.457 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 14.458 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.458 * [backup-simplify]: Simplify 0 into 0 14.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.461 * [backup-simplify]: Simplify (+ 0 0) into 0 14.465 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.465 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 14.468 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.468 * [taylor]: Taking taylor expansion of 0 in im 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify 0 into 0 14.469 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 14.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 14.469 * [backup-simplify]: Simplify (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re) into (- (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) re) 14.469 * [approximate]: Taking taylor expansion of (- (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) re) in (re im) around 0 14.469 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) re) in im 14.469 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) in im 14.469 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 14.472 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.472 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in im 14.472 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in im 14.472 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in im 14.472 * [taylor]: Taking taylor expansion of 1/6 in im 14.472 * [backup-simplify]: Simplify 1/6 into 1/6 14.472 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 14.472 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.472 * [taylor]: Taking taylor expansion of im in im 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 1 into 1 14.472 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.472 * [taylor]: Taking taylor expansion of re in im 14.472 * [backup-simplify]: Simplify re into re 14.472 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.472 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.473 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 14.473 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 14.473 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 14.473 * [taylor]: Taking taylor expansion of re in im 14.473 * [backup-simplify]: Simplify re into re 14.473 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) re) in re 14.473 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) in re 14.473 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 14.473 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.473 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 14.473 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 14.473 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 14.473 * [taylor]: Taking taylor expansion of 1/6 in re 14.473 * [backup-simplify]: Simplify 1/6 into 1/6 14.473 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.473 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.473 * [taylor]: Taking taylor expansion of im in re 14.473 * [backup-simplify]: Simplify im into im 14.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.473 * [taylor]: Taking taylor expansion of re in re 14.473 * [backup-simplify]: Simplify 0 into 0 14.473 * [backup-simplify]: Simplify 1 into 1 14.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.474 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.474 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.474 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 14.474 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 14.474 * [taylor]: Taking taylor expansion of re in re 14.474 * [backup-simplify]: Simplify 0 into 0 14.474 * [backup-simplify]: Simplify 1 into 1 14.474 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) re) in re 14.474 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) in re 14.474 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 14.474 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.474 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 14.474 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 14.474 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 14.475 * [taylor]: Taking taylor expansion of 1/6 in re 14.475 * [backup-simplify]: Simplify 1/6 into 1/6 14.475 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.475 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.475 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.475 * [taylor]: Taking taylor expansion of im in re 14.475 * [backup-simplify]: Simplify im into im 14.475 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.475 * [taylor]: Taking taylor expansion of re in re 14.475 * [backup-simplify]: Simplify 0 into 0 14.475 * [backup-simplify]: Simplify 1 into 1 14.475 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.475 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.475 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.475 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 14.475 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 14.475 * [taylor]: Taking taylor expansion of re in re 14.475 * [backup-simplify]: Simplify 0 into 0 14.475 * [backup-simplify]: Simplify 1 into 1 14.476 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (pow im 2) 1/6)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 14.476 * [backup-simplify]: Simplify (- 0) into 0 14.477 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 0) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 14.477 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) in im 14.477 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 14.477 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.477 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 14.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 14.477 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 14.477 * [taylor]: Taking taylor expansion of 1/3 in im 14.477 * [backup-simplify]: Simplify 1/3 into 1/3 14.477 * [taylor]: Taking taylor expansion of (log im) in im 14.477 * [taylor]: Taking taylor expansion of im in im 14.477 * [backup-simplify]: Simplify 0 into 0 14.477 * [backup-simplify]: Simplify 1 into 1 14.478 * [backup-simplify]: Simplify (log 1) into 0 14.478 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.478 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 14.478 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 14.479 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 14.479 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 14.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.479 * [backup-simplify]: Simplify (+ 0 0) into 0 14.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 14.481 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 14.482 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.482 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (* 0 (pow (pow im 2) 1/6))) into 0 14.482 * [backup-simplify]: Simplify (- 1) into -1 14.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.483 * [taylor]: Taking taylor expansion of -1 in im 14.483 * [backup-simplify]: Simplify -1 into -1 14.483 * [backup-simplify]: Simplify -1 into -1 14.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.485 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 14.486 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 14.486 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (* 0 (pow im 1/3))) into 0 14.486 * [backup-simplify]: Simplify 0 into 0 14.487 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.487 * [backup-simplify]: Simplify (* 1 1) into 1 14.488 * [backup-simplify]: Simplify (+ 0 1) into 1 14.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 14.490 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 14.491 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 14.492 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/6)))) into (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 14.492 * [backup-simplify]: Simplify (- 0) into 0 14.493 * [backup-simplify]: Simplify (+ (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 0) into (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 14.493 * [taylor]: Taking taylor expansion of (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) in im 14.493 * [taylor]: Taking taylor expansion of 1/6 in im 14.493 * [backup-simplify]: Simplify 1/6 into 1/6 14.493 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3)) in im 14.493 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 14.493 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.493 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 14.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 14.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 14.493 * [taylor]: Taking taylor expansion of 1/3 in im 14.493 * [backup-simplify]: Simplify 1/3 into 1/3 14.493 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 14.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 14.493 * [taylor]: Taking taylor expansion of (pow im 5) in im 14.493 * [taylor]: Taking taylor expansion of im in im 14.493 * [backup-simplify]: Simplify 0 into 0 14.493 * [backup-simplify]: Simplify 1 into 1 14.494 * [backup-simplify]: Simplify (* 1 1) into 1 14.494 * [backup-simplify]: Simplify (* 1 1) into 1 14.495 * [backup-simplify]: Simplify (* 1 1) into 1 14.495 * [backup-simplify]: Simplify (/ 1 1) into 1 14.495 * [backup-simplify]: Simplify (log 1) into 0 14.496 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 14.496 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 14.496 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 14.497 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im -5/3)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3)) 14.497 * [backup-simplify]: Simplify (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) into (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 14.497 * [backup-simplify]: Simplify (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) into (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 14.498 * [backup-simplify]: Simplify (+ (* (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) (pow (* 1 re) 2)) (+ (* -1 (* 1 re)) (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)))) into (- (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) (* 1/6 (* (* (pow re 2) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 5)) 1/3)))) re) 14.499 * [backup-simplify]: Simplify (- (* (fabs (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 re)) 14.499 * [approximate]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 re)) in (re im) around 0 14.499 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 re)) in im 14.499 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.499 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 14.499 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.499 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.499 * [taylor]: Taking taylor expansion of 1/6 in im 14.499 * [backup-simplify]: Simplify 1/6 into 1/6 14.499 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.499 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.499 * [taylor]: Taking taylor expansion of re in im 14.499 * [backup-simplify]: Simplify re into re 14.499 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.499 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.499 * [taylor]: Taking taylor expansion of im in im 14.499 * [backup-simplify]: Simplify 0 into 0 14.499 * [backup-simplify]: Simplify 1 into 1 14.500 * [backup-simplify]: Simplify (* 1 1) into 1 14.500 * [backup-simplify]: Simplify (/ 1 1) into 1 14.501 * [backup-simplify]: Simplify (+ 0 1) into 1 14.501 * [backup-simplify]: Simplify (log 1) into 0 14.502 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.502 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 14.502 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 14.502 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.502 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.502 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.502 * [taylor]: Taking taylor expansion of re in im 14.502 * [backup-simplify]: Simplify re into re 14.502 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.502 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 re)) in re 14.502 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.502 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.502 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.502 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.502 * [taylor]: Taking taylor expansion of 1/6 in re 14.502 * [backup-simplify]: Simplify 1/6 into 1/6 14.502 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.503 * [taylor]: Taking taylor expansion of re in re 14.503 * [backup-simplify]: Simplify 0 into 0 14.503 * [backup-simplify]: Simplify 1 into 1 14.503 * [backup-simplify]: Simplify (* 1 1) into 1 14.503 * [backup-simplify]: Simplify (/ 1 1) into 1 14.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.503 * [taylor]: Taking taylor expansion of im in re 14.503 * [backup-simplify]: Simplify im into im 14.504 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.504 * [backup-simplify]: Simplify (+ 1 0) into 1 14.504 * [backup-simplify]: Simplify (log 1) into 0 14.505 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.505 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.505 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.505 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.505 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.505 * [taylor]: Taking taylor expansion of re in re 14.505 * [backup-simplify]: Simplify 0 into 0 14.505 * [backup-simplify]: Simplify 1 into 1 14.506 * [backup-simplify]: Simplify (/ 1 1) into 1 14.506 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 re)) in re 14.506 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.506 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.506 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.506 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.506 * [taylor]: Taking taylor expansion of 1/6 in re 14.506 * [backup-simplify]: Simplify 1/6 into 1/6 14.506 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.506 * [taylor]: Taking taylor expansion of re in re 14.506 * [backup-simplify]: Simplify 0 into 0 14.506 * [backup-simplify]: Simplify 1 into 1 14.507 * [backup-simplify]: Simplify (* 1 1) into 1 14.507 * [backup-simplify]: Simplify (/ 1 1) into 1 14.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.507 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.507 * [taylor]: Taking taylor expansion of im in re 14.507 * [backup-simplify]: Simplify im into im 14.507 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.507 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.508 * [backup-simplify]: Simplify (+ 1 0) into 1 14.508 * [backup-simplify]: Simplify (log 1) into 0 14.508 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.509 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.509 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.509 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.509 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.509 * [taylor]: Taking taylor expansion of re in re 14.509 * [backup-simplify]: Simplify 0 into 0 14.509 * [backup-simplify]: Simplify 1 into 1 14.509 * [backup-simplify]: Simplify (/ 1 1) into 1 14.510 * [backup-simplify]: Simplify (- 1) into -1 14.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.510 * [taylor]: Taking taylor expansion of -1 in im 14.510 * [backup-simplify]: Simplify -1 into -1 14.511 * [backup-simplify]: Simplify -1 into -1 14.511 * [backup-simplify]: Simplify (* (pow re -1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.512 * [backup-simplify]: Simplify (- 0) into 0 14.512 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.512 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.512 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.512 * [taylor]: Taking taylor expansion of 1/3 in im 14.512 * [backup-simplify]: Simplify 1/3 into 1/3 14.513 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.513 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.513 * [taylor]: Taking taylor expansion of re in im 14.513 * [backup-simplify]: Simplify re into re 14.513 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.513 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.513 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.513 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.513 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.513 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.513 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.514 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.514 * [backup-simplify]: Simplify 0 into 0 14.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.516 * [backup-simplify]: Simplify (+ 0 0) into 0 14.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.517 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.518 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 14.519 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.519 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.520 * [backup-simplify]: Simplify (- 0) into 0 14.521 * [backup-simplify]: Simplify (+ 0 0) into 0 14.521 * [taylor]: Taking taylor expansion of 0 in im 14.521 * [backup-simplify]: Simplify 0 into 0 14.521 * [backup-simplify]: Simplify 0 into 0 14.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.523 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.523 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.523 * [backup-simplify]: Simplify 0 into 0 14.523 * [backup-simplify]: Simplify 0 into 0 14.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.524 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.525 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.525 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.526 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 14.526 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 14.527 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) 14.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.528 * [backup-simplify]: Simplify (- 0) into 0 14.528 * [backup-simplify]: Simplify (+ (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) 0) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) 14.528 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) in im 14.528 * [taylor]: Taking taylor expansion of 1/6 in im 14.528 * [backup-simplify]: Simplify 1/6 into 1/6 14.528 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2))) in im 14.528 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.528 * [taylor]: Taking taylor expansion of 1/3 in im 14.528 * [backup-simplify]: Simplify 1/3 into 1/3 14.528 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.528 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.528 * [taylor]: Taking taylor expansion of re in im 14.528 * [backup-simplify]: Simplify re into re 14.528 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.528 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.528 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.529 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.529 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)) in im 14.529 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.529 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.529 * [taylor]: Taking taylor expansion of im in im 14.529 * [backup-simplify]: Simplify 0 into 0 14.529 * [backup-simplify]: Simplify 1 into 1 14.529 * [backup-simplify]: Simplify (* 1 1) into 1 14.529 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 1) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)))) into 0 14.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.533 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 14.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 14.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 14.536 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.536 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 14.536 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.536 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.537 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 14.537 * [backup-simplify]: Simplify 0 into 0 14.537 * [backup-simplify]: Simplify 0 into 0 14.537 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (/ 1 re)) 1/3) (fabs (pow (+ (/ 1 (pow (/ 1 re) 2)) (/ 1 (pow (/ 1 im) 2))) 1/3))) (* -1 (* 1 (/ 1 (/ 1 re))))) into (- (* (pow re 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) re) 14.538 * [backup-simplify]: Simplify (- (* (fabs (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 14.538 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in (re im) around 0 14.538 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 14.538 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.538 * [taylor]: Taking taylor expansion of re in im 14.538 * [backup-simplify]: Simplify re into re 14.538 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.538 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 14.538 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.538 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.538 * [taylor]: Taking taylor expansion of 1/6 in im 14.538 * [backup-simplify]: Simplify 1/6 into 1/6 14.538 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.538 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.538 * [taylor]: Taking taylor expansion of re in im 14.538 * [backup-simplify]: Simplify re into re 14.538 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.538 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.538 * [taylor]: Taking taylor expansion of im in im 14.538 * [backup-simplify]: Simplify 0 into 0 14.538 * [backup-simplify]: Simplify 1 into 1 14.539 * [backup-simplify]: Simplify (* 1 1) into 1 14.539 * [backup-simplify]: Simplify (/ 1 1) into 1 14.539 * [backup-simplify]: Simplify (+ 0 1) into 1 14.539 * [backup-simplify]: Simplify (log 1) into 0 14.540 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.540 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 14.540 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 14.540 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.540 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.540 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 14.540 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.540 * [taylor]: Taking taylor expansion of re in re 14.540 * [backup-simplify]: Simplify 0 into 0 14.540 * [backup-simplify]: Simplify 1 into 1 14.540 * [backup-simplify]: Simplify (/ 1 1) into 1 14.540 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.540 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.540 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.540 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.540 * [taylor]: Taking taylor expansion of 1/6 in re 14.541 * [backup-simplify]: Simplify 1/6 into 1/6 14.541 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.541 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.541 * [taylor]: Taking taylor expansion of re in re 14.541 * [backup-simplify]: Simplify 0 into 0 14.541 * [backup-simplify]: Simplify 1 into 1 14.541 * [backup-simplify]: Simplify (* 1 1) into 1 14.541 * [backup-simplify]: Simplify (/ 1 1) into 1 14.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.541 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.541 * [taylor]: Taking taylor expansion of im in re 14.541 * [backup-simplify]: Simplify im into im 14.541 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.542 * [backup-simplify]: Simplify (+ 1 0) into 1 14.542 * [backup-simplify]: Simplify (log 1) into 0 14.542 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.542 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.542 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.542 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.542 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.542 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 14.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.542 * [taylor]: Taking taylor expansion of re in re 14.542 * [backup-simplify]: Simplify 0 into 0 14.542 * [backup-simplify]: Simplify 1 into 1 14.543 * [backup-simplify]: Simplify (/ 1 1) into 1 14.543 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.543 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.543 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.543 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.543 * [taylor]: Taking taylor expansion of 1/6 in re 14.543 * [backup-simplify]: Simplify 1/6 into 1/6 14.543 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.543 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.543 * [taylor]: Taking taylor expansion of re in re 14.543 * [backup-simplify]: Simplify 0 into 0 14.543 * [backup-simplify]: Simplify 1 into 1 14.549 * [backup-simplify]: Simplify (* 1 1) into 1 14.549 * [backup-simplify]: Simplify (/ 1 1) into 1 14.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.549 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.549 * [taylor]: Taking taylor expansion of im in re 14.549 * [backup-simplify]: Simplify im into im 14.550 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.550 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.550 * [backup-simplify]: Simplify (+ 1 0) into 1 14.550 * [backup-simplify]: Simplify (log 1) into 0 14.550 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.551 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.551 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.551 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.551 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.551 * [backup-simplify]: Simplify (+ 1 0) into 1 14.551 * [taylor]: Taking taylor expansion of 1 in im 14.551 * [backup-simplify]: Simplify 1 into 1 14.551 * [backup-simplify]: Simplify 1 into 1 14.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.552 * [backup-simplify]: Simplify (* (pow re -1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.552 * [backup-simplify]: Simplify (+ 0 (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.552 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.552 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.552 * [taylor]: Taking taylor expansion of 1/3 in im 14.552 * [backup-simplify]: Simplify 1/3 into 1/3 14.552 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.552 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.552 * [taylor]: Taking taylor expansion of re in im 14.552 * [backup-simplify]: Simplify re into re 14.552 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.552 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.552 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.552 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.552 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.553 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.553 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.553 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.553 * [backup-simplify]: Simplify 0 into 0 14.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.555 * [backup-simplify]: Simplify (+ 0 0) into 0 14.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.557 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.557 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 14.558 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.559 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.559 * [backup-simplify]: Simplify (+ 0 0) into 0 14.559 * [taylor]: Taking taylor expansion of 0 in im 14.559 * [backup-simplify]: Simplify 0 into 0 14.559 * [backup-simplify]: Simplify 0 into 0 14.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.562 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.562 * [backup-simplify]: Simplify 0 into 0 14.562 * [backup-simplify]: Simplify 0 into 0 14.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.565 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.567 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.568 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 14.569 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 14.570 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) 14.570 * [backup-simplify]: Simplify (+ 0 (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2))))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) 14.571 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) in im 14.571 * [taylor]: Taking taylor expansion of 1/6 in im 14.571 * [backup-simplify]: Simplify 1/6 into 1/6 14.571 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2))) in im 14.571 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.571 * [taylor]: Taking taylor expansion of 1/3 in im 14.571 * [backup-simplify]: Simplify 1/3 into 1/3 14.571 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.571 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.571 * [taylor]: Taking taylor expansion of re in im 14.571 * [backup-simplify]: Simplify re into re 14.571 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.571 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.571 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.571 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.571 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)) in im 14.571 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.571 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.572 * [taylor]: Taking taylor expansion of im in im 14.572 * [backup-simplify]: Simplify 0 into 0 14.572 * [backup-simplify]: Simplify 1 into 1 14.572 * [backup-simplify]: Simplify (* 1 1) into 1 14.572 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 1) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)))) into 0 14.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.578 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 14.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 14.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 14.583 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.584 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 14.584 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.584 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.586 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 14.586 * [backup-simplify]: Simplify 0 into 0 14.586 * [backup-simplify]: Simplify 0 into 0 14.586 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (/ 1 (- re))) 1/3) (fabs (pow (+ (/ 1 (pow (/ 1 (- re)) 2)) (/ 1 (pow (/ 1 (- im)) 2))) 1/3))) (* 1 (* 1 (/ 1 (/ 1 (- re)))))) into (- (* (pow (* re -1) 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) re) 14.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 14.587 * [backup-simplify]: Simplify (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) 14.587 * [approximate]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) in (re im) around 0 14.587 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) in im 14.587 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 14.587 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.587 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in im 14.587 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in im 14.587 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in im 14.587 * [taylor]: Taking taylor expansion of 1/6 in im 14.587 * [backup-simplify]: Simplify 1/6 into 1/6 14.587 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 14.587 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.587 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.587 * [taylor]: Taking taylor expansion of im in im 14.587 * [backup-simplify]: Simplify 0 into 0 14.587 * [backup-simplify]: Simplify 1 into 1 14.587 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.587 * [taylor]: Taking taylor expansion of re in im 14.587 * [backup-simplify]: Simplify re into re 14.587 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.587 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.587 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 14.587 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 14.587 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 14.587 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) in re 14.587 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 14.587 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.587 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 14.587 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 14.587 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 14.587 * [taylor]: Taking taylor expansion of 1/6 in re 14.587 * [backup-simplify]: Simplify 1/6 into 1/6 14.587 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.587 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.587 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.587 * [taylor]: Taking taylor expansion of im in re 14.588 * [backup-simplify]: Simplify im into im 14.588 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.588 * [taylor]: Taking taylor expansion of re in re 14.588 * [backup-simplify]: Simplify 0 into 0 14.588 * [backup-simplify]: Simplify 1 into 1 14.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.588 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.588 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.588 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 14.588 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 14.588 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (+ (pow im 2) (pow re 2)) 1/6)) in re 14.588 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 14.588 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.588 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 14.588 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 14.588 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 14.588 * [taylor]: Taking taylor expansion of 1/6 in re 14.588 * [backup-simplify]: Simplify 1/6 into 1/6 14.588 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 14.588 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.588 * [taylor]: Taking taylor expansion of im in re 14.588 * [backup-simplify]: Simplify im into im 14.588 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.588 * [taylor]: Taking taylor expansion of re in re 14.588 * [backup-simplify]: Simplify 0 into 0 14.588 * [backup-simplify]: Simplify 1 into 1 14.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.588 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.588 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 14.588 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 14.588 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 14.589 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (pow im 2) 1/6)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 14.589 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) in im 14.589 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 14.589 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.589 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 14.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 14.589 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 14.589 * [taylor]: Taking taylor expansion of 1/3 in im 14.589 * [backup-simplify]: Simplify 1/3 into 1/3 14.589 * [taylor]: Taking taylor expansion of (log im) in im 14.589 * [taylor]: Taking taylor expansion of im in im 14.589 * [backup-simplify]: Simplify 0 into 0 14.589 * [backup-simplify]: Simplify 1 into 1 14.589 * [backup-simplify]: Simplify (log 1) into 0 14.590 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.590 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 14.590 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 14.590 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 14.590 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) 14.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.590 * [backup-simplify]: Simplify (+ 0 0) into 0 14.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 14.591 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 14.592 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.592 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (* 0 (pow (pow im 2) 1/6))) into 0 14.592 * [taylor]: Taking taylor expansion of 0 in im 14.592 * [backup-simplify]: Simplify 0 into 0 14.592 * [backup-simplify]: Simplify 0 into 0 14.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.593 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.593 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 14.594 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 14.594 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (* 0 (pow im 1/3))) into 0 14.594 * [backup-simplify]: Simplify 0 into 0 14.594 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.595 * [backup-simplify]: Simplify (* 1 1) into 1 14.595 * [backup-simplify]: Simplify (+ 0 1) into 1 14.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 14.596 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 14.597 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 14.597 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/6)))) into (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 14.597 * [taylor]: Taking taylor expansion of (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) in im 14.597 * [taylor]: Taking taylor expansion of 1/6 in im 14.597 * [backup-simplify]: Simplify 1/6 into 1/6 14.597 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3)) in im 14.597 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 14.597 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 14.597 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 14.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 14.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 14.597 * [taylor]: Taking taylor expansion of 1/3 in im 14.597 * [backup-simplify]: Simplify 1/3 into 1/3 14.597 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 14.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 14.598 * [taylor]: Taking taylor expansion of (pow im 5) in im 14.598 * [taylor]: Taking taylor expansion of im in im 14.598 * [backup-simplify]: Simplify 0 into 0 14.598 * [backup-simplify]: Simplify 1 into 1 14.598 * [backup-simplify]: Simplify (* 1 1) into 1 14.598 * [backup-simplify]: Simplify (* 1 1) into 1 14.598 * [backup-simplify]: Simplify (* 1 1) into 1 14.598 * [backup-simplify]: Simplify (/ 1 1) into 1 14.599 * [backup-simplify]: Simplify (log 1) into 0 14.599 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 14.599 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 14.599 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 14.599 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im -5/3)) into (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3)) 14.599 * [backup-simplify]: Simplify (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) into (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 14.600 * [backup-simplify]: Simplify (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) into (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) 14.600 * [backup-simplify]: Simplify 0 into 0 14.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.601 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 14.603 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.603 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (+ (* 0 0) (* 0 (pow im 1/3)))) into 0 14.603 * [backup-simplify]: Simplify 0 into 0 14.604 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.604 * [backup-simplify]: Simplify (+ 0 0) into 0 14.606 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 14.607 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 14.608 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.608 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/6))))) into 0 14.608 * [taylor]: Taking taylor expansion of 0 in im 14.608 * [backup-simplify]: Simplify 0 into 0 14.609 * [backup-simplify]: Simplify 0 into 0 14.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.611 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 14.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 14.612 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 14.612 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (* 0 (pow im -5/3))) into 0 14.613 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3)))) into 0 14.613 * [backup-simplify]: Simplify 0 into 0 14.613 * [backup-simplify]: Simplify 0 into 0 14.617 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.617 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.618 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 14.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.621 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow im 1/3))))) into 0 14.621 * [backup-simplify]: Simplify 0 into 0 14.622 * [backup-simplify]: Simplify (+ (* (* 1/6 (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow (/ 1 (pow im 5)) 1/3))) (pow (* 1 re) 2)) (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3))) into (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) (* 1/6 (* (* (pow re 2) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 5)) 1/3)))) 14.622 * [backup-simplify]: Simplify (* (fabs (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.622 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in (re im) around 0 14.623 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.623 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 14.623 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.623 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.623 * [taylor]: Taking taylor expansion of 1/6 in im 14.623 * [backup-simplify]: Simplify 1/6 into 1/6 14.623 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.623 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.623 * [taylor]: Taking taylor expansion of re in im 14.623 * [backup-simplify]: Simplify re into re 14.623 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.623 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.623 * [taylor]: Taking taylor expansion of im in im 14.623 * [backup-simplify]: Simplify 0 into 0 14.623 * [backup-simplify]: Simplify 1 into 1 14.624 * [backup-simplify]: Simplify (* 1 1) into 1 14.624 * [backup-simplify]: Simplify (/ 1 1) into 1 14.624 * [backup-simplify]: Simplify (+ 0 1) into 1 14.625 * [backup-simplify]: Simplify (log 1) into 0 14.625 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.625 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 14.625 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 14.625 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.626 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.626 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.626 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.626 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.626 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.626 * [taylor]: Taking taylor expansion of 1/6 in re 14.626 * [backup-simplify]: Simplify 1/6 into 1/6 14.626 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.626 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.626 * [taylor]: Taking taylor expansion of re in re 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [backup-simplify]: Simplify 1 into 1 14.626 * [backup-simplify]: Simplify (* 1 1) into 1 14.627 * [backup-simplify]: Simplify (/ 1 1) into 1 14.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.627 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.627 * [taylor]: Taking taylor expansion of im in re 14.627 * [backup-simplify]: Simplify im into im 14.627 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.627 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.628 * [backup-simplify]: Simplify (+ 1 0) into 1 14.628 * [backup-simplify]: Simplify (log 1) into 0 14.628 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.629 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.629 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.629 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.629 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.629 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.629 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.629 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.629 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.629 * [taylor]: Taking taylor expansion of 1/6 in re 14.629 * [backup-simplify]: Simplify 1/6 into 1/6 14.629 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.629 * [taylor]: Taking taylor expansion of re in re 14.629 * [backup-simplify]: Simplify 0 into 0 14.629 * [backup-simplify]: Simplify 1 into 1 14.630 * [backup-simplify]: Simplify (* 1 1) into 1 14.630 * [backup-simplify]: Simplify (/ 1 1) into 1 14.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.630 * [taylor]: Taking taylor expansion of im in re 14.630 * [backup-simplify]: Simplify im into im 14.630 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.631 * [backup-simplify]: Simplify (+ 1 0) into 1 14.631 * [backup-simplify]: Simplify (log 1) into 0 14.632 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.632 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.632 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.632 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.632 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.632 * [backup-simplify]: Simplify (* (pow re -1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.632 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.632 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.633 * [taylor]: Taking taylor expansion of 1/3 in im 14.633 * [backup-simplify]: Simplify 1/3 into 1/3 14.633 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.633 * [taylor]: Taking taylor expansion of re in im 14.633 * [backup-simplify]: Simplify re into re 14.633 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.633 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.633 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.633 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.633 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.633 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.634 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.634 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.636 * [backup-simplify]: Simplify (+ 0 0) into 0 14.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.638 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.638 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 14.639 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.640 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.640 * [taylor]: Taking taylor expansion of 0 in im 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.641 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.642 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.642 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.642 * [backup-simplify]: Simplify 0 into 0 14.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.645 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.647 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.648 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 14.649 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 14.650 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) 14.650 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) in im 14.650 * [taylor]: Taking taylor expansion of 1/6 in im 14.650 * [backup-simplify]: Simplify 1/6 into 1/6 14.650 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2))) in im 14.650 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.650 * [taylor]: Taking taylor expansion of 1/3 in im 14.650 * [backup-simplify]: Simplify 1/3 into 1/3 14.650 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.650 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.650 * [taylor]: Taking taylor expansion of re in im 14.650 * [backup-simplify]: Simplify re into re 14.650 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.650 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.650 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.651 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.651 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)) in im 14.651 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.651 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.651 * [taylor]: Taking taylor expansion of im in im 14.651 * [backup-simplify]: Simplify 0 into 0 14.651 * [backup-simplify]: Simplify 1 into 1 14.651 * [backup-simplify]: Simplify (* 1 1) into 1 14.652 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 1) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)))) into 0 14.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.659 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 14.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 14.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 14.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.664 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 14.664 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.665 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.666 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 14.666 * [backup-simplify]: Simplify 0 into 0 14.666 * [backup-simplify]: Simplify 0 into 0 14.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 14.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 14.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 14.670 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.670 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 14.671 * [backup-simplify]: Simplify 0 into 0 14.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.673 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.673 * [backup-simplify]: Simplify (+ 0 0) into 0 14.677 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.677 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.684 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 14.686 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.687 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (+ (* 0 0) (+ (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 14.687 * [taylor]: Taking taylor expansion of 0 in im 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 re)) 1/3) (fabs (pow (+ (/ 1 (pow (/ 1 re) 2)) (/ 1 (pow (/ 1 im) 2))) 1/3))) into (* (pow re 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 14.687 * [backup-simplify]: Simplify (* (fabs (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.688 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in (re im) around 0 14.688 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.688 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 14.688 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 14.688 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.688 * [taylor]: Taking taylor expansion of 1/6 in im 14.688 * [backup-simplify]: Simplify 1/6 into 1/6 14.688 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.688 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.688 * [taylor]: Taking taylor expansion of re in im 14.688 * [backup-simplify]: Simplify re into re 14.688 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.688 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.688 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.688 * [taylor]: Taking taylor expansion of im in im 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 1 into 1 14.688 * [backup-simplify]: Simplify (* 1 1) into 1 14.689 * [backup-simplify]: Simplify (/ 1 1) into 1 14.689 * [backup-simplify]: Simplify (+ 0 1) into 1 14.689 * [backup-simplify]: Simplify (log 1) into 0 14.689 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 14.689 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 14.690 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 14.690 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.690 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.690 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.690 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.690 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.690 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.690 * [taylor]: Taking taylor expansion of 1/6 in re 14.690 * [backup-simplify]: Simplify 1/6 into 1/6 14.690 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.690 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.690 * [taylor]: Taking taylor expansion of re in re 14.690 * [backup-simplify]: Simplify 0 into 0 14.690 * [backup-simplify]: Simplify 1 into 1 14.690 * [backup-simplify]: Simplify (* 1 1) into 1 14.690 * [backup-simplify]: Simplify (/ 1 1) into 1 14.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.691 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.691 * [taylor]: Taking taylor expansion of im in re 14.691 * [backup-simplify]: Simplify im into im 14.691 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.691 * [backup-simplify]: Simplify (+ 1 0) into 1 14.691 * [backup-simplify]: Simplify (log 1) into 0 14.691 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.692 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.692 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.692 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.692 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.692 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 14.692 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 14.692 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 14.692 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.692 * [taylor]: Taking taylor expansion of 1/6 in re 14.692 * [backup-simplify]: Simplify 1/6 into 1/6 14.692 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.692 * [taylor]: Taking taylor expansion of re in re 14.692 * [backup-simplify]: Simplify 0 into 0 14.692 * [backup-simplify]: Simplify 1 into 1 14.692 * [backup-simplify]: Simplify (* 1 1) into 1 14.692 * [backup-simplify]: Simplify (/ 1 1) into 1 14.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.692 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.693 * [taylor]: Taking taylor expansion of im in re 14.693 * [backup-simplify]: Simplify im into im 14.693 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.693 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.693 * [backup-simplify]: Simplify (+ 1 0) into 1 14.693 * [backup-simplify]: Simplify (log 1) into 0 14.693 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.693 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 14.694 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 14.694 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 14.694 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.694 * [backup-simplify]: Simplify (* (pow re -1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.694 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 14.694 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.694 * [taylor]: Taking taylor expansion of 1/3 in im 14.694 * [backup-simplify]: Simplify 1/3 into 1/3 14.694 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.694 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.694 * [taylor]: Taking taylor expansion of re in im 14.694 * [backup-simplify]: Simplify re into re 14.694 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.694 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.694 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.694 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.694 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.694 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.695 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.695 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.696 * [backup-simplify]: Simplify (+ 0 0) into 0 14.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.697 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.697 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 14.698 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 14.698 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.698 * [taylor]: Taking taylor expansion of 0 in im 14.698 * [backup-simplify]: Simplify 0 into 0 14.698 * [backup-simplify]: Simplify 0 into 0 14.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.699 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.700 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.700 * [backup-simplify]: Simplify 0 into 0 14.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.701 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 14.702 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.702 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 14.703 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 14.704 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) 14.704 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)))) in im 14.704 * [taylor]: Taking taylor expansion of 1/6 in im 14.704 * [backup-simplify]: Simplify 1/6 into 1/6 14.704 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2))) in im 14.704 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 14.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 14.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 14.704 * [taylor]: Taking taylor expansion of 1/3 in im 14.704 * [backup-simplify]: Simplify 1/3 into 1/3 14.704 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 14.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.704 * [taylor]: Taking taylor expansion of re in im 14.704 * [backup-simplify]: Simplify re into re 14.704 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.704 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 14.704 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 14.704 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 14.704 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (pow im 2)) in im 14.704 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 14.704 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.704 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.704 * [taylor]: Taking taylor expansion of im in im 14.704 * [backup-simplify]: Simplify 0 into 0 14.704 * [backup-simplify]: Simplify 1 into 1 14.705 * [backup-simplify]: Simplify (* 1 1) into 1 14.705 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 1) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 14.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)))) into 0 14.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 14.708 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 14.709 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 14.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 14.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 14.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.711 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 14.712 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into 0 14.712 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 14.712 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (pow (/ 1 re) 1/3) (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 14.712 * [backup-simplify]: Simplify 0 into 0 14.712 * [backup-simplify]: Simplify 0 into 0 14.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 14.714 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 14.714 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 14.715 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.715 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 14.715 * [backup-simplify]: Simplify 0 into 0 14.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.717 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.717 * [backup-simplify]: Simplify (+ 0 0) into 0 14.719 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.720 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 14.720 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 14.721 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.722 * [backup-simplify]: Simplify (+ (* (pow re -1/3) 0) (+ (* 0 0) (+ (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0) (* 0 (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 14.722 * [taylor]: Taking taylor expansion of 0 in im 14.722 * [backup-simplify]: Simplify 0 into 0 14.722 * [backup-simplify]: Simplify 0 into 0 14.722 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- re))) 1/3) (fabs (pow (+ (/ 1 (pow (/ 1 (- re)) 2)) (/ 1 (pow (/ 1 (- im)) 2))) 1/3))) into (* (pow (* re -1) 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 14.722 * * * [progress]: simplifying candidates 14.722 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 14.722 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 14.723 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 14.723 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 14.723 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 14.723 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 14.723 * * [simplify]: iters left: 6 (8 enodes) 14.725 * * [simplify]: iters left: 5 (25 enodes) 14.728 * * [simplify]: Extracting #0: cost 1 inf + 0 14.728 * * [simplify]: Extracting #1: cost 3 inf + 0 14.728 * * [simplify]: Extracting #2: cost 5 inf + 0 14.728 * * [simplify]: Extracting #3: cost 7 inf + 0 14.728 * * [simplify]: Extracting #4: cost 10 inf + 0 14.728 * * [simplify]: Extracting #5: cost 14 inf + 0 14.728 * * [simplify]: Extracting #6: cost 11 inf + 43 14.728 * * [simplify]: Extracting #7: cost 9 inf + 125 14.728 * * [simplify]: Extracting #8: cost 5 inf + 612 14.728 * * [simplify]: Extracting #9: cost 1 inf + 1620 14.729 * * [simplify]: Extracting #10: cost 0 inf + 1942 14.729 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 14.729 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im))))))) re))))) 14.729 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 14.729 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 14.729 * * [simplify]: iters left: 6 (7 enodes) 14.731 * * [simplify]: iters left: 5 (22 enodes) 14.734 * * [simplify]: Extracting #0: cost 1 inf + 0 14.734 * * [simplify]: Extracting #1: cost 3 inf + 0 14.734 * * [simplify]: Extracting #2: cost 5 inf + 0 14.734 * * [simplify]: Extracting #3: cost 8 inf + 0 14.734 * * [simplify]: Extracting #4: cost 12 inf + 0 14.734 * * [simplify]: Extracting #5: cost 10 inf + 2 14.734 * * [simplify]: Extracting #6: cost 1 inf + 976 14.734 * * [simplify]: Extracting #7: cost 0 inf + 1218 14.735 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 14.735 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 14.735 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 14.735 * [simplify]: Simplifying (cbrt 1) 14.735 * * [simplify]: iters left: 1 (2 enodes) 14.737 * * [simplify]: Extracting #0: cost 1 inf + 0 14.737 * * [simplify]: Extracting #1: cost 0 inf + 1 14.737 * [simplify]: Simplified to 1 14.737 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* 1 (cbrt (+ (* re re) (* im im)))))) re))))) 14.738 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 14.738 * [simplify]: Simplifying (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) 14.738 * * [simplify]: iters left: 6 (9 enodes) 14.741 * * [simplify]: iters left: 5 (45 enodes) 14.755 * * [simplify]: iters left: 4 (100 enodes) 14.784 * * [simplify]: iters left: 3 (201 enodes) 14.868 * * [simplify]: iters left: 2 (406 enodes) 15.036 * * [simplify]: Extracting #0: cost 1 inf + 0 15.037 * * [simplify]: Extracting #1: cost 3 inf + 0 15.037 * * [simplify]: Extracting #2: cost 6 inf + 0 15.037 * * [simplify]: Extracting #3: cost 62 inf + 0 15.037 * * [simplify]: Extracting #4: cost 166 inf + 460 15.039 * * [simplify]: Extracting #5: cost 131 inf + 12991 15.043 * * [simplify]: Extracting #6: cost 49 inf + 45826 15.050 * * [simplify]: Extracting #7: cost 1 inf + 66336 15.062 * * [simplify]: Extracting #8: cost 0 inf + 65999 15.072 * [simplify]: Simplified to (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 15.072 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (/ (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 15.073 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 15.073 * [simplify]: Simplifying (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.073 * * [simplify]: iters left: 6 (8 enodes) 15.078 * * [simplify]: iters left: 5 (37 enodes) 15.091 * * [simplify]: iters left: 4 (67 enodes) 15.114 * * [simplify]: iters left: 3 (123 enodes) 15.168 * * [simplify]: iters left: 2 (278 enodes) 15.315 * * [simplify]: Extracting #0: cost 1 inf + 0 15.315 * * [simplify]: Extracting #1: cost 3 inf + 0 15.315 * * [simplify]: Extracting #2: cost 50 inf + 0 15.316 * * [simplify]: Extracting #3: cost 150 inf + 0 15.316 * * [simplify]: Extracting #4: cost 194 inf + 1220 15.319 * * [simplify]: Extracting #5: cost 123 inf + 12501 15.325 * * [simplify]: Extracting #6: cost 12 inf + 33884 15.336 * * [simplify]: Extracting #7: cost 0 inf + 36209 15.355 * [simplify]: Simplified to (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.355 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (/ (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im)))))) re))))) 15.355 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 15.355 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 15.355 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 15.356 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 15.356 * * * * [progress]: [ 14 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im))))))) re)))))> 15.356 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 15.356 * * * * [progress]: [ 16 / 82 ] simplifiying candidate # 15.356 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 15.356 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 15.356 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 15.356 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 15.356 * * [simplify]: iters left: 6 (8 enodes) 15.358 * * [simplify]: iters left: 5 (25 enodes) 15.361 * * [simplify]: Extracting #0: cost 1 inf + 0 15.361 * * [simplify]: Extracting #1: cost 3 inf + 0 15.361 * * [simplify]: Extracting #2: cost 5 inf + 0 15.361 * * [simplify]: Extracting #3: cost 7 inf + 0 15.361 * * [simplify]: Extracting #4: cost 10 inf + 0 15.361 * * [simplify]: Extracting #5: cost 14 inf + 0 15.362 * * [simplify]: Extracting #6: cost 11 inf + 43 15.362 * * [simplify]: Extracting #7: cost 9 inf + 125 15.362 * * [simplify]: Extracting #8: cost 5 inf + 612 15.362 * * [simplify]: Extracting #9: cost 1 inf + 1620 15.362 * * [simplify]: Extracting #10: cost 0 inf + 1942 15.363 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 15.363 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 15.363 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 15.363 * [simplify]: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) 15.363 * * [simplify]: iters left: 6 (7 enodes) 15.364 * * [simplify]: iters left: 5 (22 enodes) 15.367 * * [simplify]: Extracting #0: cost 1 inf + 0 15.367 * * [simplify]: Extracting #1: cost 3 inf + 0 15.367 * * [simplify]: Extracting #2: cost 5 inf + 0 15.367 * * [simplify]: Extracting #3: cost 8 inf + 0 15.368 * * [simplify]: Extracting #4: cost 12 inf + 0 15.368 * * [simplify]: Extracting #5: cost 10 inf + 2 15.368 * * [simplify]: Extracting #6: cost 1 inf + 976 15.368 * * [simplify]: Extracting #7: cost 0 inf + 1218 15.368 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 15.368 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 15.369 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 15.369 * [simplify]: Simplifying (cbrt 1) 15.369 * * [simplify]: iters left: 1 (2 enodes) 15.371 * * [simplify]: Extracting #0: cost 1 inf + 0 15.371 * * [simplify]: Extracting #1: cost 0 inf + 1 15.371 * [simplify]: Simplified to 1 15.371 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (* 1 (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 15.371 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 15.372 * [simplify]: Simplifying (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) 15.372 * * [simplify]: iters left: 6 (9 enodes) 15.374 * * [simplify]: iters left: 5 (45 enodes) 15.385 * * [simplify]: iters left: 4 (100 enodes) 15.411 * * [simplify]: iters left: 3 (201 enodes) 15.472 * * [simplify]: iters left: 2 (406 enodes) 15.612 * * [simplify]: Extracting #0: cost 1 inf + 0 15.612 * * [simplify]: Extracting #1: cost 3 inf + 0 15.612 * * [simplify]: Extracting #2: cost 6 inf + 0 15.612 * * [simplify]: Extracting #3: cost 62 inf + 0 15.613 * * [simplify]: Extracting #4: cost 166 inf + 460 15.616 * * [simplify]: Extracting #5: cost 131 inf + 12991 15.624 * * [simplify]: Extracting #6: cost 49 inf + 45826 15.642 * * [simplify]: Extracting #7: cost 1 inf + 66336 15.653 * * [simplify]: Extracting #8: cost 0 inf + 65999 15.659 * [simplify]: Simplified to (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 15.659 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (/ (cbrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 15.659 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 15.660 * [simplify]: Simplifying (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.660 * * [simplify]: iters left: 6 (8 enodes) 15.662 * * [simplify]: iters left: 5 (37 enodes) 15.668 * * [simplify]: iters left: 4 (67 enodes) 15.680 * * [simplify]: iters left: 3 (123 enodes) 15.714 * * [simplify]: iters left: 2 (278 enodes) 15.831 * * [simplify]: Extracting #0: cost 1 inf + 0 15.832 * * [simplify]: Extracting #1: cost 3 inf + 0 15.832 * * [simplify]: Extracting #2: cost 50 inf + 0 15.833 * * [simplify]: Extracting #3: cost 150 inf + 0 15.835 * * [simplify]: Extracting #4: cost 194 inf + 1220 15.837 * * [simplify]: Extracting #5: cost 123 inf + 12501 15.843 * * [simplify]: Extracting #6: cost 12 inf + 33884 15.851 * * [simplify]: Extracting #7: cost 0 inf + 36209 15.859 * [simplify]: Simplified to (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 15.859 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (/ (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 15.859 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 15.859 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 15.859 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 15.859 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 15.859 * * * * [progress]: [ 28 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))> 15.859 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 15.860 * [simplify]: Simplifying (/ (exp (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (exp re)) 15.860 * * [simplify]: iters left: 6 (12 enodes) 15.863 * * [simplify]: iters left: 5 (42 enodes) 15.874 * * [simplify]: iters left: 4 (54 enodes) 15.889 * * [simplify]: iters left: 3 (74 enodes) 15.917 * * [simplify]: iters left: 2 (114 enodes) 15.938 * * [simplify]: iters left: 1 (225 enodes) 16.012 * * [simplify]: Extracting #0: cost 1 inf + 0 16.012 * * [simplify]: Extracting #1: cost 49 inf + 0 16.012 * * [simplify]: Extracting #2: cost 146 inf + 0 16.013 * * [simplify]: Extracting #3: cost 181 inf + 156 16.013 * * [simplify]: Extracting #4: cost 183 inf + 381 16.014 * * [simplify]: Extracting #5: cost 184 inf + 564 16.015 * * [simplify]: Extracting #6: cost 186 inf + 605 16.017 * * [simplify]: Extracting #7: cost 141 inf + 16504 16.028 * * [simplify]: Extracting #8: cost 49 inf + 74550 16.064 * * [simplify]: Extracting #9: cost 0 inf + 117199 16.085 * * [simplify]: Extracting #10: cost 0 inf + 115373 16.121 * [simplify]: Simplified to (exp (- (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) re)) 16.121 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) re))))))) 16.121 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 32 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 33 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 16.121 * * * * [progress]: [ 41 / 82 ] simplifiying candidate #real (real->posit16 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))> 16.122 * * * * [progress]: [ 42 / 82 ] simplifiying candidate # 16.122 * [simplify]: Simplifying (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) 16.122 * * [simplify]: iters left: 6 (9 enodes) 16.124 * * [simplify]: iters left: 5 (29 enodes) 16.128 * * [simplify]: Extracting #0: cost 1 inf + 0 16.128 * * [simplify]: Extracting #1: cost 4 inf + 0 16.128 * * [simplify]: Extracting #2: cost 7 inf + 0 16.128 * * [simplify]: Extracting #3: cost 9 inf + 0 16.128 * * [simplify]: Extracting #4: cost 12 inf + 0 16.128 * * [simplify]: Extracting #5: cost 16 inf + 0 16.128 * * [simplify]: Extracting #6: cost 12 inf + 84 16.128 * * [simplify]: Extracting #7: cost 10 inf + 166 16.128 * * [simplify]: Extracting #8: cost 6 inf + 854 16.128 * * [simplify]: Extracting #9: cost 2 inf + 1862 16.129 * * [simplify]: Extracting #10: cost 0 inf + 2426 16.129 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) 16.129 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) 1) re))))) 16.129 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 16.129 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 16.129 * [simplify]: Simplifying (+ (log (fabs (cbrt (+ (* re re) (* im im))))) (log (sqrt (cbrt (+ (* re re) (* im im)))))) 16.130 * * [simplify]: iters left: 6 (11 enodes) 16.132 * * [simplify]: iters left: 5 (35 enodes) 16.136 * * [simplify]: Extracting #0: cost 1 inf + 0 16.136 * * [simplify]: Extracting #1: cost 4 inf + 0 16.136 * * [simplify]: Extracting #2: cost 8 inf + 0 16.136 * * [simplify]: Extracting #3: cost 11 inf + 0 16.136 * * [simplify]: Extracting #4: cost 13 inf + 0 16.136 * * [simplify]: Extracting #5: cost 16 inf + 0 16.136 * * [simplify]: Extracting #6: cost 20 inf + 0 16.136 * * [simplify]: Extracting #7: cost 16 inf + 84 16.137 * * [simplify]: Extracting #8: cost 14 inf + 166 16.137 * * [simplify]: Extracting #9: cost 12 inf + 490 16.137 * * [simplify]: Extracting #10: cost 5 inf + 2164 16.137 * * [simplify]: Extracting #11: cost 0 inf + 3954 16.138 * [simplify]: Simplified to (+ (log (sqrt (cbrt (+ (* re re) (* im im))))) (log (fabs (cbrt (+ (* re re) (* im im)))))) 16.138 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (cbrt (+ (* re re) (* im im))))) (log (fabs (cbrt (+ (* re re) (* im im))))))) re))))) 16.138 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 16.138 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 16.138 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 16.138 * [simplify]: Simplifying (* (* (* (fabs (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))) (fabs (cbrt (+ (* re re) (* im im))))) (* (* (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) 16.138 * * [simplify]: iters left: 6 (13 enodes) 16.144 * * [simplify]: iters left: 5 (45 enodes) 16.156 * * [simplify]: iters left: 4 (75 enodes) 16.183 * * [simplify]: iters left: 3 (131 enodes) 16.224 * * [simplify]: iters left: 2 (201 enodes) 16.291 * * [simplify]: iters left: 1 (360 enodes) 16.429 * * [simplify]: Extracting #0: cost 1 inf + 0 16.429 * * [simplify]: Extracting #1: cost 51 inf + 0 16.430 * * [simplify]: Extracting #2: cost 153 inf + 1 16.431 * * [simplify]: Extracting #3: cost 163 inf + 3 16.432 * * [simplify]: Extracting #4: cost 167 inf + 4 16.433 * * [simplify]: Extracting #5: cost 158 inf + 415 16.435 * * [simplify]: Extracting #6: cost 151 inf + 2360 16.448 * * [simplify]: Extracting #7: cost 98 inf + 28982 16.474 * * [simplify]: Extracting #8: cost 10 inf + 90514 16.507 * * [simplify]: Extracting #9: cost 0 inf + 98803 16.530 * [simplify]: Simplified to (* (* (cbrt (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (+ (* re re) (* im im)))) (* (fabs (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im))))))) 16.530 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (cbrt (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (+ (* re re) (* im im)))) (* (fabs (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))))))) re))))) 16.530 * * * * [progress]: [ 48 / 82 ] simplifiying candidate # 16.530 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 16.530 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 16.530 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 16.530 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 16.530 * [simplify]: Simplifying (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 16.531 * * [simplify]: iters left: 6 (12 enodes) 16.533 * * [simplify]: iters left: 5 (38 enodes) 16.538 * * [simplify]: Extracting #0: cost 1 inf + 0 16.538 * * [simplify]: Extracting #1: cost 4 inf + 0 16.538 * * [simplify]: Extracting #2: cost 8 inf + 0 16.538 * * [simplify]: Extracting #3: cost 12 inf + 0 16.538 * * [simplify]: Extracting #4: cost 15 inf + 0 16.538 * * [simplify]: Extracting #5: cost 18 inf + 0 16.538 * * [simplify]: Extracting #6: cost 22 inf + 0 16.538 * * [simplify]: Extracting #7: cost 18 inf + 84 16.538 * * [simplify]: Extracting #8: cost 9 inf + 1420 16.539 * * [simplify]: Extracting #9: cost 0 inf + 4198 16.539 * [simplify]: Simplified to (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 16.539 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 16.540 * [simplify]: Simplifying (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 16.540 * * [simplify]: iters left: 6 (12 enodes) 16.542 * * [simplify]: iters left: 5 (38 enodes) 16.547 * * [simplify]: Extracting #0: cost 1 inf + 0 16.547 * * [simplify]: Extracting #1: cost 4 inf + 0 16.547 * * [simplify]: Extracting #2: cost 8 inf + 0 16.547 * * [simplify]: Extracting #3: cost 12 inf + 0 16.547 * * [simplify]: Extracting #4: cost 15 inf + 0 16.547 * * [simplify]: Extracting #5: cost 18 inf + 0 16.547 * * [simplify]: Extracting #6: cost 22 inf + 0 16.547 * * [simplify]: Extracting #7: cost 18 inf + 84 16.548 * * [simplify]: Extracting #8: cost 9 inf + 1420 16.548 * * [simplify]: Extracting #9: cost 0 inf + 4198 16.549 * [simplify]: Simplified to (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 16.549 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 16.549 * * * * [progress]: [ 53 / 82 ] simplifiying candidate # 16.549 * [simplify]: Simplifying (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 16.549 * * [simplify]: iters left: 6 (11 enodes) 16.551 * * [simplify]: iters left: 5 (35 enodes) 16.557 * * [simplify]: Extracting #0: cost 1 inf + 0 16.557 * * [simplify]: Extracting #1: cost 4 inf + 0 16.557 * * [simplify]: Extracting #2: cost 8 inf + 0 16.558 * * [simplify]: Extracting #3: cost 11 inf + 0 16.558 * * [simplify]: Extracting #4: cost 13 inf + 0 16.558 * * [simplify]: Extracting #5: cost 16 inf + 0 16.558 * * [simplify]: Extracting #6: cost 20 inf + 0 16.558 * * [simplify]: Extracting #7: cost 16 inf + 84 16.558 * * [simplify]: Extracting #8: cost 14 inf + 166 16.558 * * [simplify]: Extracting #9: cost 12 inf + 490 16.559 * * [simplify]: Extracting #10: cost 5 inf + 2104 16.560 * * [simplify]: Extracting #11: cost 0 inf + 3714 16.561 * [simplify]: Simplified to (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 16.561 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 16.561 * [simplify]: Simplifying (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 16.561 * * [simplify]: iters left: 6 (11 enodes) 16.566 * * [simplify]: iters left: 5 (35 enodes) 16.575 * * [simplify]: Extracting #0: cost 1 inf + 0 16.575 * * [simplify]: Extracting #1: cost 4 inf + 0 16.575 * * [simplify]: Extracting #2: cost 8 inf + 0 16.575 * * [simplify]: Extracting #3: cost 11 inf + 0 16.575 * * [simplify]: Extracting #4: cost 13 inf + 0 16.575 * * [simplify]: Extracting #5: cost 16 inf + 0 16.575 * * [simplify]: Extracting #6: cost 20 inf + 0 16.576 * * [simplify]: Extracting #7: cost 16 inf + 84 16.576 * * [simplify]: Extracting #8: cost 14 inf + 166 16.576 * * [simplify]: Extracting #9: cost 12 inf + 490 16.576 * * [simplify]: Extracting #10: cost 5 inf + 2104 16.577 * * [simplify]: Extracting #11: cost 0 inf + 3714 16.578 * [simplify]: Simplified to (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 16.579 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))) re))))) 16.579 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 16.579 * [simplify]: Simplifying (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 16.579 * * [simplify]: iters left: 6 (11 enodes) 16.584 * * [simplify]: iters left: 5 (35 enodes) 16.595 * * [simplify]: Extracting #0: cost 1 inf + 0 16.595 * * [simplify]: Extracting #1: cost 4 inf + 0 16.595 * * [simplify]: Extracting #2: cost 8 inf + 0 16.595 * * [simplify]: Extracting #3: cost 11 inf + 0 16.595 * * [simplify]: Extracting #4: cost 13 inf + 0 16.595 * * [simplify]: Extracting #5: cost 16 inf + 0 16.595 * * [simplify]: Extracting #6: cost 20 inf + 0 16.596 * * [simplify]: Extracting #7: cost 16 inf + 84 16.596 * * [simplify]: Extracting #8: cost 14 inf + 166 16.596 * * [simplify]: Extracting #9: cost 12 inf + 490 16.597 * * [simplify]: Extracting #10: cost 5 inf + 2104 16.597 * * [simplify]: Extracting #11: cost 0 inf + 3714 16.599 * [simplify]: Simplified to (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 16.599 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 16.599 * [simplify]: Simplifying (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 16.599 * * [simplify]: iters left: 6 (11 enodes) 16.604 * * [simplify]: iters left: 5 (35 enodes) 16.613 * * [simplify]: Extracting #0: cost 1 inf + 0 16.613 * * [simplify]: Extracting #1: cost 4 inf + 0 16.613 * * [simplify]: Extracting #2: cost 8 inf + 0 16.613 * * [simplify]: Extracting #3: cost 11 inf + 0 16.613 * * [simplify]: Extracting #4: cost 13 inf + 0 16.614 * * [simplify]: Extracting #5: cost 16 inf + 0 16.614 * * [simplify]: Extracting #6: cost 20 inf + 0 16.614 * * [simplify]: Extracting #7: cost 16 inf + 84 16.614 * * [simplify]: Extracting #8: cost 14 inf + 166 16.614 * * [simplify]: Extracting #9: cost 12 inf + 490 16.615 * * [simplify]: Extracting #10: cost 5 inf + 2104 16.616 * * [simplify]: Extracting #11: cost 0 inf + 3714 16.617 * [simplify]: Simplified to (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 16.617 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))) re))))) 16.617 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 16.617 * [simplify]: Simplifying (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) 16.617 * * [simplify]: iters left: 6 (8 enodes) 16.621 * * [simplify]: iters left: 5 (25 enodes) 16.628 * * [simplify]: Extracting #0: cost 1 inf + 0 16.628 * * [simplify]: Extracting #1: cost 3 inf + 0 16.628 * * [simplify]: Extracting #2: cost 5 inf + 0 16.628 * * [simplify]: Extracting #3: cost 7 inf + 0 16.628 * * [simplify]: Extracting #4: cost 10 inf + 0 16.628 * * [simplify]: Extracting #5: cost 14 inf + 0 16.629 * * [simplify]: Extracting #6: cost 11 inf + 43 16.629 * * [simplify]: Extracting #7: cost 9 inf + 125 16.629 * * [simplify]: Extracting #8: cost 5 inf + 612 16.629 * * [simplify]: Extracting #9: cost 1 inf + 1620 16.630 * * [simplify]: Extracting #10: cost 0 inf + 1942 16.630 * [simplify]: Simplified to (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) 16.630 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 16.631 * * * * [progress]: [ 56 / 82 ] simplifiying candidate # 16.631 * [simplify]: Simplifying (sqrt (cbrt (cbrt (+ (* re re) (* im im))))) 16.631 * * [simplify]: iters left: 6 (8 enodes) 16.634 * * [simplify]: iters left: 5 (25 enodes) 16.641 * * [simplify]: Extracting #0: cost 1 inf + 0 16.641 * * [simplify]: Extracting #1: cost 3 inf + 0 16.641 * * [simplify]: Extracting #2: cost 5 inf + 0 16.641 * * [simplify]: Extracting #3: cost 7 inf + 0 16.641 * * [simplify]: Extracting #4: cost 10 inf + 0 16.641 * * [simplify]: Extracting #5: cost 14 inf + 0 16.641 * * [simplify]: Extracting #6: cost 11 inf + 43 16.642 * * [simplify]: Extracting #7: cost 9 inf + 125 16.642 * * [simplify]: Extracting #8: cost 5 inf + 612 16.642 * * [simplify]: Extracting #9: cost 1 inf + 1700 16.643 * * [simplify]: Extracting #10: cost 0 inf + 2022 16.643 * [simplify]: Simplified to (sqrt (cbrt (cbrt (+ (* re re) (* im im))))) 16.643 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im)))))) re))))) 16.644 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 16.644 * [simplify]: Simplifying (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 16.644 * * [simplify]: iters left: 6 (8 enodes) 16.648 * * [simplify]: iters left: 5 (25 enodes) 16.655 * * [simplify]: Extracting #0: cost 1 inf + 0 16.655 * * [simplify]: Extracting #1: cost 3 inf + 0 16.655 * * [simplify]: Extracting #2: cost 5 inf + 0 16.655 * * [simplify]: Extracting #3: cost 7 inf + 0 16.655 * * [simplify]: Extracting #4: cost 10 inf + 0 16.655 * * [simplify]: Extracting #5: cost 14 inf + 0 16.655 * * [simplify]: Extracting #6: cost 11 inf + 43 16.655 * * [simplify]: Extracting #7: cost 9 inf + 125 16.655 * * [simplify]: Extracting #8: cost 5 inf + 572 16.656 * * [simplify]: Extracting #9: cost 1 inf + 1500 16.656 * * [simplify]: Extracting #10: cost 0 inf + 1782 16.657 * [simplify]: Simplified to (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 16.657 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 16.657 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 16.657 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 16.658 * * [simplify]: iters left: 6 (7 enodes) 16.660 * * [simplify]: iters left: 5 (22 enodes) 16.666 * * [simplify]: Extracting #0: cost 1 inf + 0 16.666 * * [simplify]: Extracting #1: cost 3 inf + 0 16.666 * * [simplify]: Extracting #2: cost 5 inf + 0 16.666 * * [simplify]: Extracting #3: cost 8 inf + 0 16.666 * * [simplify]: Extracting #4: cost 12 inf + 0 16.667 * * [simplify]: Extracting #5: cost 10 inf + 2 16.667 * * [simplify]: Extracting #6: cost 1 inf + 1056 16.667 * * [simplify]: Extracting #7: cost 0 inf + 1298 16.668 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 16.668 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt 1))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 16.668 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 16.668 * [simplify]: Simplifying (sqrt (cbrt (cbrt (+ (* re re) (* im im))))) 16.668 * * [simplify]: iters left: 6 (8 enodes) 16.672 * * [simplify]: iters left: 5 (25 enodes) 16.678 * * [simplify]: Extracting #0: cost 1 inf + 0 16.679 * * [simplify]: Extracting #1: cost 3 inf + 0 16.679 * * [simplify]: Extracting #2: cost 5 inf + 0 16.679 * * [simplify]: Extracting #3: cost 7 inf + 0 16.679 * * [simplify]: Extracting #4: cost 10 inf + 0 16.679 * * [simplify]: Extracting #5: cost 14 inf + 0 16.679 * * [simplify]: Extracting #6: cost 11 inf + 43 16.679 * * [simplify]: Extracting #7: cost 9 inf + 125 16.679 * * [simplify]: Extracting #8: cost 5 inf + 612 16.680 * * [simplify]: Extracting #9: cost 1 inf + 1700 16.680 * * [simplify]: Extracting #10: cost 0 inf + 2022 16.681 * [simplify]: Simplified to (sqrt (cbrt (cbrt (+ (* re re) (* im im))))) 16.681 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))))) (sqrt (cbrt (cbrt (+ (* re re) (* im im)))))) re))))) 16.681 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 16.681 * [simplify]: Simplifying (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 16.681 * * [simplify]: iters left: 6 (8 enodes) 16.685 * * [simplify]: iters left: 5 (25 enodes) 16.691 * * [simplify]: Extracting #0: cost 1 inf + 0 16.691 * * [simplify]: Extracting #1: cost 3 inf + 0 16.692 * * [simplify]: Extracting #2: cost 5 inf + 0 16.692 * * [simplify]: Extracting #3: cost 7 inf + 0 16.692 * * [simplify]: Extracting #4: cost 10 inf + 0 16.692 * * [simplify]: Extracting #5: cost 14 inf + 0 16.692 * * [simplify]: Extracting #6: cost 11 inf + 43 16.692 * * [simplify]: Extracting #7: cost 9 inf + 125 16.692 * * [simplify]: Extracting #8: cost 5 inf + 612 16.693 * * [simplify]: Extracting #9: cost 1 inf + 1580 16.693 * * [simplify]: Extracting #10: cost 0 inf + 1862 16.694 * [simplify]: Simplified to (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 16.694 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 16.694 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 16.695 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 16.695 * * [simplify]: iters left: 6 (7 enodes) 16.698 * * [simplify]: iters left: 5 (22 enodes) 16.704 * * [simplify]: Extracting #0: cost 1 inf + 0 16.704 * * [simplify]: Extracting #1: cost 3 inf + 0 16.704 * * [simplify]: Extracting #2: cost 5 inf + 0 16.704 * * [simplify]: Extracting #3: cost 8 inf + 0 16.704 * * [simplify]: Extracting #4: cost 12 inf + 0 16.704 * * [simplify]: Extracting #5: cost 10 inf + 2 16.705 * * [simplify]: Extracting #6: cost 1 inf + 1056 16.705 * * [simplify]: Extracting #7: cost 0 inf + 1298 16.705 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 16.706 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 16.706 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 16.706 * [simplify]: Simplifying (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 16.706 * * [simplify]: iters left: 6 (8 enodes) 16.709 * * [simplify]: iters left: 5 (25 enodes) 16.716 * * [simplify]: Extracting #0: cost 1 inf + 0 16.716 * * [simplify]: Extracting #1: cost 3 inf + 0 16.716 * * [simplify]: Extracting #2: cost 5 inf + 0 16.716 * * [simplify]: Extracting #3: cost 7 inf + 0 16.716 * * [simplify]: Extracting #4: cost 10 inf + 0 16.716 * * [simplify]: Extracting #5: cost 14 inf + 0 16.716 * * [simplify]: Extracting #6: cost 11 inf + 43 16.717 * * [simplify]: Extracting #7: cost 9 inf + 125 16.717 * * [simplify]: Extracting #8: cost 5 inf + 612 16.717 * * [simplify]: Extracting #9: cost 1 inf + 1580 16.718 * * [simplify]: Extracting #10: cost 0 inf + 1862 16.718 * [simplify]: Simplified to (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 16.718 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 16.718 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 16.719 * [simplify]: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) 16.719 * * [simplify]: iters left: 6 (7 enodes) 16.722 * * [simplify]: iters left: 5 (22 enodes) 16.728 * * [simplify]: Extracting #0: cost 1 inf + 0 16.728 * * [simplify]: Extracting #1: cost 3 inf + 0 16.728 * * [simplify]: Extracting #2: cost 5 inf + 0 16.728 * * [simplify]: Extracting #3: cost 8 inf + 0 16.728 * * [simplify]: Extracting #4: cost 12 inf + 0 16.728 * * [simplify]: Extracting #5: cost 10 inf + 2 16.728 * * [simplify]: Extracting #6: cost 1 inf + 1056 16.729 * * [simplify]: Extracting #7: cost 0 inf + 1298 16.729 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 16.729 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (fabs (cbrt (+ (* re re) (* im im)))) 1) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 16.729 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 16.730 * [simplify]: Simplifying (* (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im)))))) 16.730 * * [simplify]: iters left: 6 (9 enodes) 16.734 * * [simplify]: iters left: 5 (28 enodes) 16.742 * * [simplify]: Extracting #0: cost 1 inf + 0 16.742 * * [simplify]: Extracting #1: cost 3 inf + 0 16.742 * * [simplify]: Extracting #2: cost 5 inf + 0 16.742 * * [simplify]: Extracting #3: cost 7 inf + 0 16.743 * * [simplify]: Extracting #4: cost 9 inf + 0 16.743 * * [simplify]: Extracting #5: cost 12 inf + 0 16.743 * * [simplify]: Extracting #6: cost 16 inf + 0 16.743 * * [simplify]: Extracting #7: cost 12 inf + 84 16.743 * * [simplify]: Extracting #8: cost 10 inf + 166 16.743 * * [simplify]: Extracting #9: cost 7 inf + 612 16.744 * * [simplify]: Extracting #10: cost 4 inf + 1378 16.744 * * [simplify]: Extracting #11: cost 1 inf + 2304 16.745 * * [simplify]: Extracting #12: cost 0 inf + 2666 16.746 * [simplify]: Simplified to (* (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im)))))) 16.746 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im)))))) (* (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 16.746 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 16.746 * [simplify]: Simplifying (sqrt (fabs (cbrt (+ (* re re) (* im im))))) 16.746 * * [simplify]: iters left: 6 (8 enodes) 16.750 * * [simplify]: iters left: 5 (25 enodes) 16.757 * * [simplify]: Extracting #0: cost 1 inf + 0 16.757 * * [simplify]: Extracting #1: cost 3 inf + 0 16.757 * * [simplify]: Extracting #2: cost 5 inf + 0 16.757 * * [simplify]: Extracting #3: cost 7 inf + 0 16.757 * * [simplify]: Extracting #4: cost 10 inf + 0 16.757 * * [simplify]: Extracting #5: cost 14 inf + 0 16.757 * * [simplify]: Extracting #6: cost 11 inf + 43 16.757 * * [simplify]: Extracting #7: cost 9 inf + 125 16.757 * * [simplify]: Extracting #8: cost 5 inf + 612 16.758 * * [simplify]: Extracting #9: cost 1 inf + 1580 16.758 * * [simplify]: Extracting #10: cost 0 inf + 1862 16.759 * [simplify]: Simplified to (sqrt (fabs (cbrt (+ (* re re) (* im im))))) 16.759 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 16.759 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 16.759 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 16.760 * [simplify]: Simplifying (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) 16.760 * * [simplify]: iters left: 6 (11 enodes) 16.766 * * [simplify]: iters left: 5 (55 enodes) 16.781 * * [simplify]: iters left: 4 (122 enodes) 16.810 * * [simplify]: iters left: 3 (237 enodes) 16.882 * * [simplify]: iters left: 2 (369 enodes) 17.021 * * [simplify]: Extracting #0: cost 1 inf + 0 17.021 * * [simplify]: Extracting #1: cost 3 inf + 0 17.021 * * [simplify]: Extracting #2: cost 5 inf + 0 17.021 * * [simplify]: Extracting #3: cost 24 inf + 0 17.021 * * [simplify]: Extracting #4: cost 150 inf + 0 17.028 * * [simplify]: Extracting #5: cost 205 inf + 2387 17.034 * * [simplify]: Extracting #6: cost 111 inf + 16079 17.048 * * [simplify]: Extracting #7: cost 7 inf + 34269 17.062 * * [simplify]: Extracting #8: cost 0 inf + 35844 17.077 * [simplify]: Simplified to (sqrt (cbrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) 17.077 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (cbrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))))) re))))) 17.078 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 17.078 * [simplify]: Simplifying (sqrt (cbrt (- (* re re) (* im im)))) 17.078 * * [simplify]: iters left: 6 (7 enodes) 17.081 * * [simplify]: iters left: 5 (26 enodes) 17.089 * * [simplify]: iters left: 4 (39 enodes) 17.100 * * [simplify]: iters left: 3 (56 enodes) 17.118 * * [simplify]: iters left: 2 (97 enodes) 17.153 * * [simplify]: iters left: 1 (180 enodes) 17.213 * * [simplify]: Extracting #0: cost 1 inf + 0 17.213 * * [simplify]: Extracting #1: cost 3 inf + 0 17.213 * * [simplify]: Extracting #2: cost 5 inf + 0 17.213 * * [simplify]: Extracting #3: cost 25 inf + 0 17.213 * * [simplify]: Extracting #4: cost 59 inf + 0 17.214 * * [simplify]: Extracting #5: cost 53 inf + 290 17.215 * * [simplify]: Extracting #6: cost 20 inf + 3951 17.218 * * [simplify]: Extracting #7: cost 2 inf + 6227 17.222 * * [simplify]: Extracting #8: cost 0 inf + 6471 17.225 * [simplify]: Simplified to (sqrt (cbrt (- (* re re) (* im im)))) 17.225 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (cbrt (- (* re re) (* im im))))) re))))) 17.226 * * * * [progress]: [ 69 / 82 ] simplifiying candidate #real (real->posit16 (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))> 17.226 * * * * [progress]: [ 70 / 82 ] simplifiying candidate # 17.226 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 17.226 * [simplify]: Simplifying (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 17.226 * * [simplify]: iters left: 6 (15 enodes) 17.237 * * [simplify]: iters left: 5 (67 enodes) 17.256 * * [simplify]: iters left: 4 (129 enodes) 17.284 * * [simplify]: iters left: 3 (249 enodes) 17.373 * * [simplify]: Extracting #0: cost 1 inf + 0 17.373 * * [simplify]: Extracting #1: cost 4 inf + 0 17.374 * * [simplify]: Extracting #2: cost 42 inf + 0 17.374 * * [simplify]: Extracting #3: cost 107 inf + 85 17.375 * * [simplify]: Extracting #4: cost 100 inf + 1548 17.376 * * [simplify]: Extracting #5: cost 96 inf + 2853 17.379 * * [simplify]: Extracting #6: cost 53 inf + 18400 17.385 * * [simplify]: Extracting #7: cost 1 inf + 45742 17.396 * * [simplify]: Extracting #8: cost 0 inf + 46618 17.403 * [simplify]: Simplified to (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))) 17.403 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))))) re))))) 17.403 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 17.403 * [simplify]: Simplifying (pow (/ 1 re) -2/3) 17.403 * * [simplify]: iters left: 3 (5 enodes) 17.406 * * [simplify]: iters left: 2 (22 enodes) 17.411 * * [simplify]: iters left: 1 (38 enodes) 17.421 * * [simplify]: Extracting #0: cost 1 inf + 0 17.421 * * [simplify]: Extracting #1: cost 9 inf + 0 17.421 * * [simplify]: Extracting #2: cost 16 inf + 1 17.421 * * [simplify]: Extracting #3: cost 13 inf + 5 17.422 * * [simplify]: Extracting #4: cost 6 inf + 1102 17.422 * * [simplify]: Extracting #5: cost 0 inf + 3162 17.423 * [simplify]: Simplified to (pow (/ 1 re) -2/3) 17.423 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (pow (/ 1 re) -2/3))) re))))) 17.423 * * * * [progress]: [ 73 / 82 ] simplifiying candidate # 17.423 * [simplify]: Simplifying (pow (/ -1 re) -2/3) 17.423 * * [simplify]: iters left: 3 (5 enodes) 17.427 * * [simplify]: iters left: 2 (20 enodes) 17.435 * * [simplify]: iters left: 1 (34 enodes) 17.449 * * [simplify]: Extracting #0: cost 1 inf + 0 17.449 * * [simplify]: Extracting #1: cost 9 inf + 0 17.450 * * [simplify]: Extracting #2: cost 16 inf + 1 17.450 * * [simplify]: Extracting #3: cost 13 inf + 5 17.450 * * [simplify]: Extracting #4: cost 4 inf + 1648 17.450 * * [simplify]: Extracting #5: cost 0 inf + 3162 17.451 * [simplify]: Simplified to (pow (/ -1 re) -2/3) 17.451 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (pow (/ -1 re) -2/3))) re))))) 17.451 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 17.451 * [simplify]: Simplifying (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 17.452 * * [simplify]: iters left: 6 (15 enodes) 17.462 * * [simplify]: iters left: 5 (67 enodes) 17.489 * * [simplify]: iters left: 4 (129 enodes) 17.541 * * [simplify]: iters left: 3 (249 enodes) 17.638 * * [simplify]: Extracting #0: cost 1 inf + 0 17.638 * * [simplify]: Extracting #1: cost 4 inf + 0 17.638 * * [simplify]: Extracting #2: cost 42 inf + 0 17.638 * * [simplify]: Extracting #3: cost 107 inf + 85 17.639 * * [simplify]: Extracting #4: cost 100 inf + 1548 17.640 * * [simplify]: Extracting #5: cost 96 inf + 2853 17.642 * * [simplify]: Extracting #6: cost 53 inf + 18400 17.648 * * [simplify]: Extracting #7: cost 1 inf + 45742 17.658 * * [simplify]: Extracting #8: cost 0 inf + 46618 17.665 * [simplify]: Simplified to (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im))) 17.665 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (+ (* (* (cbrt (/ 1 (* (* im im) (* im im)))) (* re re)) 1/3) (* (cbrt im) (cbrt im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 17.665 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 17.665 * [simplify]: Simplifying (pow (/ 1 re) -2/3) 17.665 * * [simplify]: iters left: 3 (5 enodes) 17.668 * * [simplify]: iters left: 2 (22 enodes) 17.678 * * [simplify]: iters left: 1 (38 enodes) 17.689 * * [simplify]: Extracting #0: cost 1 inf + 0 17.689 * * [simplify]: Extracting #1: cost 9 inf + 0 17.689 * * [simplify]: Extracting #2: cost 16 inf + 1 17.689 * * [simplify]: Extracting #3: cost 13 inf + 5 17.689 * * [simplify]: Extracting #4: cost 6 inf + 1102 17.689 * * [simplify]: Extracting #5: cost 0 inf + 3162 17.690 * [simplify]: Simplified to (pow (/ 1 re) -2/3) 17.690 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (pow (/ 1 re) -2/3)) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 17.690 * * * * [progress]: [ 76 / 82 ] simplifiying candidate # 17.690 * [simplify]: Simplifying (pow (/ -1 re) -2/3) 17.690 * * [simplify]: iters left: 3 (5 enodes) 17.692 * * [simplify]: iters left: 2 (20 enodes) 17.697 * * [simplify]: iters left: 1 (34 enodes) 17.705 * * [simplify]: Extracting #0: cost 1 inf + 0 17.705 * * [simplify]: Extracting #1: cost 9 inf + 0 17.705 * * [simplify]: Extracting #2: cost 16 inf + 1 17.705 * * [simplify]: Extracting #3: cost 13 inf + 5 17.705 * * [simplify]: Extracting #4: cost 4 inf + 1648 17.706 * * [simplify]: Extracting #5: cost 0 inf + 3162 17.706 * [simplify]: Simplified to (pow (/ -1 re) -2/3) 17.706 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (pow (/ -1 re) -2/3)) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 17.706 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 17.706 * [simplify]: Simplifying (- (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) (* 1/6 (* (* (pow re 2) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 5)) 1/3)))) re) 17.706 * * [simplify]: iters left: 6 (22 enodes) 17.716 * * [simplify]: iters left: 5 (103 enodes) 17.746 * * [simplify]: iters left: 4 (200 enodes) 17.812 * * [simplify]: iters left: 3 (473 enodes) 17.974 * * [simplify]: Extracting #0: cost 1 inf + 0 17.974 * * [simplify]: Extracting #1: cost 10 inf + 0 17.974 * * [simplify]: Extracting #2: cost 88 inf + 1 17.975 * * [simplify]: Extracting #3: cost 207 inf + 208 17.976 * * [simplify]: Extracting #4: cost 206 inf + 1430 17.977 * * [simplify]: Extracting #5: cost 220 inf + 4805 17.980 * * [simplify]: Extracting #6: cost 202 inf + 14567 17.984 * * [simplify]: Extracting #7: cost 159 inf + 32793 17.995 * * [simplify]: Extracting #8: cost 53 inf + 102606 18.030 * * [simplify]: Extracting #9: cost 2 inf + 140710 18.049 * * [simplify]: Extracting #10: cost 0 inf + 140553 18.083 * * [simplify]: Extracting #11: cost 0 inf + 140473 18.119 * [simplify]: Simplified to (- (* (fabs (cbrt (+ (* im im) (* re re)))) (+ (* (* 1/6 (cbrt (/ 1 (pow im 5)))) (* re re)) (cbrt im))) re) 18.119 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* im im) (* re re)))) (+ (* (* 1/6 (cbrt (/ 1 (pow im 5)))) (* re re)) (cbrt im))) re))))) 18.119 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 18.119 * [simplify]: Simplifying (- (* (pow re 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) re) 18.120 * * [simplify]: iters left: 6 (12 enodes) 18.127 * * [simplify]: iters left: 5 (56 enodes) 18.148 * * [simplify]: iters left: 4 (88 enodes) 18.181 * * [simplify]: iters left: 3 (159 enodes) 18.213 * * [simplify]: iters left: 2 (287 enodes) 18.294 * * [simplify]: Extracting #0: cost 1 inf + 0 18.294 * * [simplify]: Extracting #1: cost 5 inf + 0 18.294 * * [simplify]: Extracting #2: cost 28 inf + 1 18.295 * * [simplify]: Extracting #3: cost 82 inf + 164 18.296 * * [simplify]: Extracting #4: cost 83 inf + 676 18.297 * * [simplify]: Extracting #5: cost 86 inf + 6672 18.300 * * [simplify]: Extracting #6: cost 81 inf + 12820 18.302 * * [simplify]: Extracting #7: cost 71 inf + 14046 18.311 * * [simplify]: Extracting #8: cost 18 inf + 46509 18.324 * * [simplify]: Extracting #9: cost 0 inf + 58625 18.337 * * [simplify]: Extracting #10: cost 0 inf + 58101 18.350 * [simplify]: Simplified to (- (* (cbrt re) (fabs (cbrt (+ (* im im) (* re re))))) re) 18.351 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (cbrt re) (fabs (cbrt (+ (* im im) (* re re))))) re))))) 18.351 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 18.351 * [simplify]: Simplifying (- (* (pow (* re -1) 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) re) 18.351 * * [simplify]: iters left: 6 (14 enodes) 18.360 * * [simplify]: iters left: 5 (63 enodes) 18.382 * * [simplify]: iters left: 4 (92 enodes) 18.400 * * [simplify]: iters left: 3 (162 enodes) 18.455 * * [simplify]: iters left: 2 (289 enodes) 18.559 * * [simplify]: Extracting #0: cost 1 inf + 0 18.559 * * [simplify]: Extracting #1: cost 5 inf + 0 18.559 * * [simplify]: Extracting #2: cost 28 inf + 1 18.560 * * [simplify]: Extracting #3: cost 78 inf + 205 18.561 * * [simplify]: Extracting #4: cost 81 inf + 585 18.562 * * [simplify]: Extracting #5: cost 86 inf + 7139 18.565 * * [simplify]: Extracting #6: cost 79 inf + 13598 18.568 * * [simplify]: Extracting #7: cost 73 inf + 14267 18.574 * * [simplify]: Extracting #8: cost 39 inf + 31727 18.580 * * [simplify]: Extracting #9: cost 1 inf + 58963 18.587 * * [simplify]: Extracting #10: cost 0 inf + 59103 18.594 * [simplify]: Simplified to (+ (* (fabs (cbrt (+ (* im im) (* re re)))) (cbrt (- re))) (- re)) 18.595 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* im im) (* re re)))) (cbrt (- re))) (- re)))))) 18.595 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 18.595 * [simplify]: Simplifying (+ (* (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) (pow im 1/3)) (* 1/6 (* (* (pow re 2) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 5)) 1/3)))) 18.595 * * [simplify]: iters left: 6 (21 enodes) 18.606 * * [simplify]: iters left: 5 (96 enodes) 18.642 * * [simplify]: iters left: 4 (181 enodes) 18.722 * * [simplify]: iters left: 3 (444 enodes) 18.860 * * [simplify]: Extracting #0: cost 1 inf + 0 18.860 * * [simplify]: Extracting #1: cost 7 inf + 0 18.860 * * [simplify]: Extracting #2: cost 83 inf + 0 18.861 * * [simplify]: Extracting #3: cost 213 inf + 125 18.862 * * [simplify]: Extracting #4: cost 220 inf + 1136 18.864 * * [simplify]: Extracting #5: cost 201 inf + 11401 18.868 * * [simplify]: Extracting #6: cost 176 inf + 27115 18.877 * * [simplify]: Extracting #7: cost 156 inf + 35062 18.887 * * [simplify]: Extracting #8: cost 73 inf + 83029 18.912 * * [simplify]: Extracting #9: cost 4 inf + 138845 18.947 * * [simplify]: Extracting #10: cost 0 inf + 142380 18.982 * [simplify]: Simplified to (* (fabs (cbrt (+ (* im im) (* re re)))) (+ (cbrt im) (* (cbrt (/ 1 (pow im 5))) (* 1/6 (* re re))))) 18.982 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* im im) (* re re)))) (+ (cbrt im) (* (cbrt (/ 1 (pow im 5))) (* 1/6 (* re re))))) re))))) 18.982 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 18.982 * [simplify]: Simplifying (* (pow re 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 18.983 * * [simplify]: iters left: 6 (11 enodes) 18.990 * * [simplify]: iters left: 5 (51 enodes) 19.005 * * [simplify]: iters left: 4 (80 enodes) 19.024 * * [simplify]: iters left: 3 (151 enodes) 19.071 * * [simplify]: iters left: 2 (294 enodes) 19.171 * * [simplify]: Extracting #0: cost 1 inf + 0 19.171 * * [simplify]: Extracting #1: cost 21 inf + 0 19.171 * * [simplify]: Extracting #2: cost 74 inf + 0 19.171 * * [simplify]: Extracting #3: cost 73 inf + 1067 19.172 * * [simplify]: Extracting #4: cost 80 inf + 5702 19.173 * * [simplify]: Extracting #5: cost 73 inf + 11310 19.174 * * [simplify]: Extracting #6: cost 63 inf + 13340 19.177 * * [simplify]: Extracting #7: cost 25 inf + 33820 19.183 * * [simplify]: Extracting #8: cost 2 inf + 49663 19.192 * * [simplify]: Extracting #9: cost 0 inf + 50951 19.203 * [simplify]: Simplified to (* (cbrt re) (fabs (cbrt (+ (* im im) (* re re))))) 19.203 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (cbrt re) (fabs (cbrt (+ (* im im) (* re re))))) re))))) 19.203 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 19.204 * [simplify]: Simplifying (* (pow (* re -1) 1/3) (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 19.204 * * [simplify]: iters left: 6 (13 enodes) 19.212 * * [simplify]: iters left: 5 (58 enodes) 19.230 * * [simplify]: iters left: 4 (88 enodes) 19.248 * * [simplify]: iters left: 3 (159 enodes) 19.282 * * [simplify]: iters left: 2 (294 enodes) 19.382 * * [simplify]: Extracting #0: cost 1 inf + 0 19.382 * * [simplify]: Extracting #1: cost 23 inf + 0 19.382 * * [simplify]: Extracting #2: cost 78 inf + 0 19.383 * * [simplify]: Extracting #3: cost 86 inf + 7 19.383 * * [simplify]: Extracting #4: cost 97 inf + 1684 19.384 * * [simplify]: Extracting #5: cost 85 inf + 8519 19.385 * * [simplify]: Extracting #6: cost 73 inf + 12799 19.389 * * [simplify]: Extracting #7: cost 32 inf + 36750 19.395 * * [simplify]: Extracting #8: cost 4 inf + 55331 19.402 * * [simplify]: Extracting #9: cost 0 inf + 58209 19.409 * [simplify]: Simplified to (* (fabs (cbrt (+ (* im im) (* re re)))) (cbrt (- re))) 19.409 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* im im) (* re re)))) (cbrt (- re))) re))))) 19.410 * * * [progress]: adding candidates to table 20.511 * [progress]: [Phase 3 of 3] Extracting. 20.512 * * [regime]: Finding splitpoints for: (# # # # # # # #real (real->posit16 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))> # # # # # # #) 20.521 * * * [regime-changes]: Trying 3 branch expressions: (im (* im im) re) 20.521 * * * * [regimes]: Trying to branch on im from (# # # # # # # #real (real->posit16 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))> # # # # # # #) 20.690 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #real (real->posit16 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))> # # # # # # #) 20.833 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #real (real->posit16 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))> # # # # # #) 20.971 * * * * [regimes]: Trying to branch on re from (# # # # # # # #real (real->posit16 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))> # # # # # # #) 21.132 * * * [regime]: Found split indices: #